0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.230 * * * [progress]: [2/2] Setting up program. 0.258 * [progress]: [Phase 2 of 3] Improving. 0.258 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.258 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.259 * * [simplify]: iters left: 6 (13 enodes) 0.269 * * [simplify]: iters left: 5 (57 enodes) 0.288 * * [simplify]: iters left: 4 (96 enodes) 0.321 * * [simplify]: iters left: 3 (172 enodes) 0.396 * * [simplify]: iters left: 2 (338 enodes) 0.514 * * [simplify]: Extracting #0: cost 1 inf + 0 0.514 * * [simplify]: Extracting #1: cost 41 inf + 0 0.514 * * [simplify]: Extracting #2: cost 120 inf + 1 0.515 * * [simplify]: Extracting #3: cost 166 inf + 127 0.517 * * [simplify]: Extracting #4: cost 163 inf + 676 0.520 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.530 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.544 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.557 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.576 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.576 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.589 * * [progress]: iteration 1 / 4 0.589 * * * [progress]: picking best candidate 0.599 * * * * [pick]: Picked # 0.599 * * * [progress]: localizing error 0.621 * * * [progress]: generating rewritten candidates 0.621 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.639 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.658 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.673 * * * [progress]: generating series expansions 0.673 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.674 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.674 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.674 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.674 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.674 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.674 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.674 * [taylor]: Taking taylor expansion of 1/2 in k 0.674 * [backup-simplify]: Simplify 1/2 into 1/2 0.674 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.674 * [taylor]: Taking taylor expansion of 1 in k 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of k in k 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.674 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.674 * [taylor]: Taking taylor expansion of 2 in k 0.674 * [backup-simplify]: Simplify 2 into 2 0.674 * [taylor]: Taking taylor expansion of (* n PI) in k 0.674 * [taylor]: Taking taylor expansion of n in k 0.674 * [backup-simplify]: Simplify n into n 0.674 * [taylor]: Taking taylor expansion of PI in k 0.674 * [backup-simplify]: Simplify PI into PI 0.674 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.674 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.674 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify (+ 1 0) into 1 0.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.675 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.675 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.675 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.675 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.675 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.675 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.675 * [taylor]: Taking taylor expansion of 1/2 in n 0.675 * [backup-simplify]: Simplify 1/2 into 1/2 0.675 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.675 * [taylor]: Taking taylor expansion of 1 in n 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of k in n 0.675 * [backup-simplify]: Simplify k into k 0.675 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.675 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.675 * [taylor]: Taking taylor expansion of 2 in n 0.675 * [backup-simplify]: Simplify 2 into 2 0.675 * [taylor]: Taking taylor expansion of (* n PI) in n 0.675 * [taylor]: Taking taylor expansion of n in n 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of PI in n 0.675 * [backup-simplify]: Simplify PI into PI 0.676 * [backup-simplify]: Simplify (* 0 PI) into 0 0.676 * [backup-simplify]: Simplify (* 2 0) into 0 0.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.678 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.678 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.678 * [backup-simplify]: Simplify (- k) into (- k) 0.678 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.679 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.679 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.680 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.681 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.681 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.681 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.681 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.681 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.681 * [taylor]: Taking taylor expansion of 1/2 in n 0.681 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.681 * [taylor]: Taking taylor expansion of 1 in n 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of k in n 0.681 * [backup-simplify]: Simplify k into k 0.681 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.681 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.681 * [taylor]: Taking taylor expansion of 2 in n 0.681 * [backup-simplify]: Simplify 2 into 2 0.681 * [taylor]: Taking taylor expansion of (* n PI) in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of PI in n 0.681 * [backup-simplify]: Simplify PI into PI 0.681 * [backup-simplify]: Simplify (* 0 PI) into 0 0.682 * [backup-simplify]: Simplify (* 2 0) into 0 0.683 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.685 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.685 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.686 * [backup-simplify]: Simplify (- k) into (- k) 0.686 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.686 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.687 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.688 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.689 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.690 * [taylor]: Taking taylor expansion of 1/2 in k 0.690 * [backup-simplify]: Simplify 1/2 into 1/2 0.690 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.690 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.690 * [taylor]: Taking taylor expansion of 1 in k 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of k in k 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.690 * [taylor]: Taking taylor expansion of (log n) in k 0.690 * [taylor]: Taking taylor expansion of n in k 0.690 * [backup-simplify]: Simplify n into n 0.690 * [backup-simplify]: Simplify (log n) into (log n) 0.690 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.690 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.690 * [taylor]: Taking taylor expansion of 2 in k 0.690 * [backup-simplify]: Simplify 2 into 2 0.690 * [taylor]: Taking taylor expansion of PI in k 0.690 * [backup-simplify]: Simplify PI into PI 0.690 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.691 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.693 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.694 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.695 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 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 (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.703 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.704 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.706 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.706 * [taylor]: Taking taylor expansion of 0 in k 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.708 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (- 1) into -1 0.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.714 * [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))))) 0.715 * [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))))))) 0.717 * [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))))))) 0.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.720 * [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 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.723 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.724 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.724 * [taylor]: Taking taylor expansion of 0 in k 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.728 * [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 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.733 * [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))))) 0.736 * [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))))) 0.742 * [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))))) 0.743 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.743 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.743 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.743 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.743 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.743 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.743 * [taylor]: Taking taylor expansion of 1/2 in k 0.743 * [backup-simplify]: Simplify 1/2 into 1/2 0.743 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.743 * [taylor]: Taking taylor expansion of 1 in k 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.743 * [taylor]: Taking taylor expansion of k in k 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.744 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.744 * [taylor]: Taking taylor expansion of 2 in k 0.744 * [backup-simplify]: Simplify 2 into 2 0.744 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.744 * [taylor]: Taking taylor expansion of PI in k 0.744 * [backup-simplify]: Simplify PI into PI 0.744 * [taylor]: Taking taylor expansion of n in k 0.744 * [backup-simplify]: Simplify n into n 0.744 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.744 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.744 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.745 * [backup-simplify]: Simplify (- 1) into -1 0.745 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.745 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.746 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.746 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.746 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.746 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.746 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.746 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.746 * [taylor]: Taking taylor expansion of 1/2 in n 0.746 * [backup-simplify]: Simplify 1/2 into 1/2 0.746 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.746 * [taylor]: Taking taylor expansion of 1 in n 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.746 * [taylor]: Taking taylor expansion of k in n 0.746 * [backup-simplify]: Simplify k into k 0.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.747 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.747 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.747 * [taylor]: Taking taylor expansion of 2 in n 0.747 * [backup-simplify]: Simplify 2 into 2 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.747 * [taylor]: Taking taylor expansion of PI in n 0.747 * [backup-simplify]: Simplify PI into PI 0.747 * [taylor]: Taking taylor expansion of n in n 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (/ PI 1) into PI 0.748 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.749 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.749 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.749 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.749 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.751 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.752 * [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))))) 0.753 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.753 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.753 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.753 * [taylor]: Taking taylor expansion of 1/2 in n 0.753 * [backup-simplify]: Simplify 1/2 into 1/2 0.753 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.753 * [taylor]: Taking taylor expansion of 1 in n 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.753 * [backup-simplify]: Simplify k into k 0.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.753 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.753 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.753 * [taylor]: Taking taylor expansion of 2 in n 0.753 * [backup-simplify]: Simplify 2 into 2 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [backup-simplify]: Simplify PI into PI 0.753 * [taylor]: Taking taylor expansion of n in n 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (/ PI 1) into PI 0.754 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.755 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.755 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.755 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.755 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.758 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.759 * [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))))) 0.759 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.759 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.759 * [taylor]: Taking taylor expansion of 1/2 in k 0.759 * [backup-simplify]: Simplify 1/2 into 1/2 0.759 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.759 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.759 * [taylor]: Taking taylor expansion of 1 in k 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.759 * [taylor]: Taking taylor expansion of k in k 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.760 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.760 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.760 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.760 * [taylor]: Taking taylor expansion of 2 in k 0.760 * [backup-simplify]: Simplify 2 into 2 0.760 * [taylor]: Taking taylor expansion of PI in k 0.760 * [backup-simplify]: Simplify PI into PI 0.760 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.765 * [taylor]: Taking taylor expansion of (log n) in k 0.765 * [taylor]: Taking taylor expansion of n in k 0.765 * [backup-simplify]: Simplify n into n 0.765 * [backup-simplify]: Simplify (log n) into (log n) 0.766 * [backup-simplify]: Simplify (- 1) into -1 0.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.767 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.768 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.769 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.770 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.771 * [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 * [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))))) 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.779 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.781 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.781 * [taylor]: Taking taylor expansion of 0 in k 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.787 * [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 0.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.787 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.790 * [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 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.794 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.794 * [taylor]: Taking taylor expansion of 0 in k 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.802 * [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 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.807 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.810 * [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 0.810 * [taylor]: Taking taylor expansion of 0 in k 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.811 * [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)))))) 0.812 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.812 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.812 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.812 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.812 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.812 * [taylor]: Taking taylor expansion of 1/2 in k 0.812 * [backup-simplify]: Simplify 1/2 into 1/2 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.812 * [taylor]: Taking taylor expansion of k in k 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [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 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.814 * [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))))) 0.820 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.820 * [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 0.821 * [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) 0.823 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.825 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 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 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of 1 in k 0.827 * [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 0.839 * [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 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.843 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in k 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.851 * [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 0.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.856 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.858 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.858 * [taylor]: Taking taylor expansion of 0 in k 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [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 0.862 * [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 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.864 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.866 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.867 * [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 0.867 * [taylor]: Taking taylor expansion of 0 in k 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [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)))))) 0.868 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.868 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.868 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.868 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.868 * [taylor]: Taking taylor expansion of 2 in n 0.868 * [backup-simplify]: Simplify 2 into 2 0.868 * [taylor]: Taking taylor expansion of (* n PI) in n 0.868 * [taylor]: Taking taylor expansion of n in n 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [backup-simplify]: Simplify PI into PI 0.869 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.869 * [taylor]: Taking taylor expansion of 2 in n 0.869 * [backup-simplify]: Simplify 2 into 2 0.869 * [taylor]: Taking taylor expansion of (* n PI) in n 0.869 * [taylor]: Taking taylor expansion of n in n 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of PI in n 0.869 * [backup-simplify]: Simplify PI into PI 0.869 * [backup-simplify]: Simplify (* 0 PI) into 0 0.869 * [backup-simplify]: Simplify (* 2 0) into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.871 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.871 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.882 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.882 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.882 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.882 * [taylor]: Taking taylor expansion of 2 in n 0.882 * [backup-simplify]: Simplify 2 into 2 0.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.882 * [taylor]: Taking taylor expansion of PI in n 0.882 * [backup-simplify]: Simplify PI into PI 0.882 * [taylor]: Taking taylor expansion of n in n 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ PI 1) into PI 0.882 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.882 * [taylor]: Taking taylor expansion of 2 in n 0.882 * [backup-simplify]: Simplify 2 into 2 0.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.882 * [taylor]: Taking taylor expansion of PI in n 0.882 * [backup-simplify]: Simplify PI into PI 0.882 * [taylor]: Taking taylor expansion of n in n 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ PI 1) into PI 0.883 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.883 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [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 0.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.897 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) 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 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.915 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.916 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.916 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.916 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.916 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.916 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.916 * [taylor]: Taking taylor expansion of 1/2 in k 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.916 * [taylor]: Taking taylor expansion of 1 in k 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of k in k 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.916 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.916 * [taylor]: Taking taylor expansion of 2 in k 0.916 * [backup-simplify]: Simplify 2 into 2 0.916 * [taylor]: Taking taylor expansion of (* n PI) in k 0.916 * [taylor]: Taking taylor expansion of n in k 0.916 * [backup-simplify]: Simplify n into n 0.916 * [taylor]: Taking taylor expansion of PI in k 0.916 * [backup-simplify]: Simplify PI into PI 0.916 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.916 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.916 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ 1 0) into 1 0.918 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.918 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.918 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.918 * [taylor]: Taking taylor expansion of k in k 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.919 * [backup-simplify]: Simplify (sqrt 0) into 0 0.921 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.921 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.921 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.921 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.921 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.921 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.921 * [taylor]: Taking taylor expansion of 1/2 in n 0.921 * [backup-simplify]: Simplify 1/2 into 1/2 0.921 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.921 * [taylor]: Taking taylor expansion of 1 in n 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of k in n 0.921 * [backup-simplify]: Simplify k into k 0.921 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.921 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.921 * [taylor]: Taking taylor expansion of 2 in n 0.921 * [backup-simplify]: Simplify 2 into 2 0.921 * [taylor]: Taking taylor expansion of (* n PI) in n 0.921 * [taylor]: Taking taylor expansion of n in n 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of PI in n 0.921 * [backup-simplify]: Simplify PI into PI 0.922 * [backup-simplify]: Simplify (* 0 PI) into 0 0.922 * [backup-simplify]: Simplify (* 2 0) into 0 0.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.925 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.926 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.926 * [backup-simplify]: Simplify (- k) into (- k) 0.927 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.927 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.929 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.930 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.930 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.930 * [taylor]: Taking taylor expansion of k in n 0.930 * [backup-simplify]: Simplify k into k 0.931 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.931 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.931 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.931 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.931 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.931 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.931 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.931 * [taylor]: Taking taylor expansion of 1/2 in n 0.931 * [backup-simplify]: Simplify 1/2 into 1/2 0.931 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.931 * [taylor]: Taking taylor expansion of 1 in n 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of k in n 0.931 * [backup-simplify]: Simplify k into k 0.931 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.931 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.931 * [taylor]: Taking taylor expansion of 2 in n 0.931 * [backup-simplify]: Simplify 2 into 2 0.931 * [taylor]: Taking taylor expansion of (* n PI) in n 0.931 * [taylor]: Taking taylor expansion of n in n 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of PI in n 0.931 * [backup-simplify]: Simplify PI into PI 0.932 * [backup-simplify]: Simplify (* 0 PI) into 0 0.932 * [backup-simplify]: Simplify (* 2 0) into 0 0.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.935 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.936 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.936 * [backup-simplify]: Simplify (- k) into (- k) 0.936 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.936 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.938 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.938 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.939 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.939 * [taylor]: Taking taylor expansion of k in n 0.939 * [backup-simplify]: Simplify k into k 0.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.939 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.940 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 0.940 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.940 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.940 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.940 * [taylor]: Taking taylor expansion of 1/2 in k 0.940 * [backup-simplify]: Simplify 1/2 into 1/2 0.940 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.940 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.940 * [taylor]: Taking taylor expansion of 1 in k 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [taylor]: Taking taylor expansion of k in k 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.940 * [taylor]: Taking taylor expansion of (log n) in k 0.940 * [taylor]: Taking taylor expansion of n in k 0.940 * [backup-simplify]: Simplify n into n 0.940 * [backup-simplify]: Simplify (log n) into (log n) 0.940 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.940 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.940 * [taylor]: Taking taylor expansion of 2 in k 0.940 * [backup-simplify]: Simplify 2 into 2 0.940 * [taylor]: Taking taylor expansion of PI in k 0.940 * [backup-simplify]: Simplify PI into PI 0.941 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.941 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.943 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.943 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.944 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.944 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.944 * [taylor]: Taking taylor expansion of k in k 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.945 * [backup-simplify]: Simplify (sqrt 0) into 0 0.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.946 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.949 * [backup-simplify]: Simplify (- 0) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.950 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.951 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.953 * [taylor]: Taking taylor expansion of 0 in k 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.954 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (- 1) into -1 0.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.958 * [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))))) 0.959 * [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))))))) 0.962 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.962 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.966 * [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 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.969 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.971 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in k 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.978 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.982 * [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 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.992 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1.001 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.006 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.013 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.019 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.022 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.024 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.027 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.029 * [taylor]: Taking taylor expansion of 0 in k 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.037 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.044 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (- 0) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.074 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.085 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.104 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.105 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.105 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.105 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.105 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.105 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.105 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.105 * [taylor]: Taking taylor expansion of 1/2 in k 1.105 * [backup-simplify]: Simplify 1/2 into 1/2 1.105 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.105 * [taylor]: Taking taylor expansion of 1 in k 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.105 * [taylor]: Taking taylor expansion of k in k 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.105 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.106 * [taylor]: Taking taylor expansion of 2 in k 1.106 * [backup-simplify]: Simplify 2 into 2 1.106 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.106 * [taylor]: Taking taylor expansion of PI in k 1.106 * [backup-simplify]: Simplify PI into PI 1.106 * [taylor]: Taking taylor expansion of n in k 1.106 * [backup-simplify]: Simplify n into n 1.106 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.106 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.106 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.106 * [backup-simplify]: Simplify (- 1) into -1 1.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.107 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.107 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.107 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.107 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.107 * [taylor]: Taking taylor expansion of k in k 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (sqrt 0) into 0 1.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.109 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.109 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.109 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.109 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.109 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.109 * [taylor]: Taking taylor expansion of 1/2 in n 1.109 * [backup-simplify]: Simplify 1/2 into 1/2 1.109 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.109 * [taylor]: Taking taylor expansion of 1 in n 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.109 * [taylor]: Taking taylor expansion of k in n 1.109 * [backup-simplify]: Simplify k into k 1.110 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.110 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.110 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.110 * [taylor]: Taking taylor expansion of 2 in n 1.110 * [backup-simplify]: Simplify 2 into 2 1.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.110 * [taylor]: Taking taylor expansion of PI in n 1.110 * [backup-simplify]: Simplify PI into PI 1.110 * [taylor]: Taking taylor expansion of n in n 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ PI 1) into PI 1.111 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.112 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.112 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.112 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.112 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.114 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.115 * [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))))) 1.115 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.115 * [taylor]: Taking taylor expansion of k in n 1.115 * [backup-simplify]: Simplify k into k 1.115 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.115 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.115 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.115 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.115 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.115 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.115 * [taylor]: Taking taylor expansion of 1/2 in n 1.115 * [backup-simplify]: Simplify 1/2 into 1/2 1.115 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.115 * [taylor]: Taking taylor expansion of 1 in n 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.115 * [taylor]: Taking taylor expansion of k in n 1.115 * [backup-simplify]: Simplify k into k 1.115 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.115 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.115 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.115 * [taylor]: Taking taylor expansion of 2 in n 1.115 * [backup-simplify]: Simplify 2 into 2 1.115 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.115 * [taylor]: Taking taylor expansion of PI in n 1.115 * [backup-simplify]: Simplify PI into PI 1.115 * [taylor]: Taking taylor expansion of n in n 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (/ PI 1) into PI 1.116 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.116 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.116 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.116 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.117 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.118 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.119 * [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))))) 1.119 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.119 * [taylor]: Taking taylor expansion of k in n 1.119 * [backup-simplify]: Simplify k into k 1.119 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.120 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.120 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.120 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.120 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.120 * [taylor]: Taking taylor expansion of 1/2 in k 1.120 * [backup-simplify]: Simplify 1/2 into 1/2 1.120 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.120 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.120 * [taylor]: Taking taylor expansion of 1 in k 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.120 * [taylor]: Taking taylor expansion of k in k 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.120 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.120 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.120 * [taylor]: Taking taylor expansion of 2 in k 1.120 * [backup-simplify]: Simplify 2 into 2 1.120 * [taylor]: Taking taylor expansion of PI in k 1.120 * [backup-simplify]: Simplify PI into PI 1.120 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.121 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.121 * [taylor]: Taking taylor expansion of (log n) in k 1.121 * [taylor]: Taking taylor expansion of n in k 1.121 * [backup-simplify]: Simplify n into n 1.121 * [backup-simplify]: Simplify (log n) into (log n) 1.121 * [backup-simplify]: Simplify (- 1) into -1 1.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.122 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.122 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.123 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.124 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.124 * [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))))) 1.124 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.124 * [taylor]: Taking taylor expansion of k in k 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (sqrt 0) into 0 1.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.126 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.131 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.132 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.133 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.133 * [taylor]: Taking taylor expansion of 0 in k 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.134 * [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))))))) 1.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.143 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.144 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.145 * [taylor]: Taking taylor expansion of 0 in k 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.148 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.149 * [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))))))) 1.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.154 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.160 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.162 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.164 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.164 * [taylor]: Taking taylor expansion of 0 in k 1.164 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.171 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.172 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.176 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.177 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.177 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.177 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.177 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.177 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.177 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.177 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.177 * [taylor]: Taking taylor expansion of 1/2 in k 1.177 * [backup-simplify]: Simplify 1/2 into 1/2 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.177 * [taylor]: Taking taylor expansion of k in k 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.178 * [taylor]: Taking taylor expansion of 1 in k 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.178 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.178 * [taylor]: Taking taylor expansion of -2 in k 1.178 * [backup-simplify]: Simplify -2 into -2 1.178 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.178 * [taylor]: Taking taylor expansion of PI in k 1.178 * [backup-simplify]: Simplify PI into PI 1.178 * [taylor]: Taking taylor expansion of n in k 1.178 * [backup-simplify]: Simplify n into n 1.178 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.178 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.178 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.179 * [backup-simplify]: Simplify (+ 1 0) into 1 1.179 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.179 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.180 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.180 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.180 * [taylor]: Taking taylor expansion of -1 in k 1.180 * [backup-simplify]: Simplify -1 into -1 1.180 * [taylor]: Taking taylor expansion of k in k 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (/ -1 1) into -1 1.181 * [backup-simplify]: Simplify (sqrt 0) into 0 1.182 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.182 * [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))))) 1.182 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.182 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.182 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.182 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.182 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.182 * [taylor]: Taking taylor expansion of 1/2 in n 1.182 * [backup-simplify]: Simplify 1/2 into 1/2 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.182 * [taylor]: Taking taylor expansion of k in n 1.182 * [backup-simplify]: Simplify k into k 1.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.183 * [taylor]: Taking taylor expansion of 1 in n 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.183 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.183 * [taylor]: Taking taylor expansion of -2 in n 1.183 * [backup-simplify]: Simplify -2 into -2 1.183 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.183 * [taylor]: Taking taylor expansion of PI in n 1.183 * [backup-simplify]: Simplify PI into PI 1.183 * [taylor]: Taking taylor expansion of n in n 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (/ PI 1) into PI 1.184 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.185 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.185 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.185 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.187 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.189 * [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))))) 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.189 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.189 * [taylor]: Taking taylor expansion of -1 in n 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of k in n 1.189 * [backup-simplify]: Simplify k into k 1.189 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.189 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.189 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.190 * [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))) 1.190 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.191 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.191 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.191 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.191 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.191 * [taylor]: Taking taylor expansion of 1/2 in n 1.191 * [backup-simplify]: Simplify 1/2 into 1/2 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.191 * [taylor]: Taking taylor expansion of k in n 1.191 * [backup-simplify]: Simplify k into k 1.191 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.191 * [taylor]: Taking taylor expansion of 1 in n 1.191 * [backup-simplify]: Simplify 1 into 1 1.191 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.191 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.191 * [taylor]: Taking taylor expansion of -2 in n 1.191 * [backup-simplify]: Simplify -2 into -2 1.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.191 * [taylor]: Taking taylor expansion of PI in n 1.191 * [backup-simplify]: Simplify PI into PI 1.191 * [taylor]: Taking taylor expansion of n in n 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (/ PI 1) into PI 1.192 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.193 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.193 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.193 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.195 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.196 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.197 * [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))))) 1.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.197 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.197 * [taylor]: Taking taylor expansion of -1 in n 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [taylor]: Taking taylor expansion of k in n 1.197 * [backup-simplify]: Simplify k into k 1.197 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.197 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.197 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.199 * [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))) 1.199 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.199 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.199 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.199 * [taylor]: Taking taylor expansion of 1/2 in k 1.199 * [backup-simplify]: Simplify 1/2 into 1/2 1.199 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.199 * [taylor]: Taking taylor expansion of k in k 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (/ 1 1) into 1 1.200 * [taylor]: Taking taylor expansion of 1 in k 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.200 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.200 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.200 * [taylor]: Taking taylor expansion of -2 in k 1.200 * [backup-simplify]: Simplify -2 into -2 1.200 * [taylor]: Taking taylor expansion of PI in k 1.200 * [backup-simplify]: Simplify PI into PI 1.200 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.201 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.201 * [taylor]: Taking taylor expansion of (log n) in k 1.201 * [taylor]: Taking taylor expansion of n in k 1.201 * [backup-simplify]: Simplify n into n 1.201 * [backup-simplify]: Simplify (log n) into (log n) 1.202 * [backup-simplify]: Simplify (+ 1 0) into 1 1.202 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.203 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.204 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.206 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.207 * [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))))) 1.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.207 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.207 * [taylor]: Taking taylor expansion of -1 in k 1.207 * [backup-simplify]: Simplify -1 into -1 1.207 * [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 1.208 * [backup-simplify]: Simplify (sqrt 0) into 0 1.209 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.210 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.212 * [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)))))) 1.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.216 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.218 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.218 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.218 * [taylor]: Taking taylor expansion of 0 in k 1.218 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.221 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.222 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.223 * [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))))))) 1.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.228 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.230 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.230 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.231 * [taylor]: Taking taylor expansion of 0 in k 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.236 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.237 * [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))))))) 1.239 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.240 * * * [progress]: simplifying candidates 1.240 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.240 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.240 * * [simplify]: iters left: 6 (13 enodes) 1.250 * * [simplify]: iters left: 5 (54 enodes) 1.259 * * [simplify]: iters left: 4 (97 enodes) 1.278 * * [simplify]: iters left: 3 (242 enodes) 1.381 * * [simplify]: Extracting #0: cost 1 inf + 0 1.381 * * [simplify]: Extracting #1: cost 28 inf + 0 1.381 * * [simplify]: Extracting #2: cost 93 inf + 2 1.382 * * [simplify]: Extracting #3: cost 139 inf + 75 1.383 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.387 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.393 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.402 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.403 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.403 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.403 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.403 * * [simplify]: iters left: 6 (12 enodes) 1.408 * * [simplify]: iters left: 5 (52 enodes) 1.416 * * [simplify]: iters left: 4 (90 enodes) 1.432 * * [simplify]: iters left: 3 (201 enodes) 1.501 * * [simplify]: iters left: 2 (496 enodes) 1.746 * * [simplify]: Extracting #0: cost 1 inf + 0 1.746 * * [simplify]: Extracting #1: cost 22 inf + 0 1.747 * * [simplify]: Extracting #2: cost 122 inf + 2 1.749 * * [simplify]: Extracting #3: cost 296 inf + 186 1.751 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.760 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.777 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.802 * * [simplify]: Extracting #7: cost 0 inf + 82436 1.818 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.819 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.819 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.819 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.819 * * [simplify]: iters left: 6 (11 enodes) 1.824 * * [simplify]: iters left: 5 (51 enodes) 1.840 * * [simplify]: iters left: 4 (97 enodes) 1.873 * * [simplify]: iters left: 3 (197 enodes) 1.956 * * [simplify]: iters left: 2 (491 enodes) 2.295 * * [simplify]: Extracting #0: cost 1 inf + 0 2.295 * * [simplify]: Extracting #1: cost 27 inf + 0 2.296 * * [simplify]: Extracting #2: cost 139 inf + 2 2.298 * * [simplify]: Extracting #3: cost 300 inf + 382 2.302 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.320 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.352 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.380 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.400 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.400 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.400 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.400 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.400 * [simplify]: Simplifying (* n (* 2 PI)) 2.401 * * [simplify]: iters left: 4 (5 enodes) 2.403 * * [simplify]: iters left: 3 (19 enodes) 2.409 * * [simplify]: iters left: 2 (27 enodes) 2.416 * * [simplify]: iters left: 1 (32 enodes) 2.424 * * [simplify]: Extracting #0: cost 1 inf + 0 2.424 * * [simplify]: Extracting #1: cost 8 inf + 0 2.424 * * [simplify]: Extracting #2: cost 7 inf + 45 2.424 * * [simplify]: Extracting #3: cost 0 inf + 421 2.425 * [simplify]: Simplified to (* (* PI 2) n) 2.425 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.425 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.425 * [simplify]: Simplifying (* n (* 2 PI)) 2.425 * * [simplify]: iters left: 4 (5 enodes) 2.428 * * [simplify]: iters left: 3 (19 enodes) 2.434 * * [simplify]: iters left: 2 (27 enodes) 2.442 * * [simplify]: iters left: 1 (32 enodes) 2.450 * * [simplify]: Extracting #0: cost 1 inf + 0 2.450 * * [simplify]: Extracting #1: cost 8 inf + 0 2.450 * * [simplify]: Extracting #2: cost 7 inf + 45 2.450 * * [simplify]: Extracting #3: cost 0 inf + 421 2.450 * [simplify]: Simplified to (* (* PI 2) n) 2.450 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.451 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.451 * [simplify]: Simplifying (* n (* 2 PI)) 2.451 * * [simplify]: iters left: 4 (5 enodes) 2.454 * * [simplify]: iters left: 3 (19 enodes) 2.459 * * [simplify]: iters left: 2 (27 enodes) 2.469 * * [simplify]: iters left: 1 (32 enodes) 2.476 * * [simplify]: Extracting #0: cost 1 inf + 0 2.477 * * [simplify]: Extracting #1: cost 8 inf + 0 2.477 * * [simplify]: Extracting #2: cost 7 inf + 45 2.477 * * [simplify]: Extracting #3: cost 0 inf + 421 2.478 * [simplify]: Simplified to (* (* PI 2) n) 2.478 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.478 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.478 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.478 * * [simplify]: iters left: 5 (8 enodes) 2.483 * * [simplify]: iters left: 4 (31 enodes) 2.492 * * [simplify]: iters left: 3 (51 enodes) 2.501 * * [simplify]: iters left: 2 (85 enodes) 2.516 * * [simplify]: iters left: 1 (152 enodes) 2.549 * * [simplify]: Extracting #0: cost 1 inf + 0 2.549 * * [simplify]: Extracting #1: cost 13 inf + 0 2.549 * * [simplify]: Extracting #2: cost 59 inf + 1 2.549 * * [simplify]: Extracting #3: cost 76 inf + 9 2.550 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.551 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.556 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.559 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.562 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.562 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.562 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.562 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.562 * * [simplify]: iters left: 5 (6 enodes) 2.564 * * [simplify]: iters left: 4 (26 enodes) 2.572 * * [simplify]: iters left: 3 (35 enodes) 2.582 * * [simplify]: Extracting #0: cost 1 inf + 0 2.582 * * [simplify]: Extracting #1: cost 3 inf + 0 2.582 * * [simplify]: Extracting #2: cost 8 inf + 0 2.582 * * [simplify]: Extracting #3: cost 11 inf + 2 2.582 * * [simplify]: Extracting #4: cost 8 inf + 87 2.582 * * [simplify]: Extracting #5: cost 2 inf + 500 2.583 * * [simplify]: Extracting #6: cost 0 inf + 746 2.583 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.583 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 2.583 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.584 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.584 * * [simplify]: iters left: 5 (6 enodes) 2.588 * * [simplify]: iters left: 4 (26 enodes) 2.596 * * [simplify]: iters left: 3 (35 enodes) 2.606 * * [simplify]: Extracting #0: cost 1 inf + 0 2.606 * * [simplify]: Extracting #1: cost 3 inf + 0 2.606 * * [simplify]: Extracting #2: cost 8 inf + 0 2.606 * * [simplify]: Extracting #3: cost 11 inf + 2 2.607 * * [simplify]: Extracting #4: cost 8 inf + 87 2.607 * * [simplify]: Extracting #5: cost 2 inf + 460 2.607 * * [simplify]: Extracting #6: cost 0 inf + 666 2.607 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.608 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.608 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.608 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.608 * * [simplify]: iters left: 5 (7 enodes) 2.612 * * [simplify]: iters left: 4 (25 enodes) 2.620 * * [simplify]: iters left: 3 (30 enodes) 2.630 * * [simplify]: Extracting #0: cost 1 inf + 0 2.630 * * [simplify]: Extracting #1: cost 4 inf + 0 2.630 * * [simplify]: Extracting #2: cost 8 inf + 0 2.630 * * [simplify]: Extracting #3: cost 10 inf + 82 2.630 * * [simplify]: Extracting #4: cost 7 inf + 206 2.630 * * [simplify]: Extracting #5: cost 2 inf + 575 2.631 * * [simplify]: Extracting #6: cost 1 inf + 818 2.631 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.631 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.631 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.632 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.632 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.632 * * [simplify]: iters left: 5 (7 enodes) 2.636 * * [simplify]: iters left: 4 (25 enodes) 2.644 * * [simplify]: iters left: 3 (30 enodes) 2.653 * * [simplify]: Extracting #0: cost 1 inf + 0 2.653 * * [simplify]: Extracting #1: cost 4 inf + 0 2.653 * * [simplify]: Extracting #2: cost 8 inf + 0 2.654 * * [simplify]: Extracting #3: cost 10 inf + 42 2.654 * * [simplify]: Extracting #4: cost 7 inf + 126 2.654 * * [simplify]: Extracting #5: cost 2 inf + 495 2.654 * * [simplify]: Extracting #6: cost 1 inf + 698 2.654 * * [simplify]: Extracting #7: cost 0 inf + 901 2.655 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.655 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.655 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.655 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.655 * * [simplify]: iters left: 5 (6 enodes) 2.658 * * [simplify]: iters left: 4 (22 enodes) 2.662 * * [simplify]: iters left: 3 (27 enodes) 2.666 * * [simplify]: Extracting #0: cost 1 inf + 0 2.666 * * [simplify]: Extracting #1: cost 4 inf + 0 2.666 * * [simplify]: Extracting #2: cost 5 inf + 1 2.666 * * [simplify]: Extracting #3: cost 9 inf + 1 2.666 * * [simplify]: Extracting #4: cost 8 inf + 3 2.666 * * [simplify]: Extracting #5: cost 4 inf + 169 2.667 * * [simplify]: Extracting #6: cost 1 inf + 576 2.667 * * [simplify]: Extracting #7: cost 0 inf + 739 2.667 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.667 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.667 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.667 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.667 * * [simplify]: iters left: 5 (7 enodes) 2.669 * * [simplify]: iters left: 4 (25 enodes) 2.674 * * [simplify]: iters left: 3 (30 enodes) 2.679 * * [simplify]: Extracting #0: cost 1 inf + 0 2.679 * * [simplify]: Extracting #1: cost 4 inf + 0 2.679 * * [simplify]: Extracting #2: cost 8 inf + 0 2.679 * * [simplify]: Extracting #3: cost 10 inf + 82 2.679 * * [simplify]: Extracting #4: cost 7 inf + 206 2.679 * * [simplify]: Extracting #5: cost 2 inf + 495 2.679 * * [simplify]: Extracting #6: cost 1 inf + 698 2.680 * * [simplify]: Extracting #7: cost 0 inf + 901 2.680 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.680 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.680 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.680 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.680 * * [simplify]: iters left: 5 (7 enodes) 2.684 * * [simplify]: iters left: 4 (25 enodes) 2.688 * * [simplify]: iters left: 3 (30 enodes) 2.696 * * [simplify]: Extracting #0: cost 1 inf + 0 2.696 * * [simplify]: Extracting #1: cost 4 inf + 0 2.696 * * [simplify]: Extracting #2: cost 8 inf + 0 2.696 * * [simplify]: Extracting #3: cost 10 inf + 42 2.697 * * [simplify]: Extracting #4: cost 7 inf + 126 2.697 * * [simplify]: Extracting #5: cost 2 inf + 415 2.697 * * [simplify]: Extracting #6: cost 1 inf + 578 2.697 * * [simplify]: Extracting #7: cost 0 inf + 741 2.698 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.698 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.698 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.698 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.698 * * [simplify]: iters left: 5 (6 enodes) 2.702 * * [simplify]: iters left: 4 (22 enodes) 2.709 * * [simplify]: iters left: 3 (27 enodes) 2.717 * * [simplify]: Extracting #0: cost 1 inf + 0 2.717 * * [simplify]: Extracting #1: cost 4 inf + 0 2.717 * * [simplify]: Extracting #2: cost 5 inf + 1 2.717 * * [simplify]: Extracting #3: cost 9 inf + 1 2.717 * * [simplify]: Extracting #4: cost 8 inf + 3 2.717 * * [simplify]: Extracting #5: cost 4 inf + 169 2.718 * * [simplify]: Extracting #6: cost 1 inf + 456 2.718 * * [simplify]: Extracting #7: cost 0 inf + 579 2.718 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.718 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.718 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.719 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.719 * * [simplify]: iters left: 4 (6 enodes) 2.722 * * [simplify]: iters left: 3 (25 enodes) 2.726 * * [simplify]: iters left: 2 (36 enodes) 2.732 * * [simplify]: iters left: 1 (40 enodes) 2.738 * * [simplify]: Extracting #0: cost 1 inf + 0 2.738 * * [simplify]: Extracting #1: cost 7 inf + 0 2.738 * * [simplify]: Extracting #2: cost 16 inf + 0 2.738 * * [simplify]: Extracting #3: cost 13 inf + 44 2.738 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.739 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.739 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.739 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.739 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.739 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.739 * * [simplify]: iters left: 4 (6 enodes) 2.741 * * [simplify]: iters left: 3 (25 enodes) 2.745 * * [simplify]: iters left: 2 (36 enodes) 2.752 * * [simplify]: iters left: 1 (40 enodes) 2.764 * * [simplify]: Extracting #0: cost 1 inf + 0 2.764 * * [simplify]: Extracting #1: cost 7 inf + 0 2.764 * * [simplify]: Extracting #2: cost 16 inf + 0 2.764 * * [simplify]: Extracting #3: cost 13 inf + 44 2.764 * * [simplify]: Extracting #4: cost 3 inf + 823 2.765 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.765 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.765 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.766 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.766 * [simplify]: Simplifying (/ (- 1 k) 2) 2.766 * * [simplify]: iters left: 4 (5 enodes) 2.770 * * [simplify]: iters left: 3 (23 enodes) 2.777 * * [simplify]: iters left: 2 (32 enodes) 2.787 * * [simplify]: Extracting #0: cost 1 inf + 0 2.787 * * [simplify]: Extracting #1: cost 6 inf + 0 2.787 * * [simplify]: Extracting #2: cost 9 inf + 2 2.787 * * [simplify]: Extracting #3: cost 6 inf + 87 2.787 * * [simplify]: Extracting #4: cost 0 inf + 420 2.788 * [simplify]: Simplified to (/ (- 1 k) 2) 2.788 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.788 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.788 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.788 * * [simplify]: iters left: 5 (8 enodes) 2.793 * * [simplify]: iters left: 4 (31 enodes) 2.806 * * [simplify]: iters left: 3 (45 enodes) 2.819 * * [simplify]: iters left: 2 (51 enodes) 2.826 * * [simplify]: iters left: 1 (52 enodes) 2.833 * * [simplify]: Extracting #0: cost 1 inf + 0 2.833 * * [simplify]: Extracting #1: cost 8 inf + 0 2.833 * * [simplify]: Extracting #2: cost 18 inf + 0 2.833 * * [simplify]: Extracting #3: cost 19 inf + 2 2.833 * * [simplify]: Extracting #4: cost 9 inf + 977 2.834 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.834 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.834 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.834 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.835 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.835 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.835 * * [simplify]: iters left: 5 (8 enodes) 2.837 * * [simplify]: iters left: 4 (31 enodes) 2.842 * * [simplify]: iters left: 3 (45 enodes) 2.849 * * [simplify]: iters left: 2 (51 enodes) 2.856 * * [simplify]: iters left: 1 (52 enodes) 2.863 * * [simplify]: Extracting #0: cost 1 inf + 0 2.863 * * [simplify]: Extracting #1: cost 8 inf + 0 2.863 * * [simplify]: Extracting #2: cost 18 inf + 0 2.863 * * [simplify]: Extracting #3: cost 19 inf + 2 2.863 * * [simplify]: Extracting #4: cost 9 inf + 697 2.863 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.864 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.864 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.864 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.864 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.864 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.864 * * [simplify]: iters left: 5 (7 enodes) 2.867 * * [simplify]: iters left: 4 (29 enodes) 2.872 * * [simplify]: iters left: 3 (43 enodes) 2.878 * * [simplify]: iters left: 2 (47 enodes) 2.884 * * [simplify]: Extracting #0: cost 1 inf + 0 2.884 * * [simplify]: Extracting #1: cost 7 inf + 0 2.884 * * [simplify]: Extracting #2: cost 11 inf + 2 2.884 * * [simplify]: Extracting #3: cost 13 inf + 3 2.884 * * [simplify]: Extracting #4: cost 11 inf + 45 2.884 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.884 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.884 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.885 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.885 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.885 * * [simplify]: iters left: 5 (7 enodes) 2.887 * * [simplify]: iters left: 4 (28 enodes) 2.893 * * [simplify]: iters left: 3 (39 enodes) 2.905 * * [simplify]: iters left: 2 (43 enodes) 2.917 * * [simplify]: Extracting #0: cost 1 inf + 0 2.917 * * [simplify]: Extracting #1: cost 7 inf + 0 2.917 * * [simplify]: Extracting #2: cost 16 inf + 0 2.917 * * [simplify]: Extracting #3: cost 15 inf + 164 2.917 * * [simplify]: Extracting #4: cost 13 inf + 287 2.917 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.918 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.919 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.919 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.919 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.919 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.919 * * [simplify]: iters left: 5 (7 enodes) 2.923 * * [simplify]: iters left: 4 (28 enodes) 2.928 * * [simplify]: iters left: 3 (39 enodes) 2.934 * * [simplify]: iters left: 2 (43 enodes) 2.940 * * [simplify]: Extracting #0: cost 1 inf + 0 2.940 * * [simplify]: Extracting #1: cost 7 inf + 0 2.940 * * [simplify]: Extracting #2: cost 16 inf + 0 2.941 * * [simplify]: Extracting #3: cost 15 inf + 84 2.941 * * [simplify]: Extracting #4: cost 13 inf + 167 2.941 * * [simplify]: Extracting #5: cost 5 inf + 900 2.941 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.941 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.941 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.941 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.942 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.942 * * [simplify]: iters left: 5 (6 enodes) 2.944 * * [simplify]: iters left: 4 (26 enodes) 2.948 * * [simplify]: iters left: 3 (35 enodes) 2.955 * * [simplify]: Extracting #0: cost 1 inf + 0 2.955 * * [simplify]: Extracting #1: cost 6 inf + 0 2.955 * * [simplify]: Extracting #2: cost 9 inf + 2 2.955 * * [simplify]: Extracting #3: cost 11 inf + 3 2.955 * * [simplify]: Extracting #4: cost 10 inf + 4 2.955 * * [simplify]: Extracting #5: cost 3 inf + 535 2.955 * * [simplify]: Extracting #6: cost 0 inf + 822 2.956 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.956 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.956 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.956 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.956 * * [simplify]: iters left: 4 (6 enodes) 2.960 * * [simplify]: iters left: 3 (25 enodes) 2.968 * * [simplify]: iters left: 2 (36 enodes) 2.979 * * [simplify]: iters left: 1 (40 enodes) 2.991 * * [simplify]: Extracting #0: cost 1 inf + 0 2.991 * * [simplify]: Extracting #1: cost 7 inf + 0 2.991 * * [simplify]: Extracting #2: cost 16 inf + 0 2.991 * * [simplify]: Extracting #3: cost 13 inf + 44 2.991 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.992 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.992 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.992 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.993 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.993 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.993 * * [simplify]: iters left: 4 (6 enodes) 2.997 * * [simplify]: iters left: 3 (25 enodes) 3.005 * * [simplify]: iters left: 2 (36 enodes) 3.016 * * [simplify]: iters left: 1 (40 enodes) 3.030 * * [simplify]: Extracting #0: cost 1 inf + 0 3.031 * * [simplify]: Extracting #1: cost 7 inf + 0 3.031 * * [simplify]: Extracting #2: cost 16 inf + 0 3.031 * * [simplify]: Extracting #3: cost 13 inf + 44 3.031 * * [simplify]: Extracting #4: cost 3 inf + 823 3.032 * * [simplify]: Extracting #5: cost 0 inf + 1069 3.032 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 3.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 3.032 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 3.033 * [simplify]: Simplifying (/ (- 1 k) 2) 3.033 * * [simplify]: iters left: 4 (5 enodes) 3.036 * * [simplify]: iters left: 3 (23 enodes) 3.044 * * [simplify]: iters left: 2 (32 enodes) 3.054 * * [simplify]: Extracting #0: cost 1 inf + 0 3.054 * * [simplify]: Extracting #1: cost 6 inf + 0 3.054 * * [simplify]: Extracting #2: cost 9 inf + 2 3.054 * * [simplify]: Extracting #3: cost 6 inf + 87 3.054 * * [simplify]: Extracting #4: cost 0 inf + 420 3.054 * [simplify]: Simplified to (/ (- 1 k) 2) 3.054 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 3.054 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.054 * [simplify]: Simplifying (/ (- 1 k) 2) 3.055 * * [simplify]: iters left: 4 (5 enodes) 3.057 * * [simplify]: iters left: 3 (23 enodes) 3.061 * * [simplify]: iters left: 2 (32 enodes) 3.066 * * [simplify]: Extracting #0: cost 1 inf + 0 3.066 * * [simplify]: Extracting #1: cost 6 inf + 0 3.066 * * [simplify]: Extracting #2: cost 9 inf + 2 3.066 * * [simplify]: Extracting #3: cost 6 inf + 87 3.066 * * [simplify]: Extracting #4: cost 0 inf + 420 3.066 * [simplify]: Simplified to (/ (- 1 k) 2) 3.066 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 3.066 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.067 * [simplify]: Simplifying (/ 1 2) 3.067 * * [simplify]: iters left: 2 (3 enodes) 3.068 * * [simplify]: iters left: 1 (12 enodes) 3.070 * * [simplify]: Extracting #0: cost 1 inf + 0 3.070 * * [simplify]: Extracting #1: cost 0 inf + 1 3.071 * [simplify]: Simplified to 1/2 3.071 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 3.071 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.071 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 3.071 * * [simplify]: iters left: 5 (7 enodes) 3.073 * * [simplify]: iters left: 4 (32 enodes) 3.079 * * [simplify]: iters left: 3 (57 enodes) 3.089 * * [simplify]: iters left: 2 (88 enodes) 3.106 * * [simplify]: iters left: 1 (156 enodes) 3.172 * * [simplify]: Extracting #0: cost 1 inf + 0 3.172 * * [simplify]: Extracting #1: cost 13 inf + 0 3.172 * * [simplify]: Extracting #2: cost 49 inf + 2 3.173 * * [simplify]: Extracting #3: cost 80 inf + 6 3.174 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.177 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.180 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.183 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.186 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.189 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.189 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.189 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.189 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.189 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.190 * [simplify]: Simplifying (* n (* 2 PI)) 3.190 * * [simplify]: iters left: 4 (5 enodes) 3.191 * * [simplify]: iters left: 3 (19 enodes) 3.194 * * [simplify]: iters left: 2 (27 enodes) 3.199 * * [simplify]: iters left: 1 (32 enodes) 3.203 * * [simplify]: Extracting #0: cost 1 inf + 0 3.203 * * [simplify]: Extracting #1: cost 8 inf + 0 3.203 * * [simplify]: Extracting #2: cost 7 inf + 45 3.203 * * [simplify]: Extracting #3: cost 0 inf + 421 3.203 * [simplify]: Simplified to (* (* PI 2) n) 3.203 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.203 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.204 * [simplify]: Simplifying (* n (* 2 PI)) 3.204 * * [simplify]: iters left: 4 (5 enodes) 3.205 * * [simplify]: iters left: 3 (19 enodes) 3.208 * * [simplify]: iters left: 2 (27 enodes) 3.214 * * [simplify]: iters left: 1 (32 enodes) 3.220 * * [simplify]: Extracting #0: cost 1 inf + 0 3.220 * * [simplify]: Extracting #1: cost 8 inf + 0 3.220 * * [simplify]: Extracting #2: cost 7 inf + 45 3.220 * * [simplify]: Extracting #3: cost 0 inf + 421 3.220 * [simplify]: Simplified to (* (* PI 2) n) 3.220 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.220 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.220 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.220 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 3.220 * * [simplify]: iters left: 5 (8 enodes) 3.223 * * [simplify]: iters left: 4 (28 enodes) 3.227 * * [simplify]: iters left: 3 (36 enodes) 3.232 * * [simplify]: iters left: 2 (42 enodes) 3.241 * * [simplify]: Extracting #0: cost 1 inf + 0 3.241 * * [simplify]: Extracting #1: cost 8 inf + 0 3.241 * * [simplify]: Extracting #2: cost 17 inf + 0 3.241 * * [simplify]: Extracting #3: cost 12 inf + 145 3.242 * * [simplify]: Extracting #4: cost 5 inf + 1197 3.242 * * [simplify]: Extracting #5: cost 1 inf + 1925 3.243 * * [simplify]: Extracting #6: cost 0 inf + 2107 3.244 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 3.244 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.244 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.244 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 3.244 * * [simplify]: iters left: 5 (7 enodes) 3.248 * * [simplify]: iters left: 4 (26 enodes) 3.256 * * [simplify]: iters left: 3 (35 enodes) 3.266 * * [simplify]: iters left: 2 (44 enodes) 3.278 * * [simplify]: Extracting #0: cost 1 inf + 0 3.278 * * [simplify]: Extracting #1: cost 8 inf + 0 3.278 * * [simplify]: Extracting #2: cost 18 inf + 0 3.278 * * [simplify]: Extracting #3: cost 15 inf + 74 3.278 * * [simplify]: Extracting #4: cost 8 inf + 554 3.279 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.279 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 3.279 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.279 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.280 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.280 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.280 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 3.280 * * [simplify]: iters left: 6 (11 enodes) 3.288 * * [simplify]: iters left: 5 (48 enodes) 3.306 * * [simplify]: iters left: 4 (121 enodes) 3.347 * * [simplify]: iters left: 3 (348 enodes) 3.529 * * [simplify]: Extracting #0: cost 1 inf + 0 3.529 * * [simplify]: Extracting #1: cost 67 inf + 0 3.531 * * [simplify]: Extracting #2: cost 165 inf + 786 3.536 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.548 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.557 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.564 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.573 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.573 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.573 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.574 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.574 * * [simplify]: iters left: 6 (9 enodes) 3.577 * * [simplify]: iters left: 5 (45 enodes) 3.589 * * [simplify]: iters left: 4 (117 enodes) 3.652 * * [simplify]: iters left: 3 (374 enodes) 3.968 * * [simplify]: Extracting #0: cost 1 inf + 0 3.968 * * [simplify]: Extracting #1: cost 77 inf + 0 3.969 * * [simplify]: Extracting #2: cost 184 inf + 984 3.973 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.989 * * [simplify]: Extracting #4: cost 6 inf + 30376 4.003 * * [simplify]: Extracting #5: cost 0 inf + 31644 4.016 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 4.016 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 4.016 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 4.016 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 4.016 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 4.016 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 4.016 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 4.016 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 4.017 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 4.017 * * [simplify]: iters left: 3 (3 enodes) 4.017 * * [simplify]: iters left: 2 (9 enodes) 4.019 * * [simplify]: Extracting #0: cost 1 inf + 0 4.019 * * [simplify]: Extracting #1: cost 3 inf + 0 4.019 * * [simplify]: Extracting #2: cost 5 inf + 0 4.019 * * [simplify]: Extracting #3: cost 4 inf + 1 4.019 * * [simplify]: Extracting #4: cost 0 inf + 405 4.019 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 4.019 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.019 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 4.019 * [simplify]: Simplifying (sqrt n) 4.019 * * [simplify]: iters left: 1 (2 enodes) 4.020 * * [simplify]: Extracting #0: cost 1 inf + 0 4.020 * * [simplify]: Extracting #1: cost 3 inf + 0 4.020 * * [simplify]: Extracting #2: cost 2 inf + 1 4.020 * * [simplify]: Extracting #3: cost 0 inf + 83 4.020 * [simplify]: Simplified to (sqrt n) 4.020 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.020 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 4.020 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 4.020 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 4.020 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 4.020 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 4.020 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.020 * * [simplify]: iters left: 6 (16 enodes) 4.025 * * [simplify]: iters left: 5 (65 enodes) 4.035 * * [simplify]: iters left: 4 (111 enodes) 4.068 * * [simplify]: iters left: 3 (294 enodes) 4.172 * * [simplify]: Extracting #0: cost 1 inf + 0 4.172 * * [simplify]: Extracting #1: cost 32 inf + 0 4.173 * * [simplify]: Extracting #2: cost 82 inf + 0 4.174 * * [simplify]: Extracting #3: cost 145 inf + 73 4.175 * * [simplify]: Extracting #4: cost 158 inf + 1797 4.182 * * [simplify]: Extracting #5: cost 56 inf + 27690 4.193 * * [simplify]: Extracting #6: cost 4 inf + 45043 4.202 * * [simplify]: Extracting #7: cost 0 inf + 46559 4.211 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.211 * [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))))) 4.211 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.211 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.211 * * [simplify]: iters left: 6 (15 enodes) 4.215 * * [simplify]: iters left: 5 (63 enodes) 4.233 * * [simplify]: iters left: 4 (104 enodes) 4.271 * * [simplify]: iters left: 3 (238 enodes) 4.360 * * [simplify]: Extracting #0: cost 1 inf + 0 4.360 * * [simplify]: Extracting #1: cost 30 inf + 0 4.361 * * [simplify]: Extracting #2: cost 78 inf + 0 4.361 * * [simplify]: Extracting #3: cost 131 inf + 73 4.362 * * [simplify]: Extracting #4: cost 147 inf + 821 4.367 * * [simplify]: Extracting #5: cost 71 inf + 15644 4.376 * * [simplify]: Extracting #6: cost 4 inf + 36895 4.384 * * [simplify]: Extracting #7: cost 0 inf + 38761 4.394 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.394 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.394 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.394 * * [simplify]: iters left: 6 (14 enodes) 4.398 * * [simplify]: iters left: 5 (62 enodes) 4.411 * * [simplify]: iters left: 4 (111 enodes) 4.444 * * [simplify]: iters left: 3 (223 enodes) 4.510 * * [simplify]: Extracting #0: cost 1 inf + 0 4.510 * * [simplify]: Extracting #1: cost 19 inf + 0 4.510 * * [simplify]: Extracting #2: cost 67 inf + 0 4.510 * * [simplify]: Extracting #3: cost 123 inf + 2 4.511 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.515 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.522 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.528 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.528 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.529 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.529 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.529 * * [simplify]: iters left: 6 (14 enodes) 4.533 * * [simplify]: iters left: 5 (62 enodes) 4.552 * * [simplify]: iters left: 4 (111 enodes) 4.589 * * [simplify]: iters left: 3 (223 enodes) 4.666 * * [simplify]: Extracting #0: cost 1 inf + 0 4.666 * * [simplify]: Extracting #1: cost 19 inf + 0 4.666 * * [simplify]: Extracting #2: cost 67 inf + 0 4.666 * * [simplify]: Extracting #3: cost 123 inf + 2 4.667 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.671 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.681 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.696 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.697 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.697 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.697 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.697 * * [simplify]: iters left: 6 (14 enodes) 4.705 * * [simplify]: iters left: 5 (61 enodes) 4.720 * * [simplify]: iters left: 4 (111 enodes) 4.738 * * [simplify]: iters left: 3 (218 enodes) 4.802 * * [simplify]: Extracting #0: cost 1 inf + 0 4.802 * * [simplify]: Extracting #1: cost 20 inf + 0 4.802 * * [simplify]: Extracting #2: cost 94 inf + 0 4.802 * * [simplify]: Extracting #3: cost 167 inf + 2 4.803 * * [simplify]: Extracting #4: cost 164 inf + 1228 4.806 * * [simplify]: Extracting #5: cost 76 inf + 17725 4.811 * * [simplify]: Extracting #6: cost 9 inf + 35809 4.818 * * [simplify]: Extracting #7: cost 0 inf + 40227 4.825 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 4.825 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 4.825 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 4.825 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 4.825 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 4.825 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.826 * * [simplify]: iters left: 6 (16 enodes) 4.831 * * [simplify]: iters left: 5 (72 enodes) 4.852 * * [simplify]: iters left: 4 (165 enodes) 4.909 * * [simplify]: iters left: 3 (474 enodes) 5.224 * * [simplify]: Extracting #0: cost 1 inf + 0 5.225 * * [simplify]: Extracting #1: cost 172 inf + 0 5.226 * * [simplify]: Extracting #2: cost 449 inf + 1 5.228 * * [simplify]: Extracting #3: cost 500 inf + 248 5.231 * * [simplify]: Extracting #4: cost 476 inf + 4785 5.245 * * [simplify]: Extracting #5: cost 302 inf + 101232 5.294 * * [simplify]: Extracting #6: cost 26 inf + 307299 5.386 * * [simplify]: Extracting #7: cost 0 inf + 323493 5.440 * * [simplify]: Extracting #8: cost 0 inf + 323103 5.505 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.505 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.505 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.505 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.505 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.505 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.505 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.505 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.505 * * [simplify]: iters left: 6 (11 enodes) 5.512 * * [simplify]: iters left: 5 (46 enodes) 5.528 * * [simplify]: iters left: 4 (79 enodes) 5.556 * * [simplify]: iters left: 3 (135 enodes) 5.603 * * [simplify]: iters left: 2 (270 enodes) 5.719 * * [simplify]: Extracting #0: cost 1 inf + 0 5.719 * * [simplify]: Extracting #1: cost 56 inf + 0 5.720 * * [simplify]: Extracting #2: cost 151 inf + 0 5.720 * * [simplify]: Extracting #3: cost 211 inf + 3 5.722 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.727 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.735 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.753 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.780 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.806 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.833 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.833 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.833 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.833 * * [simplify]: iters left: 6 (11 enodes) 5.839 * * [simplify]: iters left: 5 (45 enodes) 5.847 * * [simplify]: iters left: 4 (68 enodes) 5.860 * * [simplify]: iters left: 3 (110 enodes) 5.894 * * [simplify]: iters left: 2 (217 enodes) 5.956 * * [simplify]: iters left: 1 (456 enodes) 6.194 * * [simplify]: Extracting #0: cost 1 inf + 0 6.194 * * [simplify]: Extracting #1: cost 44 inf + 0 6.195 * * [simplify]: Extracting #2: cost 133 inf + 0 6.196 * * [simplify]: Extracting #3: cost 211 inf + 3 6.198 * * [simplify]: Extracting #4: cost 209 inf + 1047 6.203 * * [simplify]: Extracting #5: cost 156 inf + 8593 6.218 * * [simplify]: Extracting #6: cost 83 inf + 43654 6.232 * * [simplify]: Extracting #7: cost 10 inf + 107740 6.255 * * [simplify]: Extracting #8: cost 0 inf + 116394 6.287 * * [simplify]: Extracting #9: cost 0 inf + 115425 6.305 * * [simplify]: Extracting #10: cost 0 inf + 114468 6.323 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.323 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 6.323 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 6.324 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.325 * * [simplify]: iters left: 6 (11 enodes) 6.328 * * [simplify]: iters left: 5 (45 enodes) 6.337 * * [simplify]: iters left: 4 (72 enodes) 6.355 * * [simplify]: iters left: 3 (113 enodes) 6.376 * * [simplify]: iters left: 2 (202 enodes) 6.435 * * [simplify]: iters left: 1 (423 enodes) 6.604 * * [simplify]: Extracting #0: cost 1 inf + 0 6.604 * * [simplify]: Extracting #1: cost 45 inf + 0 6.605 * * [simplify]: Extracting #2: cost 135 inf + 0 6.605 * * [simplify]: Extracting #3: cost 200 inf + 4 6.607 * * [simplify]: Extracting #4: cost 178 inf + 4405 6.612 * * [simplify]: Extracting #5: cost 89 inf + 41805 6.625 * * [simplify]: Extracting #6: cost 6 inf + 96015 6.656 * * [simplify]: Extracting #7: cost 0 inf + 93673 6.694 * * [simplify]: Extracting #8: cost 0 inf + 88687 6.732 * * [simplify]: Extracting #9: cost 0 inf + 87603 6.775 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.775 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.776 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.776 * * [simplify]: iters left: 6 (11 enodes) 6.782 * * [simplify]: iters left: 5 (45 enodes) 6.790 * * [simplify]: iters left: 4 (68 enodes) 6.802 * * [simplify]: iters left: 3 (110 enodes) 6.823 * * [simplify]: iters left: 2 (217 enodes) 6.877 * * [simplify]: iters left: 1 (456 enodes) 7.089 * * [simplify]: Extracting #0: cost 1 inf + 0 7.090 * * [simplify]: Extracting #1: cost 44 inf + 0 7.090 * * [simplify]: Extracting #2: cost 133 inf + 0 7.091 * * [simplify]: Extracting #3: cost 211 inf + 3 7.092 * * [simplify]: Extracting #4: cost 209 inf + 1127 7.094 * * [simplify]: Extracting #5: cost 156 inf + 8673 7.106 * * [simplify]: Extracting #6: cost 83 inf + 43734 7.134 * * [simplify]: Extracting #7: cost 10 inf + 107820 7.169 * * [simplify]: Extracting #8: cost 0 inf + 116474 7.208 * * [simplify]: Extracting #9: cost 0 inf + 115505 7.243 * * [simplify]: Extracting #10: cost 0 inf + 114548 7.277 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.277 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 7.277 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 7.278 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.278 * * [simplify]: iters left: 6 (10 enodes) 7.284 * * [simplify]: iters left: 5 (41 enodes) 7.297 * * [simplify]: iters left: 4 (68 enodes) 7.310 * * [simplify]: iters left: 3 (109 enodes) 7.332 * * [simplify]: iters left: 2 (194 enodes) 7.382 * * [simplify]: iters left: 1 (414 enodes) 7.551 * * [simplify]: Extracting #0: cost 1 inf + 0 7.551 * * [simplify]: Extracting #1: cost 45 inf + 0 7.552 * * [simplify]: Extracting #2: cost 141 inf + 0 7.554 * * [simplify]: Extracting #3: cost 206 inf + 4 7.557 * * [simplify]: Extracting #4: cost 178 inf + 9345 7.563 * * [simplify]: Extracting #5: cost 101 inf + 32669 7.579 * * [simplify]: Extracting #6: cost 15 inf + 90305 7.595 * * [simplify]: Extracting #7: cost 0 inf + 100314 7.624 * * [simplify]: Extracting #8: cost 0 inf + 100143 7.649 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.649 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.649 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.649 * * [simplify]: iters left: 6 (11 enodes) 7.653 * * [simplify]: iters left: 5 (45 enodes) 7.660 * * [simplify]: iters left: 4 (68 enodes) 7.671 * * [simplify]: iters left: 3 (110 enodes) 7.701 * * [simplify]: iters left: 2 (217 enodes) 7.771 * * [simplify]: iters left: 1 (456 enodes) 7.975 * * [simplify]: Extracting #0: cost 1 inf + 0 7.976 * * [simplify]: Extracting #1: cost 44 inf + 0 7.976 * * [simplify]: Extracting #2: cost 133 inf + 0 7.978 * * [simplify]: Extracting #3: cost 211 inf + 3 7.979 * * [simplify]: Extracting #4: cost 209 inf + 967 7.981 * * [simplify]: Extracting #5: cost 156 inf + 8433 7.987 * * [simplify]: Extracting #6: cost 83 inf + 42774 8.004 * * [simplify]: Extracting #7: cost 10 inf + 105380 8.021 * * [simplify]: Extracting #8: cost 0 inf + 113674 8.037 * * [simplify]: Extracting #9: cost 0 inf + 112705 8.056 * * [simplify]: Extracting #10: cost 0 inf + 111748 8.089 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.090 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 8.090 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 8.090 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.090 * * [simplify]: iters left: 6 (9 enodes) 8.098 * * [simplify]: iters left: 5 (38 enodes) 8.111 * * [simplify]: iters left: 4 (63 enodes) 8.122 * * [simplify]: iters left: 3 (100 enodes) 8.139 * * [simplify]: iters left: 2 (175 enodes) 8.181 * * [simplify]: iters left: 1 (360 enodes) 8.355 * * [simplify]: Extracting #0: cost 1 inf + 0 8.356 * * [simplify]: Extracting #1: cost 52 inf + 0 8.357 * * [simplify]: Extracting #2: cost 150 inf + 3 8.358 * * [simplify]: Extracting #3: cost 190 inf + 8 8.360 * * [simplify]: Extracting #4: cost 167 inf + 1999 8.371 * * [simplify]: Extracting #5: cost 109 inf + 14534 8.391 * * [simplify]: Extracting #6: cost 11 inf + 80954 8.418 * * [simplify]: Extracting #7: cost 0 inf + 87093 8.445 * * [simplify]: Extracting #8: cost 0 inf + 85003 8.471 * * [simplify]: Extracting #9: cost 0 inf + 84872 8.498 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.498 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.499 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.499 * * [simplify]: iters left: 6 (10 enodes) 8.505 * * [simplify]: iters left: 5 (42 enodes) 8.518 * * [simplify]: iters left: 4 (65 enodes) 8.543 * * [simplify]: iters left: 3 (104 enodes) 8.583 * * [simplify]: iters left: 2 (206 enodes) 8.639 * * [simplify]: iters left: 1 (433 enodes) 8.784 * * [simplify]: Extracting #0: cost 1 inf + 0 8.784 * * [simplify]: Extracting #1: cost 45 inf + 0 8.786 * * [simplify]: Extracting #2: cost 143 inf + 0 8.787 * * [simplify]: Extracting #3: cost 213 inf + 45 8.790 * * [simplify]: Extracting #4: cost 203 inf + 1718 8.797 * * [simplify]: Extracting #5: cost 130 inf + 20716 8.830 * * [simplify]: Extracting #6: cost 18 inf + 99664 8.874 * * [simplify]: Extracting #7: cost 0 inf + 106929 8.925 * * [simplify]: Extracting #8: cost 0 inf + 106247 8.974 * * [simplify]: Extracting #9: cost 0 inf + 105867 9.001 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.001 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.001 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 9.002 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.002 * * [simplify]: iters left: 6 (10 enodes) 9.008 * * [simplify]: iters left: 5 (41 enodes) 9.024 * * [simplify]: iters left: 4 (68 enodes) 9.047 * * [simplify]: iters left: 3 (109 enodes) 9.085 * * [simplify]: iters left: 2 (194 enodes) 9.138 * * [simplify]: iters left: 1 (414 enodes) 9.344 * * [simplify]: Extracting #0: cost 1 inf + 0 9.344 * * [simplify]: Extracting #1: cost 45 inf + 0 9.345 * * [simplify]: Extracting #2: cost 141 inf + 0 9.346 * * [simplify]: Extracting #3: cost 206 inf + 4 9.349 * * [simplify]: Extracting #4: cost 178 inf + 9345 9.360 * * [simplify]: Extracting #5: cost 101 inf + 32669 9.387 * * [simplify]: Extracting #6: cost 15 inf + 90305 9.412 * * [simplify]: Extracting #7: cost 0 inf + 100314 9.428 * * [simplify]: Extracting #8: cost 0 inf + 100143 9.458 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.458 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 9.459 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.459 * * [simplify]: iters left: 6 (11 enodes) 9.465 * * [simplify]: iters left: 5 (45 enodes) 9.483 * * [simplify]: iters left: 4 (68 enodes) 9.507 * * [simplify]: iters left: 3 (110 enodes) 9.548 * * [simplify]: iters left: 2 (217 enodes) 9.636 * * [simplify]: iters left: 1 (456 enodes) 9.835 * * [simplify]: Extracting #0: cost 1 inf + 0 9.835 * * [simplify]: Extracting #1: cost 44 inf + 0 9.836 * * [simplify]: Extracting #2: cost 133 inf + 0 9.838 * * [simplify]: Extracting #3: cost 211 inf + 3 9.840 * * [simplify]: Extracting #4: cost 209 inf + 967 9.845 * * [simplify]: Extracting #5: cost 156 inf + 8433 9.857 * * [simplify]: Extracting #6: cost 83 inf + 42774 9.886 * * [simplify]: Extracting #7: cost 10 inf + 105380 9.904 * * [simplify]: Extracting #8: cost 0 inf + 113674 9.921 * * [simplify]: Extracting #9: cost 0 inf + 112705 9.944 * * [simplify]: Extracting #10: cost 0 inf + 111748 9.978 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 9.978 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 9.979 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.979 * * [simplify]: iters left: 6 (8 enodes) 9.984 * * [simplify]: iters left: 5 (33 enodes) 9.994 * * [simplify]: iters left: 4 (56 enodes) 10.004 * * [simplify]: iters left: 3 (98 enodes) 10.026 * * [simplify]: iters left: 2 (203 enodes) 10.085 * * [simplify]: iters left: 1 (441 enodes) 10.287 * * [simplify]: Extracting #0: cost 1 inf + 0 10.287 * * [simplify]: Extracting #1: cost 49 inf + 0 10.288 * * [simplify]: Extracting #2: cost 157 inf + 3 10.289 * * [simplify]: Extracting #3: cost 212 inf + 8 10.290 * * [simplify]: Extracting #4: cost 198 inf + 1133 10.292 * * [simplify]: Extracting #5: cost 127 inf + 13703 10.304 * * [simplify]: Extracting #6: cost 35 inf + 74586 10.322 * * [simplify]: Extracting #7: cost 0 inf + 99668 10.340 * * [simplify]: Extracting #8: cost 0 inf + 99308 10.360 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.360 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.360 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.361 * * [simplify]: iters left: 6 (10 enodes) 10.366 * * [simplify]: iters left: 5 (42 enodes) 10.373 * * [simplify]: iters left: 4 (65 enodes) 10.388 * * [simplify]: iters left: 3 (104 enodes) 10.426 * * [simplify]: iters left: 2 (206 enodes) 10.511 * * [simplify]: iters left: 1 (433 enodes) 10.720 * * [simplify]: Extracting #0: cost 1 inf + 0 10.720 * * [simplify]: Extracting #1: cost 45 inf + 0 10.720 * * [simplify]: Extracting #2: cost 143 inf + 0 10.721 * * [simplify]: Extracting #3: cost 213 inf + 45 10.722 * * [simplify]: Extracting #4: cost 203 inf + 1718 10.726 * * [simplify]: Extracting #5: cost 130 inf + 20716 10.740 * * [simplify]: Extracting #6: cost 18 inf + 99664 10.775 * * [simplify]: Extracting #7: cost 0 inf + 106929 10.828 * * [simplify]: Extracting #8: cost 0 inf + 106247 10.871 * * [simplify]: Extracting #9: cost 0 inf + 105867 10.914 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.914 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 10.914 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.914 * * [simplify]: iters left: 6 (16 enodes) 10.919 * * [simplify]: iters left: 5 (69 enodes) 10.931 * * [simplify]: iters left: 4 (117 enodes) 10.949 * * [simplify]: iters left: 3 (164 enodes) 10.989 * * [simplify]: iters left: 2 (236 enodes) 11.044 * * [simplify]: iters left: 1 (387 enodes) 11.206 * * [simplify]: Extracting #0: cost 1 inf + 0 11.206 * * [simplify]: Extracting #1: cost 11 inf + 0 11.206 * * [simplify]: Extracting #2: cost 22 inf + 0 11.206 * * [simplify]: Extracting #3: cost 48 inf + 0 11.206 * * [simplify]: Extracting #4: cost 120 inf + 2 11.210 * * [simplify]: Extracting #5: cost 145 inf + 1787 11.212 * * [simplify]: Extracting #6: cost 89 inf + 14823 11.218 * * [simplify]: Extracting #7: cost 35 inf + 37040 11.236 * * [simplify]: Extracting #8: cost 4 inf + 64421 11.255 * * [simplify]: Extracting #9: cost 0 inf + 66215 11.267 * * [simplify]: Extracting #10: cost 0 inf + 65834 11.280 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 11.280 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.280 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.280 * * [simplify]: iters left: 6 (14 enodes) 11.284 * * [simplify]: iters left: 5 (57 enodes) 11.294 * * [simplify]: iters left: 4 (90 enodes) 11.314 * * [simplify]: iters left: 3 (127 enodes) 11.336 * * [simplify]: iters left: 2 (195 enodes) 11.387 * * [simplify]: iters left: 1 (356 enodes) 11.542 * * [simplify]: Extracting #0: cost 1 inf + 0 11.542 * * [simplify]: Extracting #1: cost 4 inf + 0 11.542 * * [simplify]: Extracting #2: cost 8 inf + 0 11.542 * * [simplify]: Extracting #3: cost 34 inf + 0 11.543 * * [simplify]: Extracting #4: cost 107 inf + 164 11.544 * * [simplify]: Extracting #5: cost 148 inf + 585 11.546 * * [simplify]: Extracting #6: cost 104 inf + 6057 11.551 * * [simplify]: Extracting #7: cost 40 inf + 28932 11.559 * * [simplify]: Extracting #8: cost 3 inf + 60785 11.570 * * [simplify]: Extracting #9: cost 0 inf + 62323 11.580 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.580 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 11.580 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 11.580 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.580 * * [simplify]: iters left: 6 (16 enodes) 11.585 * * [simplify]: iters left: 5 (66 enodes) 11.596 * * [simplify]: iters left: 4 (103 enodes) 11.617 * * [simplify]: iters left: 3 (142 enodes) 11.646 * * [simplify]: iters left: 2 (210 enodes) 11.694 * * [simplify]: iters left: 1 (370 enodes) 11.812 * * [simplify]: Extracting #0: cost 1 inf + 0 11.812 * * [simplify]: Extracting #1: cost 7 inf + 0 11.812 * * [simplify]: Extracting #2: cost 15 inf + 0 11.812 * * [simplify]: Extracting #3: cost 43 inf + 0 11.813 * * [simplify]: Extracting #4: cost 113 inf + 204 11.814 * * [simplify]: Extracting #5: cost 144 inf + 990 11.815 * * [simplify]: Extracting #6: cost 110 inf + 4920 11.819 * * [simplify]: Extracting #7: cost 55 inf + 21303 11.826 * * [simplify]: Extracting #8: cost 13 inf + 52139 11.836 * * [simplify]: Extracting #9: cost 0 inf + 63233 11.846 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.846 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.846 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.847 * * [simplify]: iters left: 6 (14 enodes) 11.851 * * [simplify]: iters left: 5 (57 enodes) 11.874 * * [simplify]: iters left: 4 (90 enodes) 11.902 * * [simplify]: iters left: 3 (127 enodes) 11.934 * * [simplify]: iters left: 2 (195 enodes) 11.979 * * [simplify]: iters left: 1 (356 enodes) 12.130 * * [simplify]: Extracting #0: cost 1 inf + 0 12.130 * * [simplify]: Extracting #1: cost 4 inf + 0 12.130 * * [simplify]: Extracting #2: cost 8 inf + 0 12.130 * * [simplify]: Extracting #3: cost 34 inf + 0 12.131 * * [simplify]: Extracting #4: cost 107 inf + 204 12.132 * * [simplify]: Extracting #5: cost 148 inf + 665 12.135 * * [simplify]: Extracting #6: cost 104 inf + 6137 12.144 * * [simplify]: Extracting #7: cost 40 inf + 29012 12.157 * * [simplify]: Extracting #8: cost 3 inf + 60865 12.168 * * [simplify]: Extracting #9: cost 0 inf + 62403 12.180 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.181 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 12.181 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 12.181 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.181 * * [simplify]: iters left: 6 (15 enodes) 12.185 * * [simplify]: iters left: 5 (62 enodes) 12.205 * * [simplify]: iters left: 4 (99 enodes) 12.236 * * [simplify]: iters left: 3 (142 enodes) 12.280 * * [simplify]: iters left: 2 (215 enodes) 12.337 * * [simplify]: iters left: 1 (364 enodes) 12.481 * * [simplify]: Extracting #0: cost 1 inf + 0 12.481 * * [simplify]: Extracting #1: cost 7 inf + 0 12.481 * * [simplify]: Extracting #2: cost 14 inf + 0 12.481 * * [simplify]: Extracting #3: cost 41 inf + 0 12.482 * * [simplify]: Extracting #4: cost 108 inf + 124 12.483 * * [simplify]: Extracting #5: cost 134 inf + 713 12.488 * * [simplify]: Extracting #6: cost 89 inf + 7865 12.500 * * [simplify]: Extracting #7: cost 23 inf + 42624 12.519 * * [simplify]: Extracting #8: cost 0 inf + 60960 12.543 * * [simplify]: Extracting #9: cost 0 inf + 60349 12.562 * * [simplify]: Extracting #10: cost 0 inf + 60309 12.580 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.581 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 12.581 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.581 * * [simplify]: iters left: 6 (14 enodes) 12.590 * * [simplify]: iters left: 5 (57 enodes) 12.608 * * [simplify]: iters left: 4 (90 enodes) 12.627 * * [simplify]: iters left: 3 (127 enodes) 12.649 * * [simplify]: iters left: 2 (195 enodes) 12.711 * * [simplify]: iters left: 1 (356 enodes) 12.895 * * [simplify]: Extracting #0: cost 1 inf + 0 12.895 * * [simplify]: Extracting #1: cost 4 inf + 0 12.895 * * [simplify]: Extracting #2: cost 8 inf + 0 12.895 * * [simplify]: Extracting #3: cost 34 inf + 0 12.896 * * [simplify]: Extracting #4: cost 107 inf + 124 12.897 * * [simplify]: Extracting #5: cost 148 inf + 505 12.904 * * [simplify]: Extracting #6: cost 104 inf + 5977 12.912 * * [simplify]: Extracting #7: cost 40 inf + 28772 12.924 * * [simplify]: Extracting #8: cost 3 inf + 60625 12.934 * * [simplify]: Extracting #9: cost 0 inf + 62163 12.945 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.945 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.946 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 12.946 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.946 * * [simplify]: iters left: 6 (14 enodes) 12.950 * * [simplify]: iters left: 5 (59 enodes) 12.961 * * [simplify]: iters left: 4 (96 enodes) 12.984 * * [simplify]: iters left: 3 (136 enodes) 13.023 * * [simplify]: iters left: 2 (205 enodes) 13.066 * * [simplify]: iters left: 1 (370 enodes) 13.202 * * [simplify]: Extracting #0: cost 1 inf + 0 13.202 * * [simplify]: Extracting #1: cost 5 inf + 0 13.202 * * [simplify]: Extracting #2: cost 7 inf + 1 13.202 * * [simplify]: Extracting #3: cost 31 inf + 1 13.203 * * [simplify]: Extracting #4: cost 103 inf + 2 13.203 * * [simplify]: Extracting #5: cost 150 inf + 218 13.204 * * [simplify]: Extracting #6: cost 145 inf + 809 13.206 * * [simplify]: Extracting #7: cost 87 inf + 10304 13.215 * * [simplify]: Extracting #8: cost 25 inf + 34558 13.228 * * [simplify]: Extracting #9: cost 0 inf + 51677 13.242 * * [simplify]: Extracting #10: cost 0 inf + 51597 13.269 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.269 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.269 * * [simplify]: iters left: 6 (13 enodes) 13.277 * * [simplify]: iters left: 5 (54 enodes) 13.295 * * [simplify]: iters left: 4 (87 enodes) 13.322 * * [simplify]: iters left: 3 (128 enodes) 13.368 * * [simplify]: iters left: 2 (197 enodes) 13.436 * * [simplify]: iters left: 1 (354 enodes) 13.536 * * [simplify]: Extracting #0: cost 1 inf + 0 13.536 * * [simplify]: Extracting #1: cost 4 inf + 0 13.536 * * [simplify]: Extracting #2: cost 8 inf + 0 13.536 * * [simplify]: Extracting #3: cost 28 inf + 83 13.536 * * [simplify]: Extracting #4: cost 105 inf + 84 13.537 * * [simplify]: Extracting #5: cost 139 inf + 343 13.538 * * [simplify]: Extracting #6: cost 97 inf + 5103 13.543 * * [simplify]: Extracting #7: cost 34 inf + 36313 13.553 * * [simplify]: Extracting #8: cost 1 inf + 60074 13.562 * * [simplify]: Extracting #9: cost 0 inf + 60197 13.572 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 13.572 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 13.572 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 13.573 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.573 * * [simplify]: iters left: 6 (15 enodes) 13.577 * * [simplify]: iters left: 5 (62 enodes) 13.588 * * [simplify]: iters left: 4 (99 enodes) 13.623 * * [simplify]: iters left: 3 (142 enodes) 13.667 * * [simplify]: iters left: 2 (215 enodes) 13.716 * * [simplify]: iters left: 1 (364 enodes) 13.889 * * [simplify]: Extracting #0: cost 1 inf + 0 13.889 * * [simplify]: Extracting #1: cost 7 inf + 0 13.889 * * [simplify]: Extracting #2: cost 14 inf + 0 13.889 * * [simplify]: Extracting #3: cost 41 inf + 0 13.889 * * [simplify]: Extracting #4: cost 108 inf + 124 13.890 * * [simplify]: Extracting #5: cost 134 inf + 713 13.892 * * [simplify]: Extracting #6: cost 89 inf + 7865 13.898 * * [simplify]: Extracting #7: cost 23 inf + 42624 13.907 * * [simplify]: Extracting #8: cost 0 inf + 60960 13.923 * * [simplify]: Extracting #9: cost 0 inf + 60349 13.941 * * [simplify]: Extracting #10: cost 0 inf + 60309 13.959 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.959 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.960 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.960 * * [simplify]: iters left: 6 (14 enodes) 13.968 * * [simplify]: iters left: 5 (57 enodes) 13.991 * * [simplify]: iters left: 4 (90 enodes) 14.012 * * [simplify]: iters left: 3 (127 enodes) 14.032 * * [simplify]: iters left: 2 (195 enodes) 14.083 * * [simplify]: iters left: 1 (356 enodes) 14.186 * * [simplify]: Extracting #0: cost 1 inf + 0 14.186 * * [simplify]: Extracting #1: cost 4 inf + 0 14.186 * * [simplify]: Extracting #2: cost 8 inf + 0 14.187 * * [simplify]: Extracting #3: cost 34 inf + 0 14.187 * * [simplify]: Extracting #4: cost 107 inf + 124 14.187 * * [simplify]: Extracting #5: cost 148 inf + 505 14.189 * * [simplify]: Extracting #6: cost 104 inf + 5977 14.198 * * [simplify]: Extracting #7: cost 40 inf + 28772 14.216 * * [simplify]: Extracting #8: cost 3 inf + 60625 14.235 * * [simplify]: Extracting #9: cost 0 inf + 62163 14.260 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.260 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 14.260 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 14.261 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.261 * * [simplify]: iters left: 6 (13 enodes) 14.267 * * [simplify]: iters left: 5 (54 enodes) 14.276 * * [simplify]: iters left: 4 (95 enodes) 14.292 * * [simplify]: iters left: 3 (137 enodes) 14.322 * * [simplify]: iters left: 2 (206 enodes) 14.375 * * [simplify]: iters left: 1 (362 enodes) 14.479 * * [simplify]: Extracting #0: cost 1 inf + 0 14.479 * * [simplify]: Extracting #1: cost 5 inf + 0 14.479 * * [simplify]: Extracting #2: cost 7 inf + 1 14.479 * * [simplify]: Extracting #3: cost 32 inf + 1 14.479 * * [simplify]: Extracting #4: cost 110 inf + 2 14.480 * * [simplify]: Extracting #5: cost 158 inf + 176 14.481 * * [simplify]: Extracting #6: cost 152 inf + 519 14.483 * * [simplify]: Extracting #7: cost 101 inf + 8278 14.489 * * [simplify]: Extracting #8: cost 36 inf + 29809 14.510 * * [simplify]: Extracting #9: cost 0 inf + 59743 14.536 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.537 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 14.537 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.537 * * [simplify]: iters left: 6 (13 enodes) 14.545 * * [simplify]: iters left: 5 (54 enodes) 14.562 * * [simplify]: iters left: 4 (87 enodes) 14.587 * * [simplify]: iters left: 3 (128 enodes) 14.608 * * [simplify]: iters left: 2 (197 enodes) 14.655 * * [simplify]: iters left: 1 (354 enodes) 14.778 * * [simplify]: Extracting #0: cost 1 inf + 0 14.779 * * [simplify]: Extracting #1: cost 4 inf + 0 14.779 * * [simplify]: Extracting #2: cost 8 inf + 0 14.779 * * [simplify]: Extracting #3: cost 28 inf + 83 14.779 * * [simplify]: Extracting #4: cost 105 inf + 84 14.780 * * [simplify]: Extracting #5: cost 139 inf + 343 14.781 * * [simplify]: Extracting #6: cost 97 inf + 5103 14.786 * * [simplify]: Extracting #7: cost 34 inf + 36313 14.803 * * [simplify]: Extracting #8: cost 1 inf + 60074 15.185 * * [simplify]: Extracting #9: cost 0 inf + 60197 15.205 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 15.205 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 15.205 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 15.206 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.206 * * [simplify]: iters left: 6 (15 enodes) 15.214 * * [simplify]: iters left: 5 (62 enodes) 15.234 * * [simplify]: iters left: 4 (98 enodes) 15.262 * * [simplify]: iters left: 3 (134 enodes) 15.284 * * [simplify]: iters left: 2 (202 enodes) 15.333 * * [simplify]: iters left: 1 (362 enodes) 15.474 * * [simplify]: Extracting #0: cost 1 inf + 0 15.474 * * [simplify]: Extracting #1: cost 6 inf + 0 15.474 * * [simplify]: Extracting #2: cost 13 inf + 0 15.475 * * [simplify]: Extracting #3: cost 43 inf + 0 15.475 * * [simplify]: Extracting #4: cost 123 inf + 2 15.477 * * [simplify]: Extracting #5: cost 143 inf + 1737 15.482 * * [simplify]: Extracting #6: cost 78 inf + 14117 15.493 * * [simplify]: Extracting #7: cost 41 inf + 26321 15.509 * * [simplify]: Extracting #8: cost 0 inf + 58201 15.522 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.522 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.522 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.522 * * [simplify]: iters left: 6 (14 enodes) 15.527 * * [simplify]: iters left: 5 (57 enodes) 15.542 * * [simplify]: iters left: 4 (91 enodes) 15.568 * * [simplify]: iters left: 3 (127 enodes) 15.588 * * [simplify]: iters left: 2 (195 enodes) 15.636 * * [simplify]: iters left: 1 (354 enodes) 15.752 * * [simplify]: Extracting #0: cost 1 inf + 0 15.752 * * [simplify]: Extracting #1: cost 4 inf + 0 15.752 * * [simplify]: Extracting #2: cost 9 inf + 0 15.752 * * [simplify]: Extracting #3: cost 36 inf + 0 15.753 * * [simplify]: Extracting #4: cost 113 inf + 164 15.753 * * [simplify]: Extracting #5: cost 137 inf + 711 15.756 * * [simplify]: Extracting #6: cost 71 inf + 16363 15.764 * * [simplify]: Extracting #7: cost 10 inf + 50147 15.781 * * [simplify]: Extracting #8: cost 0 inf + 57814 15.794 * * [simplify]: Extracting #9: cost 0 inf + 57305 15.803 * * [simplify]: Extracting #10: cost 0 inf + 57095 15.813 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.813 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 15.814 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 15.814 * * [simplify]: iters left: 6 (15 enodes) 15.819 * * [simplify]: iters left: 5 (61 enodes) 15.838 * * [simplify]: iters left: 4 (95 enodes) 15.856 * * [simplify]: iters left: 3 (131 enodes) 15.878 * * [simplify]: iters left: 2 (199 enodes) 15.928 * * [simplify]: iters left: 1 (362 enodes) 16.047 * * [simplify]: Extracting #0: cost 1 inf + 0 16.047 * * [simplify]: Extracting #1: cost 4 inf + 0 16.047 * * [simplify]: Extracting #2: cost 10 inf + 0 16.047 * * [simplify]: Extracting #3: cost 41 inf + 0 16.048 * * [simplify]: Extracting #4: cost 124 inf + 325 16.050 * * [simplify]: Extracting #5: cost 146 inf + 2066 16.055 * * [simplify]: Extracting #6: cost 88 inf + 11216 16.062 * * [simplify]: Extracting #7: cost 59 inf + 18921 16.069 * * [simplify]: Extracting #8: cost 20 inf + 50076 16.079 * * [simplify]: Extracting #9: cost 0 inf + 68061 16.088 * * [simplify]: Extracting #10: cost 0 inf + 67850 16.106 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.106 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.107 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.107 * * [simplify]: iters left: 6 (14 enodes) 16.111 * * [simplify]: iters left: 5 (57 enodes) 16.121 * * [simplify]: iters left: 4 (91 enodes) 16.135 * * [simplify]: iters left: 3 (127 enodes) 16.178 * * [simplify]: iters left: 2 (195 enodes) 16.231 * * [simplify]: iters left: 1 (354 enodes) 16.384 * * [simplify]: Extracting #0: cost 1 inf + 0 16.384 * * [simplify]: Extracting #1: cost 4 inf + 0 16.384 * * [simplify]: Extracting #2: cost 9 inf + 0 16.384 * * [simplify]: Extracting #3: cost 36 inf + 0 16.385 * * [simplify]: Extracting #4: cost 113 inf + 204 16.386 * * [simplify]: Extracting #5: cost 137 inf + 791 16.391 * * [simplify]: Extracting #6: cost 71 inf + 16443 16.407 * * [simplify]: Extracting #7: cost 10 inf + 50227 16.426 * * [simplify]: Extracting #8: cost 0 inf + 57894 16.446 * * [simplify]: Extracting #9: cost 0 inf + 57385 16.467 * * [simplify]: Extracting #10: cost 0 inf + 57175 16.487 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.487 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.487 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 16.487 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.488 * * [simplify]: iters left: 6 (14 enodes) 16.495 * * [simplify]: iters left: 5 (57 enodes) 16.517 * * [simplify]: iters left: 4 (91 enodes) 16.544 * * [simplify]: iters left: 3 (127 enodes) 16.584 * * [simplify]: iters left: 2 (195 enodes) 16.658 * * [simplify]: iters left: 1 (354 enodes) 16.793 * * [simplify]: Extracting #0: cost 1 inf + 0 16.793 * * [simplify]: Extracting #1: cost 4 inf + 0 16.793 * * [simplify]: Extracting #2: cost 9 inf + 0 16.793 * * [simplify]: Extracting #3: cost 36 inf + 0 16.793 * * [simplify]: Extracting #4: cost 113 inf + 124 16.794 * * [simplify]: Extracting #5: cost 137 inf + 631 16.796 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.808 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.818 * * [simplify]: Extracting #8: cost 0 inf + 57654 16.828 * * [simplify]: Extracting #9: cost 0 inf + 57145 16.841 * * [simplify]: Extracting #10: cost 0 inf + 56935 16.850 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.850 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.851 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.851 * * [simplify]: iters left: 6 (14 enodes) 16.855 * * [simplify]: iters left: 5 (57 enodes) 16.871 * * [simplify]: iters left: 4 (91 enodes) 16.898 * * [simplify]: iters left: 3 (127 enodes) 16.938 * * [simplify]: iters left: 2 (195 enodes) 17.006 * * [simplify]: iters left: 1 (354 enodes) 17.114 * * [simplify]: Extracting #0: cost 1 inf + 0 17.114 * * [simplify]: Extracting #1: cost 4 inf + 0 17.114 * * [simplify]: Extracting #2: cost 9 inf + 0 17.114 * * [simplify]: Extracting #3: cost 36 inf + 0 17.114 * * [simplify]: Extracting #4: cost 113 inf + 124 17.115 * * [simplify]: Extracting #5: cost 137 inf + 631 17.117 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.129 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.144 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.163 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.183 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.194 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.194 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.194 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 17.194 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.194 * * [simplify]: iters left: 6 (13 enodes) 17.199 * * [simplify]: iters left: 5 (54 enodes) 17.208 * * [simplify]: iters left: 4 (88 enodes) 17.221 * * [simplify]: iters left: 3 (127 enodes) 17.244 * * [simplify]: iters left: 2 (196 enodes) 17.315 * * [simplify]: iters left: 1 (362 enodes) 17.459 * * [simplify]: Extracting #0: cost 1 inf + 0 17.459 * * [simplify]: Extracting #1: cost 5 inf + 0 17.459 * * [simplify]: Extracting #2: cost 27 inf + 1 17.459 * * [simplify]: Extracting #3: cost 103 inf + 2 17.460 * * [simplify]: Extracting #4: cost 147 inf + 177 17.461 * * [simplify]: Extracting #5: cost 138 inf + 727 17.462 * * [simplify]: Extracting #6: cost 92 inf + 5570 17.468 * * [simplify]: Extracting #7: cost 20 inf + 39855 17.477 * * [simplify]: Extracting #8: cost 0 inf + 56614 17.490 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.490 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 17.491 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.491 * * [simplify]: iters left: 6 (13 enodes) 17.498 * * [simplify]: iters left: 5 (54 enodes) 17.516 * * [simplify]: iters left: 4 (88 enodes) 17.543 * * [simplify]: iters left: 3 (125 enodes) 17.583 * * [simplify]: iters left: 2 (193 enodes) 17.620 * * [simplify]: iters left: 1 (356 enodes) 17.752 * * [simplify]: Extracting #0: cost 1 inf + 0 17.752 * * [simplify]: Extracting #1: cost 4 inf + 0 17.753 * * [simplify]: Extracting #2: cost 9 inf + 0 17.753 * * [simplify]: Extracting #3: cost 32 inf + 1 17.753 * * [simplify]: Extracting #4: cost 105 inf + 84 17.754 * * [simplify]: Extracting #5: cost 126 inf + 1591 17.760 * * [simplify]: Extracting #6: cost 68 inf + 14727 17.778 * * [simplify]: Extracting #7: cost 10 inf + 40855 17.804 * * [simplify]: Extracting #8: cost 0 inf + 47636 17.830 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.830 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 17.830 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 17.831 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.831 * * [simplify]: iters left: 6 (14 enodes) 17.838 * * [simplify]: iters left: 5 (57 enodes) 17.854 * * [simplify]: iters left: 4 (91 enodes) 17.868 * * [simplify]: iters left: 3 (127 enodes) 17.897 * * [simplify]: iters left: 2 (195 enodes) 17.940 * * [simplify]: iters left: 1 (354 enodes) 18.127 * * [simplify]: Extracting #0: cost 1 inf + 0 18.127 * * [simplify]: Extracting #1: cost 4 inf + 0 18.127 * * [simplify]: Extracting #2: cost 9 inf + 0 18.127 * * [simplify]: Extracting #3: cost 36 inf + 0 18.128 * * [simplify]: Extracting #4: cost 113 inf + 124 18.129 * * [simplify]: Extracting #5: cost 137 inf + 631 18.134 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.149 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.169 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.191 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.211 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.230 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.230 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.231 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.231 * * [simplify]: iters left: 6 (14 enodes) 18.238 * * [simplify]: iters left: 5 (57 enodes) 18.257 * * [simplify]: iters left: 4 (91 enodes) 18.287 * * [simplify]: iters left: 3 (127 enodes) 18.327 * * [simplify]: iters left: 2 (195 enodes) 18.385 * * [simplify]: iters left: 1 (354 enodes) 18.534 * * [simplify]: Extracting #0: cost 1 inf + 0 18.534 * * [simplify]: Extracting #1: cost 4 inf + 0 18.534 * * [simplify]: Extracting #2: cost 9 inf + 0 18.534 * * [simplify]: Extracting #3: cost 36 inf + 0 18.535 * * [simplify]: Extracting #4: cost 113 inf + 124 18.536 * * [simplify]: Extracting #5: cost 137 inf + 631 18.539 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.547 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.557 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.567 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.577 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.589 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.589 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.589 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 18.589 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.589 * * [simplify]: iters left: 6 (12 enodes) 18.593 * * [simplify]: iters left: 5 (49 enodes) 18.601 * * [simplify]: iters left: 4 (83 enodes) 18.614 * * [simplify]: iters left: 3 (124 enodes) 18.646 * * [simplify]: iters left: 2 (197 enodes) 18.717 * * [simplify]: iters left: 1 (352 enodes) 18.852 * * [simplify]: Extracting #0: cost 1 inf + 0 18.852 * * [simplify]: Extracting #1: cost 5 inf + 0 18.852 * * [simplify]: Extracting #2: cost 27 inf + 1 18.853 * * [simplify]: Extracting #3: cost 107 inf + 2 18.854 * * [simplify]: Extracting #4: cost 136 inf + 177 18.856 * * [simplify]: Extracting #5: cost 130 inf + 641 18.859 * * [simplify]: Extracting #6: cost 70 inf + 10495 18.867 * * [simplify]: Extracting #7: cost 39 inf + 22866 18.882 * * [simplify]: Extracting #8: cost 5 inf + 50330 18.899 * * [simplify]: Extracting #9: cost 0 inf + 54200 18.909 * * [simplify]: Extracting #10: cost 0 inf + 53889 18.925 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 18.925 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.925 * * [simplify]: iters left: 6 (13 enodes) 18.931 * * [simplify]: iters left: 5 (54 enodes) 18.940 * * [simplify]: iters left: 4 (88 enodes) 18.954 * * [simplify]: iters left: 3 (125 enodes) 18.989 * * [simplify]: iters left: 2 (193 enodes) 19.059 * * [simplify]: iters left: 1 (356 enodes) 19.215 * * [simplify]: Extracting #0: cost 1 inf + 0 19.215 * * [simplify]: Extracting #1: cost 4 inf + 0 19.216 * * [simplify]: Extracting #2: cost 9 inf + 0 19.216 * * [simplify]: Extracting #3: cost 32 inf + 1 19.216 * * [simplify]: Extracting #4: cost 105 inf + 84 19.218 * * [simplify]: Extracting #5: cost 126 inf + 1591 19.227 * * [simplify]: Extracting #6: cost 68 inf + 14727 19.245 * * [simplify]: Extracting #7: cost 10 inf + 40855 19.264 * * [simplify]: Extracting #8: cost 0 inf + 47636 19.277 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.277 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 19.277 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 19.278 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.278 * * [simplify]: iters left: 6 (6 enodes) 19.279 * * [simplify]: iters left: 5 (22 enodes) 19.283 * * [simplify]: iters left: 4 (26 enodes) 19.287 * * [simplify]: Extracting #0: cost 1 inf + 0 19.287 * * [simplify]: Extracting #1: cost 6 inf + 0 19.287 * * [simplify]: Extracting #2: cost 9 inf + 1 19.287 * * [simplify]: Extracting #3: cost 11 inf + 1 19.287 * * [simplify]: Extracting #4: cost 8 inf + 84 19.287 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.288 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.288 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.288 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.288 * * [simplify]: iters left: 6 (13 enodes) 19.294 * * [simplify]: iters left: 5 (54 enodes) 19.309 * * [simplify]: iters left: 4 (89 enodes) 19.323 * * [simplify]: iters left: 3 (136 enodes) 19.358 * * [simplify]: iters left: 2 (221 enodes) 19.439 * * [simplify]: iters left: 1 (444 enodes) 19.618 * * [simplify]: Extracting #0: cost 1 inf + 0 19.618 * * [simplify]: Extracting #1: cost 51 inf + 0 19.619 * * [simplify]: Extracting #2: cost 142 inf + 0 19.620 * * [simplify]: Extracting #3: cost 218 inf + 3 19.621 * * [simplify]: Extracting #4: cost 207 inf + 1337 19.627 * * [simplify]: Extracting #5: cost 133 inf + 19274 19.645 * * [simplify]: Extracting #6: cost 32 inf + 94866 19.679 * * [simplify]: Extracting #7: cost 0 inf + 124049 19.715 * * [simplify]: Extracting #8: cost 0 inf + 120814 19.748 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.748 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.748 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 19.749 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.749 * * [simplify]: iters left: 6 (6 enodes) 19.752 * * [simplify]: iters left: 5 (21 enodes) 19.758 * * [simplify]: iters left: 4 (23 enodes) 19.764 * * [simplify]: Extracting #0: cost 1 inf + 0 19.764 * * [simplify]: Extracting #1: cost 4 inf + 0 19.765 * * [simplify]: Extracting #2: cost 6 inf + 1 19.765 * * [simplify]: Extracting #3: cost 9 inf + 1 19.765 * * [simplify]: Extracting #4: cost 8 inf + 2 19.765 * * [simplify]: Extracting #5: cost 1 inf + 810 19.765 * * [simplify]: Extracting #6: cost 0 inf + 972 19.765 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.765 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.766 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.766 * * [simplify]: iters left: 6 (13 enodes) 19.770 * * [simplify]: iters left: 5 (54 enodes) 19.781 * * [simplify]: iters left: 4 (89 enodes) 19.797 * * [simplify]: iters left: 3 (136 enodes) 19.837 * * [simplify]: iters left: 2 (221 enodes) 19.889 * * [simplify]: iters left: 1 (444 enodes) 20.060 * * [simplify]: Extracting #0: cost 1 inf + 0 20.061 * * [simplify]: Extracting #1: cost 51 inf + 0 20.061 * * [simplify]: Extracting #2: cost 142 inf + 0 20.063 * * [simplify]: Extracting #3: cost 218 inf + 3 20.065 * * [simplify]: Extracting #4: cost 207 inf + 1377 20.071 * * [simplify]: Extracting #5: cost 133 inf + 19354 20.095 * * [simplify]: Extracting #6: cost 32 inf + 94946 20.119 * * [simplify]: Extracting #7: cost 0 inf + 124129 20.144 * * [simplify]: Extracting #8: cost 0 inf + 120894 20.177 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.177 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.177 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 20.177 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.177 * * [simplify]: iters left: 4 (5 enodes) 20.178 * * [simplify]: iters left: 3 (17 enodes) 20.181 * * [simplify]: iters left: 2 (19 enodes) 20.184 * * [simplify]: Extracting #0: cost 1 inf + 0 20.184 * * [simplify]: Extracting #1: cost 4 inf + 0 20.184 * * [simplify]: Extracting #2: cost 5 inf + 1 20.184 * * [simplify]: Extracting #3: cost 7 inf + 1 20.184 * * [simplify]: Extracting #4: cost 0 inf + 490 20.184 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.184 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.185 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.185 * * [simplify]: iters left: 6 (13 enodes) 20.188 * * [simplify]: iters left: 5 (54 enodes) 20.201 * * [simplify]: iters left: 4 (89 enodes) 20.228 * * [simplify]: iters left: 3 (136 enodes) 20.274 * * [simplify]: iters left: 2 (221 enodes) 20.358 * * [simplify]: iters left: 1 (444 enodes) 20.570 * * [simplify]: Extracting #0: cost 1 inf + 0 20.570 * * [simplify]: Extracting #1: cost 51 inf + 0 20.571 * * [simplify]: Extracting #2: cost 142 inf + 0 20.572 * * [simplify]: Extracting #3: cost 218 inf + 3 20.574 * * [simplify]: Extracting #4: cost 207 inf + 1257 20.581 * * [simplify]: Extracting #5: cost 133 inf + 18954 20.598 * * [simplify]: Extracting #6: cost 32 inf + 92706 20.617 * * [simplify]: Extracting #7: cost 0 inf + 121009 20.635 * * [simplify]: Extracting #8: cost 0 inf + 117774 20.669 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.669 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.669 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 20.669 * [simplify]: Simplifying (/ 1 (sqrt 1)) 20.669 * * [simplify]: iters left: 3 (3 enodes) 20.675 * * [simplify]: iters left: 2 (11 enodes) 20.676 * * [simplify]: iters left: 1 (13 enodes) 20.678 * * [simplify]: Extracting #0: cost 1 inf + 0 20.678 * * [simplify]: Extracting #1: cost 0 inf + 1 20.678 * [simplify]: Simplified to 1 20.678 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.679 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.679 * * [simplify]: iters left: 6 (12 enodes) 20.682 * * [simplify]: iters left: 5 (51 enodes) 20.691 * * [simplify]: iters left: 4 (86 enodes) 20.710 * * [simplify]: iters left: 3 (133 enodes) 20.752 * * [simplify]: iters left: 2 (218 enodes) 20.836 * * [simplify]: iters left: 1 (444 enodes) 20.986 * * [simplify]: Extracting #0: cost 1 inf + 0 20.986 * * [simplify]: Extracting #1: cost 39 inf + 0 20.987 * * [simplify]: Extracting #2: cost 126 inf + 0 20.987 * * [simplify]: Extracting #3: cost 201 inf + 4 20.989 * * [simplify]: Extracting #4: cost 189 inf + 1508 20.993 * * [simplify]: Extracting #5: cost 135 inf + 9951 21.009 * * [simplify]: Extracting #6: cost 51 inf + 62585 21.040 * * [simplify]: Extracting #7: cost 2 inf + 102691 21.072 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.095 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.095 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.096 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 21.096 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.096 * * [simplify]: iters left: 4 (5 enodes) 21.097 * * [simplify]: iters left: 3 (17 enodes) 21.100 * * [simplify]: iters left: 2 (19 enodes) 21.103 * * [simplify]: Extracting #0: cost 1 inf + 0 21.103 * * [simplify]: Extracting #1: cost 4 inf + 0 21.103 * * [simplify]: Extracting #2: cost 5 inf + 1 21.103 * * [simplify]: Extracting #3: cost 7 inf + 1 21.103 * * [simplify]: Extracting #4: cost 0 inf + 490 21.103 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.103 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.104 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.104 * * [simplify]: iters left: 6 (13 enodes) 21.107 * * [simplify]: iters left: 5 (54 enodes) 21.119 * * [simplify]: iters left: 4 (89 enodes) 21.146 * * [simplify]: iters left: 3 (136 enodes) 21.189 * * [simplify]: iters left: 2 (221 enodes) 21.253 * * [simplify]: iters left: 1 (444 enodes) 21.480 * * [simplify]: Extracting #0: cost 1 inf + 0 21.480 * * [simplify]: Extracting #1: cost 51 inf + 0 21.480 * * [simplify]: Extracting #2: cost 142 inf + 0 21.481 * * [simplify]: Extracting #3: cost 218 inf + 3 21.482 * * [simplify]: Extracting #4: cost 207 inf + 1257 21.486 * * [simplify]: Extracting #5: cost 133 inf + 18954 21.499 * * [simplify]: Extracting #6: cost 32 inf + 92706 21.536 * * [simplify]: Extracting #7: cost 0 inf + 121009 21.574 * * [simplify]: Extracting #8: cost 0 inf + 117774 21.611 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.611 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.611 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 21.611 * [simplify]: Simplifying (/ 1 1) 21.611 * * [simplify]: iters left: 2 (2 enodes) 21.613 * * [simplify]: iters left: 1 (6 enodes) 21.615 * * [simplify]: Extracting #0: cost 1 inf + 0 21.615 * * [simplify]: Extracting #1: cost 0 inf + 1 21.615 * [simplify]: Simplified to 1 21.615 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.616 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.616 * * [simplify]: iters left: 6 (12 enodes) 21.622 * * [simplify]: iters left: 5 (51 enodes) 21.640 * * [simplify]: iters left: 4 (86 enodes) 21.668 * * [simplify]: iters left: 3 (133 enodes) 21.710 * * [simplify]: iters left: 2 (218 enodes) 21.794 * * [simplify]: iters left: 1 (444 enodes) 21.983 * * [simplify]: Extracting #0: cost 1 inf + 0 21.983 * * [simplify]: Extracting #1: cost 39 inf + 0 21.983 * * [simplify]: Extracting #2: cost 126 inf + 0 21.984 * * [simplify]: Extracting #3: cost 201 inf + 4 21.985 * * [simplify]: Extracting #4: cost 189 inf + 1508 21.988 * * [simplify]: Extracting #5: cost 135 inf + 9951 21.996 * * [simplify]: Extracting #6: cost 51 inf + 62585 22.016 * * [simplify]: Extracting #7: cost 2 inf + 102691 22.052 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.084 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.084 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.084 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 22.084 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.084 * * [simplify]: iters left: 6 (15 enodes) 22.093 * * [simplify]: iters left: 5 (65 enodes) 22.108 * * [simplify]: iters left: 4 (109 enodes) 22.129 * * [simplify]: iters left: 3 (185 enodes) 22.177 * * [simplify]: iters left: 2 (368 enodes) 22.267 * * [simplify]: Extracting #0: cost 1 inf + 0 22.268 * * [simplify]: Extracting #1: cost 54 inf + 0 22.268 * * [simplify]: Extracting #2: cost 144 inf + 0 22.269 * * [simplify]: Extracting #3: cost 223 inf + 2 22.270 * * [simplify]: Extracting #4: cost 217 inf + 1415 22.272 * * [simplify]: Extracting #5: cost 166 inf + 8610 22.280 * * [simplify]: Extracting #6: cost 63 inf + 69583 22.295 * * [simplify]: Extracting #7: cost 0 inf + 121597 22.315 * * [simplify]: Extracting #8: cost 0 inf + 120169 22.339 * * [simplify]: Extracting #9: cost 0 inf + 120168 22.371 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.372 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 22.372 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 22.372 * * [simplify]: iters left: 6 (14 enodes) 22.381 * * [simplify]: iters left: 5 (60 enodes) 22.402 * * [simplify]: iters left: 4 (98 enodes) 22.425 * * [simplify]: iters left: 3 (157 enodes) 22.460 * * [simplify]: iters left: 2 (290 enodes) 22.545 * * [simplify]: Extracting #0: cost 1 inf + 0 22.545 * * [simplify]: Extracting #1: cost 30 inf + 0 22.545 * * [simplify]: Extracting #2: cost 72 inf + 0 22.546 * * [simplify]: Extracting #3: cost 138 inf + 2 22.547 * * [simplify]: Extracting #4: cost 142 inf + 932 22.552 * * [simplify]: Extracting #5: cost 72 inf + 18422 22.565 * * [simplify]: Extracting #6: cost 10 inf + 45090 22.580 * * [simplify]: Extracting #7: cost 0 inf + 51502 22.595 * * [simplify]: Extracting #8: cost 0 inf + 51262 22.609 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 22.609 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 22.609 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 22.609 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 22.610 * * [simplify]: iters left: 6 (15 enodes) 22.617 * * [simplify]: iters left: 5 (64 enodes) 22.636 * * [simplify]: iters left: 4 (102 enodes) 22.664 * * [simplify]: iters left: 3 (161 enodes) 22.710 * * [simplify]: iters left: 2 (288 enodes) 22.801 * * [simplify]: Extracting #0: cost 1 inf + 0 22.801 * * [simplify]: Extracting #1: cost 30 inf + 0 22.801 * * [simplify]: Extracting #2: cost 73 inf + 0 22.802 * * [simplify]: Extracting #3: cost 138 inf + 2 22.803 * * [simplify]: Extracting #4: cost 144 inf + 347 22.806 * * [simplify]: Extracting #5: cost 101 inf + 5180 22.813 * * [simplify]: Extracting #6: cost 44 inf + 26188 22.825 * * [simplify]: Extracting #7: cost 7 inf + 54487 22.840 * * [simplify]: Extracting #8: cost 0 inf + 59312 22.851 * * [simplify]: Extracting #9: cost 0 inf + 58534 22.859 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 22.859 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 22.859 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 22.859 * * [simplify]: iters left: 6 (14 enodes) 22.863 * * [simplify]: iters left: 5 (60 enodes) 22.873 * * [simplify]: iters left: 4 (98 enodes) 22.891 * * [simplify]: iters left: 3 (157 enodes) 22.931 * * [simplify]: iters left: 2 (290 enodes) 23.044 * * [simplify]: Extracting #0: cost 1 inf + 0 23.044 * * [simplify]: Extracting #1: cost 30 inf + 0 23.045 * * [simplify]: Extracting #2: cost 72 inf + 0 23.045 * * [simplify]: Extracting #3: cost 138 inf + 2 23.046 * * [simplify]: Extracting #4: cost 142 inf + 932 23.052 * * [simplify]: Extracting #5: cost 72 inf + 18502 23.067 * * [simplify]: Extracting #6: cost 10 inf + 45170 23.084 * * [simplify]: Extracting #7: cost 0 inf + 51582 23.101 * * [simplify]: Extracting #8: cost 0 inf + 51342 23.118 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.119 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 23.119 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 23.119 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.119 * * [simplify]: iters left: 6 (14 enodes) 23.126 * * [simplify]: iters left: 5 (60 enodes) 23.136 * * [simplify]: iters left: 4 (98 enodes) 23.158 * * [simplify]: iters left: 3 (157 enodes) 23.193 * * [simplify]: iters left: 2 (290 enodes) 23.275 * * [simplify]: Extracting #0: cost 1 inf + 0 23.276 * * [simplify]: Extracting #1: cost 30 inf + 0 23.276 * * [simplify]: Extracting #2: cost 72 inf + 0 23.277 * * [simplify]: Extracting #3: cost 138 inf + 2 23.278 * * [simplify]: Extracting #4: cost 142 inf + 932 23.283 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.298 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.308 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.318 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.326 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.326 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.327 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.327 * * [simplify]: iters left: 6 (14 enodes) 23.331 * * [simplify]: iters left: 5 (60 enodes) 23.342 * * [simplify]: iters left: 4 (98 enodes) 23.360 * * [simplify]: iters left: 3 (157 enodes) 23.402 * * [simplify]: iters left: 2 (290 enodes) 23.477 * * [simplify]: Extracting #0: cost 1 inf + 0 23.477 * * [simplify]: Extracting #1: cost 30 inf + 0 23.478 * * [simplify]: Extracting #2: cost 72 inf + 0 23.478 * * [simplify]: Extracting #3: cost 138 inf + 2 23.479 * * [simplify]: Extracting #4: cost 142 inf + 932 23.481 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.489 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.498 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.507 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.516 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.516 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.516 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 23.516 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 23.516 * * [simplify]: iters left: 6 (13 enodes) 23.521 * * [simplify]: iters left: 5 (57 enodes) 23.531 * * [simplify]: iters left: 4 (93 enodes) 23.550 * * [simplify]: iters left: 3 (148 enodes) 23.577 * * [simplify]: iters left: 2 (271 enodes) 23.631 * * [simplify]: iters left: 1 (495 enodes) 23.846 * * [simplify]: Extracting #0: cost 1 inf + 0 23.846 * * [simplify]: Extracting #1: cost 55 inf + 0 23.847 * * [simplify]: Extracting #2: cost 164 inf + 2 23.850 * * [simplify]: Extracting #3: cost 237 inf + 220 23.852 * * [simplify]: Extracting #4: cost 230 inf + 978 23.859 * * [simplify]: Extracting #5: cost 141 inf + 13550 23.879 * * [simplify]: Extracting #6: cost 75 inf + 38571 23.895 * * [simplify]: Extracting #7: cost 10 inf + 93049 23.910 * * [simplify]: Extracting #8: cost 0 inf + 100862 23.932 * * [simplify]: Extracting #9: cost 0 inf + 100439 23.962 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 23.962 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 23.962 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.962 * * [simplify]: iters left: 6 (13 enodes) 23.970 * * [simplify]: iters left: 5 (57 enodes) 23.983 * * [simplify]: iters left: 4 (95 enodes) 23.999 * * [simplify]: iters left: 3 (154 enodes) 24.034 * * [simplify]: iters left: 2 (287 enodes) 24.127 * * [simplify]: Extracting #0: cost 1 inf + 0 24.127 * * [simplify]: Extracting #1: cost 30 inf + 0 24.128 * * [simplify]: Extracting #2: cost 73 inf + 0 24.128 * * [simplify]: Extracting #3: cost 136 inf + 3 24.130 * * [simplify]: Extracting #4: cost 132 inf + 1178 24.133 * * [simplify]: Extracting #5: cost 90 inf + 6800 24.141 * * [simplify]: Extracting #6: cost 20 inf + 38881 24.154 * * [simplify]: Extracting #7: cost 0 inf + 54585 24.169 * * [simplify]: Extracting #8: cost 0 inf + 54374 24.184 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.184 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.185 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 24.185 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.185 * * [simplify]: iters left: 6 (14 enodes) 24.193 * * [simplify]: iters left: 5 (60 enodes) 24.218 * * [simplify]: iters left: 4 (98 enodes) 24.249 * * [simplify]: iters left: 3 (157 enodes) 24.304 * * [simplify]: iters left: 2 (290 enodes) 24.418 * * [simplify]: Extracting #0: cost 1 inf + 0 24.418 * * [simplify]: Extracting #1: cost 30 inf + 0 24.419 * * [simplify]: Extracting #2: cost 72 inf + 0 24.419 * * [simplify]: Extracting #3: cost 138 inf + 2 24.420 * * [simplify]: Extracting #4: cost 142 inf + 932 24.423 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.430 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.438 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.449 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.466 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.466 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 24.467 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.467 * * [simplify]: iters left: 6 (14 enodes) 24.475 * * [simplify]: iters left: 5 (60 enodes) 24.488 * * [simplify]: iters left: 4 (98 enodes) 24.505 * * [simplify]: iters left: 3 (157 enodes) 24.534 * * [simplify]: iters left: 2 (290 enodes) 24.593 * * [simplify]: Extracting #0: cost 1 inf + 0 24.593 * * [simplify]: Extracting #1: cost 30 inf + 0 24.593 * * [simplify]: Extracting #2: cost 72 inf + 0 24.593 * * [simplify]: Extracting #3: cost 138 inf + 2 24.594 * * [simplify]: Extracting #4: cost 142 inf + 932 24.597 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.604 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.621 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.639 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.656 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.656 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 24.656 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 24.656 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 24.657 * * [simplify]: iters left: 6 (12 enodes) 24.664 * * [simplify]: iters left: 5 (52 enodes) 24.686 * * [simplify]: iters left: 4 (90 enodes) 24.714 * * [simplify]: iters left: 3 (151 enodes) 24.744 * * [simplify]: iters left: 2 (287 enodes) 24.832 * * [simplify]: Extracting #0: cost 1 inf + 0 24.832 * * [simplify]: Extracting #1: cost 31 inf + 0 24.832 * * [simplify]: Extracting #2: cost 99 inf + 2 24.833 * * [simplify]: Extracting #3: cost 141 inf + 219 24.834 * * [simplify]: Extracting #4: cost 141 inf + 641 24.837 * * [simplify]: Extracting #5: cost 86 inf + 6314 24.845 * * [simplify]: Extracting #6: cost 34 inf + 26657 24.857 * * [simplify]: Extracting #7: cost 3 inf + 48037 24.872 * * [simplify]: Extracting #8: cost 0 inf + 50067 24.887 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 24.887 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.887 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.887 * * [simplify]: iters left: 6 (13 enodes) 24.895 * * [simplify]: iters left: 5 (57 enodes) 24.918 * * [simplify]: iters left: 4 (95 enodes) 24.947 * * [simplify]: iters left: 3 (154 enodes) 24.999 * * [simplify]: iters left: 2 (287 enodes) 25.061 * * [simplify]: Extracting #0: cost 1 inf + 0 25.061 * * [simplify]: Extracting #1: cost 30 inf + 0 25.061 * * [simplify]: Extracting #2: cost 73 inf + 0 25.061 * * [simplify]: Extracting #3: cost 136 inf + 3 25.062 * * [simplify]: Extracting #4: cost 132 inf + 1178 25.064 * * [simplify]: Extracting #5: cost 90 inf + 6800 25.068 * * [simplify]: Extracting #6: cost 20 inf + 38881 25.078 * * [simplify]: Extracting #7: cost 0 inf + 54585 25.093 * * [simplify]: Extracting #8: cost 0 inf + 54374 25.105 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.105 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 25.105 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 25.105 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 25.105 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 25.105 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 25.105 * [simplify]: Simplifying (cbrt (sqrt k)) 25.105 * * [simplify]: iters left: 2 (3 enodes) 25.106 * * [simplify]: iters left: 1 (9 enodes) 25.107 * * [simplify]: Extracting #0: cost 1 inf + 0 25.107 * * [simplify]: Extracting #1: cost 3 inf + 0 25.107 * * [simplify]: Extracting #2: cost 5 inf + 0 25.107 * * [simplify]: Extracting #3: cost 4 inf + 1 25.107 * * [simplify]: Extracting #4: cost 0 inf + 325 25.107 * [simplify]: Simplified to (cbrt (sqrt k)) 25.107 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.107 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 25.107 * [simplify]: Simplifying (sqrt (cbrt k)) 25.108 * * [simplify]: iters left: 2 (3 enodes) 25.108 * * [simplify]: iters left: 1 (9 enodes) 25.109 * * [simplify]: Extracting #0: cost 1 inf + 0 25.109 * * [simplify]: Extracting #1: cost 3 inf + 0 25.109 * * [simplify]: Extracting #2: cost 5 inf + 0 25.109 * * [simplify]: Extracting #3: cost 4 inf + 1 25.109 * * [simplify]: Extracting #4: cost 0 inf + 405 25.109 * [simplify]: Simplified to (sqrt (cbrt k)) 25.109 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 25.109 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 25.110 * [simplify]: Simplifying (sqrt (sqrt k)) 25.110 * * [simplify]: iters left: 2 (3 enodes) 25.113 * * [simplify]: iters left: 1 (9 enodes) 25.114 * * [simplify]: Extracting #0: cost 1 inf + 0 25.114 * * [simplify]: Extracting #1: cost 3 inf + 0 25.114 * * [simplify]: Extracting #2: cost 5 inf + 0 25.114 * * [simplify]: Extracting #3: cost 4 inf + 1 25.114 * * [simplify]: Extracting #4: cost 0 inf + 245 25.114 * [simplify]: Simplified to (sqrt (sqrt k)) 25.114 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.114 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 25.114 * [simplify]: Simplifying (sqrt k) 25.114 * * [simplify]: iters left: 1 (2 enodes) 25.115 * * [simplify]: Extracting #0: cost 1 inf + 0 25.115 * * [simplify]: Extracting #1: cost 3 inf + 0 25.115 * * [simplify]: Extracting #2: cost 2 inf + 1 25.115 * * [simplify]: Extracting #3: cost 0 inf + 83 25.115 * [simplify]: Simplified to (sqrt k) 25.115 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 25.115 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 25.115 * [simplify]: Simplifying (sqrt (sqrt k)) 25.115 * * [simplify]: iters left: 2 (3 enodes) 25.116 * * [simplify]: iters left: 1 (9 enodes) 25.117 * * [simplify]: Extracting #0: cost 1 inf + 0 25.117 * * [simplify]: Extracting #1: cost 3 inf + 0 25.117 * * [simplify]: Extracting #2: cost 5 inf + 0 25.117 * * [simplify]: Extracting #3: cost 4 inf + 1 25.117 * * [simplify]: Extracting #4: cost 0 inf + 245 25.117 * [simplify]: Simplified to (sqrt (sqrt k)) 25.117 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.117 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 25.117 * [simplify]: Simplifying (sqrt k) 25.117 * * [simplify]: iters left: 1 (2 enodes) 25.118 * * [simplify]: Extracting #0: cost 1 inf + 0 25.118 * * [simplify]: Extracting #1: cost 3 inf + 0 25.118 * * [simplify]: Extracting #2: cost 2 inf + 1 25.118 * * [simplify]: Extracting #3: cost 0 inf + 83 25.118 * [simplify]: Simplified to (sqrt k) 25.118 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 25.118 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 25.118 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 25.118 * * [simplify]: iters left: 5 (7 enodes) 25.121 * * [simplify]: iters left: 4 (32 enodes) 25.127 * * [simplify]: iters left: 3 (57 enodes) 25.138 * * [simplify]: iters left: 2 (88 enodes) 25.168 * * [simplify]: iters left: 1 (156 enodes) 25.203 * * [simplify]: Extracting #0: cost 1 inf + 0 25.204 * * [simplify]: Extracting #1: cost 13 inf + 0 25.204 * * [simplify]: Extracting #2: cost 49 inf + 2 25.204 * * [simplify]: Extracting #3: cost 80 inf + 6 25.204 * * [simplify]: Extracting #4: cost 58 inf + 1840 25.208 * * [simplify]: Extracting #5: cost 22 inf + 9206 25.211 * * [simplify]: Extracting #6: cost 1 inf + 20886 25.214 * * [simplify]: Extracting #7: cost 0 inf + 21301 25.217 * * [simplify]: Extracting #8: cost 0 inf + 21130 25.220 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.220 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 25.221 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 25.221 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 25.221 * * [simplify]: iters left: 6 (12 enodes) 25.228 * * [simplify]: iters left: 5 (51 enodes) 25.246 * * [simplify]: iters left: 4 (84 enodes) 25.271 * * [simplify]: iters left: 3 (125 enodes) 25.291 * * [simplify]: iters left: 2 (198 enodes) 25.354 * * [simplify]: iters left: 1 (353 enodes) 25.494 * * [simplify]: Extracting #0: cost 1 inf + 0 25.494 * * [simplify]: Extracting #1: cost 3 inf + 0 25.494 * * [simplify]: Extracting #2: cost 5 inf + 0 25.495 * * [simplify]: Extracting #3: cost 28 inf + 0 25.495 * * [simplify]: Extracting #4: cost 101 inf + 1 25.495 * * [simplify]: Extracting #5: cost 136 inf + 176 25.496 * * [simplify]: Extracting #6: cost 127 inf + 1730 25.498 * * [simplify]: Extracting #7: cost 68 inf + 14428 25.508 * * [simplify]: Extracting #8: cost 24 inf + 38979 25.523 * * [simplify]: Extracting #9: cost 0 inf + 59741 25.537 * * [simplify]: Extracting #10: cost 0 inf + 57850 25.547 * * [simplify]: Extracting #11: cost 0 inf + 57436 25.558 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 25.558 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 25.558 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 25.558 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 25.559 * * [simplify]: iters left: 6 (11 enodes) 25.562 * * [simplify]: iters left: 5 (48 enodes) 25.578 * * [simplify]: iters left: 4 (78 enodes) 25.603 * * [simplify]: iters left: 3 (120 enodes) 25.635 * * [simplify]: iters left: 2 (211 enodes) 25.692 * * [simplify]: iters left: 1 (378 enodes) 25.844 * * [simplify]: Extracting #0: cost 1 inf + 0 25.844 * * [simplify]: Extracting #1: cost 4 inf + 0 25.845 * * [simplify]: Extracting #2: cost 28 inf + 0 25.845 * * [simplify]: Extracting #3: cost 111 inf + 1 25.845 * * [simplify]: Extracting #4: cost 151 inf + 220 25.846 * * [simplify]: Extracting #5: cost 149 inf + 601 25.848 * * [simplify]: Extracting #6: cost 109 inf + 5630 25.852 * * [simplify]: Extracting #7: cost 43 inf + 25793 25.861 * * [simplify]: Extracting #8: cost 5 inf + 52343 25.872 * * [simplify]: Extracting #9: cost 0 inf + 56629 25.882 * * [simplify]: Extracting #10: cost 0 inf + 55972 25.893 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 25.893 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 25.893 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 25.893 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 25.894 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 25.894 * * [simplify]: iters left: 6 (11 enodes) 25.901 * * [simplify]: iters left: 5 (51 enodes) 25.920 * * [simplify]: iters left: 4 (87 enodes) 25.953 * * [simplify]: iters left: 3 (143 enodes) 26.003 * * [simplify]: iters left: 2 (259 enodes) 26.072 * * [simplify]: iters left: 1 (467 enodes) 26.224 * * [simplify]: Extracting #0: cost 1 inf + 0 26.224 * * [simplify]: Extracting #1: cost 23 inf + 0 26.225 * * [simplify]: Extracting #2: cost 99 inf + 1 26.226 * * [simplify]: Extracting #3: cost 180 inf + 178 26.227 * * [simplify]: Extracting #4: cost 162 inf + 2505 26.230 * * [simplify]: Extracting #5: cost 78 inf + 12096 26.236 * * [simplify]: Extracting #6: cost 33 inf + 29460 26.246 * * [simplify]: Extracting #7: cost 1 inf + 56926 26.256 * * [simplify]: Extracting #8: cost 0 inf + 57804 26.266 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.266 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 26.266 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 26.267 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 26.267 * * [simplify]: iters left: 5 (8 enodes) 26.271 * * [simplify]: iters left: 4 (35 enodes) 26.290 * * [simplify]: iters left: 3 (63 enodes) 26.313 * * [simplify]: iters left: 2 (108 enodes) 26.346 * * [simplify]: iters left: 1 (162 enodes) 26.379 * * [simplify]: Extracting #0: cost 1 inf + 0 26.379 * * [simplify]: Extracting #1: cost 12 inf + 0 26.380 * * [simplify]: Extracting #2: cost 40 inf + 2 26.380 * * [simplify]: Extracting #3: cost 40 inf + 9 26.381 * * [simplify]: Extracting #4: cost 25 inf + 2233 26.383 * * [simplify]: Extracting #5: cost 10 inf + 8991 26.386 * * [simplify]: Extracting #6: cost 0 inf + 14572 26.389 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 26.389 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 26.389 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 26.389 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 26.390 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 26.390 * * [simplify]: iters left: 6 (37 enodes) 26.414 * * [simplify]: iters left: 5 (187 enodes) 26.475 * * [simplify]: iters left: 4 (488 enodes) 26.684 * * [simplify]: Extracting #0: cost 1 inf + 0 26.684 * * [simplify]: Extracting #1: cost 57 inf + 0 26.691 * * [simplify]: Extracting #2: cost 294 inf + 0 26.695 * * [simplify]: Extracting #3: cost 524 inf + 199 26.700 * * [simplify]: Extracting #4: cost 512 inf + 6095 26.714 * * [simplify]: Extracting #5: cost 310 inf + 78036 26.791 * * [simplify]: Extracting #6: cost 40 inf + 220622 26.886 * * [simplify]: Extracting #7: cost 0 inf + 244981 26.958 * * [simplify]: Extracting #8: cost 0 inf + 243455 27.063 * * [simplify]: Extracting #9: cost 0 inf + 243454 27.117 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 27.117 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 27.117 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 27.118 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 27.118 * * [simplify]: iters left: 6 (15 enodes) 27.123 * * [simplify]: iters left: 5 (65 enodes) 27.136 * * [simplify]: iters left: 4 (123 enodes) 27.174 * * [simplify]: iters left: 3 (361 enodes) 27.303 * * [simplify]: Extracting #0: cost 1 inf + 0 27.304 * * [simplify]: Extracting #1: cost 37 inf + 0 27.305 * * [simplify]: Extracting #2: cost 213 inf + 72 27.307 * * [simplify]: Extracting #3: cost 350 inf + 1716 27.316 * * [simplify]: Extracting #4: cost 221 inf + 30028 27.333 * * [simplify]: Extracting #5: cost 33 inf + 78046 27.348 * * [simplify]: Extracting #6: cost 1 inf + 88785 27.371 * * [simplify]: Extracting #7: cost 0 inf + 88926 27.406 * * [simplify]: Extracting #8: cost 0 inf + 88841 27.438 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.438 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.438 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 27.438 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.438 * * [simplify]: iters left: 6 (16 enodes) 27.448 * * [simplify]: iters left: 5 (67 enodes) 27.473 * * [simplify]: iters left: 4 (134 enodes) 27.532 * * [simplify]: iters left: 3 (407 enodes) 27.707 * * [simplify]: Extracting #0: cost 1 inf + 0 27.708 * * [simplify]: Extracting #1: cost 39 inf + 0 27.708 * * [simplify]: Extracting #2: cost 241 inf + 72 27.710 * * [simplify]: Extracting #3: cost 449 inf + 888 27.716 * * [simplify]: Extracting #4: cost 283 inf + 39678 27.734 * * [simplify]: Extracting #5: cost 24 inf + 116942 27.756 * * [simplify]: Extracting #6: cost 0 inf + 121984 27.797 * * [simplify]: Extracting #7: cost 0 inf + 121983 27.819 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.819 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 27.820 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 27.820 * [simplify]: Simplifying (* 2 (* n PI)) 27.820 * * [simplify]: iters left: 4 (5 enodes) 27.821 * * [simplify]: iters left: 3 (19 enodes) 27.824 * * [simplify]: iters left: 2 (27 enodes) 27.828 * * [simplify]: iters left: 1 (32 enodes) 27.832 * * [simplify]: Extracting #0: cost 1 inf + 0 27.832 * * [simplify]: Extracting #1: cost 8 inf + 0 27.832 * * [simplify]: Extracting #2: cost 7 inf + 45 27.832 * * [simplify]: Extracting #3: cost 0 inf + 421 27.832 * [simplify]: Simplified to (* (* PI n) 2) 27.833 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.833 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 27.833 * [simplify]: Simplifying (* 2 (* n PI)) 27.833 * * [simplify]: iters left: 4 (5 enodes) 27.834 * * [simplify]: iters left: 3 (19 enodes) 27.837 * * [simplify]: iters left: 2 (27 enodes) 27.841 * * [simplify]: iters left: 1 (32 enodes) 27.845 * * [simplify]: Extracting #0: cost 1 inf + 0 27.845 * * [simplify]: Extracting #1: cost 8 inf + 0 27.845 * * [simplify]: Extracting #2: cost 7 inf + 45 27.845 * * [simplify]: Extracting #3: cost 0 inf + 421 27.845 * [simplify]: Simplified to (* (* PI n) 2) 27.846 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.846 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 27.846 * [simplify]: Simplifying (* 2 (* n PI)) 27.846 * * [simplify]: iters left: 4 (5 enodes) 27.847 * * [simplify]: iters left: 3 (19 enodes) 27.850 * * [simplify]: iters left: 2 (27 enodes) 27.854 * * [simplify]: iters left: 1 (32 enodes) 27.859 * * [simplify]: Extracting #0: cost 1 inf + 0 27.859 * * [simplify]: Extracting #1: cost 8 inf + 0 27.859 * * [simplify]: Extracting #2: cost 7 inf + 45 27.859 * * [simplify]: Extracting #3: cost 0 inf + 421 27.859 * [simplify]: Simplified to (* (* PI n) 2) 27.859 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.859 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 27.859 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 27.859 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.860 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 27.860 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 27.860 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.860 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 27.860 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 27.860 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.861 * * * [progress]: adding candidates to table 29.169 * * [progress]: iteration 2 / 4 29.169 * * * [progress]: picking best candidate 29.216 * * * * [pick]: Picked # 29.216 * * * [progress]: localizing error 29.239 * * * [progress]: generating rewritten candidates 29.239 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 29.272 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 29.277 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 29.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 29.330 * * * [progress]: generating series expansions 29.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 29.331 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 29.331 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 29.331 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.331 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.331 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.331 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.331 * [taylor]: Taking taylor expansion of 1/2 in k 29.331 * [backup-simplify]: Simplify 1/2 into 1/2 29.331 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.331 * [taylor]: Taking taylor expansion of 1 in k 29.331 * [backup-simplify]: Simplify 1 into 1 29.332 * [taylor]: Taking taylor expansion of k in k 29.332 * [backup-simplify]: Simplify 0 into 0 29.332 * [backup-simplify]: Simplify 1 into 1 29.332 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.332 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.332 * [taylor]: Taking taylor expansion of 2 in k 29.332 * [backup-simplify]: Simplify 2 into 2 29.332 * [taylor]: Taking taylor expansion of (* n PI) in k 29.332 * [taylor]: Taking taylor expansion of n in k 29.332 * [backup-simplify]: Simplify n into n 29.332 * [taylor]: Taking taylor expansion of PI in k 29.332 * [backup-simplify]: Simplify PI into PI 29.332 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.332 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.332 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.333 * [backup-simplify]: Simplify (- 0) into 0 29.333 * [backup-simplify]: Simplify (+ 1 0) into 1 29.334 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.334 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.334 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.334 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.334 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.334 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.334 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.334 * [taylor]: Taking taylor expansion of 1/2 in n 29.334 * [backup-simplify]: Simplify 1/2 into 1/2 29.334 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.334 * [taylor]: Taking taylor expansion of 1 in n 29.334 * [backup-simplify]: Simplify 1 into 1 29.334 * [taylor]: Taking taylor expansion of k in n 29.334 * [backup-simplify]: Simplify k into k 29.334 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.334 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.334 * [taylor]: Taking taylor expansion of 2 in n 29.334 * [backup-simplify]: Simplify 2 into 2 29.334 * [taylor]: Taking taylor expansion of (* n PI) in n 29.334 * [taylor]: Taking taylor expansion of n in n 29.334 * [backup-simplify]: Simplify 0 into 0 29.334 * [backup-simplify]: Simplify 1 into 1 29.335 * [taylor]: Taking taylor expansion of PI in n 29.335 * [backup-simplify]: Simplify PI into PI 29.335 * [backup-simplify]: Simplify (* 0 PI) into 0 29.336 * [backup-simplify]: Simplify (* 2 0) into 0 29.337 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.339 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.340 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.340 * [backup-simplify]: Simplify (- k) into (- k) 29.340 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.340 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.349 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.350 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.350 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.350 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.350 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.350 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.350 * [taylor]: Taking taylor expansion of 1/2 in n 29.350 * [backup-simplify]: Simplify 1/2 into 1/2 29.350 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.350 * [taylor]: Taking taylor expansion of 1 in n 29.350 * [backup-simplify]: Simplify 1 into 1 29.350 * [taylor]: Taking taylor expansion of k in n 29.350 * [backup-simplify]: Simplify k into k 29.350 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.350 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.350 * [taylor]: Taking taylor expansion of 2 in n 29.350 * [backup-simplify]: Simplify 2 into 2 29.350 * [taylor]: Taking taylor expansion of (* n PI) in n 29.351 * [taylor]: Taking taylor expansion of n in n 29.351 * [backup-simplify]: Simplify 0 into 0 29.351 * [backup-simplify]: Simplify 1 into 1 29.351 * [taylor]: Taking taylor expansion of PI in n 29.351 * [backup-simplify]: Simplify PI into PI 29.351 * [backup-simplify]: Simplify (* 0 PI) into 0 29.352 * [backup-simplify]: Simplify (* 2 0) into 0 29.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.355 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.356 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.356 * [backup-simplify]: Simplify (- k) into (- k) 29.356 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.356 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.357 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.358 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.360 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.360 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.360 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.360 * [taylor]: Taking taylor expansion of 1/2 in k 29.360 * [backup-simplify]: Simplify 1/2 into 1/2 29.360 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.360 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.360 * [taylor]: Taking taylor expansion of 1 in k 29.360 * [backup-simplify]: Simplify 1 into 1 29.360 * [taylor]: Taking taylor expansion of k in k 29.360 * [backup-simplify]: Simplify 0 into 0 29.360 * [backup-simplify]: Simplify 1 into 1 29.360 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.360 * [taylor]: Taking taylor expansion of (log n) in k 29.360 * [taylor]: Taking taylor expansion of n in k 29.360 * [backup-simplify]: Simplify n into n 29.360 * [backup-simplify]: Simplify (log n) into (log n) 29.360 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.360 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.360 * [taylor]: Taking taylor expansion of 2 in k 29.360 * [backup-simplify]: Simplify 2 into 2 29.360 * [taylor]: Taking taylor expansion of PI in k 29.360 * [backup-simplify]: Simplify PI into PI 29.361 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.362 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.362 * [backup-simplify]: Simplify (- 0) into 0 29.363 * [backup-simplify]: Simplify (+ 1 0) into 1 29.364 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.365 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.366 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.366 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.367 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.369 * [backup-simplify]: Simplify (- 0) into 0 29.369 * [backup-simplify]: Simplify (+ 0 0) into 0 29.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.371 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.371 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.372 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.372 * [taylor]: Taking taylor expansion of 0 in k 29.372 * [backup-simplify]: Simplify 0 into 0 29.372 * [backup-simplify]: Simplify 0 into 0 29.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.373 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.375 * [backup-simplify]: Simplify (+ 0 0) into 0 29.375 * [backup-simplify]: Simplify (- 1) into -1 29.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.376 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.377 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 29.379 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.381 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.384 * [backup-simplify]: Simplify (- 0) into 0 29.384 * [backup-simplify]: Simplify (+ 0 0) into 0 29.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.386 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.386 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.388 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.388 * [taylor]: Taking taylor expansion of 0 in k 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [backup-simplify]: Simplify 0 into 0 29.388 * [backup-simplify]: Simplify 0 into 0 29.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.391 * [backup-simplify]: Simplify (+ 0 0) into 0 29.392 * [backup-simplify]: Simplify (- 0) into 0 29.392 * [backup-simplify]: Simplify (+ 0 0) into 0 29.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.397 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.400 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.405 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 29.406 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 29.406 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 29.406 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.406 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.406 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.406 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.406 * [taylor]: Taking taylor expansion of 1/2 in k 29.406 * [backup-simplify]: Simplify 1/2 into 1/2 29.406 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.406 * [taylor]: Taking taylor expansion of 1 in k 29.406 * [backup-simplify]: Simplify 1 into 1 29.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.406 * [taylor]: Taking taylor expansion of k in k 29.406 * [backup-simplify]: Simplify 0 into 0 29.406 * [backup-simplify]: Simplify 1 into 1 29.406 * [backup-simplify]: Simplify (/ 1 1) into 1 29.406 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.406 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.406 * [taylor]: Taking taylor expansion of 2 in k 29.406 * [backup-simplify]: Simplify 2 into 2 29.406 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.406 * [taylor]: Taking taylor expansion of PI in k 29.406 * [backup-simplify]: Simplify PI into PI 29.406 * [taylor]: Taking taylor expansion of n in k 29.406 * [backup-simplify]: Simplify n into n 29.406 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.406 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.407 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.407 * [backup-simplify]: Simplify (- 1) into -1 29.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.407 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.408 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.408 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.408 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.408 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.408 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.408 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.408 * [taylor]: Taking taylor expansion of 1/2 in n 29.408 * [backup-simplify]: Simplify 1/2 into 1/2 29.408 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.408 * [taylor]: Taking taylor expansion of 1 in n 29.408 * [backup-simplify]: Simplify 1 into 1 29.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.408 * [taylor]: Taking taylor expansion of k in n 29.408 * [backup-simplify]: Simplify k into k 29.408 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.408 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.408 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.408 * [taylor]: Taking taylor expansion of 2 in n 29.408 * [backup-simplify]: Simplify 2 into 2 29.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.408 * [taylor]: Taking taylor expansion of PI in n 29.408 * [backup-simplify]: Simplify PI into PI 29.408 * [taylor]: Taking taylor expansion of n in n 29.408 * [backup-simplify]: Simplify 0 into 0 29.408 * [backup-simplify]: Simplify 1 into 1 29.408 * [backup-simplify]: Simplify (/ PI 1) into PI 29.409 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.409 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.409 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.409 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.409 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.410 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.411 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.412 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.412 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.412 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.412 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.412 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.412 * [taylor]: Taking taylor expansion of 1/2 in n 29.412 * [backup-simplify]: Simplify 1/2 into 1/2 29.412 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.412 * [taylor]: Taking taylor expansion of 1 in n 29.412 * [backup-simplify]: Simplify 1 into 1 29.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.412 * [taylor]: Taking taylor expansion of k in n 29.412 * [backup-simplify]: Simplify k into k 29.412 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.412 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.412 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.413 * [taylor]: Taking taylor expansion of 2 in n 29.413 * [backup-simplify]: Simplify 2 into 2 29.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.413 * [taylor]: Taking taylor expansion of PI in n 29.413 * [backup-simplify]: Simplify PI into PI 29.413 * [taylor]: Taking taylor expansion of n in n 29.413 * [backup-simplify]: Simplify 0 into 0 29.413 * [backup-simplify]: Simplify 1 into 1 29.413 * [backup-simplify]: Simplify (/ PI 1) into PI 29.413 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.414 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.414 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.414 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.414 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.416 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.416 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.417 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.417 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.417 * [taylor]: Taking taylor expansion of 1/2 in k 29.417 * [backup-simplify]: Simplify 1/2 into 1/2 29.417 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.417 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.417 * [taylor]: Taking taylor expansion of 1 in k 29.417 * [backup-simplify]: Simplify 1 into 1 29.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.417 * [taylor]: Taking taylor expansion of k in k 29.417 * [backup-simplify]: Simplify 0 into 0 29.417 * [backup-simplify]: Simplify 1 into 1 29.417 * [backup-simplify]: Simplify (/ 1 1) into 1 29.417 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.417 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.417 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.417 * [taylor]: Taking taylor expansion of 2 in k 29.417 * [backup-simplify]: Simplify 2 into 2 29.417 * [taylor]: Taking taylor expansion of PI in k 29.417 * [backup-simplify]: Simplify PI into PI 29.418 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.418 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.418 * [taylor]: Taking taylor expansion of (log n) in k 29.419 * [taylor]: Taking taylor expansion of n in k 29.419 * [backup-simplify]: Simplify n into n 29.419 * [backup-simplify]: Simplify (log n) into (log n) 29.419 * [backup-simplify]: Simplify (- 1) into -1 29.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.419 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.420 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.421 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.422 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.424 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.425 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.427 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.429 * [backup-simplify]: Simplify (- 0) into 0 29.430 * [backup-simplify]: Simplify (+ 0 0) into 0 29.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.432 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.435 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.435 * [taylor]: Taking taylor expansion of 0 in k 29.435 * [backup-simplify]: Simplify 0 into 0 29.435 * [backup-simplify]: Simplify 0 into 0 29.435 * [backup-simplify]: Simplify 0 into 0 29.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.441 * [backup-simplify]: Simplify (- 0) into 0 29.442 * [backup-simplify]: Simplify (+ 0 0) into 0 29.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.446 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.448 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.448 * [taylor]: Taking taylor expansion of 0 in k 29.448 * [backup-simplify]: Simplify 0 into 0 29.448 * [backup-simplify]: Simplify 0 into 0 29.448 * [backup-simplify]: Simplify 0 into 0 29.448 * [backup-simplify]: Simplify 0 into 0 29.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.462 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.463 * [backup-simplify]: Simplify (- 0) into 0 29.463 * [backup-simplify]: Simplify (+ 0 0) into 0 29.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.465 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.467 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.468 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.468 * [taylor]: Taking taylor expansion of 0 in k 29.468 * [backup-simplify]: Simplify 0 into 0 29.468 * [backup-simplify]: Simplify 0 into 0 29.469 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 29.470 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 29.470 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 29.470 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.470 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.470 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.470 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.470 * [taylor]: Taking taylor expansion of 1/2 in k 29.470 * [backup-simplify]: Simplify 1/2 into 1/2 29.470 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.470 * [taylor]: Taking taylor expansion of k in k 29.470 * [backup-simplify]: Simplify 0 into 0 29.470 * [backup-simplify]: Simplify 1 into 1 29.470 * [backup-simplify]: Simplify (/ 1 1) into 1 29.470 * [taylor]: Taking taylor expansion of 1 in k 29.470 * [backup-simplify]: Simplify 1 into 1 29.470 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.470 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.470 * [taylor]: Taking taylor expansion of -2 in k 29.470 * [backup-simplify]: Simplify -2 into -2 29.470 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.470 * [taylor]: Taking taylor expansion of PI in k 29.470 * [backup-simplify]: Simplify PI into PI 29.470 * [taylor]: Taking taylor expansion of n in k 29.470 * [backup-simplify]: Simplify n into n 29.470 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.470 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.470 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.471 * [backup-simplify]: Simplify (+ 1 0) into 1 29.471 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.471 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.471 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.471 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.471 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.471 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.471 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.471 * [taylor]: Taking taylor expansion of 1/2 in n 29.471 * [backup-simplify]: Simplify 1/2 into 1/2 29.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.471 * [taylor]: Taking taylor expansion of k in n 29.471 * [backup-simplify]: Simplify k into k 29.471 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.471 * [taylor]: Taking taylor expansion of 1 in n 29.471 * [backup-simplify]: Simplify 1 into 1 29.471 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.471 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.471 * [taylor]: Taking taylor expansion of -2 in n 29.471 * [backup-simplify]: Simplify -2 into -2 29.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.471 * [taylor]: Taking taylor expansion of PI in n 29.471 * [backup-simplify]: Simplify PI into PI 29.471 * [taylor]: Taking taylor expansion of n in n 29.471 * [backup-simplify]: Simplify 0 into 0 29.472 * [backup-simplify]: Simplify 1 into 1 29.472 * [backup-simplify]: Simplify (/ PI 1) into PI 29.472 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.473 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.473 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.473 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.474 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.475 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.475 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.475 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.475 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.475 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.475 * [taylor]: Taking taylor expansion of 1/2 in n 29.475 * [backup-simplify]: Simplify 1/2 into 1/2 29.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.475 * [taylor]: Taking taylor expansion of k in n 29.475 * [backup-simplify]: Simplify k into k 29.475 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.475 * [taylor]: Taking taylor expansion of 1 in n 29.475 * [backup-simplify]: Simplify 1 into 1 29.475 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.475 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.475 * [taylor]: Taking taylor expansion of -2 in n 29.475 * [backup-simplify]: Simplify -2 into -2 29.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.475 * [taylor]: Taking taylor expansion of PI in n 29.475 * [backup-simplify]: Simplify PI into PI 29.475 * [taylor]: Taking taylor expansion of n in n 29.475 * [backup-simplify]: Simplify 0 into 0 29.475 * [backup-simplify]: Simplify 1 into 1 29.476 * [backup-simplify]: Simplify (/ PI 1) into PI 29.476 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.477 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.477 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.477 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.478 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.479 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.480 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.480 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.480 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.480 * [taylor]: Taking taylor expansion of 1/2 in k 29.480 * [backup-simplify]: Simplify 1/2 into 1/2 29.480 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.480 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.480 * [taylor]: Taking taylor expansion of k in k 29.480 * [backup-simplify]: Simplify 0 into 0 29.480 * [backup-simplify]: Simplify 1 into 1 29.480 * [backup-simplify]: Simplify (/ 1 1) into 1 29.480 * [taylor]: Taking taylor expansion of 1 in k 29.480 * [backup-simplify]: Simplify 1 into 1 29.480 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.480 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.480 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.480 * [taylor]: Taking taylor expansion of -2 in k 29.480 * [backup-simplify]: Simplify -2 into -2 29.481 * [taylor]: Taking taylor expansion of PI in k 29.481 * [backup-simplify]: Simplify PI into PI 29.481 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.482 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.482 * [taylor]: Taking taylor expansion of (log n) in k 29.482 * [taylor]: Taking taylor expansion of n in k 29.482 * [backup-simplify]: Simplify n into n 29.482 * [backup-simplify]: Simplify (log n) into (log n) 29.482 * [backup-simplify]: Simplify (+ 1 0) into 1 29.482 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.483 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.483 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.484 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.484 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.485 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.486 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.487 * [backup-simplify]: Simplify (+ 0 0) into 0 29.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.490 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.491 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.491 * [taylor]: Taking taylor expansion of 0 in k 29.491 * [backup-simplify]: Simplify 0 into 0 29.491 * [backup-simplify]: Simplify 0 into 0 29.491 * [backup-simplify]: Simplify 0 into 0 29.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.492 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.494 * [backup-simplify]: Simplify (+ 0 0) into 0 29.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.496 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.496 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.498 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.498 * [taylor]: Taking taylor expansion of 0 in k 29.498 * [backup-simplify]: Simplify 0 into 0 29.498 * [backup-simplify]: Simplify 0 into 0 29.498 * [backup-simplify]: Simplify 0 into 0 29.498 * [backup-simplify]: Simplify 0 into 0 29.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.499 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.502 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 29.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.503 * [backup-simplify]: Simplify (+ 0 0) into 0 29.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 29.504 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.506 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 29.507 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.507 * [taylor]: Taking taylor expansion of 0 in k 29.507 * [backup-simplify]: Simplify 0 into 0 29.507 * [backup-simplify]: Simplify 0 into 0 29.508 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 29.508 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 29.508 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 29.508 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 29.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.508 * [taylor]: Taking taylor expansion of k in k 29.508 * [backup-simplify]: Simplify 0 into 0 29.508 * [backup-simplify]: Simplify 1 into 1 29.508 * [backup-simplify]: Simplify (/ 1 1) into 1 29.509 * [backup-simplify]: Simplify (sqrt 0) into 0 29.510 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.510 * [taylor]: Taking taylor expansion of k in k 29.510 * [backup-simplify]: Simplify 0 into 0 29.510 * [backup-simplify]: Simplify 1 into 1 29.510 * [backup-simplify]: Simplify (/ 1 1) into 1 29.510 * [backup-simplify]: Simplify (sqrt 0) into 0 29.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.511 * [backup-simplify]: Simplify 0 into 0 29.511 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.513 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.516 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.516 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 29.516 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 29.516 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 29.516 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.516 * [taylor]: Taking taylor expansion of k in k 29.516 * [backup-simplify]: Simplify 0 into 0 29.516 * [backup-simplify]: Simplify 1 into 1 29.517 * [backup-simplify]: Simplify (sqrt 0) into 0 29.517 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.517 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.517 * [taylor]: Taking taylor expansion of k in k 29.517 * [backup-simplify]: Simplify 0 into 0 29.517 * [backup-simplify]: Simplify 1 into 1 29.518 * [backup-simplify]: Simplify (sqrt 0) into 0 29.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.519 * [backup-simplify]: Simplify 0 into 0 29.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.520 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.520 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.523 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.523 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 29.523 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 29.523 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 29.523 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.523 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.523 * [taylor]: Taking taylor expansion of -1 in k 29.523 * [backup-simplify]: Simplify -1 into -1 29.523 * [taylor]: Taking taylor expansion of k in k 29.523 * [backup-simplify]: Simplify 0 into 0 29.523 * [backup-simplify]: Simplify 1 into 1 29.523 * [backup-simplify]: Simplify (/ -1 1) into -1 29.524 * [backup-simplify]: Simplify (sqrt 0) into 0 29.524 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.525 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.525 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.525 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.525 * [taylor]: Taking taylor expansion of -1 in k 29.525 * [backup-simplify]: Simplify -1 into -1 29.525 * [taylor]: Taking taylor expansion of k in k 29.525 * [backup-simplify]: Simplify 0 into 0 29.525 * [backup-simplify]: Simplify 1 into 1 29.525 * [backup-simplify]: Simplify (/ -1 1) into -1 29.525 * [backup-simplify]: Simplify (sqrt 0) into 0 29.526 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.526 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.529 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.530 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 29.530 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.535 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 29.536 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.536 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 29.536 * * * * [progress]: [ 3 / 4 ] generating series at (2) 29.537 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 29.537 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 29.537 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.537 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.537 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.537 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.537 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.537 * [taylor]: Taking taylor expansion of 1/2 in k 29.537 * [backup-simplify]: Simplify 1/2 into 1/2 29.537 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.537 * [taylor]: Taking taylor expansion of 1 in k 29.537 * [backup-simplify]: Simplify 1 into 1 29.537 * [taylor]: Taking taylor expansion of k in k 29.537 * [backup-simplify]: Simplify 0 into 0 29.537 * [backup-simplify]: Simplify 1 into 1 29.537 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.537 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.537 * [taylor]: Taking taylor expansion of 2 in k 29.537 * [backup-simplify]: Simplify 2 into 2 29.537 * [taylor]: Taking taylor expansion of (* n PI) in k 29.537 * [taylor]: Taking taylor expansion of n in k 29.537 * [backup-simplify]: Simplify n into n 29.537 * [taylor]: Taking taylor expansion of PI in k 29.537 * [backup-simplify]: Simplify PI into PI 29.537 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.537 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.537 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.537 * [backup-simplify]: Simplify (- 0) into 0 29.538 * [backup-simplify]: Simplify (+ 1 0) into 1 29.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.538 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.538 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.538 * [taylor]: Taking taylor expansion of k in k 29.538 * [backup-simplify]: Simplify 0 into 0 29.538 * [backup-simplify]: Simplify 1 into 1 29.538 * [backup-simplify]: Simplify (/ 1 1) into 1 29.539 * [backup-simplify]: Simplify (sqrt 0) into 0 29.539 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.539 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.540 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.540 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.540 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.540 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.540 * [taylor]: Taking taylor expansion of 1/2 in n 29.540 * [backup-simplify]: Simplify 1/2 into 1/2 29.540 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.540 * [taylor]: Taking taylor expansion of 1 in n 29.540 * [backup-simplify]: Simplify 1 into 1 29.540 * [taylor]: Taking taylor expansion of k in n 29.540 * [backup-simplify]: Simplify k into k 29.540 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.540 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.540 * [taylor]: Taking taylor expansion of 2 in n 29.540 * [backup-simplify]: Simplify 2 into 2 29.540 * [taylor]: Taking taylor expansion of (* n PI) in n 29.540 * [taylor]: Taking taylor expansion of n in n 29.540 * [backup-simplify]: Simplify 0 into 0 29.540 * [backup-simplify]: Simplify 1 into 1 29.540 * [taylor]: Taking taylor expansion of PI in n 29.540 * [backup-simplify]: Simplify PI into PI 29.540 * [backup-simplify]: Simplify (* 0 PI) into 0 29.540 * [backup-simplify]: Simplify (* 2 0) into 0 29.541 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.542 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.543 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.543 * [backup-simplify]: Simplify (- k) into (- k) 29.543 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.543 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.544 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.544 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.545 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.545 * [taylor]: Taking taylor expansion of k in n 29.545 * [backup-simplify]: Simplify k into k 29.545 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.545 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.545 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.545 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.545 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.545 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.545 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.546 * [taylor]: Taking taylor expansion of 1/2 in n 29.546 * [backup-simplify]: Simplify 1/2 into 1/2 29.546 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.546 * [taylor]: Taking taylor expansion of 1 in n 29.546 * [backup-simplify]: Simplify 1 into 1 29.546 * [taylor]: Taking taylor expansion of k in n 29.546 * [backup-simplify]: Simplify k into k 29.546 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.546 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.546 * [taylor]: Taking taylor expansion of 2 in n 29.546 * [backup-simplify]: Simplify 2 into 2 29.546 * [taylor]: Taking taylor expansion of (* n PI) in n 29.546 * [taylor]: Taking taylor expansion of n in n 29.546 * [backup-simplify]: Simplify 0 into 0 29.546 * [backup-simplify]: Simplify 1 into 1 29.546 * [taylor]: Taking taylor expansion of PI in n 29.546 * [backup-simplify]: Simplify PI into PI 29.546 * [backup-simplify]: Simplify (* 0 PI) into 0 29.546 * [backup-simplify]: Simplify (* 2 0) into 0 29.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.548 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.554 * [backup-simplify]: Simplify (- k) into (- k) 29.554 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.554 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.555 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.556 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.556 * [taylor]: Taking taylor expansion of k in n 29.556 * [backup-simplify]: Simplify k into k 29.556 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.556 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.557 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 29.557 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 29.557 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.557 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.557 * [taylor]: Taking taylor expansion of 1/2 in k 29.557 * [backup-simplify]: Simplify 1/2 into 1/2 29.557 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.557 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.557 * [taylor]: Taking taylor expansion of 1 in k 29.557 * [backup-simplify]: Simplify 1 into 1 29.557 * [taylor]: Taking taylor expansion of k in k 29.557 * [backup-simplify]: Simplify 0 into 0 29.557 * [backup-simplify]: Simplify 1 into 1 29.557 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.557 * [taylor]: Taking taylor expansion of (log n) in k 29.557 * [taylor]: Taking taylor expansion of n in k 29.558 * [backup-simplify]: Simplify n into n 29.558 * [backup-simplify]: Simplify (log n) into (log n) 29.558 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.558 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.558 * [taylor]: Taking taylor expansion of 2 in k 29.558 * [backup-simplify]: Simplify 2 into 2 29.558 * [taylor]: Taking taylor expansion of PI in k 29.558 * [backup-simplify]: Simplify PI into PI 29.558 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.559 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.559 * [backup-simplify]: Simplify (- 0) into 0 29.559 * [backup-simplify]: Simplify (+ 1 0) into 1 29.560 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.560 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.561 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.562 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.562 * [taylor]: Taking taylor expansion of k in k 29.562 * [backup-simplify]: Simplify 0 into 0 29.562 * [backup-simplify]: Simplify 1 into 1 29.562 * [backup-simplify]: Simplify (/ 1 1) into 1 29.562 * [backup-simplify]: Simplify (sqrt 0) into 0 29.563 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.564 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 29.564 * [backup-simplify]: Simplify 0 into 0 29.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.565 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.567 * [backup-simplify]: Simplify (- 0) into 0 29.567 * [backup-simplify]: Simplify (+ 0 0) into 0 29.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.568 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.569 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.570 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.570 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 29.570 * [taylor]: Taking taylor expansion of 0 in k 29.570 * [backup-simplify]: Simplify 0 into 0 29.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.573 * [backup-simplify]: Simplify (+ 0 0) into 0 29.573 * [backup-simplify]: Simplify (- 1) into -1 29.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.575 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.577 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 29.580 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.584 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.585 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.592 * [backup-simplify]: Simplify (- 0) into 0 29.593 * [backup-simplify]: Simplify (+ 0 0) into 0 29.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.597 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.600 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.601 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 29.602 * [taylor]: Taking taylor expansion of 0 in k 29.602 * [backup-simplify]: Simplify 0 into 0 29.602 * [backup-simplify]: Simplify 0 into 0 29.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.606 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.612 * [backup-simplify]: Simplify (+ 0 0) into 0 29.612 * [backup-simplify]: Simplify (- 0) into 0 29.613 * [backup-simplify]: Simplify (+ 0 0) into 0 29.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.620 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.629 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.632 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 29.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.637 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.638 * [backup-simplify]: Simplify (- 0) into 0 29.638 * [backup-simplify]: Simplify (+ 0 0) into 0 29.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 29.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.640 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.642 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.643 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 29.643 * [taylor]: Taking taylor expansion of 0 in k 29.643 * [backup-simplify]: Simplify 0 into 0 29.643 * [backup-simplify]: Simplify 0 into 0 29.643 * [backup-simplify]: Simplify 0 into 0 29.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.648 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 29.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.651 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.652 * [backup-simplify]: Simplify (+ 0 0) into 0 29.652 * [backup-simplify]: Simplify (- 0) into 0 29.652 * [backup-simplify]: Simplify (+ 0 0) into 0 29.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.665 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.680 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.691 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.708 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 29.709 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 29.709 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 29.709 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.709 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.709 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.709 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.710 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.710 * [taylor]: Taking taylor expansion of 1/2 in k 29.710 * [backup-simplify]: Simplify 1/2 into 1/2 29.710 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.710 * [taylor]: Taking taylor expansion of 1 in k 29.710 * [backup-simplify]: Simplify 1 into 1 29.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.710 * [taylor]: Taking taylor expansion of k in k 29.710 * [backup-simplify]: Simplify 0 into 0 29.710 * [backup-simplify]: Simplify 1 into 1 29.710 * [backup-simplify]: Simplify (/ 1 1) into 1 29.710 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.710 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.710 * [taylor]: Taking taylor expansion of 2 in k 29.710 * [backup-simplify]: Simplify 2 into 2 29.710 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.710 * [taylor]: Taking taylor expansion of PI in k 29.710 * [backup-simplify]: Simplify PI into PI 29.710 * [taylor]: Taking taylor expansion of n in k 29.710 * [backup-simplify]: Simplify n into n 29.710 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.711 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.711 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.711 * [backup-simplify]: Simplify (- 1) into -1 29.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.712 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.712 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.712 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.712 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.712 * [taylor]: Taking taylor expansion of k in k 29.712 * [backup-simplify]: Simplify 0 into 0 29.712 * [backup-simplify]: Simplify 1 into 1 29.713 * [backup-simplify]: Simplify (sqrt 0) into 0 29.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.714 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.714 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.714 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.714 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.714 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.714 * [taylor]: Taking taylor expansion of 1/2 in n 29.714 * [backup-simplify]: Simplify 1/2 into 1/2 29.714 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.714 * [taylor]: Taking taylor expansion of 1 in n 29.714 * [backup-simplify]: Simplify 1 into 1 29.714 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.714 * [taylor]: Taking taylor expansion of k in n 29.714 * [backup-simplify]: Simplify k into k 29.714 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.714 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.714 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.714 * [taylor]: Taking taylor expansion of 2 in n 29.714 * [backup-simplify]: Simplify 2 into 2 29.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.714 * [taylor]: Taking taylor expansion of PI in n 29.714 * [backup-simplify]: Simplify PI into PI 29.714 * [taylor]: Taking taylor expansion of n in n 29.714 * [backup-simplify]: Simplify 0 into 0 29.714 * [backup-simplify]: Simplify 1 into 1 29.714 * [backup-simplify]: Simplify (/ PI 1) into PI 29.715 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.715 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.715 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.715 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.716 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.717 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.718 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.718 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.718 * [taylor]: Taking taylor expansion of k in n 29.718 * [backup-simplify]: Simplify k into k 29.718 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.718 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.718 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.718 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.718 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.718 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.718 * [taylor]: Taking taylor expansion of 1/2 in n 29.718 * [backup-simplify]: Simplify 1/2 into 1/2 29.718 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.718 * [taylor]: Taking taylor expansion of 1 in n 29.718 * [backup-simplify]: Simplify 1 into 1 29.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.718 * [taylor]: Taking taylor expansion of k in n 29.718 * [backup-simplify]: Simplify k into k 29.718 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.718 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.718 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.718 * [taylor]: Taking taylor expansion of 2 in n 29.718 * [backup-simplify]: Simplify 2 into 2 29.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.718 * [taylor]: Taking taylor expansion of PI in n 29.718 * [backup-simplify]: Simplify PI into PI 29.718 * [taylor]: Taking taylor expansion of n in n 29.718 * [backup-simplify]: Simplify 0 into 0 29.718 * [backup-simplify]: Simplify 1 into 1 29.718 * [backup-simplify]: Simplify (/ PI 1) into PI 29.719 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.720 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.720 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.720 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.720 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.721 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.722 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.722 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.722 * [taylor]: Taking taylor expansion of k in n 29.722 * [backup-simplify]: Simplify k into k 29.722 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.723 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 29.723 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 29.723 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.723 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.723 * [taylor]: Taking taylor expansion of 1/2 in k 29.723 * [backup-simplify]: Simplify 1/2 into 1/2 29.723 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.723 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.723 * [taylor]: Taking taylor expansion of 1 in k 29.723 * [backup-simplify]: Simplify 1 into 1 29.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.723 * [taylor]: Taking taylor expansion of k in k 29.723 * [backup-simplify]: Simplify 0 into 0 29.723 * [backup-simplify]: Simplify 1 into 1 29.723 * [backup-simplify]: Simplify (/ 1 1) into 1 29.723 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.723 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.723 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.723 * [taylor]: Taking taylor expansion of 2 in k 29.723 * [backup-simplify]: Simplify 2 into 2 29.723 * [taylor]: Taking taylor expansion of PI in k 29.723 * [backup-simplify]: Simplify PI into PI 29.724 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.724 * [taylor]: Taking taylor expansion of (log n) in k 29.724 * [taylor]: Taking taylor expansion of n in k 29.724 * [backup-simplify]: Simplify n into n 29.724 * [backup-simplify]: Simplify (log n) into (log n) 29.724 * [backup-simplify]: Simplify (- 1) into -1 29.725 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.725 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.725 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.726 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.727 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.727 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.727 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.727 * [taylor]: Taking taylor expansion of k in k 29.727 * [backup-simplify]: Simplify 0 into 0 29.727 * [backup-simplify]: Simplify 1 into 1 29.728 * [backup-simplify]: Simplify (sqrt 0) into 0 29.728 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.729 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 29.729 * [backup-simplify]: Simplify 0 into 0 29.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.731 * [backup-simplify]: Simplify (- 0) into 0 29.732 * [backup-simplify]: Simplify (+ 0 0) into 0 29.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.734 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.735 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.735 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 29.735 * [taylor]: Taking taylor expansion of 0 in k 29.735 * [backup-simplify]: Simplify 0 into 0 29.735 * [backup-simplify]: Simplify 0 into 0 29.736 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.737 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.741 * [backup-simplify]: Simplify (- 0) into 0 29.741 * [backup-simplify]: Simplify (+ 0 0) into 0 29.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.745 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.747 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.749 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 29.749 * [taylor]: Taking taylor expansion of 0 in k 29.749 * [backup-simplify]: Simplify 0 into 0 29.749 * [backup-simplify]: Simplify 0 into 0 29.749 * [backup-simplify]: Simplify 0 into 0 29.752 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.754 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.755 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 29.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.763 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.764 * [backup-simplify]: Simplify (- 0) into 0 29.764 * [backup-simplify]: Simplify (+ 0 0) into 0 29.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.767 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.768 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.770 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 29.770 * [taylor]: Taking taylor expansion of 0 in k 29.770 * [backup-simplify]: Simplify 0 into 0 29.770 * [backup-simplify]: Simplify 0 into 0 29.770 * [backup-simplify]: Simplify 0 into 0 29.770 * [backup-simplify]: Simplify 0 into 0 29.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.778 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.779 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.781 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 29.782 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 29.782 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 29.782 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.782 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.782 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.782 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.782 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.782 * [taylor]: Taking taylor expansion of 1/2 in k 29.782 * [backup-simplify]: Simplify 1/2 into 1/2 29.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.782 * [taylor]: Taking taylor expansion of k in k 29.782 * [backup-simplify]: Simplify 0 into 0 29.782 * [backup-simplify]: Simplify 1 into 1 29.782 * [backup-simplify]: Simplify (/ 1 1) into 1 29.782 * [taylor]: Taking taylor expansion of 1 in k 29.782 * [backup-simplify]: Simplify 1 into 1 29.782 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.782 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.782 * [taylor]: Taking taylor expansion of -2 in k 29.782 * [backup-simplify]: Simplify -2 into -2 29.782 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.782 * [taylor]: Taking taylor expansion of PI in k 29.782 * [backup-simplify]: Simplify PI into PI 29.782 * [taylor]: Taking taylor expansion of n in k 29.782 * [backup-simplify]: Simplify n into n 29.783 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.783 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.783 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.783 * [backup-simplify]: Simplify (+ 1 0) into 1 29.783 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.783 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.783 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.783 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.783 * [taylor]: Taking taylor expansion of -1 in k 29.783 * [backup-simplify]: Simplify -1 into -1 29.783 * [taylor]: Taking taylor expansion of k in k 29.783 * [backup-simplify]: Simplify 0 into 0 29.783 * [backup-simplify]: Simplify 1 into 1 29.784 * [backup-simplify]: Simplify (/ -1 1) into -1 29.784 * [backup-simplify]: Simplify (sqrt 0) into 0 29.785 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.785 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 29.785 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.785 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.785 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.785 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.785 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.785 * [taylor]: Taking taylor expansion of 1/2 in n 29.785 * [backup-simplify]: Simplify 1/2 into 1/2 29.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.785 * [taylor]: Taking taylor expansion of k in n 29.785 * [backup-simplify]: Simplify k into k 29.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.785 * [taylor]: Taking taylor expansion of 1 in n 29.785 * [backup-simplify]: Simplify 1 into 1 29.785 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.785 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.785 * [taylor]: Taking taylor expansion of -2 in n 29.785 * [backup-simplify]: Simplify -2 into -2 29.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.785 * [taylor]: Taking taylor expansion of PI in n 29.785 * [backup-simplify]: Simplify PI into PI 29.785 * [taylor]: Taking taylor expansion of n in n 29.785 * [backup-simplify]: Simplify 0 into 0 29.785 * [backup-simplify]: Simplify 1 into 1 29.786 * [backup-simplify]: Simplify (/ PI 1) into PI 29.786 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.787 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.787 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.787 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.789 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.790 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.790 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.790 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.790 * [taylor]: Taking taylor expansion of -1 in n 29.790 * [backup-simplify]: Simplify -1 into -1 29.790 * [taylor]: Taking taylor expansion of k in n 29.790 * [backup-simplify]: Simplify k into k 29.790 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.790 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.790 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.791 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.791 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.791 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.791 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.791 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.791 * [taylor]: Taking taylor expansion of 1/2 in n 29.791 * [backup-simplify]: Simplify 1/2 into 1/2 29.791 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.791 * [taylor]: Taking taylor expansion of k in n 29.791 * [backup-simplify]: Simplify k into k 29.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.791 * [taylor]: Taking taylor expansion of 1 in n 29.791 * [backup-simplify]: Simplify 1 into 1 29.791 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.791 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.791 * [taylor]: Taking taylor expansion of -2 in n 29.791 * [backup-simplify]: Simplify -2 into -2 29.791 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.791 * [taylor]: Taking taylor expansion of PI in n 29.791 * [backup-simplify]: Simplify PI into PI 29.791 * [taylor]: Taking taylor expansion of n in n 29.791 * [backup-simplify]: Simplify 0 into 0 29.791 * [backup-simplify]: Simplify 1 into 1 29.791 * [backup-simplify]: Simplify (/ PI 1) into PI 29.792 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.792 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.792 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.792 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.794 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.796 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.796 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.796 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.796 * [taylor]: Taking taylor expansion of -1 in n 29.796 * [backup-simplify]: Simplify -1 into -1 29.796 * [taylor]: Taking taylor expansion of k in n 29.796 * [backup-simplify]: Simplify k into k 29.796 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.796 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.796 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.798 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.798 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 29.798 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.798 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.798 * [taylor]: Taking taylor expansion of 1/2 in k 29.798 * [backup-simplify]: Simplify 1/2 into 1/2 29.798 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.798 * [taylor]: Taking taylor expansion of k in k 29.798 * [backup-simplify]: Simplify 0 into 0 29.798 * [backup-simplify]: Simplify 1 into 1 29.799 * [backup-simplify]: Simplify (/ 1 1) into 1 29.799 * [taylor]: Taking taylor expansion of 1 in k 29.799 * [backup-simplify]: Simplify 1 into 1 29.799 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.799 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.799 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.799 * [taylor]: Taking taylor expansion of -2 in k 29.799 * [backup-simplify]: Simplify -2 into -2 29.799 * [taylor]: Taking taylor expansion of PI in k 29.799 * [backup-simplify]: Simplify PI into PI 29.799 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.800 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.800 * [taylor]: Taking taylor expansion of (log n) in k 29.800 * [taylor]: Taking taylor expansion of n in k 29.800 * [backup-simplify]: Simplify n into n 29.800 * [backup-simplify]: Simplify (log n) into (log n) 29.801 * [backup-simplify]: Simplify (+ 1 0) into 1 29.801 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.802 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.803 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.804 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.806 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.806 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.806 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.806 * [taylor]: Taking taylor expansion of -1 in k 29.806 * [backup-simplify]: Simplify -1 into -1 29.806 * [taylor]: Taking taylor expansion of k in k 29.806 * [backup-simplify]: Simplify 0 into 0 29.806 * [backup-simplify]: Simplify 1 into 1 29.806 * [backup-simplify]: Simplify (/ -1 1) into -1 29.807 * [backup-simplify]: Simplify (sqrt 0) into 0 29.808 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.809 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.810 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.812 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.814 * [backup-simplify]: Simplify (+ 0 0) into 0 29.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.819 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.821 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 29.821 * [taylor]: Taking taylor expansion of 0 in k 29.821 * [backup-simplify]: Simplify 0 into 0 29.821 * [backup-simplify]: Simplify 0 into 0 29.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.825 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.827 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.828 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.830 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.833 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.833 * [backup-simplify]: Simplify (+ 0 0) into 0 29.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.837 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.839 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.840 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.842 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 29.842 * [taylor]: Taking taylor expansion of 0 in k 29.842 * [backup-simplify]: Simplify 0 into 0 29.842 * [backup-simplify]: Simplify 0 into 0 29.842 * [backup-simplify]: Simplify 0 into 0 29.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.851 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.852 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.856 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 29.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 29.857 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 29.857 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.857 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.857 * [taylor]: Taking taylor expansion of 2 in n 29.857 * [backup-simplify]: Simplify 2 into 2 29.857 * [taylor]: Taking taylor expansion of (* n PI) in n 29.857 * [taylor]: Taking taylor expansion of n in n 29.857 * [backup-simplify]: Simplify 0 into 0 29.857 * [backup-simplify]: Simplify 1 into 1 29.857 * [taylor]: Taking taylor expansion of PI in n 29.857 * [backup-simplify]: Simplify PI into PI 29.857 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.857 * [taylor]: Taking taylor expansion of 2 in n 29.857 * [backup-simplify]: Simplify 2 into 2 29.857 * [taylor]: Taking taylor expansion of (* n PI) in n 29.857 * [taylor]: Taking taylor expansion of n in n 29.858 * [backup-simplify]: Simplify 0 into 0 29.858 * [backup-simplify]: Simplify 1 into 1 29.858 * [taylor]: Taking taylor expansion of PI in n 29.858 * [backup-simplify]: Simplify PI into PI 29.858 * [backup-simplify]: Simplify (* 0 PI) into 0 29.859 * [backup-simplify]: Simplify (* 2 0) into 0 29.859 * [backup-simplify]: Simplify 0 into 0 29.860 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.862 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.862 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.865 * [backup-simplify]: Simplify 0 into 0 29.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.867 * [backup-simplify]: Simplify 0 into 0 29.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.870 * [backup-simplify]: Simplify 0 into 0 29.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.873 * [backup-simplify]: Simplify 0 into 0 29.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.877 * [backup-simplify]: Simplify 0 into 0 29.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.882 * [backup-simplify]: Simplify 0 into 0 29.882 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.883 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 29.883 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.883 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.883 * [taylor]: Taking taylor expansion of 2 in n 29.883 * [backup-simplify]: Simplify 2 into 2 29.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.883 * [taylor]: Taking taylor expansion of PI in n 29.883 * [backup-simplify]: Simplify PI into PI 29.883 * [taylor]: Taking taylor expansion of n in n 29.883 * [backup-simplify]: Simplify 0 into 0 29.883 * [backup-simplify]: Simplify 1 into 1 29.883 * [backup-simplify]: Simplify (/ PI 1) into PI 29.884 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.884 * [taylor]: Taking taylor expansion of 2 in n 29.884 * [backup-simplify]: Simplify 2 into 2 29.884 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.884 * [taylor]: Taking taylor expansion of PI in n 29.884 * [backup-simplify]: Simplify PI into PI 29.884 * [taylor]: Taking taylor expansion of n in n 29.884 * [backup-simplify]: Simplify 0 into 0 29.884 * [backup-simplify]: Simplify 1 into 1 29.884 * [backup-simplify]: Simplify (/ PI 1) into PI 29.885 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.885 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.887 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.887 * [backup-simplify]: Simplify 0 into 0 29.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.889 * [backup-simplify]: Simplify 0 into 0 29.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.891 * [backup-simplify]: Simplify 0 into 0 29.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.893 * [backup-simplify]: Simplify 0 into 0 29.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.896 * [backup-simplify]: Simplify 0 into 0 29.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.899 * [backup-simplify]: Simplify 0 into 0 29.899 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.900 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 29.900 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.900 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.900 * [taylor]: Taking taylor expansion of -2 in n 29.900 * [backup-simplify]: Simplify -2 into -2 29.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.900 * [taylor]: Taking taylor expansion of PI in n 29.900 * [backup-simplify]: Simplify PI into PI 29.900 * [taylor]: Taking taylor expansion of n in n 29.900 * [backup-simplify]: Simplify 0 into 0 29.900 * [backup-simplify]: Simplify 1 into 1 29.901 * [backup-simplify]: Simplify (/ PI 1) into PI 29.901 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.901 * [taylor]: Taking taylor expansion of -2 in n 29.901 * [backup-simplify]: Simplify -2 into -2 29.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.901 * [taylor]: Taking taylor expansion of PI in n 29.901 * [backup-simplify]: Simplify PI into PI 29.901 * [taylor]: Taking taylor expansion of n in n 29.901 * [backup-simplify]: Simplify 0 into 0 29.901 * [backup-simplify]: Simplify 1 into 1 29.902 * [backup-simplify]: Simplify (/ PI 1) into PI 29.902 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.903 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.904 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.904 * [backup-simplify]: Simplify 0 into 0 29.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.907 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.907 * [backup-simplify]: Simplify 0 into 0 29.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.909 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.909 * [backup-simplify]: Simplify 0 into 0 29.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.920 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.920 * [backup-simplify]: Simplify 0 into 0 29.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.923 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.923 * [backup-simplify]: Simplify 0 into 0 29.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.927 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.927 * [backup-simplify]: Simplify 0 into 0 29.927 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.927 * * * [progress]: simplifying candidates 29.927 * * * * [progress]: [ 1 / 189 ] simplifiying candidate # 29.928 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 29.928 * * [simplify]: iters left: 6 (13 enodes) 29.936 * * [simplify]: iters left: 5 (54 enodes) 29.947 * * [simplify]: iters left: 4 (97 enodes) 29.966 * * [simplify]: iters left: 3 (242 enodes) 30.065 * * [simplify]: Extracting #0: cost 1 inf + 0 30.065 * * [simplify]: Extracting #1: cost 28 inf + 0 30.065 * * [simplify]: Extracting #2: cost 93 inf + 2 30.066 * * [simplify]: Extracting #3: cost 139 inf + 75 30.068 * * [simplify]: Extracting #4: cost 102 inf + 5195 30.077 * * [simplify]: Extracting #5: cost 14 inf + 28777 30.089 * * [simplify]: Extracting #6: cost 0 inf + 33789 30.102 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 30.102 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k)))) 30.103 * * * * [progress]: [ 2 / 189 ] simplifiying candidate # 30.103 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 30.103 * * [simplify]: iters left: 6 (12 enodes) 30.110 * * [simplify]: iters left: 5 (52 enodes) 30.126 * * [simplify]: iters left: 4 (90 enodes) 30.160 * * [simplify]: iters left: 3 (201 enodes) 30.219 * * [simplify]: iters left: 2 (496 enodes) 30.478 * * [simplify]: Extracting #0: cost 1 inf + 0 30.478 * * [simplify]: Extracting #1: cost 22 inf + 0 30.478 * * [simplify]: Extracting #2: cost 122 inf + 2 30.479 * * [simplify]: Extracting #3: cost 296 inf + 186 30.482 * * [simplify]: Extracting #4: cost 252 inf + 7310 30.492 * * [simplify]: Extracting #5: cost 66 inf + 59079 30.518 * * [simplify]: Extracting #6: cost 1 inf + 82178 30.552 * * [simplify]: Extracting #7: cost 0 inf + 82436 30.591 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 30.591 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k)))) 30.592 * * * * [progress]: [ 3 / 189 ] simplifiying candidate # 30.592 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 30.592 * * [simplify]: iters left: 6 (11 enodes) 30.598 * * [simplify]: iters left: 5 (51 enodes) 30.615 * * [simplify]: iters left: 4 (97 enodes) 30.639 * * [simplify]: iters left: 3 (197 enodes) 30.690 * * [simplify]: iters left: 2 (491 enodes) 30.996 * * [simplify]: Extracting #0: cost 1 inf + 0 30.996 * * [simplify]: Extracting #1: cost 27 inf + 0 30.997 * * [simplify]: Extracting #2: cost 139 inf + 2 30.998 * * [simplify]: Extracting #3: cost 300 inf + 382 31.003 * * [simplify]: Extracting #4: cost 242 inf + 10228 31.028 * * [simplify]: Extracting #5: cost 53 inf + 57829 31.059 * * [simplify]: Extracting #6: cost 2 inf + 73504 31.092 * * [simplify]: Extracting #7: cost 0 inf + 74187 31.124 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 31.124 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 31.124 * * * * [progress]: [ 4 / 189 ] simplifiying candidate # 31.124 * * * * [progress]: [ 5 / 189 ] simplifiying candidate # 31.125 * [simplify]: Simplifying (* n (* 2 PI)) 31.125 * * [simplify]: iters left: 4 (5 enodes) 31.128 * * [simplify]: iters left: 3 (19 enodes) 31.134 * * [simplify]: iters left: 2 (27 enodes) 31.142 * * [simplify]: iters left: 1 (32 enodes) 31.150 * * [simplify]: Extracting #0: cost 1 inf + 0 31.151 * * [simplify]: Extracting #1: cost 8 inf + 0 31.151 * * [simplify]: Extracting #2: cost 7 inf + 45 31.151 * * [simplify]: Extracting #3: cost 0 inf + 421 31.151 * [simplify]: Simplified to (* (* PI 2) n) 31.151 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.151 * * * * [progress]: [ 6 / 189 ] simplifiying candidate # 31.152 * [simplify]: Simplifying (* n (* 2 PI)) 31.152 * * [simplify]: iters left: 4 (5 enodes) 31.155 * * [simplify]: iters left: 3 (19 enodes) 31.161 * * [simplify]: iters left: 2 (27 enodes) 31.169 * * [simplify]: iters left: 1 (32 enodes) 31.179 * * [simplify]: Extracting #0: cost 1 inf + 0 31.179 * * [simplify]: Extracting #1: cost 8 inf + 0 31.179 * * [simplify]: Extracting #2: cost 7 inf + 45 31.179 * * [simplify]: Extracting #3: cost 0 inf + 421 31.179 * [simplify]: Simplified to (* (* PI 2) n) 31.179 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.179 * * * * [progress]: [ 7 / 189 ] simplifiying candidate # 31.179 * [simplify]: Simplifying (* n (* 2 PI)) 31.179 * * [simplify]: iters left: 4 (5 enodes) 31.181 * * [simplify]: iters left: 3 (19 enodes) 31.184 * * [simplify]: iters left: 2 (27 enodes) 31.188 * * [simplify]: iters left: 1 (32 enodes) 31.192 * * [simplify]: Extracting #0: cost 1 inf + 0 31.192 * * [simplify]: Extracting #1: cost 8 inf + 0 31.192 * * [simplify]: Extracting #2: cost 7 inf + 45 31.192 * * [simplify]: Extracting #3: cost 0 inf + 421 31.192 * [simplify]: Simplified to (* (* PI 2) n) 31.192 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.192 * * * * [progress]: [ 8 / 189 ] simplifiying candidate # 31.193 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 31.193 * * [simplify]: iters left: 5 (8 enodes) 31.195 * * [simplify]: iters left: 4 (31 enodes) 31.200 * * [simplify]: iters left: 3 (51 enodes) 31.210 * * [simplify]: iters left: 2 (85 enodes) 31.240 * * [simplify]: iters left: 1 (152 enodes) 31.290 * * [simplify]: Extracting #0: cost 1 inf + 0 31.290 * * [simplify]: Extracting #1: cost 13 inf + 0 31.290 * * [simplify]: Extracting #2: cost 59 inf + 1 31.290 * * [simplify]: Extracting #3: cost 76 inf + 9 31.291 * * [simplify]: Extracting #4: cost 41 inf + 3303 31.293 * * [simplify]: Extracting #5: cost 16 inf + 10676 31.295 * * [simplify]: Extracting #6: cost 0 inf + 21028 31.298 * * [simplify]: Extracting #7: cost 0 inf + 20456 31.301 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 31.301 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 31.301 * * * * [progress]: [ 9 / 189 ] simplifiying candidate # 31.301 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 31.301 * * [simplify]: iters left: 5 (6 enodes) 31.303 * * [simplify]: iters left: 4 (26 enodes) 31.310 * * [simplify]: iters left: 3 (35 enodes) 31.320 * * [simplify]: Extracting #0: cost 1 inf + 0 31.320 * * [simplify]: Extracting #1: cost 3 inf + 0 31.320 * * [simplify]: Extracting #2: cost 8 inf + 0 31.320 * * [simplify]: Extracting #3: cost 11 inf + 2 31.320 * * [simplify]: Extracting #4: cost 8 inf + 87 31.320 * * [simplify]: Extracting #5: cost 2 inf + 500 31.320 * * [simplify]: Extracting #6: cost 0 inf + 746 31.321 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 31.321 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.321 * * * * [progress]: [ 10 / 189 ] simplifiying candidate # 31.321 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 31.321 * * [simplify]: iters left: 5 (6 enodes) 31.325 * * [simplify]: iters left: 4 (26 enodes) 31.334 * * [simplify]: iters left: 3 (35 enodes) 31.345 * * [simplify]: Extracting #0: cost 1 inf + 0 31.345 * * [simplify]: Extracting #1: cost 3 inf + 0 31.345 * * [simplify]: Extracting #2: cost 8 inf + 0 31.345 * * [simplify]: Extracting #3: cost 11 inf + 2 31.346 * * [simplify]: Extracting #4: cost 8 inf + 87 31.346 * * [simplify]: Extracting #5: cost 2 inf + 460 31.346 * * [simplify]: Extracting #6: cost 0 inf + 666 31.346 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 31.346 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.347 * * * * [progress]: [ 11 / 189 ] simplifiying candidate # 31.347 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 31.347 * * [simplify]: iters left: 5 (7 enodes) 31.351 * * [simplify]: iters left: 4 (25 enodes) 31.359 * * [simplify]: iters left: 3 (30 enodes) 31.369 * * [simplify]: Extracting #0: cost 1 inf + 0 31.369 * * [simplify]: Extracting #1: cost 4 inf + 0 31.369 * * [simplify]: Extracting #2: cost 8 inf + 0 31.369 * * [simplify]: Extracting #3: cost 10 inf + 82 31.369 * * [simplify]: Extracting #4: cost 7 inf + 206 31.369 * * [simplify]: Extracting #5: cost 2 inf + 575 31.370 * * [simplify]: Extracting #6: cost 1 inf + 818 31.370 * * [simplify]: Extracting #7: cost 0 inf + 1061 31.370 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 31.370 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 31.371 * * * * [progress]: [ 12 / 189 ] simplifiying candidate # 31.371 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 31.371 * * [simplify]: iters left: 5 (7 enodes) 31.375 * * [simplify]: iters left: 4 (25 enodes) 31.383 * * [simplify]: iters left: 3 (30 enodes) 31.389 * * [simplify]: Extracting #0: cost 1 inf + 0 31.389 * * [simplify]: Extracting #1: cost 4 inf + 0 31.389 * * [simplify]: Extracting #2: cost 8 inf + 0 31.389 * * [simplify]: Extracting #3: cost 10 inf + 42 31.389 * * [simplify]: Extracting #4: cost 7 inf + 126 31.390 * * [simplify]: Extracting #5: cost 2 inf + 495 31.390 * * [simplify]: Extracting #6: cost 1 inf + 698 31.390 * * [simplify]: Extracting #7: cost 0 inf + 901 31.390 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 31.390 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.390 * * * * [progress]: [ 13 / 189 ] simplifiying candidate # 31.390 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 31.390 * * [simplify]: iters left: 5 (6 enodes) 31.392 * * [simplify]: iters left: 4 (22 enodes) 31.396 * * [simplify]: iters left: 3 (27 enodes) 31.400 * * [simplify]: Extracting #0: cost 1 inf + 0 31.400 * * [simplify]: Extracting #1: cost 4 inf + 0 31.400 * * [simplify]: Extracting #2: cost 5 inf + 1 31.400 * * [simplify]: Extracting #3: cost 9 inf + 1 31.400 * * [simplify]: Extracting #4: cost 8 inf + 3 31.400 * * [simplify]: Extracting #5: cost 4 inf + 169 31.400 * * [simplify]: Extracting #6: cost 1 inf + 576 31.400 * * [simplify]: Extracting #7: cost 0 inf + 739 31.401 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 31.401 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 31.401 * * * * [progress]: [ 14 / 189 ] simplifiying candidate # 31.401 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 31.401 * * [simplify]: iters left: 5 (7 enodes) 31.403 * * [simplify]: iters left: 4 (25 enodes) 31.407 * * [simplify]: iters left: 3 (30 enodes) 31.415 * * [simplify]: Extracting #0: cost 1 inf + 0 31.415 * * [simplify]: Extracting #1: cost 4 inf + 0 31.415 * * [simplify]: Extracting #2: cost 8 inf + 0 31.415 * * [simplify]: Extracting #3: cost 10 inf + 82 31.415 * * [simplify]: Extracting #4: cost 7 inf + 206 31.415 * * [simplify]: Extracting #5: cost 2 inf + 495 31.416 * * [simplify]: Extracting #6: cost 1 inf + 698 31.416 * * [simplify]: Extracting #7: cost 0 inf + 901 31.416 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 31.416 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 31.417 * * * * [progress]: [ 15 / 189 ] simplifiying candidate # 31.417 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 31.417 * * [simplify]: iters left: 5 (7 enodes) 31.421 * * [simplify]: iters left: 4 (25 enodes) 31.430 * * [simplify]: iters left: 3 (30 enodes) 31.436 * * [simplify]: Extracting #0: cost 1 inf + 0 31.436 * * [simplify]: Extracting #1: cost 4 inf + 0 31.436 * * [simplify]: Extracting #2: cost 8 inf + 0 31.436 * * [simplify]: Extracting #3: cost 10 inf + 42 31.436 * * [simplify]: Extracting #4: cost 7 inf + 126 31.437 * * [simplify]: Extracting #5: cost 2 inf + 415 31.437 * * [simplify]: Extracting #6: cost 1 inf + 578 31.437 * * [simplify]: Extracting #7: cost 0 inf + 741 31.437 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 31.437 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.437 * * * * [progress]: [ 16 / 189 ] simplifiying candidate # 31.437 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 31.437 * * [simplify]: iters left: 5 (6 enodes) 31.439 * * [simplify]: iters left: 4 (22 enodes) 31.443 * * [simplify]: iters left: 3 (27 enodes) 31.448 * * [simplify]: Extracting #0: cost 1 inf + 0 31.448 * * [simplify]: Extracting #1: cost 4 inf + 0 31.448 * * [simplify]: Extracting #2: cost 5 inf + 1 31.448 * * [simplify]: Extracting #3: cost 9 inf + 1 31.448 * * [simplify]: Extracting #4: cost 8 inf + 3 31.448 * * [simplify]: Extracting #5: cost 4 inf + 169 31.448 * * [simplify]: Extracting #6: cost 1 inf + 456 31.448 * * [simplify]: Extracting #7: cost 0 inf + 579 31.448 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 31.448 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 31.448 * * * * [progress]: [ 17 / 189 ] simplifiying candidate # 31.449 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.449 * * [simplify]: iters left: 4 (6 enodes) 31.451 * * [simplify]: iters left: 3 (25 enodes) 31.455 * * [simplify]: iters left: 2 (36 enodes) 31.461 * * [simplify]: iters left: 1 (40 enodes) 31.471 * * [simplify]: Extracting #0: cost 1 inf + 0 31.471 * * [simplify]: Extracting #1: cost 7 inf + 0 31.471 * * [simplify]: Extracting #2: cost 16 inf + 0 31.471 * * [simplify]: Extracting #3: cost 13 inf + 44 31.471 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.472 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.472 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.472 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 31.472 * * * * [progress]: [ 18 / 189 ] simplifiying candidate # 31.473 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.473 * * [simplify]: iters left: 4 (6 enodes) 31.476 * * [simplify]: iters left: 3 (25 enodes) 31.483 * * [simplify]: iters left: 2 (36 enodes) 31.493 * * [simplify]: iters left: 1 (40 enodes) 31.503 * * [simplify]: Extracting #0: cost 1 inf + 0 31.503 * * [simplify]: Extracting #1: cost 7 inf + 0 31.503 * * [simplify]: Extracting #2: cost 16 inf + 0 31.503 * * [simplify]: Extracting #3: cost 13 inf + 44 31.503 * * [simplify]: Extracting #4: cost 3 inf + 823 31.504 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.504 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.504 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 31.504 * * * * [progress]: [ 19 / 189 ] simplifiying candidate # 31.505 * [simplify]: Simplifying (/ (- 1 k) 2) 31.505 * * [simplify]: iters left: 4 (5 enodes) 31.508 * * [simplify]: iters left: 3 (23 enodes) 31.514 * * [simplify]: iters left: 2 (32 enodes) 31.522 * * [simplify]: Extracting #0: cost 1 inf + 0 31.522 * * [simplify]: Extracting #1: cost 6 inf + 0 31.522 * * [simplify]: Extracting #2: cost 9 inf + 2 31.523 * * [simplify]: Extracting #3: cost 6 inf + 87 31.523 * * [simplify]: Extracting #4: cost 0 inf + 420 31.523 * [simplify]: Simplified to (/ (- 1 k) 2) 31.523 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.523 * * * * [progress]: [ 20 / 189 ] simplifiying candidate # 31.523 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 31.524 * * [simplify]: iters left: 5 (8 enodes) 31.530 * * [simplify]: iters left: 4 (31 enodes) 31.539 * * [simplify]: iters left: 3 (45 enodes) 31.550 * * [simplify]: iters left: 2 (51 enodes) 31.562 * * [simplify]: iters left: 1 (52 enodes) 31.573 * * [simplify]: Extracting #0: cost 1 inf + 0 31.574 * * [simplify]: Extracting #1: cost 8 inf + 0 31.574 * * [simplify]: Extracting #2: cost 18 inf + 0 31.574 * * [simplify]: Extracting #3: cost 19 inf + 2 31.574 * * [simplify]: Extracting #4: cost 9 inf + 977 31.574 * * [simplify]: Extracting #5: cost 2 inf + 1790 31.575 * * [simplify]: Extracting #6: cost 0 inf + 2195 31.576 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.576 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 31.576 * * * * [progress]: [ 21 / 189 ] simplifiying candidate # 31.576 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 31.576 * * [simplify]: iters left: 5 (8 enodes) 31.581 * * [simplify]: iters left: 4 (31 enodes) 31.590 * * [simplify]: iters left: 3 (45 enodes) 31.602 * * [simplify]: iters left: 2 (51 enodes) 31.617 * * [simplify]: iters left: 1 (52 enodes) 31.630 * * [simplify]: Extracting #0: cost 1 inf + 0 31.630 * * [simplify]: Extracting #1: cost 8 inf + 0 31.630 * * [simplify]: Extracting #2: cost 18 inf + 0 31.630 * * [simplify]: Extracting #3: cost 19 inf + 2 31.630 * * [simplify]: Extracting #4: cost 9 inf + 697 31.631 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.632 * * [simplify]: Extracting #6: cost 0 inf + 1715 31.632 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.632 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.633 * * * * [progress]: [ 22 / 189 ] simplifiying candidate # 31.633 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 31.633 * * [simplify]: iters left: 5 (7 enodes) 31.638 * * [simplify]: iters left: 4 (29 enodes) 31.648 * * [simplify]: iters left: 3 (43 enodes) 31.659 * * [simplify]: iters left: 2 (47 enodes) 31.671 * * [simplify]: Extracting #0: cost 1 inf + 0 31.671 * * [simplify]: Extracting #1: cost 7 inf + 0 31.671 * * [simplify]: Extracting #2: cost 11 inf + 2 31.671 * * [simplify]: Extracting #3: cost 13 inf + 3 31.672 * * [simplify]: Extracting #4: cost 11 inf + 45 31.672 * * [simplify]: Extracting #5: cost 0 inf + 1066 31.672 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.672 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 31.673 * * * * [progress]: [ 23 / 189 ] simplifiying candidate # 31.673 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 31.673 * * [simplify]: iters left: 5 (7 enodes) 31.681 * * [simplify]: iters left: 4 (28 enodes) 31.690 * * [simplify]: iters left: 3 (39 enodes) 31.700 * * [simplify]: iters left: 2 (43 enodes) 31.706 * * [simplify]: Extracting #0: cost 1 inf + 0 31.706 * * [simplify]: Extracting #1: cost 7 inf + 0 31.706 * * [simplify]: Extracting #2: cost 16 inf + 0 31.707 * * [simplify]: Extracting #3: cost 15 inf + 164 31.707 * * [simplify]: Extracting #4: cost 13 inf + 287 31.707 * * [simplify]: Extracting #5: cost 5 inf + 1180 31.707 * * [simplify]: Extracting #6: cost 0 inf + 1951 31.707 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.707 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 31.708 * * * * [progress]: [ 24 / 189 ] simplifiying candidate # 31.708 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 31.708 * * [simplify]: iters left: 5 (7 enodes) 31.710 * * [simplify]: iters left: 4 (28 enodes) 31.715 * * [simplify]: iters left: 3 (39 enodes) 31.721 * * [simplify]: iters left: 2 (43 enodes) 31.727 * * [simplify]: Extracting #0: cost 1 inf + 0 31.727 * * [simplify]: Extracting #1: cost 7 inf + 0 31.727 * * [simplify]: Extracting #2: cost 16 inf + 0 31.727 * * [simplify]: Extracting #3: cost 15 inf + 84 31.728 * * [simplify]: Extracting #4: cost 13 inf + 167 31.728 * * [simplify]: Extracting #5: cost 5 inf + 900 31.728 * * [simplify]: Extracting #6: cost 0 inf + 1551 31.728 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.728 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.728 * * * * [progress]: [ 25 / 189 ] simplifiying candidate # 31.729 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 31.729 * * [simplify]: iters left: 5 (6 enodes) 31.732 * * [simplify]: iters left: 4 (26 enodes) 31.740 * * [simplify]: iters left: 3 (35 enodes) 31.746 * * [simplify]: Extracting #0: cost 1 inf + 0 31.746 * * [simplify]: Extracting #1: cost 6 inf + 0 31.746 * * [simplify]: Extracting #2: cost 9 inf + 2 31.746 * * [simplify]: Extracting #3: cost 11 inf + 3 31.746 * * [simplify]: Extracting #4: cost 10 inf + 4 31.747 * * [simplify]: Extracting #5: cost 3 inf + 535 31.747 * * [simplify]: Extracting #6: cost 0 inf + 822 31.747 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.747 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 31.747 * * * * [progress]: [ 26 / 189 ] simplifiying candidate # 31.747 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.747 * * [simplify]: iters left: 4 (6 enodes) 31.749 * * [simplify]: iters left: 3 (25 enodes) 31.754 * * [simplify]: iters left: 2 (36 enodes) 31.760 * * [simplify]: iters left: 1 (40 enodes) 31.766 * * [simplify]: Extracting #0: cost 1 inf + 0 31.766 * * [simplify]: Extracting #1: cost 7 inf + 0 31.766 * * [simplify]: Extracting #2: cost 16 inf + 0 31.766 * * [simplify]: Extracting #3: cost 13 inf + 44 31.766 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.766 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.767 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.767 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 31.767 * * * * [progress]: [ 27 / 189 ] simplifiying candidate # 31.767 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.767 * * [simplify]: iters left: 4 (6 enodes) 31.769 * * [simplify]: iters left: 3 (25 enodes) 31.774 * * [simplify]: iters left: 2 (36 enodes) 31.788 * * [simplify]: iters left: 1 (40 enodes) 31.799 * * [simplify]: Extracting #0: cost 1 inf + 0 31.800 * * [simplify]: Extracting #1: cost 7 inf + 0 31.800 * * [simplify]: Extracting #2: cost 16 inf + 0 31.800 * * [simplify]: Extracting #3: cost 13 inf + 44 31.800 * * [simplify]: Extracting #4: cost 3 inf + 823 31.801 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.801 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.801 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 31.801 * * * * [progress]: [ 28 / 189 ] simplifiying candidate # 31.802 * [simplify]: Simplifying (/ (- 1 k) 2) 31.802 * * [simplify]: iters left: 4 (5 enodes) 31.805 * * [simplify]: iters left: 3 (23 enodes) 31.813 * * [simplify]: iters left: 2 (32 enodes) 31.822 * * [simplify]: Extracting #0: cost 1 inf + 0 31.822 * * [simplify]: Extracting #1: cost 6 inf + 0 31.822 * * [simplify]: Extracting #2: cost 9 inf + 2 31.822 * * [simplify]: Extracting #3: cost 6 inf + 87 31.822 * * [simplify]: Extracting #4: cost 0 inf + 420 31.823 * [simplify]: Simplified to (/ (- 1 k) 2) 31.823 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.823 * * * * [progress]: [ 29 / 189 ] simplifiying candidate # 31.823 * [simplify]: Simplifying (/ (- 1 k) 2) 31.823 * * [simplify]: iters left: 4 (5 enodes) 31.827 * * [simplify]: iters left: 3 (23 enodes) 31.832 * * [simplify]: iters left: 2 (32 enodes) 31.837 * * [simplify]: Extracting #0: cost 1 inf + 0 31.837 * * [simplify]: Extracting #1: cost 6 inf + 0 31.837 * * [simplify]: Extracting #2: cost 9 inf + 2 31.837 * * [simplify]: Extracting #3: cost 6 inf + 87 31.837 * * [simplify]: Extracting #4: cost 0 inf + 420 31.837 * [simplify]: Simplified to (/ (- 1 k) 2) 31.837 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.837 * * * * [progress]: [ 30 / 189 ] simplifiying candidate # 31.838 * [simplify]: Simplifying (/ 1 2) 31.838 * * [simplify]: iters left: 2 (3 enodes) 31.839 * * [simplify]: iters left: 1 (12 enodes) 31.841 * * [simplify]: Extracting #0: cost 1 inf + 0 31.842 * * [simplify]: Extracting #1: cost 0 inf + 1 31.842 * [simplify]: Simplified to 1/2 31.842 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k)))) 31.842 * * * * [progress]: [ 31 / 189 ] simplifiying candidate # 31.842 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 31.842 * * [simplify]: iters left: 5 (7 enodes) 31.844 * * [simplify]: iters left: 4 (32 enodes) 31.850 * * [simplify]: iters left: 3 (57 enodes) 31.859 * * [simplify]: iters left: 2 (88 enodes) 31.884 * * [simplify]: iters left: 1 (156 enodes) 31.940 * * [simplify]: Extracting #0: cost 1 inf + 0 31.940 * * [simplify]: Extracting #1: cost 13 inf + 0 31.940 * * [simplify]: Extracting #2: cost 49 inf + 2 31.940 * * [simplify]: Extracting #3: cost 80 inf + 6 31.941 * * [simplify]: Extracting #4: cost 58 inf + 1840 31.942 * * [simplify]: Extracting #5: cost 22 inf + 9206 31.945 * * [simplify]: Extracting #6: cost 1 inf + 20886 31.949 * * [simplify]: Extracting #7: cost 0 inf + 21301 31.952 * * [simplify]: Extracting #8: cost 0 inf + 21130 31.955 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 31.955 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.956 * * * * [progress]: [ 32 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 33 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 34 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 35 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 36 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 37 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 38 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 39 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 40 / 189 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 31.956 * * * * [progress]: [ 41 / 189 ] simplifiying candidate # 31.956 * * * * [progress]: [ 42 / 189 ] simplifiying candidate # 31.956 * [simplify]: Simplifying (- 1/2) 31.956 * * [simplify]: iters left: 2 (2 enodes) 31.958 * * [simplify]: iters left: 1 (7 enodes) 31.959 * * [simplify]: Extracting #0: cost 1 inf + 0 31.959 * * [simplify]: Extracting #1: cost 0 inf + 1 31.959 * [simplify]: Simplified to -1/2 31.959 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 31.959 * * * * [progress]: [ 43 / 189 ] simplifiying candidate # 31.959 * [simplify]: Simplifying (- 1) 31.959 * * [simplify]: iters left: 2 (2 enodes) 31.960 * * [simplify]: iters left: 1 (9 enodes) 31.962 * * [simplify]: Extracting #0: cost 1 inf + 0 31.962 * * [simplify]: Extracting #1: cost 0 inf + 1 31.962 * [simplify]: Simplified to -1 31.962 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 31.962 * * * * [progress]: [ 44 / 189 ] simplifiying candidate # 31.962 * [simplify]: Simplifying (- (/ 1 2)) 31.962 * * [simplify]: iters left: 4 (4 enodes) 31.965 * * [simplify]: iters left: 3 (19 enodes) 31.968 * * [simplify]: iters left: 2 (23 enodes) 31.974 * * [simplify]: Extracting #0: cost 1 inf + 0 31.974 * * [simplify]: Extracting #1: cost 0 inf + 1 31.974 * [simplify]: Simplified to -1/2 31.974 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 31.974 * * * * [progress]: [ 45 / 189 ] simplifiying candidate # 31.974 * * * * [progress]: [ 46 / 189 ] simplifiying candidate # 31.974 * * * * [progress]: [ 47 / 189 ] simplifiying candidate # 31.974 * [simplify]: Simplifying (- 0 (log (sqrt k))) 31.974 * * [simplify]: iters left: 4 (5 enodes) 31.977 * * [simplify]: iters left: 3 (17 enodes) 31.983 * * [simplify]: iters left: 2 (21 enodes) 31.989 * * [simplify]: iters left: 1 (23 enodes) 31.996 * * [simplify]: Extracting #0: cost 1 inf + 0 31.996 * * [simplify]: Extracting #1: cost 4 inf + 0 31.996 * * [simplify]: Extracting #2: cost 5 inf + 1 31.996 * * [simplify]: Extracting #3: cost 7 inf + 1 31.996 * * [simplify]: Extracting #4: cost 0 inf + 608 31.997 * [simplify]: Simplified to (- (log (sqrt k))) 31.997 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 31.997 * * * * [progress]: [ 48 / 189 ] simplifiying candidate # 31.997 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 31.997 * * [simplify]: iters left: 4 (6 enodes) 32.001 * * [simplify]: iters left: 3 (22 enodes) 32.007 * * [simplify]: Extracting #0: cost 1 inf + 0 32.007 * * [simplify]: Extracting #1: cost 4 inf + 0 32.007 * * [simplify]: Extracting #2: cost 5 inf + 1 32.007 * * [simplify]: Extracting #3: cost 7 inf + 1 32.007 * * [simplify]: Extracting #4: cost 6 inf + 2 32.007 * * [simplify]: Extracting #5: cost 1 inf + 457 32.007 * * [simplify]: Extracting #6: cost 0 inf + 608 32.008 * [simplify]: Simplified to (- (log (sqrt k))) 32.008 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 32.008 * * * * [progress]: [ 49 / 189 ] simplifiying candidate # 32.008 * * * * [progress]: [ 50 / 189 ] simplifiying candidate # 32.008 * * * * [progress]: [ 51 / 189 ] simplifiying candidate # 32.008 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 32.008 * * [simplify]: iters left: 6 (8 enodes) 32.016 * * [simplify]: iters left: 5 (26 enodes) 32.024 * * [simplify]: iters left: 4 (43 enodes) 32.037 * * [simplify]: iters left: 3 (59 enodes) 32.045 * * [simplify]: iters left: 2 (67 enodes) 32.054 * * [simplify]: iters left: 1 (69 enodes) 32.063 * * [simplify]: Extracting #0: cost 1 inf + 0 32.063 * * [simplify]: Extracting #1: cost 14 inf + 0 32.063 * * [simplify]: Extracting #2: cost 18 inf + 2 32.063 * * [simplify]: Extracting #3: cost 7 inf + 701 32.063 * * [simplify]: Extracting #4: cost 0 inf + 1234 32.064 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 32.064 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 32.064 * * * * [progress]: [ 52 / 189 ] simplifiying candidate # 32.064 * * * * [progress]: [ 53 / 189 ] simplifiying candidate # 32.064 * * * * [progress]: [ 54 / 189 ] simplifiying candidate # 32.064 * * * * [progress]: [ 55 / 189 ] simplifiying candidate # 32.064 * * * * [progress]: [ 56 / 189 ] simplifiying candidate # 32.064 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.064 * * [simplify]: iters left: 6 (8 enodes) 32.068 * * [simplify]: iters left: 5 (32 enodes) 32.078 * * [simplify]: iters left: 4 (48 enodes) 32.093 * * [simplify]: iters left: 3 (76 enodes) 32.115 * * [simplify]: iters left: 2 (81 enodes) 32.127 * * [simplify]: Extracting #0: cost 1 inf + 0 32.127 * * [simplify]: Extracting #1: cost 6 inf + 0 32.127 * * [simplify]: Extracting #2: cost 9 inf + 1 32.127 * * [simplify]: Extracting #3: cost 11 inf + 1 32.127 * * [simplify]: Extracting #4: cost 2 inf + 1052 32.128 * * [simplify]: Extracting #5: cost 0 inf + 1376 32.128 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.129 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 32.129 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 32.129 * * [simplify]: iters left: 4 (6 enodes) 32.133 * * [simplify]: iters left: 3 (20 enodes) 32.141 * * [simplify]: iters left: 2 (22 enodes) 32.148 * * [simplify]: Extracting #0: cost 1 inf + 0 32.148 * * [simplify]: Extracting #1: cost 4 inf + 0 32.148 * * [simplify]: Extracting #2: cost 5 inf + 1 32.148 * * [simplify]: Extracting #3: cost 7 inf + 1 32.148 * * [simplify]: Extracting #4: cost 1 inf + 488 32.148 * * [simplify]: Extracting #5: cost 0 inf + 650 32.149 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.149 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.149 * * * * [progress]: [ 57 / 189 ] simplifiying candidate # 32.149 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 32.149 * * [simplify]: iters left: 6 (8 enodes) 32.155 * * [simplify]: iters left: 5 (29 enodes) 32.161 * * [simplify]: iters left: 4 (31 enodes) 32.165 * * [simplify]: Extracting #0: cost 1 inf + 0 32.165 * * [simplify]: Extracting #1: cost 4 inf + 0 32.165 * * [simplify]: Extracting #2: cost 6 inf + 1 32.165 * * [simplify]: Extracting #3: cost 9 inf + 1 32.165 * * [simplify]: Extracting #4: cost 8 inf + 2 32.165 * * [simplify]: Extracting #5: cost 2 inf + 729 32.165 * * [simplify]: Extracting #6: cost 0 inf + 972 32.166 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.166 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 32.166 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 32.166 * * [simplify]: iters left: 4 (6 enodes) 32.168 * * [simplify]: iters left: 3 (20 enodes) 32.171 * * [simplify]: iters left: 2 (22 enodes) 32.174 * * [simplify]: Extracting #0: cost 1 inf + 0 32.174 * * [simplify]: Extracting #1: cost 4 inf + 0 32.174 * * [simplify]: Extracting #2: cost 5 inf + 1 32.174 * * [simplify]: Extracting #3: cost 7 inf + 1 32.174 * * [simplify]: Extracting #4: cost 1 inf + 568 32.175 * * [simplify]: Extracting #5: cost 0 inf + 730 32.175 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.175 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.175 * * * * [progress]: [ 58 / 189 ] simplifiying candidate # 32.175 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.175 * * [simplify]: iters left: 5 (7 enodes) 32.177 * * [simplify]: iters left: 4 (25 enodes) 32.182 * * [simplify]: iters left: 3 (27 enodes) 32.185 * * [simplify]: Extracting #0: cost 1 inf + 0 32.186 * * [simplify]: Extracting #1: cost 4 inf + 0 32.186 * * [simplify]: Extracting #2: cost 5 inf + 1 32.186 * * [simplify]: Extracting #3: cost 7 inf + 1 32.186 * * [simplify]: Extracting #4: cost 6 inf + 2 32.186 * * [simplify]: Extracting #5: cost 2 inf + 368 32.186 * * [simplify]: Extracting #6: cost 0 inf + 490 32.186 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.186 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 32.186 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.186 * * [simplify]: iters left: 4 (6 enodes) 32.188 * * [simplify]: iters left: 3 (20 enodes) 32.193 * * [simplify]: iters left: 2 (22 enodes) 32.199 * * [simplify]: Extracting #0: cost 1 inf + 0 32.199 * * [simplify]: Extracting #1: cost 4 inf + 0 32.199 * * [simplify]: Extracting #2: cost 5 inf + 1 32.199 * * [simplify]: Extracting #3: cost 7 inf + 1 32.199 * * [simplify]: Extracting #4: cost 1 inf + 368 32.200 * * [simplify]: Extracting #5: cost 0 inf + 490 32.200 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.200 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.200 * * * * [progress]: [ 59 / 189 ] simplifiying candidate # 32.200 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 32.200 * * [simplify]: iters left: 5 (5 enodes) 32.208 * * [simplify]: iters left: 4 (19 enodes) 32.211 * * [simplify]: iters left: 3 (21 enodes) 32.213 * * [simplify]: Extracting #0: cost 1 inf + 0 32.213 * * [simplify]: Extracting #1: cost 0 inf + 1 32.213 * [simplify]: Simplified to 1 32.213 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 32.213 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.213 * * [simplify]: iters left: 3 (5 enodes) 32.216 * * [simplify]: iters left: 2 (17 enodes) 32.218 * * [simplify]: iters left: 1 (19 enodes) 32.221 * * [simplify]: Extracting #0: cost 1 inf + 0 32.221 * * [simplify]: Extracting #1: cost 4 inf + 0 32.221 * * [simplify]: Extracting #2: cost 5 inf + 1 32.221 * * [simplify]: Extracting #3: cost 0 inf + 248 32.221 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.221 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.221 * * * * [progress]: [ 60 / 189 ] simplifiying candidate # 32.222 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.222 * * [simplify]: iters left: 5 (7 enodes) 32.224 * * [simplify]: iters left: 4 (25 enodes) 32.229 * * [simplify]: iters left: 3 (27 enodes) 32.233 * * [simplify]: Extracting #0: cost 1 inf + 0 32.233 * * [simplify]: Extracting #1: cost 4 inf + 0 32.233 * * [simplify]: Extracting #2: cost 5 inf + 1 32.233 * * [simplify]: Extracting #3: cost 7 inf + 1 32.233 * * [simplify]: Extracting #4: cost 6 inf + 2 32.233 * * [simplify]: Extracting #5: cost 2 inf + 368 32.233 * * [simplify]: Extracting #6: cost 0 inf + 490 32.234 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.234 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 32.234 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.234 * * [simplify]: iters left: 4 (6 enodes) 32.236 * * [simplify]: iters left: 3 (20 enodes) 32.241 * * [simplify]: iters left: 2 (22 enodes) 32.248 * * [simplify]: Extracting #0: cost 1 inf + 0 32.248 * * [simplify]: Extracting #1: cost 4 inf + 0 32.248 * * [simplify]: Extracting #2: cost 5 inf + 1 32.248 * * [simplify]: Extracting #3: cost 7 inf + 1 32.248 * * [simplify]: Extracting #4: cost 1 inf + 368 32.248 * * [simplify]: Extracting #5: cost 0 inf + 490 32.248 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.249 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.249 * * * * [progress]: [ 61 / 189 ] simplifiying candidate # 32.249 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 32.249 * * [simplify]: iters left: 5 (4 enodes) 32.256 * * [simplify]: iters left: 4 (14 enodes) 32.259 * * [simplify]: iters left: 3 (16 enodes) 32.263 * * [simplify]: Extracting #0: cost 1 inf + 0 32.263 * * [simplify]: Extracting #1: cost 0 inf + 1 32.263 * [simplify]: Simplified to 1 32.263 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 32.263 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 32.263 * * [simplify]: iters left: 3 (5 enodes) 32.268 * * [simplify]: iters left: 2 (17 enodes) 32.272 * * [simplify]: iters left: 1 (19 enodes) 32.278 * * [simplify]: Extracting #0: cost 1 inf + 0 32.278 * * [simplify]: Extracting #1: cost 4 inf + 0 32.278 * * [simplify]: Extracting #2: cost 5 inf + 1 32.278 * * [simplify]: Extracting #3: cost 0 inf + 248 32.278 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.278 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.278 * * * * [progress]: [ 62 / 189 ] simplifiying candidate # 32.279 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.279 * * [simplify]: iters left: 6 (7 enodes) 32.283 * * [simplify]: iters left: 5 (25 enodes) 32.291 * * [simplify]: iters left: 4 (32 enodes) 32.300 * * [simplify]: iters left: 3 (34 enodes) 32.309 * * [simplify]: Extracting #0: cost 1 inf + 0 32.309 * * [simplify]: Extracting #1: cost 7 inf + 0 32.309 * * [simplify]: Extracting #2: cost 11 inf + 1 32.309 * * [simplify]: Extracting #3: cost 13 inf + 1 32.309 * * [simplify]: Extracting #4: cost 10 inf + 84 32.309 * * [simplify]: Extracting #5: cost 4 inf + 1014 32.310 * * [simplify]: Extracting #6: cost 1 inf + 1498 32.310 * * [simplify]: Extracting #7: cost 0 inf + 1700 32.310 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 32.310 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 32.310 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 32.310 * * [simplify]: iters left: 4 (6 enodes) 32.312 * * [simplify]: iters left: 3 (20 enodes) 32.315 * * [simplify]: iters left: 2 (22 enodes) 32.319 * * [simplify]: Extracting #0: cost 1 inf + 0 32.319 * * [simplify]: Extracting #1: cost 4 inf + 0 32.319 * * [simplify]: Extracting #2: cost 5 inf + 1 32.319 * * [simplify]: Extracting #3: cost 7 inf + 1 32.319 * * [simplify]: Extracting #4: cost 1 inf + 488 32.319 * * [simplify]: Extracting #5: cost 0 inf + 650 32.319 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.319 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.319 * * * * [progress]: [ 63 / 189 ] simplifiying candidate # 32.319 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 32.319 * * [simplify]: iters left: 6 (7 enodes) 32.322 * * [simplify]: iters left: 5 (24 enodes) 32.325 * * [simplify]: iters left: 4 (26 enodes) 32.329 * * [simplify]: Extracting #0: cost 1 inf + 0 32.329 * * [simplify]: Extracting #1: cost 4 inf + 0 32.329 * * [simplify]: Extracting #2: cost 6 inf + 1 32.329 * * [simplify]: Extracting #3: cost 9 inf + 1 32.329 * * [simplify]: Extracting #4: cost 8 inf + 2 32.329 * * [simplify]: Extracting #5: cost 2 inf + 730 32.329 * * [simplify]: Extracting #6: cost 0 inf + 972 32.329 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.329 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 32.330 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 32.330 * * [simplify]: iters left: 4 (6 enodes) 32.332 * * [simplify]: iters left: 3 (20 enodes) 32.335 * * [simplify]: iters left: 2 (22 enodes) 32.338 * * [simplify]: Extracting #0: cost 1 inf + 0 32.338 * * [simplify]: Extracting #1: cost 4 inf + 0 32.338 * * [simplify]: Extracting #2: cost 5 inf + 1 32.338 * * [simplify]: Extracting #3: cost 7 inf + 1 32.338 * * [simplify]: Extracting #4: cost 1 inf + 568 32.338 * * [simplify]: Extracting #5: cost 0 inf + 730 32.338 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.338 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.338 * * * * [progress]: [ 64 / 189 ] simplifiying candidate # 32.338 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.339 * * [simplify]: iters left: 4 (6 enodes) 32.340 * * [simplify]: iters left: 3 (20 enodes) 32.346 * * [simplify]: iters left: 2 (22 enodes) 32.352 * * [simplify]: Extracting #0: cost 1 inf + 0 32.352 * * [simplify]: Extracting #1: cost 4 inf + 0 32.352 * * [simplify]: Extracting #2: cost 5 inf + 1 32.352 * * [simplify]: Extracting #3: cost 7 inf + 1 32.352 * * [simplify]: Extracting #4: cost 1 inf + 368 32.352 * * [simplify]: Extracting #5: cost 0 inf + 490 32.353 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.353 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 32.353 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.353 * * [simplify]: iters left: 4 (6 enodes) 32.357 * * [simplify]: iters left: 3 (20 enodes) 32.360 * * [simplify]: iters left: 2 (22 enodes) 32.363 * * [simplify]: Extracting #0: cost 1 inf + 0 32.363 * * [simplify]: Extracting #1: cost 4 inf + 0 32.363 * * [simplify]: Extracting #2: cost 5 inf + 1 32.363 * * [simplify]: Extracting #3: cost 7 inf + 1 32.363 * * [simplify]: Extracting #4: cost 1 inf + 368 32.364 * * [simplify]: Extracting #5: cost 0 inf + 490 32.364 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.364 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.364 * * * * [progress]: [ 65 / 189 ] simplifiying candidate # 32.364 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 32.364 * * [simplify]: iters left: 3 (3 enodes) 32.368 * * [simplify]: iters left: 2 (9 enodes) 32.370 * * [simplify]: iters left: 1 (11 enodes) 32.371 * * [simplify]: Extracting #0: cost 1 inf + 0 32.371 * * [simplify]: Extracting #1: cost 0 inf + 1 32.371 * [simplify]: Simplified to 1 32.371 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 32.371 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.371 * * [simplify]: iters left: 3 (5 enodes) 32.374 * * [simplify]: iters left: 2 (17 enodes) 32.377 * * [simplify]: iters left: 1 (19 enodes) 32.379 * * [simplify]: Extracting #0: cost 1 inf + 0 32.379 * * [simplify]: Extracting #1: cost 4 inf + 0 32.379 * * [simplify]: Extracting #2: cost 5 inf + 1 32.379 * * [simplify]: Extracting #3: cost 0 inf + 248 32.379 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.380 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.380 * * * * [progress]: [ 66 / 189 ] simplifiying candidate # 32.380 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.380 * * [simplify]: iters left: 4 (6 enodes) 32.382 * * [simplify]: iters left: 3 (20 enodes) 32.385 * * [simplify]: iters left: 2 (22 enodes) 32.388 * * [simplify]: Extracting #0: cost 1 inf + 0 32.388 * * [simplify]: Extracting #1: cost 4 inf + 0 32.388 * * [simplify]: Extracting #2: cost 5 inf + 1 32.388 * * [simplify]: Extracting #3: cost 7 inf + 1 32.388 * * [simplify]: Extracting #4: cost 1 inf + 368 32.388 * * [simplify]: Extracting #5: cost 0 inf + 490 32.388 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.388 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 32.388 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 32.389 * * [simplify]: iters left: 4 (6 enodes) 32.392 * * [simplify]: iters left: 3 (20 enodes) 32.397 * * [simplify]: iters left: 2 (22 enodes) 32.403 * * [simplify]: Extracting #0: cost 1 inf + 0 32.403 * * [simplify]: Extracting #1: cost 4 inf + 0 32.403 * * [simplify]: Extracting #2: cost 5 inf + 1 32.403 * * [simplify]: Extracting #3: cost 7 inf + 1 32.404 * * [simplify]: Extracting #4: cost 1 inf + 368 32.404 * * [simplify]: Extracting #5: cost 0 inf + 490 32.404 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.404 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.404 * * * * [progress]: [ 67 / 189 ] simplifiying candidate # 32.404 * [simplify]: Simplifying (/ (sqrt 1) 1) 32.405 * * [simplify]: iters left: 3 (3 enodes) 32.408 * * [simplify]: iters left: 2 (9 enodes) 32.411 * * [simplify]: iters left: 1 (11 enodes) 32.414 * * [simplify]: Extracting #0: cost 1 inf + 0 32.414 * * [simplify]: Extracting #1: cost 0 inf + 1 32.414 * [simplify]: Simplified to 1 32.414 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 32.415 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 32.415 * * [simplify]: iters left: 3 (5 enodes) 32.419 * * [simplify]: iters left: 2 (17 enodes) 32.424 * * [simplify]: iters left: 1 (19 enodes) 32.429 * * [simplify]: Extracting #0: cost 1 inf + 0 32.429 * * [simplify]: Extracting #1: cost 4 inf + 0 32.429 * * [simplify]: Extracting #2: cost 5 inf + 1 32.429 * * [simplify]: Extracting #3: cost 0 inf + 248 32.430 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.430 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.430 * * * * [progress]: [ 68 / 189 ] simplifiying candidate # 32.430 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.430 * * [simplify]: iters left: 6 (6 enodes) 32.433 * * [simplify]: iters left: 5 (22 enodes) 32.441 * * [simplify]: iters left: 4 (26 enodes) 32.448 * * [simplify]: Extracting #0: cost 1 inf + 0 32.448 * * [simplify]: Extracting #1: cost 6 inf + 0 32.448 * * [simplify]: Extracting #2: cost 9 inf + 1 32.448 * * [simplify]: Extracting #3: cost 11 inf + 1 32.448 * * [simplify]: Extracting #4: cost 8 inf + 84 32.449 * * [simplify]: Extracting #5: cost 2 inf + 1013 32.449 * * [simplify]: Extracting #6: cost 0 inf + 1376 32.449 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.449 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.450 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 32.450 * * [simplify]: iters left: 4 (5 enodes) 32.452 * * [simplify]: iters left: 3 (17 enodes) 32.458 * * [simplify]: iters left: 2 (19 enodes) 32.463 * * [simplify]: Extracting #0: cost 1 inf + 0 32.463 * * [simplify]: Extracting #1: cost 4 inf + 0 32.464 * * [simplify]: Extracting #2: cost 5 inf + 1 32.464 * * [simplify]: Extracting #3: cost 7 inf + 1 32.464 * * [simplify]: Extracting #4: cost 0 inf + 650 32.464 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.464 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 32.464 * * * * [progress]: [ 69 / 189 ] simplifiying candidate # 32.464 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 32.465 * * [simplify]: iters left: 6 (6 enodes) 32.468 * * [simplify]: iters left: 5 (21 enodes) 32.474 * * [simplify]: iters left: 4 (23 enodes) 32.480 * * [simplify]: Extracting #0: cost 1 inf + 0 32.481 * * [simplify]: Extracting #1: cost 4 inf + 0 32.481 * * [simplify]: Extracting #2: cost 6 inf + 1 32.481 * * [simplify]: Extracting #3: cost 9 inf + 1 32.481 * * [simplify]: Extracting #4: cost 8 inf + 2 32.481 * * [simplify]: Extracting #5: cost 1 inf + 810 32.481 * * [simplify]: Extracting #6: cost 0 inf + 972 32.482 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.482 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.482 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 32.482 * * [simplify]: iters left: 4 (5 enodes) 32.484 * * [simplify]: iters left: 3 (17 enodes) 32.490 * * [simplify]: iters left: 2 (19 enodes) 32.495 * * [simplify]: Extracting #0: cost 1 inf + 0 32.495 * * [simplify]: Extracting #1: cost 4 inf + 0 32.495 * * [simplify]: Extracting #2: cost 5 inf + 1 32.496 * * [simplify]: Extracting #3: cost 7 inf + 1 32.496 * * [simplify]: Extracting #4: cost 0 inf + 730 32.496 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.496 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 32.496 * * * * [progress]: [ 70 / 189 ] simplifiying candidate # 32.496 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.496 * * [simplify]: iters left: 4 (5 enodes) 32.499 * * [simplify]: iters left: 3 (17 enodes) 32.505 * * [simplify]: iters left: 2 (19 enodes) 32.510 * * [simplify]: Extracting #0: cost 1 inf + 0 32.510 * * [simplify]: Extracting #1: cost 4 inf + 0 32.510 * * [simplify]: Extracting #2: cost 5 inf + 1 32.510 * * [simplify]: Extracting #3: cost 7 inf + 1 32.511 * * [simplify]: Extracting #4: cost 0 inf + 490 32.511 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.511 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.511 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.511 * * [simplify]: iters left: 4 (5 enodes) 32.512 * * [simplify]: iters left: 3 (17 enodes) 32.515 * * [simplify]: iters left: 2 (19 enodes) 32.518 * * [simplify]: Extracting #0: cost 1 inf + 0 32.518 * * [simplify]: Extracting #1: cost 4 inf + 0 32.518 * * [simplify]: Extracting #2: cost 5 inf + 1 32.518 * * [simplify]: Extracting #3: cost 7 inf + 1 32.518 * * [simplify]: Extracting #4: cost 0 inf + 490 32.519 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.519 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.519 * * * * [progress]: [ 71 / 189 ] simplifiying candidate # 32.519 * [simplify]: Simplifying (/ 1 (sqrt 1)) 32.519 * * [simplify]: iters left: 3 (3 enodes) 32.522 * * [simplify]: iters left: 2 (11 enodes) 32.524 * * [simplify]: iters left: 1 (13 enodes) 32.526 * * [simplify]: Extracting #0: cost 1 inf + 0 32.526 * * [simplify]: Extracting #1: cost 0 inf + 1 32.526 * [simplify]: Simplified to 1 32.526 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.526 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.526 * * [simplify]: iters left: 3 (4 enodes) 32.527 * * [simplify]: iters left: 2 (14 enodes) 32.529 * * [simplify]: iters left: 1 (16 enodes) 32.532 * * [simplify]: Extracting #0: cost 1 inf + 0 32.532 * * [simplify]: Extracting #1: cost 4 inf + 0 32.532 * * [simplify]: Extracting #2: cost 5 inf + 1 32.532 * * [simplify]: Extracting #3: cost 3 inf + 43 32.532 * * [simplify]: Extracting #4: cost 1 inf + 166 32.532 * * [simplify]: Extracting #5: cost 0 inf + 248 32.532 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.532 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.532 * * * * [progress]: [ 72 / 189 ] simplifiying candidate # 32.532 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.532 * * [simplify]: iters left: 4 (5 enodes) 32.534 * * [simplify]: iters left: 3 (17 enodes) 32.536 * * [simplify]: iters left: 2 (19 enodes) 32.540 * * [simplify]: Extracting #0: cost 1 inf + 0 32.540 * * [simplify]: Extracting #1: cost 4 inf + 0 32.540 * * [simplify]: Extracting #2: cost 5 inf + 1 32.541 * * [simplify]: Extracting #3: cost 7 inf + 1 32.541 * * [simplify]: Extracting #4: cost 0 inf + 490 32.541 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.541 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.541 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.541 * * [simplify]: iters left: 4 (5 enodes) 32.544 * * [simplify]: iters left: 3 (17 enodes) 32.547 * * [simplify]: iters left: 2 (19 enodes) 32.550 * * [simplify]: Extracting #0: cost 1 inf + 0 32.550 * * [simplify]: Extracting #1: cost 4 inf + 0 32.550 * * [simplify]: Extracting #2: cost 5 inf + 1 32.550 * * [simplify]: Extracting #3: cost 7 inf + 1 32.550 * * [simplify]: Extracting #4: cost 0 inf + 490 32.550 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.550 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 32.550 * * * * [progress]: [ 73 / 189 ] simplifiying candidate # 32.551 * [simplify]: Simplifying (/ 1 1) 32.551 * * [simplify]: iters left: 2 (2 enodes) 32.551 * * [simplify]: iters left: 1 (6 enodes) 32.552 * * [simplify]: Extracting #0: cost 1 inf + 0 32.553 * * [simplify]: Extracting #1: cost 0 inf + 1 32.553 * [simplify]: Simplified to 1 32.553 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.553 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.553 * * [simplify]: iters left: 3 (4 enodes) 32.554 * * [simplify]: iters left: 2 (14 enodes) 32.556 * * [simplify]: iters left: 1 (16 enodes) 32.559 * * [simplify]: Extracting #0: cost 1 inf + 0 32.559 * * [simplify]: Extracting #1: cost 4 inf + 0 32.559 * * [simplify]: Extracting #2: cost 5 inf + 1 32.559 * * [simplify]: Extracting #3: cost 3 inf + 43 32.559 * * [simplify]: Extracting #4: cost 1 inf + 166 32.559 * * [simplify]: Extracting #5: cost 0 inf + 248 32.559 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.559 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.559 * * * * [progress]: [ 74 / 189 ] simplifiying candidate # 32.559 * * * * [progress]: [ 75 / 189 ] simplifiying candidate # 32.559 * * * * [progress]: [ 76 / 189 ] simplifiying candidate # 32.559 * * * * [progress]: [ 77 / 189 ] simplifiying candidate # 32.560 * [simplify]: Simplifying (cbrt (sqrt k)) 32.560 * * [simplify]: iters left: 2 (3 enodes) 32.560 * * [simplify]: iters left: 1 (9 enodes) 32.561 * * [simplify]: Extracting #0: cost 1 inf + 0 32.561 * * [simplify]: Extracting #1: cost 3 inf + 0 32.561 * * [simplify]: Extracting #2: cost 5 inf + 0 32.561 * * [simplify]: Extracting #3: cost 4 inf + 1 32.561 * * [simplify]: Extracting #4: cost 0 inf + 325 32.562 * [simplify]: Simplified to (cbrt (sqrt k)) 32.562 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 32.562 * * * * [progress]: [ 78 / 189 ] simplifiying candidate # 32.562 * [simplify]: Simplifying (sqrt (cbrt k)) 32.562 * * [simplify]: iters left: 2 (3 enodes) 32.562 * * [simplify]: iters left: 1 (9 enodes) 32.564 * * [simplify]: Extracting #0: cost 1 inf + 0 32.564 * * [simplify]: Extracting #1: cost 3 inf + 0 32.564 * * [simplify]: Extracting #2: cost 5 inf + 0 32.564 * * [simplify]: Extracting #3: cost 4 inf + 1 32.564 * * [simplify]: Extracting #4: cost 0 inf + 405 32.564 * [simplify]: Simplified to (sqrt (cbrt k)) 32.564 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 32.564 * * * * [progress]: [ 79 / 189 ] simplifiying candidate # 32.564 * [simplify]: Simplifying (sqrt (sqrt k)) 32.564 * * [simplify]: iters left: 2 (3 enodes) 32.565 * * [simplify]: iters left: 1 (9 enodes) 32.566 * * [simplify]: Extracting #0: cost 1 inf + 0 32.566 * * [simplify]: Extracting #1: cost 3 inf + 0 32.566 * * [simplify]: Extracting #2: cost 5 inf + 0 32.566 * * [simplify]: Extracting #3: cost 4 inf + 1 32.566 * * [simplify]: Extracting #4: cost 0 inf + 245 32.566 * [simplify]: Simplified to (sqrt (sqrt k)) 32.566 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.566 * * * * [progress]: [ 80 / 189 ] simplifiying candidate # 32.566 * [simplify]: Simplifying (sqrt k) 32.566 * * [simplify]: iters left: 1 (2 enodes) 32.567 * * [simplify]: Extracting #0: cost 1 inf + 0 32.567 * * [simplify]: Extracting #1: cost 3 inf + 0 32.567 * * [simplify]: Extracting #2: cost 2 inf + 1 32.567 * * [simplify]: Extracting #3: cost 0 inf + 83 32.567 * [simplify]: Simplified to (sqrt k) 32.567 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 32.567 * * * * [progress]: [ 81 / 189 ] simplifiying candidate # 32.567 * [simplify]: Simplifying (sqrt (sqrt k)) 32.567 * * [simplify]: iters left: 2 (3 enodes) 32.568 * * [simplify]: iters left: 1 (9 enodes) 32.569 * * [simplify]: Extracting #0: cost 1 inf + 0 32.569 * * [simplify]: Extracting #1: cost 3 inf + 0 32.569 * * [simplify]: Extracting #2: cost 5 inf + 0 32.569 * * [simplify]: Extracting #3: cost 4 inf + 1 32.569 * * [simplify]: Extracting #4: cost 0 inf + 245 32.569 * [simplify]: Simplified to (sqrt (sqrt k)) 32.569 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.569 * * * * [progress]: [ 82 / 189 ] simplifiying candidate # 32.569 * [simplify]: Simplifying (sqrt k) 32.569 * * [simplify]: iters left: 1 (2 enodes) 32.570 * * [simplify]: Extracting #0: cost 1 inf + 0 32.570 * * [simplify]: Extracting #1: cost 3 inf + 0 32.570 * * [simplify]: Extracting #2: cost 2 inf + 1 32.570 * * [simplify]: Extracting #3: cost 0 inf + 83 32.570 * [simplify]: Simplified to (sqrt k) 32.570 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k)))) 32.570 * * * * [progress]: [ 83 / 189 ] simplifiying candidate # 32.571 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 32.571 * * [simplify]: iters left: 3 (3 enodes) 32.576 * * [simplify]: iters left: 2 (11 enodes) 32.579 * * [simplify]: iters left: 1 (13 enodes) 32.582 * * [simplify]: Extracting #0: cost 1 inf + 0 32.582 * * [simplify]: Extracting #1: cost 0 inf + 1 32.583 * [simplify]: Simplified to 1 32.583 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 32.583 * * * * [progress]: [ 84 / 189 ] simplifiying candidate # 32.583 * [simplify]: Simplifying (sqrt 1) 32.583 * * [simplify]: iters left: 1 (2 enodes) 32.586 * * [simplify]: Extracting #0: cost 1 inf + 0 32.586 * * [simplify]: Extracting #1: cost 0 inf + 1 32.586 * [simplify]: Simplified to 1 32.586 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 32.586 * * * * [progress]: [ 85 / 189 ] simplifiying candidate # 32.586 * * * * [progress]: [ 86 / 189 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 32.586 * * * * [progress]: [ 87 / 189 ] simplifiying candidate # 32.587 * * * * [progress]: [ 88 / 189 ] simplifiying candidate # 32.587 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 32.587 * * [simplify]: iters left: 6 (17 enodes) 32.597 * * [simplify]: iters left: 5 (68 enodes) 32.618 * * [simplify]: iters left: 4 (111 enodes) 32.667 * * [simplify]: iters left: 3 (294 enodes) 32.775 * * [simplify]: Extracting #0: cost 1 inf + 0 32.775 * * [simplify]: Extracting #1: cost 35 inf + 0 32.775 * * [simplify]: Extracting #2: cost 86 inf + 0 32.776 * * [simplify]: Extracting #3: cost 145 inf + 73 32.777 * * [simplify]: Extracting #4: cost 158 inf + 2059 32.780 * * [simplify]: Extracting #5: cost 60 inf + 25418 32.789 * * [simplify]: Extracting #6: cost 4 inf + 45627 32.802 * * [simplify]: Extracting #7: cost 0 inf + 47344 32.818 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 32.818 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 32.818 * * * * [progress]: [ 89 / 189 ] simplifiying candidate # 32.819 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 32.819 * * [simplify]: iters left: 6 (18 enodes) 32.828 * * [simplify]: iters left: 5 (73 enodes) 32.853 * * [simplify]: iters left: 4 (122 enodes) 32.899 * * [simplify]: iters left: 3 (339 enodes) 33.045 * * [simplify]: Extracting #0: cost 1 inf + 0 33.046 * * [simplify]: Extracting #1: cost 26 inf + 0 33.046 * * [simplify]: Extracting #2: cost 116 inf + 1 33.048 * * [simplify]: Extracting #3: cost 183 inf + 74 33.056 * * [simplify]: Extracting #4: cost 159 inf + 10387 33.064 * * [simplify]: Extracting #5: cost 25 inf + 49992 33.076 * * [simplify]: Extracting #6: cost 0 inf + 59914 33.090 * * [simplify]: Extracting #7: cost 0 inf + 59868 33.114 * * [simplify]: Extracting #8: cost 0 inf + 59867 33.138 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.138 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.138 * * * * [progress]: [ 90 / 189 ] simplifiying candidate # 33.138 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 33.139 * * [simplify]: iters left: 6 (18 enodes) 33.149 * * [simplify]: iters left: 5 (74 enodes) 33.160 * * [simplify]: iters left: 4 (118 enodes) 33.193 * * [simplify]: iters left: 3 (319 enodes) 33.302 * * [simplify]: Extracting #0: cost 1 inf + 0 33.302 * * [simplify]: Extracting #1: cost 51 inf + 0 33.302 * * [simplify]: Extracting #2: cost 112 inf + 1 33.303 * * [simplify]: Extracting #3: cost 171 inf + 74 33.304 * * [simplify]: Extracting #4: cost 192 inf + 514 33.306 * * [simplify]: Extracting #5: cost 132 inf + 13318 33.314 * * [simplify]: Extracting #6: cost 20 inf + 50494 33.329 * * [simplify]: Extracting #7: cost 0 inf + 58416 33.350 * * [simplify]: Extracting #8: cost 0 inf + 58411 33.362 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 33.362 * [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))))) 33.363 * * * * [progress]: [ 91 / 189 ] simplifiying candidate # 33.363 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 33.363 * * [simplify]: iters left: 6 (17 enodes) 33.368 * * [simplify]: iters left: 5 (71 enodes) 33.379 * * [simplify]: iters left: 4 (117 enodes) 33.426 * * [simplify]: iters left: 3 (308 enodes) 33.537 * * [simplify]: Extracting #0: cost 1 inf + 0 33.538 * * [simplify]: Extracting #1: cost 37 inf + 0 33.538 * * [simplify]: Extracting #2: cost 108 inf + 1 33.538 * * [simplify]: Extracting #3: cost 168 inf + 74 33.539 * * [simplify]: Extracting #4: cost 187 inf + 837 33.543 * * [simplify]: Extracting #5: cost 90 inf + 24004 33.552 * * [simplify]: Extracting #6: cost 12 inf + 50887 33.562 * * [simplify]: Extracting #7: cost 0 inf + 55727 33.573 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.573 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.573 * * * * [progress]: [ 92 / 189 ] simplifiying candidate # 33.573 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 33.574 * * [simplify]: iters left: 6 (16 enodes) 33.582 * * [simplify]: iters left: 5 (66 enodes) 33.597 * * [simplify]: iters left: 4 (104 enodes) 33.619 * * [simplify]: iters left: 3 (238 enodes) 33.677 * * [simplify]: Extracting #0: cost 1 inf + 0 33.677 * * [simplify]: Extracting #1: cost 27 inf + 0 33.677 * * [simplify]: Extracting #2: cost 74 inf + 0 33.678 * * [simplify]: Extracting #3: cost 127 inf + 73 33.683 * * [simplify]: Extracting #4: cost 143 inf + 1083 33.689 * * [simplify]: Extracting #5: cost 51 inf + 20470 33.702 * * [simplify]: Extracting #6: cost 2 inf + 36270 33.716 * * [simplify]: Extracting #7: cost 0 inf + 36684 33.730 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 33.730 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 33.730 * * * * [progress]: [ 93 / 189 ] simplifiying candidate # 33.731 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 33.731 * * [simplify]: iters left: 6 (17 enodes) 33.741 * * [simplify]: iters left: 5 (71 enodes) 33.763 * * [simplify]: iters left: 4 (115 enodes) 33.801 * * [simplify]: iters left: 3 (277 enodes) 33.890 * * [simplify]: Extracting #0: cost 1 inf + 0 33.891 * * [simplify]: Extracting #1: cost 23 inf + 0 33.891 * * [simplify]: Extracting #2: cost 105 inf + 1 33.892 * * [simplify]: Extracting #3: cost 165 inf + 3 33.893 * * [simplify]: Extracting #4: cost 176 inf + 1530 33.899 * * [simplify]: Extracting #5: cost 99 inf + 17269 33.914 * * [simplify]: Extracting #6: cost 18 inf + 41889 33.933 * * [simplify]: Extracting #7: cost 0 inf + 47980 33.953 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 33.953 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 33.953 * * * * [progress]: [ 94 / 189 ] simplifiying candidate # 33.953 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 33.954 * * [simplify]: iters left: 6 (17 enodes) 33.964 * * [simplify]: iters left: 5 (72 enodes) 33.986 * * [simplify]: iters left: 4 (111 enodes) 34.015 * * [simplify]: iters left: 3 (261 enodes) 34.115 * * [simplify]: Extracting #0: cost 1 inf + 0 34.115 * * [simplify]: Extracting #1: cost 39 inf + 0 34.116 * * [simplify]: Extracting #2: cost 94 inf + 1 34.117 * * [simplify]: Extracting #3: cost 148 inf + 3 34.118 * * [simplify]: Extracting #4: cost 160 inf + 1602 34.124 * * [simplify]: Extracting #5: cost 69 inf + 21379 34.132 * * [simplify]: Extracting #6: cost 8 inf + 42113 34.141 * * [simplify]: Extracting #7: cost 0 inf + 44448 34.150 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.150 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.150 * * * * [progress]: [ 95 / 189 ] simplifiying candidate # 34.151 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 34.151 * * [simplify]: iters left: 6 (16 enodes) 34.156 * * [simplify]: iters left: 5 (69 enodes) 34.172 * * [simplify]: iters left: 4 (110 enodes) 34.192 * * [simplify]: iters left: 3 (248 enodes) 34.303 * * [simplify]: Extracting #0: cost 1 inf + 0 34.304 * * [simplify]: Extracting #1: cost 32 inf + 0 34.304 * * [simplify]: Extracting #2: cost 93 inf + 1 34.308 * * [simplify]: Extracting #3: cost 148 inf + 3 34.310 * * [simplify]: Extracting #4: cost 163 inf + 1044 34.314 * * [simplify]: Extracting #5: cost 78 inf + 17812 34.321 * * [simplify]: Extracting #6: cost 6 inf + 41381 34.330 * * [simplify]: Extracting #7: cost 0 inf + 43771 34.343 * * [simplify]: Extracting #8: cost 0 inf + 43768 34.359 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.359 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.359 * * * * [progress]: [ 96 / 189 ] simplifiying candidate # 34.359 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.360 * * [simplify]: iters left: 6 (15 enodes) 34.367 * * [simplify]: iters left: 5 (65 enodes) 34.386 * * [simplify]: iters left: 4 (111 enodes) 34.405 * * [simplify]: iters left: 3 (223 enodes) 34.458 * * [simplify]: Extracting #0: cost 1 inf + 0 34.458 * * [simplify]: Extracting #1: cost 20 inf + 0 34.458 * * [simplify]: Extracting #2: cost 69 inf + 0 34.458 * * [simplify]: Extracting #3: cost 124 inf + 73 34.459 * * [simplify]: Extracting #4: cost 141 inf + 1357 34.462 * * [simplify]: Extracting #5: cost 62 inf + 14905 34.472 * * [simplify]: Extracting #6: cost 7 inf + 29401 34.486 * * [simplify]: Extracting #7: cost 0 inf + 32280 34.502 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 34.502 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 34.502 * * * * [progress]: [ 97 / 189 ] simplifiying candidate # 34.503 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 34.503 * * [simplify]: iters left: 6 (16 enodes) 34.509 * * [simplify]: iters left: 5 (70 enodes) 34.521 * * [simplify]: iters left: 4 (122 enodes) 34.543 * * [simplify]: iters left: 3 (254 enodes) 34.657 * * [simplify]: Extracting #0: cost 1 inf + 0 34.657 * * [simplify]: Extracting #1: cost 21 inf + 0 34.657 * * [simplify]: Extracting #2: cost 93 inf + 1 34.658 * * [simplify]: Extracting #3: cost 152 inf + 3 34.660 * * [simplify]: Extracting #4: cost 166 inf + 1435 34.666 * * [simplify]: Extracting #5: cost 63 inf + 20571 34.681 * * [simplify]: Extracting #6: cost 4 inf + 38498 34.698 * * [simplify]: Extracting #7: cost 0 inf + 39935 34.714 * * [simplify]: Extracting #8: cost 0 inf + 39825 34.727 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 34.727 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 34.727 * * * * [progress]: [ 98 / 189 ] simplifiying candidate # 34.727 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 34.727 * * [simplify]: iters left: 6 (16 enodes) 34.732 * * [simplify]: iters left: 5 (71 enodes) 34.747 * * [simplify]: iters left: 4 (118 enodes) 34.781 * * [simplify]: iters left: 3 (243 enodes) 34.840 * * [simplify]: Extracting #0: cost 1 inf + 0 34.840 * * [simplify]: Extracting #1: cost 30 inf + 0 34.841 * * [simplify]: Extracting #2: cost 85 inf + 1 34.841 * * [simplify]: Extracting #3: cost 141 inf + 3 34.842 * * [simplify]: Extracting #4: cost 160 inf + 1180 34.844 * * [simplify]: Extracting #5: cost 82 inf + 13821 34.850 * * [simplify]: Extracting #6: cost 12 inf + 33392 34.857 * * [simplify]: Extracting #7: cost 0 inf + 37906 34.865 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 34.865 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 34.865 * * * * [progress]: [ 99 / 189 ] simplifiying candidate # 34.866 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 34.866 * * [simplify]: iters left: 6 (15 enodes) 34.870 * * [simplify]: iters left: 5 (68 enodes) 34.881 * * [simplify]: iters left: 4 (117 enodes) 34.918 * * [simplify]: iters left: 3 (233 enodes) 34.998 * * [simplify]: Extracting #0: cost 1 inf + 0 34.998 * * [simplify]: Extracting #1: cost 21 inf + 0 34.998 * * [simplify]: Extracting #2: cost 78 inf + 1 34.999 * * [simplify]: Extracting #3: cost 135 inf + 3 35.000 * * [simplify]: Extracting #4: cost 156 inf + 857 35.004 * * [simplify]: Extracting #5: cost 72 inf + 15592 35.013 * * [simplify]: Extracting #6: cost 13 inf + 30155 35.025 * * [simplify]: Extracting #7: cost 2 inf + 33823 35.037 * * [simplify]: Extracting #8: cost 0 inf + 34931 35.049 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.049 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.050 * * * * [progress]: [ 100 / 189 ] simplifiying candidate # 35.050 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 35.050 * * [simplify]: iters left: 6 (15 enodes) 35.054 * * [simplify]: iters left: 5 (65 enodes) 35.065 * * [simplify]: iters left: 4 (111 enodes) 35.095 * * [simplify]: iters left: 3 (223 enodes) 35.156 * * [simplify]: Extracting #0: cost 1 inf + 0 35.156 * * [simplify]: Extracting #1: cost 20 inf + 0 35.157 * * [simplify]: Extracting #2: cost 69 inf + 0 35.157 * * [simplify]: Extracting #3: cost 124 inf + 73 35.157 * * [simplify]: Extracting #4: cost 141 inf + 1357 35.160 * * [simplify]: Extracting #5: cost 62 inf + 14905 35.165 * * [simplify]: Extracting #6: cost 7 inf + 29401 35.172 * * [simplify]: Extracting #7: cost 0 inf + 32280 35.183 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.183 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.183 * * * * [progress]: [ 101 / 189 ] simplifiying candidate # 35.184 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.184 * * [simplify]: iters left: 6 (16 enodes) 35.189 * * [simplify]: iters left: 5 (70 enodes) 35.209 * * [simplify]: iters left: 4 (122 enodes) 35.236 * * [simplify]: iters left: 3 (254 enodes) 35.303 * * [simplify]: Extracting #0: cost 1 inf + 0 35.304 * * [simplify]: Extracting #1: cost 21 inf + 0 35.305 * * [simplify]: Extracting #2: cost 93 inf + 1 35.305 * * [simplify]: Extracting #3: cost 152 inf + 3 35.306 * * [simplify]: Extracting #4: cost 166 inf + 1435 35.311 * * [simplify]: Extracting #5: cost 63 inf + 20571 35.324 * * [simplify]: Extracting #6: cost 4 inf + 38498 35.338 * * [simplify]: Extracting #7: cost 0 inf + 39935 35.351 * * [simplify]: Extracting #8: cost 0 inf + 39825 35.362 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.362 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.363 * * * * [progress]: [ 102 / 189 ] simplifiying candidate # 35.363 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.363 * * [simplify]: iters left: 6 (16 enodes) 35.368 * * [simplify]: iters left: 5 (71 enodes) 35.379 * * [simplify]: iters left: 4 (118 enodes) 35.409 * * [simplify]: iters left: 3 (243 enodes) 35.466 * * [simplify]: Extracting #0: cost 1 inf + 0 35.466 * * [simplify]: Extracting #1: cost 30 inf + 0 35.466 * * [simplify]: Extracting #2: cost 85 inf + 1 35.467 * * [simplify]: Extracting #3: cost 141 inf + 3 35.467 * * [simplify]: Extracting #4: cost 160 inf + 1180 35.470 * * [simplify]: Extracting #5: cost 82 inf + 13821 35.481 * * [simplify]: Extracting #6: cost 12 inf + 33392 35.488 * * [simplify]: Extracting #7: cost 0 inf + 37906 35.496 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.496 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.497 * * * * [progress]: [ 103 / 189 ] simplifiying candidate # 35.497 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 35.497 * * [simplify]: iters left: 6 (15 enodes) 35.501 * * [simplify]: iters left: 5 (68 enodes) 35.513 * * [simplify]: iters left: 4 (117 enodes) 35.538 * * [simplify]: iters left: 3 (233 enodes) 35.605 * * [simplify]: Extracting #0: cost 1 inf + 0 35.606 * * [simplify]: Extracting #1: cost 21 inf + 0 35.606 * * [simplify]: Extracting #2: cost 78 inf + 1 35.606 * * [simplify]: Extracting #3: cost 135 inf + 3 35.607 * * [simplify]: Extracting #4: cost 156 inf + 857 35.609 * * [simplify]: Extracting #5: cost 72 inf + 15592 35.614 * * [simplify]: Extracting #6: cost 13 inf + 30155 35.621 * * [simplify]: Extracting #7: cost 2 inf + 33823 35.628 * * [simplify]: Extracting #8: cost 0 inf + 34931 35.635 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.635 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.635 * * * * [progress]: [ 104 / 189 ] simplifiying candidate # 35.635 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 35.635 * * [simplify]: iters left: 6 (15 enodes) 35.640 * * [simplify]: iters left: 5 (64 enodes) 35.651 * * [simplify]: iters left: 4 (111 enodes) 35.677 * * [simplify]: iters left: 3 (214 enodes) 35.729 * * [simplify]: Extracting #0: cost 1 inf + 0 35.729 * * [simplify]: Extracting #1: cost 20 inf + 0 35.730 * * [simplify]: Extracting #2: cost 94 inf + 0 35.730 * * [simplify]: Extracting #3: cost 168 inf + 2 35.732 * * [simplify]: Extracting #4: cost 162 inf + 2172 35.737 * * [simplify]: Extracting #5: cost 71 inf + 21466 35.744 * * [simplify]: Extracting #6: cost 2 inf + 40379 35.751 * * [simplify]: Extracting #7: cost 0 inf + 40543 35.758 * * [simplify]: Extracting #8: cost 0 inf + 40304 35.767 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 35.767 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 35.767 * * * * [progress]: [ 105 / 189 ] simplifiying candidate # 35.767 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 35.768 * * [simplify]: iters left: 6 (16 enodes) 35.774 * * [simplify]: iters left: 5 (69 enodes) 35.792 * * [simplify]: iters left: 4 (122 enodes) 35.813 * * [simplify]: iters left: 3 (244 enodes) 35.910 * * [simplify]: Extracting #0: cost 1 inf + 0 35.910 * * [simplify]: Extracting #1: cost 23 inf + 0 35.911 * * [simplify]: Extracting #2: cost 121 inf + 1 35.911 * * [simplify]: Extracting #3: cost 196 inf + 3 35.913 * * [simplify]: Extracting #4: cost 159 inf + 6678 35.918 * * [simplify]: Extracting #5: cost 40 inf + 35203 35.928 * * [simplify]: Extracting #6: cost 2 inf + 47598 35.946 * * [simplify]: Extracting #7: cost 0 inf + 48511 35.954 * [simplify]: Simplified to (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k))) 35.954 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k))))) 35.954 * * * * [progress]: [ 106 / 189 ] simplifiying candidate # 35.954 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 35.955 * * [simplify]: iters left: 6 (16 enodes) 35.959 * * [simplify]: iters left: 5 (70 enodes) 35.975 * * [simplify]: iters left: 4 (118 enodes) 36.003 * * [simplify]: iters left: 3 (232 enodes) 36.080 * * [simplify]: Extracting #0: cost 1 inf + 0 36.080 * * [simplify]: Extracting #1: cost 27 inf + 0 36.081 * * [simplify]: Extracting #2: cost 108 inf + 1 36.082 * * [simplify]: Extracting #3: cost 182 inf + 3 36.084 * * [simplify]: Extracting #4: cost 161 inf + 3528 36.090 * * [simplify]: Extracting #5: cost 58 inf + 25890 36.097 * * [simplify]: Extracting #6: cost 3 inf + 43665 36.105 * * [simplify]: Extracting #7: cost 0 inf + 45365 36.112 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 36.113 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 36.113 * * * * [progress]: [ 107 / 189 ] simplifiying candidate # 36.113 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 36.113 * * [simplify]: iters left: 6 (15 enodes) 36.117 * * [simplify]: iters left: 5 (67 enodes) 36.133 * * [simplify]: iters left: 4 (117 enodes) 36.170 * * [simplify]: iters left: 3 (224 enodes) 36.237 * * [simplify]: Extracting #0: cost 1 inf + 0 36.237 * * [simplify]: Extracting #1: cost 22 inf + 0 36.237 * * [simplify]: Extracting #2: cost 106 inf + 1 36.238 * * [simplify]: Extracting #3: cost 181 inf + 3 36.240 * * [simplify]: Extracting #4: cost 150 inf + 6038 36.250 * * [simplify]: Extracting #5: cost 41 inf + 32157 36.264 * * [simplify]: Extracting #6: cost 2 inf + 43501 36.274 * * [simplify]: Extracting #7: cost 0 inf + 44153 36.283 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))) 36.284 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))))) 36.284 * * * * [progress]: [ 108 / 189 ] simplifiying candidate # 36.284 * * * * [progress]: [ 109 / 189 ] simplifiying candidate # 36.284 * * * * [progress]: [ 110 / 189 ] simplifiying candidate # 36.284 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 36.284 * * [simplify]: iters left: 6 (19 enodes) 36.289 * * [simplify]: iters left: 5 (80 enodes) 36.306 * * [simplify]: iters left: 4 (188 enodes) 36.391 * * [simplify]: Extracting #0: cost 1 inf + 0 36.391 * * [simplify]: Extracting #1: cost 50 inf + 0 36.392 * * [simplify]: Extracting #2: cost 145 inf + 206 36.393 * * [simplify]: Extracting #3: cost 157 inf + 1393 36.394 * * [simplify]: Extracting #4: cost 146 inf + 2848 36.404 * * [simplify]: Extracting #5: cost 56 inf + 40587 36.422 * * [simplify]: Extracting #6: cost 0 inf + 73945 36.433 * * [simplify]: Extracting #7: cost 0 inf + 73750 36.443 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k) 36.443 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k))) 36.443 * * * * [progress]: [ 111 / 189 ] simplifiying candidate # 36.443 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 36.443 * * [simplify]: iters left: 6 (17 enodes) 36.448 * * [simplify]: iters left: 5 (81 enodes) 36.477 * * [simplify]: iters left: 4 (174 enodes) 36.537 * * [simplify]: iters left: 3 (492 enodes) 36.865 * * [simplify]: Extracting #0: cost 1 inf + 0 36.866 * * [simplify]: Extracting #1: cost 79 inf + 0 36.868 * * [simplify]: Extracting #2: cost 422 inf + 45 36.873 * * [simplify]: Extracting #3: cost 471 inf + 578 36.878 * * [simplify]: Extracting #4: cost 445 inf + 4775 36.899 * * [simplify]: Extracting #5: cost 244 inf + 120026 36.955 * * [simplify]: Extracting #6: cost 16 inf + 296926 37.007 * * [simplify]: Extracting #7: cost 0 inf + 302204 37.067 * * [simplify]: Extracting #8: cost 0 inf + 300487 37.131 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)) 37.131 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)))) 37.131 * * * * [progress]: [ 112 / 189 ] simplifiying candidate # 37.131 * * * * [progress]: [ 113 / 189 ] simplifiying candidate # 37.131 * * * * [progress]: [ 114 / 189 ] simplifiying candidate # 37.131 * * * * [progress]: [ 115 / 189 ] simplifiying candidate # 37.131 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 37.131 * * [simplify]: iters left: 6 (9 enodes) 37.136 * * [simplify]: iters left: 5 (37 enodes) 37.143 * * [simplify]: iters left: 4 (66 enodes) 37.162 * * [simplify]: iters left: 3 (106 enodes) 37.191 * * [simplify]: iters left: 2 (160 enodes) 37.229 * * [simplify]: iters left: 1 (277 enodes) 37.321 * * [simplify]: Extracting #0: cost 1 inf + 0 37.321 * * [simplify]: Extracting #1: cost 18 inf + 0 37.322 * * [simplify]: Extracting #2: cost 67 inf + 3 37.322 * * [simplify]: Extracting #3: cost 72 inf + 11 37.323 * * [simplify]: Extracting #4: cost 58 inf + 2363 37.328 * * [simplify]: Extracting #5: cost 25 inf + 17516 37.335 * * [simplify]: Extracting #6: cost 1 inf + 34423 37.339 * * [simplify]: Extracting #7: cost 0 inf + 35219 37.344 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 37.344 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 37.344 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 37.344 * * [simplify]: iters left: 6 (10 enodes) 37.347 * * [simplify]: iters left: 5 (38 enodes) 37.353 * * [simplify]: iters left: 4 (62 enodes) 37.363 * * [simplify]: iters left: 3 (104 enodes) 37.398 * * [simplify]: iters left: 2 (207 enodes) 37.455 * * [simplify]: iters left: 1 (463 enodes) 37.749 * * [simplify]: Extracting #0: cost 1 inf + 0 37.749 * * [simplify]: Extracting #1: cost 54 inf + 0 37.750 * * [simplify]: Extracting #2: cost 171 inf + 0 37.750 * * [simplify]: Extracting #3: cost 210 inf + 45 37.752 * * [simplify]: Extracting #4: cost 181 inf + 4887 37.755 * * [simplify]: Extracting #5: cost 140 inf + 13636 37.765 * * [simplify]: Extracting #6: cost 43 inf + 93420 37.795 * * [simplify]: Extracting #7: cost 0 inf + 133565 37.816 * * [simplify]: Extracting #8: cost 0 inf + 131993 37.842 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)) 37.842 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)))) 37.842 * * * * [progress]: [ 116 / 189 ] simplifiying candidate # 37.842 * * * * [progress]: [ 117 / 189 ] simplifiying candidate # 37.842 * [simplify]: Simplifying (sqrt k) 37.842 * * [simplify]: iters left: 1 (2 enodes) 37.843 * * [simplify]: Extracting #0: cost 1 inf + 0 37.843 * * [simplify]: Extracting #1: cost 3 inf + 0 37.843 * * [simplify]: Extracting #2: cost 2 inf + 1 37.843 * * [simplify]: Extracting #3: cost 0 inf + 83 37.843 * [simplify]: Simplified to (sqrt k) 37.843 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 37.843 * * * * [progress]: [ 118 / 189 ] simplifiying candidate # 37.843 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 37.843 * * [simplify]: iters left: 6 (15 enodes) 37.847 * * [simplify]: iters left: 5 (61 enodes) 37.857 * * [simplify]: iters left: 4 (95 enodes) 37.883 * * [simplify]: iters left: 3 (135 enodes) 37.921 * * [simplify]: iters left: 2 (208 enodes) 37.966 * * [simplify]: iters left: 1 (367 enodes) 38.075 * * [simplify]: Extracting #0: cost 1 inf + 0 38.075 * * [simplify]: Extracting #1: cost 4 inf + 0 38.075 * * [simplify]: Extracting #2: cost 9 inf + 0 38.075 * * [simplify]: Extracting #3: cost 40 inf + 0 38.076 * * [simplify]: Extracting #4: cost 123 inf + 2 38.077 * * [simplify]: Extracting #5: cost 150 inf + 345 38.080 * * [simplify]: Extracting #6: cost 93 inf + 9742 38.094 * * [simplify]: Extracting #7: cost 20 inf + 46355 38.104 * * [simplify]: Extracting #8: cost 1 inf + 59527 38.119 * * [simplify]: Extracting #9: cost 0 inf + 59575 38.131 * * [simplify]: Extracting #10: cost 0 inf + 59536 38.148 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 38.148 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 38.148 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 38.149 * * [simplify]: iters left: 6 (15 enodes) 38.155 * * [simplify]: iters left: 5 (61 enodes) 38.173 * * [simplify]: iters left: 4 (95 enodes) 38.195 * * [simplify]: iters left: 3 (135 enodes) 38.224 * * [simplify]: iters left: 2 (208 enodes) 38.290 * * [simplify]: iters left: 1 (367 enodes) 38.408 * * [simplify]: Extracting #0: cost 1 inf + 0 38.408 * * [simplify]: Extracting #1: cost 4 inf + 0 38.408 * * [simplify]: Extracting #2: cost 9 inf + 0 38.409 * * [simplify]: Extracting #3: cost 40 inf + 0 38.409 * * [simplify]: Extracting #4: cost 123 inf + 2 38.410 * * [simplify]: Extracting #5: cost 150 inf + 345 38.413 * * [simplify]: Extracting #6: cost 93 inf + 9742 38.421 * * [simplify]: Extracting #7: cost 20 inf + 46355 38.436 * * [simplify]: Extracting #8: cost 1 inf + 59527 38.449 * * [simplify]: Extracting #9: cost 0 inf + 59575 38.462 * * [simplify]: Extracting #10: cost 0 inf + 59536 38.480 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 38.480 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 38.480 * * * * [progress]: [ 119 / 189 ] simplifiying candidate # 38.480 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 38.481 * * [simplify]: iters left: 6 (16 enodes) 38.489 * * [simplify]: iters left: 5 (66 enodes) 38.504 * * [simplify]: iters left: 4 (106 enodes) 38.533 * * [simplify]: iters left: 3 (151 enodes) 38.559 * * [simplify]: iters left: 2 (225 enodes) 38.614 * * [simplify]: iters left: 1 (378 enodes) 38.731 * * [simplify]: Extracting #0: cost 1 inf + 0 38.732 * * [simplify]: Extracting #1: cost 7 inf + 0 38.732 * * [simplify]: Extracting #2: cost 13 inf + 1 38.732 * * [simplify]: Extracting #3: cost 42 inf + 1 38.732 * * [simplify]: Extracting #4: cost 113 inf + 125 38.733 * * [simplify]: Extracting #5: cost 135 inf + 2286 38.736 * * [simplify]: Extracting #6: cost 70 inf + 17118 38.747 * * [simplify]: Extracting #7: cost 3 inf + 56117 38.765 * * [simplify]: Extracting #8: cost 0 inf + 57613 38.777 * * [simplify]: Extracting #9: cost 0 inf + 57532 38.786 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 38.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 38.787 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 38.787 * * [simplify]: iters left: 6 (16 enodes) 38.796 * * [simplify]: iters left: 5 (66 enodes) 38.809 * * [simplify]: iters left: 4 (106 enodes) 38.826 * * [simplify]: iters left: 3 (151 enodes) 38.862 * * [simplify]: iters left: 2 (225 enodes) 38.917 * * [simplify]: iters left: 1 (378 enodes) 39.037 * * [simplify]: Extracting #0: cost 1 inf + 0 39.037 * * [simplify]: Extracting #1: cost 7 inf + 0 39.037 * * [simplify]: Extracting #2: cost 13 inf + 1 39.037 * * [simplify]: Extracting #3: cost 42 inf + 1 39.038 * * [simplify]: Extracting #4: cost 113 inf + 125 39.040 * * [simplify]: Extracting #5: cost 135 inf + 2286 39.045 * * [simplify]: Extracting #6: cost 70 inf + 17118 39.062 * * [simplify]: Extracting #7: cost 3 inf + 56117 39.082 * * [simplify]: Extracting #8: cost 0 inf + 57613 39.106 * * [simplify]: Extracting #9: cost 0 inf + 57532 39.125 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 39.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 39.126 * * * * [progress]: [ 120 / 189 ] simplifiying candidate # 39.126 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.126 * * [simplify]: iters left: 6 (16 enodes) 39.131 * * [simplify]: iters left: 5 (66 enodes) 39.142 * * [simplify]: iters left: 4 (106 enodes) 39.161 * * [simplify]: iters left: 3 (151 enodes) 39.191 * * [simplify]: iters left: 2 (225 enodes) 39.247 * * [simplify]: iters left: 1 (378 enodes) 39.383 * * [simplify]: Extracting #0: cost 1 inf + 0 39.383 * * [simplify]: Extracting #1: cost 7 inf + 0 39.383 * * [simplify]: Extracting #2: cost 13 inf + 1 39.383 * * [simplify]: Extracting #3: cost 42 inf + 1 39.383 * * [simplify]: Extracting #4: cost 113 inf + 125 39.384 * * [simplify]: Extracting #5: cost 135 inf + 2286 39.387 * * [simplify]: Extracting #6: cost 70 inf + 17118 39.397 * * [simplify]: Extracting #7: cost 3 inf + 56117 39.422 * * [simplify]: Extracting #8: cost 0 inf + 57613 39.441 * * [simplify]: Extracting #9: cost 0 inf + 57532 39.457 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 39.457 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 39.457 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.458 * * [simplify]: iters left: 6 (16 enodes) 39.463 * * [simplify]: iters left: 5 (66 enodes) 39.474 * * [simplify]: iters left: 4 (106 enodes) 39.491 * * [simplify]: iters left: 3 (151 enodes) 39.536 * * [simplify]: iters left: 2 (225 enodes) 39.613 * * [simplify]: iters left: 1 (378 enodes) 39.734 * * [simplify]: Extracting #0: cost 1 inf + 0 39.734 * * [simplify]: Extracting #1: cost 7 inf + 0 39.734 * * [simplify]: Extracting #2: cost 13 inf + 1 39.734 * * [simplify]: Extracting #3: cost 42 inf + 1 39.734 * * [simplify]: Extracting #4: cost 113 inf + 125 39.735 * * [simplify]: Extracting #5: cost 135 inf + 2286 39.741 * * [simplify]: Extracting #6: cost 70 inf + 17118 39.750 * * [simplify]: Extracting #7: cost 3 inf + 56117 39.766 * * [simplify]: Extracting #8: cost 0 inf + 57613 39.782 * * [simplify]: Extracting #9: cost 0 inf + 57532 39.792 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 39.792 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 39.792 * * * * [progress]: [ 121 / 189 ] simplifiying candidate # 39.792 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 39.792 * * [simplify]: iters left: 6 (15 enodes) 39.796 * * [simplify]: iters left: 5 (63 enodes) 39.807 * * [simplify]: iters left: 4 (101 enodes) 39.835 * * [simplify]: iters left: 3 (147 enodes) 39.864 * * [simplify]: iters left: 2 (218 enodes) 39.928 * * [simplify]: iters left: 1 (379 enodes) 40.058 * * [simplify]: Extracting #0: cost 1 inf + 0 40.058 * * [simplify]: Extracting #1: cost 7 inf + 0 40.058 * * [simplify]: Extracting #2: cost 13 inf + 1 40.058 * * [simplify]: Extracting #3: cost 42 inf + 1 40.059 * * [simplify]: Extracting #4: cost 116 inf + 369 40.061 * * [simplify]: Extracting #5: cost 130 inf + 1704 40.066 * * [simplify]: Extracting #6: cost 64 inf + 16726 40.081 * * [simplify]: Extracting #7: cost 13 inf + 47688 40.101 * * [simplify]: Extracting #8: cost 0 inf + 58844 40.111 * * [simplify]: Extracting #9: cost 0 inf + 58170 40.121 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.121 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 40.121 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 40.121 * * [simplify]: iters left: 6 (15 enodes) 40.125 * * [simplify]: iters left: 5 (63 enodes) 40.137 * * [simplify]: iters left: 4 (101 enodes) 40.174 * * [simplify]: iters left: 3 (147 enodes) 40.207 * * [simplify]: iters left: 2 (218 enodes) 40.260 * * [simplify]: iters left: 1 (379 enodes) 40.405 * * [simplify]: Extracting #0: cost 1 inf + 0 40.405 * * [simplify]: Extracting #1: cost 7 inf + 0 40.405 * * [simplify]: Extracting #2: cost 13 inf + 1 40.405 * * [simplify]: Extracting #3: cost 42 inf + 1 40.406 * * [simplify]: Extracting #4: cost 116 inf + 369 40.407 * * [simplify]: Extracting #5: cost 130 inf + 1704 40.409 * * [simplify]: Extracting #6: cost 64 inf + 16726 40.417 * * [simplify]: Extracting #7: cost 13 inf + 47688 40.429 * * [simplify]: Extracting #8: cost 0 inf + 58844 40.448 * * [simplify]: Extracting #9: cost 0 inf + 58170 40.469 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.469 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 40.469 * * * * [progress]: [ 122 / 189 ] simplifiying candidate # 40.470 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 40.470 * * [simplify]: iters left: 6 (15 enodes) 40.478 * * [simplify]: iters left: 5 (63 enodes) 40.503 * * [simplify]: iters left: 4 (101 enodes) 40.520 * * [simplify]: iters left: 3 (147 enodes) 40.547 * * [simplify]: iters left: 2 (218 enodes) 40.629 * * [simplify]: iters left: 1 (379 enodes) 40.732 * * [simplify]: Extracting #0: cost 1 inf + 0 40.732 * * [simplify]: Extracting #1: cost 7 inf + 0 40.732 * * [simplify]: Extracting #2: cost 13 inf + 1 40.732 * * [simplify]: Extracting #3: cost 42 inf + 1 40.733 * * [simplify]: Extracting #4: cost 116 inf + 369 40.734 * * [simplify]: Extracting #5: cost 130 inf + 1704 40.736 * * [simplify]: Extracting #6: cost 64 inf + 16726 40.751 * * [simplify]: Extracting #7: cost 13 inf + 47688 40.768 * * [simplify]: Extracting #8: cost 0 inf + 58844 40.778 * * [simplify]: Extracting #9: cost 0 inf + 58170 40.791 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.791 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 40.792 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 40.792 * * [simplify]: iters left: 6 (15 enodes) 40.796 * * [simplify]: iters left: 5 (63 enodes) 40.806 * * [simplify]: iters left: 4 (101 enodes) 40.822 * * [simplify]: iters left: 3 (147 enodes) 40.856 * * [simplify]: iters left: 2 (218 enodes) 40.936 * * [simplify]: iters left: 1 (379 enodes) 41.071 * * [simplify]: Extracting #0: cost 1 inf + 0 41.071 * * [simplify]: Extracting #1: cost 7 inf + 0 41.071 * * [simplify]: Extracting #2: cost 13 inf + 1 41.071 * * [simplify]: Extracting #3: cost 42 inf + 1 41.071 * * [simplify]: Extracting #4: cost 116 inf + 369 41.072 * * [simplify]: Extracting #5: cost 130 inf + 1704 41.075 * * [simplify]: Extracting #6: cost 64 inf + 16726 41.082 * * [simplify]: Extracting #7: cost 13 inf + 47688 41.096 * * [simplify]: Extracting #8: cost 0 inf + 58844 41.477 * * [simplify]: Extracting #9: cost 0 inf + 58170 41.487 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.487 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 41.487 * * * * [progress]: [ 123 / 189 ] simplifiying candidate # 41.487 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 41.488 * * [simplify]: iters left: 6 (15 enodes) 41.493 * * [simplify]: iters left: 5 (64 enodes) 41.504 * * [simplify]: iters left: 4 (104 enodes) 41.526 * * [simplify]: iters left: 3 (167 enodes) 41.591 * * [simplify]: iters left: 2 (322 enodes) 41.674 * * [simplify]: Extracting #0: cost 1 inf + 0 41.675 * * [simplify]: Extracting #1: cost 34 inf + 0 41.675 * * [simplify]: Extracting #2: cost 104 inf + 0 41.676 * * [simplify]: Extracting #3: cost 158 inf + 2 41.677 * * [simplify]: Extracting #4: cost 169 inf + 181 41.680 * * [simplify]: Extracting #5: cost 141 inf + 4364 41.686 * * [simplify]: Extracting #6: cost 78 inf + 17501 41.702 * * [simplify]: Extracting #7: cost 14 inf + 62083 41.720 * * [simplify]: Extracting #8: cost 0 inf + 73201 41.731 * * [simplify]: Extracting #9: cost 0 inf + 72808 41.741 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 41.741 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 41.742 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 41.742 * * [simplify]: iters left: 6 (15 enodes) 41.746 * * [simplify]: iters left: 5 (64 enodes) 41.758 * * [simplify]: iters left: 4 (104 enodes) 41.778 * * [simplify]: iters left: 3 (167 enodes) 41.833 * * [simplify]: iters left: 2 (322 enodes) 41.909 * * [simplify]: Extracting #0: cost 1 inf + 0 41.909 * * [simplify]: Extracting #1: cost 34 inf + 0 41.910 * * [simplify]: Extracting #2: cost 104 inf + 0 41.911 * * [simplify]: Extracting #3: cost 158 inf + 2 41.912 * * [simplify]: Extracting #4: cost 169 inf + 181 41.914 * * [simplify]: Extracting #5: cost 141 inf + 4364 41.920 * * [simplify]: Extracting #6: cost 78 inf + 17501 41.936 * * [simplify]: Extracting #7: cost 14 inf + 62083 41.949 * * [simplify]: Extracting #8: cost 0 inf + 73201 41.963 * * [simplify]: Extracting #9: cost 0 inf + 72808 41.977 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 41.977 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 41.978 * * * * [progress]: [ 124 / 189 ] simplifiying candidate # 41.978 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 41.978 * * [simplify]: iters left: 6 (16 enodes) 41.988 * * [simplify]: iters left: 5 (69 enodes) 42.010 * * [simplify]: iters left: 4 (113 enodes) 42.031 * * [simplify]: iters left: 3 (191 enodes) 42.092 * * [simplify]: iters left: 2 (381 enodes) 42.247 * * [simplify]: Extracting #0: cost 1 inf + 0 42.247 * * [simplify]: Extracting #1: cost 36 inf + 0 42.247 * * [simplify]: Extracting #2: cost 108 inf + 1 42.248 * * [simplify]: Extracting #3: cost 166 inf + 2 42.249 * * [simplify]: Extracting #4: cost 169 inf + 515 42.252 * * [simplify]: Extracting #5: cost 113 inf + 8876 42.265 * * [simplify]: Extracting #6: cost 32 inf + 47645 42.287 * * [simplify]: Extracting #7: cost 1 inf + 73967 42.315 * * [simplify]: Extracting #8: cost 0 inf + 74565 42.337 * * [simplify]: Extracting #9: cost 0 inf + 74525 42.355 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 42.355 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 42.355 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 42.355 * * [simplify]: iters left: 6 (16 enodes) 42.360 * * [simplify]: iters left: 5 (69 enodes) 42.372 * * [simplify]: iters left: 4 (113 enodes) 42.391 * * [simplify]: iters left: 3 (191 enodes) 42.432 * * [simplify]: iters left: 2 (381 enodes) 42.559 * * [simplify]: Extracting #0: cost 1 inf + 0 42.559 * * [simplify]: Extracting #1: cost 36 inf + 0 42.560 * * [simplify]: Extracting #2: cost 108 inf + 1 42.561 * * [simplify]: Extracting #3: cost 166 inf + 2 42.563 * * [simplify]: Extracting #4: cost 169 inf + 515 42.567 * * [simplify]: Extracting #5: cost 113 inf + 8876 42.580 * * [simplify]: Extracting #6: cost 32 inf + 47645 42.607 * * [simplify]: Extracting #7: cost 1 inf + 73967 42.624 * * [simplify]: Extracting #8: cost 0 inf + 74565 42.636 * * [simplify]: Extracting #9: cost 0 inf + 74525 42.647 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 42.647 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 42.647 * * * * [progress]: [ 125 / 189 ] simplifiying candidate # 42.648 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 42.648 * * [simplify]: iters left: 6 (16 enodes) 42.653 * * [simplify]: iters left: 5 (69 enodes) 42.676 * * [simplify]: iters left: 4 (113 enodes) 42.714 * * [simplify]: iters left: 3 (191 enodes) 42.782 * * [simplify]: iters left: 2 (381 enodes) 42.884 * * [simplify]: Extracting #0: cost 1 inf + 0 42.884 * * [simplify]: Extracting #1: cost 36 inf + 0 42.885 * * [simplify]: Extracting #2: cost 108 inf + 1 42.885 * * [simplify]: Extracting #3: cost 166 inf + 2 42.886 * * [simplify]: Extracting #4: cost 169 inf + 515 42.891 * * [simplify]: Extracting #5: cost 113 inf + 8876 42.902 * * [simplify]: Extracting #6: cost 32 inf + 47645 42.925 * * [simplify]: Extracting #7: cost 1 inf + 73967 42.948 * * [simplify]: Extracting #8: cost 0 inf + 74565 42.966 * * [simplify]: Extracting #9: cost 0 inf + 74525 42.977 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 42.977 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 42.978 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 42.978 * * [simplify]: iters left: 6 (16 enodes) 42.983 * * [simplify]: iters left: 5 (69 enodes) 42.999 * * [simplify]: iters left: 4 (113 enodes) 43.033 * * [simplify]: iters left: 3 (191 enodes) 43.074 * * [simplify]: iters left: 2 (381 enodes) 43.185 * * [simplify]: Extracting #0: cost 1 inf + 0 43.185 * * [simplify]: Extracting #1: cost 36 inf + 0 43.186 * * [simplify]: Extracting #2: cost 108 inf + 1 43.187 * * [simplify]: Extracting #3: cost 166 inf + 2 43.189 * * [simplify]: Extracting #4: cost 169 inf + 515 43.192 * * [simplify]: Extracting #5: cost 113 inf + 8876 43.206 * * [simplify]: Extracting #6: cost 32 inf + 47645 43.228 * * [simplify]: Extracting #7: cost 1 inf + 73967 43.251 * * [simplify]: Extracting #8: cost 0 inf + 74565 43.276 * * [simplify]: Extracting #9: cost 0 inf + 74525 43.299 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.299 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 43.299 * * * * [progress]: [ 126 / 189 ] simplifiying candidate # 43.299 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 43.300 * * [simplify]: iters left: 6 (15 enodes) 43.305 * * [simplify]: iters left: 5 (66 enodes) 43.318 * * [simplify]: iters left: 4 (112 enodes) 43.352 * * [simplify]: iters left: 3 (196 enodes) 43.396 * * [simplify]: iters left: 2 (392 enodes) 43.564 * * [simplify]: Extracting #0: cost 1 inf + 0 43.564 * * [simplify]: Extracting #1: cost 39 inf + 0 43.565 * * [simplify]: Extracting #2: cost 125 inf + 1 43.566 * * [simplify]: Extracting #3: cost 179 inf + 3 43.567 * * [simplify]: Extracting #4: cost 183 inf + 349 43.571 * * [simplify]: Extracting #5: cost 137 inf + 7229 43.582 * * [simplify]: Extracting #6: cost 62 inf + 37166 43.605 * * [simplify]: Extracting #7: cost 3 inf + 82288 43.621 * * [simplify]: Extracting #8: cost 0 inf + 84912 43.635 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.636 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 43.636 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 43.636 * * [simplify]: iters left: 6 (15 enodes) 43.640 * * [simplify]: iters left: 5 (66 enodes) 43.662 * * [simplify]: iters left: 4 (112 enodes) 43.703 * * [simplify]: iters left: 3 (196 enodes) 43.786 * * [simplify]: iters left: 2 (392 enodes) 43.960 * * [simplify]: Extracting #0: cost 1 inf + 0 43.960 * * [simplify]: Extracting #1: cost 39 inf + 0 43.960 * * [simplify]: Extracting #2: cost 125 inf + 1 43.961 * * [simplify]: Extracting #3: cost 179 inf + 3 43.962 * * [simplify]: Extracting #4: cost 183 inf + 349 43.963 * * [simplify]: Extracting #5: cost 137 inf + 7229 43.973 * * [simplify]: Extracting #6: cost 62 inf + 37166 43.996 * * [simplify]: Extracting #7: cost 3 inf + 82288 44.010 * * [simplify]: Extracting #8: cost 0 inf + 84912 44.024 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.025 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.025 * * * * [progress]: [ 127 / 189 ] simplifiying candidate # 44.025 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.025 * * [simplify]: iters left: 6 (15 enodes) 44.033 * * [simplify]: iters left: 5 (66 enodes) 44.050 * * [simplify]: iters left: 4 (112 enodes) 44.072 * * [simplify]: iters left: 3 (196 enodes) 44.150 * * [simplify]: iters left: 2 (392 enodes) 44.276 * * [simplify]: Extracting #0: cost 1 inf + 0 44.276 * * [simplify]: Extracting #1: cost 39 inf + 0 44.277 * * [simplify]: Extracting #2: cost 125 inf + 1 44.279 * * [simplify]: Extracting #3: cost 179 inf + 3 44.280 * * [simplify]: Extracting #4: cost 183 inf + 349 44.284 * * [simplify]: Extracting #5: cost 137 inf + 7229 44.295 * * [simplify]: Extracting #6: cost 62 inf + 37166 44.315 * * [simplify]: Extracting #7: cost 3 inf + 82288 44.332 * * [simplify]: Extracting #8: cost 0 inf + 84912 44.353 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.353 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 44.353 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.354 * * [simplify]: iters left: 6 (15 enodes) 44.362 * * [simplify]: iters left: 5 (66 enodes) 44.385 * * [simplify]: iters left: 4 (112 enodes) 44.426 * * [simplify]: iters left: 3 (196 enodes) 44.481 * * [simplify]: iters left: 2 (392 enodes) 44.663 * * [simplify]: Extracting #0: cost 1 inf + 0 44.663 * * [simplify]: Extracting #1: cost 39 inf + 0 44.663 * * [simplify]: Extracting #2: cost 125 inf + 1 44.664 * * [simplify]: Extracting #3: cost 179 inf + 3 44.665 * * [simplify]: Extracting #4: cost 183 inf + 349 44.667 * * [simplify]: Extracting #5: cost 137 inf + 7229 44.672 * * [simplify]: Extracting #6: cost 62 inf + 37166 44.686 * * [simplify]: Extracting #7: cost 3 inf + 82288 44.713 * * [simplify]: Extracting #8: cost 0 inf + 84912 44.741 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.741 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.742 * * * * [progress]: [ 128 / 189 ] simplifiying candidate # 44.742 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 44.742 * * [simplify]: iters left: 4 (5 enodes) 44.743 * * [simplify]: iters left: 3 (17 enodes) 44.746 * * [simplify]: iters left: 2 (19 enodes) 44.749 * * [simplify]: Extracting #0: cost 1 inf + 0 44.749 * * [simplify]: Extracting #1: cost 3 inf + 0 44.749 * * [simplify]: Extracting #2: cost 6 inf + 0 44.749 * * [simplify]: Extracting #3: cost 7 inf + 1 44.749 * * [simplify]: Extracting #4: cost 0 inf + 572 44.749 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 44.749 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 44.749 * * * * [progress]: [ 129 / 189 ] simplifiying candidate # 44.750 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 44.750 * * [simplify]: iters left: 4 (5 enodes) 44.751 * * [simplify]: iters left: 3 (17 enodes) 44.754 * * [simplify]: iters left: 2 (19 enodes) 44.756 * * [simplify]: Extracting #0: cost 1 inf + 0 44.756 * * [simplify]: Extracting #1: cost 3 inf + 0 44.756 * * [simplify]: Extracting #2: cost 6 inf + 0 44.756 * * [simplify]: Extracting #3: cost 7 inf + 1 44.757 * * [simplify]: Extracting #4: cost 0 inf + 492 44.757 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 44.757 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 44.757 * * * * [progress]: [ 130 / 189 ] simplifiying candidate # 44.757 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 44.757 * * [simplify]: iters left: 4 (6 enodes) 44.761 * * [simplify]: iters left: 3 (20 enodes) 44.764 * * [simplify]: iters left: 2 (22 enodes) 44.768 * * [simplify]: Extracting #0: cost 1 inf + 0 44.768 * * [simplify]: Extracting #1: cost 4 inf + 0 44.768 * * [simplify]: Extracting #2: cost 5 inf + 1 44.768 * * [simplify]: Extracting #3: cost 7 inf + 1 44.768 * * [simplify]: Extracting #4: cost 1 inf + 488 44.768 * * [simplify]: Extracting #5: cost 0 inf + 650 44.768 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 44.768 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 44.768 * * * * [progress]: [ 131 / 189 ] simplifiying candidate # 44.768 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 44.769 * * [simplify]: iters left: 4 (6 enodes) 44.771 * * [simplify]: iters left: 3 (20 enodes) 44.774 * * [simplify]: iters left: 2 (22 enodes) 44.780 * * [simplify]: Extracting #0: cost 1 inf + 0 44.780 * * [simplify]: Extracting #1: cost 4 inf + 0 44.780 * * [simplify]: Extracting #2: cost 5 inf + 1 44.780 * * [simplify]: Extracting #3: cost 7 inf + 1 44.780 * * [simplify]: Extracting #4: cost 1 inf + 568 44.780 * * [simplify]: Extracting #5: cost 0 inf + 730 44.781 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 44.781 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 44.781 * * * * [progress]: [ 132 / 189 ] simplifiying candidate # 44.781 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 44.781 * * [simplify]: iters left: 4 (6 enodes) 44.785 * * [simplify]: iters left: 3 (20 enodes) 44.791 * * [simplify]: iters left: 2 (22 enodes) 44.797 * * [simplify]: Extracting #0: cost 1 inf + 0 44.797 * * [simplify]: Extracting #1: cost 4 inf + 0 44.797 * * [simplify]: Extracting #2: cost 5 inf + 1 44.797 * * [simplify]: Extracting #3: cost 7 inf + 1 44.797 * * [simplify]: Extracting #4: cost 1 inf + 368 44.797 * * [simplify]: Extracting #5: cost 0 inf + 490 44.797 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 44.798 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 44.798 * * * * [progress]: [ 133 / 189 ] simplifiying candidate # 44.798 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 44.798 * * [simplify]: iters left: 3 (5 enodes) 44.802 * * [simplify]: iters left: 2 (17 enodes) 44.807 * * [simplify]: iters left: 1 (19 enodes) 44.813 * * [simplify]: Extracting #0: cost 1 inf + 0 44.813 * * [simplify]: Extracting #1: cost 4 inf + 0 44.813 * * [simplify]: Extracting #2: cost 5 inf + 1 44.813 * * [simplify]: Extracting #3: cost 0 inf + 248 44.813 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k)))) 44.814 * * * * [progress]: [ 134 / 189 ] simplifiying candidate # 44.814 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 44.814 * * [simplify]: iters left: 4 (6 enodes) 44.818 * * [simplify]: iters left: 3 (20 enodes) 44.824 * * [simplify]: iters left: 2 (22 enodes) 44.830 * * [simplify]: Extracting #0: cost 1 inf + 0 44.830 * * [simplify]: Extracting #1: cost 4 inf + 0 44.830 * * [simplify]: Extracting #2: cost 5 inf + 1 44.830 * * [simplify]: Extracting #3: cost 7 inf + 1 44.830 * * [simplify]: Extracting #4: cost 1 inf + 368 44.830 * * [simplify]: Extracting #5: cost 0 inf + 490 44.830 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 44.830 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 44.831 * * * * [progress]: [ 135 / 189 ] simplifiying candidate # 44.831 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 44.831 * * [simplify]: iters left: 3 (5 enodes) 44.835 * * [simplify]: iters left: 2 (17 enodes) 44.840 * * [simplify]: iters left: 1 (19 enodes) 44.845 * * [simplify]: Extracting #0: cost 1 inf + 0 44.846 * * [simplify]: Extracting #1: cost 4 inf + 0 44.846 * * [simplify]: Extracting #2: cost 5 inf + 1 44.846 * * [simplify]: Extracting #3: cost 0 inf + 248 44.846 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.846 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k)))) 44.846 * * * * [progress]: [ 136 / 189 ] simplifiying candidate # 44.847 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 44.847 * * [simplify]: iters left: 4 (6 enodes) 44.851 * * [simplify]: iters left: 3 (20 enodes) 44.856 * * [simplify]: iters left: 2 (22 enodes) 44.863 * * [simplify]: Extracting #0: cost 1 inf + 0 44.863 * * [simplify]: Extracting #1: cost 4 inf + 0 44.863 * * [simplify]: Extracting #2: cost 5 inf + 1 44.863 * * [simplify]: Extracting #3: cost 7 inf + 1 44.863 * * [simplify]: Extracting #4: cost 1 inf + 488 44.863 * * [simplify]: Extracting #5: cost 0 inf + 650 44.863 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 44.863 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 44.864 * * * * [progress]: [ 137 / 189 ] simplifiying candidate # 44.864 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 44.864 * * [simplify]: iters left: 4 (6 enodes) 44.868 * * [simplify]: iters left: 3 (20 enodes) 44.873 * * [simplify]: iters left: 2 (22 enodes) 44.879 * * [simplify]: Extracting #0: cost 1 inf + 0 44.879 * * [simplify]: Extracting #1: cost 4 inf + 0 44.880 * * [simplify]: Extracting #2: cost 5 inf + 1 44.880 * * [simplify]: Extracting #3: cost 7 inf + 1 44.880 * * [simplify]: Extracting #4: cost 1 inf + 568 44.880 * * [simplify]: Extracting #5: cost 0 inf + 730 44.880 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 44.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 44.880 * * * * [progress]: [ 138 / 189 ] simplifiying candidate # 44.881 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 44.881 * * [simplify]: iters left: 4 (6 enodes) 44.884 * * [simplify]: iters left: 3 (20 enodes) 44.890 * * [simplify]: iters left: 2 (22 enodes) 44.893 * * [simplify]: Extracting #0: cost 1 inf + 0 44.893 * * [simplify]: Extracting #1: cost 4 inf + 0 44.893 * * [simplify]: Extracting #2: cost 5 inf + 1 44.893 * * [simplify]: Extracting #3: cost 7 inf + 1 44.893 * * [simplify]: Extracting #4: cost 1 inf + 368 44.893 * * [simplify]: Extracting #5: cost 0 inf + 490 44.893 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 44.893 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 44.894 * * * * [progress]: [ 139 / 189 ] simplifiying candidate # 44.894 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 44.894 * * [simplify]: iters left: 3 (5 enodes) 44.896 * * [simplify]: iters left: 2 (17 enodes) 44.899 * * [simplify]: iters left: 1 (19 enodes) 44.903 * * [simplify]: Extracting #0: cost 1 inf + 0 44.903 * * [simplify]: Extracting #1: cost 4 inf + 0 44.903 * * [simplify]: Extracting #2: cost 5 inf + 1 44.903 * * [simplify]: Extracting #3: cost 0 inf + 248 44.903 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.903 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k)))) 44.903 * * * * [progress]: [ 140 / 189 ] simplifiying candidate # 44.903 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 44.903 * * [simplify]: iters left: 4 (6 enodes) 44.905 * * [simplify]: iters left: 3 (20 enodes) 44.908 * * [simplify]: iters left: 2 (22 enodes) 44.912 * * [simplify]: Extracting #0: cost 1 inf + 0 44.912 * * [simplify]: Extracting #1: cost 4 inf + 0 44.912 * * [simplify]: Extracting #2: cost 5 inf + 1 44.912 * * [simplify]: Extracting #3: cost 7 inf + 1 44.912 * * [simplify]: Extracting #4: cost 1 inf + 368 44.912 * * [simplify]: Extracting #5: cost 0 inf + 490 44.912 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 44.912 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 44.912 * * * * [progress]: [ 141 / 189 ] simplifiying candidate # 44.912 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 44.912 * * [simplify]: iters left: 3 (5 enodes) 44.915 * * [simplify]: iters left: 2 (17 enodes) 44.917 * * [simplify]: iters left: 1 (19 enodes) 44.923 * * [simplify]: Extracting #0: cost 1 inf + 0 44.923 * * [simplify]: Extracting #1: cost 4 inf + 0 44.923 * * [simplify]: Extracting #2: cost 5 inf + 1 44.923 * * [simplify]: Extracting #3: cost 0 inf + 248 44.923 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.923 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k)))) 44.923 * * * * [progress]: [ 142 / 189 ] simplifiying candidate # 44.924 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 44.924 * * [simplify]: iters left: 4 (5 enodes) 44.926 * * [simplify]: iters left: 3 (17 enodes) 44.931 * * [simplify]: iters left: 2 (19 enodes) 44.935 * * [simplify]: Extracting #0: cost 1 inf + 0 44.935 * * [simplify]: Extracting #1: cost 4 inf + 0 44.935 * * [simplify]: Extracting #2: cost 5 inf + 1 44.935 * * [simplify]: Extracting #3: cost 7 inf + 1 44.935 * * [simplify]: Extracting #4: cost 0 inf + 650 44.935 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 44.935 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 44.936 * * * * [progress]: [ 143 / 189 ] simplifiying candidate # 44.936 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 44.936 * * [simplify]: iters left: 4 (5 enodes) 44.937 * * [simplify]: iters left: 3 (17 enodes) 44.940 * * [simplify]: iters left: 2 (19 enodes) 44.943 * * [simplify]: Extracting #0: cost 1 inf + 0 44.943 * * [simplify]: Extracting #1: cost 4 inf + 0 44.943 * * [simplify]: Extracting #2: cost 5 inf + 1 44.943 * * [simplify]: Extracting #3: cost 7 inf + 1 44.943 * * [simplify]: Extracting #4: cost 0 inf + 730 44.943 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 44.943 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 44.943 * * * * [progress]: [ 144 / 189 ] simplifiying candidate # 44.943 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 44.943 * * [simplify]: iters left: 4 (5 enodes) 44.945 * * [simplify]: iters left: 3 (17 enodes) 44.947 * * [simplify]: iters left: 2 (19 enodes) 44.950 * * [simplify]: Extracting #0: cost 1 inf + 0 44.950 * * [simplify]: Extracting #1: cost 4 inf + 0 44.950 * * [simplify]: Extracting #2: cost 5 inf + 1 44.950 * * [simplify]: Extracting #3: cost 7 inf + 1 44.950 * * [simplify]: Extracting #4: cost 0 inf + 490 44.950 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 44.950 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 44.951 * * * * [progress]: [ 145 / 189 ] simplifiying candidate # 44.951 * [simplify]: Simplifying (/ 1 (sqrt k)) 44.951 * * [simplify]: iters left: 3 (4 enodes) 44.952 * * [simplify]: iters left: 2 (14 enodes) 44.954 * * [simplify]: iters left: 1 (16 enodes) 44.956 * * [simplify]: Extracting #0: cost 1 inf + 0 44.957 * * [simplify]: Extracting #1: cost 4 inf + 0 44.957 * * [simplify]: Extracting #2: cost 5 inf + 1 44.957 * * [simplify]: Extracting #3: cost 3 inf + 43 44.957 * * [simplify]: Extracting #4: cost 1 inf + 166 44.957 * * [simplify]: Extracting #5: cost 0 inf + 248 44.957 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.957 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k)))) 44.957 * * * * [progress]: [ 146 / 189 ] simplifiying candidate # 44.957 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 44.957 * * [simplify]: iters left: 4 (5 enodes) 44.958 * * [simplify]: iters left: 3 (17 enodes) 44.961 * * [simplify]: iters left: 2 (19 enodes) 44.964 * * [simplify]: Extracting #0: cost 1 inf + 0 44.964 * * [simplify]: Extracting #1: cost 4 inf + 0 44.964 * * [simplify]: Extracting #2: cost 5 inf + 1 44.964 * * [simplify]: Extracting #3: cost 7 inf + 1 44.965 * * [simplify]: Extracting #4: cost 0 inf + 490 44.965 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 44.965 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 44.965 * * * * [progress]: [ 147 / 189 ] simplifiying candidate # 44.965 * [simplify]: Simplifying (/ 1 (sqrt k)) 44.965 * * [simplify]: iters left: 3 (4 enodes) 44.967 * * [simplify]: iters left: 2 (14 enodes) 44.971 * * [simplify]: iters left: 1 (16 enodes) 44.977 * * [simplify]: Extracting #0: cost 1 inf + 0 44.977 * * [simplify]: Extracting #1: cost 4 inf + 0 44.977 * * [simplify]: Extracting #2: cost 5 inf + 1 44.977 * * [simplify]: Extracting #3: cost 3 inf + 43 44.977 * * [simplify]: Extracting #4: cost 1 inf + 166 44.977 * * [simplify]: Extracting #5: cost 0 inf + 248 44.977 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.977 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k)))) 44.977 * * * * [progress]: [ 148 / 189 ] simplifiying candidate # 44.978 * [simplify]: Simplifying (/ 1 (sqrt k)) 44.978 * * [simplify]: iters left: 3 (4 enodes) 44.980 * * [simplify]: iters left: 2 (14 enodes) 44.985 * * [simplify]: iters left: 1 (16 enodes) 44.989 * * [simplify]: Extracting #0: cost 1 inf + 0 44.989 * * [simplify]: Extracting #1: cost 4 inf + 0 44.990 * * [simplify]: Extracting #2: cost 5 inf + 1 44.990 * * [simplify]: Extracting #3: cost 3 inf + 43 44.990 * * [simplify]: Extracting #4: cost 1 inf + 166 44.990 * * [simplify]: Extracting #5: cost 0 inf + 248 44.990 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.990 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 44.990 * * * * [progress]: [ 149 / 189 ] simplifiying candidate # 44.990 * [simplify]: Simplifying (/ 1 (sqrt k)) 44.991 * * [simplify]: iters left: 3 (4 enodes) 44.993 * * [simplify]: iters left: 2 (14 enodes) 44.998 * * [simplify]: iters left: 1 (16 enodes) 45.003 * * [simplify]: Extracting #0: cost 1 inf + 0 45.003 * * [simplify]: Extracting #1: cost 4 inf + 0 45.003 * * [simplify]: Extracting #2: cost 5 inf + 1 45.003 * * [simplify]: Extracting #3: cost 3 inf + 43 45.003 * * [simplify]: Extracting #4: cost 1 inf + 166 45.003 * * [simplify]: Extracting #5: cost 0 inf + 248 45.003 * [simplify]: Simplified to (/ 1 (sqrt k)) 45.003 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 45.003 * * * * [progress]: [ 150 / 189 ] simplifiying candidate # 45.004 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 45.004 * * [simplify]: iters left: 5 (7 enodes) 45.008 * * [simplify]: iters left: 4 (32 enodes) 45.022 * * [simplify]: iters left: 3 (57 enodes) 45.040 * * [simplify]: iters left: 2 (88 enodes) 45.056 * * [simplify]: iters left: 1 (156 enodes) 45.097 * * [simplify]: Extracting #0: cost 1 inf + 0 45.097 * * [simplify]: Extracting #1: cost 13 inf + 0 45.097 * * [simplify]: Extracting #2: cost 49 inf + 2 45.097 * * [simplify]: Extracting #3: cost 80 inf + 6 45.098 * * [simplify]: Extracting #4: cost 58 inf + 1840 45.099 * * [simplify]: Extracting #5: cost 22 inf + 9206 45.102 * * [simplify]: Extracting #6: cost 1 inf + 20886 45.105 * * [simplify]: Extracting #7: cost 0 inf + 21301 45.108 * * [simplify]: Extracting #8: cost 0 inf + 21130 45.113 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 45.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 45.113 * * * * [progress]: [ 151 / 189 ] simplifiying candidate # 45.114 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 45.114 * * [simplify]: iters left: 6 (12 enodes) 45.117 * * [simplify]: iters left: 5 (51 enodes) 45.134 * * [simplify]: iters left: 4 (84 enodes) 45.160 * * [simplify]: iters left: 3 (125 enodes) 45.183 * * [simplify]: iters left: 2 (198 enodes) 45.234 * * [simplify]: iters left: 1 (353 enodes) 45.403 * * [simplify]: Extracting #0: cost 1 inf + 0 45.403 * * [simplify]: Extracting #1: cost 3 inf + 0 45.403 * * [simplify]: Extracting #2: cost 5 inf + 0 45.403 * * [simplify]: Extracting #3: cost 28 inf + 0 45.404 * * [simplify]: Extracting #4: cost 101 inf + 1 45.404 * * [simplify]: Extracting #5: cost 136 inf + 176 45.406 * * [simplify]: Extracting #6: cost 127 inf + 1730 45.411 * * [simplify]: Extracting #7: cost 68 inf + 14428 45.425 * * [simplify]: Extracting #8: cost 24 inf + 38979 45.446 * * [simplify]: Extracting #9: cost 0 inf + 59741 45.471 * * [simplify]: Extracting #10: cost 0 inf + 57850 45.490 * * [simplify]: Extracting #11: cost 0 inf + 57436 45.501 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 45.501 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 45.501 * * * * [progress]: [ 152 / 189 ] simplifiying candidate # 45.502 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 45.502 * * [simplify]: iters left: 6 (11 enodes) 45.505 * * [simplify]: iters left: 5 (48 enodes) 45.516 * * [simplify]: iters left: 4 (78 enodes) 45.542 * * [simplify]: iters left: 3 (120 enodes) 45.577 * * [simplify]: iters left: 2 (211 enodes) 45.627 * * [simplify]: iters left: 1 (378 enodes) 45.762 * * [simplify]: Extracting #0: cost 1 inf + 0 45.762 * * [simplify]: Extracting #1: cost 4 inf + 0 45.762 * * [simplify]: Extracting #2: cost 28 inf + 0 45.762 * * [simplify]: Extracting #3: cost 111 inf + 1 45.764 * * [simplify]: Extracting #4: cost 151 inf + 220 45.770 * * [simplify]: Extracting #5: cost 149 inf + 601 45.772 * * [simplify]: Extracting #6: cost 109 inf + 5630 45.781 * * [simplify]: Extracting #7: cost 43 inf + 25793 45.798 * * [simplify]: Extracting #8: cost 5 inf + 52343 45.820 * * [simplify]: Extracting #9: cost 0 inf + 56629 45.842 * * [simplify]: Extracting #10: cost 0 inf + 55972 45.863 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 45.864 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 45.864 * * * * [progress]: [ 153 / 189 ] simplifiying candidate # 45.864 * * * * [progress]: [ 154 / 189 ] simplifiying candidate # 45.864 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 45.864 * * [simplify]: iters left: 6 (11 enodes) 45.868 * * [simplify]: iters left: 5 (51 enodes) 45.877 * * [simplify]: iters left: 4 (87 enodes) 45.893 * * [simplify]: iters left: 3 (143 enodes) 45.935 * * [simplify]: iters left: 2 (259 enodes) 45.998 * * [simplify]: iters left: 1 (467 enodes) 46.207 * * [simplify]: Extracting #0: cost 1 inf + 0 46.207 * * [simplify]: Extracting #1: cost 23 inf + 0 46.208 * * [simplify]: Extracting #2: cost 99 inf + 1 46.209 * * [simplify]: Extracting #3: cost 180 inf + 178 46.211 * * [simplify]: Extracting #4: cost 162 inf + 2505 46.218 * * [simplify]: Extracting #5: cost 78 inf + 12096 46.229 * * [simplify]: Extracting #6: cost 33 inf + 29460 46.249 * * [simplify]: Extracting #7: cost 1 inf + 56926 46.268 * * [simplify]: Extracting #8: cost 0 inf + 57804 46.287 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 46.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))))) 46.288 * * * * [progress]: [ 155 / 189 ] simplifiying candidate # 46.288 * [simplify]: Simplifying (sqrt k) 46.288 * * [simplify]: iters left: 1 (2 enodes) 46.289 * * [simplify]: Extracting #0: cost 1 inf + 0 46.289 * * [simplify]: Extracting #1: cost 3 inf + 0 46.289 * * [simplify]: Extracting #2: cost 2 inf + 1 46.289 * * [simplify]: Extracting #3: cost 0 inf + 83 46.289 * [simplify]: Simplified to (sqrt k) 46.289 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 46.289 * * * * [progress]: [ 156 / 189 ] simplifiying candidate # 46.290 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 46.290 * * [simplify]: iters left: 6 (12 enodes) 46.298 * * [simplify]: iters left: 5 (50 enodes) 46.317 * * [simplify]: iters left: 4 (88 enodes) 46.343 * * [simplify]: iters left: 3 (169 enodes) 46.395 * * [simplify]: iters left: 2 (291 enodes) 46.539 * * [simplify]: Extracting #0: cost 1 inf + 0 46.540 * * [simplify]: Extracting #1: cost 31 inf + 0 46.540 * * [simplify]: Extracting #2: cost 95 inf + 1 46.541 * * [simplify]: Extracting #3: cost 95 inf + 50 46.542 * * [simplify]: Extracting #4: cost 85 inf + 844 46.547 * * [simplify]: Extracting #5: cost 34 inf + 22508 46.559 * * [simplify]: Extracting #6: cost 0 inf + 45097 46.571 * * [simplify]: Extracting #7: cost 0 inf + 44362 46.584 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 46.585 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 46.585 * * * * [progress]: [ 157 / 189 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 46.585 * * * * [progress]: [ 158 / 189 ] simplifiying candidate # 46.585 * * * * [progress]: [ 159 / 189 ] simplifiying candidate # 46.585 * [simplify]: Simplifying (* n (* 2 PI)) 46.585 * * [simplify]: iters left: 4 (5 enodes) 46.588 * * [simplify]: iters left: 3 (19 enodes) 46.594 * * [simplify]: iters left: 2 (27 enodes) 46.598 * * [simplify]: iters left: 1 (32 enodes) 46.606 * * [simplify]: Extracting #0: cost 1 inf + 0 46.606 * * [simplify]: Extracting #1: cost 8 inf + 0 46.606 * * [simplify]: Extracting #2: cost 7 inf + 45 46.607 * * [simplify]: Extracting #3: cost 0 inf + 421 46.607 * [simplify]: Simplified to (* (* PI 2) n) 46.607 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 46.607 * * * * [progress]: [ 160 / 189 ] simplifiying candidate # 46.607 * [simplify]: Simplifying (* n (* 2 PI)) 46.607 * * [simplify]: iters left: 4 (5 enodes) 46.610 * * [simplify]: iters left: 3 (19 enodes) 46.616 * * [simplify]: iters left: 2 (27 enodes) 46.624 * * [simplify]: iters left: 1 (32 enodes) 46.632 * * [simplify]: Extracting #0: cost 1 inf + 0 46.632 * * [simplify]: Extracting #1: cost 8 inf + 0 46.632 * * [simplify]: Extracting #2: cost 7 inf + 45 46.632 * * [simplify]: Extracting #3: cost 0 inf + 421 46.633 * [simplify]: Simplified to (* (* PI 2) n) 46.633 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 46.633 * * * * [progress]: [ 161 / 189 ] simplifiying candidate # 46.633 * * * * [progress]: [ 162 / 189 ] simplifiying candidate # 46.633 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 46.633 * * [simplify]: iters left: 5 (8 enodes) 46.638 * * [simplify]: iters left: 4 (28 enodes) 46.646 * * [simplify]: iters left: 3 (36 enodes) 46.657 * * [simplify]: iters left: 2 (42 enodes) 46.667 * * [simplify]: Extracting #0: cost 1 inf + 0 46.667 * * [simplify]: Extracting #1: cost 8 inf + 0 46.667 * * [simplify]: Extracting #2: cost 17 inf + 0 46.668 * * [simplify]: Extracting #3: cost 12 inf + 145 46.668 * * [simplify]: Extracting #4: cost 5 inf + 1197 46.668 * * [simplify]: Extracting #5: cost 1 inf + 1925 46.669 * * [simplify]: Extracting #6: cost 0 inf + 2107 46.670 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 46.670 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 46.670 * * * * [progress]: [ 163 / 189 ] simplifiying candidate # 46.670 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 46.670 * * [simplify]: iters left: 5 (7 enodes) 46.674 * * [simplify]: iters left: 4 (26 enodes) 46.685 * * [simplify]: iters left: 3 (35 enodes) 46.694 * * [simplify]: iters left: 2 (44 enodes) 46.706 * * [simplify]: Extracting #0: cost 1 inf + 0 46.706 * * [simplify]: Extracting #1: cost 8 inf + 0 46.706 * * [simplify]: Extracting #2: cost 18 inf + 0 46.706 * * [simplify]: Extracting #3: cost 15 inf + 74 46.706 * * [simplify]: Extracting #4: cost 8 inf + 554 46.707 * * [simplify]: Extracting #5: cost 0 inf + 1911 46.707 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 46.707 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 46.708 * * * * [progress]: [ 164 / 189 ] simplifiying candidate # 46.708 * * * * [progress]: [ 165 / 189 ] simplifiying candidate # 46.708 * * * * [progress]: [ 166 / 189 ] simplifiying candidate # 46.708 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 46.708 * * [simplify]: iters left: 6 (11 enodes) 46.717 * * [simplify]: iters left: 5 (48 enodes) 46.735 * * [simplify]: iters left: 4 (121 enodes) 46.792 * * [simplify]: iters left: 3 (348 enodes) 46.936 * * [simplify]: Extracting #0: cost 1 inf + 0 46.936 * * [simplify]: Extracting #1: cost 67 inf + 0 46.937 * * [simplify]: Extracting #2: cost 165 inf + 786 46.940 * * [simplify]: Extracting #3: cost 85 inf + 10177 46.950 * * [simplify]: Extracting #4: cost 9 inf + 26399 46.963 * * [simplify]: Extracting #5: cost 0 inf + 28546 46.976 * * [simplify]: Extracting #6: cost 0 inf + 28506 46.989 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 46.989 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 46.990 * * * * [progress]: [ 167 / 189 ] simplifiying candidate # 46.990 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 46.990 * * [simplify]: iters left: 6 (9 enodes) 46.996 * * [simplify]: iters left: 5 (45 enodes) 47.011 * * [simplify]: iters left: 4 (117 enodes) 47.048 * * [simplify]: iters left: 3 (374 enodes) 47.344 * * [simplify]: Extracting #0: cost 1 inf + 0 47.344 * * [simplify]: Extracting #1: cost 77 inf + 0 47.346 * * [simplify]: Extracting #2: cost 184 inf + 984 47.353 * * [simplify]: Extracting #3: cost 106 inf + 11690 47.370 * * [simplify]: Extracting #4: cost 6 inf + 30376 47.389 * * [simplify]: Extracting #5: cost 0 inf + 31644 47.407 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 47.407 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 47.407 * * * * [progress]: [ 168 / 189 ] simplifiying candidate # 47.408 * * * * [progress]: [ 169 / 189 ] simplifiying candidate # 47.408 * * * * [progress]: [ 170 / 189 ] simplifiying candidate # 47.408 * * * * [progress]: [ 171 / 189 ] simplifiying candidate # 47.408 * * * * [progress]: [ 172 / 189 ] simplifiying candidate # 47.408 * * * * [progress]: [ 173 / 189 ] simplifiying candidate # 47.408 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 47.412 * * [simplify]: iters left: 3 (3 enodes) 47.414 * * [simplify]: iters left: 2 (9 enodes) 47.416 * * [simplify]: Extracting #0: cost 1 inf + 0 47.416 * * [simplify]: Extracting #1: cost 3 inf + 0 47.416 * * [simplify]: Extracting #2: cost 5 inf + 0 47.416 * * [simplify]: Extracting #3: cost 4 inf + 1 47.416 * * [simplify]: Extracting #4: cost 0 inf + 405 47.416 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 47.416 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 47.417 * * * * [progress]: [ 174 / 189 ] simplifiying candidate # 47.417 * [simplify]: Simplifying (sqrt n) 47.417 * * [simplify]: iters left: 1 (2 enodes) 47.418 * * [simplify]: Extracting #0: cost 1 inf + 0 47.418 * * [simplify]: Extracting #1: cost 3 inf + 0 47.418 * * [simplify]: Extracting #2: cost 2 inf + 1 47.418 * * [simplify]: Extracting #3: cost 0 inf + 83 47.418 * [simplify]: Simplified to (sqrt n) 47.418 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 47.418 * * * * [progress]: [ 175 / 189 ] simplifiying candidate # 47.418 * * * * [progress]: [ 176 / 189 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 47.418 * * * * [progress]: [ 177 / 189 ] simplifiying candidate # 47.418 * * * * [progress]: [ 178 / 189 ] simplifiying candidate # 47.419 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 47.419 * * [simplify]: iters left: 6 (37 enodes) 47.441 * * [simplify]: iters left: 5 (187 enodes) 47.486 * * [simplify]: iters left: 4 (488 enodes) 47.728 * * [simplify]: Extracting #0: cost 1 inf + 0 47.729 * * [simplify]: Extracting #1: cost 57 inf + 0 47.730 * * [simplify]: Extracting #2: cost 294 inf + 0 47.733 * * [simplify]: Extracting #3: cost 524 inf + 199 47.736 * * [simplify]: Extracting #4: cost 512 inf + 6095 47.748 * * [simplify]: Extracting #5: cost 310 inf + 78036 47.800 * * [simplify]: Extracting #6: cost 40 inf + 220622 47.857 * * [simplify]: Extracting #7: cost 0 inf + 244981 47.918 * * [simplify]: Extracting #8: cost 0 inf + 243455 47.992 * * [simplify]: Extracting #9: cost 0 inf + 243454 48.064 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 48.064 * [simplify]: Simplified (2 1) to (λ (k n) (* (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (/ 1 (sqrt k)))) 48.065 * * * * [progress]: [ 179 / 189 ] simplifiying candidate # 48.065 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 48.065 * * [simplify]: iters left: 6 (15 enodes) 48.074 * * [simplify]: iters left: 5 (65 enodes) 48.087 * * [simplify]: iters left: 4 (123 enodes) 48.119 * * [simplify]: iters left: 3 (361 enodes) 48.233 * * [simplify]: Extracting #0: cost 1 inf + 0 48.233 * * [simplify]: Extracting #1: cost 37 inf + 0 48.233 * * [simplify]: Extracting #2: cost 213 inf + 72 48.235 * * [simplify]: Extracting #3: cost 350 inf + 1716 48.239 * * [simplify]: Extracting #4: cost 221 inf + 30028 48.261 * * [simplify]: Extracting #5: cost 33 inf + 78046 48.282 * * [simplify]: Extracting #6: cost 1 inf + 88785 48.301 * * [simplify]: Extracting #7: cost 0 inf + 88926 48.324 * * [simplify]: Extracting #8: cost 0 inf + 88841 48.355 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 48.355 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 48.355 * * * * [progress]: [ 180 / 189 ] simplifiying candidate # 48.355 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 48.355 * * [simplify]: iters left: 6 (16 enodes) 48.365 * * [simplify]: iters left: 5 (67 enodes) 48.378 * * [simplify]: iters left: 4 (134 enodes) 48.412 * * [simplify]: iters left: 3 (407 enodes) 48.600 * * [simplify]: Extracting #0: cost 1 inf + 0 48.600 * * [simplify]: Extracting #1: cost 39 inf + 0 48.601 * * [simplify]: Extracting #2: cost 241 inf + 72 48.605 * * [simplify]: Extracting #3: cost 449 inf + 888 48.617 * * [simplify]: Extracting #4: cost 283 inf + 39678 48.654 * * [simplify]: Extracting #5: cost 24 inf + 116942 48.698 * * [simplify]: Extracting #6: cost 0 inf + 121984 48.745 * * [simplify]: Extracting #7: cost 0 inf + 121983 48.769 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 48.769 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k)))) 48.769 * * * * [progress]: [ 181 / 189 ] simplifiying candidate # 48.769 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 48.769 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.769 * * * * [progress]: [ 182 / 189 ] simplifiying candidate # 48.770 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 48.770 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.770 * * * * [progress]: [ 183 / 189 ] simplifiying candidate # 48.770 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 48.770 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.770 * * * * [progress]: [ 184 / 189 ] simplifiying candidate # 48.770 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 48.770 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.771 * * * * [progress]: [ 185 / 189 ] simplifiying candidate # 48.771 * [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)))))))) 48.771 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.771 * * * * [progress]: [ 186 / 189 ] simplifiying candidate # 48.771 * [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)))))))))))) 48.771 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.771 * * * * [progress]: [ 187 / 189 ] simplifiying candidate # 48.771 * [simplify]: Simplifying (* 2 (* n PI)) 48.771 * * [simplify]: iters left: 4 (5 enodes) 48.773 * * [simplify]: iters left: 3 (19 enodes) 48.776 * * [simplify]: iters left: 2 (27 enodes) 48.784 * * [simplify]: iters left: 1 (32 enodes) 48.792 * * [simplify]: Extracting #0: cost 1 inf + 0 48.793 * * [simplify]: Extracting #1: cost 8 inf + 0 48.793 * * [simplify]: Extracting #2: cost 7 inf + 45 48.793 * * [simplify]: Extracting #3: cost 0 inf + 421 48.793 * [simplify]: Simplified to (* (* PI n) 2) 48.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.793 * * * * [progress]: [ 188 / 189 ] simplifiying candidate # 48.794 * [simplify]: Simplifying (* 2 (* n PI)) 48.794 * * [simplify]: iters left: 4 (5 enodes) 48.797 * * [simplify]: iters left: 3 (19 enodes) 48.803 * * [simplify]: iters left: 2 (27 enodes) 48.811 * * [simplify]: iters left: 1 (32 enodes) 48.819 * * [simplify]: Extracting #0: cost 1 inf + 0 48.819 * * [simplify]: Extracting #1: cost 8 inf + 0 48.819 * * [simplify]: Extracting #2: cost 7 inf + 45 48.819 * * [simplify]: Extracting #3: cost 0 inf + 421 48.820 * [simplify]: Simplified to (* (* PI n) 2) 48.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.820 * * * * [progress]: [ 189 / 189 ] simplifiying candidate # 48.820 * [simplify]: Simplifying (* 2 (* n PI)) 48.820 * * [simplify]: iters left: 4 (5 enodes) 48.823 * * [simplify]: iters left: 3 (19 enodes) 48.830 * * [simplify]: iters left: 2 (27 enodes) 48.838 * * [simplify]: iters left: 1 (32 enodes) 48.849 * * [simplify]: Extracting #0: cost 1 inf + 0 48.849 * * [simplify]: Extracting #1: cost 8 inf + 0 48.849 * * [simplify]: Extracting #2: cost 7 inf + 45 48.849 * * [simplify]: Extracting #3: cost 0 inf + 421 48.849 * [simplify]: Simplified to (* (* PI n) 2) 48.850 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.850 * * * [progress]: adding candidates to table 50.857 * * [progress]: iteration 3 / 4 50.857 * * * [progress]: picking best candidate 50.886 * * * * [pick]: Picked # 50.886 * * * [progress]: localizing error 50.918 * * * [progress]: generating rewritten candidates 50.918 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 50.953 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 50.981 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 51.053 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 51.084 * * * [progress]: generating series expansions 51.084 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 51.084 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 51.084 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 51.084 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 51.084 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 51.084 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 51.084 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 51.084 * [taylor]: Taking taylor expansion of 1/4 in k 51.085 * [backup-simplify]: Simplify 1/4 into 1/4 51.085 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.085 * [taylor]: Taking taylor expansion of 1 in k 51.085 * [backup-simplify]: Simplify 1 into 1 51.085 * [taylor]: Taking taylor expansion of k in k 51.085 * [backup-simplify]: Simplify 0 into 0 51.085 * [backup-simplify]: Simplify 1 into 1 51.085 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.085 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.085 * [taylor]: Taking taylor expansion of 2 in k 51.085 * [backup-simplify]: Simplify 2 into 2 51.085 * [taylor]: Taking taylor expansion of (* n PI) in k 51.085 * [taylor]: Taking taylor expansion of n in k 51.085 * [backup-simplify]: Simplify n into n 51.085 * [taylor]: Taking taylor expansion of PI in k 51.085 * [backup-simplify]: Simplify PI into PI 51.085 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.085 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.085 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.085 * [backup-simplify]: Simplify (- 0) into 0 51.085 * [backup-simplify]: Simplify (+ 1 0) into 1 51.086 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.086 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 51.086 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 51.086 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.086 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.086 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.086 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.086 * [taylor]: Taking taylor expansion of 1/4 in n 51.086 * [backup-simplify]: Simplify 1/4 into 1/4 51.086 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.086 * [taylor]: Taking taylor expansion of 1 in n 51.086 * [backup-simplify]: Simplify 1 into 1 51.086 * [taylor]: Taking taylor expansion of k in n 51.086 * [backup-simplify]: Simplify k into k 51.086 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.086 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.086 * [taylor]: Taking taylor expansion of 2 in n 51.086 * [backup-simplify]: Simplify 2 into 2 51.086 * [taylor]: Taking taylor expansion of (* n PI) in n 51.086 * [taylor]: Taking taylor expansion of n in n 51.086 * [backup-simplify]: Simplify 0 into 0 51.086 * [backup-simplify]: Simplify 1 into 1 51.086 * [taylor]: Taking taylor expansion of PI in n 51.086 * [backup-simplify]: Simplify PI into PI 51.086 * [backup-simplify]: Simplify (* 0 PI) into 0 51.087 * [backup-simplify]: Simplify (* 2 0) into 0 51.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.089 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.089 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.090 * [backup-simplify]: Simplify (- k) into (- k) 51.090 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.090 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.090 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.091 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.092 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.092 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.092 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.092 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.092 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.092 * [taylor]: Taking taylor expansion of 1/4 in n 51.092 * [backup-simplify]: Simplify 1/4 into 1/4 51.092 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.092 * [taylor]: Taking taylor expansion of 1 in n 51.092 * [backup-simplify]: Simplify 1 into 1 51.092 * [taylor]: Taking taylor expansion of k in n 51.092 * [backup-simplify]: Simplify k into k 51.092 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.092 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.092 * [taylor]: Taking taylor expansion of 2 in n 51.092 * [backup-simplify]: Simplify 2 into 2 51.092 * [taylor]: Taking taylor expansion of (* n PI) in n 51.092 * [taylor]: Taking taylor expansion of n in n 51.092 * [backup-simplify]: Simplify 0 into 0 51.092 * [backup-simplify]: Simplify 1 into 1 51.092 * [taylor]: Taking taylor expansion of PI in n 51.092 * [backup-simplify]: Simplify PI into PI 51.092 * [backup-simplify]: Simplify (* 0 PI) into 0 51.093 * [backup-simplify]: Simplify (* 2 0) into 0 51.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.094 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.095 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.095 * [backup-simplify]: Simplify (- k) into (- k) 51.095 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.095 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.096 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.097 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.097 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.097 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.097 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.097 * [taylor]: Taking taylor expansion of 1/4 in k 51.097 * [backup-simplify]: Simplify 1/4 into 1/4 51.097 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.097 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.097 * [taylor]: Taking taylor expansion of 1 in k 51.097 * [backup-simplify]: Simplify 1 into 1 51.097 * [taylor]: Taking taylor expansion of k in k 51.097 * [backup-simplify]: Simplify 0 into 0 51.097 * [backup-simplify]: Simplify 1 into 1 51.097 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.098 * [taylor]: Taking taylor expansion of (log n) in k 51.098 * [taylor]: Taking taylor expansion of n in k 51.098 * [backup-simplify]: Simplify n into n 51.098 * [backup-simplify]: Simplify (log n) into (log n) 51.098 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.098 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.098 * [taylor]: Taking taylor expansion of 2 in k 51.098 * [backup-simplify]: Simplify 2 into 2 51.098 * [taylor]: Taking taylor expansion of PI in k 51.098 * [backup-simplify]: Simplify PI into PI 51.098 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.099 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.099 * [backup-simplify]: Simplify (- 0) into 0 51.099 * [backup-simplify]: Simplify (+ 1 0) into 1 51.100 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.100 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.101 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 51.101 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.102 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.104 * [backup-simplify]: Simplify (- 0) into 0 51.105 * [backup-simplify]: Simplify (+ 0 0) into 0 51.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 51.106 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.107 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.108 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.108 * [taylor]: Taking taylor expansion of 0 in k 51.108 * [backup-simplify]: Simplify 0 into 0 51.108 * [backup-simplify]: Simplify 0 into 0 51.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.109 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.110 * [backup-simplify]: Simplify (+ 0 0) into 0 51.110 * [backup-simplify]: Simplify (- 1) into -1 51.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.111 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.112 * [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))))) 51.114 * [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))))))) 51.116 * [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))))))) 51.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.120 * [backup-simplify]: Simplify (- 0) into 0 51.120 * [backup-simplify]: Simplify (+ 0 0) into 0 51.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.122 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.122 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.124 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.124 * [taylor]: Taking taylor expansion of 0 in k 51.124 * [backup-simplify]: Simplify 0 into 0 51.124 * [backup-simplify]: Simplify 0 into 0 51.124 * [backup-simplify]: Simplify 0 into 0 51.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.128 * [backup-simplify]: Simplify (+ 0 0) into 0 51.128 * [backup-simplify]: Simplify (- 0) into 0 51.128 * [backup-simplify]: Simplify (+ 0 0) into 0 51.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.131 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.133 * [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))))) 51.136 * [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))))) 51.141 * [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))))))) 51.142 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 51.142 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 51.142 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 51.142 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.142 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.142 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 51.142 * [taylor]: Taking taylor expansion of 1/4 in k 51.142 * [backup-simplify]: Simplify 1/4 into 1/4 51.142 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.142 * [taylor]: Taking taylor expansion of 1 in k 51.142 * [backup-simplify]: Simplify 1 into 1 51.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.142 * [taylor]: Taking taylor expansion of k in k 51.142 * [backup-simplify]: Simplify 0 into 0 51.142 * [backup-simplify]: Simplify 1 into 1 51.142 * [backup-simplify]: Simplify (/ 1 1) into 1 51.142 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.143 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.143 * [taylor]: Taking taylor expansion of 2 in k 51.143 * [backup-simplify]: Simplify 2 into 2 51.143 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.143 * [taylor]: Taking taylor expansion of PI in k 51.143 * [backup-simplify]: Simplify PI into PI 51.143 * [taylor]: Taking taylor expansion of n in k 51.143 * [backup-simplify]: Simplify n into n 51.143 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.143 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.143 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.143 * [backup-simplify]: Simplify (- 1) into -1 51.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.144 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 51.144 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 51.144 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.144 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.144 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.144 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.144 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.144 * [taylor]: Taking taylor expansion of 1/4 in n 51.144 * [backup-simplify]: Simplify 1/4 into 1/4 51.144 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.144 * [taylor]: Taking taylor expansion of 1 in n 51.144 * [backup-simplify]: Simplify 1 into 1 51.144 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.144 * [taylor]: Taking taylor expansion of k in n 51.144 * [backup-simplify]: Simplify k into k 51.144 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.144 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.144 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.144 * [taylor]: Taking taylor expansion of 2 in n 51.144 * [backup-simplify]: Simplify 2 into 2 51.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.144 * [taylor]: Taking taylor expansion of PI in n 51.144 * [backup-simplify]: Simplify PI into PI 51.144 * [taylor]: Taking taylor expansion of n in n 51.144 * [backup-simplify]: Simplify 0 into 0 51.144 * [backup-simplify]: Simplify 1 into 1 51.144 * [backup-simplify]: Simplify (/ PI 1) into PI 51.145 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.145 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.145 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.145 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.145 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.153 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.153 * [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))))) 51.153 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.153 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.153 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.153 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.153 * [taylor]: Taking taylor expansion of 1/4 in n 51.153 * [backup-simplify]: Simplify 1/4 into 1/4 51.154 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.154 * [taylor]: Taking taylor expansion of 1 in n 51.154 * [backup-simplify]: Simplify 1 into 1 51.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.154 * [taylor]: Taking taylor expansion of k in n 51.154 * [backup-simplify]: Simplify k into k 51.154 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.154 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.154 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.154 * [taylor]: Taking taylor expansion of 2 in n 51.154 * [backup-simplify]: Simplify 2 into 2 51.154 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.154 * [taylor]: Taking taylor expansion of PI in n 51.154 * [backup-simplify]: Simplify PI into PI 51.154 * [taylor]: Taking taylor expansion of n in n 51.154 * [backup-simplify]: Simplify 0 into 0 51.154 * [backup-simplify]: Simplify 1 into 1 51.154 * [backup-simplify]: Simplify (/ PI 1) into PI 51.154 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.155 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.155 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.155 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.155 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.157 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.158 * [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))))) 51.158 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.158 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.158 * [taylor]: Taking taylor expansion of 1/4 in k 51.158 * [backup-simplify]: Simplify 1/4 into 1/4 51.158 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.158 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.158 * [taylor]: Taking taylor expansion of 1 in k 51.158 * [backup-simplify]: Simplify 1 into 1 51.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.158 * [taylor]: Taking taylor expansion of k in k 51.158 * [backup-simplify]: Simplify 0 into 0 51.158 * [backup-simplify]: Simplify 1 into 1 51.158 * [backup-simplify]: Simplify (/ 1 1) into 1 51.158 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.158 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.158 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.158 * [taylor]: Taking taylor expansion of 2 in k 51.158 * [backup-simplify]: Simplify 2 into 2 51.158 * [taylor]: Taking taylor expansion of PI in k 51.158 * [backup-simplify]: Simplify PI into PI 51.158 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.159 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.159 * [taylor]: Taking taylor expansion of (log n) in k 51.159 * [taylor]: Taking taylor expansion of n in k 51.159 * [backup-simplify]: Simplify n into n 51.159 * [backup-simplify]: Simplify (log n) into (log n) 51.159 * [backup-simplify]: Simplify (- 1) into -1 51.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.160 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.160 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.161 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.162 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 51.162 * [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))))) 51.163 * [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))))) 51.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.164 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.165 * [backup-simplify]: Simplify (- 0) into 0 51.165 * [backup-simplify]: Simplify (+ 0 0) into 0 51.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 51.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.167 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.168 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.168 * [taylor]: Taking taylor expansion of 0 in k 51.168 * [backup-simplify]: Simplify 0 into 0 51.169 * [backup-simplify]: Simplify 0 into 0 51.169 * [backup-simplify]: Simplify 0 into 0 51.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.172 * [backup-simplify]: Simplify (- 0) into 0 51.173 * [backup-simplify]: Simplify (+ 0 0) into 0 51.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.176 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.179 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.179 * [taylor]: Taking taylor expansion of 0 in k 51.179 * [backup-simplify]: Simplify 0 into 0 51.179 * [backup-simplify]: Simplify 0 into 0 51.179 * [backup-simplify]: Simplify 0 into 0 51.179 * [backup-simplify]: Simplify 0 into 0 51.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.187 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.188 * [backup-simplify]: Simplify (- 0) into 0 51.188 * [backup-simplify]: Simplify (+ 0 0) into 0 51.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.193 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.196 * [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 51.196 * [taylor]: Taking taylor expansion of 0 in k 51.196 * [backup-simplify]: Simplify 0 into 0 51.196 * [backup-simplify]: Simplify 0 into 0 51.197 * [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)))))) 51.198 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 51.198 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 51.198 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 51.198 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.198 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.198 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 51.198 * [taylor]: Taking taylor expansion of 1/4 in k 51.198 * [backup-simplify]: Simplify 1/4 into 1/4 51.198 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.198 * [taylor]: Taking taylor expansion of k in k 51.198 * [backup-simplify]: Simplify 0 into 0 51.198 * [backup-simplify]: Simplify 1 into 1 51.199 * [backup-simplify]: Simplify (/ 1 1) into 1 51.199 * [taylor]: Taking taylor expansion of 1 in k 51.199 * [backup-simplify]: Simplify 1 into 1 51.199 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.199 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.199 * [taylor]: Taking taylor expansion of -2 in k 51.199 * [backup-simplify]: Simplify -2 into -2 51.199 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.199 * [taylor]: Taking taylor expansion of PI in k 51.199 * [backup-simplify]: Simplify PI into PI 51.199 * [taylor]: Taking taylor expansion of n in k 51.199 * [backup-simplify]: Simplify n into n 51.199 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.199 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.199 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.200 * [backup-simplify]: Simplify (+ 1 0) into 1 51.200 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.200 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 51.201 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.201 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.201 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.201 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.201 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.201 * [taylor]: Taking taylor expansion of 1/4 in n 51.201 * [backup-simplify]: Simplify 1/4 into 1/4 51.201 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.201 * [taylor]: Taking taylor expansion of k in n 51.201 * [backup-simplify]: Simplify k into k 51.201 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.201 * [taylor]: Taking taylor expansion of 1 in n 51.201 * [backup-simplify]: Simplify 1 into 1 51.201 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.201 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.201 * [taylor]: Taking taylor expansion of -2 in n 51.201 * [backup-simplify]: Simplify -2 into -2 51.201 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.201 * [taylor]: Taking taylor expansion of PI in n 51.201 * [backup-simplify]: Simplify PI into PI 51.201 * [taylor]: Taking taylor expansion of n in n 51.201 * [backup-simplify]: Simplify 0 into 0 51.201 * [backup-simplify]: Simplify 1 into 1 51.202 * [backup-simplify]: Simplify (/ PI 1) into PI 51.202 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.204 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.204 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.204 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.207 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.208 * [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))))) 51.208 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.208 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.208 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.208 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.208 * [taylor]: Taking taylor expansion of 1/4 in n 51.208 * [backup-simplify]: Simplify 1/4 into 1/4 51.208 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.208 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.208 * [taylor]: Taking taylor expansion of k in n 51.208 * [backup-simplify]: Simplify k into k 51.208 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.208 * [taylor]: Taking taylor expansion of 1 in n 51.208 * [backup-simplify]: Simplify 1 into 1 51.208 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.208 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.208 * [taylor]: Taking taylor expansion of -2 in n 51.208 * [backup-simplify]: Simplify -2 into -2 51.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.208 * [taylor]: Taking taylor expansion of PI in n 51.208 * [backup-simplify]: Simplify PI into PI 51.208 * [taylor]: Taking taylor expansion of n in n 51.208 * [backup-simplify]: Simplify 0 into 0 51.208 * [backup-simplify]: Simplify 1 into 1 51.209 * [backup-simplify]: Simplify (/ PI 1) into PI 51.209 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.210 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.211 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.211 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.212 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.214 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.215 * [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))))) 51.215 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.215 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.215 * [taylor]: Taking taylor expansion of 1/4 in k 51.215 * [backup-simplify]: Simplify 1/4 into 1/4 51.215 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.215 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.215 * [taylor]: Taking taylor expansion of k in k 51.215 * [backup-simplify]: Simplify 0 into 0 51.215 * [backup-simplify]: Simplify 1 into 1 51.216 * [backup-simplify]: Simplify (/ 1 1) into 1 51.216 * [taylor]: Taking taylor expansion of 1 in k 51.216 * [backup-simplify]: Simplify 1 into 1 51.216 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.216 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.216 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.216 * [taylor]: Taking taylor expansion of -2 in k 51.216 * [backup-simplify]: Simplify -2 into -2 51.216 * [taylor]: Taking taylor expansion of PI in k 51.216 * [backup-simplify]: Simplify PI into PI 51.217 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.218 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.218 * [taylor]: Taking taylor expansion of (log n) in k 51.218 * [taylor]: Taking taylor expansion of n in k 51.218 * [backup-simplify]: Simplify n into n 51.218 * [backup-simplify]: Simplify (log n) into (log n) 51.218 * [backup-simplify]: Simplify (+ 1 0) into 1 51.218 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.220 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.221 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.222 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 51.223 * [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))))) 51.224 * [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))))) 51.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.226 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.228 * [backup-simplify]: Simplify (+ 0 0) into 0 51.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 51.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.231 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.233 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.233 * [taylor]: Taking taylor expansion of 0 in k 51.233 * [backup-simplify]: Simplify 0 into 0 51.233 * [backup-simplify]: Simplify 0 into 0 51.233 * [backup-simplify]: Simplify 0 into 0 51.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.236 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 51.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.240 * [backup-simplify]: Simplify (+ 0 0) into 0 51.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.242 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.244 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.247 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.247 * [taylor]: Taking taylor expansion of 0 in k 51.247 * [backup-simplify]: Simplify 0 into 0 51.247 * [backup-simplify]: Simplify 0 into 0 51.247 * [backup-simplify]: Simplify 0 into 0 51.247 * [backup-simplify]: Simplify 0 into 0 51.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.249 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.255 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 51.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.256 * [backup-simplify]: Simplify (+ 0 0) into 0 51.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.260 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.263 * [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 51.263 * [taylor]: Taking taylor expansion of 0 in k 51.263 * [backup-simplify]: Simplify 0 into 0 51.263 * [backup-simplify]: Simplify 0 into 0 51.264 * [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)))))) 51.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 51.265 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 51.265 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 51.265 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 51.265 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 51.265 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 51.265 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 51.265 * [taylor]: Taking taylor expansion of 1/4 in k 51.265 * [backup-simplify]: Simplify 1/4 into 1/4 51.265 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.265 * [taylor]: Taking taylor expansion of 1 in k 51.265 * [backup-simplify]: Simplify 1 into 1 51.265 * [taylor]: Taking taylor expansion of k in k 51.265 * [backup-simplify]: Simplify 0 into 0 51.266 * [backup-simplify]: Simplify 1 into 1 51.266 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.266 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.266 * [taylor]: Taking taylor expansion of 2 in k 51.266 * [backup-simplify]: Simplify 2 into 2 51.266 * [taylor]: Taking taylor expansion of (* n PI) in k 51.266 * [taylor]: Taking taylor expansion of n in k 51.266 * [backup-simplify]: Simplify n into n 51.266 * [taylor]: Taking taylor expansion of PI in k 51.266 * [backup-simplify]: Simplify PI into PI 51.266 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.266 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.266 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.266 * [backup-simplify]: Simplify (- 0) into 0 51.267 * [backup-simplify]: Simplify (+ 1 0) into 1 51.267 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.267 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 51.268 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 51.268 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.268 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.268 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.268 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.268 * [taylor]: Taking taylor expansion of 1/4 in n 51.268 * [backup-simplify]: Simplify 1/4 into 1/4 51.268 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.268 * [taylor]: Taking taylor expansion of 1 in n 51.268 * [backup-simplify]: Simplify 1 into 1 51.268 * [taylor]: Taking taylor expansion of k in n 51.268 * [backup-simplify]: Simplify k into k 51.268 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.268 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.268 * [taylor]: Taking taylor expansion of 2 in n 51.268 * [backup-simplify]: Simplify 2 into 2 51.268 * [taylor]: Taking taylor expansion of (* n PI) in n 51.268 * [taylor]: Taking taylor expansion of n in n 51.268 * [backup-simplify]: Simplify 0 into 0 51.268 * [backup-simplify]: Simplify 1 into 1 51.268 * [taylor]: Taking taylor expansion of PI in n 51.268 * [backup-simplify]: Simplify PI into PI 51.269 * [backup-simplify]: Simplify (* 0 PI) into 0 51.269 * [backup-simplify]: Simplify (* 2 0) into 0 51.271 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.272 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.273 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.273 * [backup-simplify]: Simplify (- k) into (- k) 51.273 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.274 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.275 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.276 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.277 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.277 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.277 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.277 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.277 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.277 * [taylor]: Taking taylor expansion of 1/4 in n 51.277 * [backup-simplify]: Simplify 1/4 into 1/4 51.277 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.277 * [taylor]: Taking taylor expansion of 1 in n 51.277 * [backup-simplify]: Simplify 1 into 1 51.277 * [taylor]: Taking taylor expansion of k in n 51.277 * [backup-simplify]: Simplify k into k 51.277 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.277 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.277 * [taylor]: Taking taylor expansion of 2 in n 51.277 * [backup-simplify]: Simplify 2 into 2 51.278 * [taylor]: Taking taylor expansion of (* n PI) in n 51.278 * [taylor]: Taking taylor expansion of n in n 51.278 * [backup-simplify]: Simplify 0 into 0 51.278 * [backup-simplify]: Simplify 1 into 1 51.278 * [taylor]: Taking taylor expansion of PI in n 51.278 * [backup-simplify]: Simplify PI into PI 51.278 * [backup-simplify]: Simplify (* 0 PI) into 0 51.278 * [backup-simplify]: Simplify (* 2 0) into 0 51.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.282 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.282 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.283 * [backup-simplify]: Simplify (- k) into (- k) 51.283 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.283 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.284 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.291 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.292 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.292 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.292 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.292 * [taylor]: Taking taylor expansion of 1/4 in k 51.292 * [backup-simplify]: Simplify 1/4 into 1/4 51.292 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.292 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.292 * [taylor]: Taking taylor expansion of 1 in k 51.292 * [backup-simplify]: Simplify 1 into 1 51.292 * [taylor]: Taking taylor expansion of k in k 51.292 * [backup-simplify]: Simplify 0 into 0 51.292 * [backup-simplify]: Simplify 1 into 1 51.292 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.292 * [taylor]: Taking taylor expansion of (log n) in k 51.292 * [taylor]: Taking taylor expansion of n in k 51.292 * [backup-simplify]: Simplify n into n 51.293 * [backup-simplify]: Simplify (log n) into (log n) 51.293 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.293 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.293 * [taylor]: Taking taylor expansion of 2 in k 51.293 * [backup-simplify]: Simplify 2 into 2 51.293 * [taylor]: Taking taylor expansion of PI in k 51.293 * [backup-simplify]: Simplify PI into PI 51.293 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.294 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.295 * [backup-simplify]: Simplify (- 0) into 0 51.295 * [backup-simplify]: Simplify (+ 1 0) into 1 51.296 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.297 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.298 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 51.299 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.300 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.304 * [backup-simplify]: Simplify (- 0) into 0 51.305 * [backup-simplify]: Simplify (+ 0 0) into 0 51.305 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 51.307 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.308 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.310 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.310 * [taylor]: Taking taylor expansion of 0 in k 51.310 * [backup-simplify]: Simplify 0 into 0 51.310 * [backup-simplify]: Simplify 0 into 0 51.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.314 * [backup-simplify]: Simplify (+ 0 0) into 0 51.314 * [backup-simplify]: Simplify (- 1) into -1 51.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.317 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.319 * [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))))) 51.322 * [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))))))) 51.325 * [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))))))) 51.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.331 * [backup-simplify]: Simplify (- 0) into 0 51.332 * [backup-simplify]: Simplify (+ 0 0) into 0 51.333 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.334 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.335 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.336 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.336 * [taylor]: Taking taylor expansion of 0 in k 51.336 * [backup-simplify]: Simplify 0 into 0 51.336 * [backup-simplify]: Simplify 0 into 0 51.336 * [backup-simplify]: Simplify 0 into 0 51.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.340 * [backup-simplify]: Simplify (+ 0 0) into 0 51.340 * [backup-simplify]: Simplify (- 0) into 0 51.340 * [backup-simplify]: Simplify (+ 0 0) into 0 51.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.345 * [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))))) 51.348 * [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))))) 51.353 * [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))))))) 51.354 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 51.354 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 51.354 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 51.354 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.354 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.354 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 51.354 * [taylor]: Taking taylor expansion of 1/4 in k 51.354 * [backup-simplify]: Simplify 1/4 into 1/4 51.354 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.354 * [taylor]: Taking taylor expansion of 1 in k 51.354 * [backup-simplify]: Simplify 1 into 1 51.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.354 * [taylor]: Taking taylor expansion of k in k 51.354 * [backup-simplify]: Simplify 0 into 0 51.354 * [backup-simplify]: Simplify 1 into 1 51.354 * [backup-simplify]: Simplify (/ 1 1) into 1 51.354 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.354 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.354 * [taylor]: Taking taylor expansion of 2 in k 51.354 * [backup-simplify]: Simplify 2 into 2 51.354 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.354 * [taylor]: Taking taylor expansion of PI in k 51.354 * [backup-simplify]: Simplify PI into PI 51.354 * [taylor]: Taking taylor expansion of n in k 51.354 * [backup-simplify]: Simplify n into n 51.354 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.354 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.355 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.355 * [backup-simplify]: Simplify (- 1) into -1 51.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.355 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 51.355 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 51.355 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.356 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.356 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.356 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.356 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.356 * [taylor]: Taking taylor expansion of 1/4 in n 51.356 * [backup-simplify]: Simplify 1/4 into 1/4 51.356 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.356 * [taylor]: Taking taylor expansion of 1 in n 51.356 * [backup-simplify]: Simplify 1 into 1 51.356 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.356 * [taylor]: Taking taylor expansion of k in n 51.356 * [backup-simplify]: Simplify k into k 51.356 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.356 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.356 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.356 * [taylor]: Taking taylor expansion of 2 in n 51.356 * [backup-simplify]: Simplify 2 into 2 51.356 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.356 * [taylor]: Taking taylor expansion of PI in n 51.356 * [backup-simplify]: Simplify PI into PI 51.356 * [taylor]: Taking taylor expansion of n in n 51.356 * [backup-simplify]: Simplify 0 into 0 51.356 * [backup-simplify]: Simplify 1 into 1 51.356 * [backup-simplify]: Simplify (/ PI 1) into PI 51.356 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.357 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.357 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.357 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.357 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.359 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.359 * [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))))) 51.359 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.359 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.359 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.359 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.360 * [taylor]: Taking taylor expansion of 1/4 in n 51.360 * [backup-simplify]: Simplify 1/4 into 1/4 51.360 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.360 * [taylor]: Taking taylor expansion of 1 in n 51.360 * [backup-simplify]: Simplify 1 into 1 51.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.360 * [taylor]: Taking taylor expansion of k in n 51.360 * [backup-simplify]: Simplify k into k 51.360 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.360 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.360 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.360 * [taylor]: Taking taylor expansion of 2 in n 51.360 * [backup-simplify]: Simplify 2 into 2 51.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.360 * [taylor]: Taking taylor expansion of PI in n 51.360 * [backup-simplify]: Simplify PI into PI 51.360 * [taylor]: Taking taylor expansion of n in n 51.360 * [backup-simplify]: Simplify 0 into 0 51.360 * [backup-simplify]: Simplify 1 into 1 51.360 * [backup-simplify]: Simplify (/ PI 1) into PI 51.360 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.361 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.361 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.361 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.361 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.363 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.363 * [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))))) 51.363 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.363 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.363 * [taylor]: Taking taylor expansion of 1/4 in k 51.363 * [backup-simplify]: Simplify 1/4 into 1/4 51.363 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.363 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.363 * [taylor]: Taking taylor expansion of 1 in k 51.363 * [backup-simplify]: Simplify 1 into 1 51.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.364 * [taylor]: Taking taylor expansion of k in k 51.364 * [backup-simplify]: Simplify 0 into 0 51.364 * [backup-simplify]: Simplify 1 into 1 51.364 * [backup-simplify]: Simplify (/ 1 1) into 1 51.364 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.364 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.364 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.364 * [taylor]: Taking taylor expansion of 2 in k 51.364 * [backup-simplify]: Simplify 2 into 2 51.364 * [taylor]: Taking taylor expansion of PI in k 51.364 * [backup-simplify]: Simplify PI into PI 51.364 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.365 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.365 * [taylor]: Taking taylor expansion of (log n) in k 51.365 * [taylor]: Taking taylor expansion of n in k 51.365 * [backup-simplify]: Simplify n into n 51.365 * [backup-simplify]: Simplify (log n) into (log n) 51.365 * [backup-simplify]: Simplify (- 1) into -1 51.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.365 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.366 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.367 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.367 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 51.368 * [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))))) 51.369 * [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))))) 51.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.370 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.371 * [backup-simplify]: Simplify (- 0) into 0 51.371 * [backup-simplify]: Simplify (+ 0 0) into 0 51.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 51.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.373 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.374 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.374 * [taylor]: Taking taylor expansion of 0 in k 51.374 * [backup-simplify]: Simplify 0 into 0 51.374 * [backup-simplify]: Simplify 0 into 0 51.374 * [backup-simplify]: Simplify 0 into 0 51.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.378 * [backup-simplify]: Simplify (- 0) into 0 51.378 * [backup-simplify]: Simplify (+ 0 0) into 0 51.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.380 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.381 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.382 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.382 * [taylor]: Taking taylor expansion of 0 in k 51.382 * [backup-simplify]: Simplify 0 into 0 51.382 * [backup-simplify]: Simplify 0 into 0 51.382 * [backup-simplify]: Simplify 0 into 0 51.382 * [backup-simplify]: Simplify 0 into 0 51.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.388 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.389 * [backup-simplify]: Simplify (- 0) into 0 51.389 * [backup-simplify]: Simplify (+ 0 0) into 0 51.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.392 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.394 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.402 * [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 51.402 * [taylor]: Taking taylor expansion of 0 in k 51.403 * [backup-simplify]: Simplify 0 into 0 51.403 * [backup-simplify]: Simplify 0 into 0 51.404 * [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)))))) 51.405 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 51.405 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 51.405 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 51.405 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.405 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.405 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 51.405 * [taylor]: Taking taylor expansion of 1/4 in k 51.405 * [backup-simplify]: Simplify 1/4 into 1/4 51.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.405 * [taylor]: Taking taylor expansion of k in k 51.405 * [backup-simplify]: Simplify 0 into 0 51.405 * [backup-simplify]: Simplify 1 into 1 51.406 * [backup-simplify]: Simplify (/ 1 1) into 1 51.406 * [taylor]: Taking taylor expansion of 1 in k 51.406 * [backup-simplify]: Simplify 1 into 1 51.406 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.406 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.406 * [taylor]: Taking taylor expansion of -2 in k 51.406 * [backup-simplify]: Simplify -2 into -2 51.406 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.406 * [taylor]: Taking taylor expansion of PI in k 51.406 * [backup-simplify]: Simplify PI into PI 51.406 * [taylor]: Taking taylor expansion of n in k 51.406 * [backup-simplify]: Simplify n into n 51.406 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.406 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.406 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.407 * [backup-simplify]: Simplify (+ 1 0) into 1 51.407 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.408 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 51.408 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.408 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.408 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.408 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.408 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.408 * [taylor]: Taking taylor expansion of 1/4 in n 51.408 * [backup-simplify]: Simplify 1/4 into 1/4 51.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.408 * [taylor]: Taking taylor expansion of k in n 51.408 * [backup-simplify]: Simplify k into k 51.408 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.408 * [taylor]: Taking taylor expansion of 1 in n 51.408 * [backup-simplify]: Simplify 1 into 1 51.408 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.408 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.408 * [taylor]: Taking taylor expansion of -2 in n 51.408 * [backup-simplify]: Simplify -2 into -2 51.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.408 * [taylor]: Taking taylor expansion of PI in n 51.408 * [backup-simplify]: Simplify PI into PI 51.408 * [taylor]: Taking taylor expansion of n in n 51.408 * [backup-simplify]: Simplify 0 into 0 51.408 * [backup-simplify]: Simplify 1 into 1 51.409 * [backup-simplify]: Simplify (/ PI 1) into PI 51.410 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.411 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.411 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.411 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.413 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.414 * [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))))) 51.415 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.415 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.415 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.415 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.415 * [taylor]: Taking taylor expansion of 1/4 in n 51.415 * [backup-simplify]: Simplify 1/4 into 1/4 51.415 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.415 * [taylor]: Taking taylor expansion of k in n 51.415 * [backup-simplify]: Simplify k into k 51.415 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.415 * [taylor]: Taking taylor expansion of 1 in n 51.415 * [backup-simplify]: Simplify 1 into 1 51.415 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.415 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.415 * [taylor]: Taking taylor expansion of -2 in n 51.415 * [backup-simplify]: Simplify -2 into -2 51.415 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.415 * [taylor]: Taking taylor expansion of PI in n 51.415 * [backup-simplify]: Simplify PI into PI 51.415 * [taylor]: Taking taylor expansion of n in n 51.415 * [backup-simplify]: Simplify 0 into 0 51.415 * [backup-simplify]: Simplify 1 into 1 51.416 * [backup-simplify]: Simplify (/ PI 1) into PI 51.416 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.417 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.417 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.417 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.420 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.421 * [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))))) 51.421 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.421 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.421 * [taylor]: Taking taylor expansion of 1/4 in k 51.421 * [backup-simplify]: Simplify 1/4 into 1/4 51.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.421 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.421 * [taylor]: Taking taylor expansion of k in k 51.421 * [backup-simplify]: Simplify 0 into 0 51.421 * [backup-simplify]: Simplify 1 into 1 51.422 * [backup-simplify]: Simplify (/ 1 1) into 1 51.422 * [taylor]: Taking taylor expansion of 1 in k 51.422 * [backup-simplify]: Simplify 1 into 1 51.422 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.422 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.422 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.422 * [taylor]: Taking taylor expansion of -2 in k 51.422 * [backup-simplify]: Simplify -2 into -2 51.422 * [taylor]: Taking taylor expansion of PI in k 51.422 * [backup-simplify]: Simplify PI into PI 51.423 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.424 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.424 * [taylor]: Taking taylor expansion of (log n) in k 51.424 * [taylor]: Taking taylor expansion of n in k 51.424 * [backup-simplify]: Simplify n into n 51.424 * [backup-simplify]: Simplify (log n) into (log n) 51.424 * [backup-simplify]: Simplify (+ 1 0) into 1 51.424 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.426 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.427 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.428 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 51.429 * [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))))) 51.431 * [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))))) 51.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.433 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.435 * [backup-simplify]: Simplify (+ 0 0) into 0 51.435 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 51.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.438 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.440 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.440 * [taylor]: Taking taylor expansion of 0 in k 51.440 * [backup-simplify]: Simplify 0 into 0 51.440 * [backup-simplify]: Simplify 0 into 0 51.440 * [backup-simplify]: Simplify 0 into 0 51.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.442 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 51.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.446 * [backup-simplify]: Simplify (+ 0 0) into 0 51.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.447 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.448 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.450 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.450 * [taylor]: Taking taylor expansion of 0 in k 51.450 * [backup-simplify]: Simplify 0 into 0 51.450 * [backup-simplify]: Simplify 0 into 0 51.450 * [backup-simplify]: Simplify 0 into 0 51.450 * [backup-simplify]: Simplify 0 into 0 51.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.451 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.454 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 51.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.455 * [backup-simplify]: Simplify (+ 0 0) into 0 51.456 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.456 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.458 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.459 * [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 51.459 * [taylor]: Taking taylor expansion of 0 in k 51.459 * [backup-simplify]: Simplify 0 into 0 51.459 * [backup-simplify]: Simplify 0 into 0 51.460 * [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)))))) 51.460 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 51.461 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) into (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) 51.461 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in (n k) around 0 51.461 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in k 51.461 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 51.461 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 51.461 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 51.461 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 51.461 * [taylor]: Taking taylor expansion of 1/4 in k 51.461 * [backup-simplify]: Simplify 1/4 into 1/4 51.461 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.461 * [taylor]: Taking taylor expansion of 1 in k 51.461 * [backup-simplify]: Simplify 1 into 1 51.461 * [taylor]: Taking taylor expansion of k in k 51.461 * [backup-simplify]: Simplify 0 into 0 51.461 * [backup-simplify]: Simplify 1 into 1 51.461 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.461 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.461 * [taylor]: Taking taylor expansion of 2 in k 51.461 * [backup-simplify]: Simplify 2 into 2 51.461 * [taylor]: Taking taylor expansion of (* n PI) in k 51.461 * [taylor]: Taking taylor expansion of n in k 51.461 * [backup-simplify]: Simplify n into n 51.461 * [taylor]: Taking taylor expansion of PI in k 51.461 * [backup-simplify]: Simplify PI into PI 51.461 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.461 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.461 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.461 * [backup-simplify]: Simplify (- 0) into 0 51.462 * [backup-simplify]: Simplify (+ 1 0) into 1 51.462 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.462 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 51.462 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 51.462 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n 51.462 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.462 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.462 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.462 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.462 * [taylor]: Taking taylor expansion of 1/4 in n 51.462 * [backup-simplify]: Simplify 1/4 into 1/4 51.462 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.462 * [taylor]: Taking taylor expansion of 1 in n 51.462 * [backup-simplify]: Simplify 1 into 1 51.462 * [taylor]: Taking taylor expansion of k in n 51.462 * [backup-simplify]: Simplify k into k 51.462 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.462 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.462 * [taylor]: Taking taylor expansion of 2 in n 51.462 * [backup-simplify]: Simplify 2 into 2 51.462 * [taylor]: Taking taylor expansion of (* n PI) in n 51.462 * [taylor]: Taking taylor expansion of n in n 51.462 * [backup-simplify]: Simplify 0 into 0 51.462 * [backup-simplify]: Simplify 1 into 1 51.462 * [taylor]: Taking taylor expansion of PI in n 51.462 * [backup-simplify]: Simplify PI into PI 51.463 * [backup-simplify]: Simplify (* 0 PI) into 0 51.463 * [backup-simplify]: Simplify (* 2 0) into 0 51.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.465 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.466 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.466 * [backup-simplify]: Simplify (- k) into (- k) 51.466 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.466 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.466 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.467 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.468 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.468 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n 51.468 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.468 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.468 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.468 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.468 * [taylor]: Taking taylor expansion of 1/4 in n 51.468 * [backup-simplify]: Simplify 1/4 into 1/4 51.468 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.468 * [taylor]: Taking taylor expansion of 1 in n 51.468 * [backup-simplify]: Simplify 1 into 1 51.468 * [taylor]: Taking taylor expansion of k in n 51.468 * [backup-simplify]: Simplify k into k 51.468 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.468 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.468 * [taylor]: Taking taylor expansion of 2 in n 51.468 * [backup-simplify]: Simplify 2 into 2 51.468 * [taylor]: Taking taylor expansion of (* n PI) in n 51.468 * [taylor]: Taking taylor expansion of n in n 51.468 * [backup-simplify]: Simplify 0 into 0 51.468 * [backup-simplify]: Simplify 1 into 1 51.468 * [taylor]: Taking taylor expansion of PI in n 51.468 * [backup-simplify]: Simplify PI into PI 51.468 * [backup-simplify]: Simplify (* 0 PI) into 0 51.469 * [backup-simplify]: Simplify (* 2 0) into 0 51.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.470 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.471 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.471 * [backup-simplify]: Simplify (- k) into (- k) 51.471 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.471 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.472 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.473 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.473 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.475 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) 51.475 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) in k 51.475 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.475 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.475 * [taylor]: Taking taylor expansion of 1/4 in k 51.475 * [backup-simplify]: Simplify 1/4 into 1/4 51.475 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.475 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.475 * [taylor]: Taking taylor expansion of 1 in k 51.475 * [backup-simplify]: Simplify 1 into 1 51.475 * [taylor]: Taking taylor expansion of k in k 51.475 * [backup-simplify]: Simplify 0 into 0 51.475 * [backup-simplify]: Simplify 1 into 1 51.475 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.475 * [taylor]: Taking taylor expansion of (log n) in k 51.475 * [taylor]: Taking taylor expansion of n in k 51.475 * [backup-simplify]: Simplify n into n 51.475 * [backup-simplify]: Simplify (log n) into (log n) 51.475 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.475 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.475 * [taylor]: Taking taylor expansion of 2 in k 51.475 * [backup-simplify]: Simplify 2 into 2 51.475 * [taylor]: Taking taylor expansion of PI in k 51.475 * [backup-simplify]: Simplify PI into PI 51.475 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.476 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.476 * [backup-simplify]: Simplify (- 0) into 0 51.476 * [backup-simplify]: Simplify (+ 1 0) into 1 51.477 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.478 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.479 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 51.480 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.482 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) 51.483 * [backup-simplify]: Simplify (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) 51.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.487 * [backup-simplify]: Simplify (- 0) into 0 51.488 * [backup-simplify]: Simplify (+ 0 0) into 0 51.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 51.490 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.491 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.493 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.495 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0 51.495 * [taylor]: Taking taylor expansion of 0 in k 51.495 * [backup-simplify]: Simplify 0 into 0 51.495 * [backup-simplify]: Simplify 0 into 0 51.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.497 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.498 * [backup-simplify]: Simplify (+ 0 0) into 0 51.498 * [backup-simplify]: Simplify (- 1) into -1 51.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.499 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.501 * [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))))) 51.503 * [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))))))) 51.508 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) 51.510 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) 51.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.518 * [backup-simplify]: Simplify (- 0) into 0 51.519 * [backup-simplify]: Simplify (+ 0 0) into 0 51.519 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.520 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.521 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.523 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.524 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0 51.524 * [taylor]: Taking taylor expansion of 0 in k 51.524 * [backup-simplify]: Simplify 0 into 0 51.524 * [backup-simplify]: Simplify 0 into 0 51.524 * [backup-simplify]: Simplify 0 into 0 51.525 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.528 * [backup-simplify]: Simplify (+ 0 0) into 0 51.528 * [backup-simplify]: Simplify (- 0) into 0 51.528 * [backup-simplify]: Simplify (+ 0 0) into 0 51.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.535 * [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))))) 51.546 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (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)))))) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* (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))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) 51.550 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) 51.557 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (* k 1)) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2))) into (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k))))) 51.558 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) 51.558 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in (n k) around 0 51.558 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in k 51.558 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 51.558 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.558 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.558 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 51.558 * [taylor]: Taking taylor expansion of 1/4 in k 51.558 * [backup-simplify]: Simplify 1/4 into 1/4 51.558 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.558 * [taylor]: Taking taylor expansion of 1 in k 51.558 * [backup-simplify]: Simplify 1 into 1 51.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.558 * [taylor]: Taking taylor expansion of k in k 51.558 * [backup-simplify]: Simplify 0 into 0 51.558 * [backup-simplify]: Simplify 1 into 1 51.559 * [backup-simplify]: Simplify (/ 1 1) into 1 51.559 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.559 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.559 * [taylor]: Taking taylor expansion of 2 in k 51.559 * [backup-simplify]: Simplify 2 into 2 51.559 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.559 * [taylor]: Taking taylor expansion of PI in k 51.559 * [backup-simplify]: Simplify PI into PI 51.559 * [taylor]: Taking taylor expansion of n in k 51.559 * [backup-simplify]: Simplify n into n 51.559 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.559 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.559 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.559 * [backup-simplify]: Simplify (- 1) into -1 51.559 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.560 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 51.560 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 51.560 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.560 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n 51.560 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.560 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.560 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.560 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.560 * [taylor]: Taking taylor expansion of 1/4 in n 51.560 * [backup-simplify]: Simplify 1/4 into 1/4 51.560 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.560 * [taylor]: Taking taylor expansion of 1 in n 51.560 * [backup-simplify]: Simplify 1 into 1 51.560 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.560 * [taylor]: Taking taylor expansion of k in n 51.560 * [backup-simplify]: Simplify k into k 51.560 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.560 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.560 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.560 * [taylor]: Taking taylor expansion of 2 in n 51.560 * [backup-simplify]: Simplify 2 into 2 51.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.560 * [taylor]: Taking taylor expansion of PI in n 51.560 * [backup-simplify]: Simplify PI into PI 51.560 * [taylor]: Taking taylor expansion of n in n 51.560 * [backup-simplify]: Simplify 0 into 0 51.560 * [backup-simplify]: Simplify 1 into 1 51.561 * [backup-simplify]: Simplify (/ PI 1) into PI 51.561 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.561 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.562 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.562 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.562 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.562 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.563 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.564 * [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))))) 51.564 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n 51.564 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.564 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.564 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.564 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.564 * [taylor]: Taking taylor expansion of 1/4 in n 51.564 * [backup-simplify]: Simplify 1/4 into 1/4 51.564 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.564 * [taylor]: Taking taylor expansion of 1 in n 51.564 * [backup-simplify]: Simplify 1 into 1 51.564 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.564 * [taylor]: Taking taylor expansion of k in n 51.564 * [backup-simplify]: Simplify k into k 51.564 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.564 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.564 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.564 * [taylor]: Taking taylor expansion of 2 in n 51.564 * [backup-simplify]: Simplify 2 into 2 51.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.564 * [taylor]: Taking taylor expansion of PI in n 51.564 * [backup-simplify]: Simplify PI into PI 51.564 * [taylor]: Taking taylor expansion of n in n 51.564 * [backup-simplify]: Simplify 0 into 0 51.564 * [backup-simplify]: Simplify 1 into 1 51.565 * [backup-simplify]: Simplify (/ PI 1) into PI 51.565 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.565 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.565 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.566 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.566 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.567 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.568 * [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))))) 51.569 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) 51.569 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) in k 51.569 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.569 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.569 * [taylor]: Taking taylor expansion of 1/4 in k 51.569 * [backup-simplify]: Simplify 1/4 into 1/4 51.570 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.570 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.570 * [taylor]: Taking taylor expansion of 1 in k 51.570 * [backup-simplify]: Simplify 1 into 1 51.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.570 * [taylor]: Taking taylor expansion of k in k 51.570 * [backup-simplify]: Simplify 0 into 0 51.570 * [backup-simplify]: Simplify 1 into 1 51.570 * [backup-simplify]: Simplify (/ 1 1) into 1 51.570 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.570 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.570 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.570 * [taylor]: Taking taylor expansion of 2 in k 51.570 * [backup-simplify]: Simplify 2 into 2 51.570 * [taylor]: Taking taylor expansion of PI in k 51.570 * [backup-simplify]: Simplify PI into PI 51.571 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.572 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.572 * [taylor]: Taking taylor expansion of (log n) in k 51.572 * [taylor]: Taking taylor expansion of n in k 51.572 * [backup-simplify]: Simplify n into n 51.572 * [backup-simplify]: Simplify (log n) into (log n) 51.572 * [backup-simplify]: Simplify (- 1) into -1 51.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.573 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.574 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.575 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.576 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 51.577 * [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))))) 51.580 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) 51.581 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) 51.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.582 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.585 * [backup-simplify]: Simplify (- 0) into 0 51.585 * [backup-simplify]: Simplify (+ 0 0) into 0 51.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 51.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.588 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.590 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.593 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 51.593 * [taylor]: Taking taylor expansion of 0 in k 51.593 * [backup-simplify]: Simplify 0 into 0 51.593 * [backup-simplify]: Simplify 0 into 0 51.595 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 51.595 * [backup-simplify]: Simplify 0 into 0 51.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.601 * [backup-simplify]: Simplify (- 0) into 0 51.602 * [backup-simplify]: Simplify (+ 0 0) into 0 51.603 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.604 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.605 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.608 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.611 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 51.611 * [taylor]: Taking taylor expansion of 0 in k 51.611 * [backup-simplify]: Simplify 0 into 0 51.611 * [backup-simplify]: Simplify 0 into 0 51.611 * [backup-simplify]: Simplify 0 into 0 51.614 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 51.614 * [backup-simplify]: Simplify 0 into 0 51.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.622 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.623 * [backup-simplify]: Simplify (- 0) into 0 51.623 * [backup-simplify]: Simplify (+ 0 0) into 0 51.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.626 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.633 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.636 * [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 51.639 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 51.639 * [taylor]: Taking taylor expansion of 0 in k 51.639 * [backup-simplify]: Simplify 0 into 0 51.639 * [backup-simplify]: Simplify 0 into 0 51.640 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) 51.642 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) 51.642 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in (n k) around 0 51.642 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in k 51.642 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 51.642 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.642 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.642 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 51.642 * [taylor]: Taking taylor expansion of 1/4 in k 51.642 * [backup-simplify]: Simplify 1/4 into 1/4 51.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.642 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.642 * [taylor]: Taking taylor expansion of k in k 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [backup-simplify]: Simplify 1 into 1 51.643 * [backup-simplify]: Simplify (/ 1 1) into 1 51.643 * [taylor]: Taking taylor expansion of 1 in k 51.643 * [backup-simplify]: Simplify 1 into 1 51.643 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.643 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.643 * [taylor]: Taking taylor expansion of -2 in k 51.643 * [backup-simplify]: Simplify -2 into -2 51.643 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.643 * [taylor]: Taking taylor expansion of PI in k 51.643 * [backup-simplify]: Simplify PI into PI 51.643 * [taylor]: Taking taylor expansion of n in k 51.643 * [backup-simplify]: Simplify n into n 51.643 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.643 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.643 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.644 * [backup-simplify]: Simplify (+ 1 0) into 1 51.644 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.644 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 51.645 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.645 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n 51.645 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.645 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.645 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.645 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.645 * [taylor]: Taking taylor expansion of 1/4 in n 51.645 * [backup-simplify]: Simplify 1/4 into 1/4 51.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.645 * [taylor]: Taking taylor expansion of k in n 51.645 * [backup-simplify]: Simplify k into k 51.645 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.645 * [taylor]: Taking taylor expansion of 1 in n 51.645 * [backup-simplify]: Simplify 1 into 1 51.645 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.645 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.645 * [taylor]: Taking taylor expansion of -2 in n 51.645 * [backup-simplify]: Simplify -2 into -2 51.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.645 * [taylor]: Taking taylor expansion of PI in n 51.645 * [backup-simplify]: Simplify PI into PI 51.645 * [taylor]: Taking taylor expansion of n in n 51.645 * [backup-simplify]: Simplify 0 into 0 51.645 * [backup-simplify]: Simplify 1 into 1 51.646 * [backup-simplify]: Simplify (/ PI 1) into PI 51.646 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.647 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.648 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.648 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.650 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.650 * [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))))) 51.651 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n 51.651 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.651 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.651 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.651 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.651 * [taylor]: Taking taylor expansion of 1/4 in n 51.651 * [backup-simplify]: Simplify 1/4 into 1/4 51.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.651 * [taylor]: Taking taylor expansion of k in n 51.651 * [backup-simplify]: Simplify k into k 51.651 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.651 * [taylor]: Taking taylor expansion of 1 in n 51.651 * [backup-simplify]: Simplify 1 into 1 51.651 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.651 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.651 * [taylor]: Taking taylor expansion of -2 in n 51.651 * [backup-simplify]: Simplify -2 into -2 51.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.651 * [taylor]: Taking taylor expansion of PI in n 51.651 * [backup-simplify]: Simplify PI into PI 51.651 * [taylor]: Taking taylor expansion of n in n 51.651 * [backup-simplify]: Simplify 0 into 0 51.651 * [backup-simplify]: Simplify 1 into 1 51.651 * [backup-simplify]: Simplify (/ PI 1) into PI 51.652 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.652 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.652 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.652 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.654 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.654 * [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))))) 51.656 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) 51.656 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) in k 51.656 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.656 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.656 * [taylor]: Taking taylor expansion of 1/4 in k 51.656 * [backup-simplify]: Simplify 1/4 into 1/4 51.656 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.656 * [taylor]: Taking taylor expansion of k in k 51.656 * [backup-simplify]: Simplify 0 into 0 51.656 * [backup-simplify]: Simplify 1 into 1 51.656 * [backup-simplify]: Simplify (/ 1 1) into 1 51.656 * [taylor]: Taking taylor expansion of 1 in k 51.656 * [backup-simplify]: Simplify 1 into 1 51.656 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.656 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.656 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.656 * [taylor]: Taking taylor expansion of -2 in k 51.656 * [backup-simplify]: Simplify -2 into -2 51.656 * [taylor]: Taking taylor expansion of PI in k 51.656 * [backup-simplify]: Simplify PI into PI 51.657 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.657 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.657 * [taylor]: Taking taylor expansion of (log n) in k 51.657 * [taylor]: Taking taylor expansion of n in k 51.657 * [backup-simplify]: Simplify n into n 51.657 * [backup-simplify]: Simplify (log n) into (log n) 51.658 * [backup-simplify]: Simplify (+ 1 0) into 1 51.658 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.658 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.659 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.660 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 51.660 * [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))))) 51.662 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) 51.662 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) 51.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.663 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.665 * [backup-simplify]: Simplify (+ 0 0) into 0 51.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 51.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.667 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.668 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.669 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 51.669 * [taylor]: Taking taylor expansion of 0 in k 51.669 * [backup-simplify]: Simplify 0 into 0 51.669 * [backup-simplify]: Simplify 0 into 0 51.671 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 51.671 * [backup-simplify]: Simplify 0 into 0 51.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.674 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 51.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.678 * [backup-simplify]: Simplify (+ 0 0) into 0 51.679 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.681 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.684 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.686 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 51.687 * [taylor]: Taking taylor expansion of 0 in k 51.687 * [backup-simplify]: Simplify 0 into 0 51.687 * [backup-simplify]: Simplify 0 into 0 51.687 * [backup-simplify]: Simplify 0 into 0 51.689 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 51.690 * [backup-simplify]: Simplify 0 into 0 51.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.692 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.698 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 51.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.699 * [backup-simplify]: Simplify (+ 0 0) into 0 51.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.702 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.704 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.707 * [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 51.710 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 51.710 * [taylor]: Taking taylor expansion of 0 in k 51.710 * [backup-simplify]: Simplify 0 into 0 51.710 * [backup-simplify]: Simplify 0 into 0 51.711 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2) 51.711 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 51.712 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 51.712 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 51.712 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.712 * [taylor]: Taking taylor expansion of 2 in n 51.712 * [backup-simplify]: Simplify 2 into 2 51.712 * [taylor]: Taking taylor expansion of (* n PI) in n 51.712 * [taylor]: Taking taylor expansion of n in n 51.712 * [backup-simplify]: Simplify 0 into 0 51.712 * [backup-simplify]: Simplify 1 into 1 51.712 * [taylor]: Taking taylor expansion of PI in n 51.712 * [backup-simplify]: Simplify PI into PI 51.712 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.712 * [taylor]: Taking taylor expansion of 2 in n 51.712 * [backup-simplify]: Simplify 2 into 2 51.712 * [taylor]: Taking taylor expansion of (* n PI) in n 51.712 * [taylor]: Taking taylor expansion of n in n 51.712 * [backup-simplify]: Simplify 0 into 0 51.712 * [backup-simplify]: Simplify 1 into 1 51.712 * [taylor]: Taking taylor expansion of PI in n 51.712 * [backup-simplify]: Simplify PI into PI 51.713 * [backup-simplify]: Simplify (* 0 PI) into 0 51.713 * [backup-simplify]: Simplify (* 2 0) into 0 51.713 * [backup-simplify]: Simplify 0 into 0 51.714 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.715 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.715 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.717 * [backup-simplify]: Simplify 0 into 0 51.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.718 * [backup-simplify]: Simplify 0 into 0 51.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.720 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 51.720 * [backup-simplify]: Simplify 0 into 0 51.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 51.721 * [backup-simplify]: Simplify 0 into 0 51.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 51.723 * [backup-simplify]: Simplify 0 into 0 51.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 51.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 51.725 * [backup-simplify]: Simplify 0 into 0 51.726 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 51.726 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 51.726 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 51.726 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.726 * [taylor]: Taking taylor expansion of 2 in n 51.726 * [backup-simplify]: Simplify 2 into 2 51.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.726 * [taylor]: Taking taylor expansion of PI in n 51.726 * [backup-simplify]: Simplify PI into PI 51.726 * [taylor]: Taking taylor expansion of n in n 51.726 * [backup-simplify]: Simplify 0 into 0 51.726 * [backup-simplify]: Simplify 1 into 1 51.726 * [backup-simplify]: Simplify (/ PI 1) into PI 51.726 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.726 * [taylor]: Taking taylor expansion of 2 in n 51.726 * [backup-simplify]: Simplify 2 into 2 51.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.726 * [taylor]: Taking taylor expansion of PI in n 51.726 * [backup-simplify]: Simplify PI into PI 51.726 * [taylor]: Taking taylor expansion of n in n 51.727 * [backup-simplify]: Simplify 0 into 0 51.727 * [backup-simplify]: Simplify 1 into 1 51.727 * [backup-simplify]: Simplify (/ PI 1) into PI 51.727 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.727 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.728 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.728 * [backup-simplify]: Simplify 0 into 0 51.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.730 * [backup-simplify]: Simplify 0 into 0 51.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.731 * [backup-simplify]: Simplify 0 into 0 51.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.732 * [backup-simplify]: Simplify 0 into 0 51.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.734 * [backup-simplify]: Simplify 0 into 0 51.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.735 * [backup-simplify]: Simplify 0 into 0 51.736 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 51.736 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 51.736 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 51.736 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.736 * [taylor]: Taking taylor expansion of -2 in n 51.736 * [backup-simplify]: Simplify -2 into -2 51.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.736 * [taylor]: Taking taylor expansion of PI in n 51.736 * [backup-simplify]: Simplify PI into PI 51.736 * [taylor]: Taking taylor expansion of n in n 51.736 * [backup-simplify]: Simplify 0 into 0 51.736 * [backup-simplify]: Simplify 1 into 1 51.736 * [backup-simplify]: Simplify (/ PI 1) into PI 51.736 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.736 * [taylor]: Taking taylor expansion of -2 in n 51.736 * [backup-simplify]: Simplify -2 into -2 51.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.736 * [taylor]: Taking taylor expansion of PI in n 51.736 * [backup-simplify]: Simplify PI into PI 51.737 * [taylor]: Taking taylor expansion of n in n 51.737 * [backup-simplify]: Simplify 0 into 0 51.737 * [backup-simplify]: Simplify 1 into 1 51.737 * [backup-simplify]: Simplify (/ PI 1) into PI 51.737 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.737 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.738 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.738 * [backup-simplify]: Simplify 0 into 0 51.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.740 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.740 * [backup-simplify]: Simplify 0 into 0 51.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.741 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.741 * [backup-simplify]: Simplify 0 into 0 51.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.746 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.746 * [backup-simplify]: Simplify 0 into 0 51.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.749 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.749 * [backup-simplify]: Simplify 0 into 0 51.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.753 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.753 * [backup-simplify]: Simplify 0 into 0 51.753 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 51.753 * * * [progress]: simplifying candidates 51.753 * * * * [progress]: [ 1 / 268 ] simplifiying candidate # 51.754 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 51.754 * * [simplify]: iters left: 6 (14 enodes) 51.762 * * [simplify]: iters left: 5 (60 enodes) 51.781 * * [simplify]: iters left: 4 (108 enodes) 51.820 * * [simplify]: iters left: 3 (249 enodes) 51.925 * * [simplify]: Extracting #0: cost 1 inf + 0 51.925 * * [simplify]: Extracting #1: cost 28 inf + 0 51.926 * * [simplify]: Extracting #2: cost 114 inf + 2 51.926 * * [simplify]: Extracting #3: cost 151 inf + 301 51.928 * * [simplify]: Extracting #4: cost 84 inf + 10352 51.932 * * [simplify]: Extracting #5: cost 17 inf + 27228 51.938 * * [simplify]: Extracting #6: cost 0 inf + 31848 51.944 * * [simplify]: Extracting #7: cost 0 inf + 31808 51.950 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 51.950 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))))) (sqrt k))) 51.950 * * * * [progress]: [ 2 / 268 ] simplifiying candidate # 51.950 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 51.950 * * [simplify]: iters left: 6 (13 enodes) 51.954 * * [simplify]: iters left: 5 (58 enodes) 51.967 * * [simplify]: iters left: 4 (101 enodes) 52.004 * * [simplify]: iters left: 3 (207 enodes) 52.070 * * [simplify]: iters left: 2 (498 enodes) 52.227 * * [simplify]: Extracting #0: cost 1 inf + 0 52.228 * * [simplify]: Extracting #1: cost 58 inf + 0 52.228 * * [simplify]: Extracting #2: cost 205 inf + 4 52.229 * * [simplify]: Extracting #3: cost 244 inf + 1075 52.233 * * [simplify]: Extracting #4: cost 137 inf + 20618 52.243 * * [simplify]: Extracting #5: cost 12 inf + 54441 52.258 * * [simplify]: Extracting #6: cost 0 inf + 58827 52.286 * * [simplify]: Extracting #7: cost 0 inf + 58826 52.311 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4) 52.311 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4))) (sqrt k))) 52.311 * * * * [progress]: [ 3 / 268 ] simplifiying candidate # 52.311 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 52.311 * * [simplify]: iters left: 6 (12 enodes) 52.319 * * [simplify]: iters left: 5 (57 enodes) 52.338 * * [simplify]: iters left: 4 (111 enodes) 52.358 * * [simplify]: iters left: 3 (212 enodes) 52.438 * * [simplify]: iters left: 2 (446 enodes) 52.571 * * [simplify]: Extracting #0: cost 1 inf + 0 52.571 * * [simplify]: Extracting #1: cost 34 inf + 0 52.571 * * [simplify]: Extracting #2: cost 143 inf + 4 52.572 * * [simplify]: Extracting #3: cost 200 inf + 396 52.574 * * [simplify]: Extracting #4: cost 133 inf + 9596 52.580 * * [simplify]: Extracting #5: cost 32 inf + 30294 52.592 * * [simplify]: Extracting #6: cost 1 inf + 36989 52.612 * * [simplify]: Extracting #7: cost 0 inf + 37182 52.622 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 52.622 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4))) (sqrt k))) 52.622 * * * * [progress]: [ 4 / 268 ] simplifiying candidate # 52.623 * * * * [progress]: [ 5 / 268 ] simplifiying candidate # 52.623 * [simplify]: Simplifying (* n (* 2 PI)) 52.623 * * [simplify]: iters left: 4 (5 enodes) 52.624 * * [simplify]: iters left: 3 (19 enodes) 52.627 * * [simplify]: iters left: 2 (27 enodes) 52.631 * * [simplify]: iters left: 1 (32 enodes) 52.636 * * [simplify]: Extracting #0: cost 1 inf + 0 52.636 * * [simplify]: Extracting #1: cost 8 inf + 0 52.636 * * [simplify]: Extracting #2: cost 7 inf + 45 52.636 * * [simplify]: Extracting #3: cost 0 inf + 421 52.636 * [simplify]: Simplified to (* (* PI 2) n) 52.636 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 52.636 * * * * [progress]: [ 6 / 268 ] simplifiying candidate # 52.636 * [simplify]: Simplifying (* n (* 2 PI)) 52.636 * * [simplify]: iters left: 4 (5 enodes) 52.639 * * [simplify]: iters left: 3 (19 enodes) 52.645 * * [simplify]: iters left: 2 (27 enodes) 52.652 * * [simplify]: iters left: 1 (32 enodes) 52.660 * * [simplify]: Extracting #0: cost 1 inf + 0 52.660 * * [simplify]: Extracting #1: cost 8 inf + 0 52.660 * * [simplify]: Extracting #2: cost 7 inf + 45 52.661 * * [simplify]: Extracting #3: cost 0 inf + 421 52.661 * [simplify]: Simplified to (* (* PI 2) n) 52.661 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 52.661 * * * * [progress]: [ 7 / 268 ] simplifiying candidate # 52.661 * [simplify]: Simplifying (* n (* 2 PI)) 52.661 * * [simplify]: iters left: 4 (5 enodes) 52.663 * * [simplify]: iters left: 3 (19 enodes) 52.666 * * [simplify]: iters left: 2 (27 enodes) 52.670 * * [simplify]: iters left: 1 (32 enodes) 52.675 * * [simplify]: Extracting #0: cost 1 inf + 0 52.675 * * [simplify]: Extracting #1: cost 8 inf + 0 52.675 * * [simplify]: Extracting #2: cost 7 inf + 45 52.675 * * [simplify]: Extracting #3: cost 0 inf + 421 52.675 * [simplify]: Simplified to (* (* PI 2) n) 52.675 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 52.675 * * * * [progress]: [ 8 / 268 ] simplifiying candidate # 52.676 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 52.676 * * [simplify]: iters left: 5 (9 enodes) 52.679 * * [simplify]: iters left: 4 (37 enodes) 52.684 * * [simplify]: iters left: 3 (57 enodes) 52.694 * * [simplify]: iters left: 2 (93 enodes) 52.713 * * [simplify]: iters left: 1 (170 enodes) 52.753 * * [simplify]: Extracting #0: cost 1 inf + 0 52.753 * * [simplify]: Extracting #1: cost 13 inf + 0 52.753 * * [simplify]: Extracting #2: cost 59 inf + 1 52.753 * * [simplify]: Extracting #3: cost 78 inf + 176 52.754 * * [simplify]: Extracting #4: cost 40 inf + 3875 52.756 * * [simplify]: Extracting #5: cost 7 inf + 16988 52.759 * * [simplify]: Extracting #6: cost 0 inf + 20577 52.762 * * [simplify]: Extracting #7: cost 0 inf + 20336 52.765 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 52.765 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4)))) (sqrt k))) 52.765 * * * * [progress]: [ 9 / 268 ] simplifiying candidate # 52.765 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 52.765 * * [simplify]: iters left: 6 (7 enodes) 52.768 * * [simplify]: iters left: 5 (32 enodes) 52.774 * * [simplify]: iters left: 4 (47 enodes) 52.789 * * [simplify]: iters left: 3 (53 enodes) 52.804 * * [simplify]: iters left: 2 (60 enodes) 52.821 * * [simplify]: Extracting #0: cost 1 inf + 0 52.821 * * [simplify]: Extracting #1: cost 3 inf + 0 52.821 * * [simplify]: Extracting #2: cost 11 inf + 0 52.821 * * [simplify]: Extracting #3: cost 17 inf + 3 52.821 * * [simplify]: Extracting #4: cost 14 inf + 129 52.821 * * [simplify]: Extracting #5: cost 3 inf + 794 52.822 * * [simplify]: Extracting #6: cost 0 inf + 1162 52.823 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 52.823 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))) (sqrt k))) 52.823 * * * * [progress]: [ 10 / 268 ] simplifiying candidate # 52.823 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 52.824 * * [simplify]: iters left: 6 (7 enodes) 52.829 * * [simplify]: iters left: 5 (32 enodes) 52.840 * * [simplify]: iters left: 4 (47 enodes) 52.853 * * [simplify]: iters left: 3 (53 enodes) 52.861 * * [simplify]: iters left: 2 (60 enodes) 52.870 * * [simplify]: Extracting #0: cost 1 inf + 0 52.870 * * [simplify]: Extracting #1: cost 3 inf + 0 52.870 * * [simplify]: Extracting #2: cost 11 inf + 0 52.870 * * [simplify]: Extracting #3: cost 17 inf + 3 52.870 * * [simplify]: Extracting #4: cost 14 inf + 129 52.870 * * [simplify]: Extracting #5: cost 3 inf + 794 52.870 * * [simplify]: Extracting #6: cost 0 inf + 1082 52.871 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 52.871 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))) (sqrt k))) 52.871 * * * * [progress]: [ 11 / 268 ] simplifiying candidate # 52.871 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 52.871 * * [simplify]: iters left: 6 (8 enodes) 52.874 * * [simplify]: iters left: 5 (32 enodes) 52.880 * * [simplify]: iters left: 4 (41 enodes) 52.890 * * [simplify]: Extracting #0: cost 1 inf + 0 52.891 * * [simplify]: Extracting #1: cost 4 inf + 0 52.891 * * [simplify]: Extracting #2: cost 8 inf + 0 52.891 * * [simplify]: Extracting #3: cost 9 inf + 163 52.891 * * [simplify]: Extracting #4: cost 13 inf + 164 52.891 * * [simplify]: Extracting #5: cost 10 inf + 249 52.891 * * [simplify]: Extracting #6: cost 3 inf + 986 52.892 * * [simplify]: Extracting #7: cost 0 inf + 1474 52.892 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 52.892 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (sqrt k))) 52.893 * * * * [progress]: [ 12 / 268 ] simplifiying candidate # 52.893 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 52.893 * * [simplify]: iters left: 6 (8 enodes) 52.898 * * [simplify]: iters left: 5 (32 enodes) 52.909 * * [simplify]: iters left: 4 (41 enodes) 52.924 * * [simplify]: Extracting #0: cost 1 inf + 0 52.924 * * [simplify]: Extracting #1: cost 4 inf + 0 52.924 * * [simplify]: Extracting #2: cost 8 inf + 0 52.924 * * [simplify]: Extracting #3: cost 9 inf + 83 52.924 * * [simplify]: Extracting #4: cost 13 inf + 84 52.924 * * [simplify]: Extracting #5: cost 10 inf + 169 52.925 * * [simplify]: Extracting #6: cost 3 inf + 866 52.925 * * [simplify]: Extracting #7: cost 0 inf + 1314 52.926 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 52.926 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))) (sqrt k))) 52.926 * * * * [progress]: [ 13 / 268 ] simplifiying candidate # 52.926 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 52.926 * * [simplify]: iters left: 6 (7 enodes) 52.931 * * [simplify]: iters left: 5 (29 enodes) 52.941 * * [simplify]: iters left: 4 (38 enodes) 52.952 * * [simplify]: Extracting #0: cost 1 inf + 0 52.952 * * [simplify]: Extracting #1: cost 4 inf + 0 52.952 * * [simplify]: Extracting #2: cost 5 inf + 1 52.952 * * [simplify]: Extracting #3: cost 9 inf + 1 52.952 * * [simplify]: Extracting #4: cost 13 inf + 2 52.952 * * [simplify]: Extracting #5: cost 12 inf + 4 52.952 * * [simplify]: Extracting #6: cost 2 inf + 746 52.953 * * [simplify]: Extracting #7: cost 0 inf + 1152 52.953 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 52.953 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))) (sqrt k))) 52.954 * * * * [progress]: [ 14 / 268 ] simplifiying candidate # 52.954 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 52.954 * * [simplify]: iters left: 6 (8 enodes) 52.959 * * [simplify]: iters left: 5 (32 enodes) 52.966 * * [simplify]: iters left: 4 (41 enodes) 52.972 * * [simplify]: Extracting #0: cost 1 inf + 0 52.972 * * [simplify]: Extracting #1: cost 4 inf + 0 52.972 * * [simplify]: Extracting #2: cost 8 inf + 0 52.972 * * [simplify]: Extracting #3: cost 9 inf + 163 52.972 * * [simplify]: Extracting #4: cost 13 inf + 164 52.972 * * [simplify]: Extracting #5: cost 10 inf + 249 52.972 * * [simplify]: Extracting #6: cost 3 inf + 906 52.973 * * [simplify]: Extracting #7: cost 0 inf + 1314 52.973 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 52.973 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))) (sqrt k))) 52.973 * * * * [progress]: [ 15 / 268 ] simplifiying candidate # 52.973 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 52.973 * * [simplify]: iters left: 6 (8 enodes) 52.976 * * [simplify]: iters left: 5 (32 enodes) 52.981 * * [simplify]: iters left: 4 (41 enodes) 52.988 * * [simplify]: Extracting #0: cost 1 inf + 0 52.988 * * [simplify]: Extracting #1: cost 4 inf + 0 52.988 * * [simplify]: Extracting #2: cost 8 inf + 0 52.988 * * [simplify]: Extracting #3: cost 9 inf + 83 52.988 * * [simplify]: Extracting #4: cost 13 inf + 84 52.988 * * [simplify]: Extracting #5: cost 10 inf + 169 52.988 * * [simplify]: Extracting #6: cost 3 inf + 786 52.989 * * [simplify]: Extracting #7: cost 0 inf + 1154 52.989 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 52.989 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))) (sqrt k))) 52.989 * * * * [progress]: [ 16 / 268 ] simplifiying candidate # 52.989 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 52.989 * * [simplify]: iters left: 6 (7 enodes) 52.994 * * [simplify]: iters left: 5 (29 enodes) 53.003 * * [simplify]: iters left: 4 (38 enodes) 53.010 * * [simplify]: Extracting #0: cost 1 inf + 0 53.010 * * [simplify]: Extracting #1: cost 4 inf + 0 53.010 * * [simplify]: Extracting #2: cost 5 inf + 1 53.010 * * [simplify]: Extracting #3: cost 9 inf + 1 53.010 * * [simplify]: Extracting #4: cost 13 inf + 2 53.010 * * [simplify]: Extracting #5: cost 12 inf + 4 53.011 * * [simplify]: Extracting #6: cost 2 inf + 666 53.011 * * [simplify]: Extracting #7: cost 0 inf + 992 53.011 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 53.011 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))) (sqrt k))) 53.011 * * * * [progress]: [ 17 / 268 ] simplifiying candidate # 53.011 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 53.011 * * [simplify]: iters left: 6 (8 enodes) 53.014 * * [simplify]: iters left: 5 (30 enodes) 53.019 * * [simplify]: iters left: 4 (37 enodes) 53.025 * * [simplify]: Extracting #0: cost 1 inf + 0 53.025 * * [simplify]: Extracting #1: cost 6 inf + 0 53.025 * * [simplify]: Extracting #2: cost 12 inf + 0 53.025 * * [simplify]: Extracting #3: cost 11 inf + 405 53.025 * * [simplify]: Extracting #4: cost 10 inf + 407 53.026 * * [simplify]: Extracting #5: cost 4 inf + 1220 53.026 * * [simplify]: Extracting #6: cost 0 inf + 1869 53.026 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 53.026 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 53.026 * * * * [progress]: [ 18 / 268 ] simplifiying candidate # 53.026 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 53.026 * * [simplify]: iters left: 6 (9 enodes) 53.032 * * [simplify]: iters left: 5 (33 enodes) 53.041 * * [simplify]: iters left: 4 (43 enodes) 53.054 * * [simplify]: iters left: 3 (45 enodes) 53.067 * * [simplify]: Extracting #0: cost 1 inf + 0 53.067 * * [simplify]: Extracting #1: cost 8 inf + 0 53.067 * * [simplify]: Extracting #2: cost 16 inf + 0 53.067 * * [simplify]: Extracting #3: cost 16 inf + 284 53.068 * * [simplify]: Extracting #4: cost 11 inf + 610 53.068 * * [simplify]: Extracting #5: cost 8 inf + 815 53.068 * * [simplify]: Extracting #6: cost 0 inf + 2517 53.069 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 53.069 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (sqrt k))) 53.070 * * * * [progress]: [ 19 / 268 ] simplifiying candidate # 53.070 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 53.070 * * [simplify]: iters left: 6 (8 enodes) 53.075 * * [simplify]: iters left: 5 (30 enodes) 53.081 * * [simplify]: iters left: 4 (40 enodes) 53.087 * * [simplify]: iters left: 3 (42 enodes) 53.094 * * [simplify]: Extracting #0: cost 1 inf + 0 53.094 * * [simplify]: Extracting #1: cost 8 inf + 0 53.094 * * [simplify]: Extracting #2: cost 12 inf + 82 53.094 * * [simplify]: Extracting #3: cost 13 inf + 405 53.094 * * [simplify]: Extracting #4: cost 12 inf + 407 53.094 * * [simplify]: Extracting #5: cost 5 inf + 1383 53.094 * * [simplify]: Extracting #6: cost 0 inf + 2195 53.095 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 53.095 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))) (sqrt k))) 53.095 * * * * [progress]: [ 20 / 268 ] simplifiying candidate # 53.095 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 53.095 * * [simplify]: iters left: 6 (9 enodes) 53.098 * * [simplify]: iters left: 5 (33 enodes) 53.104 * * [simplify]: iters left: 4 (43 enodes) 53.116 * * [simplify]: iters left: 3 (45 enodes) 53.129 * * [simplify]: Extracting #0: cost 1 inf + 0 53.129 * * [simplify]: Extracting #1: cost 8 inf + 0 53.129 * * [simplify]: Extracting #2: cost 16 inf + 0 53.130 * * [simplify]: Extracting #3: cost 16 inf + 284 53.130 * * [simplify]: Extracting #4: cost 11 inf + 610 53.130 * * [simplify]: Extracting #5: cost 8 inf + 815 53.131 * * [simplify]: Extracting #6: cost 0 inf + 2517 53.132 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 53.132 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (sqrt k))) 53.132 * * * * [progress]: [ 21 / 268 ] simplifiying candidate # 53.133 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 53.133 * * [simplify]: iters left: 6 (8 enodes) 53.137 * * [simplify]: iters left: 5 (30 enodes) 53.147 * * [simplify]: iters left: 4 (35 enodes) 53.155 * * [simplify]: Extracting #0: cost 1 inf + 0 53.155 * * [simplify]: Extracting #1: cost 6 inf + 0 53.156 * * [simplify]: Extracting #2: cost 8 inf + 42 53.156 * * [simplify]: Extracting #3: cost 11 inf + 83 53.156 * * [simplify]: Extracting #4: cost 10 inf + 85 53.156 * * [simplify]: Extracting #5: cost 4 inf + 658 53.156 * * [simplify]: Extracting #6: cost 0 inf + 1227 53.156 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 53.156 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))) (sqrt k))) 53.156 * * * * [progress]: [ 22 / 268 ] simplifiying candidate # 53.157 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 53.157 * * [simplify]: iters left: 6 (8 enodes) 53.161 * * [simplify]: iters left: 5 (30 enodes) 53.166 * * [simplify]: iters left: 4 (40 enodes) 53.172 * * [simplify]: iters left: 3 (42 enodes) 53.179 * * [simplify]: Extracting #0: cost 1 inf + 0 53.179 * * [simplify]: Extracting #1: cost 8 inf + 0 53.179 * * [simplify]: Extracting #2: cost 12 inf + 42 53.179 * * [simplify]: Extracting #3: cost 13 inf + 245 53.179 * * [simplify]: Extracting #4: cost 12 inf + 247 53.179 * * [simplify]: Extracting #5: cost 5 inf + 1143 53.179 * * [simplify]: Extracting #6: cost 0 inf + 1875 53.180 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 53.180 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))) (sqrt k))) 53.180 * * * * [progress]: [ 23 / 268 ] simplifiying candidate # 53.180 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 53.181 * * [simplify]: iters left: 6 (8 enodes) 53.185 * * [simplify]: iters left: 5 (30 enodes) 53.194 * * [simplify]: iters left: 4 (40 enodes) 53.202 * * [simplify]: iters left: 3 (42 enodes) 53.208 * * [simplify]: Extracting #0: cost 1 inf + 0 53.208 * * [simplify]: Extracting #1: cost 8 inf + 0 53.208 * * [simplify]: Extracting #2: cost 11 inf + 203 53.208 * * [simplify]: Extracting #3: cost 13 inf + 405 53.208 * * [simplify]: Extracting #4: cost 12 inf + 407 53.208 * * [simplify]: Extracting #5: cost 3 inf + 1789 53.209 * * [simplify]: Extracting #6: cost 0 inf + 2195 53.209 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 53.209 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))) (sqrt k))) 53.209 * * * * [progress]: [ 24 / 268 ] simplifiying candidate # 53.209 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 53.210 * * [simplify]: iters left: 6 (8 enodes) 53.212 * * [simplify]: iters left: 5 (30 enodes) 53.217 * * [simplify]: iters left: 4 (40 enodes) 53.224 * * [simplify]: iters left: 3 (42 enodes) 53.234 * * [simplify]: Extracting #0: cost 1 inf + 0 53.234 * * [simplify]: Extracting #1: cost 8 inf + 0 53.234 * * [simplify]: Extracting #2: cost 11 inf + 123 53.234 * * [simplify]: Extracting #3: cost 13 inf + 245 53.234 * * [simplify]: Extracting #4: cost 12 inf + 247 53.235 * * [simplify]: Extracting #5: cost 3 inf + 1509 53.236 * * [simplify]: Extracting #6: cost 0 inf + 1875 53.236 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 53.236 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))) (sqrt k))) 53.236 * * * * [progress]: [ 25 / 268 ] simplifiying candidate # 53.237 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 53.237 * * [simplify]: iters left: 6 (7 enodes) 53.242 * * [simplify]: iters left: 5 (28 enodes) 53.248 * * [simplify]: iters left: 4 (35 enodes) 53.254 * * [simplify]: Extracting #0: cost 1 inf + 0 53.254 * * [simplify]: Extracting #1: cost 6 inf + 0 53.254 * * [simplify]: Extracting #2: cost 7 inf + 2 53.254 * * [simplify]: Extracting #3: cost 11 inf + 2 53.254 * * [simplify]: Extracting #4: cost 9 inf + 45 53.254 * * [simplify]: Extracting #5: cost 4 inf + 455 53.254 * * [simplify]: Extracting #6: cost 0 inf + 1066 53.254 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 53.254 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))) (sqrt k))) 53.255 * * * * [progress]: [ 26 / 268 ] simplifiying candidate # 53.255 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 53.255 * * [simplify]: iters left: 6 (8 enodes) 53.257 * * [simplify]: iters left: 5 (30 enodes) 53.264 * * [simplify]: iters left: 4 (37 enodes) 53.270 * * [simplify]: Extracting #0: cost 1 inf + 0 53.270 * * [simplify]: Extracting #1: cost 6 inf + 0 53.270 * * [simplify]: Extracting #2: cost 12 inf + 0 53.270 * * [simplify]: Extracting #3: cost 11 inf + 405 53.270 * * [simplify]: Extracting #4: cost 10 inf + 407 53.270 * * [simplify]: Extracting #5: cost 4 inf + 1100 53.271 * * [simplify]: Extracting #6: cost 0 inf + 1629 53.271 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 53.271 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 53.271 * * * * [progress]: [ 27 / 268 ] simplifiying candidate # 53.271 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 53.271 * * [simplify]: iters left: 6 (9 enodes) 53.275 * * [simplify]: iters left: 5 (33 enodes) 53.286 * * [simplify]: iters left: 4 (43 enodes) 53.299 * * [simplify]: iters left: 3 (45 enodes) 53.313 * * [simplify]: Extracting #0: cost 1 inf + 0 53.313 * * [simplify]: Extracting #1: cost 8 inf + 0 53.313 * * [simplify]: Extracting #2: cost 16 inf + 0 53.313 * * [simplify]: Extracting #3: cost 16 inf + 284 53.313 * * [simplify]: Extracting #4: cost 11 inf + 610 53.313 * * [simplify]: Extracting #5: cost 8 inf + 775 53.314 * * [simplify]: Extracting #6: cost 0 inf + 2197 53.315 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 53.315 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (sqrt k))) 53.315 * * * * [progress]: [ 28 / 268 ] simplifiying candidate # 53.315 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 53.315 * * [simplify]: iters left: 6 (8 enodes) 53.320 * * [simplify]: iters left: 5 (30 enodes) 53.328 * * [simplify]: iters left: 4 (40 enodes) 53.334 * * [simplify]: iters left: 3 (42 enodes) 53.341 * * [simplify]: Extracting #0: cost 1 inf + 0 53.341 * * [simplify]: Extracting #1: cost 8 inf + 0 53.341 * * [simplify]: Extracting #2: cost 12 inf + 82 53.341 * * [simplify]: Extracting #3: cost 13 inf + 405 53.341 * * [simplify]: Extracting #4: cost 12 inf + 407 53.341 * * [simplify]: Extracting #5: cost 5 inf + 1223 53.341 * * [simplify]: Extracting #6: cost 0 inf + 1875 53.342 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 53.342 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))) (sqrt k))) 53.342 * * * * [progress]: [ 29 / 268 ] simplifiying candidate # 53.342 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 53.342 * * [simplify]: iters left: 6 (9 enodes) 53.345 * * [simplify]: iters left: 5 (33 enodes) 53.351 * * [simplify]: iters left: 4 (43 enodes) 53.361 * * [simplify]: iters left: 3 (45 enodes) 53.375 * * [simplify]: Extracting #0: cost 1 inf + 0 53.375 * * [simplify]: Extracting #1: cost 8 inf + 0 53.375 * * [simplify]: Extracting #2: cost 16 inf + 0 53.375 * * [simplify]: Extracting #3: cost 16 inf + 284 53.375 * * [simplify]: Extracting #4: cost 11 inf + 610 53.376 * * [simplify]: Extracting #5: cost 8 inf + 775 53.376 * * [simplify]: Extracting #6: cost 0 inf + 2197 53.377 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 53.377 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (sqrt k))) 53.377 * * * * [progress]: [ 30 / 268 ] simplifiying candidate # 53.378 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 53.378 * * [simplify]: iters left: 6 (8 enodes) 53.385 * * [simplify]: iters left: 5 (30 enodes) 53.391 * * [simplify]: iters left: 4 (35 enodes) 53.396 * * [simplify]: Extracting #0: cost 1 inf + 0 53.396 * * [simplify]: Extracting #1: cost 6 inf + 0 53.396 * * [simplify]: Extracting #2: cost 8 inf + 42 53.396 * * [simplify]: Extracting #3: cost 11 inf + 83 53.396 * * [simplify]: Extracting #4: cost 10 inf + 85 53.396 * * [simplify]: Extracting #5: cost 4 inf + 538 53.397 * * [simplify]: Extracting #6: cost 0 inf + 987 53.397 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 53.397 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))) (sqrt k))) 53.397 * * * * [progress]: [ 31 / 268 ] simplifiying candidate # 53.397 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 53.397 * * [simplify]: iters left: 6 (8 enodes) 53.400 * * [simplify]: iters left: 5 (30 enodes) 53.405 * * [simplify]: iters left: 4 (40 enodes) 53.411 * * [simplify]: iters left: 3 (42 enodes) 53.421 * * [simplify]: Extracting #0: cost 1 inf + 0 53.421 * * [simplify]: Extracting #1: cost 8 inf + 0 53.421 * * [simplify]: Extracting #2: cost 12 inf + 42 53.421 * * [simplify]: Extracting #3: cost 13 inf + 245 53.421 * * [simplify]: Extracting #4: cost 12 inf + 247 53.422 * * [simplify]: Extracting #5: cost 5 inf + 983 53.422 * * [simplify]: Extracting #6: cost 0 inf + 1555 53.423 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 53.423 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))) (sqrt k))) 53.423 * * * * [progress]: [ 32 / 268 ] simplifiying candidate # 53.423 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 53.424 * * [simplify]: iters left: 6 (8 enodes) 53.429 * * [simplify]: iters left: 5 (30 enodes) 53.439 * * [simplify]: iters left: 4 (40 enodes) 53.451 * * [simplify]: iters left: 3 (42 enodes) 53.463 * * [simplify]: Extracting #0: cost 1 inf + 0 53.463 * * [simplify]: Extracting #1: cost 8 inf + 0 53.463 * * [simplify]: Extracting #2: cost 11 inf + 203 53.463 * * [simplify]: Extracting #3: cost 13 inf + 405 53.463 * * [simplify]: Extracting #4: cost 12 inf + 407 53.464 * * [simplify]: Extracting #5: cost 3 inf + 1549 53.464 * * [simplify]: Extracting #6: cost 0 inf + 1875 53.465 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 53.465 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))) (sqrt k))) 53.465 * * * * [progress]: [ 33 / 268 ] simplifiying candidate # 53.466 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 53.466 * * [simplify]: iters left: 6 (8 enodes) 53.471 * * [simplify]: iters left: 5 (30 enodes) 53.481 * * [simplify]: iters left: 4 (40 enodes) 53.493 * * [simplify]: iters left: 3 (42 enodes) 53.504 * * [simplify]: Extracting #0: cost 1 inf + 0 53.504 * * [simplify]: Extracting #1: cost 8 inf + 0 53.505 * * [simplify]: Extracting #2: cost 11 inf + 123 53.505 * * [simplify]: Extracting #3: cost 13 inf + 245 53.505 * * [simplify]: Extracting #4: cost 12 inf + 247 53.505 * * [simplify]: Extracting #5: cost 3 inf + 1269 53.506 * * [simplify]: Extracting #6: cost 0 inf + 1555 53.506 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 53.506 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))) (sqrt k))) 53.507 * * * * [progress]: [ 34 / 268 ] simplifiying candidate # 53.507 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 53.507 * * [simplify]: iters left: 6 (7 enodes) 53.512 * * [simplify]: iters left: 5 (28 enodes) 53.523 * * [simplify]: iters left: 4 (35 enodes) 53.532 * * [simplify]: Extracting #0: cost 1 inf + 0 53.532 * * [simplify]: Extracting #1: cost 6 inf + 0 53.532 * * [simplify]: Extracting #2: cost 7 inf + 2 53.532 * * [simplify]: Extracting #3: cost 11 inf + 2 53.532 * * [simplify]: Extracting #4: cost 9 inf + 45 53.532 * * [simplify]: Extracting #5: cost 4 inf + 375 53.532 * * [simplify]: Extracting #6: cost 0 inf + 826 53.533 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 53.533 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))) (sqrt k))) 53.533 * * * * [progress]: [ 35 / 268 ] simplifiying candidate # 53.533 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 53.533 * * [simplify]: iters left: 6 (7 enodes) 53.535 * * [simplify]: iters left: 5 (30 enodes) 53.541 * * [simplify]: iters left: 4 (49 enodes) 53.548 * * [simplify]: iters left: 3 (59 enodes) 53.556 * * [simplify]: iters left: 2 (64 enodes) 53.569 * * [simplify]: Extracting #0: cost 1 inf + 0 53.569 * * [simplify]: Extracting #1: cost 9 inf + 0 53.569 * * [simplify]: Extracting #2: cost 23 inf + 0 53.569 * * [simplify]: Extracting #3: cost 24 inf + 3 53.569 * * [simplify]: Extracting #4: cost 15 inf + 980 53.570 * * [simplify]: Extracting #5: cost 1 inf + 3007 53.571 * * [simplify]: Extracting #6: cost 0 inf + 3169 53.572 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 53.572 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 53.572 * * * * [progress]: [ 36 / 268 ] simplifiying candidate # 53.573 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 53.573 * * [simplify]: iters left: 6 (8 enodes) 53.578 * * [simplify]: iters left: 5 (33 enodes) 53.590 * * [simplify]: iters left: 4 (55 enodes) 53.601 * * [simplify]: iters left: 3 (72 enodes) 53.611 * * [simplify]: iters left: 2 (84 enodes) 53.626 * * [simplify]: iters left: 1 (88 enodes) 53.643 * * [simplify]: Extracting #0: cost 1 inf + 0 53.643 * * [simplify]: Extracting #1: cost 11 inf + 0 53.643 * * [simplify]: Extracting #2: cost 30 inf + 0 53.643 * * [simplify]: Extracting #3: cost 33 inf + 84 53.644 * * [simplify]: Extracting #4: cost 12 inf + 2402 53.644 * * [simplify]: Extracting #5: cost 0 inf + 4469 53.645 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 53.645 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (sqrt k))) 53.645 * * * * [progress]: [ 37 / 268 ] simplifiying candidate # 53.646 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 53.646 * * [simplify]: iters left: 6 (7 enodes) 53.648 * * [simplify]: iters left: 5 (30 enodes) 53.654 * * [simplify]: iters left: 4 (52 enodes) 53.662 * * [simplify]: iters left: 3 (70 enodes) 53.674 * * [simplify]: iters left: 2 (81 enodes) 53.696 * * [simplify]: iters left: 1 (84 enodes) 53.707 * * [simplify]: Extracting #0: cost 1 inf + 0 53.707 * * [simplify]: Extracting #1: cost 11 inf + 0 53.708 * * [simplify]: Extracting #2: cost 25 inf + 203 53.708 * * [simplify]: Extracting #3: cost 25 inf + 530 53.708 * * [simplify]: Extracting #4: cost 4 inf + 2936 53.709 * * [simplify]: Extracting #5: cost 0 inf + 3504 53.709 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 53.709 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (sqrt k))) 53.709 * * * * [progress]: [ 38 / 268 ] simplifiying candidate # 53.710 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 53.710 * * [simplify]: iters left: 6 (8 enodes) 53.712 * * [simplify]: iters left: 5 (33 enodes) 53.721 * * [simplify]: iters left: 4 (55 enodes) 53.730 * * [simplify]: iters left: 3 (72 enodes) 53.743 * * [simplify]: iters left: 2 (84 enodes) 53.765 * * [simplify]: iters left: 1 (88 enodes) 53.788 * * [simplify]: Extracting #0: cost 1 inf + 0 53.788 * * [simplify]: Extracting #1: cost 11 inf + 0 53.788 * * [simplify]: Extracting #2: cost 30 inf + 0 53.788 * * [simplify]: Extracting #3: cost 33 inf + 44 53.789 * * [simplify]: Extracting #4: cost 12 inf + 2362 53.790 * * [simplify]: Extracting #5: cost 0 inf + 4469 53.790 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 53.790 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (sqrt k))) 53.791 * * * * [progress]: [ 39 / 268 ] simplifiying candidate # 53.791 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 53.791 * * [simplify]: iters left: 6 (7 enodes) 53.793 * * [simplify]: iters left: 5 (30 enodes) 53.799 * * [simplify]: iters left: 4 (48 enodes) 53.807 * * [simplify]: iters left: 3 (56 enodes) 53.815 * * [simplify]: Extracting #0: cost 1 inf + 0 53.815 * * [simplify]: Extracting #1: cost 8 inf + 0 53.815 * * [simplify]: Extracting #2: cost 15 inf + 43 53.815 * * [simplify]: Extracting #3: cost 16 inf + 86 53.815 * * [simplify]: Extracting #4: cost 5 inf + 911 53.815 * * [simplify]: Extracting #5: cost 1 inf + 1198 53.816 * * [simplify]: Extracting #6: cost 0 inf + 1320 53.816 * [simplify]: Simplified to (/ (- 1 k) 2) 53.816 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (sqrt k))) 53.816 * * * * [progress]: [ 40 / 268 ] simplifiying candidate # 53.816 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 53.816 * * [simplify]: iters left: 6 (7 enodes) 53.819 * * [simplify]: iters left: 5 (30 enodes) 53.827 * * [simplify]: iters left: 4 (52 enodes) 53.844 * * [simplify]: iters left: 3 (70 enodes) 53.863 * * [simplify]: iters left: 2 (81 enodes) 53.877 * * [simplify]: iters left: 1 (84 enodes) 53.888 * * [simplify]: Extracting #0: cost 1 inf + 0 53.888 * * [simplify]: Extracting #1: cost 11 inf + 0 53.889 * * [simplify]: Extracting #2: cost 25 inf + 123 53.889 * * [simplify]: Extracting #3: cost 25 inf + 330 53.889 * * [simplify]: Extracting #4: cost 4 inf + 2256 53.890 * * [simplify]: Extracting #5: cost 0 inf + 2704 53.890 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 53.890 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (sqrt k))) 53.891 * * * * [progress]: [ 41 / 268 ] simplifiying candidate # 53.891 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 53.891 * * [simplify]: iters left: 6 (7 enodes) 53.893 * * [simplify]: iters left: 5 (31 enodes) 53.899 * * [simplify]: iters left: 4 (51 enodes) 53.912 * * [simplify]: iters left: 3 (64 enodes) 53.922 * * [simplify]: iters left: 2 (77 enodes) 53.935 * * [simplify]: iters left: 1 (84 enodes) 53.946 * * [simplify]: Extracting #0: cost 1 inf + 0 53.946 * * [simplify]: Extracting #1: cost 11 inf + 0 53.946 * * [simplify]: Extracting #2: cost 26 inf + 82 53.946 * * [simplify]: Extracting #3: cost 24 inf + 692 53.947 * * [simplify]: Extracting #4: cost 3 inf + 3057 53.947 * * [simplify]: Extracting #5: cost 0 inf + 3504 53.948 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 53.948 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (sqrt k))) 53.948 * * * * [progress]: [ 42 / 268 ] simplifiying candidate # 53.948 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 53.948 * * [simplify]: iters left: 6 (7 enodes) 53.952 * * [simplify]: iters left: 5 (31 enodes) 53.963 * * [simplify]: iters left: 4 (51 enodes) 53.978 * * [simplify]: iters left: 3 (64 enodes) 53.988 * * [simplify]: iters left: 2 (77 enodes) 53.998 * * [simplify]: iters left: 1 (84 enodes) 54.009 * * [simplify]: Extracting #0: cost 1 inf + 0 54.010 * * [simplify]: Extracting #1: cost 11 inf + 0 54.010 * * [simplify]: Extracting #2: cost 26 inf + 42 54.010 * * [simplify]: Extracting #3: cost 24 inf + 452 54.011 * * [simplify]: Extracting #4: cost 3 inf + 2337 54.012 * * [simplify]: Extracting #5: cost 0 inf + 2704 54.013 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 54.013 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (sqrt k))) 54.014 * * * * [progress]: [ 43 / 268 ] simplifiying candidate # 54.014 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 54.014 * * [simplify]: iters left: 6 (6 enodes) 54.018 * * [simplify]: iters left: 5 (29 enodes) 54.029 * * [simplify]: iters left: 4 (44 enodes) 54.045 * * [simplify]: iters left: 3 (50 enodes) 54.060 * * [simplify]: iters left: 2 (57 enodes) 54.076 * * [simplify]: Extracting #0: cost 1 inf + 0 54.076 * * [simplify]: Extracting #1: cost 9 inf + 0 54.076 * * [simplify]: Extracting #2: cost 15 inf + 3 54.076 * * [simplify]: Extracting #3: cost 11 inf + 131 54.077 * * [simplify]: Extracting #4: cost 2 inf + 711 54.077 * * [simplify]: Extracting #5: cost 0 inf + 836 54.078 * [simplify]: Simplified to (- 1/4 (/ k 4)) 54.078 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (sqrt k))) 54.078 * * * * [progress]: [ 44 / 268 ] simplifiying candidate # 54.079 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 54.079 * * [simplify]: iters left: 6 (9 enodes) 54.084 * * [simplify]: iters left: 5 (36 enodes) 54.096 * * [simplify]: iters left: 4 (58 enodes) 54.113 * * [simplify]: iters left: 3 (71 enodes) 54.132 * * [simplify]: iters left: 2 (79 enodes) 54.151 * * [simplify]: iters left: 1 (80 enodes) 54.171 * * [simplify]: Extracting #0: cost 1 inf + 0 54.171 * * [simplify]: Extracting #1: cost 9 inf + 0 54.171 * * [simplify]: Extracting #2: cost 24 inf + 0 54.171 * * [simplify]: Extracting #3: cost 29 inf + 2 54.172 * * [simplify]: Extracting #4: cost 10 inf + 2233 54.173 * * [simplify]: Extracting #5: cost 1 inf + 4013 54.175 * * [simplify]: Extracting #6: cost 0 inf + 4135 54.176 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 54.176 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 54.176 * * * * [progress]: [ 45 / 268 ] simplifiying candidate # 54.177 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 54.177 * * [simplify]: iters left: 6 (10 enodes) 54.183 * * [simplify]: iters left: 5 (39 enodes) 54.194 * * [simplify]: iters left: 4 (64 enodes) 54.203 * * [simplify]: iters left: 3 (86 enodes) 54.215 * * [simplify]: iters left: 2 (99 enodes) 54.238 * * [simplify]: iters left: 1 (104 enodes) 54.263 * * [simplify]: Extracting #0: cost 1 inf + 0 54.263 * * [simplify]: Extracting #1: cost 11 inf + 0 54.263 * * [simplify]: Extracting #2: cost 31 inf + 0 54.263 * * [simplify]: Extracting #3: cost 39 inf + 2 54.264 * * [simplify]: Extracting #4: cost 22 inf + 1871 54.266 * * [simplify]: Extracting #5: cost 4 inf + 4865 54.267 * * [simplify]: Extracting #6: cost 0 inf + 5675 54.270 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 54.270 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (sqrt k))) 54.270 * * * * [progress]: [ 46 / 268 ] simplifiying candidate # 54.270 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 54.271 * * [simplify]: iters left: 6 (9 enodes) 54.275 * * [simplify]: iters left: 5 (36 enodes) 54.281 * * [simplify]: iters left: 4 (61 enodes) 54.290 * * [simplify]: iters left: 3 (84 enodes) 54.304 * * [simplify]: iters left: 2 (96 enodes) 54.327 * * [simplify]: iters left: 1 (100 enodes) 54.351 * * [simplify]: Extracting #0: cost 1 inf + 0 54.351 * * [simplify]: Extracting #1: cost 11 inf + 0 54.351 * * [simplify]: Extracting #2: cost 27 inf + 82 54.352 * * [simplify]: Extracting #3: cost 29 inf + 651 54.352 * * [simplify]: Extracting #4: cost 12 inf + 2763 54.354 * * [simplify]: Extracting #5: cost 1 inf + 4587 54.355 * * [simplify]: Extracting #6: cost 0 inf + 4710 54.357 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 54.357 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (sqrt k))) 54.357 * * * * [progress]: [ 47 / 268 ] simplifiying candidate # 54.358 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 54.358 * * [simplify]: iters left: 6 (10 enodes) 54.364 * * [simplify]: iters left: 5 (39 enodes) 54.377 * * [simplify]: iters left: 4 (64 enodes) 54.396 * * [simplify]: iters left: 3 (86 enodes) 54.420 * * [simplify]: iters left: 2 (99 enodes) 54.449 * * [simplify]: iters left: 1 (104 enodes) 54.466 * * [simplify]: Extracting #0: cost 1 inf + 0 54.466 * * [simplify]: Extracting #1: cost 11 inf + 0 54.466 * * [simplify]: Extracting #2: cost 31 inf + 0 54.466 * * [simplify]: Extracting #3: cost 39 inf + 2 54.466 * * [simplify]: Extracting #4: cost 22 inf + 1831 54.467 * * [simplify]: Extracting #5: cost 4 inf + 4785 54.468 * * [simplify]: Extracting #6: cost 0 inf + 5595 54.469 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 54.469 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (sqrt k))) 54.469 * * * * [progress]: [ 48 / 268 ] simplifiying candidate # 54.470 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 54.470 * * [simplify]: iters left: 6 (9 enodes) 54.473 * * [simplify]: iters left: 5 (36 enodes) 54.479 * * [simplify]: iters left: 4 (57 enodes) 54.488 * * [simplify]: iters left: 3 (73 enodes) 54.506 * * [simplify]: iters left: 2 (80 enodes) 54.525 * * [simplify]: iters left: 1 (81 enodes) 54.544 * * [simplify]: Extracting #0: cost 1 inf + 0 54.545 * * [simplify]: Extracting #1: cost 9 inf + 0 54.545 * * [simplify]: Extracting #2: cost 18 inf + 43 54.545 * * [simplify]: Extracting #3: cost 23 inf + 85 54.545 * * [simplify]: Extracting #4: cost 9 inf + 1271 54.546 * * [simplify]: Extracting #5: cost 0 inf + 2370 54.547 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 54.547 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 54.548 * * * * [progress]: [ 49 / 268 ] simplifiying candidate # 54.548 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 54.548 * * [simplify]: iters left: 6 (9 enodes) 54.554 * * [simplify]: iters left: 5 (36 enodes) 54.562 * * [simplify]: iters left: 4 (61 enodes) 54.572 * * [simplify]: iters left: 3 (84 enodes) 54.583 * * [simplify]: iters left: 2 (96 enodes) 54.596 * * [simplify]: iters left: 1 (100 enodes) 54.609 * * [simplify]: Extracting #0: cost 1 inf + 0 54.610 * * [simplify]: Extracting #1: cost 11 inf + 0 54.610 * * [simplify]: Extracting #2: cost 27 inf + 42 54.610 * * [simplify]: Extracting #3: cost 29 inf + 411 54.611 * * [simplify]: Extracting #4: cost 12 inf + 2163 54.612 * * [simplify]: Extracting #5: cost 1 inf + 3707 54.614 * * [simplify]: Extracting #6: cost 0 inf + 3830 54.615 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 54.615 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (sqrt k))) 54.616 * * * * [progress]: [ 50 / 268 ] simplifiying candidate # 54.616 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 54.616 * * [simplify]: iters left: 6 (9 enodes) 54.622 * * [simplify]: iters left: 5 (36 enodes) 54.635 * * [simplify]: iters left: 4 (62 enodes) 54.652 * * [simplify]: iters left: 3 (78 enodes) 54.677 * * [simplify]: iters left: 2 (90 enodes) 54.697 * * [simplify]: iters left: 1 (94 enodes) 54.709 * * [simplify]: Extracting #0: cost 1 inf + 0 54.709 * * [simplify]: Extracting #1: cost 11 inf + 0 54.709 * * [simplify]: Extracting #2: cost 27 inf + 1 54.709 * * [simplify]: Extracting #3: cost 29 inf + 409 54.710 * * [simplify]: Extracting #4: cost 12 inf + 2359 54.710 * * [simplify]: Extracting #5: cost 2 inf + 4022 54.711 * * [simplify]: Extracting #6: cost 0 inf + 4466 54.712 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 54.712 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (sqrt k))) 54.712 * * * * [progress]: [ 51 / 268 ] simplifiying candidate # 54.712 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 54.712 * * [simplify]: iters left: 6 (9 enodes) 54.716 * * [simplify]: iters left: 5 (36 enodes) 54.723 * * [simplify]: iters left: 4 (62 enodes) 54.740 * * [simplify]: iters left: 3 (78 enodes) 54.758 * * [simplify]: iters left: 2 (90 enodes) 54.770 * * [simplify]: iters left: 1 (94 enodes) 54.785 * * [simplify]: Extracting #0: cost 1 inf + 0 54.785 * * [simplify]: Extracting #1: cost 11 inf + 0 54.785 * * [simplify]: Extracting #2: cost 27 inf + 1 54.785 * * [simplify]: Extracting #3: cost 29 inf + 249 54.785 * * [simplify]: Extracting #4: cost 12 inf + 1879 54.786 * * [simplify]: Extracting #5: cost 2 inf + 3302 54.788 * * [simplify]: Extracting #6: cost 0 inf + 3666 54.789 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 54.789 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (sqrt k))) 54.790 * * * * [progress]: [ 52 / 268 ] simplifiying candidate # 54.790 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 54.790 * * [simplify]: iters left: 6 (8 enodes) 54.795 * * [simplify]: iters left: 5 (34 enodes) 54.809 * * [simplify]: iters left: 4 (58 enodes) 54.821 * * [simplify]: iters left: 3 (65 enodes) 54.830 * * [simplify]: Extracting #0: cost 1 inf + 0 54.830 * * [simplify]: Extracting #1: cost 8 inf + 0 54.830 * * [simplify]: Extracting #2: cost 14 inf + 3 54.830 * * [simplify]: Extracting #3: cost 17 inf + 5 54.830 * * [simplify]: Extracting #4: cost 12 inf + 292 54.830 * * [simplify]: Extracting #5: cost 1 inf + 1355 54.831 * * [simplify]: Extracting #6: cost 0 inf + 1478 54.831 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 54.831 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))) (sqrt k))) 54.831 * * * * [progress]: [ 53 / 268 ] simplifiying candidate # 54.831 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 54.831 * * [simplify]: iters left: 6 (8 enodes) 54.834 * * [simplify]: iters left: 5 (33 enodes) 54.839 * * [simplify]: iters left: 4 (52 enodes) 54.855 * * [simplify]: iters left: 3 (62 enodes) 54.872 * * [simplify]: iters left: 2 (67 enodes) 54.891 * * [simplify]: Extracting #0: cost 1 inf + 0 54.891 * * [simplify]: Extracting #1: cost 9 inf + 0 54.891 * * [simplify]: Extracting #2: cost 23 inf + 0 54.891 * * [simplify]: Extracting #3: cost 24 inf + 285 54.892 * * [simplify]: Extracting #4: cost 18 inf + 975 54.892 * * [simplify]: Extracting #5: cost 7 inf + 2516 54.893 * * [simplify]: Extracting #6: cost 0 inf + 3891 54.895 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 54.895 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 54.895 * * * * [progress]: [ 54 / 268 ] simplifiying candidate # 54.895 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 54.895 * * [simplify]: iters left: 6 (9 enodes) 54.901 * * [simplify]: iters left: 5 (36 enodes) 54.918 * * [simplify]: iters left: 4 (58 enodes) 54.933 * * [simplify]: iters left: 3 (75 enodes) 54.944 * * [simplify]: iters left: 2 (87 enodes) 54.956 * * [simplify]: iters left: 1 (91 enodes) 54.979 * * [simplify]: Extracting #0: cost 1 inf + 0 54.979 * * [simplify]: Extracting #1: cost 11 inf + 0 54.979 * * [simplify]: Extracting #2: cost 30 inf + 0 54.979 * * [simplify]: Extracting #3: cost 36 inf + 83 54.979 * * [simplify]: Extracting #4: cost 30 inf + 451 54.980 * * [simplify]: Extracting #5: cost 10 inf + 3649 54.982 * * [simplify]: Extracting #6: cost 0 inf + 5431 54.984 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 54.984 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (sqrt k))) 54.984 * * * * [progress]: [ 55 / 268 ] simplifiying candidate # 54.985 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 54.985 * * [simplify]: iters left: 6 (8 enodes) 54.990 * * [simplify]: iters left: 5 (33 enodes) 55.000 * * [simplify]: iters left: 4 (55 enodes) 55.018 * * [simplify]: iters left: 3 (73 enodes) 55.038 * * [simplify]: iters left: 2 (84 enodes) 55.063 * * [simplify]: iters left: 1 (87 enodes) 55.086 * * [simplify]: Extracting #0: cost 1 inf + 0 55.086 * * [simplify]: Extracting #1: cost 11 inf + 0 55.087 * * [simplify]: Extracting #2: cost 25 inf + 203 55.087 * * [simplify]: Extracting #3: cost 29 inf + 407 55.087 * * [simplify]: Extracting #4: cost 24 inf + 896 55.088 * * [simplify]: Extracting #5: cost 9 inf + 2805 55.089 * * [simplify]: Extracting #6: cost 0 inf + 4466 55.091 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 55.091 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (sqrt k))) 55.091 * * * * [progress]: [ 56 / 268 ] simplifiying candidate # 55.091 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 55.092 * * [simplify]: iters left: 6 (9 enodes) 55.097 * * [simplify]: iters left: 5 (36 enodes) 55.109 * * [simplify]: iters left: 4 (58 enodes) 55.127 * * [simplify]: iters left: 3 (75 enodes) 55.148 * * [simplify]: iters left: 2 (87 enodes) 55.163 * * [simplify]: iters left: 1 (91 enodes) 55.180 * * [simplify]: Extracting #0: cost 1 inf + 0 55.180 * * [simplify]: Extracting #1: cost 11 inf + 0 55.180 * * [simplify]: Extracting #2: cost 30 inf + 0 55.180 * * [simplify]: Extracting #3: cost 36 inf + 43 55.181 * * [simplify]: Extracting #4: cost 30 inf + 451 55.182 * * [simplify]: Extracting #5: cost 10 inf + 3769 55.182 * * [simplify]: Extracting #6: cost 0 inf + 5431 55.183 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 55.183 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (sqrt k))) 55.184 * * * * [progress]: [ 57 / 268 ] simplifiying candidate # 55.184 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 55.184 * * [simplify]: iters left: 6 (8 enodes) 55.186 * * [simplify]: iters left: 5 (33 enodes) 55.193 * * [simplify]: iters left: 4 (51 enodes) 55.201 * * [simplify]: iters left: 3 (59 enodes) 55.209 * * [simplify]: Extracting #0: cost 1 inf + 0 55.209 * * [simplify]: Extracting #1: cost 8 inf + 0 55.209 * * [simplify]: Extracting #2: cost 15 inf + 43 55.209 * * [simplify]: Extracting #3: cost 19 inf + 85 55.209 * * [simplify]: Extracting #4: cost 16 inf + 250 55.209 * * [simplify]: Extracting #5: cost 5 inf + 1311 55.210 * * [simplify]: Extracting #6: cost 0 inf + 1962 55.210 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 55.210 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 55.210 * * * * [progress]: [ 58 / 268 ] simplifiying candidate # 55.210 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 55.210 * * [simplify]: iters left: 6 (8 enodes) 55.213 * * [simplify]: iters left: 5 (33 enodes) 55.220 * * [simplify]: iters left: 4 (55 enodes) 55.237 * * [simplify]: iters left: 3 (73 enodes) 55.258 * * [simplify]: iters left: 2 (84 enodes) 55.280 * * [simplify]: iters left: 1 (87 enodes) 55.304 * * [simplify]: Extracting #0: cost 1 inf + 0 55.304 * * [simplify]: Extracting #1: cost 11 inf + 0 55.304 * * [simplify]: Extracting #2: cost 25 inf + 123 55.304 * * [simplify]: Extracting #3: cost 29 inf + 247 55.305 * * [simplify]: Extracting #4: cost 24 inf + 576 55.305 * * [simplify]: Extracting #5: cost 9 inf + 2245 55.306 * * [simplify]: Extracting #6: cost 0 inf + 3666 55.306 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 55.306 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (sqrt k))) 55.307 * * * * [progress]: [ 59 / 268 ] simplifiying candidate # 55.307 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 55.307 * * [simplify]: iters left: 6 (8 enodes) 55.310 * * [simplify]: iters left: 5 (34 enodes) 55.316 * * [simplify]: iters left: 4 (54 enodes) 55.324 * * [simplify]: iters left: 3 (67 enodes) 55.334 * * [simplify]: iters left: 2 (80 enodes) 55.345 * * [simplify]: iters left: 1 (87 enodes) 55.360 * * [simplify]: Extracting #0: cost 1 inf + 0 55.360 * * [simplify]: Extracting #1: cost 11 inf + 0 55.360 * * [simplify]: Extracting #2: cost 25 inf + 203 55.360 * * [simplify]: Extracting #3: cost 26 inf + 773 55.361 * * [simplify]: Extracting #4: cost 24 inf + 896 55.361 * * [simplify]: Extracting #5: cost 8 inf + 3127 55.363 * * [simplify]: Extracting #6: cost 0 inf + 4466 55.364 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 55.364 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (sqrt k))) 55.365 * * * * [progress]: [ 60 / 268 ] simplifiying candidate # 55.365 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 55.365 * * [simplify]: iters left: 6 (8 enodes) 55.370 * * [simplify]: iters left: 5 (34 enodes) 55.382 * * [simplify]: iters left: 4 (54 enodes) 55.398 * * [simplify]: iters left: 3 (67 enodes) 55.415 * * [simplify]: iters left: 2 (80 enodes) 55.426 * * [simplify]: iters left: 1 (87 enodes) 55.438 * * [simplify]: Extracting #0: cost 1 inf + 0 55.438 * * [simplify]: Extracting #1: cost 11 inf + 0 55.438 * * [simplify]: Extracting #2: cost 25 inf + 123 55.438 * * [simplify]: Extracting #3: cost 26 inf + 493 55.438 * * [simplify]: Extracting #4: cost 24 inf + 576 55.439 * * [simplify]: Extracting #5: cost 8 inf + 2527 55.439 * * [simplify]: Extracting #6: cost 0 inf + 3666 55.440 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 55.440 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (sqrt k))) 55.440 * * * * [progress]: [ 61 / 268 ] simplifiying candidate # 55.440 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 55.441 * * [simplify]: iters left: 6 (7 enodes) 55.443 * * [simplify]: iters left: 5 (32 enodes) 55.452 * * [simplify]: iters left: 4 (50 enodes) 55.466 * * [simplify]: iters left: 3 (54 enodes) 55.477 * * [simplify]: Extracting #0: cost 1 inf + 0 55.477 * * [simplify]: Extracting #1: cost 8 inf + 0 55.477 * * [simplify]: Extracting #2: cost 13 inf + 3 55.477 * * [simplify]: Extracting #3: cost 15 inf + 5 55.478 * * [simplify]: Extracting #4: cost 14 inf + 6 55.478 * * [simplify]: Extracting #5: cost 4 inf + 825 55.478 * * [simplify]: Extracting #6: cost 0 inf + 1234 55.478 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 55.478 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))) (sqrt k))) 55.478 * * * * [progress]: [ 62 / 268 ] simplifiying candidate # 55.479 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 55.479 * * [simplify]: iters left: 6 (7 enodes) 55.481 * * [simplify]: iters left: 5 (30 enodes) 55.486 * * [simplify]: iters left: 4 (49 enodes) 55.494 * * [simplify]: iters left: 3 (59 enodes) 55.506 * * [simplify]: iters left: 2 (64 enodes) 55.514 * * [simplify]: Extracting #0: cost 1 inf + 0 55.514 * * [simplify]: Extracting #1: cost 9 inf + 0 55.514 * * [simplify]: Extracting #2: cost 23 inf + 0 55.514 * * [simplify]: Extracting #3: cost 24 inf + 3 55.515 * * [simplify]: Extracting #4: cost 15 inf + 980 55.515 * * [simplify]: Extracting #5: cost 1 inf + 3007 55.515 * * [simplify]: Extracting #6: cost 0 inf + 3169 55.516 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 55.516 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (sqrt k))) 55.516 * * * * [progress]: [ 63 / 268 ] simplifiying candidate # 55.516 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 55.516 * * [simplify]: iters left: 6 (8 enodes) 55.519 * * [simplify]: iters left: 5 (33 enodes) 55.525 * * [simplify]: iters left: 4 (55 enodes) 55.534 * * [simplify]: iters left: 3 (72 enodes) 55.547 * * [simplify]: iters left: 2 (84 enodes) 55.570 * * [simplify]: iters left: 1 (88 enodes) 55.593 * * [simplify]: Extracting #0: cost 1 inf + 0 55.594 * * [simplify]: Extracting #1: cost 11 inf + 0 55.594 * * [simplify]: Extracting #2: cost 30 inf + 0 55.594 * * [simplify]: Extracting #3: cost 33 inf + 84 55.595 * * [simplify]: Extracting #4: cost 12 inf + 2402 55.596 * * [simplify]: Extracting #5: cost 0 inf + 4469 55.598 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 55.598 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (sqrt k))) 55.598 * * * * [progress]: [ 64 / 268 ] simplifiying candidate # 55.598 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 55.598 * * [simplify]: iters left: 6 (7 enodes) 55.603 * * [simplify]: iters left: 5 (30 enodes) 55.613 * * [simplify]: iters left: 4 (52 enodes) 55.624 * * [simplify]: iters left: 3 (70 enodes) 55.634 * * [simplify]: iters left: 2 (81 enodes) 55.648 * * [simplify]: iters left: 1 (84 enodes) 55.665 * * [simplify]: Extracting #0: cost 1 inf + 0 55.666 * * [simplify]: Extracting #1: cost 11 inf + 0 55.666 * * [simplify]: Extracting #2: cost 25 inf + 203 55.666 * * [simplify]: Extracting #3: cost 25 inf + 530 55.666 * * [simplify]: Extracting #4: cost 4 inf + 2936 55.667 * * [simplify]: Extracting #5: cost 0 inf + 3504 55.667 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 55.667 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (sqrt k))) 55.668 * * * * [progress]: [ 65 / 268 ] simplifiying candidate # 55.668 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 55.668 * * [simplify]: iters left: 6 (8 enodes) 55.671 * * [simplify]: iters left: 5 (33 enodes) 55.677 * * [simplify]: iters left: 4 (55 enodes) 55.685 * * [simplify]: iters left: 3 (72 enodes) 55.702 * * [simplify]: iters left: 2 (84 enodes) 55.718 * * [simplify]: iters left: 1 (88 enodes) 55.730 * * [simplify]: Extracting #0: cost 1 inf + 0 55.730 * * [simplify]: Extracting #1: cost 11 inf + 0 55.730 * * [simplify]: Extracting #2: cost 30 inf + 0 55.730 * * [simplify]: Extracting #3: cost 33 inf + 44 55.730 * * [simplify]: Extracting #4: cost 12 inf + 2362 55.731 * * [simplify]: Extracting #5: cost 0 inf + 4469 55.732 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 55.732 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (sqrt k))) 55.732 * * * * [progress]: [ 66 / 268 ] simplifiying candidate # 55.732 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 55.732 * * [simplify]: iters left: 6 (7 enodes) 55.734 * * [simplify]: iters left: 5 (30 enodes) 55.742 * * [simplify]: iters left: 4 (48 enodes) 55.755 * * [simplify]: iters left: 3 (56 enodes) 55.763 * * [simplify]: Extracting #0: cost 1 inf + 0 55.763 * * [simplify]: Extracting #1: cost 8 inf + 0 55.763 * * [simplify]: Extracting #2: cost 15 inf + 43 55.763 * * [simplify]: Extracting #3: cost 16 inf + 86 55.763 * * [simplify]: Extracting #4: cost 5 inf + 911 55.763 * * [simplify]: Extracting #5: cost 1 inf + 1198 55.764 * * [simplify]: Extracting #6: cost 0 inf + 1320 55.764 * [simplify]: Simplified to (/ (- 1 k) 2) 55.764 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (sqrt k))) 55.764 * * * * [progress]: [ 67 / 268 ] simplifiying candidate # 55.764 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 55.764 * * [simplify]: iters left: 6 (7 enodes) 55.767 * * [simplify]: iters left: 5 (30 enodes) 55.772 * * [simplify]: iters left: 4 (52 enodes) 55.781 * * [simplify]: iters left: 3 (70 enodes) 55.800 * * [simplify]: iters left: 2 (81 enodes) 55.821 * * [simplify]: iters left: 1 (84 enodes) 55.832 * * [simplify]: Extracting #0: cost 1 inf + 0 55.832 * * [simplify]: Extracting #1: cost 11 inf + 0 55.833 * * [simplify]: Extracting #2: cost 25 inf + 123 55.833 * * [simplify]: Extracting #3: cost 25 inf + 330 55.833 * * [simplify]: Extracting #4: cost 4 inf + 2256 55.834 * * [simplify]: Extracting #5: cost 0 inf + 2704 55.836 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 55.836 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (sqrt k))) 55.836 * * * * [progress]: [ 68 / 268 ] simplifiying candidate # 55.836 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 55.836 * * [simplify]: iters left: 6 (7 enodes) 55.842 * * [simplify]: iters left: 5 (31 enodes) 55.852 * * [simplify]: iters left: 4 (51 enodes) 55.867 * * [simplify]: iters left: 3 (64 enodes) 55.886 * * [simplify]: iters left: 2 (77 enodes) 55.905 * * [simplify]: iters left: 1 (84 enodes) 55.924 * * [simplify]: Extracting #0: cost 1 inf + 0 55.924 * * [simplify]: Extracting #1: cost 11 inf + 0 55.924 * * [simplify]: Extracting #2: cost 26 inf + 82 55.925 * * [simplify]: Extracting #3: cost 24 inf + 692 55.925 * * [simplify]: Extracting #4: cost 3 inf + 3057 55.926 * * [simplify]: Extracting #5: cost 0 inf + 3504 55.928 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 55.928 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (sqrt k))) 55.928 * * * * [progress]: [ 69 / 268 ] simplifiying candidate # 55.928 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 55.928 * * [simplify]: iters left: 6 (7 enodes) 55.933 * * [simplify]: iters left: 5 (31 enodes) 55.942 * * [simplify]: iters left: 4 (51 enodes) 55.960 * * [simplify]: iters left: 3 (64 enodes) 55.976 * * [simplify]: iters left: 2 (77 enodes) 55.994 * * [simplify]: iters left: 1 (84 enodes) 56.013 * * [simplify]: Extracting #0: cost 1 inf + 0 56.013 * * [simplify]: Extracting #1: cost 11 inf + 0 56.013 * * [simplify]: Extracting #2: cost 26 inf + 42 56.014 * * [simplify]: Extracting #3: cost 24 inf + 452 56.014 * * [simplify]: Extracting #4: cost 3 inf + 2337 56.016 * * [simplify]: Extracting #5: cost 0 inf + 2704 56.017 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 56.017 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (sqrt k))) 56.017 * * * * [progress]: [ 70 / 268 ] simplifiying candidate # 56.017 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 56.017 * * [simplify]: iters left: 6 (6 enodes) 56.022 * * [simplify]: iters left: 5 (29 enodes) 56.030 * * [simplify]: iters left: 4 (44 enodes) 56.042 * * [simplify]: iters left: 3 (50 enodes) 56.055 * * [simplify]: iters left: 2 (57 enodes) 56.069 * * [simplify]: Extracting #0: cost 1 inf + 0 56.069 * * [simplify]: Extracting #1: cost 9 inf + 0 56.069 * * [simplify]: Extracting #2: cost 15 inf + 3 56.069 * * [simplify]: Extracting #3: cost 11 inf + 131 56.070 * * [simplify]: Extracting #4: cost 2 inf + 711 56.070 * * [simplify]: Extracting #5: cost 0 inf + 836 56.071 * [simplify]: Simplified to (- 1/4 (/ k 4)) 56.071 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (sqrt k))) 56.071 * * * * [progress]: [ 71 / 268 ] simplifiying candidate # 56.071 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 56.071 * * [simplify]: iters left: 6 (7 enodes) 56.076 * * [simplify]: iters left: 5 (31 enodes) 56.085 * * [simplify]: iters left: 4 (51 enodes) 56.103 * * [simplify]: iters left: 3 (64 enodes) 56.118 * * [simplify]: iters left: 2 (77 enodes) 56.132 * * [simplify]: iters left: 1 (84 enodes) 56.144 * * [simplify]: Extracting #0: cost 1 inf + 0 56.144 * * [simplify]: Extracting #1: cost 11 inf + 0 56.144 * * [simplify]: Extracting #2: cost 26 inf + 82 56.144 * * [simplify]: Extracting #3: cost 24 inf + 692 56.144 * * [simplify]: Extracting #4: cost 3 inf + 3057 56.145 * * [simplify]: Extracting #5: cost 0 inf + 3504 56.146 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 56.146 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (sqrt k))) 56.146 * * * * [progress]: [ 72 / 268 ] simplifiying candidate # 56.146 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 56.146 * * [simplify]: iters left: 6 (7 enodes) 56.149 * * [simplify]: iters left: 5 (31 enodes) 56.154 * * [simplify]: iters left: 4 (51 enodes) 56.167 * * [simplify]: iters left: 3 (64 enodes) 56.185 * * [simplify]: iters left: 2 (77 enodes) 56.200 * * [simplify]: iters left: 1 (84 enodes) 56.213 * * [simplify]: Extracting #0: cost 1 inf + 0 56.213 * * [simplify]: Extracting #1: cost 11 inf + 0 56.213 * * [simplify]: Extracting #2: cost 26 inf + 42 56.213 * * [simplify]: Extracting #3: cost 24 inf + 452 56.214 * * [simplify]: Extracting #4: cost 3 inf + 2337 56.214 * * [simplify]: Extracting #5: cost 0 inf + 2704 56.215 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 56.215 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (sqrt k))) 56.215 * * * * [progress]: [ 73 / 268 ] simplifiying candidate # 56.215 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 56.215 * * [simplify]: iters left: 6 (6 enodes) 56.218 * * [simplify]: iters left: 5 (29 enodes) 56.224 * * [simplify]: iters left: 4 (44 enodes) 56.237 * * [simplify]: iters left: 3 (50 enodes) 56.252 * * [simplify]: iters left: 2 (57 enodes) 56.268 * * [simplify]: Extracting #0: cost 1 inf + 0 56.268 * * [simplify]: Extracting #1: cost 9 inf + 0 56.268 * * [simplify]: Extracting #2: cost 15 inf + 3 56.268 * * [simplify]: Extracting #3: cost 11 inf + 131 56.269 * * [simplify]: Extracting #4: cost 2 inf + 711 56.269 * * [simplify]: Extracting #5: cost 0 inf + 836 56.270 * [simplify]: Simplified to (- 1/4 (/ k 4)) 56.270 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4)))) (sqrt k))) 56.270 * * * * [progress]: [ 74 / 268 ] simplifiying candidate # 56.270 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 56.270 * * [simplify]: iters left: 4 (5 enodes) 56.275 * * [simplify]: iters left: 3 (20 enodes) 56.282 * * [simplify]: iters left: 2 (27 enodes) 56.288 * * [simplify]: iters left: 1 (29 enodes) 56.293 * * [simplify]: Extracting #0: cost 1 inf + 0 56.293 * * [simplify]: Extracting #1: cost 8 inf + 0 56.293 * * [simplify]: Extracting #2: cost 4 inf + 449 56.293 * * [simplify]: Extracting #3: cost 0 inf + 895 56.293 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 56.293 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))) (sqrt k))) 56.294 * * * * [progress]: [ 75 / 268 ] simplifiying candidate # 56.294 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 56.294 * * [simplify]: iters left: 4 (5 enodes) 56.296 * * [simplify]: iters left: 3 (20 enodes) 56.300 * * [simplify]: iters left: 2 (27 enodes) 56.304 * * [simplify]: iters left: 1 (29 enodes) 56.309 * * [simplify]: Extracting #0: cost 1 inf + 0 56.309 * * [simplify]: Extracting #1: cost 8 inf + 0 56.309 * * [simplify]: Extracting #2: cost 4 inf + 289 56.309 * * [simplify]: Extracting #3: cost 0 inf + 575 56.309 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 56.309 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))) (sqrt k))) 56.309 * * * * [progress]: [ 76 / 268 ] simplifiying candidate # 56.310 * [simplify]: Simplifying (/ (/ 1 2) 2) 56.310 * * [simplify]: iters left: 4 (4 enodes) 56.312 * * [simplify]: iters left: 3 (19 enodes) 56.319 * * [simplify]: iters left: 2 (23 enodes) 56.323 * * [simplify]: Extracting #0: cost 1 inf + 0 56.323 * * [simplify]: Extracting #1: cost 0 inf + 1 56.323 * [simplify]: Simplified to 1/4 56.323 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4)) (sqrt k))) 56.324 * * * * [progress]: [ 77 / 268 ] simplifiying candidate # 56.324 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 56.324 * * [simplify]: iters left: 6 (6 enodes) 56.329 * * [simplify]: iters left: 5 (29 enodes) 56.339 * * [simplify]: iters left: 4 (44 enodes) 56.351 * * [simplify]: iters left: 3 (50 enodes) 56.359 * * [simplify]: iters left: 2 (57 enodes) 56.367 * * [simplify]: Extracting #0: cost 1 inf + 0 56.367 * * [simplify]: Extracting #1: cost 9 inf + 0 56.367 * * [simplify]: Extracting #2: cost 15 inf + 3 56.367 * * [simplify]: Extracting #3: cost 11 inf + 131 56.367 * * [simplify]: Extracting #4: cost 2 inf + 711 56.367 * * [simplify]: Extracting #5: cost 0 inf + 836 56.368 * [simplify]: Simplified to (- 1/4 (/ k 4)) 56.368 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4)))) (sqrt k))) 56.368 * * * * [progress]: [ 78 / 268 ] simplifiying candidate # 56.368 * [simplify]: Simplifying (/ 1 2) 56.368 * * [simplify]: iters left: 2 (3 enodes) 56.370 * * [simplify]: iters left: 1 (12 enodes) 56.372 * * [simplify]: Extracting #0: cost 1 inf + 0 56.372 * * [simplify]: Extracting #1: cost 0 inf + 1 56.372 * [simplify]: Simplified to 1/2 56.372 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2)) (sqrt k))) 56.372 * * * * [progress]: [ 79 / 268 ] simplifiying candidate # 56.372 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 56.372 * * [simplify]: iters left: 6 (8 enodes) 56.375 * * [simplify]: iters left: 5 (38 enodes) 56.382 * * [simplify]: iters left: 4 (66 enodes) 56.402 * * [simplify]: iters left: 3 (110 enodes) 56.445 * * [simplify]: iters left: 2 (200 enodes) 56.506 * * [simplify]: iters left: 1 (403 enodes) 56.726 * * [simplify]: Extracting #0: cost 1 inf + 0 56.726 * * [simplify]: Extracting #1: cost 26 inf + 0 56.726 * * [simplify]: Extracting #2: cost 100 inf + 2 56.728 * * [simplify]: Extracting #3: cost 164 inf + 10 56.729 * * [simplify]: Extracting #4: cost 157 inf + 1472 56.736 * * [simplify]: Extracting #5: cost 64 inf + 19273 56.750 * * [simplify]: Extracting #6: cost 8 inf + 47461 56.767 * * [simplify]: Extracting #7: cost 0 inf + 52807 56.784 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 56.784 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 56.784 * * * * [progress]: [ 80 / 268 ] simplifiying candidate # 56.784 * * * * [progress]: [ 81 / 268 ] simplifiying candidate # 56.784 * * * * [progress]: [ 82 / 268 ] simplifiying candidate # 56.784 * * * * [progress]: [ 83 / 268 ] simplifiying candidate # 56.784 * * * * [progress]: [ 84 / 268 ] simplifiying candidate # 56.785 * * * * [progress]: [ 85 / 268 ] simplifiying candidate # 56.785 * * * * [progress]: [ 86 / 268 ] simplifiying candidate # 56.785 * * * * [progress]: [ 87 / 268 ] simplifiying candidate # 56.785 * * * * [progress]: [ 88 / 268 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))> 56.785 * * * * [progress]: [ 89 / 268 ] simplifiying candidate # 56.785 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 56.785 * * [simplify]: iters left: 6 (14 enodes) 56.793 * * [simplify]: iters left: 5 (60 enodes) 56.810 * * [simplify]: iters left: 4 (108 enodes) 56.830 * * [simplify]: iters left: 3 (249 enodes) 56.925 * * [simplify]: Extracting #0: cost 1 inf + 0 56.925 * * [simplify]: Extracting #1: cost 28 inf + 0 56.925 * * [simplify]: Extracting #2: cost 114 inf + 2 56.926 * * [simplify]: Extracting #3: cost 151 inf + 301 56.928 * * [simplify]: Extracting #4: cost 84 inf + 10352 56.932 * * [simplify]: Extracting #5: cost 17 inf + 27228 56.938 * * [simplify]: Extracting #6: cost 0 inf + 31848 56.944 * * [simplify]: Extracting #7: cost 0 inf + 31808 56.951 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 56.951 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 56.951 * * * * [progress]: [ 90 / 268 ] simplifiying candidate # 56.952 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 56.952 * * [simplify]: iters left: 6 (13 enodes) 56.960 * * [simplify]: iters left: 5 (58 enodes) 56.980 * * [simplify]: iters left: 4 (101 enodes) 56.998 * * [simplify]: iters left: 3 (207 enodes) 57.055 * * [simplify]: iters left: 2 (498 enodes) 57.179 * * [simplify]: Extracting #0: cost 1 inf + 0 57.179 * * [simplify]: Extracting #1: cost 58 inf + 0 57.180 * * [simplify]: Extracting #2: cost 205 inf + 4 57.181 * * [simplify]: Extracting #3: cost 244 inf + 1075 57.184 * * [simplify]: Extracting #4: cost 137 inf + 20618 57.195 * * [simplify]: Extracting #5: cost 12 inf + 54441 57.216 * * [simplify]: Extracting #6: cost 0 inf + 58827 57.240 * * [simplify]: Extracting #7: cost 0 inf + 58826 57.256 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4) 57.256 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.256 * * * * [progress]: [ 91 / 268 ] simplifiying candidate # 57.256 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 57.256 * * [simplify]: iters left: 6 (12 enodes) 57.260 * * [simplify]: iters left: 5 (57 enodes) 57.271 * * [simplify]: iters left: 4 (111 enodes) 57.297 * * [simplify]: iters left: 3 (212 enodes) 57.357 * * [simplify]: iters left: 2 (446 enodes) 57.505 * * [simplify]: Extracting #0: cost 1 inf + 0 57.505 * * [simplify]: Extracting #1: cost 34 inf + 0 57.506 * * [simplify]: Extracting #2: cost 143 inf + 4 57.508 * * [simplify]: Extracting #3: cost 200 inf + 396 57.512 * * [simplify]: Extracting #4: cost 133 inf + 9596 57.524 * * [simplify]: Extracting #5: cost 32 inf + 30294 57.539 * * [simplify]: Extracting #6: cost 1 inf + 36989 57.552 * * [simplify]: Extracting #7: cost 0 inf + 37182 57.564 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 57.564 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.564 * * * * [progress]: [ 92 / 268 ] simplifiying candidate # 57.564 * * * * [progress]: [ 93 / 268 ] simplifiying candidate # 57.564 * [simplify]: Simplifying (* n (* 2 PI)) 57.564 * * [simplify]: iters left: 4 (5 enodes) 57.566 * * [simplify]: iters left: 3 (19 enodes) 57.569 * * [simplify]: iters left: 2 (27 enodes) 57.573 * * [simplify]: iters left: 1 (32 enodes) 57.577 * * [simplify]: Extracting #0: cost 1 inf + 0 57.577 * * [simplify]: Extracting #1: cost 8 inf + 0 57.577 * * [simplify]: Extracting #2: cost 7 inf + 45 57.577 * * [simplify]: Extracting #3: cost 0 inf + 421 57.577 * [simplify]: Simplified to (* (* PI 2) n) 57.577 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.577 * * * * [progress]: [ 94 / 268 ] simplifiying candidate # 57.578 * [simplify]: Simplifying (* n (* 2 PI)) 57.578 * * [simplify]: iters left: 4 (5 enodes) 57.581 * * [simplify]: iters left: 3 (19 enodes) 57.587 * * [simplify]: iters left: 2 (27 enodes) 57.594 * * [simplify]: iters left: 1 (32 enodes) 57.602 * * [simplify]: Extracting #0: cost 1 inf + 0 57.602 * * [simplify]: Extracting #1: cost 8 inf + 0 57.602 * * [simplify]: Extracting #2: cost 7 inf + 45 57.603 * * [simplify]: Extracting #3: cost 0 inf + 421 57.603 * [simplify]: Simplified to (* (* PI 2) n) 57.603 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.603 * * * * [progress]: [ 95 / 268 ] simplifiying candidate # 57.603 * [simplify]: Simplifying (* n (* 2 PI)) 57.604 * * [simplify]: iters left: 4 (5 enodes) 57.606 * * [simplify]: iters left: 3 (19 enodes) 57.613 * * [simplify]: iters left: 2 (27 enodes) 57.619 * * [simplify]: iters left: 1 (32 enodes) 57.623 * * [simplify]: Extracting #0: cost 1 inf + 0 57.623 * * [simplify]: Extracting #1: cost 8 inf + 0 57.623 * * [simplify]: Extracting #2: cost 7 inf + 45 57.623 * * [simplify]: Extracting #3: cost 0 inf + 421 57.624 * [simplify]: Simplified to (* (* PI 2) n) 57.624 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.624 * * * * [progress]: [ 96 / 268 ] simplifiying candidate # 57.624 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 57.624 * * [simplify]: iters left: 5 (9 enodes) 57.627 * * [simplify]: iters left: 4 (37 enodes) 57.633 * * [simplify]: iters left: 3 (57 enodes) 57.642 * * [simplify]: iters left: 2 (93 enodes) 57.676 * * [simplify]: iters left: 1 (170 enodes) 57.738 * * [simplify]: Extracting #0: cost 1 inf + 0 57.738 * * [simplify]: Extracting #1: cost 13 inf + 0 57.739 * * [simplify]: Extracting #2: cost 59 inf + 1 57.739 * * [simplify]: Extracting #3: cost 78 inf + 176 57.741 * * [simplify]: Extracting #4: cost 40 inf + 3875 57.745 * * [simplify]: Extracting #5: cost 7 inf + 16988 57.752 * * [simplify]: Extracting #6: cost 0 inf + 20577 57.758 * * [simplify]: Extracting #7: cost 0 inf + 20336 57.764 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 57.764 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.764 * * * * [progress]: [ 97 / 268 ] simplifiying candidate # 57.764 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 57.764 * * [simplify]: iters left: 6 (7 enodes) 57.769 * * [simplify]: iters left: 5 (32 enodes) 57.780 * * [simplify]: iters left: 4 (47 enodes) 57.794 * * [simplify]: iters left: 3 (53 enodes) 57.810 * * [simplify]: iters left: 2 (60 enodes) 57.826 * * [simplify]: Extracting #0: cost 1 inf + 0 57.826 * * [simplify]: Extracting #1: cost 3 inf + 0 57.826 * * [simplify]: Extracting #2: cost 11 inf + 0 57.826 * * [simplify]: Extracting #3: cost 17 inf + 3 57.826 * * [simplify]: Extracting #4: cost 14 inf + 129 57.826 * * [simplify]: Extracting #5: cost 3 inf + 794 57.827 * * [simplify]: Extracting #6: cost 0 inf + 1162 57.827 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 57.827 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.827 * * * * [progress]: [ 98 / 268 ] simplifiying candidate # 57.827 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 57.828 * * [simplify]: iters left: 6 (7 enodes) 57.830 * * [simplify]: iters left: 5 (32 enodes) 57.836 * * [simplify]: iters left: 4 (47 enodes) 57.843 * * [simplify]: iters left: 3 (53 enodes) 57.852 * * [simplify]: iters left: 2 (60 enodes) 57.869 * * [simplify]: Extracting #0: cost 1 inf + 0 57.869 * * [simplify]: Extracting #1: cost 3 inf + 0 57.869 * * [simplify]: Extracting #2: cost 11 inf + 0 57.869 * * [simplify]: Extracting #3: cost 17 inf + 3 57.869 * * [simplify]: Extracting #4: cost 14 inf + 129 57.870 * * [simplify]: Extracting #5: cost 3 inf + 794 57.870 * * [simplify]: Extracting #6: cost 0 inf + 1082 57.871 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 57.871 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.871 * * * * [progress]: [ 99 / 268 ] simplifiying candidate # 57.871 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 57.872 * * [simplify]: iters left: 6 (8 enodes) 57.875 * * [simplify]: iters left: 5 (32 enodes) 57.881 * * [simplify]: iters left: 4 (41 enodes) 57.887 * * [simplify]: Extracting #0: cost 1 inf + 0 57.887 * * [simplify]: Extracting #1: cost 4 inf + 0 57.887 * * [simplify]: Extracting #2: cost 8 inf + 0 57.887 * * [simplify]: Extracting #3: cost 9 inf + 163 57.887 * * [simplify]: Extracting #4: cost 13 inf + 164 57.887 * * [simplify]: Extracting #5: cost 10 inf + 249 57.887 * * [simplify]: Extracting #6: cost 3 inf + 986 57.888 * * [simplify]: Extracting #7: cost 0 inf + 1474 57.888 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 57.888 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.888 * * * * [progress]: [ 100 / 268 ] simplifiying candidate # 57.888 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 57.888 * * [simplify]: iters left: 6 (8 enodes) 57.891 * * [simplify]: iters left: 5 (32 enodes) 57.896 * * [simplify]: iters left: 4 (41 enodes) 57.902 * * [simplify]: Extracting #0: cost 1 inf + 0 57.902 * * [simplify]: Extracting #1: cost 4 inf + 0 57.902 * * [simplify]: Extracting #2: cost 8 inf + 0 57.902 * * [simplify]: Extracting #3: cost 9 inf + 83 57.903 * * [simplify]: Extracting #4: cost 13 inf + 84 57.903 * * [simplify]: Extracting #5: cost 10 inf + 169 57.903 * * [simplify]: Extracting #6: cost 3 inf + 866 57.903 * * [simplify]: Extracting #7: cost 0 inf + 1314 57.903 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 57.903 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.903 * * * * [progress]: [ 101 / 268 ] simplifiying candidate # 57.904 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 57.904 * * [simplify]: iters left: 6 (7 enodes) 57.906 * * [simplify]: iters left: 5 (29 enodes) 57.914 * * [simplify]: iters left: 4 (38 enodes) 57.921 * * [simplify]: Extracting #0: cost 1 inf + 0 57.921 * * [simplify]: Extracting #1: cost 4 inf + 0 57.921 * * [simplify]: Extracting #2: cost 5 inf + 1 57.921 * * [simplify]: Extracting #3: cost 9 inf + 1 57.921 * * [simplify]: Extracting #4: cost 13 inf + 2 57.921 * * [simplify]: Extracting #5: cost 12 inf + 4 57.921 * * [simplify]: Extracting #6: cost 2 inf + 746 57.922 * * [simplify]: Extracting #7: cost 0 inf + 1152 57.922 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 57.922 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.922 * * * * [progress]: [ 102 / 268 ] simplifiying candidate # 57.923 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 57.923 * * [simplify]: iters left: 6 (8 enodes) 57.928 * * [simplify]: iters left: 5 (32 enodes) 57.939 * * [simplify]: iters left: 4 (41 enodes) 57.951 * * [simplify]: Extracting #0: cost 1 inf + 0 57.951 * * [simplify]: Extracting #1: cost 4 inf + 0 57.951 * * [simplify]: Extracting #2: cost 8 inf + 0 57.951 * * [simplify]: Extracting #3: cost 9 inf + 163 57.951 * * [simplify]: Extracting #4: cost 13 inf + 164 57.951 * * [simplify]: Extracting #5: cost 10 inf + 249 57.952 * * [simplify]: Extracting #6: cost 3 inf + 906 57.952 * * [simplify]: Extracting #7: cost 0 inf + 1314 57.953 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 57.953 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.953 * * * * [progress]: [ 103 / 268 ] simplifiying candidate # 57.953 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 57.953 * * [simplify]: iters left: 6 (8 enodes) 57.958 * * [simplify]: iters left: 5 (32 enodes) 57.969 * * [simplify]: iters left: 4 (41 enodes) 57.981 * * [simplify]: Extracting #0: cost 1 inf + 0 57.981 * * [simplify]: Extracting #1: cost 4 inf + 0 57.981 * * [simplify]: Extracting #2: cost 8 inf + 0 57.982 * * [simplify]: Extracting #3: cost 9 inf + 83 57.982 * * [simplify]: Extracting #4: cost 13 inf + 84 57.982 * * [simplify]: Extracting #5: cost 10 inf + 169 57.982 * * [simplify]: Extracting #6: cost 3 inf + 786 57.983 * * [simplify]: Extracting #7: cost 0 inf + 1154 57.983 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 57.983 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 57.983 * * * * [progress]: [ 104 / 268 ] simplifiying candidate # 57.984 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 57.984 * * [simplify]: iters left: 6 (7 enodes) 57.988 * * [simplify]: iters left: 5 (29 enodes) 57.998 * * [simplify]: iters left: 4 (38 enodes) 58.003 * * [simplify]: Extracting #0: cost 1 inf + 0 58.003 * * [simplify]: Extracting #1: cost 4 inf + 0 58.003 * * [simplify]: Extracting #2: cost 5 inf + 1 58.003 * * [simplify]: Extracting #3: cost 9 inf + 1 58.003 * * [simplify]: Extracting #4: cost 13 inf + 2 58.003 * * [simplify]: Extracting #5: cost 12 inf + 4 58.004 * * [simplify]: Extracting #6: cost 2 inf + 666 58.004 * * [simplify]: Extracting #7: cost 0 inf + 992 58.004 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 58.004 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.004 * * * * [progress]: [ 105 / 268 ] simplifiying candidate # 58.004 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 58.004 * * [simplify]: iters left: 6 (8 enodes) 58.007 * * [simplify]: iters left: 5 (30 enodes) 58.012 * * [simplify]: iters left: 4 (37 enodes) 58.017 * * [simplify]: Extracting #0: cost 1 inf + 0 58.017 * * [simplify]: Extracting #1: cost 6 inf + 0 58.018 * * [simplify]: Extracting #2: cost 12 inf + 0 58.018 * * [simplify]: Extracting #3: cost 11 inf + 405 58.018 * * [simplify]: Extracting #4: cost 10 inf + 407 58.018 * * [simplify]: Extracting #5: cost 4 inf + 1220 58.018 * * [simplify]: Extracting #6: cost 0 inf + 1869 58.018 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 58.018 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.019 * * * * [progress]: [ 106 / 268 ] simplifiying candidate # 58.019 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 58.019 * * [simplify]: iters left: 6 (9 enodes) 58.022 * * [simplify]: iters left: 5 (33 enodes) 58.030 * * [simplify]: iters left: 4 (43 enodes) 58.046 * * [simplify]: iters left: 3 (45 enodes) 58.059 * * [simplify]: Extracting #0: cost 1 inf + 0 58.059 * * [simplify]: Extracting #1: cost 8 inf + 0 58.059 * * [simplify]: Extracting #2: cost 16 inf + 0 58.059 * * [simplify]: Extracting #3: cost 16 inf + 284 58.060 * * [simplify]: Extracting #4: cost 11 inf + 610 58.060 * * [simplify]: Extracting #5: cost 8 inf + 815 58.061 * * [simplify]: Extracting #6: cost 0 inf + 2517 58.061 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 58.061 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.062 * * * * [progress]: [ 107 / 268 ] simplifiying candidate # 58.062 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 58.062 * * [simplify]: iters left: 6 (8 enodes) 58.067 * * [simplify]: iters left: 5 (30 enodes) 58.077 * * [simplify]: iters left: 4 (40 enodes) 58.089 * * [simplify]: iters left: 3 (42 enodes) 58.101 * * [simplify]: Extracting #0: cost 1 inf + 0 58.101 * * [simplify]: Extracting #1: cost 8 inf + 0 58.101 * * [simplify]: Extracting #2: cost 12 inf + 82 58.102 * * [simplify]: Extracting #3: cost 13 inf + 405 58.102 * * [simplify]: Extracting #4: cost 12 inf + 407 58.102 * * [simplify]: Extracting #5: cost 5 inf + 1383 58.103 * * [simplify]: Extracting #6: cost 0 inf + 2195 58.104 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 58.104 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.104 * * * * [progress]: [ 108 / 268 ] simplifiying candidate # 58.105 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 58.105 * * [simplify]: iters left: 6 (9 enodes) 58.110 * * [simplify]: iters left: 5 (33 enodes) 58.121 * * [simplify]: iters left: 4 (43 enodes) 58.134 * * [simplify]: iters left: 3 (45 enodes) 58.147 * * [simplify]: Extracting #0: cost 1 inf + 0 58.147 * * [simplify]: Extracting #1: cost 8 inf + 0 58.147 * * [simplify]: Extracting #2: cost 16 inf + 0 58.147 * * [simplify]: Extracting #3: cost 16 inf + 284 58.148 * * [simplify]: Extracting #4: cost 11 inf + 610 58.148 * * [simplify]: Extracting #5: cost 8 inf + 815 58.149 * * [simplify]: Extracting #6: cost 0 inf + 2517 58.149 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 58.149 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.150 * * * * [progress]: [ 109 / 268 ] simplifiying candidate # 58.150 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 58.150 * * [simplify]: iters left: 6 (8 enodes) 58.155 * * [simplify]: iters left: 5 (30 enodes) 58.165 * * [simplify]: iters left: 4 (35 enodes) 58.175 * * [simplify]: Extracting #0: cost 1 inf + 0 58.175 * * [simplify]: Extracting #1: cost 6 inf + 0 58.175 * * [simplify]: Extracting #2: cost 8 inf + 42 58.175 * * [simplify]: Extracting #3: cost 11 inf + 83 58.175 * * [simplify]: Extracting #4: cost 10 inf + 85 58.176 * * [simplify]: Extracting #5: cost 4 inf + 658 58.176 * * [simplify]: Extracting #6: cost 0 inf + 1227 58.177 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 58.177 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.177 * * * * [progress]: [ 110 / 268 ] simplifiying candidate # 58.177 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 58.177 * * [simplify]: iters left: 6 (8 enodes) 58.182 * * [simplify]: iters left: 5 (30 enodes) 58.191 * * [simplify]: iters left: 4 (40 enodes) 58.201 * * [simplify]: iters left: 3 (42 enodes) 58.208 * * [simplify]: Extracting #0: cost 1 inf + 0 58.208 * * [simplify]: Extracting #1: cost 8 inf + 0 58.208 * * [simplify]: Extracting #2: cost 12 inf + 42 58.208 * * [simplify]: Extracting #3: cost 13 inf + 245 58.208 * * [simplify]: Extracting #4: cost 12 inf + 247 58.208 * * [simplify]: Extracting #5: cost 5 inf + 1143 58.209 * * [simplify]: Extracting #6: cost 0 inf + 1875 58.209 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 58.209 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.209 * * * * [progress]: [ 111 / 268 ] simplifiying candidate # 58.209 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 58.209 * * [simplify]: iters left: 6 (8 enodes) 58.212 * * [simplify]: iters left: 5 (30 enodes) 58.217 * * [simplify]: iters left: 4 (40 enodes) 58.223 * * [simplify]: iters left: 3 (42 enodes) 58.233 * * [simplify]: Extracting #0: cost 1 inf + 0 58.233 * * [simplify]: Extracting #1: cost 8 inf + 0 58.233 * * [simplify]: Extracting #2: cost 11 inf + 203 58.233 * * [simplify]: Extracting #3: cost 13 inf + 405 58.233 * * [simplify]: Extracting #4: cost 12 inf + 407 58.234 * * [simplify]: Extracting #5: cost 3 inf + 1789 58.234 * * [simplify]: Extracting #6: cost 0 inf + 2195 58.235 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 58.235 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.235 * * * * [progress]: [ 112 / 268 ] simplifiying candidate # 58.236 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 58.236 * * [simplify]: iters left: 6 (8 enodes) 58.240 * * [simplify]: iters left: 5 (30 enodes) 58.250 * * [simplify]: iters left: 4 (40 enodes) 58.262 * * [simplify]: iters left: 3 (42 enodes) 58.274 * * [simplify]: Extracting #0: cost 1 inf + 0 58.274 * * [simplify]: Extracting #1: cost 8 inf + 0 58.274 * * [simplify]: Extracting #2: cost 11 inf + 123 58.274 * * [simplify]: Extracting #3: cost 13 inf + 245 58.274 * * [simplify]: Extracting #4: cost 12 inf + 247 58.275 * * [simplify]: Extracting #5: cost 3 inf + 1509 58.276 * * [simplify]: Extracting #6: cost 0 inf + 1875 58.276 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 58.276 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.277 * * * * [progress]: [ 113 / 268 ] simplifiying candidate # 58.277 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 58.277 * * [simplify]: iters left: 6 (7 enodes) 58.281 * * [simplify]: iters left: 5 (28 enodes) 58.290 * * [simplify]: iters left: 4 (35 enodes) 58.300 * * [simplify]: Extracting #0: cost 1 inf + 0 58.300 * * [simplify]: Extracting #1: cost 6 inf + 0 58.300 * * [simplify]: Extracting #2: cost 7 inf + 2 58.301 * * [simplify]: Extracting #3: cost 11 inf + 2 58.301 * * [simplify]: Extracting #4: cost 9 inf + 45 58.301 * * [simplify]: Extracting #5: cost 4 inf + 455 58.301 * * [simplify]: Extracting #6: cost 0 inf + 1066 58.302 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 58.302 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.302 * * * * [progress]: [ 114 / 268 ] simplifiying candidate # 58.302 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 58.302 * * [simplify]: iters left: 6 (8 enodes) 58.307 * * [simplify]: iters left: 5 (30 enodes) 58.317 * * [simplify]: iters left: 4 (37 enodes) 58.328 * * [simplify]: Extracting #0: cost 1 inf + 0 58.328 * * [simplify]: Extracting #1: cost 6 inf + 0 58.328 * * [simplify]: Extracting #2: cost 12 inf + 0 58.328 * * [simplify]: Extracting #3: cost 11 inf + 405 58.328 * * [simplify]: Extracting #4: cost 10 inf + 407 58.328 * * [simplify]: Extracting #5: cost 4 inf + 1100 58.329 * * [simplify]: Extracting #6: cost 0 inf + 1629 58.330 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 58.330 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.330 * * * * [progress]: [ 115 / 268 ] simplifiying candidate # 58.330 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 58.330 * * [simplify]: iters left: 6 (9 enodes) 58.339 * * [simplify]: iters left: 5 (33 enodes) 58.350 * * [simplify]: iters left: 4 (43 enodes) 58.360 * * [simplify]: iters left: 3 (45 enodes) 58.367 * * [simplify]: Extracting #0: cost 1 inf + 0 58.367 * * [simplify]: Extracting #1: cost 8 inf + 0 58.367 * * [simplify]: Extracting #2: cost 16 inf + 0 58.367 * * [simplify]: Extracting #3: cost 16 inf + 284 58.367 * * [simplify]: Extracting #4: cost 11 inf + 610 58.368 * * [simplify]: Extracting #5: cost 8 inf + 775 58.368 * * [simplify]: Extracting #6: cost 0 inf + 2197 58.368 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 58.368 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.368 * * * * [progress]: [ 116 / 268 ] simplifiying candidate # 58.369 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 58.369 * * [simplify]: iters left: 6 (8 enodes) 58.371 * * [simplify]: iters left: 5 (30 enodes) 58.376 * * [simplify]: iters left: 4 (40 enodes) 58.382 * * [simplify]: iters left: 3 (42 enodes) 58.388 * * [simplify]: Extracting #0: cost 1 inf + 0 58.388 * * [simplify]: Extracting #1: cost 8 inf + 0 58.389 * * [simplify]: Extracting #2: cost 12 inf + 82 58.389 * * [simplify]: Extracting #3: cost 13 inf + 405 58.389 * * [simplify]: Extracting #4: cost 12 inf + 407 58.389 * * [simplify]: Extracting #5: cost 5 inf + 1223 58.389 * * [simplify]: Extracting #6: cost 0 inf + 1875 58.389 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 58.389 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.390 * * * * [progress]: [ 117 / 268 ] simplifiying candidate # 58.390 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 58.390 * * [simplify]: iters left: 6 (9 enodes) 58.393 * * [simplify]: iters left: 5 (33 enodes) 58.398 * * [simplify]: iters left: 4 (43 enodes) 58.405 * * [simplify]: iters left: 3 (45 enodes) 58.412 * * [simplify]: Extracting #0: cost 1 inf + 0 58.412 * * [simplify]: Extracting #1: cost 8 inf + 0 58.412 * * [simplify]: Extracting #2: cost 16 inf + 0 58.412 * * [simplify]: Extracting #3: cost 16 inf + 284 58.412 * * [simplify]: Extracting #4: cost 11 inf + 610 58.412 * * [simplify]: Extracting #5: cost 8 inf + 775 58.412 * * [simplify]: Extracting #6: cost 0 inf + 2197 58.413 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 58.413 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.413 * * * * [progress]: [ 118 / 268 ] simplifiying candidate # 58.413 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 58.413 * * [simplify]: iters left: 6 (8 enodes) 58.416 * * [simplify]: iters left: 5 (30 enodes) 58.421 * * [simplify]: iters left: 4 (35 enodes) 58.430 * * [simplify]: Extracting #0: cost 1 inf + 0 58.430 * * [simplify]: Extracting #1: cost 6 inf + 0 58.430 * * [simplify]: Extracting #2: cost 8 inf + 42 58.430 * * [simplify]: Extracting #3: cost 11 inf + 83 58.430 * * [simplify]: Extracting #4: cost 10 inf + 85 58.431 * * [simplify]: Extracting #5: cost 4 inf + 538 58.431 * * [simplify]: Extracting #6: cost 0 inf + 987 58.431 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 58.432 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.432 * * * * [progress]: [ 119 / 268 ] simplifiying candidate # 58.432 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 58.432 * * [simplify]: iters left: 6 (8 enodes) 58.437 * * [simplify]: iters left: 5 (30 enodes) 58.447 * * [simplify]: iters left: 4 (40 enodes) 58.458 * * [simplify]: iters left: 3 (42 enodes) 58.470 * * [simplify]: Extracting #0: cost 1 inf + 0 58.470 * * [simplify]: Extracting #1: cost 8 inf + 0 58.470 * * [simplify]: Extracting #2: cost 12 inf + 42 58.470 * * [simplify]: Extracting #3: cost 13 inf + 245 58.470 * * [simplify]: Extracting #4: cost 12 inf + 247 58.471 * * [simplify]: Extracting #5: cost 5 inf + 983 58.471 * * [simplify]: Extracting #6: cost 0 inf + 1555 58.472 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 58.472 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.472 * * * * [progress]: [ 120 / 268 ] simplifiying candidate # 58.472 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 58.473 * * [simplify]: iters left: 6 (8 enodes) 58.477 * * [simplify]: iters left: 5 (30 enodes) 58.487 * * [simplify]: iters left: 4 (40 enodes) 58.498 * * [simplify]: iters left: 3 (42 enodes) 58.511 * * [simplify]: Extracting #0: cost 1 inf + 0 58.511 * * [simplify]: Extracting #1: cost 8 inf + 0 58.511 * * [simplify]: Extracting #2: cost 11 inf + 203 58.511 * * [simplify]: Extracting #3: cost 13 inf + 405 58.511 * * [simplify]: Extracting #4: cost 12 inf + 407 58.512 * * [simplify]: Extracting #5: cost 3 inf + 1549 58.512 * * [simplify]: Extracting #6: cost 0 inf + 1875 58.513 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 58.513 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.513 * * * * [progress]: [ 121 / 268 ] simplifiying candidate # 58.514 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 58.514 * * [simplify]: iters left: 6 (8 enodes) 58.518 * * [simplify]: iters left: 5 (30 enodes) 58.528 * * [simplify]: iters left: 4 (40 enodes) 58.540 * * [simplify]: iters left: 3 (42 enodes) 58.552 * * [simplify]: Extracting #0: cost 1 inf + 0 58.552 * * [simplify]: Extracting #1: cost 8 inf + 0 58.552 * * [simplify]: Extracting #2: cost 11 inf + 123 58.552 * * [simplify]: Extracting #3: cost 13 inf + 245 58.552 * * [simplify]: Extracting #4: cost 12 inf + 247 58.553 * * [simplify]: Extracting #5: cost 3 inf + 1269 58.553 * * [simplify]: Extracting #6: cost 0 inf + 1555 58.554 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 58.554 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.554 * * * * [progress]: [ 122 / 268 ] simplifiying candidate # 58.554 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 58.555 * * [simplify]: iters left: 6 (7 enodes) 58.559 * * [simplify]: iters left: 5 (28 enodes) 58.568 * * [simplify]: iters left: 4 (35 enodes) 58.578 * * [simplify]: Extracting #0: cost 1 inf + 0 58.578 * * [simplify]: Extracting #1: cost 6 inf + 0 58.578 * * [simplify]: Extracting #2: cost 7 inf + 2 58.578 * * [simplify]: Extracting #3: cost 11 inf + 2 58.579 * * [simplify]: Extracting #4: cost 9 inf + 45 58.579 * * [simplify]: Extracting #5: cost 4 inf + 375 58.579 * * [simplify]: Extracting #6: cost 0 inf + 826 58.580 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 58.580 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.580 * * * * [progress]: [ 123 / 268 ] simplifiying candidate # 58.580 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 58.580 * * [simplify]: iters left: 6 (7 enodes) 58.588 * * [simplify]: iters left: 5 (30 enodes) 58.598 * * [simplify]: iters left: 4 (49 enodes) 58.613 * * [simplify]: iters left: 3 (59 enodes) 58.630 * * [simplify]: iters left: 2 (64 enodes) 58.647 * * [simplify]: Extracting #0: cost 1 inf + 0 58.647 * * [simplify]: Extracting #1: cost 9 inf + 0 58.647 * * [simplify]: Extracting #2: cost 23 inf + 0 58.647 * * [simplify]: Extracting #3: cost 24 inf + 3 58.648 * * [simplify]: Extracting #4: cost 15 inf + 980 58.649 * * [simplify]: Extracting #5: cost 1 inf + 3007 58.650 * * [simplify]: Extracting #6: cost 0 inf + 3169 58.651 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 58.651 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.651 * * * * [progress]: [ 124 / 268 ] simplifiying candidate # 58.651 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.651 * * [simplify]: iters left: 6 (8 enodes) 58.656 * * [simplify]: iters left: 5 (33 enodes) 58.668 * * [simplify]: iters left: 4 (55 enodes) 58.686 * * [simplify]: iters left: 3 (72 enodes) 58.696 * * [simplify]: iters left: 2 (84 enodes) 58.708 * * [simplify]: iters left: 1 (88 enodes) 58.722 * * [simplify]: Extracting #0: cost 1 inf + 0 58.722 * * [simplify]: Extracting #1: cost 11 inf + 0 58.722 * * [simplify]: Extracting #2: cost 30 inf + 0 58.722 * * [simplify]: Extracting #3: cost 33 inf + 84 58.723 * * [simplify]: Extracting #4: cost 12 inf + 2402 58.723 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.724 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.724 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.724 * * * * [progress]: [ 125 / 268 ] simplifiying candidate # 58.725 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 58.725 * * [simplify]: iters left: 6 (7 enodes) 58.727 * * [simplify]: iters left: 5 (30 enodes) 58.732 * * [simplify]: iters left: 4 (52 enodes) 58.741 * * [simplify]: iters left: 3 (70 enodes) 58.751 * * [simplify]: iters left: 2 (81 enodes) 58.762 * * [simplify]: iters left: 1 (84 enodes) 58.773 * * [simplify]: Extracting #0: cost 1 inf + 0 58.773 * * [simplify]: Extracting #1: cost 11 inf + 0 58.774 * * [simplify]: Extracting #2: cost 25 inf + 203 58.774 * * [simplify]: Extracting #3: cost 25 inf + 530 58.775 * * [simplify]: Extracting #4: cost 4 inf + 2936 58.776 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.777 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 58.777 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.777 * * * * [progress]: [ 126 / 268 ] simplifiying candidate # 58.778 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.778 * * [simplify]: iters left: 6 (8 enodes) 58.783 * * [simplify]: iters left: 5 (33 enodes) 58.795 * * [simplify]: iters left: 4 (55 enodes) 58.814 * * [simplify]: iters left: 3 (72 enodes) 58.835 * * [simplify]: iters left: 2 (84 enodes) 58.858 * * [simplify]: iters left: 1 (88 enodes) 58.881 * * [simplify]: Extracting #0: cost 1 inf + 0 58.881 * * [simplify]: Extracting #1: cost 11 inf + 0 58.881 * * [simplify]: Extracting #2: cost 30 inf + 0 58.881 * * [simplify]: Extracting #3: cost 33 inf + 44 58.882 * * [simplify]: Extracting #4: cost 12 inf + 2362 58.883 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.885 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.885 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.885 * * * * [progress]: [ 127 / 268 ] simplifiying candidate # 58.886 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 58.886 * * [simplify]: iters left: 6 (7 enodes) 58.890 * * [simplify]: iters left: 5 (30 enodes) 58.899 * * [simplify]: iters left: 4 (48 enodes) 58.907 * * [simplify]: iters left: 3 (56 enodes) 58.915 * * [simplify]: Extracting #0: cost 1 inf + 0 58.915 * * [simplify]: Extracting #1: cost 8 inf + 0 58.915 * * [simplify]: Extracting #2: cost 15 inf + 43 58.915 * * [simplify]: Extracting #3: cost 16 inf + 86 58.915 * * [simplify]: Extracting #4: cost 5 inf + 911 58.916 * * [simplify]: Extracting #5: cost 1 inf + 1198 58.916 * * [simplify]: Extracting #6: cost 0 inf + 1320 58.916 * [simplify]: Simplified to (/ (- 1 k) 2) 58.916 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.916 * * * * [progress]: [ 128 / 268 ] simplifiying candidate # 58.917 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 58.917 * * [simplify]: iters left: 6 (7 enodes) 58.919 * * [simplify]: iters left: 5 (30 enodes) 58.924 * * [simplify]: iters left: 4 (52 enodes) 58.933 * * [simplify]: iters left: 3 (70 enodes) 58.946 * * [simplify]: iters left: 2 (81 enodes) 58.957 * * [simplify]: iters left: 1 (84 enodes) 58.968 * * [simplify]: Extracting #0: cost 1 inf + 0 58.968 * * [simplify]: Extracting #1: cost 11 inf + 0 58.968 * * [simplify]: Extracting #2: cost 25 inf + 123 58.968 * * [simplify]: Extracting #3: cost 25 inf + 330 58.969 * * [simplify]: Extracting #4: cost 4 inf + 2256 58.969 * * [simplify]: Extracting #5: cost 0 inf + 2704 58.970 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 58.970 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 58.970 * * * * [progress]: [ 129 / 268 ] simplifiying candidate # 58.970 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 58.970 * * [simplify]: iters left: 6 (7 enodes) 58.973 * * [simplify]: iters left: 5 (31 enodes) 58.979 * * [simplify]: iters left: 4 (51 enodes) 58.994 * * [simplify]: iters left: 3 (64 enodes) 59.009 * * [simplify]: iters left: 2 (77 enodes) 59.020 * * [simplify]: iters left: 1 (84 enodes) 59.033 * * [simplify]: Extracting #0: cost 1 inf + 0 59.033 * * [simplify]: Extracting #1: cost 11 inf + 0 59.033 * * [simplify]: Extracting #2: cost 26 inf + 82 59.033 * * [simplify]: Extracting #3: cost 24 inf + 692 59.034 * * [simplify]: Extracting #4: cost 3 inf + 3057 59.035 * * [simplify]: Extracting #5: cost 0 inf + 3504 59.035 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 59.035 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.035 * * * * [progress]: [ 130 / 268 ] simplifiying candidate # 59.036 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 59.036 * * [simplify]: iters left: 6 (7 enodes) 59.039 * * [simplify]: iters left: 5 (31 enodes) 59.044 * * [simplify]: iters left: 4 (51 enodes) 59.059 * * [simplify]: iters left: 3 (64 enodes) 59.073 * * [simplify]: iters left: 2 (77 enodes) 59.084 * * [simplify]: iters left: 1 (84 enodes) 59.095 * * [simplify]: Extracting #0: cost 1 inf + 0 59.095 * * [simplify]: Extracting #1: cost 11 inf + 0 59.095 * * [simplify]: Extracting #2: cost 26 inf + 42 59.095 * * [simplify]: Extracting #3: cost 24 inf + 452 59.095 * * [simplify]: Extracting #4: cost 3 inf + 2337 59.096 * * [simplify]: Extracting #5: cost 0 inf + 2704 59.096 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 59.096 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.097 * * * * [progress]: [ 131 / 268 ] simplifiying candidate # 59.097 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 59.097 * * [simplify]: iters left: 6 (6 enodes) 59.100 * * [simplify]: iters left: 5 (29 enodes) 59.105 * * [simplify]: iters left: 4 (44 enodes) 59.112 * * [simplify]: iters left: 3 (50 enodes) 59.119 * * [simplify]: iters left: 2 (57 enodes) 59.130 * * [simplify]: Extracting #0: cost 1 inf + 0 59.130 * * [simplify]: Extracting #1: cost 9 inf + 0 59.130 * * [simplify]: Extracting #2: cost 15 inf + 3 59.130 * * [simplify]: Extracting #3: cost 11 inf + 131 59.130 * * [simplify]: Extracting #4: cost 2 inf + 711 59.130 * * [simplify]: Extracting #5: cost 0 inf + 836 59.130 * [simplify]: Simplified to (- 1/4 (/ k 4)) 59.130 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.131 * * * * [progress]: [ 132 / 268 ] simplifiying candidate # 59.131 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 59.131 * * [simplify]: iters left: 6 (9 enodes) 59.134 * * [simplify]: iters left: 5 (36 enodes) 59.140 * * [simplify]: iters left: 4 (58 enodes) 59.148 * * [simplify]: iters left: 3 (71 enodes) 59.162 * * [simplify]: iters left: 2 (79 enodes) 59.181 * * [simplify]: iters left: 1 (80 enodes) 59.200 * * [simplify]: Extracting #0: cost 1 inf + 0 59.200 * * [simplify]: Extracting #1: cost 9 inf + 0 59.200 * * [simplify]: Extracting #2: cost 24 inf + 0 59.201 * * [simplify]: Extracting #3: cost 29 inf + 2 59.201 * * [simplify]: Extracting #4: cost 10 inf + 2233 59.202 * * [simplify]: Extracting #5: cost 1 inf + 4013 59.204 * * [simplify]: Extracting #6: cost 0 inf + 4135 59.205 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 59.205 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.205 * * * * [progress]: [ 133 / 268 ] simplifiying candidate # 59.206 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 59.206 * * [simplify]: iters left: 6 (10 enodes) 59.212 * * [simplify]: iters left: 5 (39 enodes) 59.225 * * [simplify]: iters left: 4 (64 enodes) 59.247 * * [simplify]: iters left: 3 (86 enodes) 59.271 * * [simplify]: iters left: 2 (99 enodes) 59.296 * * [simplify]: iters left: 1 (104 enodes) 59.322 * * [simplify]: Extracting #0: cost 1 inf + 0 59.322 * * [simplify]: Extracting #1: cost 11 inf + 0 59.322 * * [simplify]: Extracting #2: cost 31 inf + 0 59.322 * * [simplify]: Extracting #3: cost 39 inf + 2 59.323 * * [simplify]: Extracting #4: cost 22 inf + 1871 59.324 * * [simplify]: Extracting #5: cost 4 inf + 4865 59.326 * * [simplify]: Extracting #6: cost 0 inf + 5675 59.328 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 59.328 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.328 * * * * [progress]: [ 134 / 268 ] simplifiying candidate # 59.329 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 59.329 * * [simplify]: iters left: 6 (9 enodes) 59.334 * * [simplify]: iters left: 5 (36 enodes) 59.346 * * [simplify]: iters left: 4 (61 enodes) 59.365 * * [simplify]: iters left: 3 (84 enodes) 59.377 * * [simplify]: iters left: 2 (96 enodes) 59.393 * * [simplify]: iters left: 1 (100 enodes) 59.406 * * [simplify]: Extracting #0: cost 1 inf + 0 59.406 * * [simplify]: Extracting #1: cost 11 inf + 0 59.406 * * [simplify]: Extracting #2: cost 27 inf + 82 59.406 * * [simplify]: Extracting #3: cost 29 inf + 651 59.407 * * [simplify]: Extracting #4: cost 12 inf + 2763 59.407 * * [simplify]: Extracting #5: cost 1 inf + 4587 59.408 * * [simplify]: Extracting #6: cost 0 inf + 4710 59.409 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 59.409 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.409 * * * * [progress]: [ 135 / 268 ] simplifiying candidate # 59.409 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 59.409 * * [simplify]: iters left: 6 (10 enodes) 59.413 * * [simplify]: iters left: 5 (39 enodes) 59.419 * * [simplify]: iters left: 4 (64 enodes) 59.429 * * [simplify]: iters left: 3 (86 enodes) 59.443 * * [simplify]: iters left: 2 (99 enodes) 59.456 * * [simplify]: iters left: 1 (104 enodes) 59.474 * * [simplify]: Extracting #0: cost 1 inf + 0 59.474 * * [simplify]: Extracting #1: cost 11 inf + 0 59.474 * * [simplify]: Extracting #2: cost 31 inf + 0 59.475 * * [simplify]: Extracting #3: cost 39 inf + 2 59.475 * * [simplify]: Extracting #4: cost 22 inf + 1831 59.477 * * [simplify]: Extracting #5: cost 4 inf + 4785 59.479 * * [simplify]: Extracting #6: cost 0 inf + 5595 59.481 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 59.481 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.481 * * * * [progress]: [ 136 / 268 ] simplifiying candidate # 59.482 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 59.482 * * [simplify]: iters left: 6 (9 enodes) 59.487 * * [simplify]: iters left: 5 (36 enodes) 59.497 * * [simplify]: iters left: 4 (57 enodes) 59.506 * * [simplify]: iters left: 3 (73 enodes) 59.516 * * [simplify]: iters left: 2 (80 enodes) 59.526 * * [simplify]: iters left: 1 (81 enodes) 59.536 * * [simplify]: Extracting #0: cost 1 inf + 0 59.536 * * [simplify]: Extracting #1: cost 9 inf + 0 59.536 * * [simplify]: Extracting #2: cost 18 inf + 43 59.536 * * [simplify]: Extracting #3: cost 23 inf + 85 59.536 * * [simplify]: Extracting #4: cost 9 inf + 1271 59.536 * * [simplify]: Extracting #5: cost 0 inf + 2370 59.537 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 59.537 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.537 * * * * [progress]: [ 137 / 268 ] simplifiying candidate # 59.537 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 59.538 * * [simplify]: iters left: 6 (9 enodes) 59.543 * * [simplify]: iters left: 5 (36 enodes) 59.554 * * [simplify]: iters left: 4 (61 enodes) 59.573 * * [simplify]: iters left: 3 (84 enodes) 59.598 * * [simplify]: iters left: 2 (96 enodes) 59.610 * * [simplify]: iters left: 1 (100 enodes) 59.623 * * [simplify]: Extracting #0: cost 1 inf + 0 59.623 * * [simplify]: Extracting #1: cost 11 inf + 0 59.623 * * [simplify]: Extracting #2: cost 27 inf + 42 59.623 * * [simplify]: Extracting #3: cost 29 inf + 411 59.623 * * [simplify]: Extracting #4: cost 12 inf + 2163 59.624 * * [simplify]: Extracting #5: cost 1 inf + 3707 59.625 * * [simplify]: Extracting #6: cost 0 inf + 3830 59.626 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 59.626 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.626 * * * * [progress]: [ 138 / 268 ] simplifiying candidate # 59.626 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 59.626 * * [simplify]: iters left: 6 (9 enodes) 59.629 * * [simplify]: iters left: 5 (36 enodes) 59.637 * * [simplify]: iters left: 4 (62 enodes) 59.646 * * [simplify]: iters left: 3 (78 enodes) 59.656 * * [simplify]: iters left: 2 (90 enodes) 59.674 * * [simplify]: iters left: 1 (94 enodes) 59.696 * * [simplify]: Extracting #0: cost 1 inf + 0 59.696 * * [simplify]: Extracting #1: cost 11 inf + 0 59.696 * * [simplify]: Extracting #2: cost 27 inf + 1 59.696 * * [simplify]: Extracting #3: cost 29 inf + 409 59.697 * * [simplify]: Extracting #4: cost 12 inf + 2359 59.698 * * [simplify]: Extracting #5: cost 2 inf + 4022 59.700 * * [simplify]: Extracting #6: cost 0 inf + 4466 59.701 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 59.701 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.702 * * * * [progress]: [ 139 / 268 ] simplifiying candidate # 59.702 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 59.702 * * [simplify]: iters left: 6 (9 enodes) 59.707 * * [simplify]: iters left: 5 (36 enodes) 59.719 * * [simplify]: iters left: 4 (62 enodes) 59.728 * * [simplify]: iters left: 3 (78 enodes) 59.739 * * [simplify]: iters left: 2 (90 enodes) 59.752 * * [simplify]: iters left: 1 (94 enodes) 59.775 * * [simplify]: Extracting #0: cost 1 inf + 0 59.775 * * [simplify]: Extracting #1: cost 11 inf + 0 59.775 * * [simplify]: Extracting #2: cost 27 inf + 1 59.775 * * [simplify]: Extracting #3: cost 29 inf + 249 59.776 * * [simplify]: Extracting #4: cost 12 inf + 1879 59.777 * * [simplify]: Extracting #5: cost 2 inf + 3302 59.778 * * [simplify]: Extracting #6: cost 0 inf + 3666 59.779 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 59.779 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.779 * * * * [progress]: [ 140 / 268 ] simplifiying candidate # 59.779 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 59.779 * * [simplify]: iters left: 6 (8 enodes) 59.782 * * [simplify]: iters left: 5 (34 enodes) 59.791 * * [simplify]: iters left: 4 (58 enodes) 59.799 * * [simplify]: iters left: 3 (65 enodes) 59.807 * * [simplify]: Extracting #0: cost 1 inf + 0 59.807 * * [simplify]: Extracting #1: cost 8 inf + 0 59.807 * * [simplify]: Extracting #2: cost 14 inf + 3 59.807 * * [simplify]: Extracting #3: cost 17 inf + 5 59.807 * * [simplify]: Extracting #4: cost 12 inf + 292 59.807 * * [simplify]: Extracting #5: cost 1 inf + 1355 59.808 * * [simplify]: Extracting #6: cost 0 inf + 1478 59.808 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 59.808 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.808 * * * * [progress]: [ 141 / 268 ] simplifiying candidate # 59.808 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 59.809 * * [simplify]: iters left: 6 (8 enodes) 59.811 * * [simplify]: iters left: 5 (33 enodes) 59.817 * * [simplify]: iters left: 4 (52 enodes) 59.825 * * [simplify]: iters left: 3 (62 enodes) 59.834 * * [simplify]: iters left: 2 (67 enodes) 59.843 * * [simplify]: Extracting #0: cost 1 inf + 0 59.843 * * [simplify]: Extracting #1: cost 9 inf + 0 59.843 * * [simplify]: Extracting #2: cost 23 inf + 0 59.843 * * [simplify]: Extracting #3: cost 24 inf + 285 59.844 * * [simplify]: Extracting #4: cost 18 inf + 975 59.844 * * [simplify]: Extracting #5: cost 7 inf + 2516 59.845 * * [simplify]: Extracting #6: cost 0 inf + 3891 59.845 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 59.845 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.845 * * * * [progress]: [ 142 / 268 ] simplifiying candidate # 59.845 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 59.846 * * [simplify]: iters left: 6 (9 enodes) 59.848 * * [simplify]: iters left: 5 (36 enodes) 59.855 * * [simplify]: iters left: 4 (58 enodes) 59.865 * * [simplify]: iters left: 3 (75 enodes) 59.890 * * [simplify]: iters left: 2 (87 enodes) 59.904 * * [simplify]: iters left: 1 (91 enodes) 59.915 * * [simplify]: Extracting #0: cost 1 inf + 0 59.915 * * [simplify]: Extracting #1: cost 11 inf + 0 59.915 * * [simplify]: Extracting #2: cost 30 inf + 0 59.916 * * [simplify]: Extracting #3: cost 36 inf + 83 59.916 * * [simplify]: Extracting #4: cost 30 inf + 451 59.916 * * [simplify]: Extracting #5: cost 10 inf + 3649 59.917 * * [simplify]: Extracting #6: cost 0 inf + 5431 59.918 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 59.918 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.918 * * * * [progress]: [ 143 / 268 ] simplifiying candidate # 59.918 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 59.918 * * [simplify]: iters left: 6 (8 enodes) 59.921 * * [simplify]: iters left: 5 (33 enodes) 59.928 * * [simplify]: iters left: 4 (55 enodes) 59.939 * * [simplify]: iters left: 3 (73 enodes) 59.950 * * [simplify]: iters left: 2 (84 enodes) 59.965 * * [simplify]: iters left: 1 (87 enodes) 59.987 * * [simplify]: Extracting #0: cost 1 inf + 0 59.987 * * [simplify]: Extracting #1: cost 11 inf + 0 59.987 * * [simplify]: Extracting #2: cost 25 inf + 203 59.987 * * [simplify]: Extracting #3: cost 29 inf + 407 59.987 * * [simplify]: Extracting #4: cost 24 inf + 896 59.988 * * [simplify]: Extracting #5: cost 9 inf + 2805 59.990 * * [simplify]: Extracting #6: cost 0 inf + 4466 59.991 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 59.991 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 59.991 * * * * [progress]: [ 144 / 268 ] simplifiying candidate # 59.992 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 59.992 * * [simplify]: iters left: 6 (9 enodes) 59.998 * * [simplify]: iters left: 5 (36 enodes) 60.010 * * [simplify]: iters left: 4 (58 enodes) 60.028 * * [simplify]: iters left: 3 (75 enodes) 60.049 * * [simplify]: iters left: 2 (87 enodes) 60.062 * * [simplify]: iters left: 1 (91 enodes) 60.074 * * [simplify]: Extracting #0: cost 1 inf + 0 60.074 * * [simplify]: Extracting #1: cost 11 inf + 0 60.074 * * [simplify]: Extracting #2: cost 30 inf + 0 60.074 * * [simplify]: Extracting #3: cost 36 inf + 43 60.074 * * [simplify]: Extracting #4: cost 30 inf + 451 60.075 * * [simplify]: Extracting #5: cost 10 inf + 3769 60.076 * * [simplify]: Extracting #6: cost 0 inf + 5431 60.077 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 60.077 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.077 * * * * [progress]: [ 145 / 268 ] simplifiying candidate # 60.077 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 60.077 * * [simplify]: iters left: 6 (8 enodes) 60.080 * * [simplify]: iters left: 5 (33 enodes) 60.090 * * [simplify]: iters left: 4 (51 enodes) 60.099 * * [simplify]: iters left: 3 (59 enodes) 60.114 * * [simplify]: Extracting #0: cost 1 inf + 0 60.114 * * [simplify]: Extracting #1: cost 8 inf + 0 60.114 * * [simplify]: Extracting #2: cost 15 inf + 43 60.115 * * [simplify]: Extracting #3: cost 19 inf + 85 60.115 * * [simplify]: Extracting #4: cost 16 inf + 250 60.115 * * [simplify]: Extracting #5: cost 5 inf + 1311 60.116 * * [simplify]: Extracting #6: cost 0 inf + 1962 60.117 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 60.117 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.117 * * * * [progress]: [ 146 / 268 ] simplifiying candidate # 60.117 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 60.118 * * [simplify]: iters left: 6 (8 enodes) 60.122 * * [simplify]: iters left: 5 (33 enodes) 60.133 * * [simplify]: iters left: 4 (55 enodes) 60.151 * * [simplify]: iters left: 3 (73 enodes) 60.162 * * [simplify]: iters left: 2 (84 enodes) 60.174 * * [simplify]: iters left: 1 (87 enodes) 60.188 * * [simplify]: Extracting #0: cost 1 inf + 0 60.188 * * [simplify]: Extracting #1: cost 11 inf + 0 60.188 * * [simplify]: Extracting #2: cost 25 inf + 123 60.188 * * [simplify]: Extracting #3: cost 29 inf + 247 60.189 * * [simplify]: Extracting #4: cost 24 inf + 576 60.190 * * [simplify]: Extracting #5: cost 9 inf + 2245 60.191 * * [simplify]: Extracting #6: cost 0 inf + 3666 60.193 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 60.193 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.193 * * * * [progress]: [ 147 / 268 ] simplifiying candidate # 60.193 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 60.193 * * [simplify]: iters left: 6 (8 enodes) 60.199 * * [simplify]: iters left: 5 (34 enodes) 60.214 * * [simplify]: iters left: 4 (54 enodes) 60.224 * * [simplify]: iters left: 3 (67 enodes) 60.234 * * [simplify]: iters left: 2 (80 enodes) 60.244 * * [simplify]: iters left: 1 (87 enodes) 60.263 * * [simplify]: Extracting #0: cost 1 inf + 0 60.264 * * [simplify]: Extracting #1: cost 11 inf + 0 60.264 * * [simplify]: Extracting #2: cost 25 inf + 203 60.264 * * [simplify]: Extracting #3: cost 26 inf + 773 60.264 * * [simplify]: Extracting #4: cost 24 inf + 896 60.265 * * [simplify]: Extracting #5: cost 8 inf + 3127 60.267 * * [simplify]: Extracting #6: cost 0 inf + 4466 60.268 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 60.268 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.268 * * * * [progress]: [ 148 / 268 ] simplifiying candidate # 60.269 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 60.269 * * [simplify]: iters left: 6 (8 enodes) 60.274 * * [simplify]: iters left: 5 (34 enodes) 60.287 * * [simplify]: iters left: 4 (54 enodes) 60.303 * * [simplify]: iters left: 3 (67 enodes) 60.322 * * [simplify]: iters left: 2 (80 enodes) 60.348 * * [simplify]: iters left: 1 (87 enodes) 60.369 * * [simplify]: Extracting #0: cost 1 inf + 0 60.369 * * [simplify]: Extracting #1: cost 11 inf + 0 60.369 * * [simplify]: Extracting #2: cost 25 inf + 123 60.369 * * [simplify]: Extracting #3: cost 26 inf + 493 60.369 * * [simplify]: Extracting #4: cost 24 inf + 576 60.369 * * [simplify]: Extracting #5: cost 8 inf + 2527 60.370 * * [simplify]: Extracting #6: cost 0 inf + 3666 60.371 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 60.371 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.371 * * * * [progress]: [ 149 / 268 ] simplifiying candidate # 60.371 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 60.371 * * [simplify]: iters left: 6 (7 enodes) 60.374 * * [simplify]: iters left: 5 (32 enodes) 60.382 * * [simplify]: iters left: 4 (50 enodes) 60.396 * * [simplify]: iters left: 3 (54 enodes) 60.410 * * [simplify]: Extracting #0: cost 1 inf + 0 60.410 * * [simplify]: Extracting #1: cost 8 inf + 0 60.410 * * [simplify]: Extracting #2: cost 13 inf + 3 60.410 * * [simplify]: Extracting #3: cost 15 inf + 5 60.410 * * [simplify]: Extracting #4: cost 14 inf + 6 60.411 * * [simplify]: Extracting #5: cost 4 inf + 825 60.411 * * [simplify]: Extracting #6: cost 0 inf + 1234 60.412 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 60.412 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.412 * * * * [progress]: [ 150 / 268 ] simplifiying candidate # 60.412 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 60.412 * * [simplify]: iters left: 6 (7 enodes) 60.417 * * [simplify]: iters left: 5 (30 enodes) 60.427 * * [simplify]: iters left: 4 (49 enodes) 60.436 * * [simplify]: iters left: 3 (59 enodes) 60.444 * * [simplify]: iters left: 2 (64 enodes) 60.456 * * [simplify]: Extracting #0: cost 1 inf + 0 60.456 * * [simplify]: Extracting #1: cost 9 inf + 0 60.456 * * [simplify]: Extracting #2: cost 23 inf + 0 60.456 * * [simplify]: Extracting #3: cost 24 inf + 3 60.456 * * [simplify]: Extracting #4: cost 15 inf + 980 60.457 * * [simplify]: Extracting #5: cost 1 inf + 3007 60.458 * * [simplify]: Extracting #6: cost 0 inf + 3169 60.459 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 60.459 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.459 * * * * [progress]: [ 151 / 268 ] simplifiying candidate # 60.459 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 60.460 * * [simplify]: iters left: 6 (8 enodes) 60.465 * * [simplify]: iters left: 5 (33 enodes) 60.475 * * [simplify]: iters left: 4 (55 enodes) 60.484 * * [simplify]: iters left: 3 (72 enodes) 60.496 * * [simplify]: iters left: 2 (84 enodes) 60.508 * * [simplify]: iters left: 1 (88 enodes) 60.525 * * [simplify]: Extracting #0: cost 1 inf + 0 60.525 * * [simplify]: Extracting #1: cost 11 inf + 0 60.525 * * [simplify]: Extracting #2: cost 30 inf + 0 60.525 * * [simplify]: Extracting #3: cost 33 inf + 84 60.526 * * [simplify]: Extracting #4: cost 12 inf + 2402 60.528 * * [simplify]: Extracting #5: cost 0 inf + 4469 60.529 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 60.529 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.529 * * * * [progress]: [ 152 / 268 ] simplifiying candidate # 60.530 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 60.530 * * [simplify]: iters left: 6 (7 enodes) 60.534 * * [simplify]: iters left: 5 (30 enodes) 60.545 * * [simplify]: iters left: 4 (52 enodes) 60.553 * * [simplify]: iters left: 3 (70 enodes) 60.566 * * [simplify]: iters left: 2 (81 enodes) 60.577 * * [simplify]: iters left: 1 (84 enodes) 60.597 * * [simplify]: Extracting #0: cost 1 inf + 0 60.598 * * [simplify]: Extracting #1: cost 11 inf + 0 60.598 * * [simplify]: Extracting #2: cost 25 inf + 203 60.598 * * [simplify]: Extracting #3: cost 25 inf + 530 60.599 * * [simplify]: Extracting #4: cost 4 inf + 2936 60.600 * * [simplify]: Extracting #5: cost 0 inf + 3504 60.601 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 60.601 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.602 * * * * [progress]: [ 153 / 268 ] simplifiying candidate # 60.602 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 60.602 * * [simplify]: iters left: 6 (8 enodes) 60.608 * * [simplify]: iters left: 5 (33 enodes) 60.620 * * [simplify]: iters left: 4 (55 enodes) 60.637 * * [simplify]: iters left: 3 (72 enodes) 60.657 * * [simplify]: iters left: 2 (84 enodes) 60.679 * * [simplify]: iters left: 1 (88 enodes) 60.706 * * [simplify]: Extracting #0: cost 1 inf + 0 60.706 * * [simplify]: Extracting #1: cost 11 inf + 0 60.706 * * [simplify]: Extracting #2: cost 30 inf + 0 60.706 * * [simplify]: Extracting #3: cost 33 inf + 44 60.707 * * [simplify]: Extracting #4: cost 12 inf + 2362 60.708 * * [simplify]: Extracting #5: cost 0 inf + 4469 60.710 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 60.710 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.710 * * * * [progress]: [ 154 / 268 ] simplifiying candidate # 60.711 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 60.711 * * [simplify]: iters left: 6 (7 enodes) 60.715 * * [simplify]: iters left: 5 (30 enodes) 60.727 * * [simplify]: iters left: 4 (48 enodes) 60.741 * * [simplify]: iters left: 3 (56 enodes) 60.756 * * [simplify]: Extracting #0: cost 1 inf + 0 60.756 * * [simplify]: Extracting #1: cost 8 inf + 0 60.756 * * [simplify]: Extracting #2: cost 15 inf + 43 60.756 * * [simplify]: Extracting #3: cost 16 inf + 86 60.757 * * [simplify]: Extracting #4: cost 5 inf + 911 60.757 * * [simplify]: Extracting #5: cost 1 inf + 1198 60.758 * * [simplify]: Extracting #6: cost 0 inf + 1320 60.759 * [simplify]: Simplified to (/ (- 1 k) 2) 60.759 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.759 * * * * [progress]: [ 155 / 268 ] simplifiying candidate # 60.759 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 60.759 * * [simplify]: iters left: 6 (7 enodes) 60.764 * * [simplify]: iters left: 5 (30 enodes) 60.775 * * [simplify]: iters left: 4 (52 enodes) 60.791 * * [simplify]: iters left: 3 (70 enodes) 60.804 * * [simplify]: iters left: 2 (81 enodes) 60.816 * * [simplify]: iters left: 1 (84 enodes) 60.829 * * [simplify]: Extracting #0: cost 1 inf + 0 60.829 * * [simplify]: Extracting #1: cost 11 inf + 0 60.829 * * [simplify]: Extracting #2: cost 25 inf + 123 60.829 * * [simplify]: Extracting #3: cost 25 inf + 330 60.830 * * [simplify]: Extracting #4: cost 4 inf + 2256 60.830 * * [simplify]: Extracting #5: cost 0 inf + 2704 60.831 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 60.831 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.831 * * * * [progress]: [ 156 / 268 ] simplifiying candidate # 60.831 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 60.831 * * [simplify]: iters left: 6 (7 enodes) 60.834 * * [simplify]: iters left: 5 (31 enodes) 60.840 * * [simplify]: iters left: 4 (51 enodes) 60.847 * * [simplify]: iters left: 3 (64 enodes) 60.857 * * [simplify]: iters left: 2 (77 enodes) 60.877 * * [simplify]: iters left: 1 (84 enodes) 60.900 * * [simplify]: Extracting #0: cost 1 inf + 0 60.900 * * [simplify]: Extracting #1: cost 11 inf + 0 60.900 * * [simplify]: Extracting #2: cost 26 inf + 82 60.900 * * [simplify]: Extracting #3: cost 24 inf + 692 60.901 * * [simplify]: Extracting #4: cost 3 inf + 3057 60.902 * * [simplify]: Extracting #5: cost 0 inf + 3504 60.903 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 60.903 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 60.904 * * * * [progress]: [ 157 / 268 ] simplifiying candidate # 60.904 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 60.904 * * [simplify]: iters left: 6 (7 enodes) 60.909 * * [simplify]: iters left: 5 (31 enodes) 60.920 * * [simplify]: iters left: 4 (51 enodes) 60.936 * * [simplify]: iters left: 3 (64 enodes) 60.957 * * [simplify]: iters left: 2 (77 enodes) 60.978 * * [simplify]: iters left: 1 (84 enodes) 61.001 * * [simplify]: Extracting #0: cost 1 inf + 0 61.001 * * [simplify]: Extracting #1: cost 11 inf + 0 61.001 * * [simplify]: Extracting #2: cost 26 inf + 42 61.002 * * [simplify]: Extracting #3: cost 24 inf + 452 61.003 * * [simplify]: Extracting #4: cost 3 inf + 2337 61.004 * * [simplify]: Extracting #5: cost 0 inf + 2704 61.005 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 61.005 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.005 * * * * [progress]: [ 158 / 268 ] simplifiying candidate # 61.006 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 61.006 * * [simplify]: iters left: 6 (6 enodes) 61.010 * * [simplify]: iters left: 5 (29 enodes) 61.021 * * [simplify]: iters left: 4 (44 enodes) 61.034 * * [simplify]: iters left: 3 (50 enodes) 61.049 * * [simplify]: iters left: 2 (57 enodes) 61.061 * * [simplify]: Extracting #0: cost 1 inf + 0 61.061 * * [simplify]: Extracting #1: cost 9 inf + 0 61.061 * * [simplify]: Extracting #2: cost 15 inf + 3 61.062 * * [simplify]: Extracting #3: cost 11 inf + 131 61.062 * * [simplify]: Extracting #4: cost 2 inf + 711 61.062 * * [simplify]: Extracting #5: cost 0 inf + 836 61.062 * [simplify]: Simplified to (- 1/4 (/ k 4)) 61.062 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.062 * * * * [progress]: [ 159 / 268 ] simplifiying candidate # 61.063 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 61.063 * * [simplify]: iters left: 6 (7 enodes) 61.065 * * [simplify]: iters left: 5 (31 enodes) 61.071 * * [simplify]: iters left: 4 (51 enodes) 61.080 * * [simplify]: iters left: 3 (64 enodes) 61.095 * * [simplify]: iters left: 2 (77 enodes) 61.116 * * [simplify]: iters left: 1 (84 enodes) 61.137 * * [simplify]: Extracting #0: cost 1 inf + 0 61.138 * * [simplify]: Extracting #1: cost 11 inf + 0 61.138 * * [simplify]: Extracting #2: cost 26 inf + 82 61.138 * * [simplify]: Extracting #3: cost 24 inf + 692 61.139 * * [simplify]: Extracting #4: cost 3 inf + 3057 61.140 * * [simplify]: Extracting #5: cost 0 inf + 3504 61.141 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 61.141 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.142 * * * * [progress]: [ 160 / 268 ] simplifiying candidate # 61.142 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 61.142 * * [simplify]: iters left: 6 (7 enodes) 61.147 * * [simplify]: iters left: 5 (31 enodes) 61.157 * * [simplify]: iters left: 4 (51 enodes) 61.173 * * [simplify]: iters left: 3 (64 enodes) 61.191 * * [simplify]: iters left: 2 (77 enodes) 61.212 * * [simplify]: iters left: 1 (84 enodes) 61.233 * * [simplify]: Extracting #0: cost 1 inf + 0 61.233 * * [simplify]: Extracting #1: cost 11 inf + 0 61.233 * * [simplify]: Extracting #2: cost 26 inf + 42 61.234 * * [simplify]: Extracting #3: cost 24 inf + 452 61.235 * * [simplify]: Extracting #4: cost 3 inf + 2337 61.239 * * [simplify]: Extracting #5: cost 0 inf + 2704 61.240 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 61.240 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.241 * * * * [progress]: [ 161 / 268 ] simplifiying candidate # 61.241 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 61.241 * * [simplify]: iters left: 6 (6 enodes) 61.246 * * [simplify]: iters left: 5 (29 enodes) 61.256 * * [simplify]: iters left: 4 (44 enodes) 61.263 * * [simplify]: iters left: 3 (50 enodes) 61.271 * * [simplify]: iters left: 2 (57 enodes) 61.279 * * [simplify]: Extracting #0: cost 1 inf + 0 61.279 * * [simplify]: Extracting #1: cost 9 inf + 0 61.279 * * [simplify]: Extracting #2: cost 15 inf + 3 61.279 * * [simplify]: Extracting #3: cost 11 inf + 131 61.280 * * [simplify]: Extracting #4: cost 2 inf + 711 61.280 * * [simplify]: Extracting #5: cost 0 inf + 836 61.280 * [simplify]: Simplified to (- 1/4 (/ k 4)) 61.280 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.280 * * * * [progress]: [ 162 / 268 ] simplifiying candidate # 61.281 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 61.281 * * [simplify]: iters left: 4 (5 enodes) 61.284 * * [simplify]: iters left: 3 (20 enodes) 61.289 * * [simplify]: iters left: 2 (27 enodes) 61.299 * * [simplify]: iters left: 1 (29 enodes) 61.308 * * [simplify]: Extracting #0: cost 1 inf + 0 61.308 * * [simplify]: Extracting #1: cost 8 inf + 0 61.308 * * [simplify]: Extracting #2: cost 4 inf + 449 61.308 * * [simplify]: Extracting #3: cost 0 inf + 895 61.309 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 61.309 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.309 * * * * [progress]: [ 163 / 268 ] simplifiying candidate # 61.309 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 61.309 * * [simplify]: iters left: 4 (5 enodes) 61.313 * * [simplify]: iters left: 3 (20 enodes) 61.317 * * [simplify]: iters left: 2 (27 enodes) 61.322 * * [simplify]: iters left: 1 (29 enodes) 61.326 * * [simplify]: Extracting #0: cost 1 inf + 0 61.326 * * [simplify]: Extracting #1: cost 8 inf + 0 61.326 * * [simplify]: Extracting #2: cost 4 inf + 289 61.327 * * [simplify]: Extracting #3: cost 0 inf + 575 61.327 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 61.327 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.327 * * * * [progress]: [ 164 / 268 ] simplifiying candidate # 61.327 * [simplify]: Simplifying (/ (/ 1 2) 2) 61.327 * * [simplify]: iters left: 4 (4 enodes) 61.330 * * [simplify]: iters left: 3 (19 enodes) 61.333 * * [simplify]: iters left: 2 (23 enodes) 61.337 * * [simplify]: Extracting #0: cost 1 inf + 0 61.337 * * [simplify]: Extracting #1: cost 0 inf + 1 61.337 * [simplify]: Simplified to 1/4 61.337 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.337 * * * * [progress]: [ 165 / 268 ] simplifiying candidate # 61.337 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 61.337 * * [simplify]: iters left: 6 (6 enodes) 61.339 * * [simplify]: iters left: 5 (29 enodes) 61.347 * * [simplify]: iters left: 4 (44 enodes) 61.358 * * [simplify]: iters left: 3 (50 enodes) 61.373 * * [simplify]: iters left: 2 (57 enodes) 61.389 * * [simplify]: Extracting #0: cost 1 inf + 0 61.389 * * [simplify]: Extracting #1: cost 9 inf + 0 61.389 * * [simplify]: Extracting #2: cost 15 inf + 3 61.389 * * [simplify]: Extracting #3: cost 11 inf + 131 61.390 * * [simplify]: Extracting #4: cost 2 inf + 711 61.390 * * [simplify]: Extracting #5: cost 0 inf + 836 61.391 * [simplify]: Simplified to (- 1/4 (/ k 4)) 61.391 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.391 * * * * [progress]: [ 166 / 268 ] simplifiying candidate # 61.392 * [simplify]: Simplifying (/ 1 2) 61.392 * * [simplify]: iters left: 2 (3 enodes) 61.395 * * [simplify]: iters left: 1 (12 enodes) 61.399 * * [simplify]: Extracting #0: cost 1 inf + 0 61.399 * * [simplify]: Extracting #1: cost 0 inf + 1 61.399 * [simplify]: Simplified to 1/2 61.399 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.399 * * * * [progress]: [ 167 / 268 ] simplifiying candidate # 61.400 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 61.400 * * [simplify]: iters left: 6 (8 enodes) 61.403 * * [simplify]: iters left: 5 (38 enodes) 61.410 * * [simplify]: iters left: 4 (66 enodes) 61.422 * * [simplify]: iters left: 3 (110 enodes) 61.452 * * [simplify]: iters left: 2 (200 enodes) 61.503 * * [simplify]: iters left: 1 (403 enodes) 61.677 * * [simplify]: Extracting #0: cost 1 inf + 0 61.677 * * [simplify]: Extracting #1: cost 26 inf + 0 61.678 * * [simplify]: Extracting #2: cost 100 inf + 2 61.679 * * [simplify]: Extracting #3: cost 164 inf + 10 61.681 * * [simplify]: Extracting #4: cost 157 inf + 1472 61.689 * * [simplify]: Extracting #5: cost 64 inf + 19273 61.702 * * [simplify]: Extracting #6: cost 8 inf + 47461 61.716 * * [simplify]: Extracting #7: cost 0 inf + 52807 61.731 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 61.731 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.731 * * * * [progress]: [ 168 / 268 ] simplifiying candidate # 61.731 * * * * [progress]: [ 169 / 268 ] simplifiying candidate # 61.731 * * * * [progress]: [ 170 / 268 ] simplifiying candidate # 61.732 * * * * [progress]: [ 171 / 268 ] simplifiying candidate # 61.732 * * * * [progress]: [ 172 / 268 ] simplifiying candidate # 61.732 * * * * [progress]: [ 173 / 268 ] simplifiying candidate # 61.732 * * * * [progress]: [ 174 / 268 ] simplifiying candidate # 61.732 * * * * [progress]: [ 175 / 268 ] simplifiying candidate # 61.732 * * * * [progress]: [ 176 / 268 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> 61.732 * * * * [progress]: [ 177 / 268 ] simplifiying candidate # 61.732 * [simplify]: Simplifying (* n (* 2 PI)) 61.732 * * [simplify]: iters left: 4 (5 enodes) 61.735 * * [simplify]: iters left: 3 (19 enodes) 61.740 * * [simplify]: iters left: 2 (27 enodes) 61.748 * * [simplify]: iters left: 1 (32 enodes) 61.755 * * [simplify]: Extracting #0: cost 1 inf + 0 61.755 * * [simplify]: Extracting #1: cost 8 inf + 0 61.755 * * [simplify]: Extracting #2: cost 7 inf + 45 61.756 * * [simplify]: Extracting #3: cost 0 inf + 421 61.756 * [simplify]: Simplified to (* (* PI 2) n) 61.756 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 61.756 * [simplify]: Simplifying (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) 61.756 * * [simplify]: iters left: 6 (7 enodes) 61.761 * * [simplify]: iters left: 5 (32 enodes) 61.771 * * [simplify]: iters left: 4 (47 enodes) 61.788 * * [simplify]: iters left: 3 (57 enodes) 61.804 * * [simplify]: iters left: 2 (80 enodes) 61.826 * * [simplify]: iters left: 1 (119 enodes) 61.858 * * [simplify]: Extracting #0: cost 1 inf + 0 61.858 * * [simplify]: Extracting #1: cost 12 inf + 0 61.858 * * [simplify]: Extracting #2: cost 33 inf + 2 61.858 * * [simplify]: Extracting #3: cost 38 inf + 6 61.859 * * [simplify]: Extracting #4: cost 22 inf + 1038 61.860 * * [simplify]: Extracting #5: cost 0 inf + 3215 61.862 * [simplify]: Simplified to (- (- 1/2 (/ k 4)) (/ k 4)) 61.862 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (- (- 1/2 (/ k 4)) (/ k 4))) (sqrt k))) 61.862 * * * * [progress]: [ 178 / 268 ] simplifiying candidate # 61.862 * [simplify]: Simplifying (* (* n (* 2 PI)) (* n (* 2 PI))) 61.863 * * [simplify]: iters left: 6 (6 enodes) 61.866 * * [simplify]: iters left: 5 (29 enodes) 61.877 * * [simplify]: iters left: 4 (85 enodes) 61.906 * * [simplify]: iters left: 3 (202 enodes) 61.983 * * [simplify]: iters left: 2 (295 enodes) 62.041 * * [simplify]: iters left: 1 (312 enodes) 62.140 * * [simplify]: Extracting #0: cost 1 inf + 0 62.140 * * [simplify]: Extracting #1: cost 27 inf + 0 62.140 * * [simplify]: Extracting #2: cost 42 inf + 87 62.142 * * [simplify]: Extracting #3: cost 5 inf + 3172 62.145 * * [simplify]: Extracting #4: cost 0 inf + 3544 62.149 * [simplify]: Simplified to (* 4 (* (* n PI) (* n PI))) 62.149 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* 4 (* (* n PI) (* n PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))) 62.149 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 62.149 * * [simplify]: iters left: 6 (6 enodes) 62.154 * * [simplify]: iters left: 5 (29 enodes) 62.167 * * [simplify]: iters left: 4 (44 enodes) 62.174 * * [simplify]: iters left: 3 (50 enodes) 62.181 * * [simplify]: iters left: 2 (57 enodes) 62.190 * * [simplify]: Extracting #0: cost 1 inf + 0 62.190 * * [simplify]: Extracting #1: cost 9 inf + 0 62.190 * * [simplify]: Extracting #2: cost 15 inf + 3 62.190 * * [simplify]: Extracting #3: cost 11 inf + 131 62.190 * * [simplify]: Extracting #4: cost 2 inf + 711 62.190 * * [simplify]: Extracting #5: cost 0 inf + 836 62.191 * [simplify]: Simplified to (- 1/4 (/ k 4)) 62.191 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* n (* 2 PI)) (* n (* 2 PI))) (- 1/4 (/ k 4))) (sqrt k))) 62.191 * * * * [progress]: [ 179 / 268 ] simplifiying candidate # 62.191 * * * * [progress]: [ 180 / 268 ] simplifiying candidate # 62.191 * * * * [progress]: [ 181 / 268 ] simplifiying candidate # 62.191 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 62.191 * * [simplify]: iters left: 6 (15 enodes) 62.196 * * [simplify]: iters left: 5 (67 enodes) 62.219 * * [simplify]: iters left: 4 (137 enodes) 62.274 * * [simplify]: iters left: 3 (494 enodes) 62.547 * * [simplify]: Extracting #0: cost 1 inf + 0 62.547 * * [simplify]: Extracting #1: cost 72 inf + 0 62.548 * * [simplify]: Extracting #2: cost 308 inf + 2 62.550 * * [simplify]: Extracting #3: cost 434 inf + 933 62.560 * * [simplify]: Extracting #4: cost 225 inf + 60173 62.618 * * [simplify]: Extracting #5: cost 14 inf + 131394 62.647 * * [simplify]: Extracting #6: cost 0 inf + 136697 62.695 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log n) (+ (log 2) (log PI)))) 62.695 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log n) (+ (log 2) (log PI))))) (sqrt k))) 62.695 * * * * [progress]: [ 182 / 268 ] simplifiying candidate # 62.696 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 62.696 * * [simplify]: iters left: 6 (19 enodes) 62.702 * * [simplify]: iters left: 5 (77 enodes) 62.719 * * [simplify]: iters left: 4 (146 enodes) 62.752 * * [simplify]: iters left: 3 (476 enodes) 62.980 * * [simplify]: Extracting #0: cost 1 inf + 0 62.981 * * [simplify]: Extracting #1: cost 62 inf + 0 62.982 * * [simplify]: Extracting #2: cost 300 inf + 2 62.986 * * [simplify]: Extracting #3: cost 441 inf + 975 63.001 * * [simplify]: Extracting #4: cost 280 inf + 41539 63.055 * * [simplify]: Extracting #5: cost 13 inf + 126802 63.112 * * [simplify]: Extracting #6: cost 0 inf + 131395 63.167 * * [simplify]: Extracting #7: cost 0 inf + 131355 63.222 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log (* PI 2)) (log n))) 63.222 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log (* PI 2)) (log n)))) (sqrt k))) 63.223 * * * * [progress]: [ 183 / 268 ] simplifiying candidate # 63.223 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 63.223 * * [simplify]: iters left: 6 (19 enodes) 63.230 * * [simplify]: iters left: 5 (87 enodes) 63.246 * * [simplify]: iters left: 4 (167 enodes) 63.301 * * [simplify]: iters left: 3 (466 enodes) 63.553 * * [simplify]: Extracting #0: cost 1 inf + 0 63.553 * * [simplify]: Extracting #1: cost 50 inf + 0 63.554 * * [simplify]: Extracting #2: cost 247 inf + 2 63.558 * * [simplify]: Extracting #3: cost 350 inf + 1422 63.566 * * [simplify]: Extracting #4: cost 259 inf + 24475 63.601 * * [simplify]: Extracting #5: cost 24 inf + 91266 63.642 * * [simplify]: Extracting #6: cost 0 inf + 91146 63.688 * * [simplify]: Extracting #7: cost 0 inf + 89826 63.727 * * [simplify]: Extracting #8: cost 0 inf + 89786 63.765 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 63.765 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 63.766 * * * * [progress]: [ 184 / 268 ] simplifiying candidate # 63.766 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 63.767 * * [simplify]: iters left: 6 (19 enodes) 63.778 * * [simplify]: iters left: 5 (87 enodes) 63.811 * * [simplify]: iters left: 4 (167 enodes) 63.878 * * [simplify]: iters left: 3 (466 enodes) 64.095 * * [simplify]: Extracting #0: cost 1 inf + 0 64.096 * * [simplify]: Extracting #1: cost 50 inf + 0 64.104 * * [simplify]: Extracting #2: cost 247 inf + 2 64.107 * * [simplify]: Extracting #3: cost 350 inf + 1422 64.116 * * [simplify]: Extracting #4: cost 259 inf + 24475 64.150 * * [simplify]: Extracting #5: cost 24 inf + 91266 64.178 * * [simplify]: Extracting #6: cost 0 inf + 91146 64.199 * * [simplify]: Extracting #7: cost 0 inf + 89826 64.239 * * [simplify]: Extracting #8: cost 0 inf + 89786 64.277 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 64.277 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 64.278 * * * * [progress]: [ 185 / 268 ] simplifiying candidate # 64.278 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 64.278 * * [simplify]: iters left: 6 (19 enodes) 64.291 * * [simplify]: iters left: 5 (85 enodes) 64.322 * * [simplify]: iters left: 4 (172 enodes) 64.398 * * [simplify]: iters left: 3 (440 enodes) 64.642 * * [simplify]: Extracting #0: cost 1 inf + 0 64.643 * * [simplify]: Extracting #1: cost 67 inf + 0 64.644 * * [simplify]: Extracting #2: cost 304 inf + 2 64.647 * * [simplify]: Extracting #3: cost 402 inf + 498 64.660 * * [simplify]: Extracting #4: cost 238 inf + 46507 64.698 * * [simplify]: Extracting #5: cost 20 inf + 108131 64.724 * * [simplify]: Extracting #6: cost 2 inf + 102801 64.745 * * [simplify]: Extracting #7: cost 0 inf + 102737 64.782 * * [simplify]: Extracting #8: cost 0 inf + 102697 64.823 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) 64.823 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))))) (sqrt k))) 64.823 * * * * [progress]: [ 186 / 268 ] simplifiying candidate # 64.824 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 64.824 * * [simplify]: iters left: 6 (19 enodes) 64.835 * * [simplify]: iters left: 5 (74 enodes) 64.851 * * [simplify]: iters left: 4 (145 enodes) 64.885 * * [simplify]: iters left: 3 (475 enodes) 65.145 * * [simplify]: Extracting #0: cost 1 inf + 0 65.145 * * [simplify]: Extracting #1: cost 61 inf + 0 65.147 * * [simplify]: Extracting #2: cost 289 inf + 2 65.150 * * [simplify]: Extracting #3: cost 427 inf + 891 65.163 * * [simplify]: Extracting #4: cost 240 inf + 45998 65.194 * * [simplify]: Extracting #5: cost 11 inf + 120531 65.246 * * [simplify]: Extracting #6: cost 0 inf + 123361 65.300 * * [simplify]: Extracting #7: cost 0 inf + 123321 65.344 * [simplify]: Simplified to (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 65.344 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 65.344 * * * * [progress]: [ 187 / 268 ] simplifiying candidate # 65.344 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 65.344 * * [simplify]: iters left: 6 (14 enodes) 65.349 * * [simplify]: iters left: 5 (65 enodes) 65.367 * * [simplify]: iters left: 4 (126 enodes) 65.413 * * [simplify]: iters left: 3 (381 enodes) 65.629 * * [simplify]: Extracting #0: cost 1 inf + 0 65.629 * * [simplify]: Extracting #1: cost 65 inf + 0 65.631 * * [simplify]: Extracting #2: cost 255 inf + 2 65.634 * * [simplify]: Extracting #3: cost 351 inf + 1240 65.650 * * [simplify]: Extracting #4: cost 159 inf + 50304 65.690 * * [simplify]: Extracting #5: cost 10 inf + 97362 65.725 * * [simplify]: Extracting #6: cost 0 inf + 100395 65.749 * [simplify]: Simplified to (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 65.750 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 65.750 * * * * [progress]: [ 188 / 268 ] simplifiying candidate # 65.750 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 65.750 * * [simplify]: iters left: 6 (17 enodes) 65.756 * * [simplify]: iters left: 5 (72 enodes) 65.781 * * [simplify]: iters left: 4 (142 enodes) 65.809 * * [simplify]: iters left: 3 (392 enodes) 66.015 * * [simplify]: Extracting #0: cost 1 inf + 0 66.015 * * [simplify]: Extracting #1: cost 61 inf + 0 66.016 * * [simplify]: Extracting #2: cost 281 inf + 2 66.017 * * [simplify]: Extracting #3: cost 409 inf + 1596 66.028 * * [simplify]: Extracting #4: cost 229 inf + 43729 66.057 * * [simplify]: Extracting #5: cost 6 inf + 110012 66.102 * * [simplify]: Extracting #6: cost 0 inf + 107759 66.148 * * [simplify]: Extracting #7: cost 0 inf + 107479 66.191 * [simplify]: Simplified to (+ (* (log (* (* 2 PI) n)) (/ (- 1 k) 4)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 4))) 66.191 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 PI) n)) (/ (- 1 k) 4)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 4)))) (sqrt k))) 66.191 * * * * [progress]: [ 189 / 268 ] simplifiying candidate # 66.192 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 66.192 * * [simplify]: iters left: 6 (17 enodes) 66.197 * * [simplify]: iters left: 5 (72 enodes) 66.210 * * [simplify]: iters left: 4 (142 enodes) 66.246 * * [simplify]: iters left: 3 (392 enodes) 66.475 * * [simplify]: Extracting #0: cost 1 inf + 0 66.476 * * [simplify]: Extracting #1: cost 61 inf + 0 66.477 * * [simplify]: Extracting #2: cost 281 inf + 2 66.486 * * [simplify]: Extracting #3: cost 409 inf + 1596 66.500 * * [simplify]: Extracting #4: cost 229 inf + 43729 66.521 * * [simplify]: Extracting #5: cost 6 inf + 110012 66.553 * * [simplify]: Extracting #6: cost 0 inf + 107759 66.597 * * [simplify]: Extracting #7: cost 0 inf + 107479 66.643 * [simplify]: Simplified to (+ (* (log (* (* 2 PI) n)) (/ (- 1 k) 4)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 4))) 66.643 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 PI) n)) (/ (- 1 k) 4)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 4)))) (sqrt k))) 66.643 * * * * [progress]: [ 190 / 268 ] simplifiying candidate # 66.643 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 66.644 * * [simplify]: iters left: 6 (17 enodes) 66.653 * * [simplify]: iters left: 5 (79 enodes) 66.680 * * [simplify]: iters left: 4 (147 enodes) 66.710 * * [simplify]: iters left: 3 (336 enodes) 66.870 * * [simplify]: Extracting #0: cost 1 inf + 0 66.870 * * [simplify]: Extracting #1: cost 35 inf + 0 66.871 * * [simplify]: Extracting #2: cost 214 inf + 2 66.873 * * [simplify]: Extracting #3: cost 289 inf + 301 66.877 * * [simplify]: Extracting #4: cost 253 inf + 12142 66.894 * * [simplify]: Extracting #5: cost 74 inf + 51078 66.909 * * [simplify]: Extracting #6: cost 1 inf + 71349 66.922 * * [simplify]: Extracting #7: cost 0 inf + 71595 66.947 * [simplify]: Simplified to (* (log (* (* 2 PI) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 66.947 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* 2 PI) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 66.947 * * * * [progress]: [ 191 / 268 ] simplifiying candidate # 66.947 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 66.947 * * [simplify]: iters left: 6 (19 enodes) 66.963 * * [simplify]: iters left: 5 (87 enodes) 66.992 * * [simplify]: iters left: 4 (167 enodes) 67.030 * * [simplify]: iters left: 3 (461 enodes) 67.267 * * [simplify]: Extracting #0: cost 1 inf + 0 67.267 * * [simplify]: Extracting #1: cost 47 inf + 0 67.268 * * [simplify]: Extracting #2: cost 206 inf + 2 67.271 * * [simplify]: Extracting #3: cost 313 inf + 936 67.276 * * [simplify]: Extracting #4: cost 263 inf + 10334 67.300 * * [simplify]: Extracting #5: cost 68 inf + 61763 67.334 * * [simplify]: Extracting #6: cost 0 inf + 83622 67.359 * * [simplify]: Extracting #7: cost 0 inf + 82492 67.397 * * [simplify]: Extracting #8: cost 0 inf + 82062 67.416 * * [simplify]: Extracting #9: cost 0 inf + 81942 67.437 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 67.437 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 67.437 * * * * [progress]: [ 192 / 268 ] simplifiying candidate # 67.438 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 67.438 * * [simplify]: iters left: 6 (17 enodes) 67.449 * * [simplify]: iters left: 5 (75 enodes) 67.475 * * [simplify]: iters left: 4 (158 enodes) 67.539 * * [simplify]: iters left: 3 (404 enodes) 67.782 * * [simplify]: Extracting #0: cost 1 inf + 0 67.782 * * [simplify]: Extracting #1: cost 62 inf + 0 67.783 * * [simplify]: Extracting #2: cost 230 inf + 2 67.784 * * [simplify]: Extracting #3: cost 349 inf + 1321 67.789 * * [simplify]: Extracting #4: cost 241 inf + 25424 67.809 * * [simplify]: Extracting #5: cost 18 inf + 86712 67.842 * * [simplify]: Extracting #6: cost 0 inf + 92014 67.880 * * [simplify]: Extracting #7: cost 0 inf + 91804 67.919 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 67.919 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 67.919 * * * * [progress]: [ 193 / 268 ] simplifiying candidate # 67.920 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 67.920 * * [simplify]: iters left: 6 (13 enodes) 67.928 * * [simplify]: iters left: 5 (64 enodes) 67.954 * * [simplify]: iters left: 4 (132 enodes) 67.982 * * [simplify]: iters left: 3 (328 enodes) 68.129 * * [simplify]: Extracting #0: cost 1 inf + 0 68.129 * * [simplify]: Extracting #1: cost 48 inf + 0 68.130 * * [simplify]: Extracting #2: cost 167 inf + 2 68.132 * * [simplify]: Extracting #3: cost 254 inf + 314 68.137 * * [simplify]: Extracting #4: cost 194 inf + 11680 68.161 * * [simplify]: Extracting #5: cost 28 inf + 54491 68.189 * * [simplify]: Extracting #6: cost 0 inf + 61471 68.217 * * [simplify]: Extracting #7: cost 0 inf + 61361 68.245 * [simplify]: Simplified to (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4))) 68.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4)))) (sqrt k))) 68.246 * * * * [progress]: [ 194 / 268 ] simplifiying candidate # 68.246 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 68.246 * * [simplify]: iters left: 6 (13 enodes) 68.254 * * [simplify]: iters left: 5 (64 enodes) 68.266 * * [simplify]: iters left: 4 (132 enodes) 68.298 * * [simplify]: iters left: 3 (328 enodes) 68.405 * * [simplify]: Extracting #0: cost 1 inf + 0 68.405 * * [simplify]: Extracting #1: cost 48 inf + 0 68.406 * * [simplify]: Extracting #2: cost 167 inf + 2 68.407 * * [simplify]: Extracting #3: cost 254 inf + 314 68.409 * * [simplify]: Extracting #4: cost 194 inf + 11680 68.419 * * [simplify]: Extracting #5: cost 28 inf + 54491 68.440 * * [simplify]: Extracting #6: cost 0 inf + 61471 68.473 * * [simplify]: Extracting #7: cost 0 inf + 61361 68.500 * [simplify]: Simplified to (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4))) 68.500 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4)))) (sqrt k))) 68.500 * * * * [progress]: [ 195 / 268 ] simplifiying candidate # 68.500 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 68.500 * * [simplify]: iters left: 6 (15 enodes) 68.509 * * [simplify]: iters left: 5 (70 enodes) 68.534 * * [simplify]: iters left: 4 (140 enodes) 68.586 * * [simplify]: iters left: 3 (328 enodes) 68.730 * * [simplify]: Extracting #0: cost 1 inf + 0 68.731 * * [simplify]: Extracting #1: cost 56 inf + 0 68.732 * * [simplify]: Extracting #2: cost 217 inf + 2 68.734 * * [simplify]: Extracting #3: cost 289 inf + 1568 68.742 * * [simplify]: Extracting #4: cost 183 inf + 25837 68.754 * * [simplify]: Extracting #5: cost 26 inf + 67231 68.769 * * [simplify]: Extracting #6: cost 1 inf + 76182 68.785 * * [simplify]: Extracting #7: cost 0 inf + 76107 68.806 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n)))) 68.806 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))) (sqrt k))) 68.807 * * * * [progress]: [ 196 / 268 ] simplifiying candidate # 68.807 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 68.807 * * [simplify]: iters left: 6 (19 enodes) 68.813 * * [simplify]: iters left: 5 (87 enodes) 68.828 * * [simplify]: iters left: 4 (167 enodes) 68.874 * * [simplify]: iters left: 3 (461 enodes) 69.108 * * [simplify]: Extracting #0: cost 1 inf + 0 69.108 * * [simplify]: Extracting #1: cost 47 inf + 0 69.109 * * [simplify]: Extracting #2: cost 206 inf + 2 69.112 * * [simplify]: Extracting #3: cost 313 inf + 936 69.117 * * [simplify]: Extracting #4: cost 263 inf + 10334 69.140 * * [simplify]: Extracting #5: cost 68 inf + 61763 69.176 * * [simplify]: Extracting #6: cost 0 inf + 83622 69.196 * * [simplify]: Extracting #7: cost 0 inf + 82492 69.221 * * [simplify]: Extracting #8: cost 0 inf + 82062 69.252 * * [simplify]: Extracting #9: cost 0 inf + 81942 69.272 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 69.272 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 69.272 * * * * [progress]: [ 197 / 268 ] simplifiying candidate # 69.272 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 69.272 * * [simplify]: iters left: 6 (17 enodes) 69.282 * * [simplify]: iters left: 5 (75 enodes) 69.309 * * [simplify]: iters left: 4 (158 enodes) 69.353 * * [simplify]: iters left: 3 (404 enodes) 69.521 * * [simplify]: Extracting #0: cost 1 inf + 0 69.521 * * [simplify]: Extracting #1: cost 62 inf + 0 69.522 * * [simplify]: Extracting #2: cost 230 inf + 2 69.524 * * [simplify]: Extracting #3: cost 349 inf + 1321 69.528 * * [simplify]: Extracting #4: cost 241 inf + 25424 69.547 * * [simplify]: Extracting #5: cost 18 inf + 86712 69.568 * * [simplify]: Extracting #6: cost 0 inf + 92014 69.606 * * [simplify]: Extracting #7: cost 0 inf + 91804 69.641 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 69.641 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 69.641 * * * * [progress]: [ 198 / 268 ] simplifiying candidate # 69.641 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 69.641 * * [simplify]: iters left: 6 (13 enodes) 69.645 * * [simplify]: iters left: 5 (64 enodes) 69.659 * * [simplify]: iters left: 4 (132 enodes) 69.700 * * [simplify]: iters left: 3 (328 enodes) 69.823 * * [simplify]: Extracting #0: cost 1 inf + 0 69.823 * * [simplify]: Extracting #1: cost 48 inf + 0 69.824 * * [simplify]: Extracting #2: cost 167 inf + 2 69.825 * * [simplify]: Extracting #3: cost 254 inf + 314 69.830 * * [simplify]: Extracting #4: cost 194 inf + 11680 70.262 * * [simplify]: Extracting #5: cost 28 inf + 54491 70.277 * * [simplify]: Extracting #6: cost 0 inf + 61471 70.305 * * [simplify]: Extracting #7: cost 0 inf + 61361 70.332 * [simplify]: Simplified to (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4))) 70.332 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4)))) (sqrt k))) 70.333 * * * * [progress]: [ 199 / 268 ] simplifiying candidate # 70.333 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 70.333 * * [simplify]: iters left: 6 (13 enodes) 70.341 * * [simplify]: iters left: 5 (64 enodes) 70.364 * * [simplify]: iters left: 4 (132 enodes) 70.417 * * [simplify]: iters left: 3 (328 enodes) 70.565 * * [simplify]: Extracting #0: cost 1 inf + 0 70.565 * * [simplify]: Extracting #1: cost 48 inf + 0 70.566 * * [simplify]: Extracting #2: cost 167 inf + 2 70.568 * * [simplify]: Extracting #3: cost 254 inf + 314 70.573 * * [simplify]: Extracting #4: cost 194 inf + 11680 70.583 * * [simplify]: Extracting #5: cost 28 inf + 54491 70.599 * * [simplify]: Extracting #6: cost 0 inf + 61471 70.621 * * [simplify]: Extracting #7: cost 0 inf + 61361 70.638 * [simplify]: Simplified to (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4))) 70.638 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) (* (log (* (* PI 2) n)) (/ (- 1 k) 4)))) (sqrt k))) 70.639 * * * * [progress]: [ 200 / 268 ] simplifiying candidate # 70.639 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 70.639 * * [simplify]: iters left: 6 (15 enodes) 70.643 * * [simplify]: iters left: 5 (70 enodes) 70.661 * * [simplify]: iters left: 4 (140 enodes) 70.693 * * [simplify]: iters left: 3 (328 enodes) 70.797 * * [simplify]: Extracting #0: cost 1 inf + 0 70.797 * * [simplify]: Extracting #1: cost 56 inf + 0 70.798 * * [simplify]: Extracting #2: cost 217 inf + 2 70.801 * * [simplify]: Extracting #3: cost 289 inf + 1568 70.809 * * [simplify]: Extracting #4: cost 183 inf + 25837 70.833 * * [simplify]: Extracting #5: cost 26 inf + 67231 70.850 * * [simplify]: Extracting #6: cost 1 inf + 76182 70.866 * * [simplify]: Extracting #7: cost 0 inf + 76107 70.898 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n)))) 70.899 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))) (sqrt k))) 70.899 * * * * [progress]: [ 201 / 268 ] simplifiying candidate # 70.899 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 70.899 * * [simplify]: iters left: 6 (19 enodes) 70.910 * * [simplify]: iters left: 5 (85 enodes) 70.931 * * [simplify]: iters left: 4 (172 enodes) 70.974 * * [simplify]: iters left: 3 (441 enodes) 71.167 * * [simplify]: Extracting #0: cost 1 inf + 0 71.167 * * [simplify]: Extracting #1: cost 66 inf + 0 71.168 * * [simplify]: Extracting #2: cost 311 inf + 2 71.170 * * [simplify]: Extracting #3: cost 397 inf + 1893 71.177 * * [simplify]: Extracting #4: cost 195 inf + 48438 71.202 * * [simplify]: Extracting #5: cost 22 inf + 96041 71.242 * * [simplify]: Extracting #6: cost 4 inf + 101939 71.288 * * [simplify]: Extracting #7: cost 0 inf + 103850 71.329 * * [simplify]: Extracting #8: cost 0 inf + 103810 71.370 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 71.370 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 71.370 * * * * [progress]: [ 202 / 268 ] simplifiying candidate # 71.370 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 71.371 * * [simplify]: iters left: 6 (17 enodes) 71.377 * * [simplify]: iters left: 5 (79 enodes) 71.391 * * [simplify]: iters left: 4 (147 enodes) 71.424 * * [simplify]: iters left: 3 (336 enodes) 71.563 * * [simplify]: Extracting #0: cost 1 inf + 0 71.563 * * [simplify]: Extracting #1: cost 35 inf + 0 71.564 * * [simplify]: Extracting #2: cost 214 inf + 2 71.565 * * [simplify]: Extracting #3: cost 291 inf + 189 71.567 * * [simplify]: Extracting #4: cost 262 inf + 9292 71.578 * * [simplify]: Extracting #5: cost 66 inf + 53761 71.604 * * [simplify]: Extracting #6: cost 3 inf + 70310 71.632 * * [simplify]: Extracting #7: cost 0 inf + 71877 71.646 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n)))) 71.646 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))) (sqrt k))) 71.646 * * * * [progress]: [ 203 / 268 ] simplifiying candidate # 71.646 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 71.646 * * [simplify]: iters left: 6 (15 enodes) 71.651 * * [simplify]: iters left: 5 (70 enodes) 71.668 * * [simplify]: iters left: 4 (140 enodes) 71.718 * * [simplify]: iters left: 3 (330 enodes) 71.870 * * [simplify]: Extracting #0: cost 1 inf + 0 71.871 * * [simplify]: Extracting #1: cost 60 inf + 0 71.872 * * [simplify]: Extracting #2: cost 250 inf + 2 71.875 * * [simplify]: Extracting #3: cost 316 inf + 2886 71.884 * * [simplify]: Extracting #4: cost 207 inf + 23645 71.905 * * [simplify]: Extracting #5: cost 57 inf + 64741 71.925 * * [simplify]: Extracting #6: cost 3 inf + 83377 71.945 * * [simplify]: Extracting #7: cost 0 inf + 83268 71.964 * * [simplify]: Extracting #8: cost 0 inf + 83028 71.996 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 71.997 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 71.997 * * * * [progress]: [ 204 / 268 ] simplifiying candidate # 71.997 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 71.997 * * [simplify]: iters left: 6 (15 enodes) 72.006 * * [simplify]: iters left: 5 (70 enodes) 72.029 * * [simplify]: iters left: 4 (140 enodes) 72.075 * * [simplify]: iters left: 3 (330 enodes) 72.200 * * [simplify]: Extracting #0: cost 1 inf + 0 72.200 * * [simplify]: Extracting #1: cost 60 inf + 0 72.201 * * [simplify]: Extracting #2: cost 250 inf + 2 72.204 * * [simplify]: Extracting #3: cost 316 inf + 2886 72.213 * * [simplify]: Extracting #4: cost 207 inf + 23645 72.234 * * [simplify]: Extracting #5: cost 57 inf + 64741 72.260 * * [simplify]: Extracting #6: cost 3 inf + 83377 72.279 * * [simplify]: Extracting #7: cost 0 inf + 83268 72.304 * * [simplify]: Extracting #8: cost 0 inf + 83028 72.336 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 72.336 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 72.336 * * * * [progress]: [ 205 / 268 ] simplifiying candidate # 72.336 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 72.337 * * [simplify]: iters left: 6 (13 enodes) 72.344 * * [simplify]: iters left: 5 (59 enodes) 72.364 * * [simplify]: iters left: 4 (115 enodes) 72.409 * * [simplify]: iters left: 3 (281 enodes) 72.496 * * [simplify]: Extracting #0: cost 1 inf + 0 72.496 * * [simplify]: Extracting #1: cost 58 inf + 0 72.496 * * [simplify]: Extracting #2: cost 217 inf + 2 72.498 * * [simplify]: Extracting #3: cost 307 inf + 1389 72.501 * * [simplify]: Extracting #4: cost 206 inf + 20778 72.511 * * [simplify]: Extracting #5: cost 48 inf + 59312 72.538 * * [simplify]: Extracting #6: cost 0 inf + 76867 72.566 * * [simplify]: Extracting #7: cost 0 inf + 76627 72.598 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n))) 72.598 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* (* PI 2) n)))) (sqrt k))) 72.598 * * * * [progress]: [ 206 / 268 ] simplifiying candidate # 72.598 * * * * [progress]: [ 207 / 268 ] simplifiying candidate # 72.598 * * * * [progress]: [ 208 / 268 ] simplifiying candidate # 72.598 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 72.599 * * [simplify]: iters left: 6 (14 enodes) 72.607 * * [simplify]: iters left: 5 (69 enodes) 72.624 * * [simplify]: iters left: 4 (143 enodes) 72.663 * * [simplify]: iters left: 3 (393 enodes) 72.820 * * [simplify]: Extracting #0: cost 1 inf + 0 72.821 * * [simplify]: Extracting #1: cost 44 inf + 0 72.822 * * [simplify]: Extracting #2: cost 173 inf + 2 72.823 * * [simplify]: Extracting #3: cost 227 inf + 5 72.825 * * [simplify]: Extracting #4: cost 232 inf + 266 72.828 * * [simplify]: Extracting #5: cost 202 inf + 4621 72.843 * * [simplify]: Extracting #6: cost 99 inf + 49103 72.869 * * [simplify]: Extracting #7: cost 10 inf + 130543 72.917 * * [simplify]: Extracting #8: cost 0 inf + 134419 72.975 * * [simplify]: Extracting #9: cost 0 inf + 132610 73.014 * * [simplify]: Extracting #10: cost 0 inf + 132507 73.072 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 73.072 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt k))) 73.072 * * * * [progress]: [ 209 / 268 ] simplifiying candidate # 73.072 * * * * [progress]: [ 210 / 268 ] simplifiying candidate # 73.072 * * * * [progress]: [ 211 / 268 ] simplifiying candidate # 73.072 * * * * [progress]: [ 212 / 268 ] simplifiying candidate # 73.073 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2))) 73.073 * * [simplify]: iters left: 6 (10 enodes) 73.077 * * [simplify]: iters left: 5 (47 enodes) 73.087 * * [simplify]: iters left: 4 (83 enodes) 73.111 * * [simplify]: iters left: 3 (146 enodes) 73.154 * * [simplify]: iters left: 2 (230 enodes) 73.230 * * [simplify]: Extracting #0: cost 1 inf + 0 73.230 * * [simplify]: Extracting #1: cost 28 inf + 0 73.231 * * [simplify]: Extracting #2: cost 82 inf + 2 73.232 * * [simplify]: Extracting #3: cost 83 inf + 12 73.233 * * [simplify]: Extracting #4: cost 71 inf + 1435 73.237 * * [simplify]: Extracting #5: cost 34 inf + 20073 73.247 * * [simplify]: Extracting #6: cost 1 inf + 44365 73.257 * * [simplify]: Extracting #7: cost 0 inf + 44830 73.266 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 73.266 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k))) 73.267 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 73.267 * * [simplify]: iters left: 6 (10 enodes) 73.273 * * [simplify]: iters left: 5 (42 enodes) 73.287 * * [simplify]: iters left: 4 (79 enodes) 73.308 * * [simplify]: iters left: 3 (148 enodes) 73.342 * * [simplify]: iters left: 2 (286 enodes) 73.445 * * [simplify]: Extracting #0: cost 1 inf + 0 73.446 * * [simplify]: Extracting #1: cost 24 inf + 0 73.446 * * [simplify]: Extracting #2: cost 98 inf + 1 73.446 * * [simplify]: Extracting #3: cost 123 inf + 260 73.447 * * [simplify]: Extracting #4: cost 89 inf + 3146 73.451 * * [simplify]: Extracting #5: cost 29 inf + 27881 73.458 * * [simplify]: Extracting #6: cost 0 inf + 50044 73.468 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 2)) 73.468 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k))) 73.468 * * * * [progress]: [ 213 / 268 ] simplifiying candidate # 73.468 * * * * [progress]: [ 214 / 268 ] simplifiying candidate # 73.469 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) 73.469 * * [simplify]: iters left: 6 (9 enodes) 73.474 * * [simplify]: iters left: 5 (43 enodes) 73.482 * * [simplify]: iters left: 4 (85 enodes) 73.502 * * [simplify]: iters left: 3 (171 enodes) 73.542 * * [simplify]: iters left: 2 (326 enodes) 73.648 * * [simplify]: Extracting #0: cost 1 inf + 0 73.648 * * [simplify]: Extracting #1: cost 22 inf + 0 73.649 * * [simplify]: Extracting #2: cost 87 inf + 2 73.649 * * [simplify]: Extracting #3: cost 141 inf + 8 73.650 * * [simplify]: Extracting #4: cost 138 inf + 184 73.651 * * [simplify]: Extracting #5: cost 94 inf + 4201 73.655 * * [simplify]: Extracting #6: cost 39 inf + 21209 73.664 * * [simplify]: Extracting #7: cost 2 inf + 47043 73.672 * * [simplify]: Extracting #8: cost 0 inf + 47063 73.679 * * [simplify]: Extracting #9: cost 0 inf + 46465 73.687 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 73.688 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 73.688 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 73.688 * * [simplify]: iters left: 6 (10 enodes) 73.691 * * [simplify]: iters left: 5 (47 enodes) 73.705 * * [simplify]: iters left: 4 (86 enodes) 73.738 * * [simplify]: iters left: 3 (171 enodes) 73.806 * * [simplify]: iters left: 2 (348 enodes) 73.925 * * [simplify]: Extracting #0: cost 1 inf + 0 73.925 * * [simplify]: Extracting #1: cost 25 inf + 0 73.925 * * [simplify]: Extracting #2: cost 99 inf + 1 73.926 * * [simplify]: Extracting #3: cost 145 inf + 50 73.926 * * [simplify]: Extracting #4: cost 146 inf + 306 73.928 * * [simplify]: Extracting #5: cost 86 inf + 6587 73.932 * * [simplify]: Extracting #6: cost 43 inf + 21854 73.946 * * [simplify]: Extracting #7: cost 4 inf + 53688 73.955 * * [simplify]: Extracting #8: cost 0 inf + 56180 73.964 * * [simplify]: Extracting #9: cost 0 inf + 55536 73.981 * [simplify]: Simplified to (pow (* 2 PI) (* 1/2 (- 1 k))) 73.981 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k))) 73.982 * * * * [progress]: [ 215 / 268 ] simplifiying candidate # 73.982 * [simplify]: Simplifying (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 73.982 * * [simplify]: iters left: 6 (14 enodes) 73.991 * * [simplify]: iters left: 5 (64 enodes) 74.007 * * [simplify]: iters left: 4 (104 enodes) 74.025 * * [simplify]: iters left: 3 (164 enodes) 74.070 * * [simplify]: iters left: 2 (313 enodes) 74.164 * * [simplify]: Extracting #0: cost 1 inf + 0 74.164 * * [simplify]: Extracting #1: cost 31 inf + 0 74.164 * * [simplify]: Extracting #2: cost 86 inf + 1 74.165 * * [simplify]: Extracting #3: cost 138 inf + 6 74.166 * * [simplify]: Extracting #4: cost 150 inf + 185 74.167 * * [simplify]: Extracting #5: cost 146 inf + 811 74.173 * * [simplify]: Extracting #6: cost 71 inf + 23243 74.185 * * [simplify]: Extracting #7: cost 21 inf + 46577 74.200 * * [simplify]: Extracting #8: cost 4 inf + 58082 74.216 * * [simplify]: Extracting #9: cost 0 inf + 61823 74.227 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 74.227 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 74.227 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 74.228 * * [simplify]: iters left: 6 (13 enodes) 74.231 * * [simplify]: iters left: 5 (57 enodes) 74.241 * * [simplify]: iters left: 4 (93 enodes) 74.258 * * [simplify]: iters left: 3 (146 enodes) 74.295 * * [simplify]: iters left: 2 (263 enodes) 74.377 * * [simplify]: iters left: 1 (462 enodes) 74.569 * * [simplify]: Extracting #0: cost 1 inf + 0 74.569 * * [simplify]: Extracting #1: cost 3 inf + 0 74.569 * * [simplify]: Extracting #2: cost 5 inf + 0 74.570 * * [simplify]: Extracting #3: cost 29 inf + 0 74.570 * * [simplify]: Extracting #4: cost 109 inf + 1 74.572 * * [simplify]: Extracting #5: cost 177 inf + 220 74.573 * * [simplify]: Extracting #6: cost 178 inf + 647 74.580 * * [simplify]: Extracting #7: cost 97 inf + 19657 74.605 * * [simplify]: Extracting #8: cost 4 inf + 60679 74.634 * * [simplify]: Extracting #9: cost 0 inf + 58730 74.649 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 74.649 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))))) (sqrt k))) 74.649 * * * * [progress]: [ 216 / 268 ] simplifiying candidate # 74.650 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 74.650 * * [simplify]: iters left: 6 (13 enodes) 74.654 * * [simplify]: iters left: 5 (55 enodes) 74.663 * * [simplify]: iters left: 4 (93 enodes) 74.691 * * [simplify]: iters left: 3 (146 enodes) 74.747 * * [simplify]: iters left: 2 (263 enodes) 74.844 * * [simplify]: iters left: 1 (461 enodes) 75.058 * * [simplify]: Extracting #0: cost 1 inf + 0 75.058 * * [simplify]: Extracting #1: cost 26 inf + 0 75.059 * * [simplify]: Extracting #2: cost 113 inf + 1 75.059 * * [simplify]: Extracting #3: cost 181 inf + 220 75.061 * * [simplify]: Extracting #4: cost 165 inf + 1842 75.064 * * [simplify]: Extracting #5: cost 77 inf + 16915 75.073 * * [simplify]: Extracting #6: cost 23 inf + 39264 75.086 * * [simplify]: Extracting #7: cost 0 inf + 56063 75.100 * * [simplify]: Extracting #8: cost 0 inf + 54633 75.120 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 75.121 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 75.121 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 75.121 * * [simplify]: iters left: 6 (13 enodes) 75.129 * * [simplify]: iters left: 5 (55 enodes) 75.148 * * [simplify]: iters left: 4 (93 enodes) 75.181 * * [simplify]: iters left: 3 (146 enodes) 75.211 * * [simplify]: iters left: 2 (263 enodes) 75.280 * * [simplify]: iters left: 1 (461 enodes) 75.442 * * [simplify]: Extracting #0: cost 1 inf + 0 75.443 * * [simplify]: Extracting #1: cost 26 inf + 0 75.443 * * [simplify]: Extracting #2: cost 113 inf + 1 75.445 * * [simplify]: Extracting #3: cost 181 inf + 220 75.447 * * [simplify]: Extracting #4: cost 165 inf + 1842 75.454 * * [simplify]: Extracting #5: cost 77 inf + 16915 75.472 * * [simplify]: Extracting #6: cost 23 inf + 39264 75.497 * * [simplify]: Extracting #7: cost 0 inf + 56063 75.525 * * [simplify]: Extracting #8: cost 0 inf + 54633 75.559 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 75.559 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 75.559 * * * * [progress]: [ 217 / 268 ] simplifiying candidate # 75.560 * [simplify]: Simplifying (* 1 1) 75.560 * * [simplify]: iters left: 2 (2 enodes) 75.561 * * [simplify]: iters left: 1 (6 enodes) 75.563 * * [simplify]: Extracting #0: cost 1 inf + 0 75.563 * * [simplify]: Extracting #1: cost 0 inf + 1 75.563 * [simplify]: Simplified to 1 75.564 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 75.564 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 75.564 * * [simplify]: iters left: 6 (12 enodes) 75.571 * * [simplify]: iters left: 5 (56 enodes) 75.590 * * [simplify]: iters left: 4 (106 enodes) 75.628 * * [simplify]: iters left: 3 (199 enodes) 75.674 * * [simplify]: iters left: 2 (366 enodes) 75.806 * * [simplify]: Extracting #0: cost 1 inf + 0 75.806 * * [simplify]: Extracting #1: cost 26 inf + 0 75.807 * * [simplify]: Extracting #2: cost 101 inf + 1 75.807 * * [simplify]: Extracting #3: cost 154 inf + 176 75.808 * * [simplify]: Extracting #4: cost 155 inf + 518 75.810 * * [simplify]: Extracting #5: cost 92 inf + 7315 75.815 * * [simplify]: Extracting #6: cost 21 inf + 42232 75.829 * * [simplify]: Extracting #7: cost 1 inf + 58533 75.847 * * [simplify]: Extracting #8: cost 0 inf + 58748 75.870 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 75.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt k))) 75.870 * * * * [progress]: [ 218 / 268 ] simplifiying candidate # 75.870 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 75.871 * * [simplify]: iters left: 6 (13 enodes) 75.878 * * [simplify]: iters left: 5 (60 enodes) 75.900 * * [simplify]: iters left: 4 (116 enodes) 75.927 * * [simplify]: iters left: 3 (209 enodes) 75.997 * * [simplify]: iters left: 2 (414 enodes) 76.169 * * [simplify]: Extracting #0: cost 1 inf + 0 76.169 * * [simplify]: Extracting #1: cost 23 inf + 0 76.170 * * [simplify]: Extracting #2: cost 101 inf + 1 76.171 * * [simplify]: Extracting #3: cost 153 inf + 219 76.173 * * [simplify]: Extracting #4: cost 155 inf + 562 76.177 * * [simplify]: Extracting #5: cost 77 inf + 13515 76.200 * * [simplify]: Extracting #6: cost 4 inf + 48751 76.225 * * [simplify]: Extracting #7: cost 0 inf + 48729 76.245 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 76.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k))) 76.246 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 76.246 * * [simplify]: iters left: 6 (13 enodes) 76.250 * * [simplify]: iters left: 5 (60 enodes) 76.261 * * [simplify]: iters left: 4 (116 enodes) 76.291 * * [simplify]: iters left: 3 (209 enodes) 76.377 * * [simplify]: iters left: 2 (414 enodes) 76.534 * * [simplify]: Extracting #0: cost 1 inf + 0 76.534 * * [simplify]: Extracting #1: cost 23 inf + 0 76.535 * * [simplify]: Extracting #2: cost 101 inf + 1 76.536 * * [simplify]: Extracting #3: cost 153 inf + 219 76.538 * * [simplify]: Extracting #4: cost 155 inf + 562 76.543 * * [simplify]: Extracting #5: cost 77 inf + 13515 76.561 * * [simplify]: Extracting #6: cost 4 inf + 48751 76.580 * * [simplify]: Extracting #7: cost 0 inf + 48729 76.592 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 76.592 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 76.593 * * * * [progress]: [ 219 / 268 ] simplifiying candidate # 76.593 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 76.593 * * [simplify]: iters left: 6 (13 enodes) 76.597 * * [simplify]: iters left: 5 (55 enodes) 76.611 * * [simplify]: iters left: 4 (93 enodes) 76.633 * * [simplify]: iters left: 3 (146 enodes) 76.669 * * [simplify]: iters left: 2 (263 enodes) 76.760 * * [simplify]: iters left: 1 (461 enodes) 76.929 * * [simplify]: Extracting #0: cost 1 inf + 0 76.929 * * [simplify]: Extracting #1: cost 26 inf + 0 76.929 * * [simplify]: Extracting #2: cost 113 inf + 1 76.930 * * [simplify]: Extracting #3: cost 181 inf + 220 76.931 * * [simplify]: Extracting #4: cost 165 inf + 1842 76.935 * * [simplify]: Extracting #5: cost 77 inf + 16915 76.944 * * [simplify]: Extracting #6: cost 23 inf + 39264 76.960 * * [simplify]: Extracting #7: cost 0 inf + 56063 76.988 * * [simplify]: Extracting #8: cost 0 inf + 54633 77.017 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 77.018 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 77.019 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 77.019 * * [simplify]: iters left: 6 (13 enodes) 77.027 * * [simplify]: iters left: 5 (55 enodes) 77.046 * * [simplify]: iters left: 4 (93 enodes) 77.071 * * [simplify]: iters left: 3 (146 enodes) 77.108 * * [simplify]: iters left: 2 (263 enodes) 77.184 * * [simplify]: iters left: 1 (461 enodes) 77.345 * * [simplify]: Extracting #0: cost 1 inf + 0 77.345 * * [simplify]: Extracting #1: cost 26 inf + 0 77.346 * * [simplify]: Extracting #2: cost 113 inf + 1 77.346 * * [simplify]: Extracting #3: cost 181 inf + 220 77.348 * * [simplify]: Extracting #4: cost 165 inf + 1842 77.351 * * [simplify]: Extracting #5: cost 77 inf + 16915 77.360 * * [simplify]: Extracting #6: cost 23 inf + 39264 77.375 * * [simplify]: Extracting #7: cost 0 inf + 56063 77.390 * * [simplify]: Extracting #8: cost 0 inf + 54633 77.414 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 77.414 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 77.414 * * * * [progress]: [ 220 / 268 ] simplifiying candidate # 77.414 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 77.414 * * [simplify]: iters left: 6 (15 enodes) 77.419 * * [simplify]: iters left: 5 (66 enodes) 77.434 * * [simplify]: iters left: 4 (121 enodes) 77.460 * * [simplify]: iters left: 3 (217 enodes) 77.544 * * [simplify]: iters left: 2 (458 enodes) 77.716 * * [simplify]: Extracting #0: cost 1 inf + 0 77.716 * * [simplify]: Extracting #1: cost 32 inf + 0 77.717 * * [simplify]: Extracting #2: cost 100 inf + 0 77.718 * * [simplify]: Extracting #3: cost 179 inf + 2 77.719 * * [simplify]: Extracting #4: cost 241 inf + 183 77.722 * * [simplify]: Extracting #5: cost 218 inf + 3997 77.735 * * [simplify]: Extracting #6: cost 127 inf + 24409 77.761 * * [simplify]: Extracting #7: cost 34 inf + 94527 77.798 * * [simplify]: Extracting #8: cost 0 inf + 126233 77.818 * * [simplify]: Extracting #9: cost 0 inf + 125989 77.848 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) 77.848 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k))) 77.848 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 77.848 * * [simplify]: iters left: 6 (15 enodes) 77.853 * * [simplify]: iters left: 5 (66 enodes) 77.866 * * [simplify]: iters left: 4 (121 enodes) 77.891 * * [simplify]: iters left: 3 (217 enodes) 77.958 * * [simplify]: iters left: 2 (458 enodes) 78.149 * * [simplify]: Extracting #0: cost 1 inf + 0 78.149 * * [simplify]: Extracting #1: cost 32 inf + 0 78.150 * * [simplify]: Extracting #2: cost 100 inf + 0 78.151 * * [simplify]: Extracting #3: cost 179 inf + 2 78.152 * * [simplify]: Extracting #4: cost 241 inf + 183 78.155 * * [simplify]: Extracting #5: cost 218 inf + 3997 78.162 * * [simplify]: Extracting #6: cost 127 inf + 24409 78.178 * * [simplify]: Extracting #7: cost 34 inf + 94527 78.205 * * [simplify]: Extracting #8: cost 0 inf + 126233 78.225 * * [simplify]: Extracting #9: cost 0 inf + 125989 78.253 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) 78.253 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (sqrt k))) 78.253 * * * * [progress]: [ 221 / 268 ] simplifiying candidate # 78.253 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 78.254 * * [simplify]: iters left: 6 (15 enodes) 78.258 * * [simplify]: iters left: 5 (66 enodes) 78.272 * * [simplify]: iters left: 4 (119 enodes) 78.302 * * [simplify]: iters left: 3 (208 enodes) 78.349 * * [simplify]: iters left: 2 (448 enodes) 78.513 * * [simplify]: Extracting #0: cost 1 inf + 0 78.513 * * [simplify]: Extracting #1: cost 31 inf + 0 78.514 * * [simplify]: Extracting #2: cost 102 inf + 0 78.514 * * [simplify]: Extracting #3: cost 176 inf + 2 78.515 * * [simplify]: Extracting #4: cost 242 inf + 182 78.517 * * [simplify]: Extracting #5: cost 208 inf + 5418 78.528 * * [simplify]: Extracting #6: cost 128 inf + 31333 78.554 * * [simplify]: Extracting #7: cost 49 inf + 90367 78.581 * * [simplify]: Extracting #8: cost 0 inf + 132067 78.604 * * [simplify]: Extracting #9: cost 0 inf + 131056 78.644 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 78.645 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 78.645 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 78.645 * * [simplify]: iters left: 6 (15 enodes) 78.654 * * [simplify]: iters left: 5 (66 enodes) 78.679 * * [simplify]: iters left: 4 (119 enodes) 78.699 * * [simplify]: iters left: 3 (208 enodes) 78.766 * * [simplify]: iters left: 2 (448 enodes) 78.942 * * [simplify]: Extracting #0: cost 1 inf + 0 78.942 * * [simplify]: Extracting #1: cost 31 inf + 0 78.943 * * [simplify]: Extracting #2: cost 102 inf + 0 78.944 * * [simplify]: Extracting #3: cost 176 inf + 2 78.946 * * [simplify]: Extracting #4: cost 242 inf + 182 78.949 * * [simplify]: Extracting #5: cost 208 inf + 5418 78.964 * * [simplify]: Extracting #6: cost 128 inf + 31333 78.989 * * [simplify]: Extracting #7: cost 49 inf + 90367 79.018 * * [simplify]: Extracting #8: cost 0 inf + 132067 79.040 * * [simplify]: Extracting #9: cost 0 inf + 131056 79.073 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 79.073 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))))) (sqrt k))) 79.073 * * * * [progress]: [ 222 / 268 ] simplifiying candidate # 79.073 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 79.073 * * [simplify]: iters left: 6 (13 enodes) 79.078 * * [simplify]: iters left: 5 (60 enodes) 79.092 * * [simplify]: iters left: 4 (116 enodes) 79.112 * * [simplify]: iters left: 3 (209 enodes) 79.190 * * [simplify]: iters left: 2 (414 enodes) 79.321 * * [simplify]: Extracting #0: cost 1 inf + 0 79.321 * * [simplify]: Extracting #1: cost 23 inf + 0 79.321 * * [simplify]: Extracting #2: cost 101 inf + 1 79.322 * * [simplify]: Extracting #3: cost 153 inf + 219 79.323 * * [simplify]: Extracting #4: cost 155 inf + 562 79.325 * * [simplify]: Extracting #5: cost 77 inf + 13515 79.340 * * [simplify]: Extracting #6: cost 4 inf + 48751 79.365 * * [simplify]: Extracting #7: cost 0 inf + 48729 79.393 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 79.393 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt k))) 79.394 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 79.394 * * [simplify]: iters left: 6 (13 enodes) 79.398 * * [simplify]: iters left: 5 (60 enodes) 79.409 * * [simplify]: iters left: 4 (116 enodes) 79.434 * * [simplify]: iters left: 3 (209 enodes) 79.513 * * [simplify]: iters left: 2 (414 enodes) 79.702 * * [simplify]: Extracting #0: cost 1 inf + 0 79.702 * * [simplify]: Extracting #1: cost 23 inf + 0 79.703 * * [simplify]: Extracting #2: cost 101 inf + 1 79.704 * * [simplify]: Extracting #3: cost 153 inf + 219 79.706 * * [simplify]: Extracting #4: cost 155 inf + 562 79.715 * * [simplify]: Extracting #5: cost 77 inf + 13515 79.728 * * [simplify]: Extracting #6: cost 4 inf + 48751 79.740 * * [simplify]: Extracting #7: cost 0 inf + 48729 79.754 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 79.754 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k))) 79.754 * * * * [progress]: [ 223 / 268 ] simplifiying candidate # 79.755 * [simplify]: Simplifying (* n (* 2 PI)) 79.755 * * [simplify]: iters left: 4 (5 enodes) 79.758 * * [simplify]: iters left: 3 (19 enodes) 79.765 * * [simplify]: iters left: 2 (27 enodes) 79.772 * * [simplify]: iters left: 1 (32 enodes) 79.780 * * [simplify]: Extracting #0: cost 1 inf + 0 79.780 * * [simplify]: Extracting #1: cost 8 inf + 0 79.780 * * [simplify]: Extracting #2: cost 7 inf + 45 79.781 * * [simplify]: Extracting #3: cost 0 inf + 421 79.781 * [simplify]: Simplified to (* (* PI 2) n) 79.781 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 2 (/ (/ (- 1 k) 2) 2))) (sqrt k))) 79.781 * [simplify]: Simplifying (* 2 (/ (/ (- 1 k) 2) 2)) 79.781 * * [simplify]: iters left: 6 (7 enodes) 79.786 * * [simplify]: iters left: 5 (35 enodes) 79.793 * * [simplify]: iters left: 4 (61 enodes) 79.804 * * [simplify]: iters left: 3 (87 enodes) 79.818 * * [simplify]: iters left: 2 (119 enodes) 79.860 * * [simplify]: iters left: 1 (195 enodes) 79.914 * * [simplify]: Extracting #0: cost 1 inf + 0 79.914 * * [simplify]: Extracting #1: cost 19 inf + 0 79.917 * * [simplify]: Extracting #2: cost 58 inf + 5 79.917 * * [simplify]: Extracting #3: cost 41 inf + 2147 79.919 * * [simplify]: Extracting #4: cost 4 inf + 5287 79.921 * * [simplify]: Extracting #5: cost 0 inf + 5700 79.923 * [simplify]: Simplified to (* 1/2 (- 1 k)) 79.923 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 79.923 * * * * [progress]: [ 224 / 268 ] simplifiying candidate # 79.924 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 79.924 * * [simplify]: iters left: 6 (9 enodes) 79.927 * * [simplify]: iters left: 5 (42 enodes) 79.935 * * [simplify]: iters left: 4 (70 enodes) 79.948 * * [simplify]: iters left: 3 (117 enodes) 79.992 * * [simplify]: iters left: 2 (232 enodes) 80.050 * * [simplify]: iters left: 1 (452 enodes) 80.318 * * [simplify]: Extracting #0: cost 1 inf + 0 80.318 * * [simplify]: Extracting #1: cost 24 inf + 0 80.319 * * [simplify]: Extracting #2: cost 94 inf + 1 80.320 * * [simplify]: Extracting #3: cost 164 inf + 94 80.321 * * [simplify]: Extracting #4: cost 174 inf + 187 80.325 * * [simplify]: Extracting #5: cost 104 inf + 8023 80.336 * * [simplify]: Extracting #6: cost 33 inf + 28456 80.355 * * [simplify]: Extracting #7: cost 0 inf + 52800 80.378 * * [simplify]: Extracting #8: cost 0 inf + 51842 80.396 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 80.396 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt k))) 80.397 * * * * [progress]: [ 225 / 268 ] simplifiying candidate # 80.397 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 80.397 * * [simplify]: iters left: 6 (12 enodes) 80.404 * * [simplify]: iters left: 5 (54 enodes) 80.422 * * [simplify]: iters left: 4 (90 enodes) 80.451 * * [simplify]: iters left: 3 (146 enodes) 80.503 * * [simplify]: iters left: 2 (265 enodes) 80.583 * * [simplify]: iters left: 1 (466 enodes) 80.777 * * [simplify]: Extracting #0: cost 1 inf + 0 80.777 * * [simplify]: Extracting #1: cost 3 inf + 0 80.777 * * [simplify]: Extracting #2: cost 24 inf + 0 80.778 * * [simplify]: Extracting #3: cost 105 inf + 1 80.779 * * [simplify]: Extracting #4: cost 184 inf + 179 80.781 * * [simplify]: Extracting #5: cost 179 inf + 938 80.787 * * [simplify]: Extracting #6: cost 96 inf + 10233 80.801 * * [simplify]: Extracting #7: cost 41 inf + 26043 80.819 * * [simplify]: Extracting #8: cost 1 inf + 57414 80.836 * * [simplify]: Extracting #9: cost 0 inf + 58252 80.845 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) 80.845 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (sqrt k))) 80.845 * * * * [progress]: [ 226 / 268 ] simplifiying candidate # 80.846 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 80.846 * * [simplify]: iters left: 6 (12 enodes) 80.850 * * [simplify]: iters left: 5 (54 enodes) 80.859 * * [simplify]: iters left: 4 (91 enodes) 80.877 * * [simplify]: iters left: 3 (144 enodes) 80.929 * * [simplify]: iters left: 2 (257 enodes) 81.021 * * [simplify]: iters left: 1 (459 enodes) 81.225 * * [simplify]: Extracting #0: cost 1 inf + 0 81.225 * * [simplify]: Extracting #1: cost 4 inf + 0 81.225 * * [simplify]: Extracting #2: cost 26 inf + 0 81.225 * * [simplify]: Extracting #3: cost 115 inf + 1 81.229 * * [simplify]: Extracting #4: cost 178 inf + 179 81.230 * * [simplify]: Extracting #5: cost 171 inf + 1710 81.234 * * [simplify]: Extracting #6: cost 70 inf + 21235 81.253 * * [simplify]: Extracting #7: cost 3 inf + 62725 81.274 * * [simplify]: Extracting #8: cost 0 inf + 62580 81.294 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 81.294 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))) (sqrt k))) 81.295 * * * * [progress]: [ 227 / 268 ] simplifiying candidate # 81.295 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 81.295 * * [simplify]: iters left: 6 (11 enodes) 81.303 * * [simplify]: iters left: 5 (51 enodes) 81.320 * * [simplify]: iters left: 4 (87 enodes) 81.343 * * [simplify]: iters left: 3 (143 enodes) 81.372 * * [simplify]: iters left: 2 (259 enodes) 81.424 * * [simplify]: iters left: 1 (467 enodes) 81.608 * * [simplify]: Extracting #0: cost 1 inf + 0 81.608 * * [simplify]: Extracting #1: cost 23 inf + 0 81.609 * * [simplify]: Extracting #2: cost 99 inf + 1 81.610 * * [simplify]: Extracting #3: cost 180 inf + 178 81.611 * * [simplify]: Extracting #4: cost 162 inf + 2505 81.615 * * [simplify]: Extracting #5: cost 78 inf + 12096 81.621 * * [simplify]: Extracting #6: cost 33 inf + 29460 81.630 * * [simplify]: Extracting #7: cost 1 inf + 56926 81.640 * * [simplify]: Extracting #8: cost 0 inf + 57804 81.658 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 81.659 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt k))) 81.659 * * * * [progress]: [ 228 / 268 ] simplifiying candidate # 81.659 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 81.659 * * [simplify]: iters left: 6 (12 enodes) 81.667 * * [simplify]: iters left: 5 (55 enodes) 81.686 * * [simplify]: iters left: 4 (97 enodes) 81.705 * * [simplify]: iters left: 3 (158 enodes) 81.744 * * [simplify]: iters left: 2 (294 enodes) 81.836 * * [simplify]: Extracting #0: cost 1 inf + 0 81.836 * * [simplify]: Extracting #1: cost 14 inf + 0 81.836 * * [simplify]: Extracting #2: cost 70 inf + 1 81.837 * * [simplify]: Extracting #3: cost 121 inf + 10 81.837 * * [simplify]: Extracting #4: cost 121 inf + 600 81.839 * * [simplify]: Extracting #5: cost 40 inf + 10150 81.843 * * [simplify]: Extracting #6: cost 13 inf + 21524 81.848 * * [simplify]: Extracting #7: cost 2 inf + 29005 81.855 * * [simplify]: Extracting #8: cost 0 inf + 30267 81.861 * * [simplify]: Extracting #9: cost 0 inf + 30136 81.866 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 81.866 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (sqrt k))) 81.867 * * * * [progress]: [ 229 / 268 ] simplifiying candidate # 81.867 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 81.867 * * [simplify]: iters left: 6 (8 enodes) 81.870 * * [simplify]: iters left: 5 (38 enodes) 81.877 * * [simplify]: iters left: 4 (66 enodes) 81.891 * * [simplify]: iters left: 3 (110 enodes) 81.921 * * [simplify]: iters left: 2 (200 enodes) 81.977 * * [simplify]: iters left: 1 (403 enodes) 82.161 * * [simplify]: Extracting #0: cost 1 inf + 0 82.161 * * [simplify]: Extracting #1: cost 26 inf + 0 82.161 * * [simplify]: Extracting #2: cost 100 inf + 2 82.162 * * [simplify]: Extracting #3: cost 164 inf + 10 82.163 * * [simplify]: Extracting #4: cost 157 inf + 1472 82.166 * * [simplify]: Extracting #5: cost 64 inf + 19273 82.174 * * [simplify]: Extracting #6: cost 8 inf + 47461 82.183 * * [simplify]: Extracting #7: cost 0 inf + 52807 82.194 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 82.194 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 82.194 * * * * [progress]: [ 230 / 268 ] simplifiying candidate # 82.195 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 82.195 * * [simplify]: iters left: 6 (13 enodes) 82.199 * * [simplify]: iters left: 5 (57 enodes) 82.212 * * [simplify]: iters left: 4 (93 enodes) 82.232 * * [simplify]: iters left: 3 (146 enodes) 82.261 * * [simplify]: iters left: 2 (263 enodes) 82.341 * * [simplify]: iters left: 1 (462 enodes) 82.543 * * [simplify]: Extracting #0: cost 1 inf + 0 82.543 * * [simplify]: Extracting #1: cost 3 inf + 0 82.543 * * [simplify]: Extracting #2: cost 5 inf + 0 82.544 * * [simplify]: Extracting #3: cost 29 inf + 0 82.544 * * [simplify]: Extracting #4: cost 109 inf + 1 82.545 * * [simplify]: Extracting #5: cost 177 inf + 220 82.546 * * [simplify]: Extracting #6: cost 178 inf + 647 82.549 * * [simplify]: Extracting #7: cost 97 inf + 19657 82.563 * * [simplify]: Extracting #8: cost 4 inf + 60679 82.578 * * [simplify]: Extracting #9: cost 0 inf + 58730 82.604 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 82.605 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 82.605 * * * * [progress]: [ 231 / 268 ] simplifiying candidate # 82.608 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 82.608 * * [simplify]: iters left: 6 (12 enodes) 82.611 * * [simplify]: iters left: 5 (54 enodes) 82.621 * * [simplify]: iters left: 4 (91 enodes) 82.636 * * [simplify]: iters left: 3 (144 enodes) 82.680 * * [simplify]: iters left: 2 (257 enodes) 82.744 * * [simplify]: iters left: 1 (459 enodes) 82.923 * * [simplify]: Extracting #0: cost 1 inf + 0 82.923 * * [simplify]: Extracting #1: cost 4 inf + 0 82.923 * * [simplify]: Extracting #2: cost 26 inf + 0 82.923 * * [simplify]: Extracting #3: cost 115 inf + 1 82.924 * * [simplify]: Extracting #4: cost 178 inf + 179 82.925 * * [simplify]: Extracting #5: cost 171 inf + 1710 82.928 * * [simplify]: Extracting #6: cost 70 inf + 21235 82.938 * * [simplify]: Extracting #7: cost 3 inf + 62725 82.957 * * [simplify]: Extracting #8: cost 0 inf + 62580 82.979 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 82.979 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 82.979 * * * * [progress]: [ 232 / 268 ] simplifiying candidate # 82.979 * * * * [progress]: [ 233 / 268 ] simplifiying candidate # 82.979 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 82.979 * * [simplify]: iters left: 6 (12 enodes) 82.983 * * [simplify]: iters left: 5 (55 enodes) 82.994 * * [simplify]: iters left: 4 (97 enodes) 83.017 * * [simplify]: iters left: 3 (158 enodes) 83.049 * * [simplify]: iters left: 2 (294 enodes) 83.123 * * [simplify]: Extracting #0: cost 1 inf + 0 83.123 * * [simplify]: Extracting #1: cost 14 inf + 0 83.123 * * [simplify]: Extracting #2: cost 70 inf + 1 83.124 * * [simplify]: Extracting #3: cost 121 inf + 10 83.124 * * [simplify]: Extracting #4: cost 121 inf + 600 83.126 * * [simplify]: Extracting #5: cost 40 inf + 10150 83.130 * * [simplify]: Extracting #6: cost 13 inf + 21524 83.134 * * [simplify]: Extracting #7: cost 2 inf + 29005 83.139 * * [simplify]: Extracting #8: cost 0 inf + 30267 83.145 * * [simplify]: Extracting #9: cost 0 inf + 30136 83.152 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 83.152 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 83.152 * * * * [progress]: [ 234 / 268 ] simplifiying candidate # 83.152 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 83.152 * * [simplify]: iters left: 5 (9 enodes) 83.156 * * [simplify]: iters left: 4 (37 enodes) 83.166 * * [simplify]: iters left: 3 (57 enodes) 83.183 * * [simplify]: iters left: 2 (93 enodes) 83.211 * * [simplify]: iters left: 1 (170 enodes) 83.265 * * [simplify]: Extracting #0: cost 1 inf + 0 83.265 * * [simplify]: Extracting #1: cost 13 inf + 0 83.266 * * [simplify]: Extracting #2: cost 59 inf + 1 83.266 * * [simplify]: Extracting #3: cost 78 inf + 176 83.270 * * [simplify]: Extracting #4: cost 40 inf + 3875 83.274 * * [simplify]: Extracting #5: cost 7 inf + 16988 83.279 * * [simplify]: Extracting #6: cost 0 inf + 20577 83.284 * * [simplify]: Extracting #7: cost 0 inf + 20336 83.287 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 83.287 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2))) (pow (* (* PI 2) n) (/ k 4))) (sqrt k))) 83.288 * * * * [progress]: [ 235 / 268 ] simplifiying candidate # 83.288 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 83.288 * * [simplify]: iters left: 6 (15 enodes) 83.293 * * [simplify]: iters left: 5 (68 enodes) 83.307 * * [simplify]: iters left: 4 (125 enodes) 83.358 * * [simplify]: iters left: 3 (256 enodes) 83.465 * * [simplify]: Extracting #0: cost 1 inf + 0 83.465 * * [simplify]: Extracting #1: cost 37 inf + 0 83.465 * * [simplify]: Extracting #2: cost 121 inf + 0 83.466 * * [simplify]: Extracting #3: cost 151 inf + 5 83.467 * * [simplify]: Extracting #4: cost 154 inf + 1062 83.469 * * [simplify]: Extracting #5: cost 98 inf + 19644 83.475 * * [simplify]: Extracting #6: cost 26 inf + 57705 83.485 * * [simplify]: Extracting #7: cost 1 inf + 77246 83.499 * * [simplify]: Extracting #8: cost 0 inf + 77805 83.512 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) 83.512 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k))) 83.512 * * * * [progress]: [ 236 / 268 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k)))> 83.513 * * * * [progress]: [ 237 / 268 ] simplifiying candidate # 83.513 * * * * [progress]: [ 238 / 268 ] simplifiying candidate # 83.513 * [simplify]: Simplifying (* n (* 2 PI)) 83.513 * * [simplify]: iters left: 4 (5 enodes) 83.514 * * [simplify]: iters left: 3 (19 enodes) 83.518 * * [simplify]: iters left: 2 (27 enodes) 83.522 * * [simplify]: iters left: 1 (32 enodes) 83.526 * * [simplify]: Extracting #0: cost 1 inf + 0 83.526 * * [simplify]: Extracting #1: cost 8 inf + 0 83.526 * * [simplify]: Extracting #2: cost 7 inf + 45 83.526 * * [simplify]: Extracting #3: cost 0 inf + 421 83.526 * [simplify]: Simplified to (* (* PI 2) n) 83.526 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 83.527 * * * * [progress]: [ 239 / 268 ] simplifiying candidate # 83.527 * [simplify]: Simplifying (* n (* 2 PI)) 83.527 * * [simplify]: iters left: 4 (5 enodes) 83.528 * * [simplify]: iters left: 3 (19 enodes) 83.532 * * [simplify]: iters left: 2 (27 enodes) 83.536 * * [simplify]: iters left: 1 (32 enodes) 83.540 * * [simplify]: Extracting #0: cost 1 inf + 0 83.542 * * [simplify]: Extracting #1: cost 8 inf + 0 83.542 * * [simplify]: Extracting #2: cost 7 inf + 45 83.542 * * [simplify]: Extracting #3: cost 0 inf + 421 83.542 * [simplify]: Simplified to (* (* PI 2) n) 83.542 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 83.542 * * * * [progress]: [ 240 / 268 ] simplifiying candidate # 83.542 * * * * [progress]: [ 241 / 268 ] simplifiying candidate # 83.543 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 83.543 * * [simplify]: iters left: 5 (8 enodes) 83.545 * * [simplify]: iters left: 4 (28 enodes) 83.554 * * [simplify]: iters left: 3 (36 enodes) 83.559 * * [simplify]: iters left: 2 (42 enodes) 83.565 * * [simplify]: Extracting #0: cost 1 inf + 0 83.565 * * [simplify]: Extracting #1: cost 8 inf + 0 83.565 * * [simplify]: Extracting #2: cost 17 inf + 0 83.565 * * [simplify]: Extracting #3: cost 12 inf + 145 83.565 * * [simplify]: Extracting #4: cost 5 inf + 1197 83.565 * * [simplify]: Extracting #5: cost 1 inf + 1925 83.565 * * [simplify]: Extracting #6: cost 0 inf + 2107 83.566 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 83.566 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 83.566 * * * * [progress]: [ 242 / 268 ] simplifiying candidate # 83.566 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 83.566 * * [simplify]: iters left: 5 (7 enodes) 83.568 * * [simplify]: iters left: 4 (26 enodes) 83.572 * * [simplify]: iters left: 3 (35 enodes) 83.577 * * [simplify]: iters left: 2 (44 enodes) 83.584 * * [simplify]: Extracting #0: cost 1 inf + 0 83.584 * * [simplify]: Extracting #1: cost 8 inf + 0 83.585 * * [simplify]: Extracting #2: cost 18 inf + 0 83.585 * * [simplify]: Extracting #3: cost 15 inf + 74 83.585 * * [simplify]: Extracting #4: cost 8 inf + 554 83.585 * * [simplify]: Extracting #5: cost 0 inf + 1911 83.586 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 83.586 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 83.586 * * * * [progress]: [ 243 / 268 ] simplifiying candidate # 83.586 * * * * [progress]: [ 244 / 268 ] simplifiying candidate # 83.587 * * * * [progress]: [ 245 / 268 ] simplifiying candidate # 83.587 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 83.587 * * [simplify]: iters left: 6 (11 enodes) 83.595 * * [simplify]: iters left: 5 (48 enodes) 83.613 * * [simplify]: iters left: 4 (121 enodes) 83.644 * * [simplify]: iters left: 3 (348 enodes) 83.860 * * [simplify]: Extracting #0: cost 1 inf + 0 83.860 * * [simplify]: Extracting #1: cost 67 inf + 0 83.861 * * [simplify]: Extracting #2: cost 165 inf + 786 83.866 * * [simplify]: Extracting #3: cost 85 inf + 10177 83.878 * * [simplify]: Extracting #4: cost 9 inf + 26399 83.895 * * [simplify]: Extracting #5: cost 0 inf + 28546 83.907 * * [simplify]: Extracting #6: cost 0 inf + 28506 83.917 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 83.918 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 83.918 * * * * [progress]: [ 246 / 268 ] simplifiying candidate # 83.918 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 83.918 * * [simplify]: iters left: 6 (9 enodes) 83.924 * * [simplify]: iters left: 5 (45 enodes) 83.940 * * [simplify]: iters left: 4 (117 enodes) 83.978 * * [simplify]: iters left: 3 (374 enodes) 84.320 * * [simplify]: Extracting #0: cost 1 inf + 0 84.320 * * [simplify]: Extracting #1: cost 77 inf + 0 84.322 * * [simplify]: Extracting #2: cost 184 inf + 984 84.330 * * [simplify]: Extracting #3: cost 106 inf + 11690 84.352 * * [simplify]: Extracting #4: cost 6 inf + 30376 84.362 * * [simplify]: Extracting #5: cost 0 inf + 31644 84.372 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 84.372 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 84.372 * * * * [progress]: [ 247 / 268 ] simplifiying candidate # 84.372 * * * * [progress]: [ 248 / 268 ] simplifiying candidate # 84.372 * * * * [progress]: [ 249 / 268 ] simplifiying candidate # 84.372 * * * * [progress]: [ 250 / 268 ] simplifiying candidate # 84.372 * * * * [progress]: [ 251 / 268 ] simplifiying candidate # 84.372 * * * * [progress]: [ 252 / 268 ] simplifiying candidate # 84.372 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 84.372 * * [simplify]: iters left: 3 (3 enodes) 84.373 * * [simplify]: iters left: 2 (9 enodes) 84.374 * * [simplify]: Extracting #0: cost 1 inf + 0 84.374 * * [simplify]: Extracting #1: cost 3 inf + 0 84.374 * * [simplify]: Extracting #2: cost 5 inf + 0 84.374 * * [simplify]: Extracting #3: cost 4 inf + 1 84.374 * * [simplify]: Extracting #4: cost 0 inf + 405 84.374 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 84.374 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 84.375 * * * * [progress]: [ 253 / 268 ] simplifiying candidate # 84.375 * [simplify]: Simplifying (sqrt n) 84.375 * * [simplify]: iters left: 1 (2 enodes) 84.375 * * [simplify]: Extracting #0: cost 1 inf + 0 84.375 * * [simplify]: Extracting #1: cost 3 inf + 0 84.375 * * [simplify]: Extracting #2: cost 2 inf + 1 84.375 * * [simplify]: Extracting #3: cost 0 inf + 83 84.375 * [simplify]: Simplified to (sqrt n) 84.375 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 84.375 * * * * [progress]: [ 254 / 268 ] simplifiying candidate # 84.375 * * * * [progress]: [ 255 / 268 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> 84.375 * * * * [progress]: [ 256 / 268 ] simplifiying candidate # 84.376 * * * * [progress]: [ 257 / 268 ] simplifiying candidate # 84.376 * [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))))))) 84.376 * * [simplify]: iters left: 6 (37 enodes) 84.388 * * [simplify]: iters left: 5 (190 enodes) 84.472 * * [simplify]: Extracting #0: cost 1 inf + 0 84.472 * * [simplify]: Extracting #1: cost 18 inf + 0 84.472 * * [simplify]: Extracting #2: cost 85 inf + 0 84.473 * * [simplify]: Extracting #3: cost 169 inf + 45 84.474 * * [simplify]: Extracting #4: cost 194 inf + 581 84.479 * * [simplify]: Extracting #5: cost 128 inf + 18118 84.497 * * [simplify]: Extracting #6: cost 27 inf + 64733 84.528 * * [simplify]: Extracting #7: cost 1 inf + 82414 84.558 * * [simplify]: Extracting #8: cost 0 inf + 81915 84.574 * * [simplify]: Extracting #9: cost 0 inf + 81594 84.595 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 84.596 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))) (sqrt k))) 84.596 * * * * [progress]: [ 258 / 268 ] simplifiying candidate # 84.597 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 84.597 * * [simplify]: iters left: 6 (15 enodes) 84.606 * * [simplify]: iters left: 5 (65 enodes) 84.630 * * [simplify]: iters left: 4 (123 enodes) 84.671 * * [simplify]: iters left: 3 (360 enodes) 84.851 * * [simplify]: Extracting #0: cost 1 inf + 0 84.851 * * [simplify]: Extracting #1: cost 37 inf + 0 84.852 * * [simplify]: Extracting #2: cost 214 inf + 1 84.854 * * [simplify]: Extracting #3: cost 351 inf + 1827 84.859 * * [simplify]: Extracting #4: cost 217 inf + 29927 84.871 * * [simplify]: Extracting #5: cost 35 inf + 80289 84.893 * * [simplify]: Extracting #6: cost 0 inf + 89737 84.914 * * [simplify]: Extracting #7: cost 0 inf + 88848 84.933 * * [simplify]: Extracting #8: cost 0 inf + 88843 84.956 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 84.956 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))) (sqrt k))) 84.956 * * * * [progress]: [ 259 / 268 ] simplifiying candidate # 84.956 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 84.956 * * [simplify]: iters left: 6 (16 enodes) 84.961 * * [simplify]: iters left: 5 (67 enodes) 84.974 * * [simplify]: iters left: 4 (134 enodes) 85.013 * * [simplify]: iters left: 3 (406 enodes) 85.225 * * [simplify]: Extracting #0: cost 1 inf + 0 85.225 * * [simplify]: Extracting #1: cost 39 inf + 0 85.225 * * [simplify]: Extracting #2: cost 241 inf + 72 85.227 * * [simplify]: Extracting #3: cost 449 inf + 888 85.233 * * [simplify]: Extracting #4: cost 276 inf + 41470 85.261 * * [simplify]: Extracting #5: cost 21 inf + 115189 85.305 * * [simplify]: Extracting #6: cost 0 inf + 121987 85.333 * * [simplify]: Extracting #7: cost 0 inf + 121985 85.355 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 85.355 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))) 85.355 * * * * [progress]: [ 260 / 268 ] simplifiying candidate # 85.356 * [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))))))) 85.356 * * [simplify]: iters left: 6 (37 enodes) 85.367 * * [simplify]: iters left: 5 (190 enodes) 85.431 * * [simplify]: Extracting #0: cost 1 inf + 0 85.431 * * [simplify]: Extracting #1: cost 18 inf + 0 85.431 * * [simplify]: Extracting #2: cost 85 inf + 0 85.432 * * [simplify]: Extracting #3: cost 169 inf + 45 85.432 * * [simplify]: Extracting #4: cost 194 inf + 581 85.435 * * [simplify]: Extracting #5: cost 128 inf + 18118 85.452 * * [simplify]: Extracting #6: cost 27 inf + 64733 85.481 * * [simplify]: Extracting #7: cost 1 inf + 82414 85.514 * * [simplify]: Extracting #8: cost 0 inf + 81915 85.540 * * [simplify]: Extracting #9: cost 0 inf + 81594 85.556 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 85.557 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 85.558 * * * * [progress]: [ 261 / 268 ] simplifiying candidate # 85.558 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 85.558 * * [simplify]: iters left: 6 (15 enodes) 85.563 * * [simplify]: iters left: 5 (65 enodes) 85.576 * * [simplify]: iters left: 4 (123 enodes) 85.610 * * [simplify]: iters left: 3 (360 enodes) 85.761 * * [simplify]: Extracting #0: cost 1 inf + 0 85.761 * * [simplify]: Extracting #1: cost 37 inf + 0 85.762 * * [simplify]: Extracting #2: cost 214 inf + 1 85.763 * * [simplify]: Extracting #3: cost 351 inf + 1827 85.768 * * [simplify]: Extracting #4: cost 217 inf + 29927 85.780 * * [simplify]: Extracting #5: cost 35 inf + 80289 85.795 * * [simplify]: Extracting #6: cost 0 inf + 89737 85.811 * * [simplify]: Extracting #7: cost 0 inf + 88848 85.830 * * [simplify]: Extracting #8: cost 0 inf + 88843 85.846 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 85.846 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 85.846 * * * * [progress]: [ 262 / 268 ] simplifiying candidate # 85.846 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 85.846 * * [simplify]: iters left: 6 (16 enodes) 85.852 * * [simplify]: iters left: 5 (67 enodes) 85.864 * * [simplify]: iters left: 4 (134 enodes) 85.909 * * [simplify]: iters left: 3 (406 enodes) 86.138 * * [simplify]: Extracting #0: cost 1 inf + 0 86.138 * * [simplify]: Extracting #1: cost 39 inf + 0 86.139 * * [simplify]: Extracting #2: cost 241 inf + 72 86.142 * * [simplify]: Extracting #3: cost 449 inf + 888 86.154 * * [simplify]: Extracting #4: cost 276 inf + 41470 86.191 * * [simplify]: Extracting #5: cost 21 inf + 115189 86.234 * * [simplify]: Extracting #6: cost 0 inf + 121987 86.269 * * [simplify]: Extracting #7: cost 0 inf + 121985 86.293 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 86.293 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 86.293 * * * * [progress]: [ 263 / 268 ] simplifiying candidate # 86.293 * [simplify]: Simplifying (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k))))) 86.294 * * [simplify]: iters left: 6 (38 enodes) 86.305 * * [simplify]: iters left: 5 (194 enodes) 86.361 * * [simplify]: Extracting #0: cost 1 inf + 0 86.361 * * [simplify]: Extracting #1: cost 18 inf + 0 86.362 * * [simplify]: Extracting #2: cost 87 inf + 0 86.363 * * [simplify]: Extracting #3: cost 166 inf + 87 86.364 * * [simplify]: Extracting #4: cost 206 inf + 581 86.370 * * [simplify]: Extracting #5: cost 141 inf + 20924 86.389 * * [simplify]: Extracting #6: cost 47 inf + 61071 86.410 * * [simplify]: Extracting #7: cost 2 inf + 92039 86.431 * * [simplify]: Extracting #8: cost 0 inf + 92351 86.452 * [simplify]: Simplified to (+ (+ (* (* (* (log n) k) (* (log n) k)) (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) 1/8)) (+ (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (* (* (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (log (* 2 PI)) (log (* 2 PI))) 1/8))) (* (* (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (log n) (log (* 2 PI))) 1/4)))) (* -1/2 (* k (+ (* (log n) (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (log (* 2 PI))))))) 86.452 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (log n) k) (* (log n) k)) (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) 1/8)) (+ (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (* (* (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (log (* 2 PI)) (log (* 2 PI))) 1/8))) (* (* (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (* k (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (log n) (log (* 2 PI))) 1/4)))) (* -1/2 (* k (+ (* (log n) (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (exp (* (+ (log n) (log (* 2 PI))) 1/4))) (log (* 2 PI))))))) (sqrt k))) 86.452 * * * * [progress]: [ 264 / 268 ] simplifiying candidate # 86.452 * [simplify]: Simplifying (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) 86.452 * * [simplify]: iters left: 6 (16 enodes) 86.458 * * [simplify]: iters left: 5 (72 enodes) 86.482 * * [simplify]: iters left: 4 (134 enodes) 86.530 * * [simplify]: iters left: 3 (427 enodes) 86.769 * * [simplify]: Extracting #0: cost 1 inf + 0 86.770 * * [simplify]: Extracting #1: cost 33 inf + 0 86.771 * * [simplify]: Extracting #2: cost 229 inf + 2 86.774 * * [simplify]: Extracting #3: cost 440 inf + 2341 86.788 * * [simplify]: Extracting #4: cost 295 inf + 45041 86.833 * * [simplify]: Extracting #5: cost 37 inf + 120172 86.881 * * [simplify]: Extracting #6: cost 1 inf + 131056 86.928 * * [simplify]: Extracting #7: cost 0 inf + 130004 86.967 * * [simplify]: Extracting #8: cost 0 inf + 129715 86.997 * [simplify]: Simplified to (exp (* (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 1/2)) 86.997 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 1/2)) (sqrt k))) 86.997 * * * * [progress]: [ 265 / 268 ] simplifiying candidate # 86.998 * [simplify]: Simplifying (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2) 86.998 * * [simplify]: iters left: 6 (18 enodes) 87.006 * * [simplify]: iters left: 5 (77 enodes) 87.021 * * [simplify]: iters left: 4 (147 enodes) 87.067 * * [simplify]: iters left: 3 (488 enodes) 87.335 * * [simplify]: Extracting #0: cost 1 inf + 0 87.335 * * [simplify]: Extracting #1: cost 33 inf + 0 87.337 * * [simplify]: Extracting #2: cost 273 inf + 2 87.340 * * [simplify]: Extracting #3: cost 561 inf + 1788 87.346 * * [simplify]: Extracting #4: cost 548 inf + 9430 87.356 * * [simplify]: Extracting #5: cost 326 inf + 66774 87.391 * * [simplify]: Extracting #6: cost 43 inf + 163206 87.433 * * [simplify]: Extracting #7: cost 1 inf + 181387 87.498 * * [simplify]: Extracting #8: cost 0 inf + 182472 87.566 * * [simplify]: Extracting #9: cost 0 inf + 182391 87.611 * [simplify]: Simplified to (exp (* (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))) 1/2)) 87.611 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))) 1/2)) (sqrt k))) 87.611 * * * * [progress]: [ 266 / 268 ] simplifiying candidate # 87.611 * [simplify]: Simplifying (* 2 (* n PI)) 87.611 * * [simplify]: iters left: 4 (5 enodes) 87.613 * * [simplify]: iters left: 3 (19 enodes) 87.616 * * [simplify]: iters left: 2 (27 enodes) 87.620 * * [simplify]: iters left: 1 (32 enodes) 87.624 * * [simplify]: Extracting #0: cost 1 inf + 0 87.624 * * [simplify]: Extracting #1: cost 8 inf + 0 87.624 * * [simplify]: Extracting #2: cost 7 inf + 45 87.624 * * [simplify]: Extracting #3: cost 0 inf + 421 87.624 * [simplify]: Simplified to (* (* PI n) 2) 87.625 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 87.625 * * * * [progress]: [ 267 / 268 ] simplifiying candidate # 87.625 * [simplify]: Simplifying (* 2 (* n PI)) 87.625 * * [simplify]: iters left: 4 (5 enodes) 87.626 * * [simplify]: iters left: 3 (19 enodes) 87.629 * * [simplify]: iters left: 2 (27 enodes) 87.634 * * [simplify]: iters left: 1 (32 enodes) 87.639 * * [simplify]: Extracting #0: cost 1 inf + 0 87.639 * * [simplify]: Extracting #1: cost 8 inf + 0 87.639 * * [simplify]: Extracting #2: cost 7 inf + 45 87.639 * * [simplify]: Extracting #3: cost 0 inf + 421 87.639 * [simplify]: Simplified to (* (* PI n) 2) 87.639 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 87.640 * * * * [progress]: [ 268 / 268 ] simplifiying candidate # 87.640 * [simplify]: Simplifying (* 2 (* n PI)) 87.640 * * [simplify]: iters left: 4 (5 enodes) 87.641 * * [simplify]: iters left: 3 (19 enodes) 87.644 * * [simplify]: iters left: 2 (27 enodes) 87.648 * * [simplify]: iters left: 1 (32 enodes) 87.653 * * [simplify]: Extracting #0: cost 1 inf + 0 87.653 * * [simplify]: Extracting #1: cost 8 inf + 0 87.653 * * [simplify]: Extracting #2: cost 7 inf + 45 87.653 * * [simplify]: Extracting #3: cost 0 inf + 421 87.653 * [simplify]: Simplified to (* (* PI n) 2) 87.653 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 87.653 * * * [progress]: adding candidates to table 91.233 * * [progress]: iteration 4 / 4 91.233 * * * [progress]: picking best candidate 91.262 * * * * [pick]: Picked # 91.262 * * * [progress]: localizing error 91.348 * * * [progress]: generating rewritten candidates 91.348 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 91.378 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 91.389 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 91.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 91.564 * * * [progress]: generating series expansions 91.564 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 91.565 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 91.565 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 91.565 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 91.565 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 91.565 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 91.566 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 91.566 * [taylor]: Taking taylor expansion of 1/4 in k 91.566 * [backup-simplify]: Simplify 1/4 into 1/4 91.566 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.566 * [taylor]: Taking taylor expansion of 1 in k 91.566 * [backup-simplify]: Simplify 1 into 1 91.566 * [taylor]: Taking taylor expansion of k in k 91.566 * [backup-simplify]: Simplify 0 into 0 91.566 * [backup-simplify]: Simplify 1 into 1 91.566 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 91.566 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 91.566 * [taylor]: Taking taylor expansion of 2 in k 91.566 * [backup-simplify]: Simplify 2 into 2 91.566 * [taylor]: Taking taylor expansion of (* n PI) in k 91.566 * [taylor]: Taking taylor expansion of n in k 91.566 * [backup-simplify]: Simplify n into n 91.566 * [taylor]: Taking taylor expansion of PI in k 91.566 * [backup-simplify]: Simplify PI into PI 91.566 * [backup-simplify]: Simplify (* n PI) into (* n PI) 91.566 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 91.566 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 91.567 * [backup-simplify]: Simplify (- 0) into 0 91.567 * [backup-simplify]: Simplify (+ 1 0) into 1 91.567 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 91.568 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 91.568 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 91.568 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 91.568 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 91.568 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 91.568 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.568 * [taylor]: Taking taylor expansion of 1/4 in n 91.568 * [backup-simplify]: Simplify 1/4 into 1/4 91.568 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.568 * [taylor]: Taking taylor expansion of 1 in n 91.568 * [backup-simplify]: Simplify 1 into 1 91.568 * [taylor]: Taking taylor expansion of k in n 91.568 * [backup-simplify]: Simplify k into k 91.568 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 91.568 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 91.568 * [taylor]: Taking taylor expansion of 2 in n 91.568 * [backup-simplify]: Simplify 2 into 2 91.568 * [taylor]: Taking taylor expansion of (* n PI) in n 91.568 * [taylor]: Taking taylor expansion of n in n 91.568 * [backup-simplify]: Simplify 0 into 0 91.568 * [backup-simplify]: Simplify 1 into 1 91.568 * [taylor]: Taking taylor expansion of PI in n 91.568 * [backup-simplify]: Simplify PI into PI 91.569 * [backup-simplify]: Simplify (* 0 PI) into 0 91.569 * [backup-simplify]: Simplify (* 2 0) into 0 91.571 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 91.572 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 91.573 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.573 * [backup-simplify]: Simplify (- k) into (- k) 91.574 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.574 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.576 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 91.577 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 91.577 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 91.577 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 91.577 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 91.577 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.577 * [taylor]: Taking taylor expansion of 1/4 in n 91.577 * [backup-simplify]: Simplify 1/4 into 1/4 91.577 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.577 * [taylor]: Taking taylor expansion of 1 in n 91.577 * [backup-simplify]: Simplify 1 into 1 91.577 * [taylor]: Taking taylor expansion of k in n 91.577 * [backup-simplify]: Simplify k into k 91.578 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 91.578 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 91.578 * [taylor]: Taking taylor expansion of 2 in n 91.578 * [backup-simplify]: Simplify 2 into 2 91.578 * [taylor]: Taking taylor expansion of (* n PI) in n 91.578 * [taylor]: Taking taylor expansion of n in n 91.578 * [backup-simplify]: Simplify 0 into 0 91.578 * [backup-simplify]: Simplify 1 into 1 91.578 * [taylor]: Taking taylor expansion of PI in n 91.578 * [backup-simplify]: Simplify PI into PI 91.578 * [backup-simplify]: Simplify (* 0 PI) into 0 91.579 * [backup-simplify]: Simplify (* 2 0) into 0 91.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 91.582 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 91.583 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.583 * [backup-simplify]: Simplify (- k) into (- k) 91.583 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.584 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.585 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.586 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 91.587 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 91.587 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 91.587 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 91.587 * [taylor]: Taking taylor expansion of 1/4 in k 91.587 * [backup-simplify]: Simplify 1/4 into 1/4 91.587 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 91.587 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.587 * [taylor]: Taking taylor expansion of 1 in k 91.587 * [backup-simplify]: Simplify 1 into 1 91.587 * [taylor]: Taking taylor expansion of k in k 91.587 * [backup-simplify]: Simplify 0 into 0 91.587 * [backup-simplify]: Simplify 1 into 1 91.587 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 91.588 * [taylor]: Taking taylor expansion of (log n) in k 91.588 * [taylor]: Taking taylor expansion of n in k 91.588 * [backup-simplify]: Simplify n into n 91.588 * [backup-simplify]: Simplify (log n) into (log n) 91.588 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 91.588 * [taylor]: Taking taylor expansion of (* 2 PI) in k 91.588 * [taylor]: Taking taylor expansion of 2 in k 91.588 * [backup-simplify]: Simplify 2 into 2 91.588 * [taylor]: Taking taylor expansion of PI in k 91.588 * [backup-simplify]: Simplify PI into PI 91.588 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.589 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.590 * [backup-simplify]: Simplify (- 0) into 0 91.590 * [backup-simplify]: Simplify (+ 1 0) into 1 91.591 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.592 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 91.593 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 91.594 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 91.596 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 91.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 91.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 91.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 91.600 * [backup-simplify]: Simplify (- 0) into 0 91.600 * [backup-simplify]: Simplify (+ 0 0) into 0 91.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 91.602 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.604 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 91.605 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.606 * [taylor]: Taking taylor expansion of 0 in k 91.606 * [backup-simplify]: Simplify 0 into 0 91.606 * [backup-simplify]: Simplify 0 into 0 91.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 91.607 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 91.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 91.609 * [backup-simplify]: Simplify (+ 0 0) into 0 91.610 * [backup-simplify]: Simplify (- 1) into -1 91.610 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.611 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 91.613 * [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))))) 91.616 * [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))))))) 91.619 * [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))))))) 91.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 91.622 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 91.625 * [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 91.625 * [backup-simplify]: Simplify (- 0) into 0 91.626 * [backup-simplify]: Simplify (+ 0 0) into 0 91.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 91.628 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.629 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 91.632 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.632 * [taylor]: Taking taylor expansion of 0 in k 91.632 * [backup-simplify]: Simplify 0 into 0 91.632 * [backup-simplify]: Simplify 0 into 0 91.632 * [backup-simplify]: Simplify 0 into 0 91.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 91.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 91.638 * [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 91.638 * [backup-simplify]: Simplify (+ 0 0) into 0 91.638 * [backup-simplify]: Simplify (- 0) into 0 91.639 * [backup-simplify]: Simplify (+ 0 0) into 0 91.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 91.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 91.647 * [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))))) 91.652 * [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))))) 91.662 * [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))))))) 91.670 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 91.670 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 91.670 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 91.670 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 91.670 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 91.670 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 91.670 * [taylor]: Taking taylor expansion of 1/4 in k 91.670 * [backup-simplify]: Simplify 1/4 into 1/4 91.670 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 91.670 * [taylor]: Taking taylor expansion of 1 in k 91.670 * [backup-simplify]: Simplify 1 into 1 91.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.670 * [taylor]: Taking taylor expansion of k in k 91.670 * [backup-simplify]: Simplify 0 into 0 91.670 * [backup-simplify]: Simplify 1 into 1 91.671 * [backup-simplify]: Simplify (/ 1 1) into 1 91.671 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 91.671 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 91.671 * [taylor]: Taking taylor expansion of 2 in k 91.671 * [backup-simplify]: Simplify 2 into 2 91.671 * [taylor]: Taking taylor expansion of (/ PI n) in k 91.671 * [taylor]: Taking taylor expansion of PI in k 91.671 * [backup-simplify]: Simplify PI into PI 91.671 * [taylor]: Taking taylor expansion of n in k 91.671 * [backup-simplify]: Simplify n into n 91.671 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 91.671 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 91.671 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 91.672 * [backup-simplify]: Simplify (- 1) into -1 91.672 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.672 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 91.673 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 91.673 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 91.673 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 91.673 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 91.673 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 91.673 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 91.673 * [taylor]: Taking taylor expansion of 1/4 in n 91.673 * [backup-simplify]: Simplify 1/4 into 1/4 91.673 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 91.673 * [taylor]: Taking taylor expansion of 1 in n 91.673 * [backup-simplify]: Simplify 1 into 1 91.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.673 * [taylor]: Taking taylor expansion of k in n 91.673 * [backup-simplify]: Simplify k into k 91.673 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.673 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 91.673 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 91.673 * [taylor]: Taking taylor expansion of 2 in n 91.673 * [backup-simplify]: Simplify 2 into 2 91.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.673 * [taylor]: Taking taylor expansion of PI in n 91.673 * [backup-simplify]: Simplify PI into PI 91.673 * [taylor]: Taking taylor expansion of n in n 91.673 * [backup-simplify]: Simplify 0 into 0 91.673 * [backup-simplify]: Simplify 1 into 1 91.674 * [backup-simplify]: Simplify (/ PI 1) into PI 91.674 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.675 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.675 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 91.675 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 91.676 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 91.677 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 91.678 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 91.679 * [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))))) 91.679 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 91.679 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 91.679 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 91.679 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 91.679 * [taylor]: Taking taylor expansion of 1/4 in n 91.679 * [backup-simplify]: Simplify 1/4 into 1/4 91.679 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 91.679 * [taylor]: Taking taylor expansion of 1 in n 91.679 * [backup-simplify]: Simplify 1 into 1 91.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.679 * [taylor]: Taking taylor expansion of k in n 91.679 * [backup-simplify]: Simplify k into k 91.679 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.679 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 91.679 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 91.680 * [taylor]: Taking taylor expansion of 2 in n 91.680 * [backup-simplify]: Simplify 2 into 2 91.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.680 * [taylor]: Taking taylor expansion of PI in n 91.680 * [backup-simplify]: Simplify PI into PI 91.680 * [taylor]: Taking taylor expansion of n in n 91.680 * [backup-simplify]: Simplify 0 into 0 91.680 * [backup-simplify]: Simplify 1 into 1 91.680 * [backup-simplify]: Simplify (/ PI 1) into PI 91.681 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.682 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.682 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 91.682 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 91.682 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 91.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 91.684 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 91.685 * [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))))) 91.685 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 91.685 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 91.686 * [taylor]: Taking taylor expansion of 1/4 in k 91.686 * [backup-simplify]: Simplify 1/4 into 1/4 91.686 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 91.686 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 91.686 * [taylor]: Taking taylor expansion of 1 in k 91.686 * [backup-simplify]: Simplify 1 into 1 91.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.686 * [taylor]: Taking taylor expansion of k in k 91.686 * [backup-simplify]: Simplify 0 into 0 91.686 * [backup-simplify]: Simplify 1 into 1 91.686 * [backup-simplify]: Simplify (/ 1 1) into 1 91.686 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 91.686 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 91.686 * [taylor]: Taking taylor expansion of (* 2 PI) in k 91.686 * [taylor]: Taking taylor expansion of 2 in k 91.686 * [backup-simplify]: Simplify 2 into 2 91.686 * [taylor]: Taking taylor expansion of PI in k 91.686 * [backup-simplify]: Simplify PI into PI 91.687 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.688 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.688 * [taylor]: Taking taylor expansion of (log n) in k 91.688 * [taylor]: Taking taylor expansion of n in k 91.688 * [backup-simplify]: Simplify n into n 91.688 * [backup-simplify]: Simplify (log n) into (log n) 91.688 * [backup-simplify]: Simplify (- 1) into -1 91.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.689 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 91.690 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 91.691 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 91.692 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 91.693 * [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))))) 91.694 * [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))))) 91.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 91.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 91.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 91.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 91.698 * [backup-simplify]: Simplify (- 0) into 0 91.699 * [backup-simplify]: Simplify (+ 0 0) into 0 91.699 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 91.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 91.702 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 91.704 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.704 * [taylor]: Taking taylor expansion of 0 in k 91.704 * [backup-simplify]: Simplify 0 into 0 91.704 * [backup-simplify]: Simplify 0 into 0 91.704 * [backup-simplify]: Simplify 0 into 0 91.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 91.710 * [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 91.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.711 * [backup-simplify]: Simplify (- 0) into 0 91.711 * [backup-simplify]: Simplify (+ 0 0) into 0 91.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 91.713 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 91.715 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 91.717 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.717 * [taylor]: Taking taylor expansion of 0 in k 91.717 * [backup-simplify]: Simplify 0 into 0 91.717 * [backup-simplify]: Simplify 0 into 0 91.717 * [backup-simplify]: Simplify 0 into 0 91.717 * [backup-simplify]: Simplify 0 into 0 91.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 91.725 * [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 91.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.726 * [backup-simplify]: Simplify (- 0) into 0 91.727 * [backup-simplify]: Simplify (+ 0 0) into 0 91.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 91.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 91.731 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 91.734 * [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 91.734 * [taylor]: Taking taylor expansion of 0 in k 91.734 * [backup-simplify]: Simplify 0 into 0 91.734 * [backup-simplify]: Simplify 0 into 0 91.735 * [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)))))) 91.736 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 91.736 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 91.736 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 91.736 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 91.736 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 91.736 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 91.736 * [taylor]: Taking taylor expansion of 1/4 in k 91.736 * [backup-simplify]: Simplify 1/4 into 1/4 91.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 91.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.736 * [taylor]: Taking taylor expansion of k in k 91.736 * [backup-simplify]: Simplify 0 into 0 91.736 * [backup-simplify]: Simplify 1 into 1 91.736 * [backup-simplify]: Simplify (/ 1 1) into 1 91.736 * [taylor]: Taking taylor expansion of 1 in k 91.737 * [backup-simplify]: Simplify 1 into 1 91.737 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 91.737 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 91.737 * [taylor]: Taking taylor expansion of -2 in k 91.737 * [backup-simplify]: Simplify -2 into -2 91.737 * [taylor]: Taking taylor expansion of (/ PI n) in k 91.737 * [taylor]: Taking taylor expansion of PI in k 91.737 * [backup-simplify]: Simplify PI into PI 91.737 * [taylor]: Taking taylor expansion of n in k 91.737 * [backup-simplify]: Simplify n into n 91.737 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 91.737 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 91.737 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 91.737 * [backup-simplify]: Simplify (+ 1 0) into 1 91.738 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 91.738 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 91.738 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 91.738 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 91.738 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 91.738 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 91.738 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 91.738 * [taylor]: Taking taylor expansion of 1/4 in n 91.738 * [backup-simplify]: Simplify 1/4 into 1/4 91.738 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 91.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.738 * [taylor]: Taking taylor expansion of k in n 91.738 * [backup-simplify]: Simplify k into k 91.739 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.739 * [taylor]: Taking taylor expansion of 1 in n 91.739 * [backup-simplify]: Simplify 1 into 1 91.739 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 91.739 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 91.739 * [taylor]: Taking taylor expansion of -2 in n 91.739 * [backup-simplify]: Simplify -2 into -2 91.739 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.739 * [taylor]: Taking taylor expansion of PI in n 91.739 * [backup-simplify]: Simplify PI into PI 91.739 * [taylor]: Taking taylor expansion of n in n 91.739 * [backup-simplify]: Simplify 0 into 0 91.739 * [backup-simplify]: Simplify 1 into 1 91.739 * [backup-simplify]: Simplify (/ PI 1) into PI 91.740 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 91.741 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 91.741 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 91.741 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 91.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 91.743 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 91.745 * [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))))) 91.745 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 91.745 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 91.745 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 91.745 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 91.745 * [taylor]: Taking taylor expansion of 1/4 in n 91.745 * [backup-simplify]: Simplify 1/4 into 1/4 91.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 91.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.745 * [taylor]: Taking taylor expansion of k in n 91.745 * [backup-simplify]: Simplify k into k 91.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.745 * [taylor]: Taking taylor expansion of 1 in n 91.745 * [backup-simplify]: Simplify 1 into 1 91.745 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 91.745 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 91.745 * [taylor]: Taking taylor expansion of -2 in n 91.745 * [backup-simplify]: Simplify -2 into -2 91.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.745 * [taylor]: Taking taylor expansion of PI in n 91.745 * [backup-simplify]: Simplify PI into PI 91.745 * [taylor]: Taking taylor expansion of n in n 91.745 * [backup-simplify]: Simplify 0 into 0 91.745 * [backup-simplify]: Simplify 1 into 1 91.746 * [backup-simplify]: Simplify (/ PI 1) into PI 91.746 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 91.747 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 91.747 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 91.748 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 91.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 91.750 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 91.751 * [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))))) 91.751 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 91.751 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 91.751 * [taylor]: Taking taylor expansion of 1/4 in k 91.751 * [backup-simplify]: Simplify 1/4 into 1/4 91.751 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 91.751 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 91.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.751 * [taylor]: Taking taylor expansion of k in k 91.751 * [backup-simplify]: Simplify 0 into 0 91.752 * [backup-simplify]: Simplify 1 into 1 91.752 * [backup-simplify]: Simplify (/ 1 1) into 1 91.752 * [taylor]: Taking taylor expansion of 1 in k 91.752 * [backup-simplify]: Simplify 1 into 1 91.752 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 91.752 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 91.752 * [taylor]: Taking taylor expansion of (* -2 PI) in k 91.752 * [taylor]: Taking taylor expansion of -2 in k 91.752 * [backup-simplify]: Simplify -2 into -2 91.752 * [taylor]: Taking taylor expansion of PI in k 91.752 * [backup-simplify]: Simplify PI into PI 91.753 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 91.753 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 91.754 * [taylor]: Taking taylor expansion of (log n) in k 91.754 * [taylor]: Taking taylor expansion of n in k 91.754 * [backup-simplify]: Simplify n into n 91.754 * [backup-simplify]: Simplify (log n) into (log n) 91.754 * [backup-simplify]: Simplify (+ 1 0) into 1 91.754 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 91.755 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 91.756 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 91.757 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 91.758 * [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))))) 91.759 * [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))))) 91.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 91.761 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 91.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 91.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 91.764 * [backup-simplify]: Simplify (+ 0 0) into 0 91.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 91.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 91.767 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 91.769 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.769 * [taylor]: Taking taylor expansion of 0 in k 91.769 * [backup-simplify]: Simplify 0 into 0 91.769 * [backup-simplify]: Simplify 0 into 0 91.769 * [backup-simplify]: Simplify 0 into 0 91.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.771 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 91.775 * [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 91.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.775 * [backup-simplify]: Simplify (+ 0 0) into 0 91.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 91.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 91.778 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 91.780 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.780 * [taylor]: Taking taylor expansion of 0 in k 91.780 * [backup-simplify]: Simplify 0 into 0 91.780 * [backup-simplify]: Simplify 0 into 0 91.780 * [backup-simplify]: Simplify 0 into 0 91.780 * [backup-simplify]: Simplify 0 into 0 91.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.781 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 91.784 * [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 91.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.785 * [backup-simplify]: Simplify (+ 0 0) into 0 91.786 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 91.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 91.788 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 91.789 * [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 91.789 * [taylor]: Taking taylor expansion of 0 in k 91.789 * [backup-simplify]: Simplify 0 into 0 91.789 * [backup-simplify]: Simplify 0 into 0 91.790 * [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)))))) 91.790 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 91.790 * [backup-simplify]: Simplify (pow n (/ (/ (- 1 k) 2) 2)) into (pow n (* 1/4 (- 1 k))) 91.790 * [approximate]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in (n k) around 0 91.790 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in k 91.790 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in k 91.790 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in k 91.790 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 91.790 * [taylor]: Taking taylor expansion of 1/4 in k 91.790 * [backup-simplify]: Simplify 1/4 into 1/4 91.790 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.790 * [taylor]: Taking taylor expansion of 1 in k 91.790 * [backup-simplify]: Simplify 1 into 1 91.790 * [taylor]: Taking taylor expansion of k in k 91.790 * [backup-simplify]: Simplify 0 into 0 91.790 * [backup-simplify]: Simplify 1 into 1 91.790 * [taylor]: Taking taylor expansion of (log n) in k 91.790 * [taylor]: Taking taylor expansion of n in k 91.790 * [backup-simplify]: Simplify n into n 91.790 * [backup-simplify]: Simplify (log n) into (log n) 91.791 * [backup-simplify]: Simplify (- 0) into 0 91.791 * [backup-simplify]: Simplify (+ 1 0) into 1 91.791 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 91.791 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 91.791 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 91.791 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 91.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 91.791 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 91.791 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.791 * [taylor]: Taking taylor expansion of 1/4 in n 91.791 * [backup-simplify]: Simplify 1/4 into 1/4 91.791 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.791 * [taylor]: Taking taylor expansion of 1 in n 91.791 * [backup-simplify]: Simplify 1 into 1 91.791 * [taylor]: Taking taylor expansion of k in n 91.791 * [backup-simplify]: Simplify k into k 91.792 * [taylor]: Taking taylor expansion of (log n) in n 91.792 * [taylor]: Taking taylor expansion of n in n 91.792 * [backup-simplify]: Simplify 0 into 0 91.792 * [backup-simplify]: Simplify 1 into 1 91.792 * [backup-simplify]: Simplify (log 1) into 0 91.792 * [backup-simplify]: Simplify (- k) into (- k) 91.792 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.792 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.792 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 91.792 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 91.792 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 91.792 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 91.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 91.792 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 91.792 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.792 * [taylor]: Taking taylor expansion of 1/4 in n 91.792 * [backup-simplify]: Simplify 1/4 into 1/4 91.792 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.792 * [taylor]: Taking taylor expansion of 1 in n 91.792 * [backup-simplify]: Simplify 1 into 1 91.792 * [taylor]: Taking taylor expansion of k in n 91.792 * [backup-simplify]: Simplify k into k 91.792 * [taylor]: Taking taylor expansion of (log n) in n 91.793 * [taylor]: Taking taylor expansion of n in n 91.793 * [backup-simplify]: Simplify 0 into 0 91.793 * [backup-simplify]: Simplify 1 into 1 91.793 * [backup-simplify]: Simplify (log 1) into 0 91.793 * [backup-simplify]: Simplify (- k) into (- k) 91.793 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.793 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.793 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 91.793 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 91.793 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 91.793 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (log n)))) in k 91.793 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (log n))) in k 91.793 * [taylor]: Taking taylor expansion of 1/4 in k 91.793 * [backup-simplify]: Simplify 1/4 into 1/4 91.793 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 91.793 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.793 * [taylor]: Taking taylor expansion of 1 in k 91.793 * [backup-simplify]: Simplify 1 into 1 91.793 * [taylor]: Taking taylor expansion of k in k 91.794 * [backup-simplify]: Simplify 0 into 0 91.794 * [backup-simplify]: Simplify 1 into 1 91.794 * [taylor]: Taking taylor expansion of (log n) in k 91.794 * [taylor]: Taking taylor expansion of n in k 91.794 * [backup-simplify]: Simplify n into n 91.794 * [backup-simplify]: Simplify (log n) into (log n) 91.794 * [backup-simplify]: Simplify (- 0) into 0 91.794 * [backup-simplify]: Simplify (+ 1 0) into 1 91.794 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 91.794 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 91.794 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 91.794 * [backup-simplify]: Simplify (pow n 1/4) into (pow n 1/4) 91.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 91.795 * [backup-simplify]: Simplify (- 0) into 0 91.796 * [backup-simplify]: Simplify (+ 0 0) into 0 91.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 91.796 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 91.796 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (log n))) into 0 91.797 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 91.797 * [taylor]: Taking taylor expansion of 0 in k 91.797 * [backup-simplify]: Simplify 0 into 0 91.797 * [backup-simplify]: Simplify 0 into 0 91.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 91.797 * [backup-simplify]: Simplify (- 1) into -1 91.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.802 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 91.802 * [backup-simplify]: Simplify (+ (* 1/4 (- (log n))) (* 0 (log n))) into (- (* 1/4 (log n))) 91.802 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 1) 1)))) into (* -1/4 (* (pow n 1/4) (log n))) 91.802 * [backup-simplify]: Simplify (* -1/4 (* (pow n 1/4) (log n))) into (* -1/4 (* (pow n 1/4) (log n))) 91.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 91.804 * [backup-simplify]: Simplify (- 0) into 0 91.804 * [backup-simplify]: Simplify (+ 0 0) into 0 91.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 91.805 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 91.805 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 91.807 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.807 * [taylor]: Taking taylor expansion of 0 in k 91.807 * [backup-simplify]: Simplify 0 into 0 91.807 * [backup-simplify]: Simplify 0 into 0 91.807 * [backup-simplify]: Simplify 0 into 0 91.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 91.809 * [backup-simplify]: Simplify (- 0) into 0 91.809 * [backup-simplify]: Simplify (+ 0 0) into 0 91.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 91.811 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 91.812 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow n 1/4) (pow (log n) 2))) 91.812 * [backup-simplify]: Simplify (* 1/32 (* (pow n 1/4) (pow (log n) 2))) into (* 1/32 (* (pow n 1/4) (pow (log n) 2))) 91.812 * [backup-simplify]: Simplify (+ (* (* 1/32 (* (pow n 1/4) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/4 (* (pow n 1/4) (log n))) (* k 1)) (pow n 1/4))) into (- (+ (pow n 1/4) (* 1/32 (* (pow n 1/4) (* (pow (log n) 2) (pow k 2))))) (* 1/4 (* (pow n 1/4) (* (log n) k)))) 91.813 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) 91.813 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 91.813 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in k 91.813 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 91.813 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in k 91.813 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 91.813 * [taylor]: Taking taylor expansion of 1/4 in k 91.813 * [backup-simplify]: Simplify 1/4 into 1/4 91.813 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 91.813 * [taylor]: Taking taylor expansion of 1 in k 91.813 * [backup-simplify]: Simplify 1 into 1 91.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.813 * [taylor]: Taking taylor expansion of k in k 91.813 * [backup-simplify]: Simplify 0 into 0 91.813 * [backup-simplify]: Simplify 1 into 1 91.814 * [backup-simplify]: Simplify (/ 1 1) into 1 91.814 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 91.814 * [taylor]: Taking taylor expansion of (/ 1 n) in k 91.814 * [taylor]: Taking taylor expansion of n in k 91.814 * [backup-simplify]: Simplify n into n 91.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 91.814 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 91.814 * [backup-simplify]: Simplify (- 1) into -1 91.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.815 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 91.815 * [backup-simplify]: Simplify (* -1/4 (log (/ 1 n))) into (* -1/4 (log (/ 1 n))) 91.816 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 91.816 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 91.816 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 91.816 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 91.816 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 91.816 * [taylor]: Taking taylor expansion of 1/4 in n 91.816 * [backup-simplify]: Simplify 1/4 into 1/4 91.816 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 91.816 * [taylor]: Taking taylor expansion of 1 in n 91.816 * [backup-simplify]: Simplify 1 into 1 91.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.816 * [taylor]: Taking taylor expansion of k in n 91.816 * [backup-simplify]: Simplify k into k 91.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.816 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 91.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n 91.816 * [taylor]: Taking taylor expansion of n in n 91.816 * [backup-simplify]: Simplify 0 into 0 91.816 * [backup-simplify]: Simplify 1 into 1 91.817 * [backup-simplify]: Simplify (/ 1 1) into 1 91.817 * [backup-simplify]: Simplify (log 1) into 0 91.817 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 91.817 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 91.817 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 91.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 91.818 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 91.818 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 91.818 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 91.818 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 91.818 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 91.818 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 91.818 * [taylor]: Taking taylor expansion of 1/4 in n 91.818 * [backup-simplify]: Simplify 1/4 into 1/4 91.818 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 91.818 * [taylor]: Taking taylor expansion of 1 in n 91.818 * [backup-simplify]: Simplify 1 into 1 91.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.818 * [taylor]: Taking taylor expansion of k in n 91.818 * [backup-simplify]: Simplify k into k 91.818 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.818 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 91.818 * [taylor]: Taking taylor expansion of (/ 1 n) in n 91.818 * [taylor]: Taking taylor expansion of n in n 91.818 * [backup-simplify]: Simplify 0 into 0 91.818 * [backup-simplify]: Simplify 1 into 1 91.819 * [backup-simplify]: Simplify (/ 1 1) into 1 91.819 * [backup-simplify]: Simplify (log 1) into 0 91.819 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 91.819 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 91.820 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 91.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 91.820 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 91.820 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 91.820 * [taylor]: Taking taylor expansion of (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) in k 91.820 * [taylor]: Taking taylor expansion of (* -1/4 (* (- 1 (/ 1 k)) (log n))) in k 91.820 * [taylor]: Taking taylor expansion of -1/4 in k 91.820 * [backup-simplify]: Simplify -1/4 into -1/4 91.820 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 91.821 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 91.821 * [taylor]: Taking taylor expansion of 1 in k 91.821 * [backup-simplify]: Simplify 1 into 1 91.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.821 * [taylor]: Taking taylor expansion of k in k 91.821 * [backup-simplify]: Simplify 0 into 0 91.821 * [backup-simplify]: Simplify 1 into 1 91.821 * [backup-simplify]: Simplify (/ 1 1) into 1 91.821 * [taylor]: Taking taylor expansion of (log n) in k 91.821 * [taylor]: Taking taylor expansion of n in k 91.821 * [backup-simplify]: Simplify n into n 91.821 * [backup-simplify]: Simplify (log n) into (log n) 91.822 * [backup-simplify]: Simplify (- 1) into -1 91.822 * [backup-simplify]: Simplify (+ 0 -1) into -1 91.822 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 91.822 * [backup-simplify]: Simplify (* -1/4 (* -1 (log n))) into (* 1/4 (log n)) 91.822 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 91.822 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 91.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 91.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 91.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 91.825 * [backup-simplify]: Simplify (- 0) into 0 91.826 * [backup-simplify]: Simplify (+ 0 0) into 0 91.826 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 91.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 91.827 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 91.828 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 91.828 * [taylor]: Taking taylor expansion of 0 in k 91.828 * [backup-simplify]: Simplify 0 into 0 91.828 * [backup-simplify]: Simplify 0 into 0 91.828 * [backup-simplify]: Simplify 0 into 0 91.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 91.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.833 * [backup-simplify]: Simplify (- 0) into 0 91.833 * [backup-simplify]: Simplify (+ 0 0) into 0 91.834 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 91.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 91.835 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 91.836 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.837 * [taylor]: Taking taylor expansion of 0 in k 91.837 * [backup-simplify]: Simplify 0 into 0 91.837 * [backup-simplify]: Simplify 0 into 0 91.837 * [backup-simplify]: Simplify 0 into 0 91.837 * [backup-simplify]: Simplify 0 into 0 91.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.843 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 91.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.844 * [backup-simplify]: Simplify (- 0) into 0 91.844 * [backup-simplify]: Simplify (+ 0 0) into 0 91.845 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 91.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 91.847 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 91.848 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 91.848 * [taylor]: Taking taylor expansion of 0 in k 91.848 * [backup-simplify]: Simplify 0 into 0 91.849 * [backup-simplify]: Simplify 0 into 0 91.849 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) 91.849 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) 91.849 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 91.849 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in k 91.849 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 91.849 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 91.849 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 91.849 * [taylor]: Taking taylor expansion of 1/4 in k 91.849 * [backup-simplify]: Simplify 1/4 into 1/4 91.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 91.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.849 * [taylor]: Taking taylor expansion of k in k 91.849 * [backup-simplify]: Simplify 0 into 0 91.849 * [backup-simplify]: Simplify 1 into 1 91.850 * [backup-simplify]: Simplify (/ 1 1) into 1 91.850 * [taylor]: Taking taylor expansion of 1 in k 91.850 * [backup-simplify]: Simplify 1 into 1 91.850 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 91.850 * [taylor]: Taking taylor expansion of (/ -1 n) in k 91.850 * [taylor]: Taking taylor expansion of -1 in k 91.850 * [backup-simplify]: Simplify -1 into -1 91.850 * [taylor]: Taking taylor expansion of n in k 91.850 * [backup-simplify]: Simplify n into n 91.850 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 91.850 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 91.851 * [backup-simplify]: Simplify (+ 1 0) into 1 91.851 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 91.851 * [backup-simplify]: Simplify (* 1/4 (log (/ -1 n))) into (* 1/4 (log (/ -1 n))) 91.851 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 91.851 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 91.851 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 91.851 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 91.851 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 91.851 * [taylor]: Taking taylor expansion of 1/4 in n 91.851 * [backup-simplify]: Simplify 1/4 into 1/4 91.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 91.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.851 * [taylor]: Taking taylor expansion of k in n 91.852 * [backup-simplify]: Simplify k into k 91.852 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.852 * [taylor]: Taking taylor expansion of 1 in n 91.852 * [backup-simplify]: Simplify 1 into 1 91.852 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 91.852 * [taylor]: Taking taylor expansion of (/ -1 n) in n 91.852 * [taylor]: Taking taylor expansion of -1 in n 91.852 * [backup-simplify]: Simplify -1 into -1 91.852 * [taylor]: Taking taylor expansion of n in n 91.852 * [backup-simplify]: Simplify 0 into 0 91.852 * [backup-simplify]: Simplify 1 into 1 91.852 * [backup-simplify]: Simplify (/ -1 1) into -1 91.853 * [backup-simplify]: Simplify (log -1) into (log -1) 91.853 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 91.853 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 91.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 91.854 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 91.855 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 91.855 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 91.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 91.855 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 91.855 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 91.855 * [taylor]: Taking taylor expansion of 1/4 in n 91.855 * [backup-simplify]: Simplify 1/4 into 1/4 91.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 91.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 91.855 * [taylor]: Taking taylor expansion of k in n 91.855 * [backup-simplify]: Simplify k into k 91.855 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 91.855 * [taylor]: Taking taylor expansion of 1 in n 91.855 * [backup-simplify]: Simplify 1 into 1 91.855 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 91.855 * [taylor]: Taking taylor expansion of (/ -1 n) in n 91.855 * [taylor]: Taking taylor expansion of -1 in n 91.855 * [backup-simplify]: Simplify -1 into -1 91.855 * [taylor]: Taking taylor expansion of n in n 91.855 * [backup-simplify]: Simplify 0 into 0 91.855 * [backup-simplify]: Simplify 1 into 1 91.856 * [backup-simplify]: Simplify (/ -1 1) into -1 91.856 * [backup-simplify]: Simplify (log -1) into (log -1) 91.856 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 91.856 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 91.857 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 91.858 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 91.858 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 91.858 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 91.858 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 91.858 * [taylor]: Taking taylor expansion of 1/4 in k 91.858 * [backup-simplify]: Simplify 1/4 into 1/4 91.858 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 91.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 91.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 91.858 * [taylor]: Taking taylor expansion of k in k 91.859 * [backup-simplify]: Simplify 0 into 0 91.859 * [backup-simplify]: Simplify 1 into 1 91.859 * [backup-simplify]: Simplify (/ 1 1) into 1 91.859 * [taylor]: Taking taylor expansion of 1 in k 91.859 * [backup-simplify]: Simplify 1 into 1 91.859 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 91.859 * [taylor]: Taking taylor expansion of (log -1) in k 91.859 * [taylor]: Taking taylor expansion of -1 in k 91.859 * [backup-simplify]: Simplify -1 into -1 91.859 * [backup-simplify]: Simplify (log -1) into (log -1) 91.859 * [taylor]: Taking taylor expansion of (log n) in k 91.860 * [taylor]: Taking taylor expansion of n in k 91.860 * [backup-simplify]: Simplify n into n 91.860 * [backup-simplify]: Simplify (log n) into (log n) 91.860 * [backup-simplify]: Simplify (+ 1 0) into 1 91.860 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 91.861 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 91.861 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 91.861 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log n))) into (* 1/4 (- (log -1) (log n))) 91.862 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 91.862 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 91.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 91.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 91.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 91.866 * [backup-simplify]: Simplify (+ 0 0) into 0 91.866 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 91.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 91.868 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 91.869 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 91.869 * [taylor]: Taking taylor expansion of 0 in k 91.869 * [backup-simplify]: Simplify 0 into 0 91.869 * [backup-simplify]: Simplify 0 into 0 91.869 * [backup-simplify]: Simplify 0 into 0 91.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 91.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.874 * [backup-simplify]: Simplify (+ 0 0) into 0 91.875 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 91.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 91.877 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 91.878 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 91.879 * [taylor]: Taking taylor expansion of 0 in k 91.879 * [backup-simplify]: Simplify 0 into 0 91.879 * [backup-simplify]: Simplify 0 into 0 91.879 * [backup-simplify]: Simplify 0 into 0 91.879 * [backup-simplify]: Simplify 0 into 0 91.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.885 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 91.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 91.886 * [backup-simplify]: Simplify (+ 0 0) into 0 91.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 91.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 91.889 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 91.892 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 91.892 * [taylor]: Taking taylor expansion of 0 in k 91.892 * [backup-simplify]: Simplify 0 into 0 91.892 * [backup-simplify]: Simplify 0 into 0 91.892 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 91.892 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 91.893 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 91.893 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 91.893 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 91.893 * [taylor]: Taking taylor expansion of 2 in n 91.893 * [backup-simplify]: Simplify 2 into 2 91.893 * [taylor]: Taking taylor expansion of (* n PI) in n 91.893 * [taylor]: Taking taylor expansion of n in n 91.893 * [backup-simplify]: Simplify 0 into 0 91.893 * [backup-simplify]: Simplify 1 into 1 91.893 * [taylor]: Taking taylor expansion of PI in n 91.893 * [backup-simplify]: Simplify PI into PI 91.893 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 91.893 * [taylor]: Taking taylor expansion of 2 in n 91.893 * [backup-simplify]: Simplify 2 into 2 91.893 * [taylor]: Taking taylor expansion of (* n PI) in n 91.893 * [taylor]: Taking taylor expansion of n in n 91.893 * [backup-simplify]: Simplify 0 into 0 91.893 * [backup-simplify]: Simplify 1 into 1 91.893 * [taylor]: Taking taylor expansion of PI in n 91.893 * [backup-simplify]: Simplify PI into PI 91.894 * [backup-simplify]: Simplify (* 0 PI) into 0 91.894 * [backup-simplify]: Simplify (* 2 0) into 0 91.894 * [backup-simplify]: Simplify 0 into 0 91.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 91.897 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 91.898 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 91.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 91.900 * [backup-simplify]: Simplify 0 into 0 91.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 91.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 91.903 * [backup-simplify]: Simplify 0 into 0 91.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 91.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 91.905 * [backup-simplify]: Simplify 0 into 0 91.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 91.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 91.909 * [backup-simplify]: Simplify 0 into 0 91.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 91.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 91.912 * [backup-simplify]: Simplify 0 into 0 91.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 91.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 91.916 * [backup-simplify]: Simplify 0 into 0 91.917 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 91.917 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 91.917 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 91.917 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 91.917 * [taylor]: Taking taylor expansion of 2 in n 91.917 * [backup-simplify]: Simplify 2 into 2 91.917 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.917 * [taylor]: Taking taylor expansion of PI in n 91.917 * [backup-simplify]: Simplify PI into PI 91.917 * [taylor]: Taking taylor expansion of n in n 91.917 * [backup-simplify]: Simplify 0 into 0 91.917 * [backup-simplify]: Simplify 1 into 1 91.918 * [backup-simplify]: Simplify (/ PI 1) into PI 91.918 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 91.918 * [taylor]: Taking taylor expansion of 2 in n 91.918 * [backup-simplify]: Simplify 2 into 2 91.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.918 * [taylor]: Taking taylor expansion of PI in n 91.918 * [backup-simplify]: Simplify PI into PI 91.918 * [taylor]: Taking taylor expansion of n in n 91.918 * [backup-simplify]: Simplify 0 into 0 91.918 * [backup-simplify]: Simplify 1 into 1 91.919 * [backup-simplify]: Simplify (/ PI 1) into PI 91.919 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.919 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 91.921 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 91.921 * [backup-simplify]: Simplify 0 into 0 91.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 91.923 * [backup-simplify]: Simplify 0 into 0 91.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 91.926 * [backup-simplify]: Simplify 0 into 0 91.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 91.928 * [backup-simplify]: Simplify 0 into 0 91.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 91.931 * [backup-simplify]: Simplify 0 into 0 91.932 * [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 91.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 91.933 * [backup-simplify]: Simplify 0 into 0 91.934 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 91.935 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 91.935 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 91.935 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 91.935 * [taylor]: Taking taylor expansion of -2 in n 91.935 * [backup-simplify]: Simplify -2 into -2 91.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.935 * [taylor]: Taking taylor expansion of PI in n 91.935 * [backup-simplify]: Simplify PI into PI 91.935 * [taylor]: Taking taylor expansion of n in n 91.935 * [backup-simplify]: Simplify 0 into 0 91.935 * [backup-simplify]: Simplify 1 into 1 91.935 * [backup-simplify]: Simplify (/ PI 1) into PI 91.935 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 91.935 * [taylor]: Taking taylor expansion of -2 in n 91.935 * [backup-simplify]: Simplify -2 into -2 91.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 91.935 * [taylor]: Taking taylor expansion of PI in n 91.935 * [backup-simplify]: Simplify PI into PI 91.935 * [taylor]: Taking taylor expansion of n in n 91.935 * [backup-simplify]: Simplify 0 into 0 91.936 * [backup-simplify]: Simplify 1 into 1 91.936 * [backup-simplify]: Simplify (/ PI 1) into PI 91.936 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 91.937 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 91.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 91.939 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 91.939 * [backup-simplify]: Simplify 0 into 0 91.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.941 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 91.941 * [backup-simplify]: Simplify 0 into 0 91.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.943 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 91.943 * [backup-simplify]: Simplify 0 into 0 91.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.945 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 91.945 * [backup-simplify]: Simplify 0 into 0 91.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 91.948 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 91.948 * [backup-simplify]: Simplify 0 into 0 91.954 * [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 91.955 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 91.955 * [backup-simplify]: Simplify 0 into 0 91.956 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 91.956 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 91.956 * [backup-simplify]: Simplify (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) into (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) 91.957 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in (n k) around 0 91.957 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in k 91.957 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 91.957 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 91.957 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 91.957 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 91.957 * [taylor]: Taking taylor expansion of 1/4 in k 91.957 * [backup-simplify]: Simplify 1/4 into 1/4 91.957 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.957 * [taylor]: Taking taylor expansion of 1 in k 91.957 * [backup-simplify]: Simplify 1 into 1 91.957 * [taylor]: Taking taylor expansion of k in k 91.957 * [backup-simplify]: Simplify 0 into 0 91.957 * [backup-simplify]: Simplify 1 into 1 91.957 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 91.957 * [taylor]: Taking taylor expansion of (* 2 PI) in k 91.957 * [taylor]: Taking taylor expansion of 2 in k 91.957 * [backup-simplify]: Simplify 2 into 2 91.957 * [taylor]: Taking taylor expansion of PI in k 91.957 * [backup-simplify]: Simplify PI into PI 91.957 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.958 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.958 * [backup-simplify]: Simplify (- 0) into 0 91.958 * [backup-simplify]: Simplify (+ 1 0) into 1 91.958 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 91.959 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 91.961 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 91.961 * [taylor]: Taking taylor expansion of (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))) in k 91.961 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in k 91.961 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in k 91.961 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in k 91.961 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 91.961 * [taylor]: Taking taylor expansion of 1/4 in k 91.961 * [backup-simplify]: Simplify 1/4 into 1/4 91.961 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.961 * [taylor]: Taking taylor expansion of 1 in k 91.961 * [backup-simplify]: Simplify 1 into 1 91.961 * [taylor]: Taking taylor expansion of k in k 91.961 * [backup-simplify]: Simplify 0 into 0 91.961 * [backup-simplify]: Simplify 1 into 1 91.961 * [taylor]: Taking taylor expansion of (log n) in k 91.961 * [taylor]: Taking taylor expansion of n in k 91.961 * [backup-simplify]: Simplify n into n 91.961 * [backup-simplify]: Simplify (log n) into (log n) 91.961 * [backup-simplify]: Simplify (- 0) into 0 91.962 * [backup-simplify]: Simplify (+ 1 0) into 1 91.962 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 91.962 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 91.962 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 91.962 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 91.962 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 91.962 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 91.962 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 91.962 * [taylor]: Taking taylor expansion of 1/4 in k 91.962 * [backup-simplify]: Simplify 1/4 into 1/4 91.962 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.962 * [taylor]: Taking taylor expansion of 1 in k 91.962 * [backup-simplify]: Simplify 1 into 1 91.962 * [taylor]: Taking taylor expansion of k in k 91.962 * [backup-simplify]: Simplify 0 into 0 91.962 * [backup-simplify]: Simplify 1 into 1 91.962 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 91.962 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 91.962 * [taylor]: Taking taylor expansion of 2 in k 91.962 * [backup-simplify]: Simplify 2 into 2 91.962 * [taylor]: Taking taylor expansion of (* n PI) in k 91.962 * [taylor]: Taking taylor expansion of n in k 91.962 * [backup-simplify]: Simplify n into n 91.962 * [taylor]: Taking taylor expansion of PI in k 91.962 * [backup-simplify]: Simplify PI into PI 91.962 * [backup-simplify]: Simplify (* n PI) into (* n PI) 91.962 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 91.962 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 91.963 * [backup-simplify]: Simplify (- 0) into 0 91.963 * [backup-simplify]: Simplify (+ 1 0) into 1 91.963 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 91.963 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 91.963 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 91.963 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in n 91.963 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 91.963 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 91.963 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 91.963 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.963 * [taylor]: Taking taylor expansion of 1/4 in n 91.963 * [backup-simplify]: Simplify 1/4 into 1/4 91.963 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.963 * [taylor]: Taking taylor expansion of 1 in n 91.964 * [backup-simplify]: Simplify 1 into 1 91.964 * [taylor]: Taking taylor expansion of k in n 91.964 * [backup-simplify]: Simplify k into k 91.964 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 91.964 * [taylor]: Taking taylor expansion of (* 2 PI) in n 91.964 * [taylor]: Taking taylor expansion of 2 in n 91.964 * [backup-simplify]: Simplify 2 into 2 91.964 * [taylor]: Taking taylor expansion of PI in n 91.964 * [backup-simplify]: Simplify PI into PI 91.964 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.964 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.965 * [backup-simplify]: Simplify (- k) into (- k) 91.965 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.965 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.966 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 91.966 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 91.966 * [taylor]: Taking taylor expansion of (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))) in n 91.966 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 91.966 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 91.966 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 91.966 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.966 * [taylor]: Taking taylor expansion of 1/4 in n 91.966 * [backup-simplify]: Simplify 1/4 into 1/4 91.966 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.966 * [taylor]: Taking taylor expansion of 1 in n 91.966 * [backup-simplify]: Simplify 1 into 1 91.966 * [taylor]: Taking taylor expansion of k in n 91.966 * [backup-simplify]: Simplify k into k 91.966 * [taylor]: Taking taylor expansion of (log n) in n 91.966 * [taylor]: Taking taylor expansion of n in n 91.966 * [backup-simplify]: Simplify 0 into 0 91.966 * [backup-simplify]: Simplify 1 into 1 91.967 * [backup-simplify]: Simplify (log 1) into 0 91.967 * [backup-simplify]: Simplify (- k) into (- k) 91.967 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.967 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.967 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 91.967 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 91.967 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 91.967 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 91.967 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 91.967 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 91.967 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.967 * [taylor]: Taking taylor expansion of 1/4 in n 91.967 * [backup-simplify]: Simplify 1/4 into 1/4 91.967 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.967 * [taylor]: Taking taylor expansion of 1 in n 91.967 * [backup-simplify]: Simplify 1 into 1 91.967 * [taylor]: Taking taylor expansion of k in n 91.967 * [backup-simplify]: Simplify k into k 91.967 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 91.967 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 91.967 * [taylor]: Taking taylor expansion of 2 in n 91.967 * [backup-simplify]: Simplify 2 into 2 91.967 * [taylor]: Taking taylor expansion of (* n PI) in n 91.967 * [taylor]: Taking taylor expansion of n in n 91.967 * [backup-simplify]: Simplify 0 into 0 91.967 * [backup-simplify]: Simplify 1 into 1 91.967 * [taylor]: Taking taylor expansion of PI in n 91.968 * [backup-simplify]: Simplify PI into PI 91.968 * [backup-simplify]: Simplify (* 0 PI) into 0 91.968 * [backup-simplify]: Simplify (* 2 0) into 0 91.969 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 91.970 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 91.970 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.971 * [backup-simplify]: Simplify (- k) into (- k) 91.971 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.971 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.972 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 91.973 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 91.973 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k))))) in n 91.973 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 91.973 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 91.973 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 91.973 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.973 * [taylor]: Taking taylor expansion of 1/4 in n 91.973 * [backup-simplify]: Simplify 1/4 into 1/4 91.973 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.973 * [taylor]: Taking taylor expansion of 1 in n 91.973 * [backup-simplify]: Simplify 1 into 1 91.973 * [taylor]: Taking taylor expansion of k in n 91.973 * [backup-simplify]: Simplify k into k 91.973 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 91.973 * [taylor]: Taking taylor expansion of (* 2 PI) in n 91.973 * [taylor]: Taking taylor expansion of 2 in n 91.973 * [backup-simplify]: Simplify 2 into 2 91.973 * [taylor]: Taking taylor expansion of PI in n 91.973 * [backup-simplify]: Simplify PI into PI 91.974 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.974 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.974 * [backup-simplify]: Simplify (- k) into (- k) 91.974 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.974 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.975 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 91.976 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 91.976 * [taylor]: Taking taylor expansion of (* (pow n (* 1/4 (- 1 k))) (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))) in n 91.976 * [taylor]: Taking taylor expansion of (pow n (* 1/4 (- 1 k))) in n 91.976 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log n))) in n 91.976 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log n)) in n 91.976 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.976 * [taylor]: Taking taylor expansion of 1/4 in n 91.976 * [backup-simplify]: Simplify 1/4 into 1/4 91.976 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.976 * [taylor]: Taking taylor expansion of 1 in n 91.976 * [backup-simplify]: Simplify 1 into 1 91.976 * [taylor]: Taking taylor expansion of k in n 91.976 * [backup-simplify]: Simplify k into k 91.976 * [taylor]: Taking taylor expansion of (log n) in n 91.976 * [taylor]: Taking taylor expansion of n in n 91.976 * [backup-simplify]: Simplify 0 into 0 91.976 * [backup-simplify]: Simplify 1 into 1 91.976 * [backup-simplify]: Simplify (log 1) into 0 91.977 * [backup-simplify]: Simplify (- k) into (- k) 91.977 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.977 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 91.977 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log n)) into (* 1/4 (* (- 1 k) (log n))) 91.977 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log n)))) into (exp (* 1/4 (* (- 1 k) (log n)))) 91.977 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 91.977 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 91.977 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 91.977 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 91.977 * [taylor]: Taking taylor expansion of 1/4 in n 91.977 * [backup-simplify]: Simplify 1/4 into 1/4 91.977 * [taylor]: Taking taylor expansion of (- 1 k) in n 91.977 * [taylor]: Taking taylor expansion of 1 in n 91.977 * [backup-simplify]: Simplify 1 into 1 91.977 * [taylor]: Taking taylor expansion of k in n 91.977 * [backup-simplify]: Simplify k into k 91.977 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 91.977 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 91.977 * [taylor]: Taking taylor expansion of 2 in n 91.977 * [backup-simplify]: Simplify 2 into 2 91.977 * [taylor]: Taking taylor expansion of (* n PI) in n 91.977 * [taylor]: Taking taylor expansion of n in n 91.977 * [backup-simplify]: Simplify 0 into 0 91.977 * [backup-simplify]: Simplify 1 into 1 91.977 * [taylor]: Taking taylor expansion of PI in n 91.977 * [backup-simplify]: Simplify PI into PI 91.978 * [backup-simplify]: Simplify (* 0 PI) into 0 91.978 * [backup-simplify]: Simplify (* 2 0) into 0 91.979 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 91.980 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 91.981 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.981 * [backup-simplify]: Simplify (- k) into (- k) 91.981 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 91.981 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 91.982 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.983 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 91.983 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 91.984 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n))))) 91.986 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n)))))) into (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 91.986 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) in k 91.986 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 91.986 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 91.986 * [taylor]: Taking taylor expansion of 1/4 in k 91.986 * [backup-simplify]: Simplify 1/4 into 1/4 91.986 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 91.986 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.986 * [taylor]: Taking taylor expansion of 1 in k 91.986 * [backup-simplify]: Simplify 1 into 1 91.986 * [taylor]: Taking taylor expansion of k in k 91.986 * [backup-simplify]: Simplify 0 into 0 91.986 * [backup-simplify]: Simplify 1 into 1 91.986 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 91.986 * [taylor]: Taking taylor expansion of (log n) in k 91.986 * [taylor]: Taking taylor expansion of n in k 91.986 * [backup-simplify]: Simplify n into n 91.986 * [backup-simplify]: Simplify (log n) into (log n) 91.986 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 91.986 * [taylor]: Taking taylor expansion of (* 2 PI) in k 91.986 * [taylor]: Taking taylor expansion of 2 in k 91.986 * [backup-simplify]: Simplify 2 into 2 91.986 * [taylor]: Taking taylor expansion of PI in k 91.986 * [backup-simplify]: Simplify PI into PI 91.987 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.988 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.988 * [backup-simplify]: Simplify (- 0) into 0 91.989 * [backup-simplify]: Simplify (+ 1 0) into 1 91.990 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 91.991 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 91.992 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 91.993 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 91.993 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 k) (log n)))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI)))))) in k 91.993 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (log n)))) in k 91.993 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (log n))) in k 91.993 * [taylor]: Taking taylor expansion of 1/4 in k 91.993 * [backup-simplify]: Simplify 1/4 into 1/4 91.993 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 91.993 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.993 * [taylor]: Taking taylor expansion of 1 in k 91.993 * [backup-simplify]: Simplify 1 into 1 91.993 * [taylor]: Taking taylor expansion of k in k 91.993 * [backup-simplify]: Simplify 0 into 0 91.993 * [backup-simplify]: Simplify 1 into 1 91.993 * [taylor]: Taking taylor expansion of (log n) in k 91.993 * [taylor]: Taking taylor expansion of n in k 91.993 * [backup-simplify]: Simplify n into n 91.993 * [backup-simplify]: Simplify (log n) into (log n) 91.994 * [backup-simplify]: Simplify (- 0) into 0 91.994 * [backup-simplify]: Simplify (+ 1 0) into 1 91.994 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 91.994 * [backup-simplify]: Simplify (* 1/4 (log n)) into (* 1/4 (log n)) 91.994 * [backup-simplify]: Simplify (exp (* 1/4 (log n))) into (pow n 1/4) 91.994 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) in k 91.994 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (log (* 2 PI)))) in k 91.994 * [taylor]: Taking taylor expansion of 1/4 in k 91.994 * [backup-simplify]: Simplify 1/4 into 1/4 91.994 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 91.995 * [taylor]: Taking taylor expansion of (- 1 k) in k 91.995 * [taylor]: Taking taylor expansion of 1 in k 91.995 * [backup-simplify]: Simplify 1 into 1 91.995 * [taylor]: Taking taylor expansion of k in k 91.995 * [backup-simplify]: Simplify 0 into 0 91.995 * [backup-simplify]: Simplify 1 into 1 91.995 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 91.995 * [taylor]: Taking taylor expansion of (* 2 PI) in k 91.995 * [taylor]: Taking taylor expansion of 2 in k 91.995 * [backup-simplify]: Simplify 2 into 2 91.995 * [taylor]: Taking taylor expansion of PI in k 91.995 * [backup-simplify]: Simplify PI into PI 91.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 91.996 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 91.997 * [backup-simplify]: Simplify (- 0) into 0 91.997 * [backup-simplify]: Simplify (+ 1 0) into 1 91.999 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 92.000 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 92.003 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 92.004 * [backup-simplify]: Simplify (* (pow n 1/4) (pow (* 2 PI) 1/4)) into (pow (* PI (* n 2)) 1/4) 92.005 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (* PI (* n 2)) 1/4)) into (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) 92.007 * [backup-simplify]: Simplify (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) into (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) 92.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 92.009 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 92.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 92.011 * [backup-simplify]: Simplify (- 0) into 0 92.011 * [backup-simplify]: Simplify (+ 0 0) into 0 92.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 92.013 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 92.014 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 92.016 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 92.018 * [backup-simplify]: Simplify (- 0) into 0 92.018 * [backup-simplify]: Simplify (+ 0 0) into 0 92.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 92.019 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 92.019 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (log n))) into 0 92.020 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 92.022 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log n)))) 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0 92.022 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 92.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 92.024 * [backup-simplify]: Simplify (- 0) into 0 92.025 * [backup-simplify]: Simplify (+ 0 0) into 0 92.025 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 92.026 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 92.028 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.030 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n))))))) into 0 92.030 * [taylor]: Taking taylor expansion of 0 in k 92.030 * [backup-simplify]: Simplify 0 into 0 92.030 * [backup-simplify]: Simplify 0 into 0 92.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 92.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 92.033 * [backup-simplify]: Simplify (- 1) into -1 92.034 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.037 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 92.041 * [backup-simplify]: Simplify (+ (* 1/4 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 92.053 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 92.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 92.055 * [backup-simplify]: Simplify (- 1) into -1 92.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.056 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 92.056 * [backup-simplify]: Simplify (+ (* 1/4 (- (log n))) (* 0 (log n))) into (- (* 1/4 (log n))) 92.056 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 1) 1)))) into (* -1/4 (* (pow n 1/4) (log n))) 92.062 * [backup-simplify]: Simplify (+ (* (pow n 1/4) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/4 (* (pow n 1/4) (log n))) (pow (* 2 PI) 1/4))) into (- (+ (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log (* 2 PI)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log n))))) 92.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 92.063 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 92.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 92.065 * [backup-simplify]: Simplify (+ 0 0) into 0 92.066 * [backup-simplify]: Simplify (- 1) into -1 92.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.068 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 92.070 * [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))))) 92.073 * [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))))))) 92.085 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (- (+ (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log (* 2 PI)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log n)))))) (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (pow (* PI (* n 2)) 1/4))) into (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) 92.089 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) into (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) 92.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 92.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 92.095 * [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 92.095 * [backup-simplify]: Simplify (- 0) into 0 92.096 * [backup-simplify]: Simplify (+ 0 0) into 0 92.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 92.098 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 92.099 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 92.102 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 92.105 * [backup-simplify]: Simplify (- 0) into 0 92.105 * [backup-simplify]: Simplify (+ 0 0) into 0 92.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 92.107 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 92.107 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 92.109 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.110 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0 92.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 92.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 92.115 * [backup-simplify]: Simplify (- 0) into 0 92.115 * [backup-simplify]: Simplify (+ 0 0) into 0 92.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 92.117 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 92.120 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.122 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (log n)))))))) into 0 92.122 * [taylor]: Taking taylor expansion of 0 in k 92.122 * [backup-simplify]: Simplify 0 into 0 92.122 * [backup-simplify]: Simplify 0 into 0 92.122 * [backup-simplify]: Simplify 0 into 0 92.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 92.127 * [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 92.128 * [backup-simplify]: Simplify (- 0) into 0 92.128 * [backup-simplify]: Simplify (+ 0 0) into 0 92.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 92.131 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 92.145 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 92.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 92.147 * [backup-simplify]: Simplify (- 0) into 0 92.148 * [backup-simplify]: Simplify (+ 0 0) into 0 92.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 92.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 92.150 * [backup-simplify]: Simplify (* (exp (* 1/4 (log n))) (+ (* (/ (pow (- (* 1/4 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow n 1/4) (pow (log n) 2))) 92.158 * [backup-simplify]: Simplify (+ (* (pow n 1/4) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/4 (* (pow n 1/4) (log n))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* 1/32 (* (pow n 1/4) (pow (log n) 2))) (pow (* 2 PI) 1/4)))) into (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log n) 2))) (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log (* 2 PI)) 2))) (* 1/16 (* (pow (* PI (* n 2)) 1/4) (* (log n) (log (* 2 PI))))))) 92.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 92.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 92.161 * [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 92.162 * [backup-simplify]: Simplify (+ 0 0) into 0 92.162 * [backup-simplify]: Simplify (- 0) into 0 92.162 * [backup-simplify]: Simplify (+ 0 0) into 0 92.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 92.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 92.167 * [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))))) 92.176 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log n) 2))) (+ (* 1/32 (* (pow (* PI (* n 2)) 1/4) (pow (log (* 2 PI)) 2))) (* 1/16 (* (pow (* PI (* n 2)) 1/4) (* (log n) (log (* 2 PI)))))))) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (- (+ (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log (* 2 PI)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (log n)))))) (* (* (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 (* PI (* n 2)) 1/4)))) into (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 92.180 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 92.188 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/4 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log n)))))) (* k 1)) (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) into (- (+ (* 1/4 (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log (* 2 PI)) (* (pow k 2) (log n)))) (pow (* PI (* n 2)) 1/4))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (pow k 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))))))) (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) k)))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))) 92.189 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (/ (- 1 (/ 1 k)) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)))) into (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) 92.189 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in (n k) around 0 92.189 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in k 92.189 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in k 92.189 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 92.189 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in k 92.189 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 92.189 * [taylor]: Taking taylor expansion of 1/4 in k 92.189 * [backup-simplify]: Simplify 1/4 into 1/4 92.189 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 92.189 * [taylor]: Taking taylor expansion of 1 in k 92.189 * [backup-simplify]: Simplify 1 into 1 92.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.189 * [taylor]: Taking taylor expansion of k in k 92.189 * [backup-simplify]: Simplify 0 into 0 92.189 * [backup-simplify]: Simplify 1 into 1 92.189 * [backup-simplify]: Simplify (/ 1 1) into 1 92.189 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 92.189 * [taylor]: Taking taylor expansion of (/ 1 n) in k 92.189 * [taylor]: Taking taylor expansion of n in k 92.189 * [backup-simplify]: Simplify n into n 92.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 92.189 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 92.190 * [backup-simplify]: Simplify (- 1) into -1 92.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.191 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 92.191 * [backup-simplify]: Simplify (* -1/4 (log (/ 1 n))) into (* -1/4 (log (/ 1 n))) 92.191 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 92.191 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))) in k 92.191 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 92.191 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 92.191 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 92.191 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 92.191 * [taylor]: Taking taylor expansion of 1/4 in k 92.191 * [backup-simplify]: Simplify 1/4 into 1/4 92.191 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 92.191 * [taylor]: Taking taylor expansion of 1 in k 92.191 * [backup-simplify]: Simplify 1 into 1 92.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.191 * [taylor]: Taking taylor expansion of k in k 92.191 * [backup-simplify]: Simplify 0 into 0 92.191 * [backup-simplify]: Simplify 1 into 1 92.192 * [backup-simplify]: Simplify (/ 1 1) into 1 92.192 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 92.192 * [taylor]: Taking taylor expansion of (* 2 PI) in k 92.192 * [taylor]: Taking taylor expansion of 2 in k 92.192 * [backup-simplify]: Simplify 2 into 2 92.192 * [taylor]: Taking taylor expansion of PI in k 92.192 * [backup-simplify]: Simplify PI into PI 92.192 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.193 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.194 * [backup-simplify]: Simplify (- 1) into -1 92.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.194 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 92.201 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 92.203 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 92.203 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 92.203 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 92.203 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 92.203 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 92.203 * [taylor]: Taking taylor expansion of 1/4 in k 92.203 * [backup-simplify]: Simplify 1/4 into 1/4 92.203 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 92.203 * [taylor]: Taking taylor expansion of 1 in k 92.203 * [backup-simplify]: Simplify 1 into 1 92.203 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.203 * [taylor]: Taking taylor expansion of k in k 92.203 * [backup-simplify]: Simplify 0 into 0 92.203 * [backup-simplify]: Simplify 1 into 1 92.204 * [backup-simplify]: Simplify (/ 1 1) into 1 92.204 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 92.204 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 92.204 * [taylor]: Taking taylor expansion of 2 in k 92.204 * [backup-simplify]: Simplify 2 into 2 92.204 * [taylor]: Taking taylor expansion of (/ PI n) in k 92.204 * [taylor]: Taking taylor expansion of PI in k 92.204 * [backup-simplify]: Simplify PI into PI 92.204 * [taylor]: Taking taylor expansion of n in k 92.204 * [backup-simplify]: Simplify n into n 92.204 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 92.204 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 92.204 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 92.204 * [backup-simplify]: Simplify (- 1) into -1 92.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.205 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 92.206 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 92.206 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 92.206 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in n 92.206 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 92.206 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 92.206 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 92.206 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 92.206 * [taylor]: Taking taylor expansion of 1/4 in n 92.206 * [backup-simplify]: Simplify 1/4 into 1/4 92.206 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 92.206 * [taylor]: Taking taylor expansion of 1 in n 92.206 * [backup-simplify]: Simplify 1 into 1 92.206 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.206 * [taylor]: Taking taylor expansion of k in n 92.206 * [backup-simplify]: Simplify k into k 92.206 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.206 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 92.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 92.206 * [taylor]: Taking taylor expansion of n in n 92.206 * [backup-simplify]: Simplify 0 into 0 92.206 * [backup-simplify]: Simplify 1 into 1 92.207 * [backup-simplify]: Simplify (/ 1 1) into 1 92.207 * [backup-simplify]: Simplify (log 1) into 0 92.207 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 92.207 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 92.207 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 92.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 92.208 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 92.208 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 92.208 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))) in n 92.208 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 92.208 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 92.208 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 92.208 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 92.208 * [taylor]: Taking taylor expansion of 1/4 in n 92.208 * [backup-simplify]: Simplify 1/4 into 1/4 92.208 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 92.208 * [taylor]: Taking taylor expansion of 1 in n 92.208 * [backup-simplify]: Simplify 1 into 1 92.208 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.208 * [taylor]: Taking taylor expansion of k in n 92.208 * [backup-simplify]: Simplify k into k 92.208 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.209 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 92.209 * [taylor]: Taking taylor expansion of (* 2 PI) in n 92.209 * [taylor]: Taking taylor expansion of 2 in n 92.209 * [backup-simplify]: Simplify 2 into 2 92.209 * [taylor]: Taking taylor expansion of PI in n 92.209 * [backup-simplify]: Simplify PI into PI 92.209 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.210 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.210 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 92.211 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 92.211 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 92.212 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 92.213 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 92.213 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 92.213 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 92.213 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 92.213 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 92.213 * [taylor]: Taking taylor expansion of 1/4 in n 92.213 * [backup-simplify]: Simplify 1/4 into 1/4 92.213 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 92.213 * [taylor]: Taking taylor expansion of 1 in n 92.213 * [backup-simplify]: Simplify 1 into 1 92.213 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.213 * [taylor]: Taking taylor expansion of k in n 92.213 * [backup-simplify]: Simplify k into k 92.213 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.213 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 92.213 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 92.213 * [taylor]: Taking taylor expansion of 2 in n 92.213 * [backup-simplify]: Simplify 2 into 2 92.213 * [taylor]: Taking taylor expansion of (/ PI n) in n 92.213 * [taylor]: Taking taylor expansion of PI in n 92.213 * [backup-simplify]: Simplify PI into PI 92.213 * [taylor]: Taking taylor expansion of n in n 92.213 * [backup-simplify]: Simplify 0 into 0 92.213 * [backup-simplify]: Simplify 1 into 1 92.214 * [backup-simplify]: Simplify (/ PI 1) into PI 92.214 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.215 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.215 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 92.216 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 92.216 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 92.217 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 92.218 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 92.219 * [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))))) 92.219 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))))) in n 92.219 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/4 (- 1 (/ 1 k)))) in n 92.219 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 92.220 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ 1 n))) in n 92.220 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 92.220 * [taylor]: Taking taylor expansion of 1/4 in n 92.220 * [backup-simplify]: Simplify 1/4 into 1/4 92.220 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 92.220 * [taylor]: Taking taylor expansion of 1 in n 92.220 * [backup-simplify]: Simplify 1 into 1 92.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.220 * [taylor]: Taking taylor expansion of k in n 92.220 * [backup-simplify]: Simplify k into k 92.220 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.220 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 92.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 92.220 * [taylor]: Taking taylor expansion of n in n 92.220 * [backup-simplify]: Simplify 0 into 0 92.220 * [backup-simplify]: Simplify 1 into 1 92.221 * [backup-simplify]: Simplify (/ 1 1) into 1 92.221 * [backup-simplify]: Simplify (log 1) into 0 92.221 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 92.221 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 92.221 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 92.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 92.222 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log n))) into (* -1/4 (* (- 1 (/ 1 k)) (log n))) 92.222 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 92.222 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))) in n 92.222 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 92.222 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 92.222 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 92.222 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 92.222 * [taylor]: Taking taylor expansion of 1/4 in n 92.222 * [backup-simplify]: Simplify 1/4 into 1/4 92.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 92.222 * [taylor]: Taking taylor expansion of 1 in n 92.222 * [backup-simplify]: Simplify 1 into 1 92.222 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.222 * [taylor]: Taking taylor expansion of k in n 92.222 * [backup-simplify]: Simplify k into k 92.222 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.223 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 92.223 * [taylor]: Taking taylor expansion of (* 2 PI) in n 92.223 * [taylor]: Taking taylor expansion of 2 in n 92.223 * [backup-simplify]: Simplify 2 into 2 92.223 * [taylor]: Taking taylor expansion of PI in n 92.223 * [backup-simplify]: Simplify PI into PI 92.223 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.224 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.224 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 92.224 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 92.224 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 92.225 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 92.227 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 92.227 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 92.227 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 92.227 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 92.227 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 92.227 * [taylor]: Taking taylor expansion of 1/4 in n 92.227 * [backup-simplify]: Simplify 1/4 into 1/4 92.227 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 92.227 * [taylor]: Taking taylor expansion of 1 in n 92.227 * [backup-simplify]: Simplify 1 into 1 92.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.227 * [taylor]: Taking taylor expansion of k in n 92.227 * [backup-simplify]: Simplify k into k 92.227 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.227 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 92.227 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 92.227 * [taylor]: Taking taylor expansion of 2 in n 92.227 * [backup-simplify]: Simplify 2 into 2 92.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 92.227 * [taylor]: Taking taylor expansion of PI in n 92.227 * [backup-simplify]: Simplify PI into PI 92.227 * [taylor]: Taking taylor expansion of n in n 92.227 * [backup-simplify]: Simplify 0 into 0 92.227 * [backup-simplify]: Simplify 1 into 1 92.228 * [backup-simplify]: Simplify (/ PI 1) into PI 92.228 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.229 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.229 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 92.230 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 92.230 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 92.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 92.232 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 92.233 * [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))))) 92.236 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 92.239 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) 92.239 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) in k 92.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 92.239 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 92.239 * [taylor]: Taking taylor expansion of 1/4 in k 92.239 * [backup-simplify]: Simplify 1/4 into 1/4 92.239 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 92.239 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 92.239 * [taylor]: Taking taylor expansion of 1 in k 92.239 * [backup-simplify]: Simplify 1 into 1 92.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.239 * [taylor]: Taking taylor expansion of k in k 92.239 * [backup-simplify]: Simplify 0 into 0 92.239 * [backup-simplify]: Simplify 1 into 1 92.240 * [backup-simplify]: Simplify (/ 1 1) into 1 92.240 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 92.240 * [taylor]: Taking taylor expansion of (* 2 PI) in k 92.240 * [taylor]: Taking taylor expansion of 2 in k 92.240 * [backup-simplify]: Simplify 2 into 2 92.240 * [taylor]: Taking taylor expansion of PI in k 92.240 * [backup-simplify]: Simplify PI into PI 92.240 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.241 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.242 * [backup-simplify]: Simplify (- 1) into -1 92.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.244 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 92.247 * [backup-simplify]: Simplify (* 1/4 (* -1 (log (* 2 PI)))) into (* -1/4 (log (* 2 PI))) 92.248 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 92.248 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))) in k 92.248 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 92.248 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 92.248 * [taylor]: Taking taylor expansion of 1/4 in k 92.248 * [backup-simplify]: Simplify 1/4 into 1/4 92.248 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 92.248 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 92.248 * [taylor]: Taking taylor expansion of 1 in k 92.248 * [backup-simplify]: Simplify 1 into 1 92.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.248 * [taylor]: Taking taylor expansion of k in k 92.248 * [backup-simplify]: Simplify 0 into 0 92.248 * [backup-simplify]: Simplify 1 into 1 92.249 * [backup-simplify]: Simplify (/ 1 1) into 1 92.249 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 92.249 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 92.249 * [taylor]: Taking taylor expansion of (* 2 PI) in k 92.249 * [taylor]: Taking taylor expansion of 2 in k 92.249 * [backup-simplify]: Simplify 2 into 2 92.249 * [taylor]: Taking taylor expansion of PI in k 92.249 * [backup-simplify]: Simplify PI into PI 92.249 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.250 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.250 * [taylor]: Taking taylor expansion of (log n) in k 92.250 * [taylor]: Taking taylor expansion of n in k 92.250 * [backup-simplify]: Simplify n into n 92.250 * [backup-simplify]: Simplify (log n) into (log n) 92.250 * [backup-simplify]: Simplify (- 1) into -1 92.250 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.250 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 92.251 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 92.252 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 92.252 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 92.253 * [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))))) 92.253 * [taylor]: Taking taylor expansion of (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) in k 92.253 * [taylor]: Taking taylor expansion of (* -1/4 (* (- 1 (/ 1 k)) (log n))) in k 92.253 * [taylor]: Taking taylor expansion of -1/4 in k 92.253 * [backup-simplify]: Simplify -1/4 into -1/4 92.253 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 92.253 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 92.253 * [taylor]: Taking taylor expansion of 1 in k 92.253 * [backup-simplify]: Simplify 1 into 1 92.253 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.253 * [taylor]: Taking taylor expansion of k in k 92.253 * [backup-simplify]: Simplify 0 into 0 92.253 * [backup-simplify]: Simplify 1 into 1 92.253 * [backup-simplify]: Simplify (/ 1 1) into 1 92.253 * [taylor]: Taking taylor expansion of (log n) in k 92.253 * [taylor]: Taking taylor expansion of n in k 92.253 * [backup-simplify]: Simplify n into n 92.254 * [backup-simplify]: Simplify (log n) into (log n) 92.254 * [backup-simplify]: Simplify (- 1) into -1 92.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 92.254 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 92.254 * [backup-simplify]: Simplify (* -1/4 (* -1 (log n))) into (* 1/4 (log n)) 92.254 * [backup-simplify]: Simplify (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 92.255 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))) 92.256 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) 92.258 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) 92.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 92.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 92.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 92.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 92.260 * [backup-simplify]: Simplify (- 0) into 0 92.260 * [backup-simplify]: Simplify (+ 0 0) into 0 92.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 92.261 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 92.262 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 92.263 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.264 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 92.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 92.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 92.265 * [backup-simplify]: Simplify (- 0) into 0 92.265 * [backup-simplify]: Simplify (+ 0 0) into 0 92.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 92.266 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 92.267 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.268 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 92.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 92.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 92.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 92.270 * [backup-simplify]: Simplify (- 0) into 0 92.270 * [backup-simplify]: Simplify (+ 0 0) into 0 92.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 92.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 92.271 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 92.271 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 92.273 * [backup-simplify]: Simplify (+ (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 92.273 * [taylor]: Taking taylor expansion of 0 in k 92.273 * [backup-simplify]: Simplify 0 into 0 92.273 * [backup-simplify]: Simplify 0 into 0 92.274 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))) into 0 92.275 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))))) into 0 92.275 * [backup-simplify]: Simplify 0 into 0 92.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 92.279 * [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 92.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.280 * [backup-simplify]: Simplify (- 0) into 0 92.280 * [backup-simplify]: Simplify (+ 0 0) into 0 92.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 92.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 92.284 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 92.286 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 92.291 * [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 92.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.292 * [backup-simplify]: Simplify (- 0) into 0 92.292 * [backup-simplify]: Simplify (+ 0 0) into 0 92.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 92.295 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 92.298 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.301 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 92.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.304 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 92.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.305 * [backup-simplify]: Simplify (- 0) into 0 92.306 * [backup-simplify]: Simplify (+ 0 0) into 0 92.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 92.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 92.308 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 92.309 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.312 * [backup-simplify]: Simplify (+ (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 92.312 * [taylor]: Taking taylor expansion of 0 in k 92.312 * [backup-simplify]: Simplify 0 into 0 92.312 * [backup-simplify]: Simplify 0 into 0 92.312 * [backup-simplify]: Simplify 0 into 0 92.314 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* -1/4 (* (- 1 (/ 1 k)) (log n))))))) into 0 92.317 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))))))) into 0 92.317 * [backup-simplify]: Simplify 0 into 0 92.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 92.326 * [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 92.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.327 * [backup-simplify]: Simplify (- 0) into 0 92.327 * [backup-simplify]: Simplify (+ 0 0) into 0 92.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 92.337 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 92.339 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 92.341 * [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 92.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 92.349 * [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 92.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.349 * [backup-simplify]: Simplify (- 0) into 0 92.350 * [backup-simplify]: Simplify (+ 0 0) into 0 92.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 92.352 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 92.355 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 92.358 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 92.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.365 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 92.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.365 * [backup-simplify]: Simplify (- 0) into 0 92.366 * [backup-simplify]: Simplify (+ 0 0) into 0 92.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 92.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 92.368 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 92.370 * [backup-simplify]: Simplify (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 92.372 * [backup-simplify]: Simplify (+ (* (exp (* -1/4 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))))) into 0 92.372 * [taylor]: Taking taylor expansion of 0 in k 92.372 * [backup-simplify]: Simplify 0 into 0 92.372 * [backup-simplify]: Simplify 0 into 0 92.373 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) (* (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) (exp (* -1/4 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))))) into (* (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 92.374 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)))) into (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) 92.374 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in (n k) around 0 92.374 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in k 92.374 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in k 92.374 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 92.374 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 92.374 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 92.374 * [taylor]: Taking taylor expansion of 1/4 in k 92.374 * [backup-simplify]: Simplify 1/4 into 1/4 92.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 92.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.374 * [taylor]: Taking taylor expansion of k in k 92.374 * [backup-simplify]: Simplify 0 into 0 92.374 * [backup-simplify]: Simplify 1 into 1 92.374 * [backup-simplify]: Simplify (/ 1 1) into 1 92.374 * [taylor]: Taking taylor expansion of 1 in k 92.374 * [backup-simplify]: Simplify 1 into 1 92.374 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 92.374 * [taylor]: Taking taylor expansion of (/ -1 n) in k 92.374 * [taylor]: Taking taylor expansion of -1 in k 92.375 * [backup-simplify]: Simplify -1 into -1 92.375 * [taylor]: Taking taylor expansion of n in k 92.375 * [backup-simplify]: Simplify n into n 92.375 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 92.375 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 92.375 * [backup-simplify]: Simplify (+ 1 0) into 1 92.375 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 92.375 * [backup-simplify]: Simplify (* 1/4 (log (/ -1 n))) into (* 1/4 (log (/ -1 n))) 92.375 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 92.375 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1)))) in k 92.375 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 92.375 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 92.375 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 92.375 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 92.375 * [taylor]: Taking taylor expansion of 1/4 in k 92.375 * [backup-simplify]: Simplify 1/4 into 1/4 92.375 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 92.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.375 * [taylor]: Taking taylor expansion of k in k 92.376 * [backup-simplify]: Simplify 0 into 0 92.376 * [backup-simplify]: Simplify 1 into 1 92.376 * [backup-simplify]: Simplify (/ 1 1) into 1 92.376 * [taylor]: Taking taylor expansion of 1 in k 92.376 * [backup-simplify]: Simplify 1 into 1 92.376 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 92.376 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 92.376 * [taylor]: Taking taylor expansion of -2 in k 92.376 * [backup-simplify]: Simplify -2 into -2 92.376 * [taylor]: Taking taylor expansion of (/ PI n) in k 92.376 * [taylor]: Taking taylor expansion of PI in k 92.376 * [backup-simplify]: Simplify PI into PI 92.376 * [taylor]: Taking taylor expansion of n in k 92.376 * [backup-simplify]: Simplify n into n 92.376 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 92.376 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 92.376 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 92.376 * [backup-simplify]: Simplify (+ 1 0) into 1 92.377 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 92.377 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 92.377 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 92.377 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 92.377 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 92.377 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 92.377 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 92.377 * [taylor]: Taking taylor expansion of 1/4 in k 92.377 * [backup-simplify]: Simplify 1/4 into 1/4 92.377 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 92.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.377 * [taylor]: Taking taylor expansion of k in k 92.377 * [backup-simplify]: Simplify 0 into 0 92.377 * [backup-simplify]: Simplify 1 into 1 92.377 * [backup-simplify]: Simplify (/ 1 1) into 1 92.377 * [taylor]: Taking taylor expansion of 1 in k 92.377 * [backup-simplify]: Simplify 1 into 1 92.377 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 92.377 * [taylor]: Taking taylor expansion of (* 2 PI) in k 92.377 * [taylor]: Taking taylor expansion of 2 in k 92.377 * [backup-simplify]: Simplify 2 into 2 92.377 * [taylor]: Taking taylor expansion of PI in k 92.377 * [backup-simplify]: Simplify PI into PI 92.378 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.378 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.378 * [backup-simplify]: Simplify (+ 1 0) into 1 92.379 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 92.380 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 92.380 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 92.380 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in n 92.380 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 92.380 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 92.380 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 92.380 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 92.381 * [taylor]: Taking taylor expansion of 1/4 in n 92.381 * [backup-simplify]: Simplify 1/4 into 1/4 92.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 92.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.381 * [taylor]: Taking taylor expansion of k in n 92.381 * [backup-simplify]: Simplify k into k 92.381 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.381 * [taylor]: Taking taylor expansion of 1 in n 92.381 * [backup-simplify]: Simplify 1 into 1 92.381 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 92.381 * [taylor]: Taking taylor expansion of (/ -1 n) in n 92.381 * [taylor]: Taking taylor expansion of -1 in n 92.381 * [backup-simplify]: Simplify -1 into -1 92.381 * [taylor]: Taking taylor expansion of n in n 92.381 * [backup-simplify]: Simplify 0 into 0 92.381 * [backup-simplify]: Simplify 1 into 1 92.381 * [backup-simplify]: Simplify (/ -1 1) into -1 92.381 * [backup-simplify]: Simplify (log -1) into (log -1) 92.381 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 92.381 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 92.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 92.382 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 92.383 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 92.383 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1)))) in n 92.383 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 92.383 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 92.383 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 92.383 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 92.383 * [taylor]: Taking taylor expansion of 1/4 in n 92.383 * [backup-simplify]: Simplify 1/4 into 1/4 92.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 92.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.383 * [taylor]: Taking taylor expansion of k in n 92.383 * [backup-simplify]: Simplify k into k 92.383 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.383 * [taylor]: Taking taylor expansion of 1 in n 92.383 * [backup-simplify]: Simplify 1 into 1 92.383 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 92.383 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 92.383 * [taylor]: Taking taylor expansion of -2 in n 92.383 * [backup-simplify]: Simplify -2 into -2 92.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 92.383 * [taylor]: Taking taylor expansion of PI in n 92.383 * [backup-simplify]: Simplify PI into PI 92.383 * [taylor]: Taking taylor expansion of n in n 92.383 * [backup-simplify]: Simplify 0 into 0 92.383 * [backup-simplify]: Simplify 1 into 1 92.383 * [backup-simplify]: Simplify (/ PI 1) into PI 92.384 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 92.384 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 92.384 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 92.384 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 92.385 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 92.386 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 92.386 * [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))))) 92.386 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 92.386 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 92.386 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 92.387 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 92.387 * [taylor]: Taking taylor expansion of 1/4 in n 92.387 * [backup-simplify]: Simplify 1/4 into 1/4 92.387 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 92.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.387 * [taylor]: Taking taylor expansion of k in n 92.387 * [backup-simplify]: Simplify k into k 92.387 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.387 * [taylor]: Taking taylor expansion of 1 in n 92.387 * [backup-simplify]: Simplify 1 into 1 92.387 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 92.387 * [taylor]: Taking taylor expansion of (* 2 PI) in n 92.387 * [taylor]: Taking taylor expansion of 2 in n 92.387 * [backup-simplify]: Simplify 2 into 2 92.387 * [taylor]: Taking taylor expansion of PI in n 92.387 * [backup-simplify]: Simplify PI into PI 92.387 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.388 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.388 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 92.388 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 92.388 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 92.389 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 92.389 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))))) in n 92.389 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/4 (+ (/ 1 k) 1))) in n 92.389 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 92.389 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 92.389 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 92.389 * [taylor]: Taking taylor expansion of 1/4 in n 92.389 * [backup-simplify]: Simplify 1/4 into 1/4 92.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 92.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.389 * [taylor]: Taking taylor expansion of k in n 92.389 * [backup-simplify]: Simplify k into k 92.389 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.389 * [taylor]: Taking taylor expansion of 1 in n 92.389 * [backup-simplify]: Simplify 1 into 1 92.389 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 92.389 * [taylor]: Taking taylor expansion of (/ -1 n) in n 92.389 * [taylor]: Taking taylor expansion of -1 in n 92.389 * [backup-simplify]: Simplify -1 into -1 92.389 * [taylor]: Taking taylor expansion of n in n 92.389 * [backup-simplify]: Simplify 0 into 0 92.389 * [backup-simplify]: Simplify 1 into 1 92.390 * [backup-simplify]: Simplify (/ -1 1) into -1 92.390 * [backup-simplify]: Simplify (log -1) into (log -1) 92.390 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 92.390 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 92.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 92.391 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 92.391 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 92.391 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1)))) in n 92.391 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 92.391 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 92.391 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 92.391 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 92.391 * [taylor]: Taking taylor expansion of 1/4 in n 92.391 * [backup-simplify]: Simplify 1/4 into 1/4 92.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 92.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.391 * [taylor]: Taking taylor expansion of k in n 92.391 * [backup-simplify]: Simplify k into k 92.391 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.392 * [taylor]: Taking taylor expansion of 1 in n 92.392 * [backup-simplify]: Simplify 1 into 1 92.392 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 92.392 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 92.392 * [taylor]: Taking taylor expansion of -2 in n 92.392 * [backup-simplify]: Simplify -2 into -2 92.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 92.392 * [taylor]: Taking taylor expansion of PI in n 92.392 * [backup-simplify]: Simplify PI into PI 92.392 * [taylor]: Taking taylor expansion of n in n 92.392 * [backup-simplify]: Simplify 0 into 0 92.392 * [backup-simplify]: Simplify 1 into 1 92.392 * [backup-simplify]: Simplify (/ PI 1) into PI 92.392 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 92.393 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 92.393 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 92.393 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 92.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 92.395 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 92.396 * [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))))) 92.396 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 92.396 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 92.396 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 92.396 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 92.396 * [taylor]: Taking taylor expansion of 1/4 in n 92.396 * [backup-simplify]: Simplify 1/4 into 1/4 92.396 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 92.396 * [taylor]: Taking taylor expansion of (/ 1 k) in n 92.396 * [taylor]: Taking taylor expansion of k in n 92.396 * [backup-simplify]: Simplify k into k 92.396 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 92.396 * [taylor]: Taking taylor expansion of 1 in n 92.396 * [backup-simplify]: Simplify 1 into 1 92.396 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 92.396 * [taylor]: Taking taylor expansion of (* 2 PI) in n 92.396 * [taylor]: Taking taylor expansion of 2 in n 92.396 * [backup-simplify]: Simplify 2 into 2 92.396 * [taylor]: Taking taylor expansion of PI in n 92.396 * [backup-simplify]: Simplify PI into PI 92.397 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.397 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.397 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 92.397 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 92.398 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 92.399 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 92.400 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 92.402 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 92.402 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) in k 92.402 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 92.402 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 92.402 * [taylor]: Taking taylor expansion of 1/4 in k 92.402 * [backup-simplify]: Simplify 1/4 into 1/4 92.402 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 92.402 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 92.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.402 * [taylor]: Taking taylor expansion of k in k 92.402 * [backup-simplify]: Simplify 0 into 0 92.402 * [backup-simplify]: Simplify 1 into 1 92.403 * [backup-simplify]: Simplify (/ 1 1) into 1 92.403 * [taylor]: Taking taylor expansion of 1 in k 92.403 * [backup-simplify]: Simplify 1 into 1 92.403 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 92.403 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 92.403 * [taylor]: Taking taylor expansion of (* -2 PI) in k 92.403 * [taylor]: Taking taylor expansion of -2 in k 92.403 * [backup-simplify]: Simplify -2 into -2 92.403 * [taylor]: Taking taylor expansion of PI in k 92.403 * [backup-simplify]: Simplify PI into PI 92.403 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 92.404 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 92.404 * [taylor]: Taking taylor expansion of (log n) in k 92.404 * [taylor]: Taking taylor expansion of n in k 92.404 * [backup-simplify]: Simplify n into n 92.404 * [backup-simplify]: Simplify (log n) into (log n) 92.405 * [backup-simplify]: Simplify (+ 1 0) into 1 92.405 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 92.406 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 92.407 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 92.408 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 92.409 * [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))))) 92.409 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) in k 92.409 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 92.409 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 92.409 * [taylor]: Taking taylor expansion of 1/4 in k 92.409 * [backup-simplify]: Simplify 1/4 into 1/4 92.409 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 92.409 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 92.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.409 * [taylor]: Taking taylor expansion of k in k 92.409 * [backup-simplify]: Simplify 0 into 0 92.409 * [backup-simplify]: Simplify 1 into 1 92.410 * [backup-simplify]: Simplify (/ 1 1) into 1 92.410 * [taylor]: Taking taylor expansion of 1 in k 92.410 * [backup-simplify]: Simplify 1 into 1 92.410 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 92.410 * [taylor]: Taking taylor expansion of (log -1) in k 92.410 * [taylor]: Taking taylor expansion of -1 in k 92.410 * [backup-simplify]: Simplify -1 into -1 92.410 * [backup-simplify]: Simplify (log -1) into (log -1) 92.410 * [taylor]: Taking taylor expansion of (log n) in k 92.410 * [taylor]: Taking taylor expansion of n in k 92.410 * [backup-simplify]: Simplify n into n 92.410 * [backup-simplify]: Simplify (log n) into (log n) 92.411 * [backup-simplify]: Simplify (+ 1 0) into 1 92.411 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 92.411 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 92.412 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 92.412 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log n))) into (* 1/4 (- (log -1) (log n))) 92.413 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 92.413 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 92.413 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 92.413 * [taylor]: Taking taylor expansion of 1/4 in k 92.413 * [backup-simplify]: Simplify 1/4 into 1/4 92.413 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 92.413 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 92.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 92.413 * [taylor]: Taking taylor expansion of k in k 92.413 * [backup-simplify]: Simplify 0 into 0 92.413 * [backup-simplify]: Simplify 1 into 1 92.413 * [backup-simplify]: Simplify (/ 1 1) into 1 92.414 * [taylor]: Taking taylor expansion of 1 in k 92.414 * [backup-simplify]: Simplify 1 into 1 92.414 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 92.414 * [taylor]: Taking taylor expansion of (* 2 PI) in k 92.414 * [taylor]: Taking taylor expansion of 2 in k 92.414 * [backup-simplify]: Simplify 2 into 2 92.414 * [taylor]: Taking taylor expansion of PI in k 92.414 * [backup-simplify]: Simplify PI into PI 92.414 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 92.415 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 92.415 * [backup-simplify]: Simplify (+ 1 0) into 1 92.417 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 92.419 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 92.420 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 92.422 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 92.424 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 92.427 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 92.428 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 92.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 92.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 92.430 * [backup-simplify]: Simplify (+ 0 0) into 0 92.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 92.432 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 92.434 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 92.435 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 92.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 92.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 92.438 * [backup-simplify]: Simplify (+ 0 0) into 0 92.438 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 92.439 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 92.441 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 92.442 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.445 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 92.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 92.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 92.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 92.448 * [backup-simplify]: Simplify (+ 0 0) into 0 92.448 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 92.449 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 92.450 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 92.451 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 92.454 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 92.454 * [taylor]: Taking taylor expansion of 0 in k 92.454 * [backup-simplify]: Simplify 0 into 0 92.454 * [backup-simplify]: Simplify 0 into 0 92.455 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 92.464 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 92.464 * [backup-simplify]: Simplify 0 into 0 92.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 92.469 * [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 92.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.470 * [backup-simplify]: Simplify (+ 0 0) into 0 92.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 92.472 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 92.474 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.476 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 92.480 * [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 92.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.480 * [backup-simplify]: Simplify (+ 0 0) into 0 92.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 92.483 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 92.484 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 92.487 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.490 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 92.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 92.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.495 * [backup-simplify]: Simplify (+ 0 0) into 0 92.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 92.497 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 92.498 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 92.500 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 92.503 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 92.503 * [taylor]: Taking taylor expansion of 0 in k 92.503 * [backup-simplify]: Simplify 0 into 0 92.503 * [backup-simplify]: Simplify 0 into 0 92.503 * [backup-simplify]: Simplify 0 into 0 92.505 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 92.508 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 92.509 * [backup-simplify]: Simplify 0 into 0 92.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 92.515 * [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 92.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.516 * [backup-simplify]: Simplify (+ 0 0) into 0 92.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 92.519 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 92.521 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 92.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.524 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 92.530 * [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 92.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.531 * [backup-simplify]: Simplify (+ 0 0) into 0 92.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 92.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 92.535 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 92.538 * [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 92.541 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 92.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 92.547 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 92.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 92.548 * [backup-simplify]: Simplify (+ 0 0) into 0 92.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 92.550 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 92.551 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 92.552 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 92.554 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))))) into 0 92.554 * [taylor]: Taking taylor expansion of 0 in k 92.554 * [backup-simplify]: Simplify 0 into 0 92.554 * [backup-simplify]: Simplify 0 into 0 92.556 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (* (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) into (* (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 92.556 * * * [progress]: simplifying candidates 92.556 * * * * [progress]: [ 1 / 295 ] simplifiying candidate # 92.556 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 92.556 * * [simplify]: iters left: 6 (14 enodes) 92.560 * * [simplify]: iters left: 5 (60 enodes) 92.571 * * [simplify]: iters left: 4 (108 enodes) 92.611 * * [simplify]: iters left: 3 (249 enodes) 92.683 * * [simplify]: Extracting #0: cost 1 inf + 0 92.683 * * [simplify]: Extracting #1: cost 28 inf + 0 92.683 * * [simplify]: Extracting #2: cost 114 inf + 2 92.684 * * [simplify]: Extracting #3: cost 151 inf + 301 92.687 * * [simplify]: Extracting #4: cost 84 inf + 10352 92.697 * * [simplify]: Extracting #5: cost 17 inf + 27228 92.712 * * [simplify]: Extracting #6: cost 0 inf + 31848 92.724 * * [simplify]: Extracting #7: cost 0 inf + 31808 92.736 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 92.736 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))))) (sqrt k))) 92.736 * * * * [progress]: [ 2 / 295 ] simplifiying candidate # 92.737 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 92.737 * * [simplify]: iters left: 6 (13 enodes) 92.746 * * [simplify]: iters left: 5 (58 enodes) 92.765 * * [simplify]: iters left: 4 (101 enodes) 92.798 * * [simplify]: iters left: 3 (207 enodes) 92.858 * * [simplify]: iters left: 2 (498 enodes) 93.008 * * [simplify]: Extracting #0: cost 1 inf + 0 93.008 * * [simplify]: Extracting #1: cost 58 inf + 0 93.008 * * [simplify]: Extracting #2: cost 205 inf + 4 93.010 * * [simplify]: Extracting #3: cost 244 inf + 1075 93.017 * * [simplify]: Extracting #4: cost 137 inf + 20618 93.037 * * [simplify]: Extracting #5: cost 12 inf + 54441 93.050 * * [simplify]: Extracting #6: cost 0 inf + 58827 93.062 * * [simplify]: Extracting #7: cost 0 inf + 58826 93.080 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4) 93.080 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)))) (sqrt k))) 93.080 * * * * [progress]: [ 3 / 295 ] simplifiying candidate # 93.080 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 93.080 * * [simplify]: iters left: 6 (12 enodes) 93.088 * * [simplify]: iters left: 5 (57 enodes) 93.113 * * [simplify]: iters left: 4 (111 enodes) 93.148 * * [simplify]: iters left: 3 (212 enodes) 93.199 * * [simplify]: iters left: 2 (446 enodes) 93.354 * * [simplify]: Extracting #0: cost 1 inf + 0 93.355 * * [simplify]: Extracting #1: cost 34 inf + 0 93.355 * * [simplify]: Extracting #2: cost 143 inf + 4 93.357 * * [simplify]: Extracting #3: cost 200 inf + 396 93.361 * * [simplify]: Extracting #4: cost 133 inf + 9596 93.372 * * [simplify]: Extracting #5: cost 32 inf + 30294 93.388 * * [simplify]: Extracting #6: cost 1 inf + 36989 93.404 * * [simplify]: Extracting #7: cost 0 inf + 37182 93.420 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 93.420 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)))) (sqrt k))) 93.420 * * * * [progress]: [ 4 / 295 ] simplifiying candidate # 93.420 * * * * [progress]: [ 5 / 295 ] simplifiying candidate # 93.421 * [simplify]: Simplifying (* n (* 2 PI)) 93.421 * * [simplify]: iters left: 4 (5 enodes) 93.424 * * [simplify]: iters left: 3 (19 enodes) 93.431 * * [simplify]: iters left: 2 (27 enodes) 93.439 * * [simplify]: iters left: 1 (32 enodes) 93.447 * * [simplify]: Extracting #0: cost 1 inf + 0 93.447 * * [simplify]: Extracting #1: cost 8 inf + 0 93.447 * * [simplify]: Extracting #2: cost 7 inf + 45 93.447 * * [simplify]: Extracting #3: cost 0 inf + 421 93.448 * [simplify]: Simplified to (* (* PI 2) n) 93.448 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 93.448 * * * * [progress]: [ 6 / 295 ] simplifiying candidate # 93.448 * [simplify]: Simplifying (* n (* 2 PI)) 93.448 * * [simplify]: iters left: 4 (5 enodes) 93.455 * * [simplify]: iters left: 3 (19 enodes) 93.461 * * [simplify]: iters left: 2 (27 enodes) 93.469 * * [simplify]: iters left: 1 (32 enodes) 93.475 * * [simplify]: Extracting #0: cost 1 inf + 0 93.475 * * [simplify]: Extracting #1: cost 8 inf + 0 93.475 * * [simplify]: Extracting #2: cost 7 inf + 45 93.475 * * [simplify]: Extracting #3: cost 0 inf + 421 93.476 * [simplify]: Simplified to (* (* PI 2) n) 93.476 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 93.476 * * * * [progress]: [ 7 / 295 ] simplifiying candidate # 93.476 * [simplify]: Simplifying (* n (* 2 PI)) 93.476 * * [simplify]: iters left: 4 (5 enodes) 93.478 * * [simplify]: iters left: 3 (19 enodes) 93.481 * * [simplify]: iters left: 2 (27 enodes) 93.485 * * [simplify]: iters left: 1 (32 enodes) 93.489 * * [simplify]: Extracting #0: cost 1 inf + 0 93.489 * * [simplify]: Extracting #1: cost 8 inf + 0 93.489 * * [simplify]: Extracting #2: cost 7 inf + 45 93.489 * * [simplify]: Extracting #3: cost 0 inf + 421 93.489 * [simplify]: Simplified to (* (* PI 2) n) 93.489 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 93.489 * * * * [progress]: [ 8 / 295 ] simplifiying candidate # 93.490 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 93.490 * * [simplify]: iters left: 5 (9 enodes) 93.492 * * [simplify]: iters left: 4 (37 enodes) 93.498 * * [simplify]: iters left: 3 (57 enodes) 93.513 * * [simplify]: iters left: 2 (93 enodes) 93.545 * * [simplify]: iters left: 1 (170 enodes) 93.612 * * [simplify]: Extracting #0: cost 1 inf + 0 93.612 * * [simplify]: Extracting #1: cost 13 inf + 0 93.612 * * [simplify]: Extracting #2: cost 59 inf + 1 93.613 * * [simplify]: Extracting #3: cost 78 inf + 176 93.614 * * [simplify]: Extracting #4: cost 40 inf + 3875 93.619 * * [simplify]: Extracting #5: cost 7 inf + 16988 93.625 * * [simplify]: Extracting #6: cost 0 inf + 20577 93.631 * * [simplify]: Extracting #7: cost 0 inf + 20336 93.637 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 93.637 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))))) (sqrt k))) 93.637 * * * * [progress]: [ 9 / 295 ] simplifiying candidate # 93.637 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 93.638 * * [simplify]: iters left: 6 (7 enodes) 93.643 * * [simplify]: iters left: 5 (32 enodes) 93.654 * * [simplify]: iters left: 4 (47 enodes) 93.668 * * [simplify]: iters left: 3 (53 enodes) 93.683 * * [simplify]: iters left: 2 (60 enodes) 93.699 * * [simplify]: Extracting #0: cost 1 inf + 0 93.700 * * [simplify]: Extracting #1: cost 3 inf + 0 93.700 * * [simplify]: Extracting #2: cost 11 inf + 0 93.700 * * [simplify]: Extracting #3: cost 17 inf + 3 93.700 * * [simplify]: Extracting #4: cost 14 inf + 129 93.700 * * [simplify]: Extracting #5: cost 3 inf + 794 93.701 * * [simplify]: Extracting #6: cost 0 inf + 1162 93.701 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 93.701 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))))) (sqrt k))) 93.702 * * * * [progress]: [ 10 / 295 ] simplifiying candidate # 93.702 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 93.702 * * [simplify]: iters left: 6 (7 enodes) 93.707 * * [simplify]: iters left: 5 (32 enodes) 93.718 * * [simplify]: iters left: 4 (47 enodes) 93.736 * * [simplify]: iters left: 3 (53 enodes) 93.752 * * [simplify]: iters left: 2 (60 enodes) 93.769 * * [simplify]: Extracting #0: cost 1 inf + 0 93.769 * * [simplify]: Extracting #1: cost 3 inf + 0 93.769 * * [simplify]: Extracting #2: cost 11 inf + 0 93.769 * * [simplify]: Extracting #3: cost 17 inf + 3 93.769 * * [simplify]: Extracting #4: cost 14 inf + 129 93.769 * * [simplify]: Extracting #5: cost 3 inf + 794 93.770 * * [simplify]: Extracting #6: cost 0 inf + 1082 93.771 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 93.771 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))))) (sqrt k))) 93.771 * * * * [progress]: [ 11 / 295 ] simplifiying candidate # 93.771 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 93.772 * * [simplify]: iters left: 6 (8 enodes) 93.777 * * [simplify]: iters left: 5 (32 enodes) 93.787 * * [simplify]: iters left: 4 (41 enodes) 93.799 * * [simplify]: Extracting #0: cost 1 inf + 0 93.799 * * [simplify]: Extracting #1: cost 4 inf + 0 93.800 * * [simplify]: Extracting #2: cost 8 inf + 0 93.800 * * [simplify]: Extracting #3: cost 9 inf + 163 93.800 * * [simplify]: Extracting #4: cost 13 inf + 164 93.800 * * [simplify]: Extracting #5: cost 10 inf + 249 93.800 * * [simplify]: Extracting #6: cost 3 inf + 986 93.801 * * [simplify]: Extracting #7: cost 0 inf + 1474 93.801 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 93.801 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))) (sqrt k))) 93.802 * * * * [progress]: [ 12 / 295 ] simplifiying candidate # 93.802 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 93.802 * * [simplify]: iters left: 6 (8 enodes) 93.807 * * [simplify]: iters left: 5 (32 enodes) 93.816 * * [simplify]: iters left: 4 (41 enodes) 93.824 * * [simplify]: Extracting #0: cost 1 inf + 0 93.824 * * [simplify]: Extracting #1: cost 4 inf + 0 93.824 * * [simplify]: Extracting #2: cost 8 inf + 0 93.824 * * [simplify]: Extracting #3: cost 9 inf + 83 93.824 * * [simplify]: Extracting #4: cost 13 inf + 84 93.824 * * [simplify]: Extracting #5: cost 10 inf + 169 93.824 * * [simplify]: Extracting #6: cost 3 inf + 866 93.824 * * [simplify]: Extracting #7: cost 0 inf + 1314 93.825 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 93.825 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))) (sqrt k))) 93.825 * * * * [progress]: [ 13 / 295 ] simplifiying candidate # 93.825 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 93.825 * * [simplify]: iters left: 6 (7 enodes) 93.828 * * [simplify]: iters left: 5 (29 enodes) 93.832 * * [simplify]: iters left: 4 (38 enodes) 93.838 * * [simplify]: Extracting #0: cost 1 inf + 0 93.838 * * [simplify]: Extracting #1: cost 4 inf + 0 93.838 * * [simplify]: Extracting #2: cost 5 inf + 1 93.838 * * [simplify]: Extracting #3: cost 9 inf + 1 93.838 * * [simplify]: Extracting #4: cost 13 inf + 2 93.838 * * [simplify]: Extracting #5: cost 12 inf + 4 93.839 * * [simplify]: Extracting #6: cost 2 inf + 746 93.839 * * [simplify]: Extracting #7: cost 0 inf + 1152 93.839 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 93.839 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))) (sqrt k))) 93.839 * * * * [progress]: [ 14 / 295 ] simplifiying candidate # 93.839 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 93.840 * * [simplify]: iters left: 6 (8 enodes) 93.843 * * [simplify]: iters left: 5 (32 enodes) 93.854 * * [simplify]: iters left: 4 (41 enodes) 93.869 * * [simplify]: Extracting #0: cost 1 inf + 0 93.869 * * [simplify]: Extracting #1: cost 4 inf + 0 93.869 * * [simplify]: Extracting #2: cost 8 inf + 0 93.870 * * [simplify]: Extracting #3: cost 9 inf + 163 93.870 * * [simplify]: Extracting #4: cost 13 inf + 164 93.870 * * [simplify]: Extracting #5: cost 10 inf + 249 93.870 * * [simplify]: Extracting #6: cost 3 inf + 906 93.871 * * [simplify]: Extracting #7: cost 0 inf + 1314 93.871 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 93.871 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))) (sqrt k))) 93.871 * * * * [progress]: [ 15 / 295 ] simplifiying candidate # 93.872 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 93.872 * * [simplify]: iters left: 6 (8 enodes) 93.877 * * [simplify]: iters left: 5 (32 enodes) 93.885 * * [simplify]: iters left: 4 (41 enodes) 93.891 * * [simplify]: Extracting #0: cost 1 inf + 0 93.891 * * [simplify]: Extracting #1: cost 4 inf + 0 93.891 * * [simplify]: Extracting #2: cost 8 inf + 0 93.891 * * [simplify]: Extracting #3: cost 9 inf + 83 93.891 * * [simplify]: Extracting #4: cost 13 inf + 84 93.891 * * [simplify]: Extracting #5: cost 10 inf + 169 93.891 * * [simplify]: Extracting #6: cost 3 inf + 786 93.892 * * [simplify]: Extracting #7: cost 0 inf + 1154 93.892 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 93.892 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))) (sqrt k))) 93.892 * * * * [progress]: [ 16 / 295 ] simplifiying candidate # 93.892 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 93.892 * * [simplify]: iters left: 6 (7 enodes) 93.895 * * [simplify]: iters left: 5 (29 enodes) 93.900 * * [simplify]: iters left: 4 (38 enodes) 93.905 * * [simplify]: Extracting #0: cost 1 inf + 0 93.905 * * [simplify]: Extracting #1: cost 4 inf + 0 93.905 * * [simplify]: Extracting #2: cost 5 inf + 1 93.905 * * [simplify]: Extracting #3: cost 9 inf + 1 93.905 * * [simplify]: Extracting #4: cost 13 inf + 2 93.905 * * [simplify]: Extracting #5: cost 12 inf + 4 93.906 * * [simplify]: Extracting #6: cost 2 inf + 666 93.906 * * [simplify]: Extracting #7: cost 0 inf + 992 93.906 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 93.906 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))) (sqrt k))) 93.906 * * * * [progress]: [ 17 / 295 ] simplifiying candidate # 93.907 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 93.907 * * [simplify]: iters left: 6 (8 enodes) 93.910 * * [simplify]: iters left: 5 (30 enodes) 93.919 * * [simplify]: iters left: 4 (37 enodes) 93.930 * * [simplify]: Extracting #0: cost 1 inf + 0 93.930 * * [simplify]: Extracting #1: cost 6 inf + 0 93.931 * * [simplify]: Extracting #2: cost 12 inf + 0 93.931 * * [simplify]: Extracting #3: cost 11 inf + 405 93.931 * * [simplify]: Extracting #4: cost 10 inf + 407 93.931 * * [simplify]: Extracting #5: cost 4 inf + 1220 93.932 * * [simplify]: Extracting #6: cost 0 inf + 1869 93.932 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 93.932 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 93.933 * * * * [progress]: [ 18 / 295 ] simplifiying candidate # 93.933 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 93.933 * * [simplify]: iters left: 6 (9 enodes) 93.938 * * [simplify]: iters left: 5 (33 enodes) 93.949 * * [simplify]: iters left: 4 (43 enodes) 93.963 * * [simplify]: iters left: 3 (45 enodes) 93.976 * * [simplify]: Extracting #0: cost 1 inf + 0 93.976 * * [simplify]: Extracting #1: cost 8 inf + 0 93.976 * * [simplify]: Extracting #2: cost 16 inf + 0 93.976 * * [simplify]: Extracting #3: cost 16 inf + 284 93.976 * * [simplify]: Extracting #4: cost 11 inf + 610 93.977 * * [simplify]: Extracting #5: cost 8 inf + 815 93.977 * * [simplify]: Extracting #6: cost 0 inf + 2517 93.978 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 93.978 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))) (sqrt k))) 93.978 * * * * [progress]: [ 19 / 295 ] simplifiying candidate # 93.979 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 93.979 * * [simplify]: iters left: 6 (8 enodes) 93.983 * * [simplify]: iters left: 5 (30 enodes) 93.993 * * [simplify]: iters left: 4 (40 enodes) 94.009 * * [simplify]: iters left: 3 (42 enodes) 94.015 * * [simplify]: Extracting #0: cost 1 inf + 0 94.015 * * [simplify]: Extracting #1: cost 8 inf + 0 94.015 * * [simplify]: Extracting #2: cost 12 inf + 82 94.015 * * [simplify]: Extracting #3: cost 13 inf + 405 94.016 * * [simplify]: Extracting #4: cost 12 inf + 407 94.016 * * [simplify]: Extracting #5: cost 5 inf + 1383 94.016 * * [simplify]: Extracting #6: cost 0 inf + 2195 94.016 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 94.016 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))))) (sqrt k))) 94.017 * * * * [progress]: [ 20 / 295 ] simplifiying candidate # 94.017 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 94.017 * * [simplify]: iters left: 6 (9 enodes) 94.020 * * [simplify]: iters left: 5 (33 enodes) 94.025 * * [simplify]: iters left: 4 (43 enodes) 94.032 * * [simplify]: iters left: 3 (45 enodes) 94.040 * * [simplify]: Extracting #0: cost 1 inf + 0 94.040 * * [simplify]: Extracting #1: cost 8 inf + 0 94.040 * * [simplify]: Extracting #2: cost 16 inf + 0 94.040 * * [simplify]: Extracting #3: cost 16 inf + 284 94.041 * * [simplify]: Extracting #4: cost 11 inf + 610 94.041 * * [simplify]: Extracting #5: cost 8 inf + 815 94.042 * * [simplify]: Extracting #6: cost 0 inf + 2517 94.042 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 94.042 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))) (sqrt k))) 94.043 * * * * [progress]: [ 21 / 295 ] simplifiying candidate # 94.043 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 94.043 * * [simplify]: iters left: 6 (8 enodes) 94.048 * * [simplify]: iters left: 5 (30 enodes) 94.058 * * [simplify]: iters left: 4 (35 enodes) 94.067 * * [simplify]: Extracting #0: cost 1 inf + 0 94.067 * * [simplify]: Extracting #1: cost 6 inf + 0 94.067 * * [simplify]: Extracting #2: cost 8 inf + 42 94.067 * * [simplify]: Extracting #3: cost 11 inf + 83 94.067 * * [simplify]: Extracting #4: cost 10 inf + 85 94.067 * * [simplify]: Extracting #5: cost 4 inf + 658 94.067 * * [simplify]: Extracting #6: cost 0 inf + 1227 94.068 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 94.068 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)))) (sqrt k))) 94.068 * * * * [progress]: [ 22 / 295 ] simplifiying candidate # 94.068 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 94.068 * * [simplify]: iters left: 6 (8 enodes) 94.071 * * [simplify]: iters left: 5 (30 enodes) 94.076 * * [simplify]: iters left: 4 (40 enodes) 94.082 * * [simplify]: iters left: 3 (42 enodes) 94.088 * * [simplify]: Extracting #0: cost 1 inf + 0 94.088 * * [simplify]: Extracting #1: cost 8 inf + 0 94.088 * * [simplify]: Extracting #2: cost 12 inf + 42 94.088 * * [simplify]: Extracting #3: cost 13 inf + 245 94.088 * * [simplify]: Extracting #4: cost 12 inf + 247 94.088 * * [simplify]: Extracting #5: cost 5 inf + 1143 94.089 * * [simplify]: Extracting #6: cost 0 inf + 1875 94.089 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 94.089 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))))) (sqrt k))) 94.089 * * * * [progress]: [ 23 / 295 ] simplifiying candidate # 94.089 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 94.090 * * [simplify]: iters left: 6 (8 enodes) 94.092 * * [simplify]: iters left: 5 (30 enodes) 94.100 * * [simplify]: iters left: 4 (40 enodes) 94.115 * * [simplify]: iters left: 3 (42 enodes) 94.127 * * [simplify]: Extracting #0: cost 1 inf + 0 94.127 * * [simplify]: Extracting #1: cost 8 inf + 0 94.127 * * [simplify]: Extracting #2: cost 11 inf + 203 94.127 * * [simplify]: Extracting #3: cost 13 inf + 405 94.127 * * [simplify]: Extracting #4: cost 12 inf + 407 94.128 * * [simplify]: Extracting #5: cost 3 inf + 1789 94.128 * * [simplify]: Extracting #6: cost 0 inf + 2195 94.129 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 94.129 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))))) (sqrt k))) 94.129 * * * * [progress]: [ 24 / 295 ] simplifiying candidate # 94.130 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 94.130 * * [simplify]: iters left: 6 (8 enodes) 94.134 * * [simplify]: iters left: 5 (30 enodes) 94.143 * * [simplify]: iters left: 4 (40 enodes) 94.150 * * [simplify]: iters left: 3 (42 enodes) 94.156 * * [simplify]: Extracting #0: cost 1 inf + 0 94.156 * * [simplify]: Extracting #1: cost 8 inf + 0 94.156 * * [simplify]: Extracting #2: cost 11 inf + 123 94.156 * * [simplify]: Extracting #3: cost 13 inf + 245 94.156 * * [simplify]: Extracting #4: cost 12 inf + 247 94.156 * * [simplify]: Extracting #5: cost 3 inf + 1509 94.156 * * [simplify]: Extracting #6: cost 0 inf + 1875 94.157 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 94.157 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))))) (sqrt k))) 94.157 * * * * [progress]: [ 25 / 295 ] simplifiying candidate # 94.157 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 94.157 * * [simplify]: iters left: 6 (7 enodes) 94.159 * * [simplify]: iters left: 5 (28 enodes) 94.164 * * [simplify]: iters left: 4 (35 enodes) 94.169 * * [simplify]: Extracting #0: cost 1 inf + 0 94.169 * * [simplify]: Extracting #1: cost 6 inf + 0 94.169 * * [simplify]: Extracting #2: cost 7 inf + 2 94.169 * * [simplify]: Extracting #3: cost 11 inf + 2 94.170 * * [simplify]: Extracting #4: cost 9 inf + 45 94.170 * * [simplify]: Extracting #5: cost 4 inf + 455 94.170 * * [simplify]: Extracting #6: cost 0 inf + 1066 94.170 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 94.170 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)))) (sqrt k))) 94.170 * * * * [progress]: [ 26 / 295 ] simplifiying candidate # 94.170 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 94.171 * * [simplify]: iters left: 6 (8 enodes) 94.173 * * [simplify]: iters left: 5 (30 enodes) 94.179 * * [simplify]: iters left: 4 (37 enodes) 94.189 * * [simplify]: Extracting #0: cost 1 inf + 0 94.190 * * [simplify]: Extracting #1: cost 6 inf + 0 94.190 * * [simplify]: Extracting #2: cost 12 inf + 0 94.190 * * [simplify]: Extracting #3: cost 11 inf + 405 94.190 * * [simplify]: Extracting #4: cost 10 inf + 407 94.190 * * [simplify]: Extracting #5: cost 4 inf + 1100 94.191 * * [simplify]: Extracting #6: cost 0 inf + 1629 94.191 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 94.191 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 94.192 * * * * [progress]: [ 27 / 295 ] simplifiying candidate # 94.192 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 94.192 * * [simplify]: iters left: 6 (9 enodes) 94.197 * * [simplify]: iters left: 5 (33 enodes) 94.208 * * [simplify]: iters left: 4 (43 enodes) 94.221 * * [simplify]: iters left: 3 (45 enodes) 94.237 * * [simplify]: Extracting #0: cost 1 inf + 0 94.237 * * [simplify]: Extracting #1: cost 8 inf + 0 94.237 * * [simplify]: Extracting #2: cost 16 inf + 0 94.238 * * [simplify]: Extracting #3: cost 16 inf + 284 94.238 * * [simplify]: Extracting #4: cost 11 inf + 610 94.238 * * [simplify]: Extracting #5: cost 8 inf + 775 94.239 * * [simplify]: Extracting #6: cost 0 inf + 2197 94.239 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 94.239 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))) (sqrt k))) 94.240 * * * * [progress]: [ 28 / 295 ] simplifiying candidate # 94.240 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 94.240 * * [simplify]: iters left: 6 (8 enodes) 94.245 * * [simplify]: iters left: 5 (30 enodes) 94.255 * * [simplify]: iters left: 4 (40 enodes) 94.267 * * [simplify]: iters left: 3 (42 enodes) 94.279 * * [simplify]: Extracting #0: cost 1 inf + 0 94.279 * * [simplify]: Extracting #1: cost 8 inf + 0 94.279 * * [simplify]: Extracting #2: cost 12 inf + 82 94.280 * * [simplify]: Extracting #3: cost 13 inf + 405 94.280 * * [simplify]: Extracting #4: cost 12 inf + 407 94.280 * * [simplify]: Extracting #5: cost 5 inf + 1223 94.281 * * [simplify]: Extracting #6: cost 0 inf + 1875 94.281 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 94.281 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))))) (sqrt k))) 94.281 * * * * [progress]: [ 29 / 295 ] simplifiying candidate # 94.282 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 94.282 * * [simplify]: iters left: 6 (9 enodes) 94.284 * * [simplify]: iters left: 5 (33 enodes) 94.290 * * [simplify]: iters left: 4 (43 enodes) 94.297 * * [simplify]: iters left: 3 (45 enodes) 94.304 * * [simplify]: Extracting #0: cost 1 inf + 0 94.304 * * [simplify]: Extracting #1: cost 8 inf + 0 94.304 * * [simplify]: Extracting #2: cost 16 inf + 0 94.304 * * [simplify]: Extracting #3: cost 16 inf + 284 94.304 * * [simplify]: Extracting #4: cost 11 inf + 610 94.304 * * [simplify]: Extracting #5: cost 8 inf + 775 94.304 * * [simplify]: Extracting #6: cost 0 inf + 2197 94.305 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 94.305 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))) (sqrt k))) 94.305 * * * * [progress]: [ 30 / 295 ] simplifiying candidate # 94.305 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 94.305 * * [simplify]: iters left: 6 (8 enodes) 94.308 * * [simplify]: iters left: 5 (30 enodes) 94.315 * * [simplify]: iters left: 4 (35 enodes) 94.321 * * [simplify]: Extracting #0: cost 1 inf + 0 94.321 * * [simplify]: Extracting #1: cost 6 inf + 0 94.322 * * [simplify]: Extracting #2: cost 8 inf + 42 94.322 * * [simplify]: Extracting #3: cost 11 inf + 83 94.322 * * [simplify]: Extracting #4: cost 10 inf + 85 94.322 * * [simplify]: Extracting #5: cost 4 inf + 538 94.322 * * [simplify]: Extracting #6: cost 0 inf + 987 94.322 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 94.322 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)))) (sqrt k))) 94.322 * * * * [progress]: [ 31 / 295 ] simplifiying candidate # 94.323 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 94.323 * * [simplify]: iters left: 6 (8 enodes) 94.325 * * [simplify]: iters left: 5 (30 enodes) 94.330 * * [simplify]: iters left: 4 (40 enodes) 94.336 * * [simplify]: iters left: 3 (42 enodes) 94.345 * * [simplify]: Extracting #0: cost 1 inf + 0 94.345 * * [simplify]: Extracting #1: cost 8 inf + 0 94.345 * * [simplify]: Extracting #2: cost 12 inf + 42 94.345 * * [simplify]: Extracting #3: cost 13 inf + 245 94.345 * * [simplify]: Extracting #4: cost 12 inf + 247 94.345 * * [simplify]: Extracting #5: cost 5 inf + 983 94.345 * * [simplify]: Extracting #6: cost 0 inf + 1555 94.346 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 94.346 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))))) (sqrt k))) 94.346 * * * * [progress]: [ 32 / 295 ] simplifiying candidate # 94.346 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 94.346 * * [simplify]: iters left: 6 (8 enodes) 94.349 * * [simplify]: iters left: 5 (30 enodes) 94.358 * * [simplify]: iters left: 4 (40 enodes) 94.370 * * [simplify]: iters left: 3 (42 enodes) 94.382 * * [simplify]: Extracting #0: cost 1 inf + 0 94.382 * * [simplify]: Extracting #1: cost 8 inf + 0 94.382 * * [simplify]: Extracting #2: cost 11 inf + 203 94.382 * * [simplify]: Extracting #3: cost 13 inf + 405 94.382 * * [simplify]: Extracting #4: cost 12 inf + 407 94.383 * * [simplify]: Extracting #5: cost 3 inf + 1549 94.384 * * [simplify]: Extracting #6: cost 0 inf + 1875 94.384 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 94.384 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))))) (sqrt k))) 94.385 * * * * [progress]: [ 33 / 295 ] simplifiying candidate # 94.385 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 94.385 * * [simplify]: iters left: 6 (8 enodes) 94.390 * * [simplify]: iters left: 5 (30 enodes) 94.399 * * [simplify]: iters left: 4 (40 enodes) 94.405 * * [simplify]: iters left: 3 (42 enodes) 94.411 * * [simplify]: Extracting #0: cost 1 inf + 0 94.412 * * [simplify]: Extracting #1: cost 8 inf + 0 94.412 * * [simplify]: Extracting #2: cost 11 inf + 123 94.412 * * [simplify]: Extracting #3: cost 13 inf + 245 94.412 * * [simplify]: Extracting #4: cost 12 inf + 247 94.412 * * [simplify]: Extracting #5: cost 3 inf + 1269 94.412 * * [simplify]: Extracting #6: cost 0 inf + 1555 94.413 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 94.413 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))))) (sqrt k))) 94.413 * * * * [progress]: [ 34 / 295 ] simplifiying candidate # 94.413 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 94.413 * * [simplify]: iters left: 6 (7 enodes) 94.415 * * [simplify]: iters left: 5 (28 enodes) 94.420 * * [simplify]: iters left: 4 (35 enodes) 94.425 * * [simplify]: Extracting #0: cost 1 inf + 0 94.425 * * [simplify]: Extracting #1: cost 6 inf + 0 94.425 * * [simplify]: Extracting #2: cost 7 inf + 2 94.425 * * [simplify]: Extracting #3: cost 11 inf + 2 94.425 * * [simplify]: Extracting #4: cost 9 inf + 45 94.425 * * [simplify]: Extracting #5: cost 4 inf + 375 94.425 * * [simplify]: Extracting #6: cost 0 inf + 826 94.425 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 94.425 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)))) (sqrt k))) 94.426 * * * * [progress]: [ 35 / 295 ] simplifiying candidate # 94.426 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 94.426 * * [simplify]: iters left: 6 (7 enodes) 94.428 * * [simplify]: iters left: 5 (30 enodes) 94.433 * * [simplify]: iters left: 4 (49 enodes) 94.441 * * [simplify]: iters left: 3 (59 enodes) 94.462 * * [simplify]: iters left: 2 (64 enodes) 94.479 * * [simplify]: Extracting #0: cost 1 inf + 0 94.479 * * [simplify]: Extracting #1: cost 9 inf + 0 94.479 * * [simplify]: Extracting #2: cost 23 inf + 0 94.480 * * [simplify]: Extracting #3: cost 24 inf + 3 94.480 * * [simplify]: Extracting #4: cost 15 inf + 980 94.481 * * [simplify]: Extracting #5: cost 1 inf + 3007 94.482 * * [simplify]: Extracting #6: cost 0 inf + 3169 94.483 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 94.483 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 94.483 * * * * [progress]: [ 36 / 295 ] simplifiying candidate # 94.484 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 94.484 * * [simplify]: iters left: 6 (8 enodes) 94.489 * * [simplify]: iters left: 5 (33 enodes) 94.500 * * [simplify]: iters left: 4 (55 enodes) 94.518 * * [simplify]: iters left: 3 (72 enodes) 94.539 * * [simplify]: iters left: 2 (84 enodes) 94.562 * * [simplify]: iters left: 1 (88 enodes) 94.584 * * [simplify]: Extracting #0: cost 1 inf + 0 94.584 * * [simplify]: Extracting #1: cost 11 inf + 0 94.584 * * [simplify]: Extracting #2: cost 30 inf + 0 94.584 * * [simplify]: Extracting #3: cost 33 inf + 84 94.585 * * [simplify]: Extracting #4: cost 12 inf + 2402 94.586 * * [simplify]: Extracting #5: cost 0 inf + 4469 94.588 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 94.588 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) (sqrt k))) 94.588 * * * * [progress]: [ 37 / 295 ] simplifiying candidate # 94.589 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 94.589 * * [simplify]: iters left: 6 (7 enodes) 94.593 * * [simplify]: iters left: 5 (30 enodes) 94.605 * * [simplify]: iters left: 4 (52 enodes) 94.626 * * [simplify]: iters left: 3 (70 enodes) 94.646 * * [simplify]: iters left: 2 (81 enodes) 94.668 * * [simplify]: iters left: 1 (84 enodes) 94.689 * * [simplify]: Extracting #0: cost 1 inf + 0 94.689 * * [simplify]: Extracting #1: cost 11 inf + 0 94.690 * * [simplify]: Extracting #2: cost 25 inf + 203 94.690 * * [simplify]: Extracting #3: cost 25 inf + 530 94.691 * * [simplify]: Extracting #4: cost 4 inf + 2936 94.692 * * [simplify]: Extracting #5: cost 0 inf + 3504 94.693 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 94.693 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) (sqrt k))) 94.693 * * * * [progress]: [ 38 / 295 ] simplifiying candidate # 94.694 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 94.694 * * [simplify]: iters left: 6 (8 enodes) 94.699 * * [simplify]: iters left: 5 (33 enodes) 94.710 * * [simplify]: iters left: 4 (55 enodes) 94.727 * * [simplify]: iters left: 3 (72 enodes) 94.747 * * [simplify]: iters left: 2 (84 enodes) 94.774 * * [simplify]: iters left: 1 (88 enodes) 94.791 * * [simplify]: Extracting #0: cost 1 inf + 0 94.791 * * [simplify]: Extracting #1: cost 11 inf + 0 94.791 * * [simplify]: Extracting #2: cost 30 inf + 0 94.791 * * [simplify]: Extracting #3: cost 33 inf + 44 94.792 * * [simplify]: Extracting #4: cost 12 inf + 2362 94.792 * * [simplify]: Extracting #5: cost 0 inf + 4469 94.793 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 94.793 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) (sqrt k))) 94.793 * * * * [progress]: [ 39 / 295 ] simplifiying candidate # 94.793 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 94.794 * * [simplify]: iters left: 6 (7 enodes) 94.796 * * [simplify]: iters left: 5 (30 enodes) 94.801 * * [simplify]: iters left: 4 (48 enodes) 94.809 * * [simplify]: iters left: 3 (56 enodes) 94.816 * * [simplify]: Extracting #0: cost 1 inf + 0 94.816 * * [simplify]: Extracting #1: cost 8 inf + 0 94.816 * * [simplify]: Extracting #2: cost 15 inf + 43 94.817 * * [simplify]: Extracting #3: cost 16 inf + 86 94.817 * * [simplify]: Extracting #4: cost 5 inf + 911 94.817 * * [simplify]: Extracting #5: cost 1 inf + 1198 94.818 * * [simplify]: Extracting #6: cost 0 inf + 1320 94.818 * [simplify]: Simplified to (/ (- 1 k) 2) 94.818 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) (sqrt k))) 94.818 * * * * [progress]: [ 40 / 295 ] simplifiying candidate # 94.819 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 94.819 * * [simplify]: iters left: 6 (7 enodes) 94.823 * * [simplify]: iters left: 5 (30 enodes) 94.834 * * [simplify]: iters left: 4 (52 enodes) 94.850 * * [simplify]: iters left: 3 (70 enodes) 94.870 * * [simplify]: iters left: 2 (81 enodes) 94.895 * * [simplify]: iters left: 1 (84 enodes) 94.916 * * [simplify]: Extracting #0: cost 1 inf + 0 94.917 * * [simplify]: Extracting #1: cost 11 inf + 0 94.917 * * [simplify]: Extracting #2: cost 25 inf + 123 94.917 * * [simplify]: Extracting #3: cost 25 inf + 330 94.918 * * [simplify]: Extracting #4: cost 4 inf + 2256 94.919 * * [simplify]: Extracting #5: cost 0 inf + 2704 94.920 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 94.920 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) (sqrt k))) 94.921 * * * * [progress]: [ 41 / 295 ] simplifiying candidate # 94.921 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 94.921 * * [simplify]: iters left: 6 (7 enodes) 94.926 * * [simplify]: iters left: 5 (31 enodes) 94.937 * * [simplify]: iters left: 4 (51 enodes) 94.952 * * [simplify]: iters left: 3 (64 enodes) 94.970 * * [simplify]: iters left: 2 (77 enodes) 94.982 * * [simplify]: iters left: 1 (84 enodes) 94.993 * * [simplify]: Extracting #0: cost 1 inf + 0 94.993 * * [simplify]: Extracting #1: cost 11 inf + 0 94.993 * * [simplify]: Extracting #2: cost 26 inf + 82 94.994 * * [simplify]: Extracting #3: cost 24 inf + 692 94.994 * * [simplify]: Extracting #4: cost 3 inf + 3057 94.995 * * [simplify]: Extracting #5: cost 0 inf + 3504 94.995 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 94.995 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) (sqrt k))) 94.995 * * * * [progress]: [ 42 / 295 ] simplifiying candidate # 94.996 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 94.996 * * [simplify]: iters left: 6 (7 enodes) 94.998 * * [simplify]: iters left: 5 (31 enodes) 95.004 * * [simplify]: iters left: 4 (51 enodes) 95.016 * * [simplify]: iters left: 3 (64 enodes) 95.034 * * [simplify]: iters left: 2 (77 enodes) 95.048 * * [simplify]: iters left: 1 (84 enodes) 95.059 * * [simplify]: Extracting #0: cost 1 inf + 0 95.059 * * [simplify]: Extracting #1: cost 11 inf + 0 95.059 * * [simplify]: Extracting #2: cost 26 inf + 42 95.059 * * [simplify]: Extracting #3: cost 24 inf + 452 95.059 * * [simplify]: Extracting #4: cost 3 inf + 2337 95.060 * * [simplify]: Extracting #5: cost 0 inf + 2704 95.060 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 95.061 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) (sqrt k))) 95.061 * * * * [progress]: [ 43 / 295 ] simplifiying candidate # 95.061 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 95.061 * * [simplify]: iters left: 6 (6 enodes) 95.063 * * [simplify]: iters left: 5 (29 enodes) 95.069 * * [simplify]: iters left: 4 (44 enodes) 95.081 * * [simplify]: iters left: 3 (50 enodes) 95.089 * * [simplify]: iters left: 2 (57 enodes) 95.097 * * [simplify]: Extracting #0: cost 1 inf + 0 95.097 * * [simplify]: Extracting #1: cost 9 inf + 0 95.097 * * [simplify]: Extracting #2: cost 15 inf + 3 95.097 * * [simplify]: Extracting #3: cost 11 inf + 131 95.097 * * [simplify]: Extracting #4: cost 2 inf + 711 95.098 * * [simplify]: Extracting #5: cost 0 inf + 836 95.098 * [simplify]: Simplified to (- 1/4 (/ k 4)) 95.098 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) (sqrt k))) 95.098 * * * * [progress]: [ 44 / 295 ] simplifiying candidate # 95.098 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 95.098 * * [simplify]: iters left: 6 (9 enodes) 95.101 * * [simplify]: iters left: 5 (36 enodes) 95.107 * * [simplify]: iters left: 4 (58 enodes) 95.119 * * [simplify]: iters left: 3 (71 enodes) 95.137 * * [simplify]: iters left: 2 (79 enodes) 95.157 * * [simplify]: iters left: 1 (80 enodes) 95.176 * * [simplify]: Extracting #0: cost 1 inf + 0 95.176 * * [simplify]: Extracting #1: cost 9 inf + 0 95.176 * * [simplify]: Extracting #2: cost 24 inf + 0 95.177 * * [simplify]: Extracting #3: cost 29 inf + 2 95.177 * * [simplify]: Extracting #4: cost 10 inf + 2233 95.179 * * [simplify]: Extracting #5: cost 1 inf + 4013 95.180 * * [simplify]: Extracting #6: cost 0 inf + 4135 95.181 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 95.181 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 95.182 * * * * [progress]: [ 45 / 295 ] simplifiying candidate # 95.182 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 95.182 * * [simplify]: iters left: 6 (10 enodes) 95.189 * * [simplify]: iters left: 5 (39 enodes) 95.202 * * [simplify]: iters left: 4 (64 enodes) 95.220 * * [simplify]: iters left: 3 (86 enodes) 95.244 * * [simplify]: iters left: 2 (99 enodes) 95.274 * * [simplify]: iters left: 1 (104 enodes) 95.288 * * [simplify]: Extracting #0: cost 1 inf + 0 95.288 * * [simplify]: Extracting #1: cost 11 inf + 0 95.288 * * [simplify]: Extracting #2: cost 31 inf + 0 95.288 * * [simplify]: Extracting #3: cost 39 inf + 2 95.289 * * [simplify]: Extracting #4: cost 22 inf + 1871 95.289 * * [simplify]: Extracting #5: cost 4 inf + 4865 95.290 * * [simplify]: Extracting #6: cost 0 inf + 5675 95.291 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 95.291 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) (sqrt k))) 95.292 * * * * [progress]: [ 46 / 295 ] simplifiying candidate # 95.292 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 95.292 * * [simplify]: iters left: 6 (9 enodes) 95.295 * * [simplify]: iters left: 5 (36 enodes) 95.301 * * [simplify]: iters left: 4 (61 enodes) 95.310 * * [simplify]: iters left: 3 (84 enodes) 95.322 * * [simplify]: iters left: 2 (96 enodes) 95.334 * * [simplify]: iters left: 1 (100 enodes) 95.360 * * [simplify]: Extracting #0: cost 1 inf + 0 95.360 * * [simplify]: Extracting #1: cost 11 inf + 0 95.360 * * [simplify]: Extracting #2: cost 27 inf + 82 95.361 * * [simplify]: Extracting #3: cost 29 inf + 651 95.362 * * [simplify]: Extracting #4: cost 12 inf + 2763 95.363 * * [simplify]: Extracting #5: cost 1 inf + 4587 95.365 * * [simplify]: Extracting #6: cost 0 inf + 4710 95.366 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 95.366 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) (sqrt k))) 95.366 * * * * [progress]: [ 47 / 295 ] simplifiying candidate # 95.366 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 95.366 * * [simplify]: iters left: 6 (10 enodes) 95.370 * * [simplify]: iters left: 5 (39 enodes) 95.377 * * [simplify]: iters left: 4 (64 enodes) 95.387 * * [simplify]: iters left: 3 (86 enodes) 95.403 * * [simplify]: iters left: 2 (99 enodes) 95.419 * * [simplify]: iters left: 1 (104 enodes) 95.432 * * [simplify]: Extracting #0: cost 1 inf + 0 95.432 * * [simplify]: Extracting #1: cost 11 inf + 0 95.432 * * [simplify]: Extracting #2: cost 31 inf + 0 95.432 * * [simplify]: Extracting #3: cost 39 inf + 2 95.432 * * [simplify]: Extracting #4: cost 22 inf + 1831 95.433 * * [simplify]: Extracting #5: cost 4 inf + 4785 95.434 * * [simplify]: Extracting #6: cost 0 inf + 5595 95.435 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 95.435 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) (sqrt k))) 95.435 * * * * [progress]: [ 48 / 295 ] simplifiying candidate # 95.436 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 95.436 * * [simplify]: iters left: 6 (9 enodes) 95.439 * * [simplify]: iters left: 5 (36 enodes) 95.446 * * [simplify]: iters left: 4 (57 enodes) 95.457 * * [simplify]: iters left: 3 (73 enodes) 95.467 * * [simplify]: iters left: 2 (80 enodes) 95.477 * * [simplify]: iters left: 1 (81 enodes) 95.486 * * [simplify]: Extracting #0: cost 1 inf + 0 95.487 * * [simplify]: Extracting #1: cost 9 inf + 0 95.487 * * [simplify]: Extracting #2: cost 18 inf + 43 95.487 * * [simplify]: Extracting #3: cost 23 inf + 85 95.487 * * [simplify]: Extracting #4: cost 9 inf + 1271 95.488 * * [simplify]: Extracting #5: cost 0 inf + 2370 95.488 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 95.488 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 95.488 * * * * [progress]: [ 49 / 295 ] simplifiying candidate # 95.489 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 95.489 * * [simplify]: iters left: 6 (9 enodes) 95.491 * * [simplify]: iters left: 5 (36 enodes) 95.497 * * [simplify]: iters left: 4 (61 enodes) 95.507 * * [simplify]: iters left: 3 (84 enodes) 95.519 * * [simplify]: iters left: 2 (96 enodes) 95.534 * * [simplify]: iters left: 1 (100 enodes) 95.546 * * [simplify]: Extracting #0: cost 1 inf + 0 95.546 * * [simplify]: Extracting #1: cost 11 inf + 0 95.546 * * [simplify]: Extracting #2: cost 27 inf + 42 95.547 * * [simplify]: Extracting #3: cost 29 inf + 411 95.547 * * [simplify]: Extracting #4: cost 12 inf + 2163 95.548 * * [simplify]: Extracting #5: cost 1 inf + 3707 95.548 * * [simplify]: Extracting #6: cost 0 inf + 3830 95.549 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 95.549 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) (sqrt k))) 95.549 * * * * [progress]: [ 50 / 295 ] simplifiying candidate # 95.550 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 95.550 * * [simplify]: iters left: 6 (9 enodes) 95.553 * * [simplify]: iters left: 5 (36 enodes) 95.560 * * [simplify]: iters left: 4 (62 enodes) 95.569 * * [simplify]: iters left: 3 (78 enodes) 95.579 * * [simplify]: iters left: 2 (90 enodes) 95.596 * * [simplify]: iters left: 1 (94 enodes) 95.619 * * [simplify]: Extracting #0: cost 1 inf + 0 95.619 * * [simplify]: Extracting #1: cost 11 inf + 0 95.620 * * [simplify]: Extracting #2: cost 27 inf + 1 95.620 * * [simplify]: Extracting #3: cost 29 inf + 409 95.620 * * [simplify]: Extracting #4: cost 12 inf + 2359 95.622 * * [simplify]: Extracting #5: cost 2 inf + 4022 95.623 * * [simplify]: Extracting #6: cost 0 inf + 4466 95.625 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 95.625 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) (sqrt k))) 95.625 * * * * [progress]: [ 51 / 295 ] simplifiying candidate # 95.625 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 95.625 * * [simplify]: iters left: 6 (9 enodes) 95.634 * * [simplify]: iters left: 5 (36 enodes) 95.641 * * [simplify]: iters left: 4 (62 enodes) 95.649 * * [simplify]: iters left: 3 (78 enodes) 95.660 * * [simplify]: iters left: 2 (90 enodes) 95.682 * * [simplify]: iters left: 1 (94 enodes) 95.694 * * [simplify]: Extracting #0: cost 1 inf + 0 95.694 * * [simplify]: Extracting #1: cost 11 inf + 0 95.694 * * [simplify]: Extracting #2: cost 27 inf + 1 95.694 * * [simplify]: Extracting #3: cost 29 inf + 249 95.694 * * [simplify]: Extracting #4: cost 12 inf + 1879 95.695 * * [simplify]: Extracting #5: cost 2 inf + 3302 95.696 * * [simplify]: Extracting #6: cost 0 inf + 3666 95.696 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 95.697 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) (sqrt k))) 95.697 * * * * [progress]: [ 52 / 295 ] simplifiying candidate # 95.697 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 95.697 * * [simplify]: iters left: 6 (8 enodes) 95.700 * * [simplify]: iters left: 5 (34 enodes) 95.707 * * [simplify]: iters left: 4 (58 enodes) 95.719 * * [simplify]: iters left: 3 (65 enodes) 95.733 * * [simplify]: Extracting #0: cost 1 inf + 0 95.733 * * [simplify]: Extracting #1: cost 8 inf + 0 95.733 * * [simplify]: Extracting #2: cost 14 inf + 3 95.734 * * [simplify]: Extracting #3: cost 17 inf + 5 95.734 * * [simplify]: Extracting #4: cost 12 inf + 292 95.734 * * [simplify]: Extracting #5: cost 1 inf + 1355 95.734 * * [simplify]: Extracting #6: cost 0 inf + 1478 95.734 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 95.735 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)))) (sqrt k))) 95.735 * * * * [progress]: [ 53 / 295 ] simplifiying candidate # 95.735 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 95.735 * * [simplify]: iters left: 6 (8 enodes) 95.738 * * [simplify]: iters left: 5 (33 enodes) 95.743 * * [simplify]: iters left: 4 (52 enodes) 95.751 * * [simplify]: iters left: 3 (62 enodes) 95.767 * * [simplify]: iters left: 2 (67 enodes) 95.786 * * [simplify]: Extracting #0: cost 1 inf + 0 95.786 * * [simplify]: Extracting #1: cost 9 inf + 0 95.786 * * [simplify]: Extracting #2: cost 23 inf + 0 95.786 * * [simplify]: Extracting #3: cost 24 inf + 285 95.786 * * [simplify]: Extracting #4: cost 18 inf + 975 95.787 * * [simplify]: Extracting #5: cost 7 inf + 2516 95.788 * * [simplify]: Extracting #6: cost 0 inf + 3891 95.790 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 95.790 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 95.790 * * * * [progress]: [ 54 / 295 ] simplifiying candidate # 95.790 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 95.790 * * [simplify]: iters left: 6 (9 enodes) 95.796 * * [simplify]: iters left: 5 (36 enodes) 95.808 * * [simplify]: iters left: 4 (58 enodes) 95.825 * * [simplify]: iters left: 3 (75 enodes) 95.848 * * [simplify]: iters left: 2 (87 enodes) 95.875 * * [simplify]: iters left: 1 (91 enodes) 95.898 * * [simplify]: Extracting #0: cost 1 inf + 0 95.899 * * [simplify]: Extracting #1: cost 11 inf + 0 95.899 * * [simplify]: Extracting #2: cost 30 inf + 0 95.899 * * [simplify]: Extracting #3: cost 36 inf + 83 95.899 * * [simplify]: Extracting #4: cost 30 inf + 451 95.900 * * [simplify]: Extracting #5: cost 10 inf + 3649 95.901 * * [simplify]: Extracting #6: cost 0 inf + 5431 95.902 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 95.902 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) (sqrt k))) 95.902 * * * * [progress]: [ 55 / 295 ] simplifiying candidate # 95.902 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 95.902 * * [simplify]: iters left: 6 (8 enodes) 95.905 * * [simplify]: iters left: 5 (33 enodes) 95.911 * * [simplify]: iters left: 4 (55 enodes) 95.920 * * [simplify]: iters left: 3 (73 enodes) 95.930 * * [simplify]: iters left: 2 (84 enodes) 95.945 * * [simplify]: iters left: 1 (87 enodes) 95.967 * * [simplify]: Extracting #0: cost 1 inf + 0 95.967 * * [simplify]: Extracting #1: cost 11 inf + 0 95.968 * * [simplify]: Extracting #2: cost 25 inf + 203 95.968 * * [simplify]: Extracting #3: cost 29 inf + 407 95.968 * * [simplify]: Extracting #4: cost 24 inf + 896 95.969 * * [simplify]: Extracting #5: cost 9 inf + 2805 95.970 * * [simplify]: Extracting #6: cost 0 inf + 4466 95.972 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 95.972 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) (sqrt k))) 95.972 * * * * [progress]: [ 56 / 295 ] simplifiying candidate # 95.972 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 95.973 * * [simplify]: iters left: 6 (9 enodes) 95.978 * * [simplify]: iters left: 5 (36 enodes) 95.993 * * [simplify]: iters left: 4 (58 enodes) 96.011 * * [simplify]: iters left: 3 (75 enodes) 96.034 * * [simplify]: iters left: 2 (87 enodes) 96.058 * * [simplify]: iters left: 1 (91 enodes) 96.081 * * [simplify]: Extracting #0: cost 1 inf + 0 96.081 * * [simplify]: Extracting #1: cost 11 inf + 0 96.081 * * [simplify]: Extracting #2: cost 30 inf + 0 96.081 * * [simplify]: Extracting #3: cost 36 inf + 43 96.081 * * [simplify]: Extracting #4: cost 30 inf + 451 96.082 * * [simplify]: Extracting #5: cost 10 inf + 3769 96.084 * * [simplify]: Extracting #6: cost 0 inf + 5431 96.086 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 96.086 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) (sqrt k))) 96.087 * * * * [progress]: [ 57 / 295 ] simplifiying candidate # 96.087 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 96.087 * * [simplify]: iters left: 6 (8 enodes) 96.092 * * [simplify]: iters left: 5 (33 enodes) 96.104 * * [simplify]: iters left: 4 (51 enodes) 96.119 * * [simplify]: iters left: 3 (59 enodes) 96.135 * * [simplify]: Extracting #0: cost 1 inf + 0 96.135 * * [simplify]: Extracting #1: cost 8 inf + 0 96.135 * * [simplify]: Extracting #2: cost 15 inf + 43 96.136 * * [simplify]: Extracting #3: cost 19 inf + 85 96.136 * * [simplify]: Extracting #4: cost 16 inf + 250 96.136 * * [simplify]: Extracting #5: cost 5 inf + 1311 96.137 * * [simplify]: Extracting #6: cost 0 inf + 1962 96.137 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 96.137 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 96.138 * * * * [progress]: [ 58 / 295 ] simplifiying candidate # 96.138 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 96.138 * * [simplify]: iters left: 6 (8 enodes) 96.142 * * [simplify]: iters left: 5 (33 enodes) 96.148 * * [simplify]: iters left: 4 (55 enodes) 96.157 * * [simplify]: iters left: 3 (73 enodes) 96.168 * * [simplify]: iters left: 2 (84 enodes) 96.190 * * [simplify]: iters left: 1 (87 enodes) 96.205 * * [simplify]: Extracting #0: cost 1 inf + 0 96.205 * * [simplify]: Extracting #1: cost 11 inf + 0 96.205 * * [simplify]: Extracting #2: cost 25 inf + 123 96.205 * * [simplify]: Extracting #3: cost 29 inf + 247 96.205 * * [simplify]: Extracting #4: cost 24 inf + 576 96.206 * * [simplify]: Extracting #5: cost 9 inf + 2245 96.206 * * [simplify]: Extracting #6: cost 0 inf + 3666 96.207 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 96.207 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) (sqrt k))) 96.207 * * * * [progress]: [ 59 / 295 ] simplifiying candidate # 96.208 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 96.208 * * [simplify]: iters left: 6 (8 enodes) 96.210 * * [simplify]: iters left: 5 (34 enodes) 96.216 * * [simplify]: iters left: 4 (54 enodes) 96.224 * * [simplify]: iters left: 3 (67 enodes) 96.242 * * [simplify]: iters left: 2 (80 enodes) 96.264 * * [simplify]: iters left: 1 (87 enodes) 96.285 * * [simplify]: Extracting #0: cost 1 inf + 0 96.285 * * [simplify]: Extracting #1: cost 11 inf + 0 96.286 * * [simplify]: Extracting #2: cost 25 inf + 203 96.286 * * [simplify]: Extracting #3: cost 26 inf + 773 96.286 * * [simplify]: Extracting #4: cost 24 inf + 896 96.287 * * [simplify]: Extracting #5: cost 8 inf + 3127 96.289 * * [simplify]: Extracting #6: cost 0 inf + 4466 96.290 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 96.290 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) (sqrt k))) 96.290 * * * * [progress]: [ 60 / 295 ] simplifiying candidate # 96.290 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 96.290 * * [simplify]: iters left: 6 (8 enodes) 96.293 * * [simplify]: iters left: 5 (34 enodes) 96.299 * * [simplify]: iters left: 4 (54 enodes) 96.307 * * [simplify]: iters left: 3 (67 enodes) 96.317 * * [simplify]: iters left: 2 (80 enodes) 96.329 * * [simplify]: iters left: 1 (87 enodes) 96.343 * * [simplify]: Extracting #0: cost 1 inf + 0 96.343 * * [simplify]: Extracting #1: cost 11 inf + 0 96.343 * * [simplify]: Extracting #2: cost 25 inf + 123 96.343 * * [simplify]: Extracting #3: cost 26 inf + 493 96.343 * * [simplify]: Extracting #4: cost 24 inf + 576 96.343 * * [simplify]: Extracting #5: cost 8 inf + 2527 96.344 * * [simplify]: Extracting #6: cost 0 inf + 3666 96.345 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 96.345 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) (sqrt k))) 96.345 * * * * [progress]: [ 61 / 295 ] simplifiying candidate # 96.345 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 96.345 * * [simplify]: iters left: 6 (7 enodes) 96.348 * * [simplify]: iters left: 5 (32 enodes) 96.354 * * [simplify]: iters left: 4 (50 enodes) 96.361 * * [simplify]: iters left: 3 (54 enodes) 96.369 * * [simplify]: Extracting #0: cost 1 inf + 0 96.369 * * [simplify]: Extracting #1: cost 8 inf + 0 96.369 * * [simplify]: Extracting #2: cost 13 inf + 3 96.369 * * [simplify]: Extracting #3: cost 15 inf + 5 96.369 * * [simplify]: Extracting #4: cost 14 inf + 6 96.369 * * [simplify]: Extracting #5: cost 4 inf + 825 96.369 * * [simplify]: Extracting #6: cost 0 inf + 1234 96.370 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 96.370 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))))) (sqrt k))) 96.370 * * * * [progress]: [ 62 / 295 ] simplifiying candidate # 96.370 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 96.370 * * [simplify]: iters left: 6 (7 enodes) 96.373 * * [simplify]: iters left: 5 (30 enodes) 96.378 * * [simplify]: iters left: 4 (49 enodes) 96.393 * * [simplify]: iters left: 3 (59 enodes) 96.410 * * [simplify]: iters left: 2 (64 enodes) 96.427 * * [simplify]: Extracting #0: cost 1 inf + 0 96.427 * * [simplify]: Extracting #1: cost 9 inf + 0 96.427 * * [simplify]: Extracting #2: cost 23 inf + 0 96.427 * * [simplify]: Extracting #3: cost 24 inf + 3 96.427 * * [simplify]: Extracting #4: cost 15 inf + 980 96.428 * * [simplify]: Extracting #5: cost 1 inf + 3007 96.429 * * [simplify]: Extracting #6: cost 0 inf + 3169 96.430 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 96.430 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))) 96.430 * * * * [progress]: [ 63 / 295 ] simplifiying candidate # 96.431 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 96.431 * * [simplify]: iters left: 6 (8 enodes) 96.437 * * [simplify]: iters left: 5 (33 enodes) 96.448 * * [simplify]: iters left: 4 (55 enodes) 96.469 * * [simplify]: iters left: 3 (72 enodes) 96.489 * * [simplify]: iters left: 2 (84 enodes) 96.512 * * [simplify]: iters left: 1 (88 enodes) 96.535 * * [simplify]: Extracting #0: cost 1 inf + 0 96.535 * * [simplify]: Extracting #1: cost 11 inf + 0 96.535 * * [simplify]: Extracting #2: cost 30 inf + 0 96.535 * * [simplify]: Extracting #3: cost 33 inf + 84 96.536 * * [simplify]: Extracting #4: cost 12 inf + 2402 96.537 * * [simplify]: Extracting #5: cost 0 inf + 4469 96.539 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 96.539 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) (sqrt k))) 96.539 * * * * [progress]: [ 64 / 295 ] simplifiying candidate # 96.539 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 96.540 * * [simplify]: iters left: 6 (7 enodes) 96.544 * * [simplify]: iters left: 5 (30 enodes) 96.555 * * [simplify]: iters left: 4 (52 enodes) 96.565 * * [simplify]: iters left: 3 (70 enodes) 96.575 * * [simplify]: iters left: 2 (81 enodes) 96.586 * * [simplify]: iters left: 1 (84 enodes) 96.603 * * [simplify]: Extracting #0: cost 1 inf + 0 96.603 * * [simplify]: Extracting #1: cost 11 inf + 0 96.603 * * [simplify]: Extracting #2: cost 25 inf + 203 96.604 * * [simplify]: Extracting #3: cost 25 inf + 530 96.604 * * [simplify]: Extracting #4: cost 4 inf + 2936 96.606 * * [simplify]: Extracting #5: cost 0 inf + 3504 96.607 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 96.607 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) (sqrt k))) 96.607 * * * * [progress]: [ 65 / 295 ] simplifiying candidate # 96.607 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 96.608 * * [simplify]: iters left: 6 (8 enodes) 96.612 * * [simplify]: iters left: 5 (33 enodes) 96.624 * * [simplify]: iters left: 4 (55 enodes) 96.633 * * [simplify]: iters left: 3 (72 enodes) 96.643 * * [simplify]: iters left: 2 (84 enodes) 96.655 * * [simplify]: iters left: 1 (88 enodes) 96.676 * * [simplify]: Extracting #0: cost 1 inf + 0 96.676 * * [simplify]: Extracting #1: cost 11 inf + 0 96.676 * * [simplify]: Extracting #2: cost 30 inf + 0 96.676 * * [simplify]: Extracting #3: cost 33 inf + 44 96.677 * * [simplify]: Extracting #4: cost 12 inf + 2362 96.678 * * [simplify]: Extracting #5: cost 0 inf + 4469 96.680 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 96.680 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) (sqrt k))) 96.680 * * * * [progress]: [ 66 / 295 ] simplifiying candidate # 96.681 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 96.681 * * [simplify]: iters left: 6 (7 enodes) 96.685 * * [simplify]: iters left: 5 (30 enodes) 96.696 * * [simplify]: iters left: 4 (48 enodes) 96.712 * * [simplify]: iters left: 3 (56 enodes) 96.720 * * [simplify]: Extracting #0: cost 1 inf + 0 96.720 * * [simplify]: Extracting #1: cost 8 inf + 0 96.720 * * [simplify]: Extracting #2: cost 15 inf + 43 96.720 * * [simplify]: Extracting #3: cost 16 inf + 86 96.720 * * [simplify]: Extracting #4: cost 5 inf + 911 96.720 * * [simplify]: Extracting #5: cost 1 inf + 1198 96.721 * * [simplify]: Extracting #6: cost 0 inf + 1320 96.721 * [simplify]: Simplified to (/ (- 1 k) 2) 96.721 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) (sqrt k))) 96.721 * * * * [progress]: [ 67 / 295 ] simplifiying candidate # 96.721 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 96.721 * * [simplify]: iters left: 6 (7 enodes) 96.724 * * [simplify]: iters left: 5 (30 enodes) 96.729 * * [simplify]: iters left: 4 (52 enodes) 96.737 * * [simplify]: iters left: 3 (70 enodes) 96.747 * * [simplify]: iters left: 2 (81 enodes) 96.759 * * [simplify]: iters left: 1 (84 enodes) 96.769 * * [simplify]: Extracting #0: cost 1 inf + 0 96.769 * * [simplify]: Extracting #1: cost 11 inf + 0 96.770 * * [simplify]: Extracting #2: cost 25 inf + 123 96.770 * * [simplify]: Extracting #3: cost 25 inf + 330 96.771 * * [simplify]: Extracting #4: cost 4 inf + 2256 96.772 * * [simplify]: Extracting #5: cost 0 inf + 2704 96.773 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 96.773 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) (sqrt k))) 96.773 * * * * [progress]: [ 68 / 295 ] simplifiying candidate # 96.774 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 96.774 * * [simplify]: iters left: 6 (7 enodes) 96.779 * * [simplify]: iters left: 5 (31 enodes) 96.790 * * [simplify]: iters left: 4 (51 enodes) 96.808 * * [simplify]: iters left: 3 (64 enodes) 96.825 * * [simplify]: iters left: 2 (77 enodes) 96.838 * * [simplify]: iters left: 1 (84 enodes) 96.849 * * [simplify]: Extracting #0: cost 1 inf + 0 96.849 * * [simplify]: Extracting #1: cost 11 inf + 0 96.849 * * [simplify]: Extracting #2: cost 26 inf + 82 96.849 * * [simplify]: Extracting #3: cost 24 inf + 692 96.850 * * [simplify]: Extracting #4: cost 3 inf + 3057 96.850 * * [simplify]: Extracting #5: cost 0 inf + 3504 96.851 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 96.851 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) (sqrt k))) 96.851 * * * * [progress]: [ 69 / 295 ] simplifiying candidate # 96.851 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 96.851 * * [simplify]: iters left: 6 (7 enodes) 96.854 * * [simplify]: iters left: 5 (31 enodes) 96.859 * * [simplify]: iters left: 4 (51 enodes) 96.873 * * [simplify]: iters left: 3 (64 enodes) 96.891 * * [simplify]: iters left: 2 (77 enodes) 96.909 * * [simplify]: iters left: 1 (84 enodes) 96.923 * * [simplify]: Extracting #0: cost 1 inf + 0 96.923 * * [simplify]: Extracting #1: cost 11 inf + 0 96.923 * * [simplify]: Extracting #2: cost 26 inf + 42 96.923 * * [simplify]: Extracting #3: cost 24 inf + 452 96.924 * * [simplify]: Extracting #4: cost 3 inf + 2337 96.924 * * [simplify]: Extracting #5: cost 0 inf + 2704 96.925 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 96.925 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) (sqrt k))) 96.925 * * * * [progress]: [ 70 / 295 ] simplifiying candidate # 96.925 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 96.925 * * [simplify]: iters left: 6 (6 enodes) 96.928 * * [simplify]: iters left: 5 (29 enodes) 96.933 * * [simplify]: iters left: 4 (44 enodes) 96.939 * * [simplify]: iters left: 3 (50 enodes) 96.947 * * [simplify]: iters left: 2 (57 enodes) 96.955 * * [simplify]: Extracting #0: cost 1 inf + 0 96.955 * * [simplify]: Extracting #1: cost 9 inf + 0 96.955 * * [simplify]: Extracting #2: cost 15 inf + 3 96.955 * * [simplify]: Extracting #3: cost 11 inf + 131 96.955 * * [simplify]: Extracting #4: cost 2 inf + 711 96.955 * * [simplify]: Extracting #5: cost 0 inf + 836 96.956 * [simplify]: Simplified to (- 1/4 (/ k 4)) 96.956 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) (sqrt k))) 96.956 * * * * [progress]: [ 71 / 295 ] simplifiying candidate # 96.956 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 96.956 * * [simplify]: iters left: 6 (7 enodes) 96.959 * * [simplify]: iters left: 5 (31 enodes) 96.964 * * [simplify]: iters left: 4 (51 enodes) 96.972 * * [simplify]: iters left: 3 (64 enodes) 96.989 * * [simplify]: iters left: 2 (77 enodes) 97.001 * * [simplify]: iters left: 1 (84 enodes) 97.015 * * [simplify]: Extracting #0: cost 1 inf + 0 97.015 * * [simplify]: Extracting #1: cost 11 inf + 0 97.015 * * [simplify]: Extracting #2: cost 26 inf + 82 97.015 * * [simplify]: Extracting #3: cost 24 inf + 692 97.016 * * [simplify]: Extracting #4: cost 3 inf + 3057 97.016 * * [simplify]: Extracting #5: cost 0 inf + 3504 97.017 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 97.017 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) (sqrt k))) 97.017 * * * * [progress]: [ 72 / 295 ] simplifiying candidate # 97.017 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 97.018 * * [simplify]: iters left: 6 (7 enodes) 97.020 * * [simplify]: iters left: 5 (31 enodes) 97.030 * * [simplify]: iters left: 4 (51 enodes) 97.045 * * [simplify]: iters left: 3 (64 enodes) 97.058 * * [simplify]: iters left: 2 (77 enodes) 97.069 * * [simplify]: iters left: 1 (84 enodes) 97.080 * * [simplify]: Extracting #0: cost 1 inf + 0 97.080 * * [simplify]: Extracting #1: cost 11 inf + 0 97.080 * * [simplify]: Extracting #2: cost 26 inf + 42 97.080 * * [simplify]: Extracting #3: cost 24 inf + 452 97.081 * * [simplify]: Extracting #4: cost 3 inf + 2337 97.081 * * [simplify]: Extracting #5: cost 0 inf + 2704 97.082 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 97.082 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) (sqrt k))) 97.082 * * * * [progress]: [ 73 / 295 ] simplifiying candidate # 97.082 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 97.082 * * [simplify]: iters left: 6 (6 enodes) 97.084 * * [simplify]: iters left: 5 (29 enodes) 97.094 * * [simplify]: iters left: 4 (44 enodes) 97.102 * * [simplify]: iters left: 3 (50 enodes) 97.113 * * [simplify]: iters left: 2 (57 enodes) 97.121 * * [simplify]: Extracting #0: cost 1 inf + 0 97.121 * * [simplify]: Extracting #1: cost 9 inf + 0 97.121 * * [simplify]: Extracting #2: cost 15 inf + 3 97.121 * * [simplify]: Extracting #3: cost 11 inf + 131 97.122 * * [simplify]: Extracting #4: cost 2 inf + 711 97.122 * * [simplify]: Extracting #5: cost 0 inf + 836 97.122 * [simplify]: Simplified to (- 1/4 (/ k 4)) 97.122 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))))) (sqrt k))) 97.122 * * * * [progress]: [ 74 / 295 ] simplifiying candidate # 97.123 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 97.123 * * [simplify]: iters left: 4 (5 enodes) 97.125 * * [simplify]: iters left: 3 (20 enodes) 97.129 * * [simplify]: iters left: 2 (27 enodes) 97.133 * * [simplify]: iters left: 1 (29 enodes) 97.138 * * [simplify]: Extracting #0: cost 1 inf + 0 97.138 * * [simplify]: Extracting #1: cost 8 inf + 0 97.138 * * [simplify]: Extracting #2: cost 4 inf + 449 97.138 * * [simplify]: Extracting #3: cost 0 inf + 895 97.138 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 97.138 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))))) (sqrt k))) 97.138 * * * * [progress]: [ 75 / 295 ] simplifiying candidate # 97.139 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 97.139 * * [simplify]: iters left: 4 (5 enodes) 97.141 * * [simplify]: iters left: 3 (20 enodes) 97.145 * * [simplify]: iters left: 2 (27 enodes) 97.153 * * [simplify]: iters left: 1 (29 enodes) 97.162 * * [simplify]: Extracting #0: cost 1 inf + 0 97.162 * * [simplify]: Extracting #1: cost 8 inf + 0 97.162 * * [simplify]: Extracting #2: cost 4 inf + 289 97.162 * * [simplify]: Extracting #3: cost 0 inf + 575 97.162 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 97.162 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))))) (sqrt k))) 97.163 * * * * [progress]: [ 76 / 295 ] simplifiying candidate # 97.163 * [simplify]: Simplifying (/ (/ 1 2) 2) 97.163 * * [simplify]: iters left: 4 (4 enodes) 97.169 * * [simplify]: iters left: 3 (19 enodes) 97.174 * * [simplify]: iters left: 2 (23 enodes) 97.181 * * [simplify]: Extracting #0: cost 1 inf + 0 97.181 * * [simplify]: Extracting #1: cost 0 inf + 1 97.181 * [simplify]: Simplified to 1/4 97.181 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4))) (sqrt k))) 97.181 * * * * [progress]: [ 77 / 295 ] simplifiying candidate # 97.181 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 97.182 * * [simplify]: iters left: 6 (6 enodes) 97.184 * * [simplify]: iters left: 5 (29 enodes) 97.189 * * [simplify]: iters left: 4 (44 enodes) 97.196 * * [simplify]: iters left: 3 (50 enodes) 97.203 * * [simplify]: iters left: 2 (57 enodes) 97.214 * * [simplify]: Extracting #0: cost 1 inf + 0 97.214 * * [simplify]: Extracting #1: cost 9 inf + 0 97.214 * * [simplify]: Extracting #2: cost 15 inf + 3 97.214 * * [simplify]: Extracting #3: cost 11 inf + 131 97.214 * * [simplify]: Extracting #4: cost 2 inf + 711 97.215 * * [simplify]: Extracting #5: cost 0 inf + 836 97.215 * [simplify]: Simplified to (- 1/4 (/ k 4)) 97.215 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))))) (sqrt k))) 97.215 * * * * [progress]: [ 78 / 295 ] simplifiying candidate # 97.215 * [simplify]: Simplifying (/ 1 2) 97.215 * * [simplify]: iters left: 2 (3 enodes) 97.217 * * [simplify]: iters left: 1 (12 enodes) 97.219 * * [simplify]: Extracting #0: cost 1 inf + 0 97.219 * * [simplify]: Extracting #1: cost 0 inf + 1 97.219 * [simplify]: Simplified to 1/2 97.219 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2))) (sqrt k))) 97.220 * * * * [progress]: [ 79 / 295 ] simplifiying candidate # 97.220 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 97.220 * * [simplify]: iters left: 6 (8 enodes) 97.223 * * [simplify]: iters left: 5 (38 enodes) 97.230 * * [simplify]: iters left: 4 (66 enodes) 97.241 * * [simplify]: iters left: 3 (110 enodes) 97.265 * * [simplify]: iters left: 2 (200 enodes) 97.326 * * [simplify]: iters left: 1 (403 enodes) 97.496 * * [simplify]: Extracting #0: cost 1 inf + 0 97.497 * * [simplify]: Extracting #1: cost 26 inf + 0 97.497 * * [simplify]: Extracting #2: cost 100 inf + 2 97.497 * * [simplify]: Extracting #3: cost 164 inf + 10 97.498 * * [simplify]: Extracting #4: cost 157 inf + 1472 97.502 * * [simplify]: Extracting #5: cost 64 inf + 19273 97.509 * * [simplify]: Extracting #6: cost 8 inf + 47461 97.518 * * [simplify]: Extracting #7: cost 0 inf + 52807 97.535 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 97.535 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 97.535 * * * * [progress]: [ 80 / 295 ] simplifiying candidate # 97.535 * * * * [progress]: [ 81 / 295 ] simplifiying candidate # 97.535 * * * * [progress]: [ 82 / 295 ] simplifiying candidate # 97.535 * * * * [progress]: [ 83 / 295 ] simplifiying candidate # 97.536 * * * * [progress]: [ 84 / 295 ] simplifiying candidate # 97.536 * * * * [progress]: [ 85 / 295 ] simplifiying candidate # 97.536 * * * * [progress]: [ 86 / 295 ] simplifiying candidate # 97.536 * * * * [progress]: [ 87 / 295 ] simplifiying candidate # 97.536 * * * * [progress]: [ 88 / 295 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) (sqrt k)))> 97.536 * * * * [progress]: [ 89 / 295 ] simplifiying candidate # 97.536 * [simplify]: Simplifying (* (log n) (/ (/ (- 1 k) 2) 2)) 97.536 * * [simplify]: iters left: 6 (9 enodes) 97.542 * * [simplify]: iters left: 5 (41 enodes) 97.553 * * [simplify]: iters left: 4 (67 enodes) 97.563 * * [simplify]: iters left: 3 (93 enodes) 97.580 * * [simplify]: iters left: 2 (126 enodes) 97.620 * * [simplify]: iters left: 1 (235 enodes) 97.690 * * [simplify]: Extracting #0: cost 1 inf + 0 97.690 * * [simplify]: Extracting #1: cost 41 inf + 0 97.690 * * [simplify]: Extracting #2: cost 74 inf + 4 97.691 * * [simplify]: Extracting #3: cost 65 inf + 1310 97.692 * * [simplify]: Extracting #4: cost 18 inf + 7428 97.695 * * [simplify]: Extracting #5: cost 0 inf + 10387 97.697 * * [simplify]: Extracting #6: cost 0 inf + 10385 97.700 * [simplify]: Simplified to (/ (- (log n) (* k (log n))) 4) 97.700 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (- (log n) (* k (log n))) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 97.700 * * * * [progress]: [ 90 / 295 ] simplifiying candidate # 97.700 * * * * [progress]: [ 91 / 295 ] simplifiying candidate # 97.700 * * * * [progress]: [ 92 / 295 ] simplifiying candidate # 97.700 * [simplify]: Simplifying (pow n (/ (/ k 2) 2)) 97.701 * * [simplify]: iters left: 5 (6 enodes) 97.702 * * [simplify]: iters left: 4 (24 enodes) 97.706 * * [simplify]: iters left: 3 (36 enodes) 97.713 * * [simplify]: iters left: 2 (66 enodes) 97.737 * * [simplify]: iters left: 1 (143 enodes) 97.797 * * [simplify]: Extracting #0: cost 1 inf + 0 97.797 * * [simplify]: Extracting #1: cost 13 inf + 0 97.798 * * [simplify]: Extracting #2: cost 57 inf + 2 97.798 * * [simplify]: Extracting #3: cost 78 inf + 8 97.799 * * [simplify]: Extracting #4: cost 55 inf + 1674 97.802 * * [simplify]: Extracting #5: cost 24 inf + 7986 97.806 * * [simplify]: Extracting #6: cost 2 inf + 18890 97.810 * * [simplify]: Extracting #7: cost 0 inf + 20348 97.815 * * [simplify]: Extracting #8: cost 0 inf + 20217 97.820 * [simplify]: Simplified to (pow n (/ k 4)) 97.820 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow n (/ (/ 1 2) 2)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 97.820 * * * * [progress]: [ 93 / 295 ] simplifiying candidate # 97.821 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 97.821 * * [simplify]: iters left: 6 (7 enodes) 97.826 * * [simplify]: iters left: 5 (32 enodes) 97.837 * * [simplify]: iters left: 4 (47 enodes) 97.849 * * [simplify]: iters left: 3 (53 enodes) 97.857 * * [simplify]: iters left: 2 (60 enodes) 97.866 * * [simplify]: Extracting #0: cost 1 inf + 0 97.866 * * [simplify]: Extracting #1: cost 3 inf + 0 97.866 * * [simplify]: Extracting #2: cost 11 inf + 0 97.866 * * [simplify]: Extracting #3: cost 17 inf + 3 97.866 * * [simplify]: Extracting #4: cost 14 inf + 129 97.866 * * [simplify]: Extracting #5: cost 3 inf + 794 97.867 * * [simplify]: Extracting #6: cost 0 inf + 1162 97.867 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 97.867 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 97.867 * * * * [progress]: [ 94 / 295 ] simplifiying candidate # 97.867 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 97.867 * * [simplify]: iters left: 6 (7 enodes) 97.870 * * [simplify]: iters left: 5 (32 enodes) 97.875 * * [simplify]: iters left: 4 (47 enodes) 97.887 * * [simplify]: iters left: 3 (53 enodes) 97.903 * * [simplify]: iters left: 2 (60 enodes) 97.912 * * [simplify]: Extracting #0: cost 1 inf + 0 97.912 * * [simplify]: Extracting #1: cost 3 inf + 0 97.912 * * [simplify]: Extracting #2: cost 11 inf + 0 97.912 * * [simplify]: Extracting #3: cost 17 inf + 3 97.912 * * [simplify]: Extracting #4: cost 14 inf + 129 97.913 * * [simplify]: Extracting #5: cost 3 inf + 794 97.913 * * [simplify]: Extracting #6: cost 0 inf + 1082 97.915 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 97.915 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 97.915 * * * * [progress]: [ 95 / 295 ] simplifiying candidate # 97.916 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 97.916 * * [simplify]: iters left: 6 (8 enodes) 97.919 * * [simplify]: iters left: 5 (32 enodes) 97.924 * * [simplify]: iters left: 4 (41 enodes) 97.930 * * [simplify]: Extracting #0: cost 1 inf + 0 97.930 * * [simplify]: Extracting #1: cost 4 inf + 0 97.930 * * [simplify]: Extracting #2: cost 8 inf + 0 97.930 * * [simplify]: Extracting #3: cost 9 inf + 163 97.930 * * [simplify]: Extracting #4: cost 13 inf + 164 97.931 * * [simplify]: Extracting #5: cost 10 inf + 249 97.931 * * [simplify]: Extracting #6: cost 3 inf + 986 97.931 * * [simplify]: Extracting #7: cost 0 inf + 1474 97.931 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 97.931 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 97.931 * * * * [progress]: [ 96 / 295 ] simplifiying candidate # 97.932 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 97.932 * * [simplify]: iters left: 6 (8 enodes) 97.934 * * [simplify]: iters left: 5 (32 enodes) 97.942 * * [simplify]: iters left: 4 (41 enodes) 97.955 * * [simplify]: Extracting #0: cost 1 inf + 0 97.955 * * [simplify]: Extracting #1: cost 4 inf + 0 97.955 * * [simplify]: Extracting #2: cost 8 inf + 0 97.955 * * [simplify]: Extracting #3: cost 9 inf + 83 97.955 * * [simplify]: Extracting #4: cost 13 inf + 84 97.955 * * [simplify]: Extracting #5: cost 10 inf + 169 97.955 * * [simplify]: Extracting #6: cost 3 inf + 866 97.956 * * [simplify]: Extracting #7: cost 0 inf + 1314 97.956 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 97.956 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 97.957 * * * * [progress]: [ 97 / 295 ] simplifiying candidate # 97.957 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 97.957 * * [simplify]: iters left: 6 (7 enodes) 97.962 * * [simplify]: iters left: 5 (29 enodes) 97.971 * * [simplify]: iters left: 4 (38 enodes) 97.982 * * [simplify]: Extracting #0: cost 1 inf + 0 97.982 * * [simplify]: Extracting #1: cost 4 inf + 0 97.982 * * [simplify]: Extracting #2: cost 5 inf + 1 97.982 * * [simplify]: Extracting #3: cost 9 inf + 1 97.982 * * [simplify]: Extracting #4: cost 13 inf + 2 97.982 * * [simplify]: Extracting #5: cost 12 inf + 4 97.982 * * [simplify]: Extracting #6: cost 2 inf + 746 97.983 * * [simplify]: Extracting #7: cost 0 inf + 1152 97.983 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 97.983 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 97.984 * * * * [progress]: [ 98 / 295 ] simplifiying candidate # 97.984 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 97.984 * * [simplify]: iters left: 6 (8 enodes) 97.989 * * [simplify]: iters left: 5 (32 enodes) 97.999 * * [simplify]: iters left: 4 (41 enodes) 98.012 * * [simplify]: Extracting #0: cost 1 inf + 0 98.012 * * [simplify]: Extracting #1: cost 4 inf + 0 98.012 * * [simplify]: Extracting #2: cost 8 inf + 0 98.012 * * [simplify]: Extracting #3: cost 9 inf + 163 98.012 * * [simplify]: Extracting #4: cost 13 inf + 164 98.012 * * [simplify]: Extracting #5: cost 10 inf + 249 98.012 * * [simplify]: Extracting #6: cost 3 inf + 906 98.013 * * [simplify]: Extracting #7: cost 0 inf + 1314 98.013 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 98.013 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.014 * * * * [progress]: [ 99 / 295 ] simplifiying candidate # 98.014 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 98.014 * * [simplify]: iters left: 6 (8 enodes) 98.019 * * [simplify]: iters left: 5 (32 enodes) 98.030 * * [simplify]: iters left: 4 (41 enodes) 98.041 * * [simplify]: Extracting #0: cost 1 inf + 0 98.041 * * [simplify]: Extracting #1: cost 4 inf + 0 98.041 * * [simplify]: Extracting #2: cost 8 inf + 0 98.041 * * [simplify]: Extracting #3: cost 9 inf + 83 98.041 * * [simplify]: Extracting #4: cost 13 inf + 84 98.042 * * [simplify]: Extracting #5: cost 10 inf + 169 98.042 * * [simplify]: Extracting #6: cost 3 inf + 786 98.042 * * [simplify]: Extracting #7: cost 0 inf + 1154 98.042 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 98.042 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.042 * * * * [progress]: [ 100 / 295 ] simplifiying candidate # 98.043 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 98.043 * * [simplify]: iters left: 6 (7 enodes) 98.048 * * [simplify]: iters left: 5 (29 enodes) 98.053 * * [simplify]: iters left: 4 (38 enodes) 98.059 * * [simplify]: Extracting #0: cost 1 inf + 0 98.059 * * [simplify]: Extracting #1: cost 4 inf + 0 98.059 * * [simplify]: Extracting #2: cost 5 inf + 1 98.059 * * [simplify]: Extracting #3: cost 9 inf + 1 98.059 * * [simplify]: Extracting #4: cost 13 inf + 2 98.059 * * [simplify]: Extracting #5: cost 12 inf + 4 98.059 * * [simplify]: Extracting #6: cost 2 inf + 666 98.060 * * [simplify]: Extracting #7: cost 0 inf + 992 98.060 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 98.060 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.060 * * * * [progress]: [ 101 / 295 ] simplifiying candidate # 98.060 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 98.060 * * [simplify]: iters left: 6 (8 enodes) 98.063 * * [simplify]: iters left: 5 (30 enodes) 98.068 * * [simplify]: iters left: 4 (37 enodes) 98.073 * * [simplify]: Extracting #0: cost 1 inf + 0 98.073 * * [simplify]: Extracting #1: cost 6 inf + 0 98.073 * * [simplify]: Extracting #2: cost 12 inf + 0 98.074 * * [simplify]: Extracting #3: cost 11 inf + 405 98.074 * * [simplify]: Extracting #4: cost 10 inf + 407 98.074 * * [simplify]: Extracting #5: cost 4 inf + 1220 98.074 * * [simplify]: Extracting #6: cost 0 inf + 1869 98.074 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 98.074 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow 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) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.075 * * * * [progress]: [ 102 / 295 ] simplifiying candidate # 98.075 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 98.075 * * [simplify]: iters left: 6 (9 enodes) 98.078 * * [simplify]: iters left: 5 (33 enodes) 98.083 * * [simplify]: iters left: 4 (43 enodes) 98.090 * * [simplify]: iters left: 3 (45 enodes) 98.097 * * [simplify]: Extracting #0: cost 1 inf + 0 98.097 * * [simplify]: Extracting #1: cost 8 inf + 0 98.097 * * [simplify]: Extracting #2: cost 16 inf + 0 98.097 * * [simplify]: Extracting #3: cost 16 inf + 284 98.097 * * [simplify]: Extracting #4: cost 11 inf + 610 98.097 * * [simplify]: Extracting #5: cost 8 inf + 815 98.098 * * [simplify]: Extracting #6: cost 0 inf + 2517 98.098 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 98.098 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.098 * * * * [progress]: [ 103 / 295 ] simplifiying candidate # 98.098 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 98.099 * * [simplify]: iters left: 6 (8 enodes) 98.101 * * [simplify]: iters left: 5 (30 enodes) 98.106 * * [simplify]: iters left: 4 (40 enodes) 98.112 * * [simplify]: iters left: 3 (42 enodes) 98.118 * * [simplify]: Extracting #0: cost 1 inf + 0 98.119 * * [simplify]: Extracting #1: cost 8 inf + 0 98.119 * * [simplify]: Extracting #2: cost 12 inf + 82 98.119 * * [simplify]: Extracting #3: cost 13 inf + 405 98.119 * * [simplify]: Extracting #4: cost 12 inf + 407 98.119 * * [simplify]: Extracting #5: cost 5 inf + 1383 98.119 * * [simplify]: Extracting #6: cost 0 inf + 2195 98.120 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 98.120 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.120 * * * * [progress]: [ 104 / 295 ] simplifiying candidate # 98.120 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 98.120 * * [simplify]: iters left: 6 (9 enodes) 98.123 * * [simplify]: iters left: 5 (33 enodes) 98.131 * * [simplify]: iters left: 4 (43 enodes) 98.141 * * [simplify]: iters left: 3 (45 enodes) 98.155 * * [simplify]: Extracting #0: cost 1 inf + 0 98.155 * * [simplify]: Extracting #1: cost 8 inf + 0 98.155 * * [simplify]: Extracting #2: cost 16 inf + 0 98.156 * * [simplify]: Extracting #3: cost 16 inf + 284 98.156 * * [simplify]: Extracting #4: cost 11 inf + 610 98.156 * * [simplify]: Extracting #5: cost 8 inf + 815 98.157 * * [simplify]: Extracting #6: cost 0 inf + 2517 98.158 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 98.158 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.158 * * * * [progress]: [ 105 / 295 ] simplifiying candidate # 98.158 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 98.158 * * [simplify]: iters left: 6 (8 enodes) 98.163 * * [simplify]: iters left: 5 (30 enodes) 98.173 * * [simplify]: iters left: 4 (35 enodes) 98.184 * * [simplify]: Extracting #0: cost 1 inf + 0 98.184 * * [simplify]: Extracting #1: cost 6 inf + 0 98.184 * * [simplify]: Extracting #2: cost 8 inf + 42 98.184 * * [simplify]: Extracting #3: cost 11 inf + 83 98.184 * * [simplify]: Extracting #4: cost 10 inf + 85 98.184 * * [simplify]: Extracting #5: cost 4 inf + 658 98.185 * * [simplify]: Extracting #6: cost 0 inf + 1227 98.185 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 98.185 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.185 * * * * [progress]: [ 106 / 295 ] simplifiying candidate # 98.185 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 98.186 * * [simplify]: iters left: 6 (8 enodes) 98.188 * * [simplify]: iters left: 5 (30 enodes) 98.193 * * [simplify]: iters left: 4 (40 enodes) 98.199 * * [simplify]: iters left: 3 (42 enodes) 98.205 * * [simplify]: Extracting #0: cost 1 inf + 0 98.205 * * [simplify]: Extracting #1: cost 8 inf + 0 98.205 * * [simplify]: Extracting #2: cost 12 inf + 42 98.205 * * [simplify]: Extracting #3: cost 13 inf + 245 98.205 * * [simplify]: Extracting #4: cost 12 inf + 247 98.206 * * [simplify]: Extracting #5: cost 5 inf + 1143 98.206 * * [simplify]: Extracting #6: cost 0 inf + 1875 98.206 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 98.206 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.206 * * * * [progress]: [ 107 / 295 ] simplifiying candidate # 98.206 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 98.207 * * [simplify]: iters left: 6 (8 enodes) 98.209 * * [simplify]: iters left: 5 (30 enodes) 98.215 * * [simplify]: iters left: 4 (40 enodes) 98.226 * * [simplify]: iters left: 3 (42 enodes) 98.238 * * [simplify]: Extracting #0: cost 1 inf + 0 98.238 * * [simplify]: Extracting #1: cost 8 inf + 0 98.238 * * [simplify]: Extracting #2: cost 11 inf + 203 98.238 * * [simplify]: Extracting #3: cost 13 inf + 405 98.239 * * [simplify]: Extracting #4: cost 12 inf + 407 98.239 * * [simplify]: Extracting #5: cost 3 inf + 1789 98.240 * * [simplify]: Extracting #6: cost 0 inf + 2195 98.240 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 98.240 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.241 * * * * [progress]: [ 108 / 295 ] simplifiying candidate # 98.241 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 98.241 * * [simplify]: iters left: 6 (8 enodes) 98.246 * * [simplify]: iters left: 5 (30 enodes) 98.255 * * [simplify]: iters left: 4 (40 enodes) 98.271 * * [simplify]: iters left: 3 (42 enodes) 98.283 * * [simplify]: Extracting #0: cost 1 inf + 0 98.283 * * [simplify]: Extracting #1: cost 8 inf + 0 98.283 * * [simplify]: Extracting #2: cost 11 inf + 123 98.283 * * [simplify]: Extracting #3: cost 13 inf + 245 98.283 * * [simplify]: Extracting #4: cost 12 inf + 247 98.284 * * [simplify]: Extracting #5: cost 3 inf + 1509 98.284 * * [simplify]: Extracting #6: cost 0 inf + 1875 98.285 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 98.285 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.285 * * * * [progress]: [ 109 / 295 ] simplifiying candidate # 98.286 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 98.286 * * [simplify]: iters left: 6 (7 enodes) 98.290 * * [simplify]: iters left: 5 (28 enodes) 98.296 * * [simplify]: iters left: 4 (35 enodes) 98.301 * * [simplify]: Extracting #0: cost 1 inf + 0 98.301 * * [simplify]: Extracting #1: cost 6 inf + 0 98.302 * * [simplify]: Extracting #2: cost 7 inf + 2 98.302 * * [simplify]: Extracting #3: cost 11 inf + 2 98.302 * * [simplify]: Extracting #4: cost 9 inf + 45 98.302 * * [simplify]: Extracting #5: cost 4 inf + 455 98.302 * * [simplify]: Extracting #6: cost 0 inf + 1066 98.302 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 98.302 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.302 * * * * [progress]: [ 110 / 295 ] simplifiying candidate # 98.302 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 98.303 * * [simplify]: iters left: 6 (8 enodes) 98.305 * * [simplify]: iters left: 5 (30 enodes) 98.310 * * [simplify]: iters left: 4 (37 enodes) 98.316 * * [simplify]: Extracting #0: cost 1 inf + 0 98.316 * * [simplify]: Extracting #1: cost 6 inf + 0 98.316 * * [simplify]: Extracting #2: cost 12 inf + 0 98.316 * * [simplify]: Extracting #3: cost 11 inf + 405 98.316 * * [simplify]: Extracting #4: cost 10 inf + 407 98.316 * * [simplify]: Extracting #5: cost 4 inf + 1100 98.316 * * [simplify]: Extracting #6: cost 0 inf + 1629 98.317 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 98.317 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.317 * * * * [progress]: [ 111 / 295 ] simplifiying candidate # 98.317 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 98.317 * * [simplify]: iters left: 6 (9 enodes) 98.320 * * [simplify]: iters left: 5 (33 enodes) 98.330 * * [simplify]: iters left: 4 (43 enodes) 98.342 * * [simplify]: iters left: 3 (45 enodes) 98.355 * * [simplify]: Extracting #0: cost 1 inf + 0 98.355 * * [simplify]: Extracting #1: cost 8 inf + 0 98.356 * * [simplify]: Extracting #2: cost 16 inf + 0 98.356 * * [simplify]: Extracting #3: cost 16 inf + 284 98.356 * * [simplify]: Extracting #4: cost 11 inf + 610 98.356 * * [simplify]: Extracting #5: cost 8 inf + 775 98.357 * * [simplify]: Extracting #6: cost 0 inf + 2197 98.358 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 98.358 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.358 * * * * [progress]: [ 112 / 295 ] simplifiying candidate # 98.358 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 98.359 * * [simplify]: iters left: 6 (8 enodes) 98.363 * * [simplify]: iters left: 5 (30 enodes) 98.371 * * [simplify]: iters left: 4 (40 enodes) 98.378 * * [simplify]: iters left: 3 (42 enodes) 98.386 * * [simplify]: Extracting #0: cost 1 inf + 0 98.386 * * [simplify]: Extracting #1: cost 8 inf + 0 98.386 * * [simplify]: Extracting #2: cost 12 inf + 82 98.386 * * [simplify]: Extracting #3: cost 13 inf + 405 98.386 * * [simplify]: Extracting #4: cost 12 inf + 407 98.387 * * [simplify]: Extracting #5: cost 5 inf + 1223 98.387 * * [simplify]: Extracting #6: cost 0 inf + 1875 98.387 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 98.387 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.387 * * * * [progress]: [ 113 / 295 ] simplifiying candidate # 98.388 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 98.388 * * [simplify]: iters left: 6 (9 enodes) 98.390 * * [simplify]: iters left: 5 (33 enodes) 98.396 * * [simplify]: iters left: 4 (43 enodes) 98.404 * * [simplify]: iters left: 3 (45 enodes) 98.417 * * [simplify]: Extracting #0: cost 1 inf + 0 98.418 * * [simplify]: Extracting #1: cost 8 inf + 0 98.418 * * [simplify]: Extracting #2: cost 16 inf + 0 98.418 * * [simplify]: Extracting #3: cost 16 inf + 284 98.418 * * [simplify]: Extracting #4: cost 11 inf + 610 98.418 * * [simplify]: Extracting #5: cost 8 inf + 775 98.419 * * [simplify]: Extracting #6: cost 0 inf + 2197 98.420 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 98.420 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.420 * * * * [progress]: [ 114 / 295 ] simplifiying candidate # 98.420 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 98.420 * * [simplify]: iters left: 6 (8 enodes) 98.425 * * [simplify]: iters left: 5 (30 enodes) 98.434 * * [simplify]: iters left: 4 (35 enodes) 98.444 * * [simplify]: Extracting #0: cost 1 inf + 0 98.444 * * [simplify]: Extracting #1: cost 6 inf + 0 98.444 * * [simplify]: Extracting #2: cost 8 inf + 42 98.444 * * [simplify]: Extracting #3: cost 11 inf + 83 98.445 * * [simplify]: Extracting #4: cost 10 inf + 85 98.445 * * [simplify]: Extracting #5: cost 4 inf + 538 98.445 * * [simplify]: Extracting #6: cost 0 inf + 987 98.446 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 98.446 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.446 * * * * [progress]: [ 115 / 295 ] simplifiying candidate # 98.446 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 98.446 * * [simplify]: iters left: 6 (8 enodes) 98.451 * * [simplify]: iters left: 5 (30 enodes) 98.461 * * [simplify]: iters left: 4 (40 enodes) 98.472 * * [simplify]: iters left: 3 (42 enodes) 98.484 * * [simplify]: Extracting #0: cost 1 inf + 0 98.484 * * [simplify]: Extracting #1: cost 8 inf + 0 98.484 * * [simplify]: Extracting #2: cost 12 inf + 42 98.485 * * [simplify]: Extracting #3: cost 13 inf + 245 98.485 * * [simplify]: Extracting #4: cost 12 inf + 247 98.485 * * [simplify]: Extracting #5: cost 5 inf + 983 98.486 * * [simplify]: Extracting #6: cost 0 inf + 1555 98.486 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 98.486 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.487 * * * * [progress]: [ 116 / 295 ] simplifiying candidate # 98.487 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 98.487 * * [simplify]: iters left: 6 (8 enodes) 98.492 * * [simplify]: iters left: 5 (30 enodes) 98.502 * * [simplify]: iters left: 4 (40 enodes) 98.513 * * [simplify]: iters left: 3 (42 enodes) 98.528 * * [simplify]: Extracting #0: cost 1 inf + 0 98.528 * * [simplify]: Extracting #1: cost 8 inf + 0 98.529 * * [simplify]: Extracting #2: cost 11 inf + 203 98.529 * * [simplify]: Extracting #3: cost 13 inf + 405 98.529 * * [simplify]: Extracting #4: cost 12 inf + 407 98.529 * * [simplify]: Extracting #5: cost 3 inf + 1549 98.530 * * [simplify]: Extracting #6: cost 0 inf + 1875 98.530 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 98.530 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.531 * * * * [progress]: [ 117 / 295 ] simplifiying candidate # 98.531 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 98.531 * * [simplify]: iters left: 6 (8 enodes) 98.536 * * [simplify]: iters left: 5 (30 enodes) 98.544 * * [simplify]: iters left: 4 (40 enodes) 98.550 * * [simplify]: iters left: 3 (42 enodes) 98.556 * * [simplify]: Extracting #0: cost 1 inf + 0 98.556 * * [simplify]: Extracting #1: cost 8 inf + 0 98.556 * * [simplify]: Extracting #2: cost 11 inf + 123 98.556 * * [simplify]: Extracting #3: cost 13 inf + 245 98.557 * * [simplify]: Extracting #4: cost 12 inf + 247 98.557 * * [simplify]: Extracting #5: cost 3 inf + 1269 98.557 * * [simplify]: Extracting #6: cost 0 inf + 1555 98.557 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 98.557 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.557 * * * * [progress]: [ 118 / 295 ] simplifiying candidate # 98.558 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 98.558 * * [simplify]: iters left: 6 (7 enodes) 98.560 * * [simplify]: iters left: 5 (28 enodes) 98.565 * * [simplify]: iters left: 4 (35 enodes) 98.570 * * [simplify]: Extracting #0: cost 1 inf + 0 98.570 * * [simplify]: Extracting #1: cost 6 inf + 0 98.571 * * [simplify]: Extracting #2: cost 7 inf + 2 98.571 * * [simplify]: Extracting #3: cost 11 inf + 2 98.571 * * [simplify]: Extracting #4: cost 9 inf + 45 98.571 * * [simplify]: Extracting #5: cost 4 inf + 375 98.571 * * [simplify]: Extracting #6: cost 0 inf + 826 98.571 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 98.571 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.571 * * * * [progress]: [ 119 / 295 ] simplifiying candidate # 98.571 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 98.572 * * [simplify]: iters left: 6 (7 enodes) 98.574 * * [simplify]: iters left: 5 (30 enodes) 98.580 * * [simplify]: iters left: 4 (49 enodes) 98.588 * * [simplify]: iters left: 3 (59 enodes) 98.596 * * [simplify]: iters left: 2 (64 enodes) 98.612 * * [simplify]: Extracting #0: cost 1 inf + 0 98.612 * * [simplify]: Extracting #1: cost 9 inf + 0 98.612 * * [simplify]: Extracting #2: cost 23 inf + 0 98.612 * * [simplify]: Extracting #3: cost 24 inf + 3 98.613 * * [simplify]: Extracting #4: cost 15 inf + 980 98.613 * * [simplify]: Extracting #5: cost 1 inf + 3007 98.614 * * [simplify]: Extracting #6: cost 0 inf + 3169 98.615 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 98.616 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.616 * * * * [progress]: [ 120 / 295 ] simplifiying candidate # 98.616 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 98.616 * * [simplify]: iters left: 6 (8 enodes) 98.621 * * [simplify]: iters left: 5 (33 enodes) 98.633 * * [simplify]: iters left: 4 (55 enodes) 98.641 * * [simplify]: iters left: 3 (72 enodes) 98.652 * * [simplify]: iters left: 2 (84 enodes) 98.666 * * [simplify]: iters left: 1 (88 enodes) 98.690 * * [simplify]: Extracting #0: cost 1 inf + 0 98.690 * * [simplify]: Extracting #1: cost 11 inf + 0 98.690 * * [simplify]: Extracting #2: cost 30 inf + 0 98.690 * * [simplify]: Extracting #3: cost 33 inf + 84 98.690 * * [simplify]: Extracting #4: cost 12 inf + 2402 98.691 * * [simplify]: Extracting #5: cost 0 inf + 4469 98.692 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 98.692 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.692 * * * * [progress]: [ 121 / 295 ] simplifiying candidate # 98.692 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 98.692 * * [simplify]: iters left: 6 (7 enodes) 98.695 * * [simplify]: iters left: 5 (30 enodes) 98.700 * * [simplify]: iters left: 4 (52 enodes) 98.709 * * [simplify]: iters left: 3 (70 enodes) 98.719 * * [simplify]: iters left: 2 (81 enodes) 98.741 * * [simplify]: iters left: 1 (84 enodes) 98.758 * * [simplify]: Extracting #0: cost 1 inf + 0 98.758 * * [simplify]: Extracting #1: cost 11 inf + 0 98.758 * * [simplify]: Extracting #2: cost 25 inf + 203 98.758 * * [simplify]: Extracting #3: cost 25 inf + 530 98.759 * * [simplify]: Extracting #4: cost 4 inf + 2936 98.760 * * [simplify]: Extracting #5: cost 0 inf + 3504 98.760 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 98.760 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.760 * * * * [progress]: [ 122 / 295 ] simplifiying candidate # 98.761 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 98.761 * * [simplify]: iters left: 6 (8 enodes) 98.763 * * [simplify]: iters left: 5 (33 enodes) 98.769 * * [simplify]: iters left: 4 (55 enodes) 98.778 * * [simplify]: iters left: 3 (72 enodes) 98.792 * * [simplify]: iters left: 2 (84 enodes) 98.815 * * [simplify]: iters left: 1 (88 enodes) 98.837 * * [simplify]: Extracting #0: cost 1 inf + 0 98.837 * * [simplify]: Extracting #1: cost 11 inf + 0 98.837 * * [simplify]: Extracting #2: cost 30 inf + 0 98.838 * * [simplify]: Extracting #3: cost 33 inf + 44 98.838 * * [simplify]: Extracting #4: cost 12 inf + 2362 98.839 * * [simplify]: Extracting #5: cost 0 inf + 4469 98.841 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 98.841 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.841 * * * * [progress]: [ 123 / 295 ] simplifiying candidate # 98.842 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 98.842 * * [simplify]: iters left: 6 (7 enodes) 98.849 * * [simplify]: iters left: 5 (30 enodes) 98.860 * * [simplify]: iters left: 4 (48 enodes) 98.874 * * [simplify]: iters left: 3 (56 enodes) 98.888 * * [simplify]: Extracting #0: cost 1 inf + 0 98.889 * * [simplify]: Extracting #1: cost 8 inf + 0 98.889 * * [simplify]: Extracting #2: cost 15 inf + 43 98.889 * * [simplify]: Extracting #3: cost 16 inf + 86 98.889 * * [simplify]: Extracting #4: cost 5 inf + 911 98.890 * * [simplify]: Extracting #5: cost 1 inf + 1198 98.890 * * [simplify]: Extracting #6: cost 0 inf + 1320 98.891 * [simplify]: Simplified to (/ (- 1 k) 2) 98.891 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.891 * * * * [progress]: [ 124 / 295 ] simplifiying candidate # 98.892 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 98.892 * * [simplify]: iters left: 6 (7 enodes) 98.896 * * [simplify]: iters left: 5 (30 enodes) 98.906 * * [simplify]: iters left: 4 (52 enodes) 98.922 * * [simplify]: iters left: 3 (70 enodes) 98.942 * * [simplify]: iters left: 2 (81 enodes) 98.954 * * [simplify]: iters left: 1 (84 enodes) 98.965 * * [simplify]: Extracting #0: cost 1 inf + 0 98.965 * * [simplify]: Extracting #1: cost 11 inf + 0 98.965 * * [simplify]: Extracting #2: cost 25 inf + 123 98.965 * * [simplify]: Extracting #3: cost 25 inf + 330 98.966 * * [simplify]: Extracting #4: cost 4 inf + 2256 98.966 * * [simplify]: Extracting #5: cost 0 inf + 2704 98.967 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 98.967 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 98.967 * * * * [progress]: [ 125 / 295 ] simplifiying candidate # 98.967 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 98.967 * * [simplify]: iters left: 6 (7 enodes) 98.970 * * [simplify]: iters left: 5 (31 enodes) 98.978 * * [simplify]: iters left: 4 (51 enodes) 98.986 * * [simplify]: iters left: 3 (64 enodes) 98.999 * * [simplify]: iters left: 2 (77 enodes) 99.020 * * [simplify]: iters left: 1 (84 enodes) 99.042 * * [simplify]: Extracting #0: cost 1 inf + 0 99.042 * * [simplify]: Extracting #1: cost 11 inf + 0 99.042 * * [simplify]: Extracting #2: cost 26 inf + 82 99.042 * * [simplify]: Extracting #3: cost 24 inf + 692 99.043 * * [simplify]: Extracting #4: cost 3 inf + 3057 99.044 * * [simplify]: Extracting #5: cost 0 inf + 3504 99.046 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 99.046 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.046 * * * * [progress]: [ 126 / 295 ] simplifiying candidate # 99.046 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 99.047 * * [simplify]: iters left: 6 (7 enodes) 99.050 * * [simplify]: iters left: 5 (31 enodes) 99.056 * * [simplify]: iters left: 4 (51 enodes) 99.064 * * [simplify]: iters left: 3 (64 enodes) 99.073 * * [simplify]: iters left: 2 (77 enodes) 99.090 * * [simplify]: iters left: 1 (84 enodes) 99.110 * * [simplify]: Extracting #0: cost 1 inf + 0 99.110 * * [simplify]: Extracting #1: cost 11 inf + 0 99.110 * * [simplify]: Extracting #2: cost 26 inf + 42 99.111 * * [simplify]: Extracting #3: cost 24 inf + 452 99.111 * * [simplify]: Extracting #4: cost 3 inf + 2337 99.112 * * [simplify]: Extracting #5: cost 0 inf + 2704 99.112 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 99.113 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.113 * * * * [progress]: [ 127 / 295 ] simplifiying candidate # 99.113 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 99.113 * * [simplify]: iters left: 6 (6 enodes) 99.115 * * [simplify]: iters left: 5 (29 enodes) 99.121 * * [simplify]: iters left: 4 (44 enodes) 99.127 * * [simplify]: iters left: 3 (50 enodes) 99.135 * * [simplify]: iters left: 2 (57 enodes) 99.143 * * [simplify]: Extracting #0: cost 1 inf + 0 99.143 * * [simplify]: Extracting #1: cost 9 inf + 0 99.143 * * [simplify]: Extracting #2: cost 15 inf + 3 99.143 * * [simplify]: Extracting #3: cost 11 inf + 131 99.143 * * [simplify]: Extracting #4: cost 2 inf + 711 99.144 * * [simplify]: Extracting #5: cost 0 inf + 836 99.144 * [simplify]: Simplified to (- 1/4 (/ k 4)) 99.144 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.144 * * * * [progress]: [ 128 / 295 ] simplifiying candidate # 99.144 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 99.144 * * [simplify]: iters left: 6 (9 enodes) 99.147 * * [simplify]: iters left: 5 (36 enodes) 99.154 * * [simplify]: iters left: 4 (58 enodes) 99.162 * * [simplify]: iters left: 3 (71 enodes) 99.173 * * [simplify]: iters left: 2 (79 enodes) 99.185 * * [simplify]: iters left: 1 (80 enodes) 99.205 * * [simplify]: Extracting #0: cost 1 inf + 0 99.205 * * [simplify]: Extracting #1: cost 9 inf + 0 99.205 * * [simplify]: Extracting #2: cost 24 inf + 0 99.205 * * [simplify]: Extracting #3: cost 29 inf + 2 99.206 * * [simplify]: Extracting #4: cost 10 inf + 2233 99.207 * * [simplify]: Extracting #5: cost 1 inf + 4013 99.208 * * [simplify]: Extracting #6: cost 0 inf + 4135 99.209 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 99.210 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.210 * * * * [progress]: [ 129 / 295 ] simplifiying candidate # 99.210 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 99.210 * * [simplify]: iters left: 6 (10 enodes) 99.216 * * [simplify]: iters left: 5 (39 enodes) 99.230 * * [simplify]: iters left: 4 (64 enodes) 99.248 * * [simplify]: iters left: 3 (86 enodes) 99.273 * * [simplify]: iters left: 2 (99 enodes) 99.299 * * [simplify]: iters left: 1 (104 enodes) 99.329 * * [simplify]: Extracting #0: cost 1 inf + 0 99.329 * * [simplify]: Extracting #1: cost 11 inf + 0 99.329 * * [simplify]: Extracting #2: cost 31 inf + 0 99.330 * * [simplify]: Extracting #3: cost 39 inf + 2 99.330 * * [simplify]: Extracting #4: cost 22 inf + 1871 99.332 * * [simplify]: Extracting #5: cost 4 inf + 4865 99.333 * * [simplify]: Extracting #6: cost 0 inf + 5675 99.334 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 99.334 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.335 * * * * [progress]: [ 130 / 295 ] simplifiying candidate # 99.335 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 99.335 * * [simplify]: iters left: 6 (9 enodes) 99.338 * * [simplify]: iters left: 5 (36 enodes) 99.344 * * [simplify]: iters left: 4 (61 enodes) 99.354 * * [simplify]: iters left: 3 (84 enodes) 99.366 * * [simplify]: iters left: 2 (96 enodes) 99.387 * * [simplify]: iters left: 1 (100 enodes) 99.405 * * [simplify]: Extracting #0: cost 1 inf + 0 99.405 * * [simplify]: Extracting #1: cost 11 inf + 0 99.405 * * [simplify]: Extracting #2: cost 27 inf + 82 99.405 * * [simplify]: Extracting #3: cost 29 inf + 651 99.405 * * [simplify]: Extracting #4: cost 12 inf + 2763 99.406 * * [simplify]: Extracting #5: cost 1 inf + 4587 99.407 * * [simplify]: Extracting #6: cost 0 inf + 4710 99.408 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 99.408 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.408 * * * * [progress]: [ 131 / 295 ] simplifiying candidate # 99.408 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 99.408 * * [simplify]: iters left: 6 (10 enodes) 99.411 * * [simplify]: iters left: 5 (39 enodes) 99.418 * * [simplify]: iters left: 4 (64 enodes) 99.432 * * [simplify]: iters left: 3 (86 enodes) 99.444 * * [simplify]: iters left: 2 (99 enodes) 99.457 * * [simplify]: iters left: 1 (104 enodes) 99.478 * * [simplify]: Extracting #0: cost 1 inf + 0 99.478 * * [simplify]: Extracting #1: cost 11 inf + 0 99.478 * * [simplify]: Extracting #2: cost 31 inf + 0 99.478 * * [simplify]: Extracting #3: cost 39 inf + 2 99.479 * * [simplify]: Extracting #4: cost 22 inf + 1831 99.481 * * [simplify]: Extracting #5: cost 4 inf + 4785 99.483 * * [simplify]: Extracting #6: cost 0 inf + 5595 99.485 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 99.485 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.485 * * * * [progress]: [ 132 / 295 ] simplifiying candidate # 99.485 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 99.485 * * [simplify]: iters left: 6 (9 enodes) 99.491 * * [simplify]: iters left: 5 (36 enodes) 99.503 * * [simplify]: iters left: 4 (57 enodes) 99.521 * * [simplify]: iters left: 3 (73 enodes) 99.540 * * [simplify]: iters left: 2 (80 enodes) 99.564 * * [simplify]: iters left: 1 (81 enodes) 99.583 * * [simplify]: Extracting #0: cost 1 inf + 0 99.583 * * [simplify]: Extracting #1: cost 9 inf + 0 99.583 * * [simplify]: Extracting #2: cost 18 inf + 43 99.583 * * [simplify]: Extracting #3: cost 23 inf + 85 99.584 * * [simplify]: Extracting #4: cost 9 inf + 1271 99.585 * * [simplify]: Extracting #5: cost 0 inf + 2370 99.586 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 99.586 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.586 * * * * [progress]: [ 133 / 295 ] simplifiying candidate # 99.586 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 99.586 * * [simplify]: iters left: 6 (9 enodes) 99.592 * * [simplify]: iters left: 5 (36 enodes) 99.603 * * [simplify]: iters left: 4 (61 enodes) 99.612 * * [simplify]: iters left: 3 (84 enodes) 99.624 * * [simplify]: iters left: 2 (96 enodes) 99.638 * * [simplify]: iters left: 1 (100 enodes) 99.654 * * [simplify]: Extracting #0: cost 1 inf + 0 99.654 * * [simplify]: Extracting #1: cost 11 inf + 0 99.654 * * [simplify]: Extracting #2: cost 27 inf + 42 99.654 * * [simplify]: Extracting #3: cost 29 inf + 411 99.654 * * [simplify]: Extracting #4: cost 12 inf + 2163 99.655 * * [simplify]: Extracting #5: cost 1 inf + 3707 99.658 * * [simplify]: Extracting #6: cost 0 inf + 3830 99.659 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 99.659 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.659 * * * * [progress]: [ 134 / 295 ] simplifiying candidate # 99.659 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 99.659 * * [simplify]: iters left: 6 (9 enodes) 99.662 * * [simplify]: iters left: 5 (36 enodes) 99.670 * * [simplify]: iters left: 4 (62 enodes) 99.680 * * [simplify]: iters left: 3 (78 enodes) 99.700 * * [simplify]: iters left: 2 (90 enodes) 99.722 * * [simplify]: iters left: 1 (94 enodes) 99.745 * * [simplify]: Extracting #0: cost 1 inf + 0 99.745 * * [simplify]: Extracting #1: cost 11 inf + 0 99.745 * * [simplify]: Extracting #2: cost 27 inf + 1 99.745 * * [simplify]: Extracting #3: cost 29 inf + 409 99.746 * * [simplify]: Extracting #4: cost 12 inf + 2359 99.747 * * [simplify]: Extracting #5: cost 2 inf + 4022 99.749 * * [simplify]: Extracting #6: cost 0 inf + 4466 99.750 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 99.750 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.750 * * * * [progress]: [ 135 / 295 ] simplifiying candidate # 99.751 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 99.751 * * [simplify]: iters left: 6 (9 enodes) 99.757 * * [simplify]: iters left: 5 (36 enodes) 99.770 * * [simplify]: iters left: 4 (62 enodes) 99.786 * * [simplify]: iters left: 3 (78 enodes) 99.810 * * [simplify]: iters left: 2 (90 enodes) 99.826 * * [simplify]: iters left: 1 (94 enodes) 99.837 * * [simplify]: Extracting #0: cost 1 inf + 0 99.837 * * [simplify]: Extracting #1: cost 11 inf + 0 99.837 * * [simplify]: Extracting #2: cost 27 inf + 1 99.838 * * [simplify]: Extracting #3: cost 29 inf + 249 99.838 * * [simplify]: Extracting #4: cost 12 inf + 1879 99.839 * * [simplify]: Extracting #5: cost 2 inf + 3302 99.839 * * [simplify]: Extracting #6: cost 0 inf + 3666 99.840 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 99.840 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.840 * * * * [progress]: [ 136 / 295 ] simplifiying candidate # 99.840 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 99.841 * * [simplify]: iters left: 6 (8 enodes) 99.843 * * [simplify]: iters left: 5 (34 enodes) 99.855 * * [simplify]: iters left: 4 (58 enodes) 99.869 * * [simplify]: iters left: 3 (65 enodes) 99.886 * * [simplify]: Extracting #0: cost 1 inf + 0 99.886 * * [simplify]: Extracting #1: cost 8 inf + 0 99.886 * * [simplify]: Extracting #2: cost 14 inf + 3 99.886 * * [simplify]: Extracting #3: cost 17 inf + 5 99.887 * * [simplify]: Extracting #4: cost 12 inf + 292 99.887 * * [simplify]: Extracting #5: cost 1 inf + 1355 99.888 * * [simplify]: Extracting #6: cost 0 inf + 1478 99.888 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 99.888 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.889 * * * * [progress]: [ 137 / 295 ] simplifiying candidate # 99.889 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 99.889 * * [simplify]: iters left: 6 (8 enodes) 99.894 * * [simplify]: iters left: 5 (33 enodes) 99.900 * * [simplify]: iters left: 4 (52 enodes) 99.910 * * [simplify]: iters left: 3 (62 enodes) 99.919 * * [simplify]: iters left: 2 (67 enodes) 99.928 * * [simplify]: Extracting #0: cost 1 inf + 0 99.929 * * [simplify]: Extracting #1: cost 9 inf + 0 99.929 * * [simplify]: Extracting #2: cost 23 inf + 0 99.929 * * [simplify]: Extracting #3: cost 24 inf + 285 99.929 * * [simplify]: Extracting #4: cost 18 inf + 975 99.929 * * [simplify]: Extracting #5: cost 7 inf + 2516 99.930 * * [simplify]: Extracting #6: cost 0 inf + 3891 99.930 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 99.931 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 99.931 * * * * [progress]: [ 138 / 295 ] simplifiying candidate # 99.932 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 99.932 * * [simplify]: iters left: 6 (9 enodes) 99.935 * * [simplify]: iters left: 5 (36 enodes) 99.944 * * [simplify]: iters left: 4 (58 enodes) 99.963 * * [simplify]: iters left: 3 (75 enodes) 99.977 * * [simplify]: iters left: 2 (87 enodes) 99.990 * * [simplify]: iters left: 1 (91 enodes) 100.002 * * [simplify]: Extracting #0: cost 1 inf + 0 100.003 * * [simplify]: Extracting #1: cost 11 inf + 0 100.003 * * [simplify]: Extracting #2: cost 30 inf + 0 100.003 * * [simplify]: Extracting #3: cost 36 inf + 83 100.003 * * [simplify]: Extracting #4: cost 30 inf + 451 100.003 * * [simplify]: Extracting #5: cost 10 inf + 3649 100.004 * * [simplify]: Extracting #6: cost 0 inf + 5431 100.007 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 100.007 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.008 * * * * [progress]: [ 139 / 295 ] simplifiying candidate # 100.008 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 100.008 * * [simplify]: iters left: 6 (8 enodes) 100.011 * * [simplify]: iters left: 5 (33 enodes) 100.016 * * [simplify]: iters left: 4 (55 enodes) 100.033 * * [simplify]: iters left: 3 (73 enodes) 100.048 * * [simplify]: iters left: 2 (84 enodes) 100.060 * * [simplify]: iters left: 1 (87 enodes) 100.072 * * [simplify]: Extracting #0: cost 1 inf + 0 100.072 * * [simplify]: Extracting #1: cost 11 inf + 0 100.072 * * [simplify]: Extracting #2: cost 25 inf + 203 100.072 * * [simplify]: Extracting #3: cost 29 inf + 407 100.072 * * [simplify]: Extracting #4: cost 24 inf + 896 100.073 * * [simplify]: Extracting #5: cost 9 inf + 2805 100.073 * * [simplify]: Extracting #6: cost 0 inf + 4466 100.074 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 100.074 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.074 * * * * [progress]: [ 140 / 295 ] simplifiying candidate # 100.075 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 100.075 * * [simplify]: iters left: 6 (9 enodes) 100.078 * * [simplify]: iters left: 5 (36 enodes) 100.084 * * [simplify]: iters left: 4 (58 enodes) 100.102 * * [simplify]: iters left: 3 (75 enodes) 100.127 * * [simplify]: iters left: 2 (87 enodes) 100.150 * * [simplify]: iters left: 1 (91 enodes) 100.163 * * [simplify]: Extracting #0: cost 1 inf + 0 100.163 * * [simplify]: Extracting #1: cost 11 inf + 0 100.163 * * [simplify]: Extracting #2: cost 30 inf + 0 100.163 * * [simplify]: Extracting #3: cost 36 inf + 43 100.164 * * [simplify]: Extracting #4: cost 30 inf + 451 100.164 * * [simplify]: Extracting #5: cost 10 inf + 3769 100.165 * * [simplify]: Extracting #6: cost 0 inf + 5431 100.166 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 100.166 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.166 * * * * [progress]: [ 141 / 295 ] simplifiying candidate # 100.166 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 100.166 * * [simplify]: iters left: 6 (8 enodes) 100.169 * * [simplify]: iters left: 5 (33 enodes) 100.175 * * [simplify]: iters left: 4 (51 enodes) 100.184 * * [simplify]: iters left: 3 (59 enodes) 100.199 * * [simplify]: Extracting #0: cost 1 inf + 0 100.199 * * [simplify]: Extracting #1: cost 8 inf + 0 100.199 * * [simplify]: Extracting #2: cost 15 inf + 43 100.200 * * [simplify]: Extracting #3: cost 19 inf + 85 100.200 * * [simplify]: Extracting #4: cost 16 inf + 250 100.200 * * [simplify]: Extracting #5: cost 5 inf + 1311 100.201 * * [simplify]: Extracting #6: cost 0 inf + 1962 100.202 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 100.202 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.202 * * * * [progress]: [ 142 / 295 ] simplifiying candidate # 100.202 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 100.202 * * [simplify]: iters left: 6 (8 enodes) 100.207 * * [simplify]: iters left: 5 (33 enodes) 100.220 * * [simplify]: iters left: 4 (55 enodes) 100.237 * * [simplify]: iters left: 3 (73 enodes) 100.257 * * [simplify]: iters left: 2 (84 enodes) 100.269 * * [simplify]: iters left: 1 (87 enodes) 100.280 * * [simplify]: Extracting #0: cost 1 inf + 0 100.280 * * [simplify]: Extracting #1: cost 11 inf + 0 100.280 * * [simplify]: Extracting #2: cost 25 inf + 123 100.280 * * [simplify]: Extracting #3: cost 29 inf + 247 100.280 * * [simplify]: Extracting #4: cost 24 inf + 576 100.281 * * [simplify]: Extracting #5: cost 9 inf + 2245 100.281 * * [simplify]: Extracting #6: cost 0 inf + 3666 100.282 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 100.282 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.282 * * * * [progress]: [ 143 / 295 ] simplifiying candidate # 100.282 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 100.282 * * [simplify]: iters left: 6 (8 enodes) 100.285 * * [simplify]: iters left: 5 (34 enodes) 100.296 * * [simplify]: iters left: 4 (54 enodes) 100.312 * * [simplify]: iters left: 3 (67 enodes) 100.332 * * [simplify]: iters left: 2 (80 enodes) 100.353 * * [simplify]: iters left: 1 (87 enodes) 100.378 * * [simplify]: Extracting #0: cost 1 inf + 0 100.378 * * [simplify]: Extracting #1: cost 11 inf + 0 100.379 * * [simplify]: Extracting #2: cost 25 inf + 203 100.379 * * [simplify]: Extracting #3: cost 26 inf + 773 100.379 * * [simplify]: Extracting #4: cost 24 inf + 896 100.380 * * [simplify]: Extracting #5: cost 8 inf + 3127 100.381 * * [simplify]: Extracting #6: cost 0 inf + 4466 100.383 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 100.383 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.383 * * * * [progress]: [ 144 / 295 ] simplifiying candidate # 100.383 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 100.384 * * [simplify]: iters left: 6 (8 enodes) 100.389 * * [simplify]: iters left: 5 (34 enodes) 100.400 * * [simplify]: iters left: 4 (54 enodes) 100.417 * * [simplify]: iters left: 3 (67 enodes) 100.435 * * [simplify]: iters left: 2 (80 enodes) 100.447 * * [simplify]: iters left: 1 (87 enodes) 100.459 * * [simplify]: Extracting #0: cost 1 inf + 0 100.459 * * [simplify]: Extracting #1: cost 11 inf + 0 100.459 * * [simplify]: Extracting #2: cost 25 inf + 123 100.460 * * [simplify]: Extracting #3: cost 26 inf + 493 100.460 * * [simplify]: Extracting #4: cost 24 inf + 576 100.460 * * [simplify]: Extracting #5: cost 8 inf + 2527 100.461 * * [simplify]: Extracting #6: cost 0 inf + 3666 100.461 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 100.462 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.462 * * * * [progress]: [ 145 / 295 ] simplifiying candidate # 100.462 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 100.462 * * [simplify]: iters left: 6 (7 enodes) 100.465 * * [simplify]: iters left: 5 (32 enodes) 100.475 * * [simplify]: iters left: 4 (50 enodes) 100.488 * * [simplify]: iters left: 3 (54 enodes) 100.496 * * [simplify]: Extracting #0: cost 1 inf + 0 100.496 * * [simplify]: Extracting #1: cost 8 inf + 0 100.496 * * [simplify]: Extracting #2: cost 13 inf + 3 100.496 * * [simplify]: Extracting #3: cost 15 inf + 5 100.496 * * [simplify]: Extracting #4: cost 14 inf + 6 100.496 * * [simplify]: Extracting #5: cost 4 inf + 825 100.496 * * [simplify]: Extracting #6: cost 0 inf + 1234 100.497 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 100.497 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.497 * * * * [progress]: [ 146 / 295 ] simplifiying candidate # 100.497 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 100.497 * * [simplify]: iters left: 6 (7 enodes) 100.500 * * [simplify]: iters left: 5 (30 enodes) 100.509 * * [simplify]: iters left: 4 (49 enodes) 100.524 * * [simplify]: iters left: 3 (59 enodes) 100.535 * * [simplify]: iters left: 2 (64 enodes) 100.544 * * [simplify]: Extracting #0: cost 1 inf + 0 100.544 * * [simplify]: Extracting #1: cost 9 inf + 0 100.544 * * [simplify]: Extracting #2: cost 23 inf + 0 100.544 * * [simplify]: Extracting #3: cost 24 inf + 3 100.544 * * [simplify]: Extracting #4: cost 15 inf + 980 100.544 * * [simplify]: Extracting #5: cost 1 inf + 3007 100.545 * * [simplify]: Extracting #6: cost 0 inf + 3169 100.545 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 100.545 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.546 * * * * [progress]: [ 147 / 295 ] simplifiying candidate # 100.546 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 100.546 * * [simplify]: iters left: 6 (8 enodes) 100.549 * * [simplify]: iters left: 5 (33 enodes) 100.554 * * [simplify]: iters left: 4 (55 enodes) 100.565 * * [simplify]: iters left: 3 (72 enodes) 100.586 * * [simplify]: iters left: 2 (84 enodes) 100.613 * * [simplify]: iters left: 1 (88 enodes) 100.635 * * [simplify]: Extracting #0: cost 1 inf + 0 100.635 * * [simplify]: Extracting #1: cost 11 inf + 0 100.635 * * [simplify]: Extracting #2: cost 30 inf + 0 100.636 * * [simplify]: Extracting #3: cost 33 inf + 84 100.636 * * [simplify]: Extracting #4: cost 12 inf + 2402 100.638 * * [simplify]: Extracting #5: cost 0 inf + 4469 100.639 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 100.639 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.640 * * * * [progress]: [ 148 / 295 ] simplifiying candidate # 100.640 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 100.640 * * [simplify]: iters left: 6 (7 enodes) 100.645 * * [simplify]: iters left: 5 (30 enodes) 100.654 * * [simplify]: iters left: 4 (52 enodes) 100.663 * * [simplify]: iters left: 3 (70 enodes) 100.673 * * [simplify]: iters left: 2 (81 enodes) 100.686 * * [simplify]: iters left: 1 (84 enodes) 100.708 * * [simplify]: Extracting #0: cost 1 inf + 0 100.708 * * [simplify]: Extracting #1: cost 11 inf + 0 100.708 * * [simplify]: Extracting #2: cost 25 inf + 203 100.708 * * [simplify]: Extracting #3: cost 25 inf + 530 100.709 * * [simplify]: Extracting #4: cost 4 inf + 2936 100.710 * * [simplify]: Extracting #5: cost 0 inf + 3504 100.711 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 100.711 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.712 * * * * [progress]: [ 149 / 295 ] simplifiying candidate # 100.712 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 100.712 * * [simplify]: iters left: 6 (8 enodes) 100.717 * * [simplify]: iters left: 5 (33 enodes) 100.728 * * [simplify]: iters left: 4 (55 enodes) 100.737 * * [simplify]: iters left: 3 (72 enodes) 100.748 * * [simplify]: iters left: 2 (84 enodes) 100.761 * * [simplify]: iters left: 1 (88 enodes) 100.777 * * [simplify]: Extracting #0: cost 1 inf + 0 100.777 * * [simplify]: Extracting #1: cost 11 inf + 0 100.777 * * [simplify]: Extracting #2: cost 30 inf + 0 100.777 * * [simplify]: Extracting #3: cost 33 inf + 44 100.778 * * [simplify]: Extracting #4: cost 12 inf + 2362 100.778 * * [simplify]: Extracting #5: cost 0 inf + 4469 100.779 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 100.779 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.779 * * * * [progress]: [ 150 / 295 ] simplifiying candidate # 100.780 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 100.780 * * [simplify]: iters left: 6 (7 enodes) 100.782 * * [simplify]: iters left: 5 (30 enodes) 100.788 * * [simplify]: iters left: 4 (48 enodes) 100.795 * * [simplify]: iters left: 3 (56 enodes) 100.807 * * [simplify]: Extracting #0: cost 1 inf + 0 100.808 * * [simplify]: Extracting #1: cost 8 inf + 0 100.808 * * [simplify]: Extracting #2: cost 15 inf + 43 100.808 * * [simplify]: Extracting #3: cost 16 inf + 86 100.808 * * [simplify]: Extracting #4: cost 5 inf + 911 100.809 * * [simplify]: Extracting #5: cost 1 inf + 1198 100.809 * * [simplify]: Extracting #6: cost 0 inf + 1320 100.810 * [simplify]: Simplified to (/ (- 1 k) 2) 100.810 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.810 * * * * [progress]: [ 151 / 295 ] simplifiying candidate # 100.811 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 100.811 * * [simplify]: iters left: 6 (7 enodes) 100.815 * * [simplify]: iters left: 5 (30 enodes) 100.829 * * [simplify]: iters left: 4 (52 enodes) 100.846 * * [simplify]: iters left: 3 (70 enodes) 100.865 * * [simplify]: iters left: 2 (81 enodes) 100.886 * * [simplify]: iters left: 1 (84 enodes) 100.900 * * [simplify]: Extracting #0: cost 1 inf + 0 100.901 * * [simplify]: Extracting #1: cost 11 inf + 0 100.901 * * [simplify]: Extracting #2: cost 25 inf + 123 100.901 * * [simplify]: Extracting #3: cost 25 inf + 330 100.901 * * [simplify]: Extracting #4: cost 4 inf + 2256 100.902 * * [simplify]: Extracting #5: cost 0 inf + 2704 100.902 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 100.902 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.903 * * * * [progress]: [ 152 / 295 ] simplifiying candidate # 100.903 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 100.903 * * [simplify]: iters left: 6 (7 enodes) 100.905 * * [simplify]: iters left: 5 (31 enodes) 100.911 * * [simplify]: iters left: 4 (51 enodes) 100.919 * * [simplify]: iters left: 3 (64 enodes) 100.928 * * [simplify]: iters left: 2 (77 enodes) 100.942 * * [simplify]: iters left: 1 (84 enodes) 100.963 * * [simplify]: Extracting #0: cost 1 inf + 0 100.964 * * [simplify]: Extracting #1: cost 11 inf + 0 100.964 * * [simplify]: Extracting #2: cost 26 inf + 82 100.964 * * [simplify]: Extracting #3: cost 24 inf + 692 100.965 * * [simplify]: Extracting #4: cost 3 inf + 3057 100.966 * * [simplify]: Extracting #5: cost 0 inf + 3504 100.966 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 100.966 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 100.966 * * * * [progress]: [ 153 / 295 ] simplifiying candidate # 100.967 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 100.967 * * [simplify]: iters left: 6 (7 enodes) 100.969 * * [simplify]: iters left: 5 (31 enodes) 100.975 * * [simplify]: iters left: 4 (51 enodes) 100.983 * * [simplify]: iters left: 3 (64 enodes) 100.992 * * [simplify]: iters left: 2 (77 enodes) 101.012 * * [simplify]: iters left: 1 (84 enodes) 101.027 * * [simplify]: Extracting #0: cost 1 inf + 0 101.027 * * [simplify]: Extracting #1: cost 11 inf + 0 101.028 * * [simplify]: Extracting #2: cost 26 inf + 42 101.028 * * [simplify]: Extracting #3: cost 24 inf + 452 101.028 * * [simplify]: Extracting #4: cost 3 inf + 2337 101.029 * * [simplify]: Extracting #5: cost 0 inf + 2704 101.029 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 101.029 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.029 * * * * [progress]: [ 154 / 295 ] simplifiying candidate # 101.030 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 101.030 * * [simplify]: iters left: 6 (6 enodes) 101.032 * * [simplify]: iters left: 5 (29 enodes) 101.037 * * [simplify]: iters left: 4 (44 enodes) 101.351 * * [simplify]: iters left: 3 (50 enodes) 101.364 * * [simplify]: iters left: 2 (57 enodes) 101.372 * * [simplify]: Extracting #0: cost 1 inf + 0 101.372 * * [simplify]: Extracting #1: cost 9 inf + 0 101.372 * * [simplify]: Extracting #2: cost 15 inf + 3 101.372 * * [simplify]: Extracting #3: cost 11 inf + 131 101.373 * * [simplify]: Extracting #4: cost 2 inf + 711 101.373 * * [simplify]: Extracting #5: cost 0 inf + 836 101.373 * [simplify]: Simplified to (- 1/4 (/ k 4)) 101.373 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.373 * * * * [progress]: [ 155 / 295 ] simplifiying candidate # 101.373 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 101.373 * * [simplify]: iters left: 6 (7 enodes) 101.376 * * [simplify]: iters left: 5 (31 enodes) 101.382 * * [simplify]: iters left: 4 (51 enodes) 101.390 * * [simplify]: iters left: 3 (64 enodes) 101.399 * * [simplify]: iters left: 2 (77 enodes) 101.417 * * [simplify]: iters left: 1 (84 enodes) 101.438 * * [simplify]: Extracting #0: cost 1 inf + 0 101.438 * * [simplify]: Extracting #1: cost 11 inf + 0 101.438 * * [simplify]: Extracting #2: cost 26 inf + 82 101.438 * * [simplify]: Extracting #3: cost 24 inf + 692 101.439 * * [simplify]: Extracting #4: cost 3 inf + 3057 101.440 * * [simplify]: Extracting #5: cost 0 inf + 3504 101.441 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 101.441 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.442 * * * * [progress]: [ 156 / 295 ] simplifiying candidate # 101.442 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 101.442 * * [simplify]: iters left: 6 (7 enodes) 101.447 * * [simplify]: iters left: 5 (31 enodes) 101.461 * * [simplify]: iters left: 4 (51 enodes) 101.476 * * [simplify]: iters left: 3 (64 enodes) 101.494 * * [simplify]: iters left: 2 (77 enodes) 101.515 * * [simplify]: iters left: 1 (84 enodes) 101.535 * * [simplify]: Extracting #0: cost 1 inf + 0 101.536 * * [simplify]: Extracting #1: cost 11 inf + 0 101.536 * * [simplify]: Extracting #2: cost 26 inf + 42 101.536 * * [simplify]: Extracting #3: cost 24 inf + 452 101.537 * * [simplify]: Extracting #4: cost 3 inf + 2337 101.538 * * [simplify]: Extracting #5: cost 0 inf + 2704 101.539 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 101.539 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.539 * * * * [progress]: [ 157 / 295 ] simplifiying candidate # 101.540 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 101.540 * * [simplify]: iters left: 6 (6 enodes) 101.544 * * [simplify]: iters left: 5 (29 enodes) 101.554 * * [simplify]: iters left: 4 (44 enodes) 101.567 * * [simplify]: iters left: 3 (50 enodes) 101.581 * * [simplify]: iters left: 2 (57 enodes) 101.597 * * [simplify]: Extracting #0: cost 1 inf + 0 101.597 * * [simplify]: Extracting #1: cost 9 inf + 0 101.597 * * [simplify]: Extracting #2: cost 15 inf + 3 101.597 * * [simplify]: Extracting #3: cost 11 inf + 131 101.598 * * [simplify]: Extracting #4: cost 2 inf + 711 101.598 * * [simplify]: Extracting #5: cost 0 inf + 836 101.598 * [simplify]: Simplified to (- 1/4 (/ k 4)) 101.599 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.599 * * * * [progress]: [ 158 / 295 ] simplifiying candidate # 101.599 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 101.599 * * [simplify]: iters left: 4 (5 enodes) 101.603 * * [simplify]: iters left: 3 (20 enodes) 101.612 * * [simplify]: iters left: 2 (27 enodes) 101.621 * * [simplify]: iters left: 1 (29 enodes) 101.630 * * [simplify]: Extracting #0: cost 1 inf + 0 101.630 * * [simplify]: Extracting #1: cost 8 inf + 0 101.630 * * [simplify]: Extracting #2: cost 4 inf + 449 101.630 * * [simplify]: Extracting #3: cost 0 inf + 895 101.630 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 101.631 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.631 * * * * [progress]: [ 159 / 295 ] simplifiying candidate # 101.631 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 101.631 * * [simplify]: iters left: 4 (5 enodes) 101.635 * * [simplify]: iters left: 3 (20 enodes) 101.643 * * [simplify]: iters left: 2 (27 enodes) 101.652 * * [simplify]: iters left: 1 (29 enodes) 101.661 * * [simplify]: Extracting #0: cost 1 inf + 0 101.661 * * [simplify]: Extracting #1: cost 8 inf + 0 101.661 * * [simplify]: Extracting #2: cost 4 inf + 289 101.662 * * [simplify]: Extracting #3: cost 0 inf + 575 101.662 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 101.662 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.662 * * * * [progress]: [ 160 / 295 ] simplifiying candidate # 101.662 * [simplify]: Simplifying (/ (/ 1 2) 2) 101.662 * * [simplify]: iters left: 4 (4 enodes) 101.667 * * [simplify]: iters left: 3 (19 enodes) 101.673 * * [simplify]: iters left: 2 (23 enodes) 101.681 * * [simplify]: Extracting #0: cost 1 inf + 0 101.681 * * [simplify]: Extracting #1: cost 0 inf + 1 101.681 * [simplify]: Simplified to 1/4 101.681 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) 1)) 1/4) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.681 * * * * [progress]: [ 161 / 295 ] simplifiying candidate # 101.681 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 101.681 * * [simplify]: iters left: 6 (6 enodes) 101.686 * * [simplify]: iters left: 5 (29 enodes) 101.696 * * [simplify]: iters left: 4 (44 enodes) 101.710 * * [simplify]: iters left: 3 (50 enodes) 101.725 * * [simplify]: iters left: 2 (57 enodes) 101.735 * * [simplify]: Extracting #0: cost 1 inf + 0 101.735 * * [simplify]: Extracting #1: cost 9 inf + 0 101.735 * * [simplify]: Extracting #2: cost 15 inf + 3 101.735 * * [simplify]: Extracting #3: cost 11 inf + 131 101.736 * * [simplify]: Extracting #4: cost 2 inf + 711 101.736 * * [simplify]: Extracting #5: cost 0 inf + 836 101.736 * [simplify]: Simplified to (- 1/4 (/ k 4)) 101.736 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n 1) (- 1/4 (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.736 * * * * [progress]: [ 162 / 295 ] simplifiying candidate # 101.736 * [simplify]: Simplifying (/ 1 2) 101.737 * * [simplify]: iters left: 2 (3 enodes) 101.738 * * [simplify]: iters left: 1 (12 enodes) 101.740 * * [simplify]: Extracting #0: cost 1 inf + 0 101.740 * * [simplify]: Extracting #1: cost 0 inf + 1 101.740 * [simplify]: Simplified to 1/2 101.741 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (- 1 k) 2)) 1/2) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 101.741 * * * * [progress]: [ 163 / 295 ] simplifiying candidate # 101.741 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1 k) 2) 2)) 101.741 * * [simplify]: iters left: 6 (10 enodes) 101.744 * * [simplify]: iters left: 5 (44 enodes) 101.754 * * [simplify]: iters left: 4 (72 enodes) 101.767 * * [simplify]: iters left: 3 (122 enodes) 101.813 * * [simplify]: iters left: 2 (241 enodes) 101.900 * * [simplify]: iters left: 1 (454 enodes) 102.080 * * [simplify]: Extracting #0: cost 1 inf + 0 102.080 * * [simplify]: Extracting #1: cost 27 inf + 0 102.081 * * [simplify]: Extracting #2: cost 107 inf + 1 102.082 * * [simplify]: Extracting #3: cost 190 inf + 9 102.083 * * [simplify]: Extracting #4: cost 158 inf + 5063 102.090 * * [simplify]: Extracting #5: cost 39 inf + 39943 102.106 * * [simplify]: Extracting #6: cost 0 inf + 58811 102.122 * * [simplify]: Extracting #7: cost 0 inf + 58327 102.139 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) 102.139 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) (pow (cbrt n) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.140 * * * * [progress]: [ 164 / 295 ] simplifiying candidate # 102.140 * [simplify]: Simplifying (pow (sqrt n) (/ (/ (- 1 k) 2) 2)) 102.140 * * [simplify]: iters left: 6 (9 enodes) 102.151 * * [simplify]: iters left: 5 (41 enodes) 102.165 * * [simplify]: iters left: 4 (69 enodes) 102.189 * * [simplify]: iters left: 3 (119 enodes) 102.234 * * [simplify]: iters left: 2 (241 enodes) 102.334 * * [simplify]: iters left: 1 (467 enodes) 102.566 * * [simplify]: Extracting #0: cost 1 inf + 0 102.567 * * [simplify]: Extracting #1: cost 25 inf + 0 102.567 * * [simplify]: Extracting #2: cost 114 inf + 1 102.568 * * [simplify]: Extracting #3: cost 192 inf + 93 102.569 * * [simplify]: Extracting #4: cost 192 inf + 519 102.572 * * [simplify]: Extracting #5: cost 82 inf + 16987 102.582 * * [simplify]: Extracting #6: cost 20 inf + 42175 102.592 * * [simplify]: Extracting #7: cost 0 inf + 58933 102.607 * * [simplify]: Extracting #8: cost 0 inf + 58533 102.626 * [simplify]: Simplified to (pow (sqrt n) (- 1/4 (/ k 4))) 102.626 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (sqrt n) (- 1/4 (/ k 4))) (pow (sqrt n) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.627 * * * * [progress]: [ 165 / 295 ] simplifiying candidate # 102.627 * [simplify]: Simplifying (pow 1 (/ (/ (- 1 k) 2) 2)) 102.627 * * [simplify]: iters left: 6 (7 enodes) 102.632 * * [simplify]: iters left: 5 (30 enodes) 102.642 * * [simplify]: iters left: 4 (45 enodes) 102.655 * * [simplify]: iters left: 3 (51 enodes) 102.670 * * [simplify]: iters left: 2 (58 enodes) 102.685 * * [simplify]: Extracting #0: cost 1 inf + 0 102.685 * * [simplify]: Extracting #1: cost 0 inf + 1 102.685 * [simplify]: Simplified to 1 102.685 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* 1 (pow n (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.685 * * * * [progress]: [ 166 / 295 ] simplifiying candidate # 102.685 * * * * [progress]: [ 167 / 295 ] simplifiying candidate # 102.685 * * * * [progress]: [ 168 / 295 ] simplifiying candidate # 102.685 * * * * [progress]: [ 169 / 295 ] simplifiying candidate # 102.685 * * * * [progress]: [ 170 / 295 ] simplifiying candidate # 102.686 * * * * [progress]: [ 171 / 295 ] simplifiying candidate # 102.686 * * * * [progress]: [ 172 / 295 ] simplifiying candidate # 102.686 * * * * [progress]: [ 173 / 295 ] simplifiying candidate # 102.686 * * * * [progress]: [ 174 / 295 ] simplifiying candidate #real (real->posit16 (pow n (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))> 102.686 * * * * [progress]: [ 175 / 295 ] simplifiying candidate # 102.686 * [simplify]: Simplifying (* n (* 2 PI)) 102.686 * * [simplify]: iters left: 4 (5 enodes) 102.689 * * [simplify]: iters left: 3 (19 enodes) 102.692 * * [simplify]: iters left: 2 (27 enodes) 102.696 * * [simplify]: iters left: 1 (32 enodes) 102.701 * * [simplify]: Extracting #0: cost 1 inf + 0 102.701 * * [simplify]: Extracting #1: cost 8 inf + 0 102.702 * * [simplify]: Extracting #2: cost 7 inf + 45 102.702 * * [simplify]: Extracting #3: cost 0 inf + 421 102.702 * [simplify]: Simplified to (* (* PI 2) n) 102.702 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.702 * * * * [progress]: [ 176 / 295 ] simplifiying candidate # 102.702 * [simplify]: Simplifying (* n (* 2 PI)) 102.702 * * [simplify]: iters left: 4 (5 enodes) 102.704 * * [simplify]: iters left: 3 (19 enodes) 102.707 * * [simplify]: iters left: 2 (27 enodes) 102.711 * * [simplify]: iters left: 1 (32 enodes) 102.715 * * [simplify]: Extracting #0: cost 1 inf + 0 102.715 * * [simplify]: Extracting #1: cost 8 inf + 0 102.715 * * [simplify]: Extracting #2: cost 7 inf + 45 102.715 * * [simplify]: Extracting #3: cost 0 inf + 421 102.715 * [simplify]: Simplified to (* (* PI 2) n) 102.716 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.716 * * * * [progress]: [ 177 / 295 ] simplifiying candidate # 102.716 * * * * [progress]: [ 178 / 295 ] simplifiying candidate # 102.716 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 102.716 * * [simplify]: iters left: 5 (8 enodes) 102.718 * * [simplify]: iters left: 4 (28 enodes) 102.722 * * [simplify]: iters left: 3 (36 enodes) 102.730 * * [simplify]: iters left: 2 (42 enodes) 102.737 * * [simplify]: Extracting #0: cost 1 inf + 0 102.737 * * [simplify]: Extracting #1: cost 8 inf + 0 102.737 * * [simplify]: Extracting #2: cost 17 inf + 0 102.737 * * [simplify]: Extracting #3: cost 12 inf + 145 102.737 * * [simplify]: Extracting #4: cost 5 inf + 1197 102.737 * * [simplify]: Extracting #5: cost 1 inf + 1925 102.738 * * [simplify]: Extracting #6: cost 0 inf + 2107 102.738 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 102.738 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.738 * * * * [progress]: [ 179 / 295 ] simplifiying candidate # 102.738 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 102.739 * * [simplify]: iters left: 5 (7 enodes) 102.741 * * [simplify]: iters left: 4 (26 enodes) 102.745 * * [simplify]: iters left: 3 (35 enodes) 102.750 * * [simplify]: iters left: 2 (44 enodes) 102.755 * * [simplify]: Extracting #0: cost 1 inf + 0 102.755 * * [simplify]: Extracting #1: cost 8 inf + 0 102.756 * * [simplify]: Extracting #2: cost 18 inf + 0 102.756 * * [simplify]: Extracting #3: cost 15 inf + 74 102.756 * * [simplify]: Extracting #4: cost 8 inf + 554 102.756 * * [simplify]: Extracting #5: cost 0 inf + 1911 102.756 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 102.756 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 102.756 * * * * [progress]: [ 180 / 295 ] simplifiying candidate # 102.756 * * * * [progress]: [ 181 / 295 ] simplifiying candidate # 102.757 * * * * [progress]: [ 182 / 295 ] simplifiying candidate # 102.757 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 102.757 * * [simplify]: iters left: 6 (11 enodes) 102.761 * * [simplify]: iters left: 5 (48 enodes) 102.779 * * [simplify]: iters left: 4 (121 enodes) 102.818 * * [simplify]: iters left: 3 (348 enodes) 103.061 * * [simplify]: Extracting #0: cost 1 inf + 0 103.061 * * [simplify]: Extracting #1: cost 67 inf + 0 103.063 * * [simplify]: Extracting #2: cost 165 inf + 786 103.072 * * [simplify]: Extracting #3: cost 85 inf + 10177 103.084 * * [simplify]: Extracting #4: cost 9 inf + 26399 103.091 * * [simplify]: Extracting #5: cost 0 inf + 28546 103.098 * * [simplify]: Extracting #6: cost 0 inf + 28506 103.104 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 103.104 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.105 * * * * [progress]: [ 183 / 295 ] simplifiying candidate # 103.105 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 103.105 * * [simplify]: iters left: 6 (9 enodes) 103.108 * * [simplify]: iters left: 5 (45 enodes) 103.117 * * [simplify]: iters left: 4 (117 enodes) 103.176 * * [simplify]: iters left: 3 (374 enodes) 103.457 * * [simplify]: Extracting #0: cost 1 inf + 0 103.457 * * [simplify]: Extracting #1: cost 77 inf + 0 103.461 * * [simplify]: Extracting #2: cost 184 inf + 984 103.468 * * [simplify]: Extracting #3: cost 106 inf + 11690 103.481 * * [simplify]: Extracting #4: cost 6 inf + 30376 103.491 * * [simplify]: Extracting #5: cost 0 inf + 31644 103.500 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 103.500 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.500 * * * * [progress]: [ 184 / 295 ] simplifiying candidate # 103.500 * * * * [progress]: [ 185 / 295 ] simplifiying candidate # 103.500 * * * * [progress]: [ 186 / 295 ] simplifiying candidate # 103.500 * * * * [progress]: [ 187 / 295 ] simplifiying candidate # 103.500 * * * * [progress]: [ 188 / 295 ] simplifiying candidate # 103.500 * * * * [progress]: [ 189 / 295 ] simplifiying candidate # 103.501 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 103.501 * * [simplify]: iters left: 3 (3 enodes) 103.501 * * [simplify]: iters left: 2 (9 enodes) 103.503 * * [simplify]: Extracting #0: cost 1 inf + 0 103.503 * * [simplify]: Extracting #1: cost 3 inf + 0 103.503 * * [simplify]: Extracting #2: cost 5 inf + 0 103.503 * * [simplify]: Extracting #3: cost 4 inf + 1 103.503 * * [simplify]: Extracting #4: cost 0 inf + 405 103.503 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 103.503 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.503 * * * * [progress]: [ 190 / 295 ] simplifiying candidate # 103.503 * [simplify]: Simplifying (sqrt n) 103.503 * * [simplify]: iters left: 1 (2 enodes) 103.503 * * [simplify]: Extracting #0: cost 1 inf + 0 103.503 * * [simplify]: Extracting #1: cost 3 inf + 0 103.503 * * [simplify]: Extracting #2: cost 2 inf + 1 103.504 * * [simplify]: Extracting #3: cost 0 inf + 83 103.504 * [simplify]: Simplified to (sqrt n) 103.504 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 103.504 * * * * [progress]: [ 191 / 295 ] simplifiying candidate # 103.504 * * * * [progress]: [ 192 / 295 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))> 103.504 * * * * [progress]: [ 193 / 295 ] simplifiying candidate # 103.504 * * * * [progress]: [ 194 / 295 ] simplifiying candidate # 103.504 * [simplify]: Simplifying (* n (* (* 2 PI) (* n (* 2 PI)))) 103.504 * * [simplify]: iters left: 6 (7 enodes) 103.507 * * [simplify]: iters left: 5 (30 enodes) 103.518 * * [simplify]: iters left: 4 (74 enodes) 103.553 * * [simplify]: iters left: 3 (193 enodes) 103.631 * * [simplify]: iters left: 2 (317 enodes) 103.713 * * [simplify]: iters left: 1 (351 enodes) 103.788 * * [simplify]: Extracting #0: cost 1 inf + 0 103.788 * * [simplify]: Extracting #1: cost 27 inf + 0 103.788 * * [simplify]: Extracting #2: cost 41 inf + 210 103.789 * * [simplify]: Extracting #3: cost 11 inf + 2597 103.791 * * [simplify]: Extracting #4: cost 0 inf + 3584 103.792 * * [simplify]: Extracting #5: cost 0 inf + 3544 103.794 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* PI 2) n)) 103.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* (* PI 2) n) (* (* PI 2) n)) (/ (/ (- 1 k) 2) 2)) (sqrt k))) 103.794 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 103.794 * * [simplify]: iters left: 6 (6 enodes) 103.797 * * [simplify]: iters left: 5 (29 enodes) 103.802 * * [simplify]: iters left: 4 (44 enodes) 103.812 * * [simplify]: iters left: 3 (50 enodes) 103.827 * * [simplify]: iters left: 2 (57 enodes) 103.838 * * [simplify]: Extracting #0: cost 1 inf + 0 103.838 * * [simplify]: Extracting #1: cost 9 inf + 0 103.838 * * [simplify]: Extracting #2: cost 15 inf + 3 103.838 * * [simplify]: Extracting #3: cost 11 inf + 131 103.839 * * [simplify]: Extracting #4: cost 2 inf + 711 103.839 * * [simplify]: Extracting #5: cost 0 inf + 836 103.839 * [simplify]: Simplified to (- 1/4 (/ k 4)) 103.839 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* (* PI 2) n) (* (* PI 2) n)) (- 1/4 (/ k 4))) (sqrt k))) 103.839 * * * * [progress]: [ 195 / 295 ] simplifiying candidate # 103.839 * * * * [progress]: [ 196 / 295 ] simplifiying candidate # 103.840 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 103.840 * * [simplify]: iters left: 6 (18 enodes) 103.845 * * [simplify]: iters left: 5 (84 enodes) 103.861 * * [simplify]: iters left: 4 (176 enodes) 103.941 * * [simplify]: Extracting #0: cost 1 inf + 0 103.941 * * [simplify]: Extracting #1: cost 20 inf + 0 103.942 * * [simplify]: Extracting #2: cost 93 inf + 2 103.943 * * [simplify]: Extracting #3: cost 165 inf + 74 103.944 * * [simplify]: Extracting #4: cost 137 inf + 3281 103.954 * * [simplify]: Extracting #5: cost 30 inf + 33740 103.969 * * [simplify]: Extracting #6: cost 0 inf + 45614 103.987 * [simplify]: Simplified to (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 103.987 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 103.987 * * * * [progress]: [ 197 / 295 ] simplifiying candidate # 103.988 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 103.988 * * [simplify]: iters left: 6 (20 enodes) 103.999 * * [simplify]: iters left: 5 (87 enodes) 104.025 * * [simplify]: iters left: 4 (182 enodes) 104.102 * * [simplify]: Extracting #0: cost 1 inf + 0 104.103 * * [simplify]: Extracting #1: cost 15 inf + 0 104.103 * * [simplify]: Extracting #2: cost 88 inf + 0 104.104 * * [simplify]: Extracting #3: cost 156 inf + 74 104.105 * * [simplify]: Extracting #4: cost 126 inf + 3817 104.115 * * [simplify]: Extracting #5: cost 14 inf + 33293 104.129 * * [simplify]: Extracting #6: cost 0 inf + 38070 104.147 * * [simplify]: Extracting #7: cost 0 inf + 37960 104.161 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (+ (log (* 2 PI)) (log n)) (+ (log (* 2 PI)) (log n)))) 104.162 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (+ (log (* 2 PI)) (log n)) (+ (log (* 2 PI)) (log n))))) (sqrt k))) 104.162 * * * * [progress]: [ 198 / 295 ] simplifiying candidate # 104.162 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 104.162 * * [simplify]: iters left: 6 (20 enodes) 104.174 * * [simplify]: iters left: 5 (93 enodes) 104.202 * * [simplify]: iters left: 4 (181 enodes) 104.243 * * [simplify]: iters left: 3 (447 enodes) 104.438 * * [simplify]: Extracting #0: cost 1 inf + 0 104.438 * * [simplify]: Extracting #1: cost 45 inf + 0 104.439 * * [simplify]: Extracting #2: cost 240 inf + 2 104.440 * * [simplify]: Extracting #3: cost 327 inf + 1575 104.443 * * [simplify]: Extracting #4: cost 268 inf + 14177 104.454 * * [simplify]: Extracting #5: cost 79 inf + 67510 104.473 * * [simplify]: Extracting #6: cost 2 inf + 90303 104.502 * * [simplify]: Extracting #7: cost 0 inf + 90544 104.541 * * [simplify]: Extracting #8: cost 0 inf + 90464 104.578 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n))))) 104.578 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))))) (sqrt k))) 104.578 * * * * [progress]: [ 199 / 295 ] simplifiying candidate # 104.579 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 104.579 * * [simplify]: iters left: 6 (20 enodes) 104.588 * * [simplify]: iters left: 5 (93 enodes) 104.604 * * [simplify]: iters left: 4 (181 enodes) 104.668 * * [simplify]: iters left: 3 (447 enodes) 104.910 * * [simplify]: Extracting #0: cost 1 inf + 0 104.910 * * [simplify]: Extracting #1: cost 45 inf + 0 104.911 * * [simplify]: Extracting #2: cost 240 inf + 2 104.912 * * [simplify]: Extracting #3: cost 327 inf + 1575 104.915 * * [simplify]: Extracting #4: cost 268 inf + 14177 104.930 * * [simplify]: Extracting #5: cost 79 inf + 67510 104.966 * * [simplify]: Extracting #6: cost 2 inf + 90303 105.006 * * [simplify]: Extracting #7: cost 0 inf + 90544 105.039 * * [simplify]: Extracting #8: cost 0 inf + 90464 105.058 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n))))) 105.058 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))))) (sqrt k))) 105.059 * * * * [progress]: [ 200 / 295 ] simplifiying candidate # 105.059 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 105.059 * * [simplify]: iters left: 6 (20 enodes) 105.065 * * [simplify]: iters left: 5 (91 enodes) 105.096 * * [simplify]: iters left: 4 (184 enodes) 105.138 * * [simplify]: iters left: 3 (442 enodes) 105.287 * * [simplify]: Extracting #0: cost 1 inf + 0 105.288 * * [simplify]: Extracting #1: cost 42 inf + 0 105.289 * * [simplify]: Extracting #2: cost 233 inf + 2 105.290 * * [simplify]: Extracting #3: cost 346 inf + 298 105.293 * * [simplify]: Extracting #4: cost 284 inf + 16013 105.306 * * [simplify]: Extracting #5: cost 119 inf + 53173 105.322 * * [simplify]: Extracting #6: cost 11 inf + 87005 105.340 * * [simplify]: Extracting #7: cost 0 inf + 92985 105.359 * [simplify]: Simplified to (+ (/ (* (- 1 k) (log (* PI (* 2 n)))) 4) (/ (* (- 1 k) (log (* PI (* 2 n)))) 4)) 105.359 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (* (- 1 k) (log (* PI (* 2 n)))) 4) (/ (* (- 1 k) (log (* PI (* 2 n)))) 4))) (sqrt k))) 105.359 * * * * [progress]: [ 201 / 295 ] simplifiying candidate # 105.360 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 105.360 * * [simplify]: iters left: 6 (20 enodes) 105.372 * * [simplify]: iters left: 5 (89 enodes) 105.406 * * [simplify]: iters left: 4 (189 enodes) 105.497 * * [simplify]: Extracting #0: cost 1 inf + 0 105.497 * * [simplify]: Extracting #1: cost 20 inf + 0 105.497 * * [simplify]: Extracting #2: cost 95 inf + 2 105.498 * * [simplify]: Extracting #3: cost 167 inf + 74 105.500 * * [simplify]: Extracting #4: cost 149 inf + 1787 105.506 * * [simplify]: Extracting #5: cost 64 inf + 20002 105.519 * * [simplify]: Extracting #6: cost 3 inf + 40833 105.529 * * [simplify]: Extracting #7: cost 0 inf + 41588 105.538 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4)) 105.538 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4))) (sqrt k))) 105.538 * * * * [progress]: [ 202 / 295 ] simplifiying candidate # 105.538 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 105.538 * * [simplify]: iters left: 6 (17 enodes) 105.544 * * [simplify]: iters left: 5 (82 enodes) 105.566 * * [simplify]: iters left: 4 (165 enodes) 105.605 * * [simplify]: iters left: 3 (418 enodes) 105.776 * * [simplify]: Extracting #0: cost 1 inf + 0 105.776 * * [simplify]: Extracting #1: cost 44 inf + 0 105.777 * * [simplify]: Extracting #2: cost 227 inf + 2 105.778 * * [simplify]: Extracting #3: cost 313 inf + 1087 105.780 * * [simplify]: Extracting #4: cost 270 inf + 9224 105.790 * * [simplify]: Extracting #5: cost 166 inf + 36474 105.816 * * [simplify]: Extracting #6: cost 16 inf + 84676 105.853 * * [simplify]: Extracting #7: cost 0 inf + 89866 105.889 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 105.889 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 105.889 * * * * [progress]: [ 203 / 295 ] simplifiying candidate # 105.890 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 105.890 * * [simplify]: iters left: 6 (18 enodes) 105.901 * * [simplify]: iters left: 5 (88 enodes) 105.935 * * [simplify]: iters left: 4 (179 enodes) 105.974 * * [simplify]: iters left: 3 (411 enodes) 106.159 * * [simplify]: Extracting #0: cost 1 inf + 0 106.159 * * [simplify]: Extracting #1: cost 41 inf + 0 106.160 * * [simplify]: Extracting #2: cost 207 inf + 2 106.162 * * [simplify]: Extracting #3: cost 296 inf + 1279 106.168 * * [simplify]: Extracting #4: cost 231 inf + 15544 106.192 * * [simplify]: Extracting #5: cost 36 inf + 67362 106.212 * * [simplify]: Extracting #6: cost 0 inf + 78063 106.228 * * [simplify]: Extracting #7: cost 0 inf + 77363 106.263 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 106.263 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 106.263 * * * * [progress]: [ 204 / 295 ] simplifiying candidate # 106.263 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 106.263 * * [simplify]: iters left: 6 (18 enodes) 106.274 * * [simplify]: iters left: 5 (88 enodes) 106.304 * * [simplify]: iters left: 4 (179 enodes) 106.363 * * [simplify]: iters left: 3 (411 enodes) 106.508 * * [simplify]: Extracting #0: cost 1 inf + 0 106.509 * * [simplify]: Extracting #1: cost 41 inf + 0 106.510 * * [simplify]: Extracting #2: cost 207 inf + 2 106.512 * * [simplify]: Extracting #3: cost 296 inf + 1279 106.518 * * [simplify]: Extracting #4: cost 231 inf + 15544 106.542 * * [simplify]: Extracting #5: cost 36 inf + 67362 106.579 * * [simplify]: Extracting #6: cost 0 inf + 78063 106.612 * * [simplify]: Extracting #7: cost 0 inf + 77363 106.633 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 106.633 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 106.633 * * * * [progress]: [ 205 / 295 ] simplifiying candidate # 106.633 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 106.634 * * [simplify]: iters left: 6 (18 enodes) 106.640 * * [simplify]: iters left: 5 (87 enodes) 106.655 * * [simplify]: iters left: 4 (178 enodes) 106.722 * * [simplify]: iters left: 3 (429 enodes) 106.883 * * [simplify]: Extracting #0: cost 1 inf + 0 106.883 * * [simplify]: Extracting #1: cost 39 inf + 0 106.884 * * [simplify]: Extracting #2: cost 236 inf + 2 106.893 * * [simplify]: Extracting #3: cost 358 inf + 187 106.898 * * [simplify]: Extracting #4: cost 327 inf + 7884 106.913 * * [simplify]: Extracting #5: cost 146 inf + 49372 106.940 * * [simplify]: Extracting #6: cost 6 inf + 90853 106.958 * * [simplify]: Extracting #7: cost 0 inf + 93400 106.988 * * [simplify]: Extracting #8: cost 0 inf + 93399 107.027 * [simplify]: Simplified to (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2)))))) 107.027 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2))))))) (sqrt k))) 107.027 * * * * [progress]: [ 206 / 295 ] simplifiying candidate # 107.028 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 107.028 * * [simplify]: iters left: 6 (20 enodes) 107.039 * * [simplify]: iters left: 5 (89 enodes) 107.061 * * [simplify]: iters left: 4 (189 enodes) 107.118 * * [simplify]: Extracting #0: cost 1 inf + 0 107.118 * * [simplify]: Extracting #1: cost 20 inf + 0 107.118 * * [simplify]: Extracting #2: cost 95 inf + 2 107.118 * * [simplify]: Extracting #3: cost 167 inf + 74 107.119 * * [simplify]: Extracting #4: cost 149 inf + 1787 107.122 * * [simplify]: Extracting #5: cost 64 inf + 20002 107.134 * * [simplify]: Extracting #6: cost 3 inf + 40833 107.151 * * [simplify]: Extracting #7: cost 0 inf + 41588 107.167 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4)) 107.167 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4))) (sqrt k))) 107.168 * * * * [progress]: [ 207 / 295 ] simplifiying candidate # 107.168 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 107.168 * * [simplify]: iters left: 6 (17 enodes) 107.178 * * [simplify]: iters left: 5 (82 enodes) 107.195 * * [simplify]: iters left: 4 (165 enodes) 107.250 * * [simplify]: iters left: 3 (418 enodes) 107.447 * * [simplify]: Extracting #0: cost 1 inf + 0 107.448 * * [simplify]: Extracting #1: cost 44 inf + 0 107.448 * * [simplify]: Extracting #2: cost 227 inf + 2 107.449 * * [simplify]: Extracting #3: cost 313 inf + 1087 107.452 * * [simplify]: Extracting #4: cost 270 inf + 9224 107.458 * * [simplify]: Extracting #5: cost 166 inf + 36474 107.480 * * [simplify]: Extracting #6: cost 16 inf + 84676 107.513 * * [simplify]: Extracting #7: cost 0 inf + 89866 107.541 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 107.541 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 107.541 * * * * [progress]: [ 208 / 295 ] simplifiying candidate # 107.541 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 107.542 * * [simplify]: iters left: 6 (18 enodes) 107.551 * * [simplify]: iters left: 5 (88 enodes) 107.567 * * [simplify]: iters left: 4 (179 enodes) 107.623 * * [simplify]: iters left: 3 (411 enodes) 107.761 * * [simplify]: Extracting #0: cost 1 inf + 0 107.762 * * [simplify]: Extracting #1: cost 41 inf + 0 107.762 * * [simplify]: Extracting #2: cost 207 inf + 2 107.763 * * [simplify]: Extracting #3: cost 296 inf + 1279 107.766 * * [simplify]: Extracting #4: cost 231 inf + 15544 107.778 * * [simplify]: Extracting #5: cost 36 inf + 67362 107.811 * * [simplify]: Extracting #6: cost 0 inf + 78063 107.829 * * [simplify]: Extracting #7: cost 0 inf + 77363 107.848 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 107.848 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 107.848 * * * * [progress]: [ 209 / 295 ] simplifiying candidate # 107.848 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 107.848 * * [simplify]: iters left: 6 (18 enodes) 107.859 * * [simplify]: iters left: 5 (88 enodes) 107.890 * * [simplify]: iters left: 4 (179 enodes) 107.959 * * [simplify]: iters left: 3 (411 enodes) 108.113 * * [simplify]: Extracting #0: cost 1 inf + 0 108.113 * * [simplify]: Extracting #1: cost 41 inf + 0 108.114 * * [simplify]: Extracting #2: cost 207 inf + 2 108.121 * * [simplify]: Extracting #3: cost 296 inf + 1279 108.127 * * [simplify]: Extracting #4: cost 231 inf + 15544 108.152 * * [simplify]: Extracting #5: cost 36 inf + 67362 108.184 * * [simplify]: Extracting #6: cost 0 inf + 78063 108.217 * * [simplify]: Extracting #7: cost 0 inf + 77363 108.233 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 108.233 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 108.233 * * * * [progress]: [ 210 / 295 ] simplifiying candidate # 108.233 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 108.233 * * [simplify]: iters left: 6 (18 enodes) 108.239 * * [simplify]: iters left: 5 (87 enodes) 108.267 * * [simplify]: iters left: 4 (178 enodes) 108.323 * * [simplify]: iters left: 3 (429 enodes) 108.470 * * [simplify]: Extracting #0: cost 1 inf + 0 108.470 * * [simplify]: Extracting #1: cost 39 inf + 0 108.471 * * [simplify]: Extracting #2: cost 236 inf + 2 108.472 * * [simplify]: Extracting #3: cost 358 inf + 187 108.474 * * [simplify]: Extracting #4: cost 327 inf + 7884 108.482 * * [simplify]: Extracting #5: cost 146 inf + 49372 108.499 * * [simplify]: Extracting #6: cost 6 inf + 90853 108.529 * * [simplify]: Extracting #7: cost 0 inf + 93400 108.570 * * [simplify]: Extracting #8: cost 0 inf + 93399 108.608 * [simplify]: Simplified to (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2)))))) 108.608 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2))))))) (sqrt k))) 108.608 * * * * [progress]: [ 211 / 295 ] simplifiying candidate # 108.609 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 108.609 * * [simplify]: iters left: 6 (20 enodes) 108.620 * * [simplify]: iters left: 5 (91 enodes) 108.636 * * [simplify]: iters left: 4 (164 enodes) 108.682 * * [simplify]: iters left: 3 (404 enodes) 108.885 * * [simplify]: Extracting #0: cost 1 inf + 0 108.885 * * [simplify]: Extracting #1: cost 39 inf + 0 108.885 * * [simplify]: Extracting #2: cost 221 inf + 2 108.886 * * [simplify]: Extracting #3: cost 303 inf + 301 108.889 * * [simplify]: Extracting #4: cost 263 inf + 12246 108.902 * * [simplify]: Extracting #5: cost 78 inf + 58065 108.918 * * [simplify]: Extracting #6: cost 4 inf + 85039 108.939 * * [simplify]: Extracting #7: cost 0 inf + 86613 108.970 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 108.970 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 108.971 * * * * [progress]: [ 212 / 295 ] simplifiying candidate # 108.971 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 108.971 * * [simplify]: iters left: 6 (18 enodes) 108.981 * * [simplify]: iters left: 5 (84 enodes) 109.013 * * [simplify]: iters left: 4 (166 enodes) 109.078 * * [simplify]: iters left: 3 (424 enodes) 109.262 * * [simplify]: Extracting #0: cost 1 inf + 0 109.262 * * [simplify]: Extracting #1: cost 39 inf + 0 109.263 * * [simplify]: Extracting #2: cost 234 inf + 2 109.265 * * [simplify]: Extracting #3: cost 342 inf + 189 109.271 * * [simplify]: Extracting #4: cost 283 inf + 18484 109.292 * * [simplify]: Extracting #5: cost 94 inf + 65233 109.329 * * [simplify]: Extracting #6: cost 0 inf + 99150 109.371 * * [simplify]: Extracting #7: cost 0 inf + 98750 109.401 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log (* PI 2)) (log n))) 109.401 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log (* PI 2)) (log n)))) (sqrt k))) 109.401 * * * * [progress]: [ 213 / 295 ] simplifiying candidate # 109.401 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 109.401 * * [simplify]: iters left: 6 (18 enodes) 109.407 * * [simplify]: iters left: 5 (85 enodes) 109.422 * * [simplify]: iters left: 4 (169 enodes) 109.473 * * [simplify]: iters left: 3 (396 enodes) 109.606 * * [simplify]: Extracting #0: cost 1 inf + 0 109.606 * * [simplify]: Extracting #1: cost 37 inf + 0 109.606 * * [simplify]: Extracting #2: cost 233 inf + 2 109.608 * * [simplify]: Extracting #3: cost 344 inf + 189 109.611 * * [simplify]: Extracting #4: cost 303 inf + 11436 109.625 * * [simplify]: Extracting #5: cost 113 inf + 54472 109.642 * * [simplify]: Extracting #6: cost 5 inf + 91164 109.672 * * [simplify]: Extracting #7: cost 0 inf + 93835 109.703 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 109.703 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 109.703 * * * * [progress]: [ 214 / 295 ] simplifiying candidate # 109.703 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 109.704 * * [simplify]: iters left: 6 (18 enodes) 109.709 * * [simplify]: iters left: 5 (85 enodes) 109.728 * * [simplify]: iters left: 4 (169 enodes) 109.765 * * [simplify]: iters left: 3 (396 enodes) 109.917 * * [simplify]: Extracting #0: cost 1 inf + 0 109.917 * * [simplify]: Extracting #1: cost 37 inf + 0 109.918 * * [simplify]: Extracting #2: cost 233 inf + 2 109.919 * * [simplify]: Extracting #3: cost 344 inf + 189 109.922 * * [simplify]: Extracting #4: cost 303 inf + 11436 109.941 * * [simplify]: Extracting #5: cost 113 inf + 54472 109.976 * * [simplify]: Extracting #6: cost 5 inf + 91164 110.014 * * [simplify]: Extracting #7: cost 0 inf + 93835 110.042 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 110.042 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 110.042 * * * * [progress]: [ 215 / 295 ] simplifiying candidate # 110.043 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 110.043 * * [simplify]: iters left: 6 (18 enodes) 110.048 * * [simplify]: iters left: 5 (85 enodes) 110.064 * * [simplify]: iters left: 4 (173 enodes) 110.115 * * [simplify]: iters left: 3 (425 enodes) 110.279 * * [simplify]: Extracting #0: cost 1 inf + 0 110.280 * * [simplify]: Extracting #1: cost 43 inf + 0 110.280 * * [simplify]: Extracting #2: cost 270 inf + 2 110.282 * * [simplify]: Extracting #3: cost 406 inf + 75 110.291 * * [simplify]: Extracting #4: cost 279 inf + 36151 110.319 * * [simplify]: Extracting #5: cost 52 inf + 99261 110.364 * * [simplify]: Extracting #6: cost 2 inf + 116512 110.401 * * [simplify]: Extracting #7: cost 0 inf + 117370 110.425 * * [simplify]: Extracting #8: cost 0 inf + 117331 110.448 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 110.448 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 110.449 * * * * [progress]: [ 216 / 295 ] simplifiying candidate # 110.449 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 110.449 * * [simplify]: iters left: 6 (17 enodes) 110.454 * * [simplify]: iters left: 5 (79 enodes) 110.467 * * [simplify]: iters left: 4 (157 enodes) 110.499 * * [simplify]: iters left: 3 (350 enodes) 110.679 * * [simplify]: Extracting #0: cost 1 inf + 0 110.679 * * [simplify]: Extracting #1: cost 30 inf + 0 110.680 * * [simplify]: Extracting #2: cost 173 inf + 0 110.681 * * [simplify]: Extracting #3: cost 291 inf + 74 110.683 * * [simplify]: Extracting #4: cost 306 inf + 11551 110.693 * * [simplify]: Extracting #5: cost 145 inf + 55717 110.734 * * [simplify]: Extracting #6: cost 20 inf + 121430 110.776 * * [simplify]: Extracting #7: cost 0 inf + 136649 110.820 * * [simplify]: Extracting #8: cost 0 inf + 136648 110.863 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 110.864 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 110.864 * * * * [progress]: [ 217 / 295 ] simplifiying candidate # 110.865 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 110.865 * * [simplify]: iters left: 6 (18 enodes) 110.876 * * [simplify]: iters left: 5 (84 enodes) 110.907 * * [simplify]: iters left: 4 (176 enodes) 110.989 * * [simplify]: Extracting #0: cost 1 inf + 0 110.989 * * [simplify]: Extracting #1: cost 20 inf + 0 110.989 * * [simplify]: Extracting #2: cost 93 inf + 2 110.990 * * [simplify]: Extracting #3: cost 165 inf + 74 110.992 * * [simplify]: Extracting #4: cost 137 inf + 3281 111.005 * * [simplify]: Extracting #5: cost 30 inf + 33740 111.021 * * [simplify]: Extracting #6: cost 0 inf + 45614 111.038 * [simplify]: Simplified to (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 111.038 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log PI) (log 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 111.038 * * * * [progress]: [ 218 / 295 ] simplifiying candidate # 111.039 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 111.039 * * [simplify]: iters left: 6 (20 enodes) 111.051 * * [simplify]: iters left: 5 (87 enodes) 111.075 * * [simplify]: iters left: 4 (182 enodes) 111.147 * * [simplify]: Extracting #0: cost 1 inf + 0 111.148 * * [simplify]: Extracting #1: cost 15 inf + 0 111.148 * * [simplify]: Extracting #2: cost 88 inf + 0 111.149 * * [simplify]: Extracting #3: cost 156 inf + 74 111.151 * * [simplify]: Extracting #4: cost 126 inf + 3817 111.160 * * [simplify]: Extracting #5: cost 14 inf + 33293 111.175 * * [simplify]: Extracting #6: cost 0 inf + 38070 111.190 * * [simplify]: Extracting #7: cost 0 inf + 37960 111.203 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (+ (log (* 2 PI)) (log n)) (+ (log (* 2 PI)) (log n)))) 111.203 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (+ (log (* 2 PI)) (log n)) (+ (log (* 2 PI)) (log n))))) (sqrt k))) 111.203 * * * * [progress]: [ 219 / 295 ] simplifiying candidate # 111.203 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 111.204 * * [simplify]: iters left: 6 (20 enodes) 111.209 * * [simplify]: iters left: 5 (93 enodes) 111.226 * * [simplify]: iters left: 4 (181 enodes) 111.272 * * [simplify]: iters left: 3 (447 enodes) 111.490 * * [simplify]: Extracting #0: cost 1 inf + 0 111.491 * * [simplify]: Extracting #1: cost 45 inf + 0 111.492 * * [simplify]: Extracting #2: cost 240 inf + 2 111.495 * * [simplify]: Extracting #3: cost 327 inf + 1575 111.501 * * [simplify]: Extracting #4: cost 268 inf + 14177 111.521 * * [simplify]: Extracting #5: cost 79 inf + 67510 111.562 * * [simplify]: Extracting #6: cost 2 inf + 90303 111.599 * * [simplify]: Extracting #7: cost 0 inf + 90544 111.637 * * [simplify]: Extracting #8: cost 0 inf + 90464 111.675 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n))))) 111.675 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))))) (sqrt k))) 111.675 * * * * [progress]: [ 220 / 295 ] simplifiying candidate # 111.675 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 111.676 * * [simplify]: iters left: 6 (20 enodes) 111.684 * * [simplify]: iters left: 5 (93 enodes) 111.703 * * [simplify]: iters left: 4 (181 enodes) 111.752 * * [simplify]: iters left: 3 (447 enodes) 111.912 * * [simplify]: Extracting #0: cost 1 inf + 0 111.912 * * [simplify]: Extracting #1: cost 45 inf + 0 111.913 * * [simplify]: Extracting #2: cost 240 inf + 2 111.915 * * [simplify]: Extracting #3: cost 327 inf + 1575 111.922 * * [simplify]: Extracting #4: cost 268 inf + 14177 111.938 * * [simplify]: Extracting #5: cost 79 inf + 67510 111.960 * * [simplify]: Extracting #6: cost 2 inf + 90303 111.992 * * [simplify]: Extracting #7: cost 0 inf + 90544 112.030 * * [simplify]: Extracting #8: cost 0 inf + 90464 112.064 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n))))) 112.064 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))) (* (- 1/4 (/ k 4)) (log (* PI (* 2 n)))))) (sqrt k))) 112.065 * * * * [progress]: [ 221 / 295 ] simplifiying candidate # 112.065 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 112.065 * * [simplify]: iters left: 6 (20 enodes) 112.071 * * [simplify]: iters left: 5 (91 enodes) 112.089 * * [simplify]: iters left: 4 (184 enodes) 112.150 * * [simplify]: iters left: 3 (442 enodes) 112.322 * * [simplify]: Extracting #0: cost 1 inf + 0 112.322 * * [simplify]: Extracting #1: cost 42 inf + 0 112.323 * * [simplify]: Extracting #2: cost 233 inf + 2 112.324 * * [simplify]: Extracting #3: cost 346 inf + 298 112.327 * * [simplify]: Extracting #4: cost 284 inf + 16013 112.336 * * [simplify]: Extracting #5: cost 119 inf + 53173 112.352 * * [simplify]: Extracting #6: cost 11 inf + 87005 112.373 * * [simplify]: Extracting #7: cost 0 inf + 92985 112.391 * [simplify]: Simplified to (+ (/ (* (- 1 k) (log (* PI (* 2 n)))) 4) (/ (* (- 1 k) (log (* PI (* 2 n)))) 4)) 112.391 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (* (- 1 k) (log (* PI (* 2 n)))) 4) (/ (* (- 1 k) (log (* PI (* 2 n)))) 4))) (sqrt k))) 112.391 * * * * [progress]: [ 222 / 295 ] simplifiying candidate # 112.391 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 112.391 * * [simplify]: iters left: 6 (20 enodes) 112.397 * * [simplify]: iters left: 5 (89 enodes) 112.420 * * [simplify]: iters left: 4 (189 enodes) 112.503 * * [simplify]: Extracting #0: cost 1 inf + 0 112.503 * * [simplify]: Extracting #1: cost 20 inf + 0 112.503 * * [simplify]: Extracting #2: cost 95 inf + 2 112.504 * * [simplify]: Extracting #3: cost 167 inf + 74 112.505 * * [simplify]: Extracting #4: cost 149 inf + 1787 112.507 * * [simplify]: Extracting #5: cost 64 inf + 20002 112.515 * * [simplify]: Extracting #6: cost 3 inf + 40833 112.529 * * [simplify]: Extracting #7: cost 0 inf + 41588 112.546 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4)) 112.546 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4))) (sqrt k))) 112.546 * * * * [progress]: [ 223 / 295 ] simplifiying candidate # 112.546 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 112.547 * * [simplify]: iters left: 6 (17 enodes) 112.557 * * [simplify]: iters left: 5 (82 enodes) 112.586 * * [simplify]: iters left: 4 (165 enodes) 112.649 * * [simplify]: iters left: 3 (418 enodes) 112.800 * * [simplify]: Extracting #0: cost 1 inf + 0 112.800 * * [simplify]: Extracting #1: cost 44 inf + 0 112.802 * * [simplify]: Extracting #2: cost 227 inf + 2 112.804 * * [simplify]: Extracting #3: cost 313 inf + 1087 112.808 * * [simplify]: Extracting #4: cost 270 inf + 9224 112.821 * * [simplify]: Extracting #5: cost 166 inf + 36474 112.855 * * [simplify]: Extracting #6: cost 16 inf + 84676 112.892 * * [simplify]: Extracting #7: cost 0 inf + 89866 112.910 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 112.910 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 112.910 * * * * [progress]: [ 224 / 295 ] simplifiying candidate # 112.910 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 112.910 * * [simplify]: iters left: 6 (18 enodes) 112.916 * * [simplify]: iters left: 5 (88 enodes) 112.932 * * [simplify]: iters left: 4 (179 enodes) 112.982 * * [simplify]: iters left: 3 (411 enodes) 113.150 * * [simplify]: Extracting #0: cost 1 inf + 0 113.150 * * [simplify]: Extracting #1: cost 41 inf + 0 113.151 * * [simplify]: Extracting #2: cost 207 inf + 2 113.152 * * [simplify]: Extracting #3: cost 296 inf + 1279 113.155 * * [simplify]: Extracting #4: cost 231 inf + 15544 113.167 * * [simplify]: Extracting #5: cost 36 inf + 67362 113.195 * * [simplify]: Extracting #6: cost 0 inf + 78063 113.228 * * [simplify]: Extracting #7: cost 0 inf + 77363 113.260 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 113.260 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 113.260 * * * * [progress]: [ 225 / 295 ] simplifiying candidate # 113.261 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 113.261 * * [simplify]: iters left: 6 (18 enodes) 113.272 * * [simplify]: iters left: 5 (88 enodes) 113.302 * * [simplify]: iters left: 4 (179 enodes) 113.372 * * [simplify]: iters left: 3 (411 enodes) 113.538 * * [simplify]: Extracting #0: cost 1 inf + 0 113.538 * * [simplify]: Extracting #1: cost 41 inf + 0 113.538 * * [simplify]: Extracting #2: cost 207 inf + 2 113.539 * * [simplify]: Extracting #3: cost 296 inf + 1279 113.542 * * [simplify]: Extracting #4: cost 231 inf + 15544 113.560 * * [simplify]: Extracting #5: cost 36 inf + 67362 113.592 * * [simplify]: Extracting #6: cost 0 inf + 78063 113.613 * * [simplify]: Extracting #7: cost 0 inf + 77363 113.629 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 113.630 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 113.630 * * * * [progress]: [ 226 / 295 ] simplifiying candidate # 113.630 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 113.630 * * [simplify]: iters left: 6 (18 enodes) 113.638 * * [simplify]: iters left: 5 (87 enodes) 113.661 * * [simplify]: iters left: 4 (178 enodes) 113.710 * * [simplify]: iters left: 3 (429 enodes) 113.890 * * [simplify]: Extracting #0: cost 1 inf + 0 113.890 * * [simplify]: Extracting #1: cost 39 inf + 0 113.891 * * [simplify]: Extracting #2: cost 236 inf + 2 113.892 * * [simplify]: Extracting #3: cost 358 inf + 187 113.894 * * [simplify]: Extracting #4: cost 327 inf + 7884 113.902 * * [simplify]: Extracting #5: cost 146 inf + 49372 113.932 * * [simplify]: Extracting #6: cost 6 inf + 90853 113.965 * * [simplify]: Extracting #7: cost 0 inf + 93400 113.983 * * [simplify]: Extracting #8: cost 0 inf + 93399 114.018 * [simplify]: Simplified to (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2)))))) 114.018 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2))))))) (sqrt k))) 114.018 * * * * [progress]: [ 227 / 295 ] simplifiying candidate # 114.018 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 114.018 * * [simplify]: iters left: 6 (20 enodes) 114.024 * * [simplify]: iters left: 5 (89 enodes) 114.041 * * [simplify]: iters left: 4 (189 enodes) 114.103 * * [simplify]: Extracting #0: cost 1 inf + 0 114.103 * * [simplify]: Extracting #1: cost 20 inf + 0 114.103 * * [simplify]: Extracting #2: cost 95 inf + 2 114.104 * * [simplify]: Extracting #3: cost 167 inf + 74 114.105 * * [simplify]: Extracting #4: cost 149 inf + 1787 114.108 * * [simplify]: Extracting #5: cost 64 inf + 20002 114.115 * * [simplify]: Extracting #6: cost 3 inf + 40833 114.123 * * [simplify]: Extracting #7: cost 0 inf + 41588 114.134 * [simplify]: Simplified to (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4)) 114.134 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log (* PI 2)) (log n)) (+ (log (* PI 2)) (log n))) (/ (- 1 k) 4))) (sqrt k))) 114.134 * * * * [progress]: [ 228 / 295 ] simplifiying candidate # 114.134 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 114.134 * * [simplify]: iters left: 6 (17 enodes) 114.139 * * [simplify]: iters left: 5 (82 enodes) 114.162 * * [simplify]: iters left: 4 (165 enodes) 114.199 * * [simplify]: iters left: 3 (418 enodes) 114.403 * * [simplify]: Extracting #0: cost 1 inf + 0 114.403 * * [simplify]: Extracting #1: cost 44 inf + 0 114.404 * * [simplify]: Extracting #2: cost 227 inf + 2 114.406 * * [simplify]: Extracting #3: cost 313 inf + 1087 114.411 * * [simplify]: Extracting #4: cost 270 inf + 9224 114.422 * * [simplify]: Extracting #5: cost 166 inf + 36474 114.454 * * [simplify]: Extracting #6: cost 16 inf + 84676 114.473 * * [simplify]: Extracting #7: cost 0 inf + 89866 114.509 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 114.509 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 114.509 * * * * [progress]: [ 229 / 295 ] simplifiying candidate # 114.509 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 114.510 * * [simplify]: iters left: 6 (18 enodes) 114.515 * * [simplify]: iters left: 5 (88 enodes) 114.531 * * [simplify]: iters left: 4 (179 enodes) 114.591 * * [simplify]: iters left: 3 (411 enodes) 114.777 * * [simplify]: Extracting #0: cost 1 inf + 0 114.777 * * [simplify]: Extracting #1: cost 41 inf + 0 114.778 * * [simplify]: Extracting #2: cost 207 inf + 2 114.779 * * [simplify]: Extracting #3: cost 296 inf + 1279 114.782 * * [simplify]: Extracting #4: cost 231 inf + 15544 114.794 * * [simplify]: Extracting #5: cost 36 inf + 67362 114.811 * * [simplify]: Extracting #6: cost 0 inf + 78063 114.834 * * [simplify]: Extracting #7: cost 0 inf + 77363 114.856 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 114.856 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 114.856 * * * * [progress]: [ 230 / 295 ] simplifiying candidate # 114.856 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 114.857 * * [simplify]: iters left: 6 (18 enodes) 114.871 * * [simplify]: iters left: 5 (88 enodes) 114.898 * * [simplify]: iters left: 4 (179 enodes) 114.942 * * [simplify]: iters left: 3 (411 enodes) 115.118 * * [simplify]: Extracting #0: cost 1 inf + 0 115.118 * * [simplify]: Extracting #1: cost 41 inf + 0 115.118 * * [simplify]: Extracting #2: cost 207 inf + 2 115.120 * * [simplify]: Extracting #3: cost 296 inf + 1279 115.124 * * [simplify]: Extracting #4: cost 231 inf + 15544 115.149 * * [simplify]: Extracting #5: cost 36 inf + 67362 115.175 * * [simplify]: Extracting #6: cost 0 inf + 78063 115.194 * * [simplify]: Extracting #7: cost 0 inf + 77363 115.210 * [simplify]: Simplified to (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4))) 115.210 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n (* PI 2))) (/ (- 1 k) 4)) (* (log (* n (* PI 2))) (/ (- 1 k) 4)))) (sqrt k))) 115.210 * * * * [progress]: [ 231 / 295 ] simplifiying candidate # 115.210 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 115.210 * * [simplify]: iters left: 6 (18 enodes) 115.216 * * [simplify]: iters left: 5 (87 enodes) 115.245 * * [simplify]: iters left: 4 (178 enodes) 115.292 * * [simplify]: iters left: 3 (429 enodes) 115.421 * * [simplify]: Extracting #0: cost 1 inf + 0 115.421 * * [simplify]: Extracting #1: cost 39 inf + 0 115.422 * * [simplify]: Extracting #2: cost 236 inf + 2 115.423 * * [simplify]: Extracting #3: cost 358 inf + 187 115.425 * * [simplify]: Extracting #4: cost 327 inf + 7884 115.434 * * [simplify]: Extracting #5: cost 146 inf + 49372 115.455 * * [simplify]: Extracting #6: cost 6 inf + 90853 115.488 * * [simplify]: Extracting #7: cost 0 inf + 93400 115.507 * * [simplify]: Extracting #8: cost 0 inf + 93399 115.525 * [simplify]: Simplified to (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2)))))) 115.525 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (- 1 k) (/ 4 (log (* n (* PI 2))))) (/ (- 1 k) (/ 4 (log (* n (* PI 2))))))) (sqrt k))) 115.525 * * * * [progress]: [ 232 / 295 ] simplifiying candidate # 115.525 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 115.525 * * [simplify]: iters left: 6 (20 enodes) 115.532 * * [simplify]: iters left: 5 (91 enodes) 115.549 * * [simplify]: iters left: 4 (164 enodes) 115.582 * * [simplify]: iters left: 3 (404 enodes) 115.740 * * [simplify]: Extracting #0: cost 1 inf + 0 115.741 * * [simplify]: Extracting #1: cost 39 inf + 0 115.741 * * [simplify]: Extracting #2: cost 221 inf + 2 115.742 * * [simplify]: Extracting #3: cost 303 inf + 301 115.745 * * [simplify]: Extracting #4: cost 263 inf + 12246 115.755 * * [simplify]: Extracting #5: cost 78 inf + 58065 115.776 * * [simplify]: Extracting #6: cost 4 inf + 85039 115.808 * * [simplify]: Extracting #7: cost 0 inf + 86613 115.844 * [simplify]: Simplified to (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 115.844 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 115.844 * * * * [progress]: [ 233 / 295 ] simplifiying candidate # 115.844 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 115.845 * * [simplify]: iters left: 6 (18 enodes) 115.855 * * [simplify]: iters left: 5 (84 enodes) 115.884 * * [simplify]: iters left: 4 (166 enodes) 115.950 * * [simplify]: iters left: 3 (424 enodes) 116.131 * * [simplify]: Extracting #0: cost 1 inf + 0 116.131 * * [simplify]: Extracting #1: cost 39 inf + 0 116.132 * * [simplify]: Extracting #2: cost 234 inf + 2 116.135 * * [simplify]: Extracting #3: cost 342 inf + 189 116.141 * * [simplify]: Extracting #4: cost 283 inf + 18484 116.168 * * [simplify]: Extracting #5: cost 94 inf + 65233 116.205 * * [simplify]: Extracting #6: cost 0 inf + 99150 116.232 * * [simplify]: Extracting #7: cost 0 inf + 98750 116.260 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log (* PI 2)) (log n))) 116.261 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log (* PI 2)) (log n)))) (sqrt k))) 116.261 * * * * [progress]: [ 234 / 295 ] simplifiying candidate # 116.261 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 116.261 * * [simplify]: iters left: 6 (18 enodes) 116.269 * * [simplify]: iters left: 5 (85 enodes) 116.286 * * [simplify]: iters left: 4 (169 enodes) 116.335 * * [simplify]: iters left: 3 (396 enodes) 116.534 * * [simplify]: Extracting #0: cost 1 inf + 0 116.534 * * [simplify]: Extracting #1: cost 37 inf + 0 116.535 * * [simplify]: Extracting #2: cost 233 inf + 2 116.537 * * [simplify]: Extracting #3: cost 344 inf + 189 116.543 * * [simplify]: Extracting #4: cost 303 inf + 11436 116.563 * * [simplify]: Extracting #5: cost 113 inf + 54472 116.598 * * [simplify]: Extracting #6: cost 5 inf + 91164 116.635 * * [simplify]: Extracting #7: cost 0 inf + 93835 116.675 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 116.675 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 116.676 * * * * [progress]: [ 235 / 295 ] simplifiying candidate # 116.676 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 116.676 * * [simplify]: iters left: 6 (18 enodes) 116.686 * * [simplify]: iters left: 5 (85 enodes) 116.715 * * [simplify]: iters left: 4 (169 enodes) 116.780 * * [simplify]: iters left: 3 (396 enodes) 116.972 * * [simplify]: Extracting #0: cost 1 inf + 0 116.972 * * [simplify]: Extracting #1: cost 37 inf + 0 116.973 * * [simplify]: Extracting #2: cost 233 inf + 2 116.974 * * [simplify]: Extracting #3: cost 344 inf + 189 116.976 * * [simplify]: Extracting #4: cost 303 inf + 11436 116.987 * * [simplify]: Extracting #5: cost 113 inf + 54472 117.020 * * [simplify]: Extracting #6: cost 5 inf + 91164 117.039 * * [simplify]: Extracting #7: cost 0 inf + 93835 117.074 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 117.075 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 117.075 * * * * [progress]: [ 236 / 295 ] simplifiying candidate # 117.075 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 117.075 * * [simplify]: iters left: 6 (18 enodes) 117.081 * * [simplify]: iters left: 5 (85 enodes) 117.097 * * [simplify]: iters left: 4 (173 enodes) 117.140 * * [simplify]: iters left: 3 (425 enodes) 117.319 * * [simplify]: Extracting #0: cost 1 inf + 0 117.320 * * [simplify]: Extracting #1: cost 43 inf + 0 117.320 * * [simplify]: Extracting #2: cost 270 inf + 2 117.322 * * [simplify]: Extracting #3: cost 406 inf + 75 117.328 * * [simplify]: Extracting #4: cost 279 inf + 36151 117.353 * * [simplify]: Extracting #5: cost 52 inf + 99261 117.400 * * [simplify]: Extracting #6: cost 2 inf + 116512 117.441 * * [simplify]: Extracting #7: cost 0 inf + 117370 117.463 * * [simplify]: Extracting #8: cost 0 inf + 117331 117.495 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2)))) 117.496 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* n (* PI 2))))) (sqrt k))) 117.496 * * * * [progress]: [ 237 / 295 ] simplifiying candidate # 117.496 * [simplify]: Simplifying (+ (* (log n) (/ (/ (- 1 k) 2) 2)) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 117.496 * * [simplify]: iters left: 6 (17 enodes) 117.501 * * [simplify]: iters left: 5 (79 enodes) 117.517 * * [simplify]: iters left: 4 (157 enodes) 117.563 * * [simplify]: iters left: 3 (350 enodes) 117.739 * * [simplify]: Extracting #0: cost 1 inf + 0 117.739 * * [simplify]: Extracting #1: cost 30 inf + 0 117.740 * * [simplify]: Extracting #2: cost 173 inf + 0 117.741 * * [simplify]: Extracting #3: cost 291 inf + 74 117.745 * * [simplify]: Extracting #4: cost 306 inf + 11551 117.761 * * [simplify]: Extracting #5: cost 145 inf + 55717 117.798 * * [simplify]: Extracting #6: cost 20 inf + 121430 117.821 * * [simplify]: Extracting #7: cost 0 inf + 136649 117.859 * * [simplify]: Extracting #8: cost 0 inf + 136648 117.902 * [simplify]: Simplified to (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 117.902 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* PI 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 117.902 * * * * [progress]: [ 238 / 295 ] simplifiying candidate # 117.902 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 117.903 * * [simplify]: iters left: 6 (19 enodes) 117.914 * * [simplify]: iters left: 5 (88 enodes) 117.936 * * [simplify]: iters left: 4 (189 enodes) 118.013 * * [simplify]: Extracting #0: cost 1 inf + 0 118.013 * * [simplify]: Extracting #1: cost 22 inf + 0 118.014 * * [simplify]: Extracting #2: cost 105 inf + 2 118.015 * * [simplify]: Extracting #3: cost 186 inf + 74 118.019 * * [simplify]: Extracting #4: cost 128 inf + 13190 118.033 * * [simplify]: Extracting #5: cost 23 inf + 44938 118.044 * * [simplify]: Extracting #6: cost 1 inf + 52970 118.054 * * [simplify]: Extracting #7: cost 0 inf + 53345 118.064 * [simplify]: Simplified to (* (+ (log n) (+ (log PI) (log 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 118.064 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (+ (log PI) (log 2))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 118.064 * * * * [progress]: [ 239 / 295 ] simplifiying candidate # 118.064 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 118.064 * * [simplify]: iters left: 6 (21 enodes) 118.073 * * [simplify]: iters left: 5 (91 enodes) 118.100 * * [simplify]: iters left: 4 (195 enodes) 118.191 * * [simplify]: Extracting #0: cost 1 inf + 0 118.191 * * [simplify]: Extracting #1: cost 21 inf + 0 118.191 * * [simplify]: Extracting #2: cost 102 inf + 2 118.192 * * [simplify]: Extracting #3: cost 184 inf + 74 118.198 * * [simplify]: Extracting #4: cost 149 inf + 4922 118.208 * * [simplify]: Extracting #5: cost 50 inf + 29815 118.223 * * [simplify]: Extracting #6: cost 0 inf + 47095 118.238 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 118.238 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))))) (sqrt k))) 118.238 * * * * [progress]: [ 240 / 295 ] simplifiying candidate # 118.239 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 118.239 * * [simplify]: iters left: 6 (20 enodes) 118.250 * * [simplify]: iters left: 5 (95 enodes) 118.283 * * [simplify]: iters left: 4 (195 enodes) 118.370 * * [simplify]: Extracting #0: cost 1 inf + 0 118.370 * * [simplify]: Extracting #1: cost 21 inf + 0 118.370 * * [simplify]: Extracting #2: cost 101 inf + 2 118.371 * * [simplify]: Extracting #3: cost 173 inf + 74 118.374 * * [simplify]: Extracting #4: cost 136 inf + 6271 118.383 * * [simplify]: Extracting #5: cost 41 inf + 30666 118.397 * * [simplify]: Extracting #6: cost 1 inf + 41763 118.405 * * [simplify]: Extracting #7: cost 0 inf + 40875 118.412 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) 118.412 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))))) (sqrt k))) 118.412 * * * * [progress]: [ 241 / 295 ] simplifiying candidate # 118.412 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 118.413 * * [simplify]: iters left: 6 (20 enodes) 118.419 * * [simplify]: iters left: 5 (95 enodes) 118.440 * * [simplify]: iters left: 4 (195 enodes) 118.506 * * [simplify]: Extracting #0: cost 1 inf + 0 118.506 * * [simplify]: Extracting #1: cost 21 inf + 0 118.507 * * [simplify]: Extracting #2: cost 101 inf + 2 118.507 * * [simplify]: Extracting #3: cost 173 inf + 74 118.508 * * [simplify]: Extracting #4: cost 136 inf + 6271 118.512 * * [simplify]: Extracting #5: cost 41 inf + 30666 118.523 * * [simplify]: Extracting #6: cost 1 inf + 41763 118.539 * * [simplify]: Extracting #7: cost 0 inf + 40875 118.554 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) 118.554 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))))) (sqrt k))) 118.554 * * * * [progress]: [ 242 / 295 ] simplifiying candidate # 118.555 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 118.555 * * [simplify]: iters left: 6 (20 enodes) 118.566 * * [simplify]: iters left: 5 (92 enodes) 118.598 * * [simplify]: iters left: 4 (189 enodes) 118.659 * * [simplify]: iters left: 3 (471 enodes) 118.854 * * [simplify]: Extracting #0: cost 1 inf + 0 118.854 * * [simplify]: Extracting #1: cost 52 inf + 0 118.855 * * [simplify]: Extracting #2: cost 293 inf + 2 118.858 * * [simplify]: Extracting #3: cost 424 inf + 75 118.865 * * [simplify]: Extracting #4: cost 330 inf + 18829 118.891 * * [simplify]: Extracting #5: cost 102 inf + 87247 118.937 * * [simplify]: Extracting #6: cost 11 inf + 119313 118.985 * * [simplify]: Extracting #7: cost 0 inf + 124712 119.023 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI))))) 4) 119.023 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI))))) 4)) (sqrt k))) 119.023 * * * * [progress]: [ 243 / 295 ] simplifiying candidate # 119.023 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 119.023 * * [simplify]: iters left: 6 (21 enodes) 119.029 * * [simplify]: iters left: 5 (93 enodes) 119.052 * * [simplify]: iters left: 4 (201 enodes) 119.122 * * [simplify]: Extracting #0: cost 1 inf + 0 119.122 * * [simplify]: Extracting #1: cost 18 inf + 0 119.122 * * [simplify]: Extracting #2: cost 105 inf + 0 119.122 * * [simplify]: Extracting #3: cost 189 inf + 3 119.126 * * [simplify]: Extracting #4: cost 151 inf + 7148 119.132 * * [simplify]: Extracting #5: cost 43 inf + 33217 119.140 * * [simplify]: Extracting #6: cost 2 inf + 47799 119.154 * * [simplify]: Extracting #7: cost 0 inf + 48799 119.172 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 119.172 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))) (sqrt k))) 119.172 * * * * [progress]: [ 244 / 295 ] simplifiying candidate # 119.173 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 119.173 * * [simplify]: iters left: 6 (18 enodes) 119.184 * * [simplify]: iters left: 5 (86 enodes) 119.214 * * [simplify]: iters left: 4 (181 enodes) 119.293 * * [simplify]: iters left: 3 (490 enodes) 119.526 * * [simplify]: Extracting #0: cost 1 inf + 0 119.527 * * [simplify]: Extracting #1: cost 50 inf + 0 119.528 * * [simplify]: Extracting #2: cost 283 inf + 2 119.531 * * [simplify]: Extracting #3: cost 399 inf + 934 119.543 * * [simplify]: Extracting #4: cost 265 inf + 35110 119.590 * * [simplify]: Extracting #5: cost 23 inf + 111667 119.639 * * [simplify]: Extracting #6: cost 1 inf + 118864 119.668 * * [simplify]: Extracting #7: cost 0 inf + 119240 119.704 * [simplify]: Simplified to (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 119.704 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 119.704 * * * * [progress]: [ 245 / 295 ] simplifiying candidate # 119.704 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 119.704 * * [simplify]: iters left: 6 (18 enodes) 119.710 * * [simplify]: iters left: 5 (90 enodes) 119.727 * * [simplify]: iters left: 4 (194 enodes) 119.786 * * [simplify]: iters left: 3 (481 enodes) 119.981 * * [simplify]: Extracting #0: cost 1 inf + 0 119.981 * * [simplify]: Extracting #1: cost 49 inf + 0 119.983 * * [simplify]: Extracting #2: cost 264 inf + 2 119.986 * * [simplify]: Extracting #3: cost 386 inf + 1333 119.996 * * [simplify]: Extracting #4: cost 262 inf + 29328 120.032 * * [simplify]: Extracting #5: cost 39 inf + 94437 120.075 * * [simplify]: Extracting #6: cost 4 inf + 105273 120.119 * * [simplify]: Extracting #7: cost 0 inf + 107506 120.157 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 120.157 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 120.157 * * * * [progress]: [ 246 / 295 ] simplifiying candidate # 120.157 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 120.157 * * [simplify]: iters left: 6 (18 enodes) 120.163 * * [simplify]: iters left: 5 (90 enodes) 120.179 * * [simplify]: iters left: 4 (194 enodes) 120.253 * * [simplify]: iters left: 3 (481 enodes) 120.441 * * [simplify]: Extracting #0: cost 1 inf + 0 120.441 * * [simplify]: Extracting #1: cost 49 inf + 0 120.442 * * [simplify]: Extracting #2: cost 264 inf + 2 120.445 * * [simplify]: Extracting #3: cost 386 inf + 1333 120.451 * * [simplify]: Extracting #4: cost 262 inf + 29328 120.468 * * [simplify]: Extracting #5: cost 39 inf + 94437 120.505 * * [simplify]: Extracting #6: cost 4 inf + 105273 120.542 * * [simplify]: Extracting #7: cost 0 inf + 107506 120.564 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 120.564 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 120.564 * * * * [progress]: [ 247 / 295 ] simplifiying candidate # 120.565 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 120.565 * * [simplify]: iters left: 6 (18 enodes) 120.575 * * [simplify]: iters left: 5 (88 enodes) 120.596 * * [simplify]: iters left: 4 (180 enodes) 120.648 * * [simplify]: iters left: 3 (453 enodes) 120.844 * * [simplify]: Extracting #0: cost 1 inf + 0 120.845 * * [simplify]: Extracting #1: cost 47 inf + 0 120.846 * * [simplify]: Extracting #2: cost 279 inf + 2 120.849 * * [simplify]: Extracting #3: cost 415 inf + 74 120.858 * * [simplify]: Extracting #4: cost 295 inf + 30495 120.877 * * [simplify]: Extracting #5: cost 33 inf + 114803 120.901 * * [simplify]: Extracting #6: cost 0 inf + 121459 120.946 * * [simplify]: Extracting #7: cost 0 inf + 120717 120.977 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI))))) 120.977 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI)))))) (sqrt k))) 120.977 * * * * [progress]: [ 248 / 295 ] simplifiying candidate # 120.978 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 120.978 * * [simplify]: iters left: 6 (21 enodes) 120.984 * * [simplify]: iters left: 5 (93 enodes) 121.006 * * [simplify]: iters left: 4 (201 enodes) 121.096 * * [simplify]: Extracting #0: cost 1 inf + 0 121.097 * * [simplify]: Extracting #1: cost 18 inf + 0 121.097 * * [simplify]: Extracting #2: cost 105 inf + 0 121.097 * * [simplify]: Extracting #3: cost 189 inf + 3 121.099 * * [simplify]: Extracting #4: cost 151 inf + 7148 121.104 * * [simplify]: Extracting #5: cost 43 inf + 33217 121.113 * * [simplify]: Extracting #6: cost 2 inf + 47799 121.122 * * [simplify]: Extracting #7: cost 0 inf + 48799 121.131 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 121.131 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))) (sqrt k))) 121.131 * * * * [progress]: [ 249 / 295 ] simplifiying candidate # 121.132 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 121.132 * * [simplify]: iters left: 6 (18 enodes) 121.137 * * [simplify]: iters left: 5 (86 enodes) 121.169 * * [simplify]: iters left: 4 (181 enodes) 121.241 * * [simplify]: iters left: 3 (490 enodes) 121.516 * * [simplify]: Extracting #0: cost 1 inf + 0 121.516 * * [simplify]: Extracting #1: cost 50 inf + 0 121.517 * * [simplify]: Extracting #2: cost 283 inf + 2 121.519 * * [simplify]: Extracting #3: cost 399 inf + 934 121.525 * * [simplify]: Extracting #4: cost 265 inf + 35110 121.545 * * [simplify]: Extracting #5: cost 23 inf + 111667 121.569 * * [simplify]: Extracting #6: cost 1 inf + 118864 121.609 * * [simplify]: Extracting #7: cost 0 inf + 119240 121.641 * [simplify]: Simplified to (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 121.641 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 121.641 * * * * [progress]: [ 250 / 295 ] simplifiying candidate # 121.642 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 121.642 * * [simplify]: iters left: 6 (18 enodes) 121.648 * * [simplify]: iters left: 5 (90 enodes) 121.667 * * [simplify]: iters left: 4 (194 enodes) 121.734 * * [simplify]: iters left: 3 (481 enodes) 121.909 * * [simplify]: Extracting #0: cost 1 inf + 0 121.909 * * [simplify]: Extracting #1: cost 49 inf + 0 121.910 * * [simplify]: Extracting #2: cost 264 inf + 2 121.911 * * [simplify]: Extracting #3: cost 386 inf + 1333 121.916 * * [simplify]: Extracting #4: cost 262 inf + 29328 121.934 * * [simplify]: Extracting #5: cost 39 inf + 94437 121.982 * * [simplify]: Extracting #6: cost 4 inf + 105273 122.025 * * [simplify]: Extracting #7: cost 0 inf + 107506 122.068 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 122.068 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 122.068 * * * * [progress]: [ 251 / 295 ] simplifiying candidate # 122.069 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 122.069 * * [simplify]: iters left: 6 (18 enodes) 122.079 * * [simplify]: iters left: 5 (90 enodes) 122.107 * * [simplify]: iters left: 4 (194 enodes) 122.164 * * [simplify]: iters left: 3 (481 enodes) 122.362 * * [simplify]: Extracting #0: cost 1 inf + 0 122.362 * * [simplify]: Extracting #1: cost 49 inf + 0 122.363 * * [simplify]: Extracting #2: cost 264 inf + 2 122.365 * * [simplify]: Extracting #3: cost 386 inf + 1333 122.370 * * [simplify]: Extracting #4: cost 262 inf + 29328 122.398 * * [simplify]: Extracting #5: cost 39 inf + 94437 122.439 * * [simplify]: Extracting #6: cost 4 inf + 105273 122.461 * * [simplify]: Extracting #7: cost 0 inf + 107506 122.483 * [simplify]: Simplified to (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) 122.483 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) (sqrt k))) 122.483 * * * * [progress]: [ 252 / 295 ] simplifiying candidate # 122.483 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 122.483 * * [simplify]: iters left: 6 (18 enodes) 122.491 * * [simplify]: iters left: 5 (88 enodes) 122.521 * * [simplify]: iters left: 4 (180 enodes) 122.565 * * [simplify]: iters left: 3 (453 enodes) 122.731 * * [simplify]: Extracting #0: cost 1 inf + 0 122.731 * * [simplify]: Extracting #1: cost 47 inf + 0 122.731 * * [simplify]: Extracting #2: cost 279 inf + 2 122.733 * * [simplify]: Extracting #3: cost 415 inf + 74 122.738 * * [simplify]: Extracting #4: cost 295 inf + 30495 122.766 * * [simplify]: Extracting #5: cost 33 inf + 114803 122.818 * * [simplify]: Extracting #6: cost 0 inf + 121459 122.852 * * [simplify]: Extracting #7: cost 0 inf + 120717 122.876 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI))))) 122.876 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log (* n (* 2 PI))) (log (* n (* 2 PI)))))) (sqrt k))) 122.876 * * * * [progress]: [ 253 / 295 ] simplifiying candidate # 122.877 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)))) 122.877 * * [simplify]: iters left: 6 (21 enodes) 122.888 * * [simplify]: iters left: 5 (94 enodes) 122.923 * * [simplify]: iters left: 4 (169 enodes) 122.967 * * [simplify]: iters left: 3 (428 enodes) 123.149 * * [simplify]: Extracting #0: cost 1 inf + 0 123.149 * * [simplify]: Extracting #1: cost 42 inf + 0 123.150 * * [simplify]: Extracting #2: cost 260 inf + 2 123.151 * * [simplify]: Extracting #3: cost 352 inf + 413 123.154 * * [simplify]: Extracting #4: cost 329 inf + 8367 123.171 * * [simplify]: Extracting #5: cost 141 inf + 52337 123.207 * * [simplify]: Extracting #6: cost 17 inf + 100767 123.250 * * [simplify]: Extracting #7: cost 0 inf + 109206 123.287 * [simplify]: Simplified to (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log n) (log (* 2 PI)))) 123.287 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (+ (log n) (log (* 2 PI))))) (sqrt k))) 123.288 * * * * [progress]: [ 254 / 295 ] simplifiying candidate # 123.288 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 123.288 * * [simplify]: iters left: 6 (19 enodes) 123.293 * * [simplify]: iters left: 5 (87 enodes) 123.309 * * [simplify]: iters left: 4 (171 enodes) 123.361 * * [simplify]: iters left: 3 (454 enodes) 123.563 * * [simplify]: Extracting #0: cost 1 inf + 0 123.563 * * [simplify]: Extracting #1: cost 45 inf + 0 123.565 * * [simplify]: Extracting #2: cost 290 inf + 2 123.568 * * [simplify]: Extracting #3: cost 411 inf + 301 123.576 * * [simplify]: Extracting #4: cost 334 inf + 22241 123.592 * * [simplify]: Extracting #5: cost 85 inf + 91759 123.616 * * [simplify]: Extracting #6: cost 7 inf + 125852 123.659 * * [simplify]: Extracting #7: cost 0 inf + 129717 123.709 * [simplify]: Simplified to (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4))) 123.709 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 4)))) (sqrt k))) 123.709 * * * * [progress]: [ 255 / 295 ] simplifiying candidate # 123.709 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 123.710 * * [simplify]: iters left: 6 (18 enodes) 123.720 * * [simplify]: iters left: 5 (86 enodes) 123.750 * * [simplify]: iters left: 4 (174 enodes) 123.819 * * [simplify]: iters left: 3 (425 enodes) 123.986 * * [simplify]: Extracting #0: cost 1 inf + 0 123.986 * * [simplify]: Extracting #1: cost 43 inf + 0 123.987 * * [simplify]: Extracting #2: cost 284 inf + 2 123.989 * * [simplify]: Extracting #3: cost 407 inf + 189 123.994 * * [simplify]: Extracting #4: cost 310 inf + 33810 124.015 * * [simplify]: Extracting #5: cost 48 inf + 111662 124.410 * * [simplify]: Extracting #6: cost 4 inf + 118949 124.437 * * [simplify]: Extracting #7: cost 0 inf + 120106 124.484 * * [simplify]: Extracting #8: cost 0 inf + 119993 124.516 * * [simplify]: Extracting #9: cost 0 inf + 119952 124.551 * [simplify]: Simplified to (+ (/ (log (* n (* 2 PI))) (/ 4 (- 1 k))) (/ (log (* n (* 2 PI))) (/ 4 (- 1 k)))) 124.552 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (log (* n (* 2 PI))) (/ 4 (- 1 k))) (/ (log (* n (* 2 PI))) (/ 4 (- 1 k))))) (sqrt k))) 124.552 * * * * [progress]: [ 256 / 295 ] simplifiying candidate # 124.552 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))) 124.552 * * [simplify]: iters left: 6 (18 enodes) 124.563 * * [simplify]: iters left: 5 (86 enodes) 124.593 * * [simplify]: iters left: 4 (174 enodes) 124.644 * * [simplify]: iters left: 3 (425 enodes) 124.808 * * [simplify]: Extracting #0: cost 1 inf + 0 124.808 * * [simplify]: Extracting #1: cost 43 inf + 0 124.809 * * [simplify]: Extracting #2: cost 284 inf + 2 124.810 * * [simplify]: Extracting #3: cost 407 inf + 189 124.815 * * [simplify]: Extracting #4: cost 310 inf + 33810 124.846 * * [simplify]: Extracting #5: cost 48 inf + 111662 124.891 * * [simplify]: Extracting #6: cost 4 inf + 118949 124.916 * * [simplify]: Extracting #7: cost 0 inf + 120106 124.960 * * [simplify]: Extracting #8: cost 0 inf + 119993 124.997 * * [simplify]: Extracting #9: cost 0 inf + 119952 125.023 * [simplify]: Simplified to (+ (/ (log (* n (* 2 PI))) (/ 4 (- 1 k))) (/ (log (* n (* 2 PI))) (/ 4 (- 1 k)))) 125.024 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (log (* n (* 2 PI))) (/ 4 (- 1 k))) (/ (log (* n (* 2 PI))) (/ 4 (- 1 k))))) (sqrt k))) 125.024 * * * * [progress]: [ 257 / 295 ] simplifiying candidate # 125.024 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 125.024 * * [simplify]: iters left: 6 (18 enodes) 125.036 * * [simplify]: iters left: 5 (86 enodes) 125.064 * * [simplify]: iters left: 4 (177 enodes) 125.127 * * [simplify]: iters left: 3 (448 enodes) 125.343 * * [simplify]: Extracting #0: cost 1 inf + 0 125.343 * * [simplify]: Extracting #1: cost 48 inf + 0 125.344 * * [simplify]: Extracting #2: cost 303 inf + 2 125.353 * * [simplify]: Extracting #3: cost 453 inf + 187 125.366 * * [simplify]: Extracting #4: cost 335 inf + 35548 125.411 * * [simplify]: Extracting #5: cost 42 inf + 129545 125.466 * * [simplify]: Extracting #6: cost 3 inf + 139351 125.498 * * [simplify]: Extracting #7: cost 0 inf + 140139 125.546 * * [simplify]: Extracting #8: cost 0 inf + 140138 125.601 * [simplify]: Simplified to (+ (/ (* (- 1 k) (log (* n (* 2 PI)))) 4) (/ (* (- 1 k) (log (* n (* 2 PI)))) 4)) 125.602 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (/ (* (- 1 k) (log (* n (* 2 PI)))) 4) (/ (* (- 1 k) (log (* n (* 2 PI)))) 4))) (sqrt k))) 125.602 * * * * [progress]: [ 258 / 295 ] simplifiying candidate # 125.602 * [simplify]: Simplifying (+ (log (pow n (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 125.602 * * [simplify]: iters left: 6 (17 enodes) 125.612 * * [simplify]: iters left: 5 (80 enodes) 125.641 * * [simplify]: iters left: 4 (164 enodes) 125.672 * * [simplify]: iters left: 3 (378 enodes) 125.841 * * [simplify]: Extracting #0: cost 1 inf + 0 125.841 * * [simplify]: Extracting #1: cost 41 inf + 0 125.842 * * [simplify]: Extracting #2: cost 218 inf + 0 125.844 * * [simplify]: Extracting #3: cost 343 inf + 75 125.847 * * [simplify]: Extracting #4: cost 351 inf + 10435 125.856 * * [simplify]: Extracting #5: cost 185 inf + 58234 125.877 * * [simplify]: Extracting #6: cost 25 inf + 142274 125.911 * * [simplify]: Extracting #7: cost 0 inf + 159445 125.937 * * [simplify]: Extracting #8: cost 0 inf + 159444 125.984 * [simplify]: Simplified to (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4))) 125.984 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)) (* (log (* (* 2 n) PI)) (/ (- 1 k) 4)))) (sqrt k))) 125.984 * * * * [progress]: [ 259 / 295 ] simplifiying candidate # 125.984 * * * * [progress]: [ 260 / 295 ] simplifiying candidate # 125.984 * * * * [progress]: [ 261 / 295 ] simplifiying candidate # 125.985 * [simplify]: Simplifying (* (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow n (/ (/ (- 1 k) 2) 2))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 125.985 * * [simplify]: iters left: 6 (21 enodes) 125.996 * * [simplify]: iters left: 5 (102 enodes) 126.016 * * [simplify]: iters left: 4 (272 enodes) 126.161 * * [simplify]: Extracting #0: cost 1 inf + 0 126.161 * * [simplify]: Extracting #1: cost 58 inf + 0 126.162 * * [simplify]: Extracting #2: cost 306 inf + 0 126.163 * * [simplify]: Extracting #3: cost 352 inf + 2 126.168 * * [simplify]: Extracting #4: cost 358 inf + 52 126.177 * * [simplify]: Extracting #5: cost 272 inf + 45195 126.203 * * [simplify]: Extracting #6: cost 98 inf + 181353 126.246 * * [simplify]: Extracting #7: cost 0 inf + 265267 126.292 * * [simplify]: Extracting #8: cost 0 inf + 263509 126.350 * * [simplify]: Extracting #9: cost 0 inf + 263249 126.398 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4)))))) (pow n (/ (- 1 k) 4))) 126.398 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow n (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4)))))) (pow n (/ (- 1 k) 4)))) (sqrt k))) 126.399 * * * * [progress]: [ 262 / 295 ] simplifiying candidate # 126.399 * [simplify]: Simplifying (* (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow n (/ (/ (- 1 k) 2) 2))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 126.399 * * [simplify]: iters left: 6 (19 enodes) 126.405 * * [simplify]: iters left: 5 (98 enodes) 126.443 * * [simplify]: iters left: 4 (284 enodes) 126.615 * * [simplify]: Extracting #0: cost 1 inf + 0 126.615 * * [simplify]: Extracting #1: cost 60 inf + 0 126.617 * * [simplify]: Extracting #2: cost 341 inf + 0 126.620 * * [simplify]: Extracting #3: cost 407 inf + 2 126.624 * * [simplify]: Extracting #4: cost 408 inf + 344 126.640 * * [simplify]: Extracting #5: cost 290 inf + 77866 126.687 * * [simplify]: Extracting #6: cost 71 inf + 260592 126.734 * * [simplify]: Extracting #7: cost 0 inf + 322610 126.786 * * [simplify]: Extracting #8: cost 0 inf + 320482 126.847 * [simplify]: Simplified to (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))))) 126.847 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4)))))) (sqrt k))) 126.847 * * * * [progress]: [ 263 / 295 ] simplifiying candidate # 126.848 * * * * [progress]: [ 264 / 295 ] simplifiying candidate # 126.848 * * * * [progress]: [ 265 / 295 ] simplifiying candidate # 126.848 * * * * [progress]: [ 266 / 295 ] simplifiying candidate # 126.848 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) 126.848 * * [simplify]: iters left: 6 (13 enodes) 126.858 * * [simplify]: iters left: 5 (62 enodes) 126.887 * * [simplify]: iters left: 4 (151 enodes) 126.951 * * [simplify]: iters left: 3 (445 enodes) 127.180 * * [simplify]: Extracting #0: cost 1 inf + 0 127.180 * * [simplify]: Extracting #1: cost 79 inf + 0 127.181 * * [simplify]: Extracting #2: cost 328 inf + 0 127.183 * * [simplify]: Extracting #3: cost 328 inf + 1066 127.186 * * [simplify]: Extracting #4: cost 273 inf + 25347 127.212 * * [simplify]: Extracting #5: cost 54 inf + 184579 127.232 * * [simplify]: Extracting #6: cost 0 inf + 230004 127.266 * [simplify]: Simplified to (* (pow n 1/4) (* (pow (* PI 2) 1/4) (pow (* (* PI 2) n) 1/4))) 127.266 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (pow n 1/4) (* (pow (* PI 2) 1/4) (pow (* (* PI 2) n) 1/4))) (* (pow n (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))))) (sqrt k))) 127.267 * [simplify]: Simplifying (* (pow n (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) 127.267 * * [simplify]: iters left: 6 (13 enodes) 127.274 * * [simplify]: iters left: 5 (57 enodes) 127.293 * * [simplify]: iters left: 4 (119 enodes) 127.331 * * [simplify]: iters left: 3 (359 enodes) 127.705 * * [simplify]: Extracting #0: cost 1 inf + 0 127.705 * * [simplify]: Extracting #1: cost 95 inf + 0 127.713 * * [simplify]: Extracting #2: cost 395 inf + 0 127.716 * * [simplify]: Extracting #3: cost 422 inf + 2 127.723 * * [simplify]: Extracting #4: cost 360 inf + 24818 127.746 * * [simplify]: Extracting #5: cost 116 inf + 217750 127.800 * * [simplify]: Extracting #6: cost 1 inf + 320745 127.845 * * [simplify]: Extracting #7: cost 0 inf + 319309 127.908 * * [simplify]: Extracting #8: cost 0 inf + 319308 127.964 * [simplify]: Simplified to (* (pow n (/ k 4)) (* (pow (* PI 2) (/ k 4)) (pow (* (* PI 2) n) (/ k 4)))) 127.964 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) (* (pow n (/ k 4)) (* (pow (* PI 2) (/ k 4)) (pow (* (* PI 2) n) (/ k 4))))) (sqrt k))) 127.964 * * * * [progress]: [ 267 / 295 ] simplifiying candidate # 127.964 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) 127.965 * * [simplify]: iters left: 6 (17 enodes) 127.971 * * [simplify]: iters left: 5 (80 enodes) 128.002 * * [simplify]: iters left: 4 (173 enodes) 128.080 * * [simplify]: iters left: 3 (465 enodes) 128.370 * * [simplify]: Extracting #0: cost 1 inf + 0 128.371 * * [simplify]: Extracting #1: cost 79 inf + 0 128.372 * * [simplify]: Extracting #2: cost 342 inf + 0 128.373 * * [simplify]: Extracting #3: cost 372 inf + 218 128.375 * * [simplify]: Extracting #4: cost 351 inf + 10993 128.381 * * [simplify]: Extracting #5: cost 245 inf + 70662 128.414 * * [simplify]: Extracting #6: cost 56 inf + 214764 128.448 * * [simplify]: Extracting #7: cost 0 inf + 264692 128.495 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow n 1/4)) 128.495 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow n 1/4)) (* (pow n (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k))) 128.495 * [simplify]: Simplifying (* (pow n (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 128.495 * * [simplify]: iters left: 6 (11 enodes) 128.498 * * [simplify]: iters left: 5 (46 enodes) 128.507 * * [simplify]: iters left: 4 (86 enodes) 128.526 * * [simplify]: iters left: 3 (185 enodes) 128.628 * * [simplify]: Extracting #0: cost 1 inf + 0 128.628 * * [simplify]: Extracting #1: cost 36 inf + 0 128.628 * * [simplify]: Extracting #2: cost 116 inf + 0 128.628 * * [simplify]: Extracting #3: cost 141 inf + 2 128.629 * * [simplify]: Extracting #4: cost 131 inf + 885 128.632 * * [simplify]: Extracting #5: cost 66 inf + 24924 128.643 * * [simplify]: Extracting #6: cost 5 inf + 67165 128.661 * * [simplify]: Extracting #7: cost 0 inf + 70412 128.675 * * [simplify]: Extracting #8: cost 0 inf + 70328 128.684 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ k 4)) (pow n (/ k 4))) 128.684 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) 1/4)) (pow n 1/4)) (* (pow (* (* PI 2) n) (/ k 4)) (pow n (/ k 4)))) (sqrt k))) 128.684 * * * * [progress]: [ 268 / 295 ] simplifiying candidate # 128.684 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 128.684 * * [simplify]: iters left: 6 (17 enodes) 128.691 * * [simplify]: iters left: 5 (80 enodes) 128.715 * * [simplify]: iters left: 4 (173 enodes) 128.771 * * [simplify]: iters left: 3 (473 enodes) 129.063 * * [simplify]: Extracting #0: cost 1 inf + 0 129.064 * * [simplify]: Extracting #1: cost 82 inf + 0 129.065 * * [simplify]: Extracting #2: cost 339 inf + 0 129.066 * * [simplify]: Extracting #3: cost 368 inf + 642 129.069 * * [simplify]: Extracting #4: cost 349 inf + 9922 129.075 * * [simplify]: Extracting #5: cost 237 inf + 72771 129.108 * * [simplify]: Extracting #6: cost 52 inf + 210333 129.166 * * [simplify]: Extracting #7: cost 0 inf + 257281 129.214 * * [simplify]: Extracting #8: cost 0 inf + 256753 129.254 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n 1/4)) 129.254 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n 1/4)) (* (pow n (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2)))) (sqrt k))) 129.255 * [simplify]: Simplifying (* (pow n (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) 129.255 * * [simplify]: iters left: 6 (10 enodes) 129.261 * * [simplify]: iters left: 5 (40 enodes) 129.274 * * [simplify]: iters left: 4 (72 enodes) 129.291 * * [simplify]: iters left: 3 (162 enodes) 129.350 * * [simplify]: Extracting #0: cost 1 inf + 0 129.350 * * [simplify]: Extracting #1: cost 27 inf + 0 129.351 * * [simplify]: Extracting #2: cost 107 inf + 0 129.352 * * [simplify]: Extracting #3: cost 132 inf + 2 129.353 * * [simplify]: Extracting #4: cost 121 inf + 1754 129.356 * * [simplify]: Extracting #5: cost 53 inf + 28245 129.362 * * [simplify]: Extracting #6: cost 2 inf + 63858 129.370 * * [simplify]: Extracting #7: cost 0 inf + 65247 129.377 * [simplify]: Simplified to (* (pow (* PI 2) (/ k 4)) (pow n (/ k 4))) 129.377 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n 1/4)) (* (pow (* PI 2) (/ k 4)) (pow n (/ k 4)))) (sqrt k))) 129.377 * * * * [progress]: [ 269 / 295 ] simplifiying candidate # 129.377 * * * * [progress]: [ 270 / 295 ] simplifiying candidate # 129.377 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 129.378 * * [simplify]: iters left: 6 (11 enodes) 129.381 * * [simplify]: iters left: 5 (51 enodes) 129.391 * * [simplify]: iters left: 4 (87 enodes) 129.422 * * [simplify]: iters left: 3 (143 enodes) 129.450 * * [simplify]: iters left: 2 (259 enodes) 129.532 * * [simplify]: iters left: 1 (467 enodes) 129.722 * * [simplify]: Extracting #0: cost 1 inf + 0 129.723 * * [simplify]: Extracting #1: cost 23 inf + 0 129.723 * * [simplify]: Extracting #2: cost 99 inf + 1 129.724 * * [simplify]: Extracting #3: cost 180 inf + 178 129.725 * * [simplify]: Extracting #4: cost 162 inf + 2505 129.728 * * [simplify]: Extracting #5: cost 78 inf + 12096 129.734 * * [simplify]: Extracting #6: cost 33 inf + 29460 129.750 * * [simplify]: Extracting #7: cost 1 inf + 56926 129.768 * * [simplify]: Extracting #8: cost 0 inf + 57804 129.779 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 129.779 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt k))) 129.779 * * * * [progress]: [ 271 / 295 ] simplifiying candidate # 129.779 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1 k) 2) 2)) 129.779 * * [simplify]: iters left: 6 (10 enodes) 129.782 * * [simplify]: iters left: 5 (44 enodes) 129.793 * * [simplify]: iters left: 4 (72 enodes) 129.812 * * [simplify]: iters left: 3 (122 enodes) 129.859 * * [simplify]: iters left: 2 (241 enodes) 129.954 * * [simplify]: iters left: 1 (454 enodes) 130.221 * * [simplify]: Extracting #0: cost 1 inf + 0 130.221 * * [simplify]: Extracting #1: cost 27 inf + 0 130.222 * * [simplify]: Extracting #2: cost 107 inf + 1 130.223 * * [simplify]: Extracting #3: cost 190 inf + 9 130.226 * * [simplify]: Extracting #4: cost 158 inf + 5063 130.241 * * [simplify]: Extracting #5: cost 39 inf + 39943 130.271 * * [simplify]: Extracting #6: cost 0 inf + 58811 130.300 * * [simplify]: Extracting #7: cost 0 inf + 58327 130.317 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) 130.317 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (* 1/4 (- 1 k))) (* (pow (cbrt n) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 130.317 * * * * [progress]: [ 272 / 295 ] simplifiying candidate # 130.317 * [simplify]: Simplifying (pow (sqrt n) (/ (/ (- 1 k) 2) 2)) 130.317 * * [simplify]: iters left: 6 (9 enodes) 130.324 * * [simplify]: iters left: 5 (41 enodes) 130.331 * * [simplify]: iters left: 4 (69 enodes) 130.352 * * [simplify]: iters left: 3 (119 enodes) 130.379 * * [simplify]: iters left: 2 (241 enodes) 130.433 * * [simplify]: iters left: 1 (467 enodes) 130.652 * * [simplify]: Extracting #0: cost 1 inf + 0 130.652 * * [simplify]: Extracting #1: cost 25 inf + 0 130.653 * * [simplify]: Extracting #2: cost 114 inf + 1 130.654 * * [simplify]: Extracting #3: cost 192 inf + 93 130.656 * * [simplify]: Extracting #4: cost 192 inf + 519 130.663 * * [simplify]: Extracting #5: cost 82 inf + 16987 130.676 * * [simplify]: Extracting #6: cost 20 inf + 42175 130.686 * * [simplify]: Extracting #7: cost 0 inf + 58933 130.696 * * [simplify]: Extracting #8: cost 0 inf + 58533 130.715 * [simplify]: Simplified to (pow (sqrt n) (- 1/4 (/ k 4))) 130.715 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (- 1/4 (/ k 4))) (* (pow (sqrt n) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 130.715 * * * * [progress]: [ 273 / 295 ] simplifiying candidate # 130.716 * [simplify]: Simplifying (pow 1 (/ (/ (- 1 k) 2) 2)) 130.716 * * [simplify]: iters left: 6 (7 enodes) 130.721 * * [simplify]: iters left: 5 (30 enodes) 130.731 * * [simplify]: iters left: 4 (45 enodes) 130.739 * * [simplify]: iters left: 3 (51 enodes) 130.747 * * [simplify]: iters left: 2 (58 enodes) 130.756 * * [simplify]: Extracting #0: cost 1 inf + 0 130.756 * * [simplify]: Extracting #1: cost 0 inf + 1 130.756 * [simplify]: Simplified to 1 130.756 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 130.756 * * * * [progress]: [ 274 / 295 ] simplifiying candidate # 130.756 * [simplify]: Simplifying (* (cbrt (pow n (/ (/ (- 1 k) 2) 2))) (cbrt (pow n (/ (/ (- 1 k) 2) 2)))) 130.756 * * [simplify]: iters left: 6 (10 enodes) 130.762 * * [simplify]: iters left: 5 (44 enodes) 130.778 * * [simplify]: iters left: 4 (72 enodes) 130.805 * * [simplify]: iters left: 3 (116 enodes) 130.834 * * [simplify]: iters left: 2 (204 enodes) 130.882 * * [simplify]: iters left: 1 (400 enodes) 131.047 * * [simplify]: Extracting #0: cost 1 inf + 0 131.047 * * [simplify]: Extracting #1: cost 3 inf + 0 131.047 * * [simplify]: Extracting #2: cost 5 inf + 0 131.047 * * [simplify]: Extracting #3: cost 29 inf + 0 131.047 * * [simplify]: Extracting #4: cost 97 inf + 2 131.049 * * [simplify]: Extracting #5: cost 168 inf + 10 131.050 * * [simplify]: Extracting #6: cost 167 inf + 723 131.055 * * [simplify]: Extracting #7: cost 86 inf + 12242 131.073 * * [simplify]: Extracting #8: cost 16 inf + 43361 131.093 * * [simplify]: Extracting #9: cost 0 inf + 51351 131.106 * * [simplify]: Extracting #10: cost 0 inf + 48844 131.118 * * [simplify]: Extracting #11: cost 0 inf + 47938 131.133 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 4))) (cbrt (pow n (/ (- 1 k) 4)))) 131.133 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (/ (- 1 k) 4))) (cbrt (pow n (/ (- 1 k) 4)))) (* (cbrt (pow n (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 131.134 * * * * [progress]: [ 275 / 295 ] simplifiying candidate # 131.134 * [simplify]: Simplifying (sqrt (pow n (/ (/ (- 1 k) 2) 2))) 131.134 * * [simplify]: iters left: 6 (9 enodes) 131.140 * * [simplify]: iters left: 5 (41 enodes) 131.154 * * [simplify]: iters left: 4 (70 enodes) 131.175 * * [simplify]: iters left: 3 (114 enodes) 131.197 * * [simplify]: iters left: 2 (203 enodes) 131.268 * * [simplify]: iters left: 1 (399 enodes) 131.445 * * [simplify]: Extracting #0: cost 1 inf + 0 131.445 * * [simplify]: Extracting #1: cost 4 inf + 0 131.445 * * [simplify]: Extracting #2: cost 29 inf + 0 131.446 * * [simplify]: Extracting #3: cost 117 inf + 2 131.447 * * [simplify]: Extracting #4: cost 159 inf + 11 131.448 * * [simplify]: Extracting #5: cost 156 inf + 1186 131.452 * * [simplify]: Extracting #6: cost 98 inf + 7652 131.462 * * [simplify]: Extracting #7: cost 28 inf + 32517 131.477 * * [simplify]: Extracting #8: cost 0 inf + 54364 131.494 * * [simplify]: Extracting #9: cost 0 inf + 53458 131.512 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 4))) 131.512 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (/ (- 1 k) 4))) (* (sqrt (pow n (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 131.512 * * * * [progress]: [ 276 / 295 ] simplifiying candidate # 131.512 * * * * [progress]: [ 277 / 295 ] simplifiying candidate # 131.513 * [simplify]: Simplifying (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) 131.513 * * [simplify]: iters left: 6 (9 enodes) 131.519 * * [simplify]: iters left: 5 (42 enodes) 131.538 * * [simplify]: iters left: 4 (79 enodes) 131.567 * * [simplify]: iters left: 3 (143 enodes) 131.612 * * [simplify]: iters left: 2 (250 enodes) 131.681 * * [simplify]: iters left: 1 (468 enodes) 131.899 * * [simplify]: Extracting #0: cost 1 inf + 0 131.899 * * [simplify]: Extracting #1: cost 25 inf + 0 131.900 * * [simplify]: Extracting #2: cost 111 inf + 2 131.901 * * [simplify]: Extracting #3: cost 185 inf + 12 131.903 * * [simplify]: Extracting #4: cost 152 inf + 3999 131.908 * * [simplify]: Extracting #5: cost 36 inf + 33456 131.921 * * [simplify]: Extracting #6: cost 1 inf + 56847 131.940 * * [simplify]: Extracting #7: cost 0 inf + 56949 131.959 * [simplify]: Simplified to (pow n (/ (- 1 k) 8)) 131.959 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 8)) (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) (sqrt k))) 131.960 * * * * [progress]: [ 278 / 295 ] simplifiying candidate # 131.960 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 131.960 * * [simplify]: iters left: 6 (11 enodes) 131.966 * * [simplify]: iters left: 5 (46 enodes) 131.981 * * [simplify]: iters left: 4 (86 enodes) 132.014 * * [simplify]: iters left: 3 (185 enodes) 132.132 * * [simplify]: Extracting #0: cost 1 inf + 0 132.132 * * [simplify]: Extracting #1: cost 36 inf + 0 132.133 * * [simplify]: Extracting #2: cost 117 inf + 0 132.133 * * [simplify]: Extracting #3: cost 144 inf + 1 132.135 * * [simplify]: Extracting #4: cost 130 inf + 1630 132.140 * * [simplify]: Extracting #5: cost 70 inf + 25282 132.155 * * [simplify]: Extracting #6: cost 8 inf + 68980 132.176 * * [simplify]: Extracting #7: cost 0 inf + 74820 132.189 * [simplify]: Simplified to (* (pow (* n (* 2 PI)) (/ k 4)) (pow (* 2 PI) (/ k 4))) 132.190 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) (* (pow (* n (* 2 PI)) (/ k 4)) (pow (* 2 PI) (/ k 4)))) (sqrt k))) 132.190 * * * * [progress]: [ 279 / 295 ] simplifiying candidate # 132.190 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 132.190 * * [simplify]: iters left: 5 (9 enodes) 132.193 * * [simplify]: iters left: 4 (37 enodes) 132.199 * * [simplify]: iters left: 3 (57 enodes) 132.209 * * [simplify]: iters left: 2 (93 enodes) 132.230 * * [simplify]: iters left: 1 (170 enodes) 132.296 * * [simplify]: Extracting #0: cost 1 inf + 0 132.296 * * [simplify]: Extracting #1: cost 13 inf + 0 132.296 * * [simplify]: Extracting #2: cost 59 inf + 1 132.297 * * [simplify]: Extracting #3: cost 78 inf + 176 132.298 * * [simplify]: Extracting #4: cost 40 inf + 3875 132.303 * * [simplify]: Extracting #5: cost 7 inf + 16988 132.309 * * [simplify]: Extracting #6: cost 0 inf + 20577 132.314 * * [simplify]: Extracting #7: cost 0 inf + 20336 132.320 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 132.320 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ 1 2) 2)))) (pow (* (* PI 2) n) (/ k 4))) (sqrt k))) 132.321 * * * * [progress]: [ 280 / 295 ] simplifiying candidate # 132.321 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 132.321 * * [simplify]: iters left: 5 (7 enodes) 132.325 * * [simplify]: iters left: 4 (28 enodes) 132.334 * * [simplify]: iters left: 3 (43 enodes) 132.348 * * [simplify]: iters left: 2 (74 enodes) 132.375 * * [simplify]: iters left: 1 (151 enodes) 132.416 * * [simplify]: Extracting #0: cost 1 inf + 0 132.416 * * [simplify]: Extracting #1: cost 12 inf + 0 132.416 * * [simplify]: Extracting #2: cost 54 inf + 1 132.416 * * [simplify]: Extracting #3: cost 71 inf + 135 132.417 * * [simplify]: Extracting #4: cost 32 inf + 4638 132.419 * * [simplify]: Extracting #5: cost 6 inf + 15744 132.422 * * [simplify]: Extracting #6: cost 0 inf + 18744 132.427 * * [simplify]: Extracting #7: cost 0 inf + 18624 132.432 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 132.432 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ k 4))) (sqrt k))) 132.433 * * * * [progress]: [ 281 / 295 ] simplifiying candidate # 132.433 * [simplify]: Simplifying (* (pow n (/ (/ 1 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 132.433 * * [simplify]: iters left: 6 (17 enodes) 132.444 * * [simplify]: iters left: 5 (79 enodes) 132.473 * * [simplify]: iters left: 4 (162 enodes) 132.552 * * [simplify]: iters left: 3 (438 enodes) 133.012 * * [simplify]: Extracting #0: cost 1 inf + 0 133.012 * * [simplify]: Extracting #1: cost 94 inf + 0 133.013 * * [simplify]: Extracting #2: cost 394 inf + 0 133.016 * * [simplify]: Extracting #3: cost 424 inf + 6 133.018 * * [simplify]: Extracting #4: cost 421 inf + 2169 133.027 * * [simplify]: Extracting #5: cost 340 inf + 42873 133.052 * * [simplify]: Extracting #6: cost 117 inf + 213663 133.124 * * [simplify]: Extracting #7: cost 7 inf + 316764 133.204 * * [simplify]: Extracting #8: cost 0 inf + 324071 133.265 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow n 1/4)) 133.265 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow n 1/4)) (pow n (/ (/ k 2) 2))) (sqrt k))) 133.265 * * * * [progress]: [ 282 / 295 ] simplifiying candidate #real (real->posit16 (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) (sqrt k)))> 133.265 * * * * [progress]: [ 283 / 295 ] simplifiying candidate # 133.265 * * * * [progress]: [ 284 / 295 ] simplifiying candidate # 133.265 * [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))))))) 133.266 * * [simplify]: iters left: 6 (37 enodes) 133.277 * * [simplify]: iters left: 5 (190 enodes) 133.345 * * [simplify]: Extracting #0: cost 1 inf + 0 133.345 * * [simplify]: Extracting #1: cost 18 inf + 0 133.345 * * [simplify]: Extracting #2: cost 85 inf + 0 133.346 * * [simplify]: Extracting #3: cost 169 inf + 45 133.347 * * [simplify]: Extracting #4: cost 194 inf + 581 133.349 * * [simplify]: Extracting #5: cost 128 inf + 18118 133.365 * * [simplify]: Extracting #6: cost 27 inf + 64733 133.394 * * [simplify]: Extracting #7: cost 1 inf + 82414 133.426 * * [simplify]: Extracting #8: cost 0 inf + 81915 133.453 * * [simplify]: Extracting #9: cost 0 inf + 81594 133.471 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 133.471 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))))) (sqrt k))) 133.472 * * * * [progress]: [ 285 / 295 ] simplifiying candidate # 133.472 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 133.472 * * [simplify]: iters left: 6 (15 enodes) 133.477 * * [simplify]: iters left: 5 (65 enodes) 133.496 * * [simplify]: iters left: 4 (123 enodes) 133.523 * * [simplify]: iters left: 3 (360 enodes) 133.682 * * [simplify]: Extracting #0: cost 1 inf + 0 133.682 * * [simplify]: Extracting #1: cost 37 inf + 0 133.683 * * [simplify]: Extracting #2: cost 214 inf + 1 133.686 * * [simplify]: Extracting #3: cost 351 inf + 1827 133.695 * * [simplify]: Extracting #4: cost 217 inf + 29927 133.719 * * [simplify]: Extracting #5: cost 35 inf + 80289 133.735 * * [simplify]: Extracting #6: cost 0 inf + 89737 133.755 * * [simplify]: Extracting #7: cost 0 inf + 88848 133.786 * * [simplify]: Extracting #8: cost 0 inf + 88843 133.813 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 133.814 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)))) (sqrt k))) 133.814 * * * * [progress]: [ 286 / 295 ] simplifiying candidate # 133.814 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 133.814 * * [simplify]: iters left: 6 (16 enodes) 133.819 * * [simplify]: iters left: 5 (67 enodes) 133.832 * * [simplify]: iters left: 4 (134 enodes) 133.881 * * [simplify]: iters left: 3 (406 enodes) 134.139 * * [simplify]: Extracting #0: cost 1 inf + 0 134.139 * * [simplify]: Extracting #1: cost 39 inf + 0 134.139 * * [simplify]: Extracting #2: cost 241 inf + 72 134.141 * * [simplify]: Extracting #3: cost 449 inf + 888 134.146 * * [simplify]: Extracting #4: cost 276 inf + 41470 134.164 * * [simplify]: Extracting #5: cost 21 inf + 115189 134.203 * * [simplify]: Extracting #6: cost 0 inf + 121987 134.250 * * [simplify]: Extracting #7: cost 0 inf + 121985 134.293 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 134.293 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 134.293 * * * * [progress]: [ 287 / 295 ] simplifiying candidate # 134.293 * [simplify]: Simplifying (- (+ (pow n 1/4) (* 1/32 (* (pow n 1/4) (* (pow (log n) 2) (pow k 2))))) (* 1/4 (* (pow n 1/4) (* (log n) k)))) 134.294 * * [simplify]: iters left: 6 (17 enodes) 134.304 * * [simplify]: iters left: 5 (82 enodes) 134.337 * * [simplify]: iters left: 4 (206 enodes) 134.418 * * [simplify]: Extracting #0: cost 1 inf + 0 134.418 * * [simplify]: Extracting #1: cost 10 inf + 0 134.418 * * [simplify]: Extracting #2: cost 88 inf + 0 134.419 * * [simplify]: Extracting #3: cost 166 inf + 128 134.421 * * [simplify]: Extracting #4: cost 145 inf + 5572 134.429 * * [simplify]: Extracting #5: cost 31 inf + 41250 134.439 * * [simplify]: Extracting #6: cost 0 inf + 52275 134.446 * * [simplify]: Extracting #7: cost 0 inf + 52155 134.454 * [simplify]: Simplified to (+ (pow n 1/4) (* (pow n 1/4) (- (* (* 1/32 (* k (log n))) (* k (log n))) (* (log n) (* 1/4 k))))) 134.454 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (+ (pow n 1/4) (* (pow n 1/4) (- (* (* 1/32 (* k (log n))) (* k (log n))) (* (log n) (* 1/4 k))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 134.455 * * * * [progress]: [ 288 / 295 ] simplifiying candidate # 134.455 * [simplify]: Simplifying (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) 134.455 * * [simplify]: iters left: 6 (10 enodes) 134.458 * * [simplify]: iters left: 5 (44 enodes) 134.467 * * [simplify]: iters left: 4 (87 enodes) 134.499 * * [simplify]: iters left: 3 (209 enodes) 134.569 * * [simplify]: Extracting #0: cost 1 inf + 0 134.569 * * [simplify]: Extracting #1: cost 32 inf + 0 134.570 * * [simplify]: Extracting #2: cost 114 inf + 73 134.570 * * [simplify]: Extracting #3: cost 146 inf + 1532 134.572 * * [simplify]: Extracting #4: cost 64 inf + 14982 134.577 * * [simplify]: Extracting #5: cost 4 inf + 29158 134.587 * * [simplify]: Extracting #6: cost 0 inf + 31027 134.594 * * [simplify]: Extracting #7: cost 0 inf + 30987 134.599 * [simplify]: Simplified to (exp (* (* (log n) 1/4) (- 1 k))) 134.599 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (* (log n) 1/4) (- 1 k))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 134.599 * * * * [progress]: [ 289 / 295 ] simplifiying candidate # 134.599 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 134.599 * * [simplify]: iters left: 6 (13 enodes) 134.603 * * [simplify]: iters left: 5 (53 enodes) 134.613 * * [simplify]: iters left: 4 (109 enodes) 134.660 * * [simplify]: iters left: 3 (304 enodes) 134.778 * * [simplify]: Extracting #0: cost 1 inf + 0 134.778 * * [simplify]: Extracting #1: cost 34 inf + 0 134.778 * * [simplify]: Extracting #2: cost 135 inf + 73 134.779 * * [simplify]: Extracting #3: cost 198 inf + 1702 134.782 * * [simplify]: Extracting #4: cost 84 inf + 21660 134.789 * * [simplify]: Extracting #5: cost 13 inf + 38429 134.800 * * [simplify]: Extracting #6: cost 0 inf + 43124 134.815 * * [simplify]: Extracting #7: cost 0 inf + 43038 134.830 * * [simplify]: Extracting #8: cost 0 inf + 43037 134.845 * [simplify]: Simplified to (exp (* 1/4 (- (log n) (* k (log n))))) 134.846 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* 1/4 (- (log n) (* k (log n))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 134.846 * * * * [progress]: [ 290 / 295 ] simplifiying candidate # 134.846 * [simplify]: Simplifying (* 2 (* n PI)) 134.846 * * [simplify]: iters left: 4 (5 enodes) 134.849 * * [simplify]: iters left: 3 (19 enodes) 134.855 * * [simplify]: iters left: 2 (27 enodes) 134.866 * * [simplify]: iters left: 1 (32 enodes) 134.874 * * [simplify]: Extracting #0: cost 1 inf + 0 134.874 * * [simplify]: Extracting #1: cost 8 inf + 0 134.874 * * [simplify]: Extracting #2: cost 7 inf + 45 134.875 * * [simplify]: Extracting #3: cost 0 inf + 421 134.875 * [simplify]: Simplified to (* (* PI n) 2) 134.875 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 134.875 * * * * [progress]: [ 291 / 295 ] simplifiying candidate # 134.876 * [simplify]: Simplifying (* 2 (* n PI)) 134.876 * * [simplify]: iters left: 4 (5 enodes) 134.879 * * [simplify]: iters left: 3 (19 enodes) 134.883 * * [simplify]: iters left: 2 (27 enodes) 134.887 * * [simplify]: iters left: 1 (32 enodes) 134.891 * * [simplify]: Extracting #0: cost 1 inf + 0 134.891 * * [simplify]: Extracting #1: cost 8 inf + 0 134.891 * * [simplify]: Extracting #2: cost 7 inf + 45 134.891 * * [simplify]: Extracting #3: cost 0 inf + 421 134.891 * [simplify]: Simplified to (* (* PI n) 2) 134.891 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 134.892 * * * * [progress]: [ 292 / 295 ] simplifiying candidate # 134.892 * [simplify]: Simplifying (* 2 (* n PI)) 134.892 * * [simplify]: iters left: 4 (5 enodes) 134.893 * * [simplify]: iters left: 3 (19 enodes) 134.896 * * [simplify]: iters left: 2 (27 enodes) 134.900 * * [simplify]: iters left: 1 (32 enodes) 134.904 * * [simplify]: Extracting #0: cost 1 inf + 0 134.904 * * [simplify]: Extracting #1: cost 8 inf + 0 134.904 * * [simplify]: Extracting #2: cost 7 inf + 45 134.904 * * [simplify]: Extracting #3: cost 0 inf + 421 134.904 * [simplify]: Simplified to (* (* PI n) 2) 134.904 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 134.905 * * * * [progress]: [ 293 / 295 ] simplifiying candidate # 134.905 * [simplify]: Simplifying (- (+ (* 1/4 (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log (* 2 PI)) (* (pow k 2) (log n)))) (pow (* PI (* n 2)) 1/4))) (+ (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (pow k 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* (pow (* PI (* n 2)) 1/4) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) (* 1/8 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))))))) (+ (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) k)))) (* 1/2 (* (pow (* PI (* n 2)) 1/4) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))) 134.905 * * [simplify]: iters left: 6 (46 enodes) 134.922 * * [simplify]: iters left: 5 (236 enodes) 135.024 * * [simplify]: Extracting #0: cost 1 inf + 0 135.024 * * [simplify]: Extracting #1: cost 18 inf + 0 135.024 * * [simplify]: Extracting #2: cost 91 inf + 0 135.025 * * [simplify]: Extracting #3: cost 195 inf + 4 135.027 * * [simplify]: Extracting #4: cost 270 inf + 118 135.031 * * [simplify]: Extracting #5: cost 227 inf + 14250 135.040 * * [simplify]: Extracting #6: cost 129 inf + 56299 135.058 * * [simplify]: Extracting #7: cost 29 inf + 126188 135.082 * * [simplify]: Extracting #8: cost 2 inf + 149809 135.110 * * [simplify]: Extracting #9: cost 0 inf + 152383 135.137 * [simplify]: Simplified to (- (+ (+ (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (* (log n) (* (* k k) (log (* 2 PI))))) (* (pow (* PI (* 2 n)) 1/4) 1/4)) (+ (* (* 1/8 (* (pow (* PI (* 2 n)) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (log n) k) (* (log n) k))) (* (pow (* PI (* 2 n)) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4))))) (* (* 1/8 (pow (* PI (* 2 n)) 1/4)) (* (* (* k k) (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (+ (log n) (log (* 2 PI))) 1/4))))) (* (* 1/2 (pow (* PI (* 2 n)) 1/4)) (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (* k (log (* 2 PI)))) (* (* (log n) k) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))))) 135.137 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (+ (+ (* (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (* (log n) (* (* k k) (log (* 2 PI))))) (* (pow (* PI (* 2 n)) 1/4) 1/4)) (+ (* (* 1/8 (* (pow (* PI (* 2 n)) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))) (* (* (log n) k) (* (log n) k))) (* (pow (* PI (* 2 n)) 1/4) (exp (* (+ (log n) (log (* 2 PI))) 1/4))))) (* (* 1/8 (pow (* PI (* 2 n)) 1/4)) (* (* (* k k) (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (+ (log n) (log (* 2 PI))) 1/4))))) (* (* 1/2 (pow (* PI (* 2 n)) 1/4)) (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/4)) (* k (log (* 2 PI)))) (* (* (log n) k) (exp (* (+ (log n) (log (* 2 PI))) 1/4)))))) (sqrt k))) 135.138 * * * * [progress]: [ 294 / 295 ] simplifiying candidate # 135.138 * [simplify]: Simplifying (* (exp (* -1/4 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 135.138 * * [simplify]: iters left: 6 (24 enodes) 135.146 * * [simplify]: iters left: 5 (108 enodes) 135.169 * * [simplify]: iters left: 4 (247 enodes) 135.260 * * [simplify]: Extracting #0: cost 1 inf + 0 135.260 * * [simplify]: Extracting #1: cost 15 inf + 0 135.261 * * [simplify]: Extracting #2: cost 98 inf + 0 135.262 * * [simplify]: Extracting #3: cost 224 inf + 145 135.267 * * [simplify]: Extracting #4: cost 204 inf + 11685 135.284 * * [simplify]: Extracting #5: cost 33 inf + 60880 135.300 * * [simplify]: Extracting #6: cost 0 inf + 75790 135.313 * * [simplify]: Extracting #7: cost 0 inf + 75310 135.336 * * [simplify]: Extracting #8: cost 0 inf + 75150 135.357 * [simplify]: Simplified to (exp (- (* (* 1/4 (- 1 k)) (+ (log n) (+ (log (* 2 PI)) (log (* 2 PI))))) (* -1/4 (* (log n) (- 1 k))))) 135.357 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (- (* (* 1/4 (- 1 k)) (+ (log n) (+ (log (* 2 PI)) (log (* 2 PI))))) (* -1/4 (* (log n) (- 1 k))))) (sqrt k))) 135.357 * * * * [progress]: [ 295 / 295 ] simplifiying candidate # 135.358 * [simplify]: Simplifying (* (exp (* 1/4 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))) 135.358 * * [simplify]: iters left: 6 (29 enodes) 135.366 * * [simplify]: iters left: 5 (123 enodes) 135.394 * * [simplify]: iters left: 4 (269 enodes) 135.538 * * [simplify]: Extracting #0: cost 1 inf + 0 135.539 * * [simplify]: Extracting #1: cost 15 inf + 0 135.543 * * [simplify]: Extracting #2: cost 99 inf + 0 135.545 * * [simplify]: Extracting #3: cost 271 inf + 72 135.547 * * [simplify]: Extracting #4: cost 324 inf + 983 135.551 * * [simplify]: Extracting #5: cost 249 inf + 13475 135.558 * * [simplify]: Extracting #6: cost 127 inf + 43291 135.573 * * [simplify]: Extracting #7: cost 15 inf + 98590 135.594 * * [simplify]: Extracting #8: cost 0 inf + 102233 135.628 * * [simplify]: Extracting #9: cost 0 inf + 101463 135.662 * [simplify]: Simplified to (exp (* (* (- 1 k) 1/4) (+ (- (log (* PI -2)) (- (log (/ -1 n)) (log (* PI 2)))) (+ 0 (log n))))) 135.662 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* (- 1 k) 1/4) (+ (- (log (* PI -2)) (- (log (/ -1 n)) (log (* PI 2)))) (+ 0 (log n))))) (sqrt k))) 135.663 * * * [progress]: adding candidates to table 139.958 * [progress]: [Phase 3 of 3] Extracting. 139.958 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 139.961 * * * [regime-changes]: Trying 2 branch expressions: (n k) 139.961 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 140.021 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 140.070 * * * [regime]: Found split indices: #