0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.237 * * * [progress]: [2/2] Setting up program. 0.244 * [progress]: [Phase 2 of 3] Improving. 0.244 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.244 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.245 * * [simplify]: iters left: 6 (13 enodes) 0.252 * * [simplify]: iters left: 5 (57 enodes) 0.293 * * [simplify]: iters left: 4 (96 enodes) 0.311 * * [simplify]: iters left: 3 (172 enodes) 0.348 * * [simplify]: iters left: 2 (338 enodes) 0.470 * * [simplify]: Extracting #0: cost 1 inf + 0 0.470 * * [simplify]: Extracting #1: cost 41 inf + 0 0.471 * * [simplify]: Extracting #2: cost 120 inf + 1 0.471 * * [simplify]: Extracting #3: cost 166 inf + 127 0.472 * * [simplify]: Extracting #4: cost 163 inf + 676 0.474 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.478 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.489 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.506 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.531 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.531 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.538 * * [progress]: iteration 1 / 4 0.538 * * * [progress]: picking best candidate 0.547 * * * * [pick]: Picked # 0.547 * * * [progress]: localizing error 0.571 * * * [progress]: generating rewritten candidates 0.571 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.589 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.603 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.622 * * * [progress]: generating series expansions 0.627 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.628 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.628 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.628 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.629 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.629 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.629 * [taylor]: Taking taylor expansion of 1/2 in k 0.629 * [backup-simplify]: Simplify 1/2 into 1/2 0.629 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.629 * [taylor]: Taking taylor expansion of 1 in k 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of k in k 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.629 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.629 * [taylor]: Taking taylor expansion of 2 in k 0.629 * [backup-simplify]: Simplify 2 into 2 0.629 * [taylor]: Taking taylor expansion of (* n PI) in k 0.629 * [taylor]: Taking taylor expansion of n in k 0.629 * [backup-simplify]: Simplify n into n 0.629 * [taylor]: Taking taylor expansion of PI in k 0.629 * [backup-simplify]: Simplify PI into PI 0.629 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.629 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.630 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (+ 1 0) into 1 0.631 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.632 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.632 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.632 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.632 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.632 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.632 * [taylor]: Taking taylor expansion of 1/2 in n 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.632 * [taylor]: Taking taylor expansion of 1 in n 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of k in n 0.632 * [backup-simplify]: Simplify k into k 0.632 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.632 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.632 * [taylor]: Taking taylor expansion of 2 in n 0.632 * [backup-simplify]: Simplify 2 into 2 0.632 * [taylor]: Taking taylor expansion of (* n PI) in n 0.632 * [taylor]: Taking taylor expansion of n in n 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of PI in n 0.632 * [backup-simplify]: Simplify PI into PI 0.633 * [backup-simplify]: Simplify (* 0 PI) into 0 0.633 * [backup-simplify]: Simplify (* 2 0) into 0 0.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.636 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.637 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.637 * [backup-simplify]: Simplify (- k) into (- k) 0.637 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.638 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.640 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.641 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.641 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.641 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.641 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.641 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.641 * [taylor]: Taking taylor expansion of 1/2 in n 0.641 * [backup-simplify]: Simplify 1/2 into 1/2 0.641 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.642 * [taylor]: Taking taylor expansion of 1 in n 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [taylor]: Taking taylor expansion of k in n 0.642 * [backup-simplify]: Simplify k into k 0.642 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.642 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.642 * [taylor]: Taking taylor expansion of 2 in n 0.642 * [backup-simplify]: Simplify 2 into 2 0.642 * [taylor]: Taking taylor expansion of (* n PI) in n 0.642 * [taylor]: Taking taylor expansion of n in n 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [taylor]: Taking taylor expansion of PI in n 0.642 * [backup-simplify]: Simplify PI into PI 0.642 * [backup-simplify]: Simplify (* 0 PI) into 0 0.643 * [backup-simplify]: Simplify (* 2 0) into 0 0.644 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.646 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.647 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.647 * [backup-simplify]: Simplify (- k) into (- k) 0.647 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.647 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.650 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.651 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.651 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.651 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.651 * [taylor]: Taking taylor expansion of 1/2 in k 0.651 * [backup-simplify]: Simplify 1/2 into 1/2 0.651 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.651 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.651 * [taylor]: Taking taylor expansion of 1 in k 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of k in k 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.651 * [taylor]: Taking taylor expansion of (log n) in k 0.651 * [taylor]: Taking taylor expansion of n in k 0.651 * [backup-simplify]: Simplify n into n 0.652 * [backup-simplify]: Simplify (log n) into (log n) 0.652 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.652 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.652 * [taylor]: Taking taylor expansion of 2 in k 0.652 * [backup-simplify]: Simplify 2 into 2 0.652 * [taylor]: Taking taylor expansion of PI in k 0.652 * [backup-simplify]: Simplify PI into PI 0.652 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.653 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.654 * [backup-simplify]: Simplify (- 0) into 0 0.654 * [backup-simplify]: Simplify (+ 1 0) into 1 0.655 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.656 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.657 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.658 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.659 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.663 * [backup-simplify]: Simplify (- 0) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.665 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.665 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.666 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.666 * [taylor]: Taking taylor expansion of 0 in k 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.667 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (- 1) into -1 0.669 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.671 * [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))))) 0.673 * [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))))))) 0.675 * [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))))))) 0.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.678 * [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 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.681 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.683 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.683 * [taylor]: Taking taylor expansion of 0 in k 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.686 * [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 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.691 * [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))))) 0.695 * [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))))) 0.704 * [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))))) 0.705 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.705 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.705 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.705 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.705 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.705 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.706 * [taylor]: Taking taylor expansion of 1/2 in k 0.706 * [backup-simplify]: Simplify 1/2 into 1/2 0.706 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.706 * [taylor]: Taking taylor expansion of 1 in k 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.706 * [taylor]: Taking taylor expansion of k in k 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.706 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.706 * [taylor]: Taking taylor expansion of 2 in k 0.706 * [backup-simplify]: Simplify 2 into 2 0.706 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.706 * [taylor]: Taking taylor expansion of PI in k 0.706 * [backup-simplify]: Simplify PI into PI 0.706 * [taylor]: Taking taylor expansion of n in k 0.706 * [backup-simplify]: Simplify n into n 0.706 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.706 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.706 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.706 * [backup-simplify]: Simplify (- 1) into -1 0.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.707 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.707 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.707 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.707 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.707 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.707 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.707 * [taylor]: Taking taylor expansion of 1/2 in n 0.707 * [backup-simplify]: Simplify 1/2 into 1/2 0.707 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.707 * [taylor]: Taking taylor expansion of 1 in n 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.707 * [backup-simplify]: Simplify k into k 0.708 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.708 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.708 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.708 * [taylor]: Taking taylor expansion of 2 in n 0.708 * [backup-simplify]: Simplify 2 into 2 0.708 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.708 * [taylor]: Taking taylor expansion of PI in n 0.708 * [backup-simplify]: Simplify PI into PI 0.708 * [taylor]: Taking taylor expansion of n in n 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ PI 1) into PI 0.708 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.709 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.709 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.709 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.709 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.710 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.711 * [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))))) 0.711 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.711 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.711 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.711 * [taylor]: Taking taylor expansion of 1/2 in n 0.711 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.711 * [taylor]: Taking taylor expansion of 1 in n 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.711 * [taylor]: Taking taylor expansion of k in n 0.711 * [backup-simplify]: Simplify k into k 0.711 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.711 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.711 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.711 * [taylor]: Taking taylor expansion of 2 in n 0.712 * [backup-simplify]: Simplify 2 into 2 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [backup-simplify]: Simplify PI into PI 0.712 * [taylor]: Taking taylor expansion of n in n 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ PI 1) into PI 0.712 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.713 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.713 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.713 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.713 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.714 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.715 * [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))))) 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.715 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.715 * [taylor]: Taking taylor expansion of 1/2 in k 0.715 * [backup-simplify]: Simplify 1/2 into 1/2 0.715 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.715 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.715 * [taylor]: Taking taylor expansion of 1 in k 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (/ 1 1) into 1 0.716 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.716 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.716 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.716 * [taylor]: Taking taylor expansion of 2 in k 0.716 * [backup-simplify]: Simplify 2 into 2 0.716 * [taylor]: Taking taylor expansion of PI in k 0.716 * [backup-simplify]: Simplify PI into PI 0.716 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.717 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.717 * [taylor]: Taking taylor expansion of (log n) in k 0.717 * [taylor]: Taking taylor expansion of n in k 0.717 * [backup-simplify]: Simplify n into n 0.717 * [backup-simplify]: Simplify (log n) into (log n) 0.717 * [backup-simplify]: Simplify (- 1) into -1 0.717 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.717 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.718 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.718 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.719 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.720 * [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))))) 0.721 * [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))))) 0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.725 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.726 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.726 * [taylor]: Taking taylor expansion of 0 in k 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.729 * [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 0.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.735 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.736 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.736 * [taylor]: Taking taylor expansion of 0 in k 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.740 * [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 0.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.744 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.745 * [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 0.745 * [taylor]: Taking taylor expansion of 0 in k 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [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)))))) 0.747 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.747 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.747 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.747 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.747 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.747 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.747 * [taylor]: Taking taylor expansion of 1/2 in k 0.747 * [backup-simplify]: Simplify 1/2 into 1/2 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.747 * [taylor]: Taking taylor expansion of k in k 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.747 * [taylor]: Taking taylor expansion of 1 in k 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.747 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.747 * [taylor]: Taking taylor expansion of -2 in k 0.747 * [backup-simplify]: Simplify -2 into -2 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.747 * [taylor]: Taking taylor expansion of PI in k 0.747 * [backup-simplify]: Simplify PI into PI 0.747 * [taylor]: Taking taylor expansion of n in k 0.747 * [backup-simplify]: Simplify n into n 0.747 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.747 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.747 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.748 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.748 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.748 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.748 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.748 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.748 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.748 * [taylor]: Taking taylor expansion of 1/2 in n 0.748 * [backup-simplify]: Simplify 1/2 into 1/2 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.748 * [taylor]: Taking taylor expansion of k in n 0.748 * [backup-simplify]: Simplify k into k 0.748 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.748 * [taylor]: Taking taylor expansion of 1 in n 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.748 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.749 * [taylor]: Taking taylor expansion of -2 in n 0.749 * [backup-simplify]: Simplify -2 into -2 0.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.749 * [taylor]: Taking taylor expansion of PI in n 0.749 * [backup-simplify]: Simplify PI into PI 0.749 * [taylor]: Taking taylor expansion of n in n 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ PI 1) into PI 0.749 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.750 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.750 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.750 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.751 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.751 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.752 * [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))))) 0.752 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.752 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.752 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.752 * [taylor]: Taking taylor expansion of 1/2 in n 0.752 * [backup-simplify]: Simplify 1/2 into 1/2 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.752 * [taylor]: Taking taylor expansion of k in n 0.752 * [backup-simplify]: Simplify k into k 0.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.752 * [taylor]: Taking taylor expansion of 1 in n 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.752 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.752 * [taylor]: Taking taylor expansion of -2 in n 0.752 * [backup-simplify]: Simplify -2 into -2 0.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.752 * [taylor]: Taking taylor expansion of PI in n 0.752 * [backup-simplify]: Simplify PI into PI 0.752 * [taylor]: Taking taylor expansion of n in n 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ PI 1) into PI 0.753 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.754 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.754 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.754 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.755 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.756 * [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))))) 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.756 * [taylor]: Taking taylor expansion of 1/2 in k 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.756 * [taylor]: Taking taylor expansion of k in k 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (/ 1 1) into 1 0.756 * [taylor]: Taking taylor expansion of 1 in k 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.757 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.757 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.757 * [taylor]: Taking taylor expansion of -2 in k 0.757 * [backup-simplify]: Simplify -2 into -2 0.757 * [taylor]: Taking taylor expansion of PI in k 0.757 * [backup-simplify]: Simplify PI into PI 0.757 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.757 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.757 * [taylor]: Taking taylor expansion of (log n) in k 0.758 * [taylor]: Taking taylor expansion of n in k 0.758 * [backup-simplify]: Simplify n into n 0.758 * [backup-simplify]: Simplify (log n) into (log n) 0.758 * [backup-simplify]: Simplify (+ 1 0) into 1 0.758 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.758 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.759 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.760 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.761 * [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))))) 0.761 * [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))))) 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.765 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.766 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.766 * [taylor]: Taking taylor expansion of 0 in k 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.770 * [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 0.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.772 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.774 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.774 * [taylor]: Taking taylor expansion of 0 in k 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.778 * [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 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.781 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.783 * [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 0.783 * [taylor]: Taking taylor expansion of 0 in k 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [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)))))) 0.784 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.784 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.784 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.784 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.784 * [taylor]: Taking taylor expansion of 2 in n 0.784 * [backup-simplify]: Simplify 2 into 2 0.784 * [taylor]: Taking taylor expansion of (* n PI) in n 0.784 * [taylor]: Taking taylor expansion of n in n 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [taylor]: Taking taylor expansion of PI in n 0.784 * [backup-simplify]: Simplify PI into PI 0.784 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.784 * [taylor]: Taking taylor expansion of 2 in n 0.784 * [backup-simplify]: Simplify 2 into 2 0.784 * [taylor]: Taking taylor expansion of (* n PI) in n 0.784 * [taylor]: Taking taylor expansion of n in n 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [taylor]: Taking taylor expansion of PI in n 0.784 * [backup-simplify]: Simplify PI into PI 0.785 * [backup-simplify]: Simplify (* 0 PI) into 0 0.785 * [backup-simplify]: Simplify (* 2 0) into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.787 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.787 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.797 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.797 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.797 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.797 * [taylor]: Taking taylor expansion of 2 in n 0.797 * [backup-simplify]: Simplify 2 into 2 0.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.797 * [taylor]: Taking taylor expansion of PI in n 0.797 * [backup-simplify]: Simplify PI into PI 0.797 * [taylor]: Taking taylor expansion of n in n 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ PI 1) into PI 0.798 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.798 * [taylor]: Taking taylor expansion of 2 in n 0.798 * [backup-simplify]: Simplify 2 into 2 0.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.798 * [taylor]: Taking taylor expansion of PI in n 0.798 * [backup-simplify]: Simplify PI into PI 0.798 * [taylor]: Taking taylor expansion of n in n 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ PI 1) into PI 0.798 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.799 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [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 0.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.807 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.807 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.807 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.807 * [taylor]: Taking taylor expansion of -2 in n 0.807 * [backup-simplify]: Simplify -2 into -2 0.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.807 * [taylor]: Taking taylor expansion of PI in n 0.807 * [backup-simplify]: Simplify PI into PI 0.807 * [taylor]: Taking taylor expansion of n in n 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (/ PI 1) into PI 0.808 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.808 * [taylor]: Taking taylor expansion of -2 in n 0.808 * [backup-simplify]: Simplify -2 into -2 0.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.808 * [taylor]: Taking taylor expansion of PI in n 0.808 * [backup-simplify]: Simplify PI into PI 0.808 * [taylor]: Taking taylor expansion of n in n 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (/ PI 1) into PI 0.808 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.809 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [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 0.818 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.819 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.819 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.819 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.819 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.819 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.819 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.819 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.820 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.820 * [taylor]: Taking taylor expansion of 1/2 in k 0.820 * [backup-simplify]: Simplify 1/2 into 1/2 0.820 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.820 * [taylor]: Taking taylor expansion of 1 in k 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of k in k 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.820 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.820 * [taylor]: Taking taylor expansion of 2 in k 0.820 * [backup-simplify]: Simplify 2 into 2 0.820 * [taylor]: Taking taylor expansion of (* n PI) in k 0.820 * [taylor]: Taking taylor expansion of n in k 0.820 * [backup-simplify]: Simplify n into n 0.820 * [taylor]: Taking taylor expansion of PI in k 0.820 * [backup-simplify]: Simplify PI into PI 0.820 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.820 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.820 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.820 * [backup-simplify]: Simplify (- 0) into 0 0.820 * [backup-simplify]: Simplify (+ 1 0) into 1 0.821 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.821 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.821 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.821 * [taylor]: Taking taylor expansion of k in k 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [backup-simplify]: Simplify (sqrt 0) into 0 0.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.823 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.823 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.823 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.823 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.823 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.823 * [taylor]: Taking taylor expansion of 1/2 in n 0.823 * [backup-simplify]: Simplify 1/2 into 1/2 0.823 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.823 * [taylor]: Taking taylor expansion of 1 in n 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [taylor]: Taking taylor expansion of k in n 0.823 * [backup-simplify]: Simplify k into k 0.823 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.823 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.823 * [taylor]: Taking taylor expansion of 2 in n 0.823 * [backup-simplify]: Simplify 2 into 2 0.823 * [taylor]: Taking taylor expansion of (* n PI) in n 0.823 * [taylor]: Taking taylor expansion of n in n 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [taylor]: Taking taylor expansion of PI in n 0.823 * [backup-simplify]: Simplify PI into PI 0.823 * [backup-simplify]: Simplify (* 0 PI) into 0 0.824 * [backup-simplify]: Simplify (* 2 0) into 0 0.824 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.825 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.826 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.826 * [backup-simplify]: Simplify (- k) into (- k) 0.826 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.826 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.828 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.828 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.828 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.828 * [taylor]: Taking taylor expansion of k in n 0.828 * [backup-simplify]: Simplify k into k 0.828 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.828 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.829 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.829 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.829 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.829 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.829 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.829 * [taylor]: Taking taylor expansion of 1/2 in n 0.829 * [backup-simplify]: Simplify 1/2 into 1/2 0.829 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.829 * [taylor]: Taking taylor expansion of 1 in n 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [taylor]: Taking taylor expansion of k in n 0.829 * [backup-simplify]: Simplify k into k 0.829 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.829 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.829 * [taylor]: Taking taylor expansion of 2 in n 0.829 * [backup-simplify]: Simplify 2 into 2 0.829 * [taylor]: Taking taylor expansion of (* n PI) in n 0.829 * [taylor]: Taking taylor expansion of n in n 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [taylor]: Taking taylor expansion of PI in n 0.829 * [backup-simplify]: Simplify PI into PI 0.829 * [backup-simplify]: Simplify (* 0 PI) into 0 0.830 * [backup-simplify]: Simplify (* 2 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.831 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.832 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.832 * [backup-simplify]: Simplify (- k) into (- k) 0.832 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.832 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.833 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.834 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.834 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.834 * [taylor]: Taking taylor expansion of k in n 0.834 * [backup-simplify]: Simplify k into k 0.834 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.834 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.835 * [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))) 0.835 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.835 * [taylor]: Taking taylor expansion of 1/2 in k 0.835 * [backup-simplify]: Simplify 1/2 into 1/2 0.835 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.835 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.835 * [taylor]: Taking taylor expansion of 1 in k 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of k in k 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.835 * [taylor]: Taking taylor expansion of (log n) in k 0.836 * [taylor]: Taking taylor expansion of n in k 0.836 * [backup-simplify]: Simplify n into n 0.836 * [backup-simplify]: Simplify (log n) into (log n) 0.836 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.836 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.836 * [taylor]: Taking taylor expansion of 2 in k 0.836 * [backup-simplify]: Simplify 2 into 2 0.836 * [taylor]: Taking taylor expansion of PI in k 0.836 * [backup-simplify]: Simplify PI into PI 0.836 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.837 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 1 0) into 1 0.838 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.838 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.839 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.840 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.840 * [taylor]: Taking taylor expansion of k in k 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [backup-simplify]: Simplify (sqrt 0) into 0 0.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.842 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.845 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.846 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.847 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in k 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.849 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (- 1) into -1 0.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.853 * [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))))) 0.854 * [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))))))) 0.857 * [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))))))) 0.857 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.861 * [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 0.861 * [backup-simplify]: Simplify (- 0) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.863 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.865 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.866 * [taylor]: Taking taylor expansion of 0 in k 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.871 * [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 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.877 * [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))))) 0.882 * [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)))))))) 0.885 * [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)))))))) 0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.890 * [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 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.892 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.893 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.895 * [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 0.896 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.896 * [taylor]: Taking taylor expansion of 0 in k 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.902 * [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 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.906 * [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 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.914 * [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))))))) 0.927 * [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)))))))))))))) 0.934 * [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)))))))))))))) 0.944 * [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)))))))))))))))))))))) 0.945 * [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)) 0.945 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 0.945 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 0.945 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.945 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.945 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.945 * [taylor]: Taking taylor expansion of 1/2 in k 0.945 * [backup-simplify]: Simplify 1/2 into 1/2 0.945 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.945 * [taylor]: Taking taylor expansion of 1 in k 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (/ 1 1) into 1 0.945 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.945 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.945 * [taylor]: Taking taylor expansion of 2 in k 0.945 * [backup-simplify]: Simplify 2 into 2 0.945 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.945 * [taylor]: Taking taylor expansion of PI in k 0.945 * [backup-simplify]: Simplify PI into PI 0.945 * [taylor]: Taking taylor expansion of n in k 0.945 * [backup-simplify]: Simplify n into n 0.945 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.945 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.945 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.946 * [backup-simplify]: Simplify (- 1) into -1 0.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.946 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.946 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.946 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.946 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.946 * [taylor]: Taking taylor expansion of k in k 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (sqrt 0) into 0 0.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.948 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 0.948 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.948 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.948 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.948 * [taylor]: Taking taylor expansion of 1/2 in n 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.948 * [taylor]: Taking taylor expansion of 1 in n 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.948 * [taylor]: Taking taylor expansion of k in n 0.948 * [backup-simplify]: Simplify k into k 0.948 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.948 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.948 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.948 * [taylor]: Taking taylor expansion of 2 in n 0.948 * [backup-simplify]: Simplify 2 into 2 0.948 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.948 * [taylor]: Taking taylor expansion of PI in n 0.948 * [backup-simplify]: Simplify PI into PI 0.948 * [taylor]: Taking taylor expansion of n in n 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ PI 1) into PI 0.949 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.949 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.949 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.949 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.949 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.950 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.951 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.951 * [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))))) 0.951 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.952 * [taylor]: Taking taylor expansion of k in n 0.952 * [backup-simplify]: Simplify k into k 0.952 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.952 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 0.952 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.952 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.952 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.952 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.952 * [taylor]: Taking taylor expansion of 1/2 in n 0.952 * [backup-simplify]: Simplify 1/2 into 1/2 0.952 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.952 * [taylor]: Taking taylor expansion of 1 in n 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.952 * [taylor]: Taking taylor expansion of k in n 0.952 * [backup-simplify]: Simplify k into k 0.952 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.952 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.952 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.952 * [taylor]: Taking taylor expansion of 2 in n 0.952 * [backup-simplify]: Simplify 2 into 2 0.952 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.952 * [taylor]: Taking taylor expansion of PI in n 0.952 * [backup-simplify]: Simplify PI into PI 0.952 * [taylor]: Taking taylor expansion of n in n 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (/ PI 1) into PI 0.953 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.953 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.953 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.953 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.953 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.954 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.955 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.956 * [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))))) 0.956 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.956 * [taylor]: Taking taylor expansion of k in n 0.956 * [backup-simplify]: Simplify k into k 0.956 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.956 * [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)) 0.957 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.957 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.957 * [taylor]: Taking taylor expansion of 1/2 in k 0.957 * [backup-simplify]: Simplify 1/2 into 1/2 0.957 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.957 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.957 * [taylor]: Taking taylor expansion of 1 in k 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.957 * [taylor]: Taking taylor expansion of k in k 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (/ 1 1) into 1 0.957 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.957 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.957 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.957 * [taylor]: Taking taylor expansion of 2 in k 0.957 * [backup-simplify]: Simplify 2 into 2 0.957 * [taylor]: Taking taylor expansion of PI in k 0.957 * [backup-simplify]: Simplify PI into PI 0.957 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.958 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.958 * [taylor]: Taking taylor expansion of (log n) in k 0.958 * [taylor]: Taking taylor expansion of n in k 0.958 * [backup-simplify]: Simplify n into n 0.958 * [backup-simplify]: Simplify (log n) into (log n) 0.958 * [backup-simplify]: Simplify (- 1) into -1 0.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.959 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.959 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.960 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.960 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.961 * [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))))) 0.961 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.961 * [taylor]: Taking taylor expansion of k in k 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (sqrt 0) into 0 0.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.963 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.965 * [backup-simplify]: Simplify (- 0) into 0 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.967 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.968 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.969 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 0.969 * [taylor]: Taking taylor expansion of 0 in k 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.970 * [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))))))) 0.972 * [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))))))) 0.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 0.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.978 * [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 0.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.978 * [backup-simplify]: Simplify (- 0) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.983 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.985 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 0.987 * [taylor]: Taking taylor expansion of 0 in k 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.992 * [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))))))) 0.993 * [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))))))) 0.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.005 * [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 1.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.009 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.010 * [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 1.011 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.011 * [taylor]: Taking taylor expansion of 0 in k 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.015 * [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))))))) 1.016 * [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))))))) 1.018 * [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)))))))) 1.018 * [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))) 1.019 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.019 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.019 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.019 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.019 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.019 * [taylor]: Taking taylor expansion of 1/2 in k 1.019 * [backup-simplify]: Simplify 1/2 into 1/2 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.019 * [taylor]: Taking taylor expansion of k in k 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [taylor]: Taking taylor expansion of 1 in k 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.019 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.019 * [taylor]: Taking taylor expansion of -2 in k 1.019 * [backup-simplify]: Simplify -2 into -2 1.019 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.019 * [taylor]: Taking taylor expansion of PI in k 1.019 * [backup-simplify]: Simplify PI into PI 1.019 * [taylor]: Taking taylor expansion of n in k 1.019 * [backup-simplify]: Simplify n into n 1.019 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.019 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.019 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.020 * [backup-simplify]: Simplify (+ 1 0) into 1 1.020 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.020 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.020 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.020 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.020 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.020 * [taylor]: Taking taylor expansion of -1 in k 1.020 * [backup-simplify]: Simplify -1 into -1 1.020 * [taylor]: Taking taylor expansion of k in k 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (/ -1 1) into -1 1.021 * [backup-simplify]: Simplify (sqrt 0) into 0 1.021 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.022 * [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))))) 1.022 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.022 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.022 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.022 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.022 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.022 * [taylor]: Taking taylor expansion of 1/2 in n 1.022 * [backup-simplify]: Simplify 1/2 into 1/2 1.022 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.022 * [taylor]: Taking taylor expansion of k in n 1.022 * [backup-simplify]: Simplify k into k 1.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.022 * [taylor]: Taking taylor expansion of 1 in n 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.022 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.022 * [taylor]: Taking taylor expansion of -2 in n 1.022 * [backup-simplify]: Simplify -2 into -2 1.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.022 * [taylor]: Taking taylor expansion of PI in n 1.022 * [backup-simplify]: Simplify PI into PI 1.022 * [taylor]: Taking taylor expansion of n in n 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (/ PI 1) into PI 1.023 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.023 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.023 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.023 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.025 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.026 * [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))))) 1.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.026 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.026 * [taylor]: Taking taylor expansion of -1 in n 1.026 * [backup-simplify]: Simplify -1 into -1 1.026 * [taylor]: Taking taylor expansion of k in n 1.026 * [backup-simplify]: Simplify k into k 1.026 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.026 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.026 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.027 * [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))) 1.027 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.027 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.027 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.027 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.027 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.027 * [taylor]: Taking taylor expansion of 1/2 in n 1.027 * [backup-simplify]: Simplify 1/2 into 1/2 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.027 * [taylor]: Taking taylor expansion of k in n 1.027 * [backup-simplify]: Simplify k into k 1.027 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.027 * [taylor]: Taking taylor expansion of 1 in n 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.027 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.027 * [taylor]: Taking taylor expansion of -2 in n 1.027 * [backup-simplify]: Simplify -2 into -2 1.027 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.027 * [taylor]: Taking taylor expansion of PI in n 1.027 * [backup-simplify]: Simplify PI into PI 1.027 * [taylor]: Taking taylor expansion of n in n 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ PI 1) into PI 1.028 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.028 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.028 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.028 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.030 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.030 * [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))))) 1.030 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.030 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.030 * [taylor]: Taking taylor expansion of -1 in n 1.030 * [backup-simplify]: Simplify -1 into -1 1.031 * [taylor]: Taking taylor expansion of k in n 1.031 * [backup-simplify]: Simplify k into k 1.031 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.031 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.031 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.031 * [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))) 1.032 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.032 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.032 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.032 * [taylor]: Taking taylor expansion of 1/2 in k 1.032 * [backup-simplify]: Simplify 1/2 into 1/2 1.032 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.032 * [taylor]: Taking taylor expansion of k in k 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [taylor]: Taking taylor expansion of 1 in k 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.032 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.032 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.032 * [taylor]: Taking taylor expansion of -2 in k 1.032 * [backup-simplify]: Simplify -2 into -2 1.032 * [taylor]: Taking taylor expansion of PI in k 1.032 * [backup-simplify]: Simplify PI into PI 1.032 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.033 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.033 * [taylor]: Taking taylor expansion of (log n) in k 1.033 * [taylor]: Taking taylor expansion of n in k 1.033 * [backup-simplify]: Simplify n into n 1.033 * [backup-simplify]: Simplify (log n) into (log n) 1.033 * [backup-simplify]: Simplify (+ 1 0) into 1 1.033 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.034 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.035 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.035 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.036 * [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))))) 1.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.036 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.036 * [taylor]: Taking taylor expansion of -1 in k 1.036 * [backup-simplify]: Simplify -1 into -1 1.036 * [taylor]: Taking taylor expansion of k in k 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (/ -1 1) into -1 1.037 * [backup-simplify]: Simplify (sqrt 0) into 0 1.037 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.038 * [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)))))) 1.039 * [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)))))) 1.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.043 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.045 * [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 1.045 * [taylor]: Taking taylor expansion of 0 in k 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.049 * [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))))))) 1.049 * [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))))))) 1.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.053 * [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 1.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.055 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.057 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.058 * [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 1.058 * [taylor]: Taking taylor expansion of 0 in k 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.063 * [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))))))) 1.064 * [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))))))) 1.066 * [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)))))))))))) 1.067 * * * [progress]: simplifying candidates 1.067 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.067 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.067 * * [simplify]: iters left: 6 (13 enodes) 1.071 * * [simplify]: iters left: 5 (54 enodes) 1.086 * * [simplify]: iters left: 4 (97 enodes) 1.110 * * [simplify]: iters left: 3 (242 enodes) 1.188 * * [simplify]: Extracting #0: cost 1 inf + 0 1.188 * * [simplify]: Extracting #1: cost 28 inf + 0 1.189 * * [simplify]: Extracting #2: cost 93 inf + 2 1.189 * * [simplify]: Extracting #3: cost 139 inf + 75 1.190 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.195 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.202 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.211 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.211 * [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))) 1.211 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.212 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.212 * * [simplify]: iters left: 6 (12 enodes) 1.219 * * [simplify]: iters left: 5 (52 enodes) 1.235 * * [simplify]: iters left: 4 (90 enodes) 1.251 * * [simplify]: iters left: 3 (201 enodes) 1.671 * * [simplify]: iters left: 2 (496 enodes) 1.937 * * [simplify]: Extracting #0: cost 1 inf + 0 1.937 * * [simplify]: Extracting #1: cost 22 inf + 0 1.937 * * [simplify]: Extracting #2: cost 122 inf + 2 1.938 * * [simplify]: Extracting #3: cost 296 inf + 186 1.940 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.954 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.970 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.987 * * [simplify]: Extracting #7: cost 0 inf + 82436 2.013 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 2.014 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 2.014 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 2.014 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 2.014 * * [simplify]: iters left: 6 (11 enodes) 2.021 * * [simplify]: iters left: 5 (51 enodes) 2.038 * * [simplify]: iters left: 4 (97 enodes) 2.066 * * [simplify]: iters left: 3 (197 enodes) 2.110 * * [simplify]: iters left: 2 (491 enodes) 2.403 * * [simplify]: Extracting #0: cost 1 inf + 0 2.403 * * [simplify]: Extracting #1: cost 27 inf + 0 2.404 * * [simplify]: Extracting #2: cost 139 inf + 2 2.405 * * [simplify]: Extracting #3: cost 300 inf + 382 2.407 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.417 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.435 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.459 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.490 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.490 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.491 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.491 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.491 * [simplify]: Simplifying (* n (* 2 PI)) 2.491 * * [simplify]: iters left: 4 (5 enodes) 2.494 * * [simplify]: iters left: 3 (19 enodes) 2.500 * * [simplify]: iters left: 2 (27 enodes) 2.507 * * [simplify]: iters left: 1 (32 enodes) 2.511 * * [simplify]: Extracting #0: cost 1 inf + 0 2.511 * * [simplify]: Extracting #1: cost 8 inf + 0 2.511 * * [simplify]: Extracting #2: cost 7 inf + 45 2.512 * * [simplify]: Extracting #3: cost 0 inf + 421 2.512 * [simplify]: Simplified to (* (* PI 2) n) 2.512 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.512 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.512 * [simplify]: Simplifying (* n (* 2 PI)) 2.512 * * [simplify]: iters left: 4 (5 enodes) 2.513 * * [simplify]: iters left: 3 (19 enodes) 2.516 * * [simplify]: iters left: 2 (27 enodes) 2.520 * * [simplify]: iters left: 1 (32 enodes) 2.524 * * [simplify]: Extracting #0: cost 1 inf + 0 2.524 * * [simplify]: Extracting #1: cost 8 inf + 0 2.524 * * [simplify]: Extracting #2: cost 7 inf + 45 2.524 * * [simplify]: Extracting #3: cost 0 inf + 421 2.524 * [simplify]: Simplified to (* (* PI 2) n) 2.524 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.525 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.525 * [simplify]: Simplifying (* n (* 2 PI)) 2.525 * * [simplify]: iters left: 4 (5 enodes) 2.526 * * [simplify]: iters left: 3 (19 enodes) 2.529 * * [simplify]: iters left: 2 (27 enodes) 2.533 * * [simplify]: iters left: 1 (32 enodes) 2.541 * * [simplify]: Extracting #0: cost 1 inf + 0 2.541 * * [simplify]: Extracting #1: cost 8 inf + 0 2.541 * * [simplify]: Extracting #2: cost 7 inf + 45 2.542 * * [simplify]: Extracting #3: cost 0 inf + 421 2.542 * [simplify]: Simplified to (* (* PI 2) n) 2.542 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.542 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.542 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.543 * * [simplify]: iters left: 5 (8 enodes) 2.547 * * [simplify]: iters left: 4 (31 enodes) 2.557 * * [simplify]: iters left: 3 (51 enodes) 2.576 * * [simplify]: iters left: 2 (85 enodes) 2.605 * * [simplify]: iters left: 1 (152 enodes) 2.650 * * [simplify]: Extracting #0: cost 1 inf + 0 2.650 * * [simplify]: Extracting #1: cost 13 inf + 0 2.651 * * [simplify]: Extracting #2: cost 59 inf + 1 2.651 * * [simplify]: Extracting #3: cost 76 inf + 9 2.651 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.653 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.656 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.658 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.661 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.661 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.661 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.662 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.662 * * [simplify]: iters left: 5 (6 enodes) 2.664 * * [simplify]: iters left: 4 (26 enodes) 2.671 * * [simplify]: iters left: 3 (35 enodes) 2.681 * * [simplify]: Extracting #0: cost 1 inf + 0 2.681 * * [simplify]: Extracting #1: cost 3 inf + 0 2.681 * * [simplify]: Extracting #2: cost 8 inf + 0 2.681 * * [simplify]: Extracting #3: cost 11 inf + 2 2.682 * * [simplify]: Extracting #4: cost 8 inf + 87 2.682 * * [simplify]: Extracting #5: cost 2 inf + 500 2.682 * * [simplify]: Extracting #6: cost 0 inf + 746 2.685 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.685 * [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))) 2.685 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.686 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.686 * * [simplify]: iters left: 5 (6 enodes) 2.690 * * [simplify]: iters left: 4 (26 enodes) 2.699 * * [simplify]: iters left: 3 (35 enodes) 2.709 * * [simplify]: Extracting #0: cost 1 inf + 0 2.709 * * [simplify]: Extracting #1: cost 3 inf + 0 2.709 * * [simplify]: Extracting #2: cost 8 inf + 0 2.709 * * [simplify]: Extracting #3: cost 11 inf + 2 2.709 * * [simplify]: Extracting #4: cost 8 inf + 87 2.710 * * [simplify]: Extracting #5: cost 2 inf + 460 2.710 * * [simplify]: Extracting #6: cost 0 inf + 666 2.710 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.710 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.710 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.711 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.711 * * [simplify]: iters left: 5 (7 enodes) 2.715 * * [simplify]: iters left: 4 (25 enodes) 2.724 * * [simplify]: iters left: 3 (30 enodes) 2.733 * * [simplify]: Extracting #0: cost 1 inf + 0 2.734 * * [simplify]: Extracting #1: cost 4 inf + 0 2.734 * * [simplify]: Extracting #2: cost 8 inf + 0 2.734 * * [simplify]: Extracting #3: cost 10 inf + 82 2.734 * * [simplify]: Extracting #4: cost 7 inf + 206 2.734 * * [simplify]: Extracting #5: cost 2 inf + 575 2.734 * * [simplify]: Extracting #6: cost 1 inf + 818 2.735 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.735 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.735 * [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))) 2.735 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.736 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.736 * * [simplify]: iters left: 5 (7 enodes) 2.740 * * [simplify]: iters left: 4 (25 enodes) 2.745 * * [simplify]: iters left: 3 (30 enodes) 2.750 * * [simplify]: Extracting #0: cost 1 inf + 0 2.750 * * [simplify]: Extracting #1: cost 4 inf + 0 2.750 * * [simplify]: Extracting #2: cost 8 inf + 0 2.750 * * [simplify]: Extracting #3: cost 10 inf + 42 2.750 * * [simplify]: Extracting #4: cost 7 inf + 126 2.750 * * [simplify]: Extracting #5: cost 2 inf + 495 2.751 * * [simplify]: Extracting #6: cost 1 inf + 698 2.751 * * [simplify]: Extracting #7: cost 0 inf + 901 2.751 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.751 * [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))) 2.751 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.751 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.751 * * [simplify]: iters left: 5 (6 enodes) 2.753 * * [simplify]: iters left: 4 (22 enodes) 2.757 * * [simplify]: iters left: 3 (27 enodes) 2.761 * * [simplify]: Extracting #0: cost 1 inf + 0 2.761 * * [simplify]: Extracting #1: cost 4 inf + 0 2.761 * * [simplify]: Extracting #2: cost 5 inf + 1 2.761 * * [simplify]: Extracting #3: cost 9 inf + 1 2.761 * * [simplify]: Extracting #4: cost 8 inf + 3 2.761 * * [simplify]: Extracting #5: cost 4 inf + 169 2.761 * * [simplify]: Extracting #6: cost 1 inf + 576 2.761 * * [simplify]: Extracting #7: cost 0 inf + 739 2.761 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.761 * [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))) 2.761 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.762 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.762 * * [simplify]: iters left: 5 (7 enodes) 2.764 * * [simplify]: iters left: 4 (25 enodes) 2.768 * * [simplify]: iters left: 3 (30 enodes) 2.775 * * [simplify]: Extracting #0: cost 1 inf + 0 2.776 * * [simplify]: Extracting #1: cost 4 inf + 0 2.776 * * [simplify]: Extracting #2: cost 8 inf + 0 2.776 * * [simplify]: Extracting #3: cost 10 inf + 82 2.776 * * [simplify]: Extracting #4: cost 7 inf + 206 2.776 * * [simplify]: Extracting #5: cost 2 inf + 495 2.776 * * [simplify]: Extracting #6: cost 1 inf + 698 2.777 * * [simplify]: Extracting #7: cost 0 inf + 901 2.777 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.777 * [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))) 2.777 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.778 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.778 * * [simplify]: iters left: 5 (7 enodes) 2.782 * * [simplify]: iters left: 4 (25 enodes) 2.790 * * [simplify]: iters left: 3 (30 enodes) 2.799 * * [simplify]: Extracting #0: cost 1 inf + 0 2.799 * * [simplify]: Extracting #1: cost 4 inf + 0 2.800 * * [simplify]: Extracting #2: cost 8 inf + 0 2.800 * * [simplify]: Extracting #3: cost 10 inf + 42 2.800 * * [simplify]: Extracting #4: cost 7 inf + 126 2.800 * * [simplify]: Extracting #5: cost 2 inf + 415 2.800 * * [simplify]: Extracting #6: cost 1 inf + 578 2.801 * * [simplify]: Extracting #7: cost 0 inf + 741 2.801 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.801 * [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))) 2.801 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.801 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.802 * * [simplify]: iters left: 5 (6 enodes) 2.805 * * [simplify]: iters left: 4 (22 enodes) 2.812 * * [simplify]: iters left: 3 (27 enodes) 2.823 * * [simplify]: Extracting #0: cost 1 inf + 0 2.823 * * [simplify]: Extracting #1: cost 4 inf + 0 2.823 * * [simplify]: Extracting #2: cost 5 inf + 1 2.823 * * [simplify]: Extracting #3: cost 9 inf + 1 2.823 * * [simplify]: Extracting #4: cost 8 inf + 3 2.823 * * [simplify]: Extracting #5: cost 4 inf + 169 2.823 * * [simplify]: Extracting #6: cost 1 inf + 456 2.824 * * [simplify]: Extracting #7: cost 0 inf + 579 2.824 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.824 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.824 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.825 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.825 * * [simplify]: iters left: 4 (6 enodes) 2.829 * * [simplify]: iters left: 3 (25 enodes) 2.836 * * [simplify]: iters left: 2 (36 enodes) 2.841 * * [simplify]: iters left: 1 (40 enodes) 2.848 * * [simplify]: Extracting #0: cost 1 inf + 0 2.848 * * [simplify]: Extracting #1: cost 7 inf + 0 2.848 * * [simplify]: Extracting #2: cost 16 inf + 0 2.848 * * [simplify]: Extracting #3: cost 13 inf + 44 2.848 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.849 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.849 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.849 * [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))) 2.849 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.849 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.849 * * [simplify]: iters left: 4 (6 enodes) 2.851 * * [simplify]: iters left: 3 (25 enodes) 2.856 * * [simplify]: iters left: 2 (36 enodes) 2.861 * * [simplify]: iters left: 1 (40 enodes) 2.871 * * [simplify]: Extracting #0: cost 1 inf + 0 2.871 * * [simplify]: Extracting #1: cost 7 inf + 0 2.872 * * [simplify]: Extracting #2: cost 16 inf + 0 2.872 * * [simplify]: Extracting #3: cost 13 inf + 44 2.872 * * [simplify]: Extracting #4: cost 3 inf + 823 2.872 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.872 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.872 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.872 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.873 * [simplify]: Simplifying (/ (- 1 k) 2) 2.873 * * [simplify]: iters left: 4 (5 enodes) 2.875 * * [simplify]: iters left: 3 (23 enodes) 2.879 * * [simplify]: iters left: 2 (32 enodes) 2.883 * * [simplify]: Extracting #0: cost 1 inf + 0 2.883 * * [simplify]: Extracting #1: cost 6 inf + 0 2.884 * * [simplify]: Extracting #2: cost 9 inf + 2 2.884 * * [simplify]: Extracting #3: cost 6 inf + 87 2.884 * * [simplify]: Extracting #4: cost 0 inf + 420 2.884 * [simplify]: Simplified to (/ (- 1 k) 2) 2.884 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.884 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.884 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.884 * * [simplify]: iters left: 5 (8 enodes) 2.887 * * [simplify]: iters left: 4 (31 enodes) 2.892 * * [simplify]: iters left: 3 (45 enodes) 2.898 * * [simplify]: iters left: 2 (51 enodes) 2.912 * * [simplify]: iters left: 1 (52 enodes) 2.928 * * [simplify]: Extracting #0: cost 1 inf + 0 2.928 * * [simplify]: Extracting #1: cost 8 inf + 0 2.928 * * [simplify]: Extracting #2: cost 18 inf + 0 2.928 * * [simplify]: Extracting #3: cost 19 inf + 2 2.929 * * [simplify]: Extracting #4: cost 9 inf + 977 2.929 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.930 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.931 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.931 * [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))) 2.931 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.931 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.931 * * [simplify]: iters left: 5 (8 enodes) 2.935 * * [simplify]: iters left: 4 (31 enodes) 2.940 * * [simplify]: iters left: 3 (45 enodes) 2.947 * * [simplify]: iters left: 2 (51 enodes) 2.954 * * [simplify]: iters left: 1 (52 enodes) 2.961 * * [simplify]: Extracting #0: cost 1 inf + 0 2.961 * * [simplify]: Extracting #1: cost 8 inf + 0 2.961 * * [simplify]: Extracting #2: cost 18 inf + 0 2.961 * * [simplify]: Extracting #3: cost 19 inf + 2 2.961 * * [simplify]: Extracting #4: cost 9 inf + 697 2.961 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.962 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.962 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.963 * [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))) 2.963 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.963 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.963 * * [simplify]: iters left: 5 (7 enodes) 2.968 * * [simplify]: iters left: 4 (29 enodes) 2.978 * * [simplify]: iters left: 3 (43 enodes) 2.988 * * [simplify]: iters left: 2 (47 enodes) 2.994 * * [simplify]: Extracting #0: cost 1 inf + 0 2.994 * * [simplify]: Extracting #1: cost 7 inf + 0 2.994 * * [simplify]: Extracting #2: cost 11 inf + 2 2.994 * * [simplify]: Extracting #3: cost 13 inf + 3 2.994 * * [simplify]: Extracting #4: cost 11 inf + 45 2.994 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.995 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.995 * [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))) 2.995 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.995 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.995 * * [simplify]: iters left: 5 (7 enodes) 2.997 * * [simplify]: iters left: 4 (28 enodes) 3.002 * * [simplify]: iters left: 3 (39 enodes) 3.007 * * [simplify]: iters left: 2 (43 enodes) 3.014 * * [simplify]: Extracting #0: cost 1 inf + 0 3.014 * * [simplify]: Extracting #1: cost 7 inf + 0 3.014 * * [simplify]: Extracting #2: cost 16 inf + 0 3.014 * * [simplify]: Extracting #3: cost 15 inf + 164 3.014 * * [simplify]: Extracting #4: cost 13 inf + 287 3.014 * * [simplify]: Extracting #5: cost 5 inf + 1180 3.015 * * [simplify]: Extracting #6: cost 0 inf + 1951 3.016 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 3.016 * [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))) 3.016 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 3.016 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 3.016 * * [simplify]: iters left: 5 (7 enodes) 3.020 * * [simplify]: iters left: 4 (28 enodes) 3.027 * * [simplify]: iters left: 3 (39 enodes) 3.033 * * [simplify]: iters left: 2 (43 enodes) 3.039 * * [simplify]: Extracting #0: cost 1 inf + 0 3.039 * * [simplify]: Extracting #1: cost 7 inf + 0 3.039 * * [simplify]: Extracting #2: cost 16 inf + 0 3.039 * * [simplify]: Extracting #3: cost 15 inf + 84 3.040 * * [simplify]: Extracting #4: cost 13 inf + 167 3.040 * * [simplify]: Extracting #5: cost 5 inf + 900 3.040 * * [simplify]: Extracting #6: cost 0 inf + 1551 3.040 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 3.040 * [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))) 3.040 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 3.041 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 3.041 * * [simplify]: iters left: 5 (6 enodes) 3.043 * * [simplify]: iters left: 4 (26 enodes) 3.047 * * [simplify]: iters left: 3 (35 enodes) 3.052 * * [simplify]: Extracting #0: cost 1 inf + 0 3.053 * * [simplify]: Extracting #1: cost 6 inf + 0 3.053 * * [simplify]: Extracting #2: cost 9 inf + 2 3.053 * * [simplify]: Extracting #3: cost 11 inf + 3 3.053 * * [simplify]: Extracting #4: cost 10 inf + 4 3.053 * * [simplify]: Extracting #5: cost 3 inf + 535 3.053 * * [simplify]: Extracting #6: cost 0 inf + 822 3.053 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 3.053 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 3.053 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 3.053 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 3.053 * * [simplify]: iters left: 4 (6 enodes) 3.057 * * [simplify]: iters left: 3 (25 enodes) 3.065 * * [simplify]: iters left: 2 (36 enodes) 3.076 * * [simplify]: iters left: 1 (40 enodes) 3.088 * * [simplify]: Extracting #0: cost 1 inf + 0 3.088 * * [simplify]: Extracting #1: cost 7 inf + 0 3.088 * * [simplify]: Extracting #2: cost 16 inf + 0 3.088 * * [simplify]: Extracting #3: cost 13 inf + 44 3.088 * * [simplify]: Extracting #4: cost 3 inf + 1103 3.089 * * [simplify]: Extracting #5: cost 0 inf + 1469 3.089 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 3.089 * [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))) 3.089 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 3.090 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 3.090 * * [simplify]: iters left: 4 (6 enodes) 3.092 * * [simplify]: iters left: 3 (25 enodes) 3.096 * * [simplify]: iters left: 2 (36 enodes) 3.101 * * [simplify]: iters left: 1 (40 enodes) 3.108 * * [simplify]: Extracting #0: cost 1 inf + 0 3.108 * * [simplify]: Extracting #1: cost 7 inf + 0 3.108 * * [simplify]: Extracting #2: cost 16 inf + 0 3.108 * * [simplify]: Extracting #3: cost 13 inf + 44 3.108 * * [simplify]: Extracting #4: cost 3 inf + 823 3.108 * * [simplify]: Extracting #5: cost 0 inf + 1069 3.108 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 3.108 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 3.109 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 3.109 * [simplify]: Simplifying (/ (- 1 k) 2) 3.109 * * [simplify]: iters left: 4 (5 enodes) 3.111 * * [simplify]: iters left: 3 (23 enodes) 3.115 * * [simplify]: iters left: 2 (32 enodes) 3.121 * * [simplify]: Extracting #0: cost 1 inf + 0 3.121 * * [simplify]: Extracting #1: cost 6 inf + 0 3.122 * * [simplify]: Extracting #2: cost 9 inf + 2 3.122 * * [simplify]: Extracting #3: cost 6 inf + 87 3.122 * * [simplify]: Extracting #4: cost 0 inf + 420 3.122 * [simplify]: Simplified to (/ (- 1 k) 2) 3.122 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 3.122 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.123 * [simplify]: Simplifying (/ (- 1 k) 2) 3.123 * * [simplify]: iters left: 4 (5 enodes) 3.128 * * [simplify]: iters left: 3 (23 enodes) 3.133 * * [simplify]: iters left: 2 (32 enodes) 3.138 * * [simplify]: Extracting #0: cost 1 inf + 0 3.138 * * [simplify]: Extracting #1: cost 6 inf + 0 3.138 * * [simplify]: Extracting #2: cost 9 inf + 2 3.138 * * [simplify]: Extracting #3: cost 6 inf + 87 3.138 * * [simplify]: Extracting #4: cost 0 inf + 420 3.138 * [simplify]: Simplified to (/ (- 1 k) 2) 3.139 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 3.139 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.139 * [simplify]: Simplifying (/ 1 2) 3.139 * * [simplify]: iters left: 2 (3 enodes) 3.141 * * [simplify]: iters left: 1 (12 enodes) 3.143 * * [simplify]: Extracting #0: cost 1 inf + 0 3.143 * * [simplify]: Extracting #1: cost 0 inf + 1 3.143 * [simplify]: Simplified to 1/2 3.143 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 3.143 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.143 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 3.143 * * [simplify]: iters left: 5 (7 enodes) 3.146 * * [simplify]: iters left: 4 (32 enodes) 3.151 * * [simplify]: iters left: 3 (57 enodes) 3.162 * * [simplify]: iters left: 2 (88 enodes) 3.193 * * [simplify]: iters left: 1 (156 enodes) 3.241 * * [simplify]: Extracting #0: cost 1 inf + 0 3.241 * * [simplify]: Extracting #1: cost 13 inf + 0 3.242 * * [simplify]: Extracting #2: cost 49 inf + 2 3.242 * * [simplify]: Extracting #3: cost 80 inf + 6 3.242 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.244 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.247 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.253 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.259 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.263 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.263 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.264 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.264 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.264 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.264 * [simplify]: Simplifying (* n (* 2 PI)) 3.264 * * [simplify]: iters left: 4 (5 enodes) 3.266 * * [simplify]: iters left: 3 (19 enodes) 3.269 * * [simplify]: iters left: 2 (27 enodes) 3.273 * * [simplify]: iters left: 1 (32 enodes) 3.277 * * [simplify]: Extracting #0: cost 1 inf + 0 3.277 * * [simplify]: Extracting #1: cost 8 inf + 0 3.277 * * [simplify]: Extracting #2: cost 7 inf + 45 3.277 * * [simplify]: Extracting #3: cost 0 inf + 421 3.277 * [simplify]: Simplified to (* (* PI 2) n) 3.277 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.277 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.277 * [simplify]: Simplifying (* n (* 2 PI)) 3.278 * * [simplify]: iters left: 4 (5 enodes) 3.279 * * [simplify]: iters left: 3 (19 enodes) 3.282 * * [simplify]: iters left: 2 (27 enodes) 3.286 * * [simplify]: iters left: 1 (32 enodes) 3.290 * * [simplify]: Extracting #0: cost 1 inf + 0 3.290 * * [simplify]: Extracting #1: cost 8 inf + 0 3.290 * * [simplify]: Extracting #2: cost 7 inf + 45 3.291 * * [simplify]: Extracting #3: cost 0 inf + 421 3.291 * [simplify]: Simplified to (* (* PI 2) n) 3.291 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.291 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.291 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.292 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 3.292 * * [simplify]: iters left: 5 (8 enodes) 3.296 * * [simplify]: iters left: 4 (28 enodes) 3.305 * * [simplify]: iters left: 3 (36 enodes) 3.315 * * [simplify]: iters left: 2 (42 enodes) 3.326 * * [simplify]: Extracting #0: cost 1 inf + 0 3.326 * * [simplify]: Extracting #1: cost 8 inf + 0 3.326 * * [simplify]: Extracting #2: cost 17 inf + 0 3.326 * * [simplify]: Extracting #3: cost 12 inf + 145 3.326 * * [simplify]: Extracting #4: cost 5 inf + 1197 3.327 * * [simplify]: Extracting #5: cost 1 inf + 1925 3.327 * * [simplify]: Extracting #6: cost 0 inf + 2107 3.328 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 3.328 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.328 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.328 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 3.329 * * [simplify]: iters left: 5 (7 enodes) 3.332 * * [simplify]: iters left: 4 (26 enodes) 3.340 * * [simplify]: iters left: 3 (35 enodes) 3.350 * * [simplify]: iters left: 2 (44 enodes) 3.364 * * [simplify]: Extracting #0: cost 1 inf + 0 3.364 * * [simplify]: Extracting #1: cost 8 inf + 0 3.364 * * [simplify]: Extracting #2: cost 18 inf + 0 3.364 * * [simplify]: Extracting #3: cost 15 inf + 74 3.364 * * [simplify]: Extracting #4: cost 8 inf + 554 3.365 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.365 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 3.366 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.366 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.366 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.366 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.366 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 3.366 * * [simplify]: iters left: 6 (11 enodes) 3.374 * * [simplify]: iters left: 5 (48 enodes) 3.387 * * [simplify]: iters left: 4 (121 enodes) 3.420 * * [simplify]: iters left: 3 (348 enodes) 3.623 * * [simplify]: Extracting #0: cost 1 inf + 0 3.623 * * [simplify]: Extracting #1: cost 67 inf + 0 3.624 * * [simplify]: Extracting #2: cost 165 inf + 786 3.626 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.635 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.647 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.653 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.660 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.660 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.660 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.660 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.661 * * [simplify]: iters left: 6 (9 enodes) 3.664 * * [simplify]: iters left: 5 (45 enodes) 3.672 * * [simplify]: iters left: 4 (117 enodes) 3.715 * * [simplify]: iters left: 3 (374 enodes) 4.004 * * [simplify]: Extracting #0: cost 1 inf + 0 4.005 * * [simplify]: Extracting #1: cost 77 inf + 0 4.006 * * [simplify]: Extracting #2: cost 184 inf + 984 4.010 * * [simplify]: Extracting #3: cost 106 inf + 11690 4.019 * * [simplify]: Extracting #4: cost 6 inf + 30376 4.037 * * [simplify]: Extracting #5: cost 0 inf + 31644 4.055 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 4.056 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 4.056 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 4.056 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 4.056 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 4.056 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 4.056 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 4.056 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 4.056 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 4.057 * * [simplify]: iters left: 3 (3 enodes) 4.058 * * [simplify]: iters left: 2 (9 enodes) 4.060 * * [simplify]: Extracting #0: cost 1 inf + 0 4.060 * * [simplify]: Extracting #1: cost 3 inf + 0 4.060 * * [simplify]: Extracting #2: cost 5 inf + 0 4.060 * * [simplify]: Extracting #3: cost 4 inf + 1 4.061 * * [simplify]: Extracting #4: cost 0 inf + 405 4.061 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 4.061 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.061 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 4.061 * [simplify]: Simplifying (sqrt n) 4.061 * * [simplify]: iters left: 1 (2 enodes) 4.062 * * [simplify]: Extracting #0: cost 1 inf + 0 4.062 * * [simplify]: Extracting #1: cost 3 inf + 0 4.062 * * [simplify]: Extracting #2: cost 2 inf + 1 4.062 * * [simplify]: Extracting #3: cost 0 inf + 83 4.062 * [simplify]: Simplified to (sqrt n) 4.062 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.062 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 4.062 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 4.062 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 4.063 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 4.063 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 4.063 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.063 * * [simplify]: iters left: 6 (16 enodes) 4.072 * * [simplify]: iters left: 5 (65 enodes) 4.097 * * [simplify]: iters left: 4 (111 enodes) 4.125 * * [simplify]: iters left: 3 (294 enodes) 4.211 * * [simplify]: Extracting #0: cost 1 inf + 0 4.211 * * [simplify]: Extracting #1: cost 32 inf + 0 4.212 * * [simplify]: Extracting #2: cost 82 inf + 0 4.212 * * [simplify]: Extracting #3: cost 145 inf + 73 4.213 * * [simplify]: Extracting #4: cost 158 inf + 1797 4.220 * * [simplify]: Extracting #5: cost 56 inf + 27690 4.236 * * [simplify]: Extracting #6: cost 4 inf + 45043 4.254 * * [simplify]: Extracting #7: cost 0 inf + 46559 4.275 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.275 * [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))))) 4.275 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.276 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.276 * * [simplify]: iters left: 6 (15 enodes) 4.284 * * [simplify]: iters left: 5 (63 enodes) 4.305 * * [simplify]: iters left: 4 (104 enodes) 4.342 * * [simplify]: iters left: 3 (238 enodes) 4.428 * * [simplify]: Extracting #0: cost 1 inf + 0 4.428 * * [simplify]: Extracting #1: cost 30 inf + 0 4.429 * * [simplify]: Extracting #2: cost 78 inf + 0 4.430 * * [simplify]: Extracting #3: cost 131 inf + 73 4.431 * * [simplify]: Extracting #4: cost 147 inf + 821 4.435 * * [simplify]: Extracting #5: cost 71 inf + 15644 4.448 * * [simplify]: Extracting #6: cost 4 inf + 36895 4.464 * * [simplify]: Extracting #7: cost 0 inf + 38761 4.478 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.478 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.479 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.479 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.479 * * [simplify]: iters left: 6 (14 enodes) 4.487 * * [simplify]: iters left: 5 (62 enodes) 4.511 * * [simplify]: iters left: 4 (111 enodes) 4.538 * * [simplify]: iters left: 3 (223 enodes) 4.590 * * [simplify]: Extracting #0: cost 1 inf + 0 4.590 * * [simplify]: Extracting #1: cost 19 inf + 0 4.590 * * [simplify]: Extracting #2: cost 67 inf + 0 4.590 * * [simplify]: Extracting #3: cost 123 inf + 2 4.591 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.595 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.601 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.607 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.607 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.608 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.608 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.608 * * [simplify]: iters left: 6 (14 enodes) 4.612 * * [simplify]: iters left: 5 (62 enodes) 4.623 * * [simplify]: iters left: 4 (111 enodes) 4.642 * * [simplify]: iters left: 3 (223 enodes) 4.696 * * [simplify]: Extracting #0: cost 1 inf + 0 4.696 * * [simplify]: Extracting #1: cost 19 inf + 0 4.696 * * [simplify]: Extracting #2: cost 67 inf + 0 4.697 * * [simplify]: Extracting #3: cost 123 inf + 2 4.698 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.704 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.710 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.717 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.717 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.717 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.717 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.717 * * [simplify]: iters left: 6 (14 enodes) 4.721 * * [simplify]: iters left: 5 (61 enodes) 4.732 * * [simplify]: iters left: 4 (111 enodes) 4.755 * * [simplify]: iters left: 3 (218 enodes) 4.815 * * [simplify]: Extracting #0: cost 1 inf + 0 4.815 * * [simplify]: Extracting #1: cost 20 inf + 0 4.816 * * [simplify]: Extracting #2: cost 94 inf + 0 4.816 * * [simplify]: Extracting #3: cost 167 inf + 2 4.817 * * [simplify]: Extracting #4: cost 164 inf + 1228 4.819 * * [simplify]: Extracting #5: cost 76 inf + 17725 4.827 * * [simplify]: Extracting #6: cost 9 inf + 35809 4.834 * * [simplify]: Extracting #7: cost 0 inf + 40227 4.841 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 4.841 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 4.842 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 4.842 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 4.842 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 4.842 * [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))) 4.842 * * [simplify]: iters left: 6 (16 enodes) 4.852 * * [simplify]: iters left: 5 (72 enodes) 4.872 * * [simplify]: iters left: 4 (165 enodes) 4.931 * * [simplify]: iters left: 3 (474 enodes) 5.255 * * [simplify]: Extracting #0: cost 1 inf + 0 5.256 * * [simplify]: Extracting #1: cost 172 inf + 0 5.258 * * [simplify]: Extracting #2: cost 449 inf + 1 5.260 * * [simplify]: Extracting #3: cost 500 inf + 248 5.263 * * [simplify]: Extracting #4: cost 476 inf + 4785 5.273 * * [simplify]: Extracting #5: cost 302 inf + 101232 5.338 * * [simplify]: Extracting #6: cost 26 inf + 307299 5.391 * * [simplify]: Extracting #7: cost 0 inf + 323493 5.449 * * [simplify]: Extracting #8: cost 0 inf + 323103 5.499 * [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)))) 5.499 * [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)))))) 5.499 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.499 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.499 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.499 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.499 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.499 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.500 * * [simplify]: iters left: 6 (11 enodes) 5.503 * * [simplify]: iters left: 5 (46 enodes) 5.513 * * [simplify]: iters left: 4 (79 enodes) 5.528 * * [simplify]: iters left: 3 (135 enodes) 5.553 * * [simplify]: iters left: 2 (270 enodes) 5.627 * * [simplify]: Extracting #0: cost 1 inf + 0 5.627 * * [simplify]: Extracting #1: cost 56 inf + 0 5.628 * * [simplify]: Extracting #2: cost 151 inf + 0 5.629 * * [simplify]: Extracting #3: cost 211 inf + 3 5.630 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.635 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.644 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.657 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.673 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.687 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.712 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.712 * [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))))) 5.713 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.713 * * [simplify]: iters left: 6 (11 enodes) 5.719 * * [simplify]: iters left: 5 (45 enodes) 5.733 * * [simplify]: iters left: 4 (68 enodes) 5.749 * * [simplify]: iters left: 3 (110 enodes) 5.770 * * [simplify]: iters left: 2 (217 enodes) 5.815 * * [simplify]: iters left: 1 (456 enodes) 5.983 * * [simplify]: Extracting #0: cost 1 inf + 0 5.983 * * [simplify]: Extracting #1: cost 44 inf + 0 5.984 * * [simplify]: Extracting #2: cost 133 inf + 0 5.986 * * [simplify]: Extracting #3: cost 211 inf + 3 5.988 * * [simplify]: Extracting #4: cost 209 inf + 1047 5.992 * * [simplify]: Extracting #5: cost 156 inf + 8593 6.004 * * [simplify]: Extracting #6: cost 83 inf + 43654 6.033 * * [simplify]: Extracting #7: cost 10 inf + 107740 6.072 * * [simplify]: Extracting #8: cost 0 inf + 116394 6.105 * * [simplify]: Extracting #9: cost 0 inf + 115425 6.140 * * [simplify]: Extracting #10: cost 0 inf + 114468 6.175 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.175 * [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))))) 6.175 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 6.176 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.176 * * [simplify]: iters left: 6 (11 enodes) 6.182 * * [simplify]: iters left: 5 (45 enodes) 6.192 * * [simplify]: iters left: 4 (72 enodes) 6.208 * * [simplify]: iters left: 3 (113 enodes) 6.234 * * [simplify]: iters left: 2 (202 enodes) 6.286 * * [simplify]: iters left: 1 (423 enodes) 6.458 * * [simplify]: Extracting #0: cost 1 inf + 0 6.458 * * [simplify]: Extracting #1: cost 45 inf + 0 6.459 * * [simplify]: Extracting #2: cost 135 inf + 0 6.460 * * [simplify]: Extracting #3: cost 200 inf + 4 6.461 * * [simplify]: Extracting #4: cost 178 inf + 4405 6.470 * * [simplify]: Extracting #5: cost 89 inf + 41805 6.483 * * [simplify]: Extracting #6: cost 6 inf + 96015 6.499 * * [simplify]: Extracting #7: cost 0 inf + 93673 6.518 * * [simplify]: Extracting #8: cost 0 inf + 88687 6.537 * * [simplify]: Extracting #9: cost 0 inf + 87603 6.557 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.557 * [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))))) 6.557 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.557 * * [simplify]: iters left: 6 (11 enodes) 6.561 * * [simplify]: iters left: 5 (45 enodes) 6.570 * * [simplify]: iters left: 4 (68 enodes) 6.582 * * [simplify]: iters left: 3 (110 enodes) 6.623 * * [simplify]: iters left: 2 (217 enodes) 6.678 * * [simplify]: iters left: 1 (456 enodes) 6.894 * * [simplify]: Extracting #0: cost 1 inf + 0 6.894 * * [simplify]: Extracting #1: cost 44 inf + 0 6.895 * * [simplify]: Extracting #2: cost 133 inf + 0 6.896 * * [simplify]: Extracting #3: cost 211 inf + 3 6.898 * * [simplify]: Extracting #4: cost 209 inf + 1127 6.903 * * [simplify]: Extracting #5: cost 156 inf + 8673 6.914 * * [simplify]: Extracting #6: cost 83 inf + 43734 6.929 * * [simplify]: Extracting #7: cost 10 inf + 107820 6.948 * * [simplify]: Extracting #8: cost 0 inf + 116474 6.980 * * [simplify]: Extracting #9: cost 0 inf + 115505 7.017 * * [simplify]: Extracting #10: cost 0 inf + 114548 7.051 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.051 * [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))))) 7.051 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 7.051 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.051 * * [simplify]: iters left: 6 (10 enodes) 7.054 * * [simplify]: iters left: 5 (41 enodes) 7.062 * * [simplify]: iters left: 4 (68 enodes) 7.074 * * [simplify]: iters left: 3 (109 enodes) 7.093 * * [simplify]: iters left: 2 (194 enodes) 7.134 * * [simplify]: iters left: 1 (414 enodes) 7.298 * * [simplify]: Extracting #0: cost 1 inf + 0 7.298 * * [simplify]: Extracting #1: cost 45 inf + 0 7.298 * * [simplify]: Extracting #2: cost 141 inf + 0 7.299 * * [simplify]: Extracting #3: cost 206 inf + 4 7.301 * * [simplify]: Extracting #4: cost 178 inf + 9345 7.306 * * [simplify]: Extracting #5: cost 101 inf + 32669 7.319 * * [simplify]: Extracting #6: cost 15 inf + 90305 7.337 * * [simplify]: Extracting #7: cost 0 inf + 100314 7.373 * * [simplify]: Extracting #8: cost 0 inf + 100143 7.404 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.405 * [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))))) 7.405 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.405 * * [simplify]: iters left: 6 (11 enodes) 7.409 * * [simplify]: iters left: 5 (45 enodes) 7.417 * * [simplify]: iters left: 4 (68 enodes) 7.428 * * [simplify]: iters left: 3 (110 enodes) 7.450 * * [simplify]: iters left: 2 (217 enodes) 7.496 * * [simplify]: iters left: 1 (456 enodes) 7.704 * * [simplify]: Extracting #0: cost 1 inf + 0 7.705 * * [simplify]: Extracting #1: cost 44 inf + 0 7.705 * * [simplify]: Extracting #2: cost 133 inf + 0 7.706 * * [simplify]: Extracting #3: cost 211 inf + 3 7.707 * * [simplify]: Extracting #4: cost 209 inf + 967 7.710 * * [simplify]: Extracting #5: cost 156 inf + 8433 7.716 * * [simplify]: Extracting #6: cost 83 inf + 42774 7.731 * * [simplify]: Extracting #7: cost 10 inf + 105380 7.768 * * [simplify]: Extracting #8: cost 0 inf + 113674 7.802 * * [simplify]: Extracting #9: cost 0 inf + 112705 7.835 * * [simplify]: Extracting #10: cost 0 inf + 111748 7.869 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 7.870 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 7.870 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 7.870 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 7.870 * * [simplify]: iters left: 6 (9 enodes) 7.876 * * [simplify]: iters left: 5 (38 enodes) 7.889 * * [simplify]: iters left: 4 (63 enodes) 7.912 * * [simplify]: iters left: 3 (100 enodes) 7.930 * * [simplify]: iters left: 2 (175 enodes) 7.965 * * [simplify]: iters left: 1 (360 enodes) 8.136 * * [simplify]: Extracting #0: cost 1 inf + 0 8.136 * * [simplify]: Extracting #1: cost 52 inf + 0 8.137 * * [simplify]: Extracting #2: cost 150 inf + 3 8.139 * * [simplify]: Extracting #3: cost 190 inf + 8 8.141 * * [simplify]: Extracting #4: cost 167 inf + 1999 8.147 * * [simplify]: Extracting #5: cost 109 inf + 14534 8.167 * * [simplify]: Extracting #6: cost 11 inf + 80954 8.197 * * [simplify]: Extracting #7: cost 0 inf + 87093 8.224 * * [simplify]: Extracting #8: cost 0 inf + 85003 8.250 * * [simplify]: Extracting #9: cost 0 inf + 84872 8.277 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.278 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.278 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.278 * * [simplify]: iters left: 6 (10 enodes) 8.284 * * [simplify]: iters left: 5 (42 enodes) 8.298 * * [simplify]: iters left: 4 (65 enodes) 8.320 * * [simplify]: iters left: 3 (104 enodes) 8.361 * * [simplify]: iters left: 2 (206 enodes) 8.418 * * [simplify]: iters left: 1 (433 enodes) 8.604 * * [simplify]: Extracting #0: cost 1 inf + 0 8.604 * * [simplify]: Extracting #1: cost 45 inf + 0 8.604 * * [simplify]: Extracting #2: cost 143 inf + 0 8.605 * * [simplify]: Extracting #3: cost 213 inf + 45 8.606 * * [simplify]: Extracting #4: cost 203 inf + 1718 8.610 * * [simplify]: Extracting #5: cost 130 inf + 20716 8.638 * * [simplify]: Extracting #6: cost 18 inf + 99664 8.670 * * [simplify]: Extracting #7: cost 0 inf + 106929 8.710 * * [simplify]: Extracting #8: cost 0 inf + 106247 8.762 * * [simplify]: Extracting #9: cost 0 inf + 105867 8.808 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.808 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.808 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 8.809 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.809 * * [simplify]: iters left: 6 (10 enodes) 8.812 * * [simplify]: iters left: 5 (41 enodes) 8.820 * * [simplify]: iters left: 4 (68 enodes) 8.832 * * [simplify]: iters left: 3 (109 enodes) 8.868 * * [simplify]: iters left: 2 (194 enodes) 8.918 * * [simplify]: iters left: 1 (414 enodes) 9.106 * * [simplify]: Extracting #0: cost 1 inf + 0 9.106 * * [simplify]: Extracting #1: cost 45 inf + 0 9.107 * * [simplify]: Extracting #2: cost 141 inf + 0 9.109 * * [simplify]: Extracting #3: cost 206 inf + 4 9.112 * * [simplify]: Extracting #4: cost 178 inf + 9345 9.127 * * [simplify]: Extracting #5: cost 101 inf + 32669 9.150 * * [simplify]: Extracting #6: cost 15 inf + 90305 9.165 * * [simplify]: Extracting #7: cost 0 inf + 100314 9.188 * * [simplify]: Extracting #8: cost 0 inf + 100143 9.219 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.219 * [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))))) 9.220 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.220 * * [simplify]: iters left: 6 (11 enodes) 9.227 * * [simplify]: iters left: 5 (45 enodes) 9.241 * * [simplify]: iters left: 4 (68 enodes) 9.263 * * [simplify]: iters left: 3 (110 enodes) 9.288 * * [simplify]: iters left: 2 (217 enodes) 9.348 * * [simplify]: iters left: 1 (456 enodes) 9.530 * * [simplify]: Extracting #0: cost 1 inf + 0 9.530 * * [simplify]: Extracting #1: cost 44 inf + 0 9.530 * * [simplify]: Extracting #2: cost 133 inf + 0 9.531 * * [simplify]: Extracting #3: cost 211 inf + 3 9.535 * * [simplify]: Extracting #4: cost 209 inf + 967 9.538 * * [simplify]: Extracting #5: cost 156 inf + 8433 9.544 * * [simplify]: Extracting #6: cost 83 inf + 42774 9.558 * * [simplify]: Extracting #7: cost 10 inf + 105380 9.591 * * [simplify]: Extracting #8: cost 0 inf + 113674 9.608 * * [simplify]: Extracting #9: cost 0 inf + 112705 9.625 * * [simplify]: Extracting #10: cost 0 inf + 111748 9.653 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.653 * [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))))) 9.653 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 9.654 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.654 * * [simplify]: iters left: 6 (8 enodes) 9.659 * * [simplify]: iters left: 5 (33 enodes) 9.671 * * [simplify]: iters left: 4 (56 enodes) 9.690 * * [simplify]: iters left: 3 (98 enodes) 9.729 * * [simplify]: iters left: 2 (203 enodes) 9.813 * * [simplify]: iters left: 1 (441 enodes) 10.092 * * [simplify]: Extracting #0: cost 1 inf + 0 10.092 * * [simplify]: Extracting #1: cost 49 inf + 0 10.093 * * [simplify]: Extracting #2: cost 157 inf + 3 10.094 * * [simplify]: Extracting #3: cost 212 inf + 8 10.095 * * [simplify]: Extracting #4: cost 198 inf + 1133 10.098 * * [simplify]: Extracting #5: cost 127 inf + 13703 10.112 * * [simplify]: Extracting #6: cost 35 inf + 74586 10.130 * * [simplify]: Extracting #7: cost 0 inf + 99668 10.157 * * [simplify]: Extracting #8: cost 0 inf + 99308 10.192 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.192 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.192 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.192 * * [simplify]: iters left: 6 (10 enodes) 10.199 * * [simplify]: iters left: 5 (42 enodes) 10.213 * * [simplify]: iters left: 4 (65 enodes) 10.236 * * [simplify]: iters left: 3 (104 enodes) 10.261 * * [simplify]: iters left: 2 (206 enodes) 10.313 * * [simplify]: iters left: 1 (433 enodes) 10.508 * * [simplify]: Extracting #0: cost 1 inf + 0 10.508 * * [simplify]: Extracting #1: cost 45 inf + 0 10.508 * * [simplify]: Extracting #2: cost 143 inf + 0 10.509 * * [simplify]: Extracting #3: cost 213 inf + 45 10.510 * * [simplify]: Extracting #4: cost 203 inf + 1718 10.514 * * [simplify]: Extracting #5: cost 130 inf + 20716 10.531 * * [simplify]: Extracting #6: cost 18 inf + 99664 10.561 * * [simplify]: Extracting #7: cost 0 inf + 106929 10.593 * * [simplify]: Extracting #8: cost 0 inf + 106247 10.646 * * [simplify]: Extracting #9: cost 0 inf + 105867 10.700 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.700 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.700 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 10.701 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.701 * * [simplify]: iters left: 6 (16 enodes) 10.709 * * [simplify]: iters left: 5 (69 enodes) 10.735 * * [simplify]: iters left: 4 (117 enodes) 10.771 * * [simplify]: iters left: 3 (164 enodes) 10.816 * * [simplify]: iters left: 2 (236 enodes) 10.876 * * [simplify]: iters left: 1 (387 enodes) 11.007 * * [simplify]: Extracting #0: cost 1 inf + 0 11.007 * * [simplify]: Extracting #1: cost 11 inf + 0 11.007 * * [simplify]: Extracting #2: cost 22 inf + 0 11.007 * * [simplify]: Extracting #3: cost 48 inf + 0 11.008 * * [simplify]: Extracting #4: cost 120 inf + 2 11.009 * * [simplify]: Extracting #5: cost 145 inf + 1787 11.015 * * [simplify]: Extracting #6: cost 89 inf + 14823 11.026 * * [simplify]: Extracting #7: cost 35 inf + 37040 11.052 * * [simplify]: Extracting #8: cost 4 inf + 64421 11.076 * * [simplify]: Extracting #9: cost 0 inf + 66215 11.093 * * [simplify]: Extracting #10: cost 0 inf + 65834 11.106 * [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)))) 11.106 * [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))))) 11.106 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.106 * * [simplify]: iters left: 6 (14 enodes) 11.111 * * [simplify]: iters left: 5 (57 enodes) 11.120 * * [simplify]: iters left: 4 (90 enodes) 11.137 * * [simplify]: iters left: 3 (127 enodes) 11.180 * * [simplify]: iters left: 2 (195 enodes) 11.237 * * [simplify]: iters left: 1 (356 enodes) 11.382 * * [simplify]: Extracting #0: cost 1 inf + 0 11.382 * * [simplify]: Extracting #1: cost 4 inf + 0 11.382 * * [simplify]: Extracting #2: cost 8 inf + 0 11.383 * * [simplify]: Extracting #3: cost 34 inf + 0 11.383 * * [simplify]: Extracting #4: cost 107 inf + 164 11.385 * * [simplify]: Extracting #5: cost 148 inf + 585 11.388 * * [simplify]: Extracting #6: cost 104 inf + 6057 11.396 * * [simplify]: Extracting #7: cost 40 inf + 28932 11.414 * * [simplify]: Extracting #8: cost 3 inf + 60785 11.433 * * [simplify]: Extracting #9: cost 0 inf + 62323 11.448 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.448 * [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))))) 11.448 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 11.448 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.448 * * [simplify]: iters left: 6 (16 enodes) 11.453 * * [simplify]: iters left: 5 (66 enodes) 11.464 * * [simplify]: iters left: 4 (103 enodes) 11.483 * * [simplify]: iters left: 3 (142 enodes) 11.519 * * [simplify]: iters left: 2 (210 enodes) 11.577 * * [simplify]: iters left: 1 (370 enodes) 11.755 * * [simplify]: Extracting #0: cost 1 inf + 0 11.756 * * [simplify]: Extracting #1: cost 7 inf + 0 11.756 * * [simplify]: Extracting #2: cost 15 inf + 0 11.756 * * [simplify]: Extracting #3: cost 43 inf + 0 11.757 * * [simplify]: Extracting #4: cost 113 inf + 204 11.758 * * [simplify]: Extracting #5: cost 144 inf + 990 11.761 * * [simplify]: Extracting #6: cost 110 inf + 4920 11.768 * * [simplify]: Extracting #7: cost 55 inf + 21303 11.782 * * [simplify]: Extracting #8: cost 13 inf + 52139 11.801 * * [simplify]: Extracting #9: cost 0 inf + 63233 11.821 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.821 * [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))))) 11.821 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.821 * * [simplify]: iters left: 6 (14 enodes) 11.829 * * [simplify]: iters left: 5 (57 enodes) 11.848 * * [simplify]: iters left: 4 (90 enodes) 11.866 * * [simplify]: iters left: 3 (127 enodes) 11.891 * * [simplify]: iters left: 2 (195 enodes) 11.935 * * [simplify]: iters left: 1 (356 enodes) 12.089 * * [simplify]: Extracting #0: cost 1 inf + 0 12.089 * * [simplify]: Extracting #1: cost 4 inf + 0 12.089 * * [simplify]: Extracting #2: cost 8 inf + 0 12.090 * * [simplify]: Extracting #3: cost 34 inf + 0 12.090 * * [simplify]: Extracting #4: cost 107 inf + 204 12.091 * * [simplify]: Extracting #5: cost 148 inf + 665 12.094 * * [simplify]: Extracting #6: cost 104 inf + 6137 12.103 * * [simplify]: Extracting #7: cost 40 inf + 29012 12.121 * * [simplify]: Extracting #8: cost 3 inf + 60865 12.141 * * [simplify]: Extracting #9: cost 0 inf + 62403 12.161 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.161 * [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))))) 12.161 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 12.161 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.162 * * [simplify]: iters left: 6 (15 enodes) 12.170 * * [simplify]: iters left: 5 (62 enodes) 12.195 * * [simplify]: iters left: 4 (99 enodes) 12.212 * * [simplify]: iters left: 3 (142 enodes) 12.235 * * [simplify]: iters left: 2 (215 enodes) 12.279 * * [simplify]: iters left: 1 (364 enodes) 12.431 * * [simplify]: Extracting #0: cost 1 inf + 0 12.431 * * [simplify]: Extracting #1: cost 7 inf + 0 12.431 * * [simplify]: Extracting #2: cost 14 inf + 0 12.432 * * [simplify]: Extracting #3: cost 41 inf + 0 12.432 * * [simplify]: Extracting #4: cost 108 inf + 124 12.433 * * [simplify]: Extracting #5: cost 134 inf + 713 12.437 * * [simplify]: Extracting #6: cost 89 inf + 7865 12.449 * * [simplify]: Extracting #7: cost 23 inf + 42624 12.464 * * [simplify]: Extracting #8: cost 0 inf + 60960 12.473 * * [simplify]: Extracting #9: cost 0 inf + 60349 12.483 * * [simplify]: Extracting #10: cost 0 inf + 60309 12.495 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.495 * [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))))) 12.496 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.496 * * [simplify]: iters left: 6 (14 enodes) 12.500 * * [simplify]: iters left: 5 (57 enodes) 12.509 * * [simplify]: iters left: 4 (90 enodes) 12.531 * * [simplify]: iters left: 3 (127 enodes) 12.557 * * [simplify]: iters left: 2 (195 enodes) 12.612 * * [simplify]: iters left: 1 (356 enodes) 12.766 * * [simplify]: Extracting #0: cost 1 inf + 0 12.766 * * [simplify]: Extracting #1: cost 4 inf + 0 12.767 * * [simplify]: Extracting #2: cost 8 inf + 0 12.767 * * [simplify]: Extracting #3: cost 34 inf + 0 12.767 * * [simplify]: Extracting #4: cost 107 inf + 124 12.769 * * [simplify]: Extracting #5: cost 148 inf + 505 12.772 * * [simplify]: Extracting #6: cost 104 inf + 5977 12.780 * * [simplify]: Extracting #7: cost 40 inf + 28772 12.798 * * [simplify]: Extracting #8: cost 3 inf + 60625 12.822 * * [simplify]: Extracting #9: cost 0 inf + 62163 12.843 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.843 * [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))))) 12.844 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 12.844 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.844 * * [simplify]: iters left: 6 (14 enodes) 12.853 * * [simplify]: iters left: 5 (59 enodes) 12.873 * * [simplify]: iters left: 4 (96 enodes) 12.895 * * [simplify]: iters left: 3 (136 enodes) 12.917 * * [simplify]: iters left: 2 (205 enodes) 12.982 * * [simplify]: iters left: 1 (370 enodes) 13.113 * * [simplify]: Extracting #0: cost 1 inf + 0 13.113 * * [simplify]: Extracting #1: cost 5 inf + 0 13.113 * * [simplify]: Extracting #2: cost 7 inf + 1 13.113 * * [simplify]: Extracting #3: cost 31 inf + 1 13.114 * * [simplify]: Extracting #4: cost 103 inf + 2 13.114 * * [simplify]: Extracting #5: cost 150 inf + 218 13.115 * * [simplify]: Extracting #6: cost 145 inf + 809 13.117 * * [simplify]: Extracting #7: cost 87 inf + 10304 13.129 * * [simplify]: Extracting #8: cost 25 inf + 34558 13.143 * * [simplify]: Extracting #9: cost 0 inf + 51677 13.157 * * [simplify]: Extracting #10: cost 0 inf + 51597 13.174 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.175 * [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)))) 13.175 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.175 * * [simplify]: iters left: 6 (13 enodes) 13.183 * * [simplify]: iters left: 5 (54 enodes) 13.201 * * [simplify]: iters left: 4 (87 enodes) 13.228 * * [simplify]: iters left: 3 (128 enodes) 13.272 * * [simplify]: iters left: 2 (197 enodes) 13.315 * * [simplify]: iters left: 1 (354 enodes) 13.464 * * [simplify]: Extracting #0: cost 1 inf + 0 13.464 * * [simplify]: Extracting #1: cost 4 inf + 0 13.464 * * [simplify]: Extracting #2: cost 8 inf + 0 13.464 * * [simplify]: Extracting #3: cost 28 inf + 83 13.464 * * [simplify]: Extracting #4: cost 105 inf + 84 13.468 * * [simplify]: Extracting #5: cost 139 inf + 343 13.469 * * [simplify]: Extracting #6: cost 97 inf + 5103 13.474 * * [simplify]: Extracting #7: cost 34 inf + 36313 13.484 * * [simplify]: Extracting #8: cost 1 inf + 60074 13.497 * * [simplify]: Extracting #9: cost 0 inf + 60197 13.517 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 13.517 * [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)))) 13.517 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 13.518 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.518 * * [simplify]: iters left: 6 (15 enodes) 13.526 * * [simplify]: iters left: 5 (62 enodes) 13.546 * * [simplify]: iters left: 4 (99 enodes) 13.569 * * [simplify]: iters left: 3 (142 enodes) 13.599 * * [simplify]: iters left: 2 (215 enodes) 13.672 * * [simplify]: iters left: 1 (364 enodes) 13.799 * * [simplify]: Extracting #0: cost 1 inf + 0 13.799 * * [simplify]: Extracting #1: cost 7 inf + 0 13.800 * * [simplify]: Extracting #2: cost 14 inf + 0 13.800 * * [simplify]: Extracting #3: cost 41 inf + 0 13.800 * * [simplify]: Extracting #4: cost 108 inf + 124 13.802 * * [simplify]: Extracting #5: cost 134 inf + 713 13.805 * * [simplify]: Extracting #6: cost 89 inf + 7865 13.817 * * [simplify]: Extracting #7: cost 23 inf + 42624 13.835 * * [simplify]: Extracting #8: cost 0 inf + 60960 13.853 * * [simplify]: Extracting #9: cost 0 inf + 60349 13.869 * * [simplify]: Extracting #10: cost 0 inf + 60309 13.877 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.878 * [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))))) 13.878 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.878 * * [simplify]: iters left: 6 (14 enodes) 13.882 * * [simplify]: iters left: 5 (57 enodes) 13.892 * * [simplify]: iters left: 4 (90 enodes) 13.921 * * [simplify]: iters left: 3 (127 enodes) 13.962 * * [simplify]: iters left: 2 (195 enodes) 14.034 * * [simplify]: iters left: 1 (356 enodes) 14.169 * * [simplify]: Extracting #0: cost 1 inf + 0 14.169 * * [simplify]: Extracting #1: cost 4 inf + 0 14.169 * * [simplify]: Extracting #2: cost 8 inf + 0 14.169 * * [simplify]: Extracting #3: cost 34 inf + 0 14.170 * * [simplify]: Extracting #4: cost 107 inf + 124 14.170 * * [simplify]: Extracting #5: cost 148 inf + 505 14.172 * * [simplify]: Extracting #6: cost 104 inf + 5977 14.176 * * [simplify]: Extracting #7: cost 40 inf + 28772 14.193 * * [simplify]: Extracting #8: cost 3 inf + 60625 14.213 * * [simplify]: Extracting #9: cost 0 inf + 62163 14.233 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.233 * [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))))) 14.233 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 14.233 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.234 * * [simplify]: iters left: 6 (13 enodes) 14.240 * * [simplify]: iters left: 5 (54 enodes) 14.252 * * [simplify]: iters left: 4 (95 enodes) 14.269 * * [simplify]: iters left: 3 (137 enodes) 14.303 * * [simplify]: iters left: 2 (206 enodes) 14.349 * * [simplify]: iters left: 1 (362 enodes) 14.483 * * [simplify]: Extracting #0: cost 1 inf + 0 14.483 * * [simplify]: Extracting #1: cost 5 inf + 0 14.483 * * [simplify]: Extracting #2: cost 7 inf + 1 14.484 * * [simplify]: Extracting #3: cost 32 inf + 1 14.484 * * [simplify]: Extracting #4: cost 110 inf + 2 14.484 * * [simplify]: Extracting #5: cost 158 inf + 176 14.485 * * [simplify]: Extracting #6: cost 152 inf + 519 14.487 * * [simplify]: Extracting #7: cost 101 inf + 8278 14.497 * * [simplify]: Extracting #8: cost 36 inf + 29809 14.518 * * [simplify]: Extracting #9: cost 0 inf + 59743 14.533 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.533 * [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)))) 14.533 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.533 * * [simplify]: iters left: 6 (13 enodes) 14.537 * * [simplify]: iters left: 5 (54 enodes) 14.550 * * [simplify]: iters left: 4 (87 enodes) 14.565 * * [simplify]: iters left: 3 (128 enodes) 14.599 * * [simplify]: iters left: 2 (197 enodes) 14.649 * * [simplify]: iters left: 1 (354 enodes) 14.807 * * [simplify]: Extracting #0: cost 1 inf + 0 14.807 * * [simplify]: Extracting #1: cost 4 inf + 0 14.807 * * [simplify]: Extracting #2: cost 8 inf + 0 14.808 * * [simplify]: Extracting #3: cost 28 inf + 83 14.808 * * [simplify]: Extracting #4: cost 105 inf + 84 14.808 * * [simplify]: Extracting #5: cost 139 inf + 343 14.810 * * [simplify]: Extracting #6: cost 97 inf + 5103 14.816 * * [simplify]: Extracting #7: cost 34 inf + 36313 14.835 * * [simplify]: Extracting #8: cost 1 inf + 60074 14.854 * * [simplify]: Extracting #9: cost 0 inf + 60197 14.873 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 14.874 * [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)))) 14.874 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 14.874 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.874 * * [simplify]: iters left: 6 (15 enodes) 14.882 * * [simplify]: iters left: 5 (62 enodes) 14.906 * * [simplify]: iters left: 4 (98 enodes) 14.935 * * [simplify]: iters left: 3 (134 enodes) 14.956 * * [simplify]: iters left: 2 (202 enodes) 15.002 * * [simplify]: iters left: 1 (362 enodes) 15.154 * * [simplify]: Extracting #0: cost 1 inf + 0 15.154 * * [simplify]: Extracting #1: cost 6 inf + 0 15.154 * * [simplify]: Extracting #2: cost 13 inf + 0 15.154 * * [simplify]: Extracting #3: cost 43 inf + 0 15.154 * * [simplify]: Extracting #4: cost 123 inf + 2 15.155 * * [simplify]: Extracting #5: cost 143 inf + 1737 15.158 * * [simplify]: Extracting #6: cost 78 inf + 14117 15.163 * * [simplify]: Extracting #7: cost 41 inf + 26321 15.181 * * [simplify]: Extracting #8: cost 0 inf + 58201 15.194 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.194 * [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))))) 15.194 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.194 * * [simplify]: iters left: 6 (14 enodes) 15.198 * * [simplify]: iters left: 5 (57 enodes) 15.211 * * [simplify]: iters left: 4 (91 enodes) 15.230 * * [simplify]: iters left: 3 (127 enodes) 15.266 * * [simplify]: iters left: 2 (195 enodes) 15.326 * * [simplify]: iters left: 1 (354 enodes) 15.458 * * [simplify]: Extracting #0: cost 1 inf + 0 15.459 * * [simplify]: Extracting #1: cost 4 inf + 0 15.459 * * [simplify]: Extracting #2: cost 9 inf + 0 15.459 * * [simplify]: Extracting #3: cost 36 inf + 0 15.460 * * [simplify]: Extracting #4: cost 113 inf + 164 15.461 * * [simplify]: Extracting #5: cost 137 inf + 711 15.465 * * [simplify]: Extracting #6: cost 71 inf + 16363 15.476 * * [simplify]: Extracting #7: cost 10 inf + 50147 15.486 * * [simplify]: Extracting #8: cost 0 inf + 57814 15.496 * * [simplify]: Extracting #9: cost 0 inf + 57305 15.515 * * [simplify]: Extracting #10: cost 0 inf + 57095 15.526 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.527 * [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))))) 15.527 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 15.527 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 15.527 * * [simplify]: iters left: 6 (15 enodes) 15.531 * * [simplify]: iters left: 5 (61 enodes) 15.542 * * [simplify]: iters left: 4 (95 enodes) 15.564 * * [simplify]: iters left: 3 (131 enodes) 15.587 * * [simplify]: iters left: 2 (199 enodes) 15.637 * * [simplify]: iters left: 1 (362 enodes) 15.767 * * [simplify]: Extracting #0: cost 1 inf + 0 15.767 * * [simplify]: Extracting #1: cost 4 inf + 0 15.767 * * [simplify]: Extracting #2: cost 10 inf + 0 15.768 * * [simplify]: Extracting #3: cost 41 inf + 0 15.768 * * [simplify]: Extracting #4: cost 124 inf + 325 15.770 * * [simplify]: Extracting #5: cost 146 inf + 2066 15.775 * * [simplify]: Extracting #6: cost 88 inf + 11216 15.782 * * [simplify]: Extracting #7: cost 59 inf + 18921 15.794 * * [simplify]: Extracting #8: cost 20 inf + 50076 15.804 * * [simplify]: Extracting #9: cost 0 inf + 68061 15.814 * * [simplify]: Extracting #10: cost 0 inf + 67850 15.833 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 15.833 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.834 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.834 * * [simplify]: iters left: 6 (14 enodes) 15.841 * * [simplify]: iters left: 5 (57 enodes) 15.858 * * [simplify]: iters left: 4 (91 enodes) 15.872 * * [simplify]: iters left: 3 (127 enodes) 15.903 * * [simplify]: iters left: 2 (195 enodes) 15.951 * * [simplify]: iters left: 1 (354 enodes) 16.082 * * [simplify]: Extracting #0: cost 1 inf + 0 16.082 * * [simplify]: Extracting #1: cost 4 inf + 0 16.082 * * [simplify]: Extracting #2: cost 9 inf + 0 16.082 * * [simplify]: Extracting #3: cost 36 inf + 0 16.082 * * [simplify]: Extracting #4: cost 113 inf + 204 16.083 * * [simplify]: Extracting #5: cost 137 inf + 791 16.086 * * [simplify]: Extracting #6: cost 71 inf + 16443 16.093 * * [simplify]: Extracting #7: cost 10 inf + 50227 16.103 * * [simplify]: Extracting #8: cost 0 inf + 57894 16.113 * * [simplify]: Extracting #9: cost 0 inf + 57385 16.124 * * [simplify]: Extracting #10: cost 0 inf + 57175 16.135 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.135 * [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))))) 16.135 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 16.136 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.136 * * [simplify]: iters left: 6 (14 enodes) 16.140 * * [simplify]: iters left: 5 (57 enodes) 16.150 * * [simplify]: iters left: 4 (91 enodes) 16.168 * * [simplify]: iters left: 3 (127 enodes) 16.208 * * [simplify]: iters left: 2 (195 enodes) 16.248 * * [simplify]: iters left: 1 (354 enodes) 16.397 * * [simplify]: Extracting #0: cost 1 inf + 0 16.398 * * [simplify]: Extracting #1: cost 4 inf + 0 16.398 * * [simplify]: Extracting #2: cost 9 inf + 0 16.398 * * [simplify]: Extracting #3: cost 36 inf + 0 16.399 * * [simplify]: Extracting #4: cost 113 inf + 124 16.400 * * [simplify]: Extracting #5: cost 137 inf + 631 16.405 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.421 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.440 * * [simplify]: Extracting #8: cost 0 inf + 57654 16.453 * * [simplify]: Extracting #9: cost 0 inf + 57145 16.462 * * [simplify]: Extracting #10: cost 0 inf + 56935 16.475 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.475 * [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))))) 16.476 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.476 * * [simplify]: iters left: 6 (14 enodes) 16.480 * * [simplify]: iters left: 5 (57 enodes) 16.490 * * [simplify]: iters left: 4 (91 enodes) 16.504 * * [simplify]: iters left: 3 (127 enodes) 16.532 * * [simplify]: iters left: 2 (195 enodes) 16.605 * * [simplify]: iters left: 1 (354 enodes) 16.727 * * [simplify]: Extracting #0: cost 1 inf + 0 16.727 * * [simplify]: Extracting #1: cost 4 inf + 0 16.727 * * [simplify]: Extracting #2: cost 9 inf + 0 16.727 * * [simplify]: Extracting #3: cost 36 inf + 0 16.727 * * [simplify]: Extracting #4: cost 113 inf + 124 16.728 * * [simplify]: Extracting #5: cost 137 inf + 631 16.731 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.739 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.748 * * [simplify]: Extracting #8: cost 0 inf + 57654 16.766 * * [simplify]: Extracting #9: cost 0 inf + 57145 16.776 * * [simplify]: Extracting #10: cost 0 inf + 56935 16.786 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.786 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.786 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 16.786 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 16.786 * * [simplify]: iters left: 6 (13 enodes) 16.791 * * [simplify]: iters left: 5 (54 enodes) 16.806 * * [simplify]: iters left: 4 (88 enodes) 16.822 * * [simplify]: iters left: 3 (127 enodes) 16.841 * * [simplify]: iters left: 2 (196 enodes) 16.888 * * [simplify]: iters left: 1 (362 enodes) 17.042 * * [simplify]: Extracting #0: cost 1 inf + 0 17.042 * * [simplify]: Extracting #1: cost 5 inf + 0 17.043 * * [simplify]: Extracting #2: cost 27 inf + 1 17.043 * * [simplify]: Extracting #3: cost 103 inf + 2 17.044 * * [simplify]: Extracting #4: cost 147 inf + 177 17.046 * * [simplify]: Extracting #5: cost 138 inf + 727 17.049 * * [simplify]: Extracting #6: cost 92 inf + 5570 17.066 * * [simplify]: Extracting #7: cost 20 inf + 39855 17.082 * * [simplify]: Extracting #8: cost 0 inf + 56614 17.091 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.091 * [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)))) 17.091 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.091 * * [simplify]: iters left: 6 (13 enodes) 17.095 * * [simplify]: iters left: 5 (54 enodes) 17.104 * * [simplify]: iters left: 4 (88 enodes) 17.124 * * [simplify]: iters left: 3 (125 enodes) 17.160 * * [simplify]: iters left: 2 (193 enodes) 17.209 * * [simplify]: iters left: 1 (356 enodes) 17.351 * * [simplify]: Extracting #0: cost 1 inf + 0 17.351 * * [simplify]: Extracting #1: cost 4 inf + 0 17.351 * * [simplify]: Extracting #2: cost 9 inf + 0 17.351 * * [simplify]: Extracting #3: cost 32 inf + 1 17.352 * * [simplify]: Extracting #4: cost 105 inf + 84 17.353 * * [simplify]: Extracting #5: cost 126 inf + 1591 17.359 * * [simplify]: Extracting #6: cost 68 inf + 14727 17.383 * * [simplify]: Extracting #7: cost 10 inf + 40855 17.408 * * [simplify]: Extracting #8: cost 0 inf + 47636 17.436 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.436 * [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)))) 17.436 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 17.436 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.437 * * [simplify]: iters left: 6 (14 enodes) 17.444 * * [simplify]: iters left: 5 (57 enodes) 17.463 * * [simplify]: iters left: 4 (91 enodes) 17.491 * * [simplify]: iters left: 3 (127 enodes) 17.524 * * [simplify]: iters left: 2 (195 enodes) 17.584 * * [simplify]: iters left: 1 (354 enodes) 17.732 * * [simplify]: Extracting #0: cost 1 inf + 0 17.732 * * [simplify]: Extracting #1: cost 4 inf + 0 17.732 * * [simplify]: Extracting #2: cost 9 inf + 0 17.732 * * [simplify]: Extracting #3: cost 36 inf + 0 17.732 * * [simplify]: Extracting #4: cost 113 inf + 124 17.733 * * [simplify]: Extracting #5: cost 137 inf + 631 17.735 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.747 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.767 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.786 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.806 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.825 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.825 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.826 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.826 * * [simplify]: iters left: 6 (14 enodes) 17.834 * * [simplify]: iters left: 5 (57 enodes) 17.853 * * [simplify]: iters left: 4 (91 enodes) 17.880 * * [simplify]: iters left: 3 (127 enodes) 17.923 * * [simplify]: iters left: 2 (195 enodes) 17.992 * * [simplify]: iters left: 1 (354 enodes) 18.141 * * [simplify]: Extracting #0: cost 1 inf + 0 18.141 * * [simplify]: Extracting #1: cost 4 inf + 0 18.141 * * [simplify]: Extracting #2: cost 9 inf + 0 18.141 * * [simplify]: Extracting #3: cost 36 inf + 0 18.142 * * [simplify]: Extracting #4: cost 113 inf + 124 18.143 * * [simplify]: Extracting #5: cost 137 inf + 631 18.148 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.165 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.179 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.189 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.200 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.213 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.213 * [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))))) 18.213 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 18.214 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.214 * * [simplify]: iters left: 6 (12 enodes) 18.221 * * [simplify]: iters left: 5 (49 enodes) 18.240 * * [simplify]: iters left: 4 (83 enodes) 18.253 * * [simplify]: iters left: 3 (124 enodes) 18.279 * * [simplify]: iters left: 2 (197 enodes) 18.321 * * [simplify]: iters left: 1 (352 enodes) 18.467 * * [simplify]: Extracting #0: cost 1 inf + 0 18.467 * * [simplify]: Extracting #1: cost 5 inf + 0 18.467 * * [simplify]: Extracting #2: cost 27 inf + 1 18.468 * * [simplify]: Extracting #3: cost 107 inf + 2 18.469 * * [simplify]: Extracting #4: cost 136 inf + 177 18.471 * * [simplify]: Extracting #5: cost 130 inf + 641 18.475 * * [simplify]: Extracting #6: cost 70 inf + 10495 18.483 * * [simplify]: Extracting #7: cost 39 inf + 22866 18.497 * * [simplify]: Extracting #8: cost 5 inf + 50330 18.516 * * [simplify]: Extracting #9: cost 0 inf + 54200 18.536 * * [simplify]: Extracting #10: cost 0 inf + 53889 18.561 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.561 * [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)))) 18.561 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.562 * * [simplify]: iters left: 6 (13 enodes) 18.569 * * [simplify]: iters left: 5 (54 enodes) 18.586 * * [simplify]: iters left: 4 (88 enodes) 18.613 * * [simplify]: iters left: 3 (125 enodes) 18.652 * * [simplify]: iters left: 2 (193 enodes) 18.710 * * [simplify]: iters left: 1 (356 enodes) 18.868 * * [simplify]: Extracting #0: cost 1 inf + 0 18.868 * * [simplify]: Extracting #1: cost 4 inf + 0 18.868 * * [simplify]: Extracting #2: cost 9 inf + 0 18.868 * * [simplify]: Extracting #3: cost 32 inf + 1 18.868 * * [simplify]: Extracting #4: cost 105 inf + 84 18.869 * * [simplify]: Extracting #5: cost 126 inf + 1591 18.872 * * [simplify]: Extracting #6: cost 68 inf + 14727 18.881 * * [simplify]: Extracting #7: cost 10 inf + 40855 18.894 * * [simplify]: Extracting #8: cost 0 inf + 47636 18.921 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.921 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.922 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 18.922 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.922 * * [simplify]: iters left: 6 (6 enodes) 18.924 * * [simplify]: iters left: 5 (22 enodes) 18.928 * * [simplify]: iters left: 4 (26 enodes) 18.932 * * [simplify]: Extracting #0: cost 1 inf + 0 18.932 * * [simplify]: Extracting #1: cost 6 inf + 0 18.932 * * [simplify]: Extracting #2: cost 9 inf + 1 18.932 * * [simplify]: Extracting #3: cost 11 inf + 1 18.932 * * [simplify]: Extracting #4: cost 8 inf + 84 18.932 * * [simplify]: Extracting #5: cost 2 inf + 1013 18.933 * * [simplify]: Extracting #6: cost 0 inf + 1376 18.933 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.933 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 18.933 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 18.933 * * [simplify]: iters left: 6 (13 enodes) 18.937 * * [simplify]: iters left: 5 (54 enodes) 18.946 * * [simplify]: iters left: 4 (89 enodes) 18.965 * * [simplify]: iters left: 3 (136 enodes) 18.991 * * [simplify]: iters left: 2 (221 enodes) 19.051 * * [simplify]: iters left: 1 (444 enodes) 19.262 * * [simplify]: Extracting #0: cost 1 inf + 0 19.263 * * [simplify]: Extracting #1: cost 51 inf + 0 19.264 * * [simplify]: Extracting #2: cost 142 inf + 0 19.265 * * [simplify]: Extracting #3: cost 218 inf + 3 19.267 * * [simplify]: Extracting #4: cost 207 inf + 1337 19.273 * * [simplify]: Extracting #5: cost 133 inf + 19274 19.290 * * [simplify]: Extracting #6: cost 32 inf + 94866 19.312 * * [simplify]: Extracting #7: cost 0 inf + 124049 19.348 * * [simplify]: Extracting #8: cost 0 inf + 120814 19.377 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.377 * [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))))) 19.377 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 19.377 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.378 * * [simplify]: iters left: 6 (6 enodes) 19.379 * * [simplify]: iters left: 5 (21 enodes) 19.383 * * [simplify]: iters left: 4 (23 enodes) 19.386 * * [simplify]: Extracting #0: cost 1 inf + 0 19.386 * * [simplify]: Extracting #1: cost 4 inf + 0 19.386 * * [simplify]: Extracting #2: cost 6 inf + 1 19.386 * * [simplify]: Extracting #3: cost 9 inf + 1 19.386 * * [simplify]: Extracting #4: cost 8 inf + 2 19.386 * * [simplify]: Extracting #5: cost 1 inf + 810 19.386 * * [simplify]: Extracting #6: cost 0 inf + 972 19.387 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.387 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.387 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.387 * * [simplify]: iters left: 6 (13 enodes) 19.392 * * [simplify]: iters left: 5 (54 enodes) 19.410 * * [simplify]: iters left: 4 (89 enodes) 19.439 * * [simplify]: iters left: 3 (136 enodes) 19.461 * * [simplify]: iters left: 2 (221 enodes) 19.528 * * [simplify]: iters left: 1 (444 enodes) 19.723 * * [simplify]: Extracting #0: cost 1 inf + 0 19.723 * * [simplify]: Extracting #1: cost 51 inf + 0 19.724 * * [simplify]: Extracting #2: cost 142 inf + 0 19.726 * * [simplify]: Extracting #3: cost 218 inf + 3 19.728 * * [simplify]: Extracting #4: cost 207 inf + 1377 19.734 * * [simplify]: Extracting #5: cost 133 inf + 19354 19.756 * * [simplify]: Extracting #6: cost 32 inf + 94946 19.775 * * [simplify]: Extracting #7: cost 0 inf + 124129 19.803 * * [simplify]: Extracting #8: cost 0 inf + 120894 19.842 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.842 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.842 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 19.843 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.843 * * [simplify]: iters left: 4 (5 enodes) 19.846 * * [simplify]: iters left: 3 (17 enodes) 19.851 * * [simplify]: iters left: 2 (19 enodes) 19.855 * * [simplify]: Extracting #0: cost 1 inf + 0 19.856 * * [simplify]: Extracting #1: cost 4 inf + 0 19.856 * * [simplify]: Extracting #2: cost 5 inf + 1 19.856 * * [simplify]: Extracting #3: cost 7 inf + 1 19.856 * * [simplify]: Extracting #4: cost 0 inf + 490 19.856 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.856 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.856 * * [simplify]: iters left: 6 (13 enodes) 19.860 * * [simplify]: iters left: 5 (54 enodes) 19.869 * * [simplify]: iters left: 4 (89 enodes) 19.886 * * [simplify]: iters left: 3 (136 enodes) 19.915 * * [simplify]: iters left: 2 (221 enodes) 19.968 * * [simplify]: iters left: 1 (444 enodes) 20.163 * * [simplify]: Extracting #0: cost 1 inf + 0 20.163 * * [simplify]: Extracting #1: cost 51 inf + 0 20.165 * * [simplify]: Extracting #2: cost 142 inf + 0 20.166 * * [simplify]: Extracting #3: cost 218 inf + 3 20.168 * * [simplify]: Extracting #4: cost 207 inf + 1257 20.175 * * [simplify]: Extracting #5: cost 133 inf + 18954 20.199 * * [simplify]: Extracting #6: cost 32 inf + 92706 20.220 * * [simplify]: Extracting #7: cost 0 inf + 121009 20.243 * * [simplify]: Extracting #8: cost 0 inf + 117774 20.279 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.279 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.280 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 20.280 * [simplify]: Simplifying (/ 1 (sqrt 1)) 20.280 * * [simplify]: iters left: 3 (3 enodes) 20.287 * * [simplify]: iters left: 2 (11 enodes) 20.290 * * [simplify]: iters left: 1 (13 enodes) 20.293 * * [simplify]: Extracting #0: cost 1 inf + 0 20.293 * * [simplify]: Extracting #1: cost 0 inf + 1 20.293 * [simplify]: Simplified to 1 20.293 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.293 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.294 * * [simplify]: iters left: 6 (12 enodes) 20.300 * * [simplify]: iters left: 5 (51 enodes) 20.318 * * [simplify]: iters left: 4 (86 enodes) 20.346 * * [simplify]: iters left: 3 (133 enodes) 20.376 * * [simplify]: iters left: 2 (218 enodes) 20.431 * * [simplify]: iters left: 1 (444 enodes) 20.619 * * [simplify]: Extracting #0: cost 1 inf + 0 20.619 * * [simplify]: Extracting #1: cost 39 inf + 0 20.620 * * [simplify]: Extracting #2: cost 126 inf + 0 20.621 * * [simplify]: Extracting #3: cost 201 inf + 4 20.622 * * [simplify]: Extracting #4: cost 189 inf + 1508 20.625 * * [simplify]: Extracting #5: cost 135 inf + 9951 20.636 * * [simplify]: Extracting #6: cost 51 inf + 62585 20.656 * * [simplify]: Extracting #7: cost 2 inf + 102691 20.687 * * [simplify]: Extracting #8: cost 0 inf + 104433 20.703 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 20.703 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.703 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 20.703 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.703 * * [simplify]: iters left: 4 (5 enodes) 20.705 * * [simplify]: iters left: 3 (17 enodes) 20.708 * * [simplify]: iters left: 2 (19 enodes) 20.711 * * [simplify]: Extracting #0: cost 1 inf + 0 20.711 * * [simplify]: Extracting #1: cost 4 inf + 0 20.711 * * [simplify]: Extracting #2: cost 5 inf + 1 20.711 * * [simplify]: Extracting #3: cost 7 inf + 1 20.711 * * [simplify]: Extracting #4: cost 0 inf + 490 20.711 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.711 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.711 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.711 * * [simplify]: iters left: 6 (13 enodes) 20.716 * * [simplify]: iters left: 5 (54 enodes) 20.735 * * [simplify]: iters left: 4 (89 enodes) 20.765 * * [simplify]: iters left: 3 (136 enodes) 20.793 * * [simplify]: iters left: 2 (221 enodes) 20.849 * * [simplify]: iters left: 1 (444 enodes) 21.032 * * [simplify]: Extracting #0: cost 1 inf + 0 21.032 * * [simplify]: Extracting #1: cost 51 inf + 0 21.032 * * [simplify]: Extracting #2: cost 142 inf + 0 21.033 * * [simplify]: Extracting #3: cost 218 inf + 3 21.034 * * [simplify]: Extracting #4: cost 207 inf + 1257 21.037 * * [simplify]: Extracting #5: cost 133 inf + 18954 21.050 * * [simplify]: Extracting #6: cost 32 inf + 92706 21.077 * * [simplify]: Extracting #7: cost 0 inf + 121009 21.113 * * [simplify]: Extracting #8: cost 0 inf + 117774 21.153 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.153 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.153 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 21.154 * [simplify]: Simplifying (/ 1 1) 21.154 * * [simplify]: iters left: 2 (2 enodes) 21.156 * * [simplify]: iters left: 1 (6 enodes) 21.158 * * [simplify]: Extracting #0: cost 1 inf + 0 21.158 * * [simplify]: Extracting #1: cost 0 inf + 1 21.158 * [simplify]: Simplified to 1 21.158 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.158 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.158 * * [simplify]: iters left: 6 (12 enodes) 21.165 * * [simplify]: iters left: 5 (51 enodes) 21.174 * * [simplify]: iters left: 4 (86 enodes) 21.189 * * [simplify]: iters left: 3 (133 enodes) 21.211 * * [simplify]: iters left: 2 (218 enodes) 21.274 * * [simplify]: iters left: 1 (444 enodes) 21.441 * * [simplify]: Extracting #0: cost 1 inf + 0 21.441 * * [simplify]: Extracting #1: cost 39 inf + 0 21.441 * * [simplify]: Extracting #2: cost 126 inf + 0 21.442 * * [simplify]: Extracting #3: cost 201 inf + 4 21.443 * * [simplify]: Extracting #4: cost 189 inf + 1508 21.446 * * [simplify]: Extracting #5: cost 135 inf + 9951 21.453 * * [simplify]: Extracting #6: cost 51 inf + 62585 21.484 * * [simplify]: Extracting #7: cost 2 inf + 102691 21.515 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.551 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.551 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.552 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 21.552 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.552 * * [simplify]: iters left: 6 (15 enodes) 21.558 * * [simplify]: iters left: 5 (65 enodes) 21.570 * * [simplify]: iters left: 4 (109 enodes) 21.590 * * [simplify]: iters left: 3 (185 enodes) 21.662 * * [simplify]: iters left: 2 (368 enodes) 21.755 * * [simplify]: Extracting #0: cost 1 inf + 0 21.755 * * [simplify]: Extracting #1: cost 54 inf + 0 21.755 * * [simplify]: Extracting #2: cost 144 inf + 0 21.756 * * [simplify]: Extracting #3: cost 223 inf + 2 21.757 * * [simplify]: Extracting #4: cost 217 inf + 1415 21.762 * * [simplify]: Extracting #5: cost 166 inf + 8610 21.777 * * [simplify]: Extracting #6: cost 63 inf + 69583 21.808 * * [simplify]: Extracting #7: cost 0 inf + 121597 21.841 * * [simplify]: Extracting #8: cost 0 inf + 120169 21.877 * * [simplify]: Extracting #9: cost 0 inf + 120168 21.900 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.900 * [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))))) 21.901 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 21.901 * * [simplify]: iters left: 6 (14 enodes) 21.905 * * [simplify]: iters left: 5 (60 enodes) 21.916 * * [simplify]: iters left: 4 (98 enodes) 21.945 * * [simplify]: iters left: 3 (157 enodes) 22.003 * * [simplify]: iters left: 2 (290 enodes) 22.061 * * [simplify]: Extracting #0: cost 1 inf + 0 22.061 * * [simplify]: Extracting #1: cost 30 inf + 0 22.061 * * [simplify]: Extracting #2: cost 72 inf + 0 22.062 * * [simplify]: Extracting #3: cost 138 inf + 2 22.062 * * [simplify]: Extracting #4: cost 142 inf + 932 22.065 * * [simplify]: Extracting #5: cost 72 inf + 18422 22.075 * * [simplify]: Extracting #6: cost 10 inf + 45090 22.085 * * [simplify]: Extracting #7: cost 0 inf + 51502 22.102 * * [simplify]: Extracting #8: cost 0 inf + 51262 22.119 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 22.119 * [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))))) 22.119 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 22.120 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 22.120 * * [simplify]: iters left: 6 (15 enodes) 22.128 * * [simplify]: iters left: 5 (64 enodes) 22.139 * * [simplify]: iters left: 4 (102 enodes) 22.158 * * [simplify]: iters left: 3 (161 enodes) 22.208 * * [simplify]: iters left: 2 (288 enodes) 22.281 * * [simplify]: Extracting #0: cost 1 inf + 0 22.281 * * [simplify]: Extracting #1: cost 30 inf + 0 22.282 * * [simplify]: Extracting #2: cost 73 inf + 0 22.282 * * [simplify]: Extracting #3: cost 138 inf + 2 22.283 * * [simplify]: Extracting #4: cost 144 inf + 347 22.286 * * [simplify]: Extracting #5: cost 101 inf + 5180 22.298 * * [simplify]: Extracting #6: cost 44 inf + 26188 22.306 * * [simplify]: Extracting #7: cost 7 inf + 54487 22.314 * * [simplify]: Extracting #8: cost 0 inf + 59312 22.322 * * [simplify]: Extracting #9: cost 0 inf + 58534 22.330 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 22.330 * [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))))) 22.330 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 22.330 * * [simplify]: iters left: 6 (14 enodes) 22.336 * * [simplify]: iters left: 5 (60 enodes) 22.355 * * [simplify]: iters left: 4 (98 enodes) 22.388 * * [simplify]: iters left: 3 (157 enodes) 22.431 * * [simplify]: iters left: 2 (290 enodes) 22.509 * * [simplify]: Extracting #0: cost 1 inf + 0 22.509 * * [simplify]: Extracting #1: cost 30 inf + 0 22.509 * * [simplify]: Extracting #2: cost 72 inf + 0 22.513 * * [simplify]: Extracting #3: cost 138 inf + 2 22.513 * * [simplify]: Extracting #4: cost 142 inf + 932 22.516 * * [simplify]: Extracting #5: cost 72 inf + 18502 22.525 * * [simplify]: Extracting #6: cost 10 inf + 45170 22.543 * * [simplify]: Extracting #7: cost 0 inf + 51582 22.556 * * [simplify]: Extracting #8: cost 0 inf + 51342 22.565 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 22.565 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 22.565 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 22.566 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.566 * * [simplify]: iters left: 6 (14 enodes) 22.571 * * [simplify]: iters left: 5 (60 enodes) 22.581 * * [simplify]: iters left: 4 (98 enodes) 22.604 * * [simplify]: iters left: 3 (157 enodes) 22.664 * * [simplify]: iters left: 2 (290 enodes) 22.760 * * [simplify]: Extracting #0: cost 1 inf + 0 22.760 * * [simplify]: Extracting #1: cost 30 inf + 0 22.760 * * [simplify]: Extracting #2: cost 72 inf + 0 22.760 * * [simplify]: Extracting #3: cost 138 inf + 2 22.761 * * [simplify]: Extracting #4: cost 142 inf + 932 22.764 * * [simplify]: Extracting #5: cost 72 inf + 18102 22.772 * * [simplify]: Extracting #6: cost 10 inf + 44010 22.784 * * [simplify]: Extracting #7: cost 0 inf + 50022 22.799 * * [simplify]: Extracting #8: cost 0 inf + 49782 22.808 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.808 * [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))))) 22.808 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.808 * * [simplify]: iters left: 6 (14 enodes) 22.812 * * [simplify]: iters left: 5 (60 enodes) 22.823 * * [simplify]: iters left: 4 (98 enodes) 22.851 * * [simplify]: iters left: 3 (157 enodes) 22.886 * * [simplify]: iters left: 2 (290 enodes) 22.978 * * [simplify]: Extracting #0: cost 1 inf + 0 22.978 * * [simplify]: Extracting #1: cost 30 inf + 0 22.978 * * [simplify]: Extracting #2: cost 72 inf + 0 22.979 * * [simplify]: Extracting #3: cost 138 inf + 2 22.980 * * [simplify]: Extracting #4: cost 142 inf + 932 22.987 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.001 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.018 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.027 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.035 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.035 * [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))))) 23.035 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 23.036 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 23.036 * * [simplify]: iters left: 6 (13 enodes) 23.041 * * [simplify]: iters left: 5 (57 enodes) 23.052 * * [simplify]: iters left: 4 (93 enodes) 23.082 * * [simplify]: iters left: 3 (148 enodes) 23.139 * * [simplify]: iters left: 2 (271 enodes) 23.241 * * [simplify]: iters left: 1 (495 enodes) 23.459 * * [simplify]: Extracting #0: cost 1 inf + 0 23.460 * * [simplify]: Extracting #1: cost 55 inf + 0 23.460 * * [simplify]: Extracting #2: cost 164 inf + 2 23.462 * * [simplify]: Extracting #3: cost 237 inf + 220 23.465 * * [simplify]: Extracting #4: cost 230 inf + 978 23.471 * * [simplify]: Extracting #5: cost 141 inf + 13550 23.483 * * [simplify]: Extracting #6: cost 75 inf + 38571 23.500 * * [simplify]: Extracting #7: cost 10 inf + 93049 23.517 * * [simplify]: Extracting #8: cost 0 inf + 100862 23.547 * * [simplify]: Extracting #9: cost 0 inf + 100439 23.575 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 23.575 * [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)))) 23.575 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.575 * * [simplify]: iters left: 6 (13 enodes) 23.579 * * [simplify]: iters left: 5 (57 enodes) 23.590 * * [simplify]: iters left: 4 (95 enodes) 23.617 * * [simplify]: iters left: 3 (154 enodes) 23.674 * * [simplify]: iters left: 2 (287 enodes) 23.760 * * [simplify]: Extracting #0: cost 1 inf + 0 23.760 * * [simplify]: Extracting #1: cost 30 inf + 0 23.760 * * [simplify]: Extracting #2: cost 73 inf + 0 23.761 * * [simplify]: Extracting #3: cost 136 inf + 3 23.763 * * [simplify]: Extracting #4: cost 132 inf + 1178 23.766 * * [simplify]: Extracting #5: cost 90 inf + 6800 23.775 * * [simplify]: Extracting #6: cost 20 inf + 38881 23.790 * * [simplify]: Extracting #7: cost 0 inf + 54585 23.805 * * [simplify]: Extracting #8: cost 0 inf + 54374 23.820 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 23.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 23.820 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 23.821 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.821 * * [simplify]: iters left: 6 (14 enodes) 23.829 * * [simplify]: iters left: 5 (60 enodes) 23.848 * * [simplify]: iters left: 4 (98 enodes) 23.884 * * [simplify]: iters left: 3 (157 enodes) 23.940 * * [simplify]: iters left: 2 (290 enodes) 24.055 * * [simplify]: Extracting #0: cost 1 inf + 0 24.055 * * [simplify]: Extracting #1: cost 30 inf + 0 24.056 * * [simplify]: Extracting #2: cost 72 inf + 0 24.056 * * [simplify]: Extracting #3: cost 138 inf + 2 24.057 * * [simplify]: Extracting #4: cost 142 inf + 932 24.063 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.077 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.088 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.097 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.106 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.106 * [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))))) 24.107 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.107 * * [simplify]: iters left: 6 (14 enodes) 24.111 * * [simplify]: iters left: 5 (60 enodes) 24.124 * * [simplify]: iters left: 4 (98 enodes) 24.145 * * [simplify]: iters left: 3 (157 enodes) 24.178 * * [simplify]: iters left: 2 (290 enodes) 24.249 * * [simplify]: Extracting #0: cost 1 inf + 0 24.249 * * [simplify]: Extracting #1: cost 30 inf + 0 24.250 * * [simplify]: Extracting #2: cost 72 inf + 0 24.250 * * [simplify]: Extracting #3: cost 138 inf + 2 24.251 * * [simplify]: Extracting #4: cost 142 inf + 932 24.254 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.261 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.278 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.292 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.301 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.301 * [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))))) 24.301 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 24.301 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 24.301 * * [simplify]: iters left: 6 (12 enodes) 24.305 * * [simplify]: iters left: 5 (52 enodes) 24.314 * * [simplify]: iters left: 4 (90 enodes) 24.337 * * [simplify]: iters left: 3 (151 enodes) 24.365 * * [simplify]: iters left: 2 (287 enodes) 24.449 * * [simplify]: Extracting #0: cost 1 inf + 0 24.449 * * [simplify]: Extracting #1: cost 31 inf + 0 24.449 * * [simplify]: Extracting #2: cost 99 inf + 2 24.450 * * [simplify]: Extracting #3: cost 141 inf + 219 24.451 * * [simplify]: Extracting #4: cost 141 inf + 641 24.454 * * [simplify]: Extracting #5: cost 86 inf + 6314 24.462 * * [simplify]: Extracting #6: cost 34 inf + 26657 24.475 * * [simplify]: Extracting #7: cost 3 inf + 48037 24.490 * * [simplify]: Extracting #8: cost 0 inf + 50067 24.504 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 24.504 * [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)))) 24.504 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.504 * * [simplify]: iters left: 6 (13 enodes) 24.512 * * [simplify]: iters left: 5 (57 enodes) 24.532 * * [simplify]: iters left: 4 (95 enodes) 24.568 * * [simplify]: iters left: 3 (154 enodes) 24.624 * * [simplify]: iters left: 2 (287 enodes) 24.687 * * [simplify]: Extracting #0: cost 1 inf + 0 24.687 * * [simplify]: Extracting #1: cost 30 inf + 0 24.688 * * [simplify]: Extracting #2: cost 73 inf + 0 24.688 * * [simplify]: Extracting #3: cost 136 inf + 3 24.689 * * [simplify]: Extracting #4: cost 132 inf + 1178 24.690 * * [simplify]: Extracting #5: cost 90 inf + 6800 24.695 * * [simplify]: Extracting #6: cost 20 inf + 38881 24.702 * * [simplify]: Extracting #7: cost 0 inf + 54585 24.710 * * [simplify]: Extracting #8: cost 0 inf + 54374 24.717 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.717 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.718 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 24.718 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 24.718 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 24.718 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 24.718 * [simplify]: Simplifying (cbrt (sqrt k)) 24.718 * * [simplify]: iters left: 2 (3 enodes) 24.719 * * [simplify]: iters left: 1 (9 enodes) 24.720 * * [simplify]: Extracting #0: cost 1 inf + 0 24.720 * * [simplify]: Extracting #1: cost 3 inf + 0 24.720 * * [simplify]: Extracting #2: cost 5 inf + 0 24.720 * * [simplify]: Extracting #3: cost 4 inf + 1 24.720 * * [simplify]: Extracting #4: cost 0 inf + 325 24.720 * [simplify]: Simplified to (cbrt (sqrt k)) 24.720 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 24.720 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 24.720 * [simplify]: Simplifying (sqrt (cbrt k)) 24.720 * * [simplify]: iters left: 2 (3 enodes) 24.721 * * [simplify]: iters left: 1 (9 enodes) 24.722 * * [simplify]: Extracting #0: cost 1 inf + 0 24.722 * * [simplify]: Extracting #1: cost 3 inf + 0 24.722 * * [simplify]: Extracting #2: cost 5 inf + 0 24.722 * * [simplify]: Extracting #3: cost 4 inf + 1 24.722 * * [simplify]: Extracting #4: cost 0 inf + 405 24.722 * [simplify]: Simplified to (sqrt (cbrt k)) 24.722 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 24.722 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 24.722 * [simplify]: Simplifying (sqrt (sqrt k)) 24.722 * * [simplify]: iters left: 2 (3 enodes) 24.723 * * [simplify]: iters left: 1 (9 enodes) 24.724 * * [simplify]: Extracting #0: cost 1 inf + 0 24.724 * * [simplify]: Extracting #1: cost 3 inf + 0 24.724 * * [simplify]: Extracting #2: cost 5 inf + 0 24.725 * * [simplify]: Extracting #3: cost 4 inf + 1 24.725 * * [simplify]: Extracting #4: cost 0 inf + 245 24.725 * [simplify]: Simplified to (sqrt (sqrt k)) 24.725 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.725 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 24.725 * [simplify]: Simplifying (sqrt k) 24.725 * * [simplify]: iters left: 1 (2 enodes) 24.725 * * [simplify]: Extracting #0: cost 1 inf + 0 24.725 * * [simplify]: Extracting #1: cost 3 inf + 0 24.725 * * [simplify]: Extracting #2: cost 2 inf + 1 24.725 * * [simplify]: Extracting #3: cost 0 inf + 83 24.726 * [simplify]: Simplified to (sqrt k) 24.726 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 24.726 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 24.726 * [simplify]: Simplifying (sqrt (sqrt k)) 24.726 * * [simplify]: iters left: 2 (3 enodes) 24.726 * * [simplify]: iters left: 1 (9 enodes) 24.727 * * [simplify]: Extracting #0: cost 1 inf + 0 24.728 * * [simplify]: Extracting #1: cost 3 inf + 0 24.728 * * [simplify]: Extracting #2: cost 5 inf + 0 24.728 * * [simplify]: Extracting #3: cost 4 inf + 1 24.728 * * [simplify]: Extracting #4: cost 0 inf + 245 24.728 * [simplify]: Simplified to (sqrt (sqrt k)) 24.728 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.728 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 24.728 * [simplify]: Simplifying (sqrt k) 24.728 * * [simplify]: iters left: 1 (2 enodes) 24.728 * * [simplify]: Extracting #0: cost 1 inf + 0 24.728 * * [simplify]: Extracting #1: cost 3 inf + 0 24.728 * * [simplify]: Extracting #2: cost 2 inf + 1 24.729 * * [simplify]: Extracting #3: cost 0 inf + 83 24.729 * [simplify]: Simplified to (sqrt k) 24.729 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 24.729 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 24.729 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 24.729 * * [simplify]: iters left: 5 (7 enodes) 24.731 * * [simplify]: iters left: 4 (32 enodes) 24.738 * * [simplify]: iters left: 3 (57 enodes) 24.751 * * [simplify]: iters left: 2 (88 enodes) 24.766 * * [simplify]: iters left: 1 (156 enodes) 24.810 * * [simplify]: Extracting #0: cost 1 inf + 0 24.810 * * [simplify]: Extracting #1: cost 13 inf + 0 24.810 * * [simplify]: Extracting #2: cost 49 inf + 2 24.811 * * [simplify]: Extracting #3: cost 80 inf + 6 24.811 * * [simplify]: Extracting #4: cost 58 inf + 1840 24.813 * * [simplify]: Extracting #5: cost 22 inf + 9206 24.815 * * [simplify]: Extracting #6: cost 1 inf + 20886 24.818 * * [simplify]: Extracting #7: cost 0 inf + 21301 24.822 * * [simplify]: Extracting #8: cost 0 inf + 21130 24.825 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 24.825 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 24.825 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 24.825 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 24.825 * * [simplify]: iters left: 6 (12 enodes) 24.831 * * [simplify]: iters left: 5 (51 enodes) 24.843 * * [simplify]: iters left: 4 (84 enodes) 24.857 * * [simplify]: iters left: 3 (125 enodes) 24.881 * * [simplify]: iters left: 2 (198 enodes) 24.948 * * [simplify]: iters left: 1 (353 enodes) 25.064 * * [simplify]: Extracting #0: cost 1 inf + 0 25.064 * * [simplify]: Extracting #1: cost 3 inf + 0 25.064 * * [simplify]: Extracting #2: cost 5 inf + 0 25.065 * * [simplify]: Extracting #3: cost 28 inf + 0 25.065 * * [simplify]: Extracting #4: cost 101 inf + 1 25.066 * * [simplify]: Extracting #5: cost 136 inf + 176 25.067 * * [simplify]: Extracting #6: cost 127 inf + 1730 25.072 * * [simplify]: Extracting #7: cost 68 inf + 14428 25.080 * * [simplify]: Extracting #8: cost 24 inf + 38979 25.090 * * [simplify]: Extracting #9: cost 0 inf + 59741 25.104 * * [simplify]: Extracting #10: cost 0 inf + 57850 25.119 * * [simplify]: Extracting #11: cost 0 inf + 57436 25.140 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 25.141 * [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)))))) 25.141 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 25.141 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 25.141 * * [simplify]: iters left: 6 (11 enodes) 25.148 * * [simplify]: iters left: 5 (48 enodes) 25.159 * * [simplify]: iters left: 4 (78 enodes) 25.173 * * [simplify]: iters left: 3 (120 enodes) 25.201 * * [simplify]: iters left: 2 (211 enodes) 25.263 * * [simplify]: iters left: 1 (378 enodes) 25.381 * * [simplify]: Extracting #0: cost 1 inf + 0 25.381 * * [simplify]: Extracting #1: cost 4 inf + 0 25.381 * * [simplify]: Extracting #2: cost 28 inf + 0 25.382 * * [simplify]: Extracting #3: cost 111 inf + 1 25.382 * * [simplify]: Extracting #4: cost 151 inf + 220 25.383 * * [simplify]: Extracting #5: cost 149 inf + 601 25.384 * * [simplify]: Extracting #6: cost 109 inf + 5630 25.393 * * [simplify]: Extracting #7: cost 43 inf + 25793 25.402 * * [simplify]: Extracting #8: cost 5 inf + 52343 25.416 * * [simplify]: Extracting #9: cost 0 inf + 56629 25.437 * * [simplify]: Extracting #10: cost 0 inf + 55972 25.458 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 25.458 * [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)))))) 25.458 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 25.458 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 25.458 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 25.459 * * [simplify]: iters left: 6 (11 enodes) 25.465 * * [simplify]: iters left: 5 (51 enodes) 25.483 * * [simplify]: iters left: 4 (87 enodes) 25.513 * * [simplify]: iters left: 3 (143 enodes) 25.567 * * [simplify]: iters left: 2 (259 enodes) 25.629 * * [simplify]: iters left: 1 (467 enodes) 25.840 * * [simplify]: Extracting #0: cost 1 inf + 0 25.840 * * [simplify]: Extracting #1: cost 23 inf + 0 25.840 * * [simplify]: Extracting #2: cost 99 inf + 1 25.841 * * [simplify]: Extracting #3: cost 180 inf + 178 25.843 * * [simplify]: Extracting #4: cost 162 inf + 2505 25.846 * * [simplify]: Extracting #5: cost 78 inf + 12096 25.858 * * [simplify]: Extracting #6: cost 33 inf + 29460 25.877 * * [simplify]: Extracting #7: cost 1 inf + 56926 25.887 * * [simplify]: Extracting #8: cost 0 inf + 57804 25.897 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 25.897 * [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))))) 25.897 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 25.897 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 25.897 * * [simplify]: iters left: 5 (8 enodes) 25.901 * * [simplify]: iters left: 4 (35 enodes) 25.911 * * [simplify]: iters left: 3 (63 enodes) 25.933 * * [simplify]: iters left: 2 (108 enodes) 25.949 * * [simplify]: iters left: 1 (162 enodes) 25.978 * * [simplify]: Extracting #0: cost 1 inf + 0 25.978 * * [simplify]: Extracting #1: cost 12 inf + 0 25.979 * * [simplify]: Extracting #2: cost 40 inf + 2 25.979 * * [simplify]: Extracting #3: cost 40 inf + 9 25.979 * * [simplify]: Extracting #4: cost 25 inf + 2233 25.980 * * [simplify]: Extracting #5: cost 10 inf + 8991 25.982 * * [simplify]: Extracting #6: cost 0 inf + 14572 25.983 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 25.983 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 25.983 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 25.984 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 25.984 * [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))))) 25.984 * * [simplify]: iters left: 6 (37 enodes) 25.995 * * [simplify]: iters left: 5 (187 enodes) 26.044 * * [simplify]: iters left: 4 (488 enodes) 26.281 * * [simplify]: Extracting #0: cost 1 inf + 0 26.281 * * [simplify]: Extracting #1: cost 57 inf + 0 26.282 * * [simplify]: Extracting #2: cost 294 inf + 0 26.286 * * [simplify]: Extracting #3: cost 524 inf + 199 26.292 * * [simplify]: Extracting #4: cost 512 inf + 6095 26.321 * * [simplify]: Extracting #5: cost 310 inf + 78036 26.383 * * [simplify]: Extracting #6: cost 40 inf + 220622 26.461 * * [simplify]: Extracting #7: cost 0 inf + 244981 26.528 * * [simplify]: Extracting #8: cost 0 inf + 243455 26.606 * * [simplify]: Extracting #9: cost 0 inf + 243454 26.694 * [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)))))))) 26.694 * [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))) 26.695 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 26.695 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 26.695 * * [simplify]: iters left: 6 (15 enodes) 26.700 * * [simplify]: iters left: 5 (65 enodes) 26.714 * * [simplify]: iters left: 4 (123 enodes) 26.754 * * [simplify]: iters left: 3 (361 enodes) 26.923 * * [simplify]: Extracting #0: cost 1 inf + 0 26.923 * * [simplify]: Extracting #1: cost 37 inf + 0 26.923 * * [simplify]: Extracting #2: cost 213 inf + 72 26.928 * * [simplify]: Extracting #3: cost 350 inf + 1716 26.932 * * [simplify]: Extracting #4: cost 221 inf + 30028 26.945 * * [simplify]: Extracting #5: cost 33 inf + 78046 26.968 * * [simplify]: Extracting #6: cost 1 inf + 88785 26.984 * * [simplify]: Extracting #7: cost 0 inf + 88926 27.006 * * [simplify]: Extracting #8: cost 0 inf + 88841 27.039 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.039 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.039 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 27.040 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.040 * * [simplify]: iters left: 6 (16 enodes) 27.051 * * [simplify]: iters left: 5 (67 enodes) 27.068 * * [simplify]: iters left: 4 (134 enodes) 27.108 * * [simplify]: iters left: 3 (407 enodes) 27.366 * * [simplify]: Extracting #0: cost 1 inf + 0 27.366 * * [simplify]: Extracting #1: cost 39 inf + 0 27.367 * * [simplify]: Extracting #2: cost 241 inf + 72 27.370 * * [simplify]: Extracting #3: cost 449 inf + 888 27.387 * * [simplify]: Extracting #4: cost 283 inf + 39678 27.424 * * [simplify]: Extracting #5: cost 24 inf + 116942 27.468 * * [simplify]: Extracting #6: cost 0 inf + 121984 27.511 * * [simplify]: Extracting #7: cost 0 inf + 121983 27.537 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.537 * [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))) 27.537 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 27.537 * [simplify]: Simplifying (* 2 (* n PI)) 27.538 * * [simplify]: iters left: 4 (5 enodes) 27.539 * * [simplify]: iters left: 3 (19 enodes) 27.543 * * [simplify]: iters left: 2 (27 enodes) 27.547 * * [simplify]: iters left: 1 (32 enodes) 27.551 * * [simplify]: Extracting #0: cost 1 inf + 0 27.551 * * [simplify]: Extracting #1: cost 8 inf + 0 27.551 * * [simplify]: Extracting #2: cost 7 inf + 45 27.551 * * [simplify]: Extracting #3: cost 0 inf + 421 27.551 * [simplify]: Simplified to (* (* PI n) 2) 27.551 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.551 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 27.552 * [simplify]: Simplifying (* 2 (* n PI)) 27.552 * * [simplify]: iters left: 4 (5 enodes) 27.553 * * [simplify]: iters left: 3 (19 enodes) 27.558 * * [simplify]: iters left: 2 (27 enodes) 27.562 * * [simplify]: iters left: 1 (32 enodes) 27.566 * * [simplify]: Extracting #0: cost 1 inf + 0 27.566 * * [simplify]: Extracting #1: cost 8 inf + 0 27.567 * * [simplify]: Extracting #2: cost 7 inf + 45 27.567 * * [simplify]: Extracting #3: cost 0 inf + 421 27.567 * [simplify]: Simplified to (* (* PI n) 2) 27.567 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.567 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 27.567 * [simplify]: Simplifying (* 2 (* n PI)) 27.567 * * [simplify]: iters left: 4 (5 enodes) 27.569 * * [simplify]: iters left: 3 (19 enodes) 27.572 * * [simplify]: iters left: 2 (27 enodes) 27.576 * * [simplify]: iters left: 1 (32 enodes) 27.580 * * [simplify]: Extracting #0: cost 1 inf + 0 27.580 * * [simplify]: Extracting #1: cost 8 inf + 0 27.580 * * [simplify]: Extracting #2: cost 7 inf + 45 27.580 * * [simplify]: Extracting #3: cost 0 inf + 421 27.580 * [simplify]: Simplified to (* (* PI n) 2) 27.580 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.580 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 27.581 * [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)))))))))))))))))))))) 27.581 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.581 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 27.581 * [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)))))))) 27.581 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.582 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 27.582 * [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)))))))))))) 27.582 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.582 * * * [progress]: adding candidates to table 29.350 * * [progress]: iteration 2 / 4 29.350 * * * [progress]: picking best candidate 29.379 * * * * [pick]: Picked # 29.379 * * * [progress]: localizing error 29.440 * * * [progress]: generating rewritten candidates 29.440 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 29.458 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 29.471 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 29.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.505 * * * [progress]: generating series expansions 29.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 29.506 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 29.506 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 29.506 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 29.506 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 29.506 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 29.506 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.506 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.506 * [taylor]: Taking taylor expansion of k in k 29.506 * [backup-simplify]: Simplify 0 into 0 29.506 * [backup-simplify]: Simplify 1 into 1 29.506 * [backup-simplify]: Simplify (sqrt 0) into 0 29.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.507 * [taylor]: Taking taylor expansion of 1 in k 29.507 * [backup-simplify]: Simplify 1 into 1 29.507 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.508 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.508 * [taylor]: Taking taylor expansion of 2 in k 29.508 * [backup-simplify]: Simplify 2 into 2 29.508 * [taylor]: Taking taylor expansion of (* n PI) in k 29.508 * [taylor]: Taking taylor expansion of n in k 29.508 * [backup-simplify]: Simplify n into n 29.508 * [taylor]: Taking taylor expansion of PI in k 29.508 * [backup-simplify]: Simplify PI into PI 29.508 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.508 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.508 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.508 * [backup-simplify]: Simplify (+ 0 1) into 1 29.508 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 29.508 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 29.508 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.508 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.508 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.508 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.508 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.508 * [taylor]: Taking taylor expansion of k in n 29.508 * [backup-simplify]: Simplify k into k 29.508 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.508 * [taylor]: Taking taylor expansion of 1 in n 29.508 * [backup-simplify]: Simplify 1 into 1 29.508 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.508 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.508 * [taylor]: Taking taylor expansion of 2 in n 29.508 * [backup-simplify]: Simplify 2 into 2 29.508 * [taylor]: Taking taylor expansion of (* n PI) in n 29.508 * [taylor]: Taking taylor expansion of n in n 29.509 * [backup-simplify]: Simplify 0 into 0 29.509 * [backup-simplify]: Simplify 1 into 1 29.509 * [taylor]: Taking taylor expansion of PI in n 29.509 * [backup-simplify]: Simplify PI into PI 29.509 * [backup-simplify]: Simplify (* 0 PI) into 0 29.509 * [backup-simplify]: Simplify (* 2 0) into 0 29.510 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.512 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.513 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.513 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.514 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.515 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.516 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.516 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.516 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.516 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.517 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.517 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.517 * [taylor]: Taking taylor expansion of k in n 29.517 * [backup-simplify]: Simplify k into k 29.517 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.517 * [taylor]: Taking taylor expansion of 1 in n 29.517 * [backup-simplify]: Simplify 1 into 1 29.517 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.517 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.517 * [taylor]: Taking taylor expansion of 2 in n 29.517 * [backup-simplify]: Simplify 2 into 2 29.517 * [taylor]: Taking taylor expansion of (* n PI) in n 29.517 * [taylor]: Taking taylor expansion of n in n 29.517 * [backup-simplify]: Simplify 0 into 0 29.517 * [backup-simplify]: Simplify 1 into 1 29.517 * [taylor]: Taking taylor expansion of PI in n 29.517 * [backup-simplify]: Simplify PI into PI 29.518 * [backup-simplify]: Simplify (* 0 PI) into 0 29.518 * [backup-simplify]: Simplify (* 2 0) into 0 29.520 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.521 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.522 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.522 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.524 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.525 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.526 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.526 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 29.526 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 29.526 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.526 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.526 * [taylor]: Taking taylor expansion of k in k 29.526 * [backup-simplify]: Simplify 0 into 0 29.526 * [backup-simplify]: Simplify 1 into 1 29.527 * [backup-simplify]: Simplify (sqrt 0) into 0 29.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.528 * [taylor]: Taking taylor expansion of 1 in k 29.528 * [backup-simplify]: Simplify 1 into 1 29.528 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.528 * [taylor]: Taking taylor expansion of (log n) in k 29.528 * [taylor]: Taking taylor expansion of n in k 29.528 * [backup-simplify]: Simplify n into n 29.528 * [backup-simplify]: Simplify (log n) into (log n) 29.528 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.528 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.528 * [taylor]: Taking taylor expansion of 2 in k 29.528 * [backup-simplify]: Simplify 2 into 2 29.528 * [taylor]: Taking taylor expansion of PI in k 29.528 * [backup-simplify]: Simplify PI into PI 29.529 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.530 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.530 * [backup-simplify]: Simplify (+ 0 1) into 1 29.531 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.532 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.533 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 29.534 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 29.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.539 * [backup-simplify]: Simplify (+ 0 0) into 0 29.541 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.542 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.544 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.544 * [taylor]: Taking taylor expansion of 0 in k 29.544 * [backup-simplify]: Simplify 0 into 0 29.544 * [backup-simplify]: Simplify 0 into 0 29.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.545 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.548 * [backup-simplify]: Simplify (+ 0 0) into 0 29.548 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.550 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.553 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 29.557 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 29.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.562 * [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 29.563 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.563 * [backup-simplify]: Simplify (+ 0 0) into 0 29.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.566 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.569 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.569 * [taylor]: Taking taylor expansion of 0 in k 29.569 * [backup-simplify]: Simplify 0 into 0 29.569 * [backup-simplify]: Simplify 0 into 0 29.569 * [backup-simplify]: Simplify 0 into 0 29.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.575 * [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 29.575 * [backup-simplify]: Simplify (+ 0 0) into 0 29.578 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.579 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.587 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 29.594 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 29.609 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 29.610 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 29.610 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 29.610 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 29.610 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 29.610 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 29.610 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 29.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.610 * [taylor]: Taking taylor expansion of k in k 29.610 * [backup-simplify]: Simplify 0 into 0 29.611 * [backup-simplify]: Simplify 1 into 1 29.611 * [backup-simplify]: Simplify (/ 1 1) into 1 29.611 * [backup-simplify]: Simplify (sqrt 0) into 0 29.613 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.613 * [taylor]: Taking taylor expansion of 1 in k 29.613 * [backup-simplify]: Simplify 1 into 1 29.613 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.613 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.613 * [taylor]: Taking taylor expansion of 2 in k 29.613 * [backup-simplify]: Simplify 2 into 2 29.613 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.613 * [taylor]: Taking taylor expansion of PI in k 29.613 * [backup-simplify]: Simplify PI into PI 29.613 * [taylor]: Taking taylor expansion of n in k 29.613 * [backup-simplify]: Simplify n into n 29.613 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.613 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.613 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.614 * [backup-simplify]: Simplify (+ 0 0) into 0 29.614 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 29.614 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 29.614 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 29.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 29.616 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.617 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 29.617 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 29.617 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 29.617 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 29.617 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 29.617 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 29.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.617 * [taylor]: Taking taylor expansion of k in n 29.617 * [backup-simplify]: Simplify k into k 29.617 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.617 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.617 * [taylor]: Taking taylor expansion of 1 in n 29.617 * [backup-simplify]: Simplify 1 into 1 29.618 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.618 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.618 * [taylor]: Taking taylor expansion of 2 in n 29.618 * [backup-simplify]: Simplify 2 into 2 29.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.618 * [taylor]: Taking taylor expansion of PI in n 29.618 * [backup-simplify]: Simplify PI into PI 29.618 * [taylor]: Taking taylor expansion of n in n 29.618 * [backup-simplify]: Simplify 0 into 0 29.618 * [backup-simplify]: Simplify 1 into 1 29.618 * [backup-simplify]: Simplify (/ PI 1) into PI 29.619 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.620 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.620 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 29.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.622 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.623 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 29.623 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 29.623 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 29.623 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 29.623 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 29.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.623 * [taylor]: Taking taylor expansion of k in n 29.623 * [backup-simplify]: Simplify k into k 29.624 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.624 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.624 * [taylor]: Taking taylor expansion of 1 in n 29.624 * [backup-simplify]: Simplify 1 into 1 29.624 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.624 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.624 * [taylor]: Taking taylor expansion of 2 in n 29.624 * [backup-simplify]: Simplify 2 into 2 29.624 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.624 * [taylor]: Taking taylor expansion of PI in n 29.624 * [backup-simplify]: Simplify PI into PI 29.624 * [taylor]: Taking taylor expansion of n in n 29.624 * [backup-simplify]: Simplify 0 into 0 29.624 * [backup-simplify]: Simplify 1 into 1 29.625 * [backup-simplify]: Simplify (/ PI 1) into PI 29.625 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.626 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.626 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 29.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.629 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.630 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 29.630 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 29.630 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 29.630 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 29.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.630 * [taylor]: Taking taylor expansion of k in k 29.630 * [backup-simplify]: Simplify 0 into 0 29.630 * [backup-simplify]: Simplify 1 into 1 29.631 * [backup-simplify]: Simplify (/ 1 1) into 1 29.631 * [backup-simplify]: Simplify (sqrt 0) into 0 29.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.632 * [taylor]: Taking taylor expansion of 1 in k 29.632 * [backup-simplify]: Simplify 1 into 1 29.633 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.633 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.633 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.633 * [taylor]: Taking taylor expansion of 2 in k 29.633 * [backup-simplify]: Simplify 2 into 2 29.633 * [taylor]: Taking taylor expansion of PI in k 29.633 * [backup-simplify]: Simplify PI into PI 29.633 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.634 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.634 * [taylor]: Taking taylor expansion of (log n) in k 29.634 * [taylor]: Taking taylor expansion of n in k 29.634 * [backup-simplify]: Simplify n into n 29.634 * [backup-simplify]: Simplify (log n) into (log n) 29.635 * [backup-simplify]: Simplify (+ 0 0) into 0 29.635 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.636 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.637 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 29.638 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.641 * [backup-simplify]: Simplify (- 0) into 0 29.641 * [backup-simplify]: Simplify (+ 0 0) into 0 29.641 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.646 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.648 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 29.651 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 29.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.655 * [backup-simplify]: Simplify (+ 0 0) into 0 29.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.658 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.660 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.660 * [taylor]: Taking taylor expansion of 0 in k 29.660 * [backup-simplify]: Simplify 0 into 0 29.660 * [backup-simplify]: Simplify 0 into 0 29.661 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.664 * [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 29.666 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.666 * [backup-simplify]: Simplify (- 0) into 0 29.667 * [backup-simplify]: Simplify (+ 0 0) into 0 29.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.671 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.671 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.678 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.683 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 29.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.688 * [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 29.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.690 * [backup-simplify]: Simplify (+ 0 0) into 0 29.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.693 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.695 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.695 * [taylor]: Taking taylor expansion of 0 in k 29.695 * [backup-simplify]: Simplify 0 into 0 29.695 * [backup-simplify]: Simplify 0 into 0 29.695 * [backup-simplify]: Simplify 0 into 0 29.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.703 * [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 29.706 * [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 29.706 * [backup-simplify]: Simplify (- 0) into 0 29.707 * [backup-simplify]: Simplify (+ 0 0) into 0 29.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.713 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.724 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.732 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 29.753 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 29.754 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 29.754 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 29.754 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 29.754 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 29.754 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 29.754 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 29.754 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.754 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.754 * [taylor]: Taking taylor expansion of -1 in k 29.754 * [backup-simplify]: Simplify -1 into -1 29.754 * [taylor]: Taking taylor expansion of k in k 29.754 * [backup-simplify]: Simplify 0 into 0 29.754 * [backup-simplify]: Simplify 1 into 1 29.754 * [backup-simplify]: Simplify (/ -1 1) into -1 29.755 * [backup-simplify]: Simplify (sqrt 0) into 0 29.756 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.756 * [taylor]: Taking taylor expansion of 1 in k 29.756 * [backup-simplify]: Simplify 1 into 1 29.757 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.757 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.757 * [taylor]: Taking taylor expansion of -2 in k 29.757 * [backup-simplify]: Simplify -2 into -2 29.757 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.757 * [taylor]: Taking taylor expansion of PI in k 29.757 * [backup-simplify]: Simplify PI into PI 29.757 * [taylor]: Taking taylor expansion of n in k 29.757 * [backup-simplify]: Simplify n into n 29.757 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.757 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.757 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.757 * [backup-simplify]: Simplify (+ 0 0) into 0 29.758 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 29.758 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 29.758 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 29.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 29.760 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.761 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 29.761 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 29.761 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 29.761 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 29.761 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 29.761 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 29.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.761 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.761 * [taylor]: Taking taylor expansion of -1 in n 29.761 * [backup-simplify]: Simplify -1 into -1 29.761 * [taylor]: Taking taylor expansion of k in n 29.761 * [backup-simplify]: Simplify k into k 29.761 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.761 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.762 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.762 * [taylor]: Taking taylor expansion of 1 in n 29.762 * [backup-simplify]: Simplify 1 into 1 29.762 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.762 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.762 * [taylor]: Taking taylor expansion of -2 in n 29.762 * [backup-simplify]: Simplify -2 into -2 29.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.762 * [taylor]: Taking taylor expansion of PI in n 29.762 * [backup-simplify]: Simplify PI into PI 29.762 * [taylor]: Taking taylor expansion of n in n 29.762 * [backup-simplify]: Simplify 0 into 0 29.762 * [backup-simplify]: Simplify 1 into 1 29.762 * [backup-simplify]: Simplify (/ PI 1) into PI 29.763 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.764 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.764 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 29.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.766 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.767 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 29.768 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 29.768 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 29.768 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 29.768 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 29.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.768 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.768 * [taylor]: Taking taylor expansion of -1 in n 29.768 * [backup-simplify]: Simplify -1 into -1 29.768 * [taylor]: Taking taylor expansion of k in n 29.768 * [backup-simplify]: Simplify k into k 29.768 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.768 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.768 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.768 * [taylor]: Taking taylor expansion of 1 in n 29.768 * [backup-simplify]: Simplify 1 into 1 29.768 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.768 * [taylor]: Taking taylor expansion of -2 in n 29.768 * [backup-simplify]: Simplify -2 into -2 29.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.768 * [taylor]: Taking taylor expansion of PI in n 29.768 * [backup-simplify]: Simplify PI into PI 29.768 * [taylor]: Taking taylor expansion of n in n 29.768 * [backup-simplify]: Simplify 0 into 0 29.768 * [backup-simplify]: Simplify 1 into 1 29.769 * [backup-simplify]: Simplify (/ PI 1) into PI 29.769 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.771 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.771 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 29.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.773 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.774 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 29.774 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 29.774 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 29.774 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.774 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.774 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.774 * [taylor]: Taking taylor expansion of -2 in k 29.774 * [backup-simplify]: Simplify -2 into -2 29.774 * [taylor]: Taking taylor expansion of PI in k 29.774 * [backup-simplify]: Simplify PI into PI 29.774 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.775 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.775 * [taylor]: Taking taylor expansion of (log n) in k 29.775 * [taylor]: Taking taylor expansion of n in k 29.775 * [backup-simplify]: Simplify n into n 29.775 * [backup-simplify]: Simplify (log n) into (log n) 29.775 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 29.775 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.775 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.775 * [taylor]: Taking taylor expansion of -1 in k 29.775 * [backup-simplify]: Simplify -1 into -1 29.775 * [taylor]: Taking taylor expansion of k in k 29.775 * [backup-simplify]: Simplify 0 into 0 29.775 * [backup-simplify]: Simplify 1 into 1 29.776 * [backup-simplify]: Simplify (/ -1 1) into -1 29.776 * [backup-simplify]: Simplify (sqrt 0) into 0 29.777 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.777 * [taylor]: Taking taylor expansion of 1 in k 29.777 * [backup-simplify]: Simplify 1 into 1 29.777 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.777 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.778 * [backup-simplify]: Simplify (+ 0 0) into 0 29.778 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 29.778 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.781 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.783 * [backup-simplify]: Simplify (- 0) into 0 29.783 * [backup-simplify]: Simplify (+ 0 0) into 0 29.784 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.786 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.787 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.788 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.790 * [backup-simplify]: Simplify (+ 0 0) into 0 29.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.791 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.792 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 29.792 * [taylor]: Taking taylor expansion of 0 in k 29.792 * [backup-simplify]: Simplify 0 into 0 29.792 * [backup-simplify]: Simplify 0 into 0 29.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.795 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.795 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.795 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.797 * [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 29.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.798 * [backup-simplify]: Simplify (- 0) into 0 29.799 * [backup-simplify]: Simplify (+ 0 0) into 0 29.800 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.804 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.809 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.812 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.815 * [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 29.815 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.816 * [backup-simplify]: Simplify (+ 0 0) into 0 29.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.819 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.820 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.820 * [taylor]: Taking taylor expansion of 0 in k 29.820 * [backup-simplify]: Simplify 0 into 0 29.820 * [backup-simplify]: Simplify 0 into 0 29.820 * [backup-simplify]: Simplify 0 into 0 29.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.824 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.824 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.828 * [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 29.829 * [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 29.830 * [backup-simplify]: Simplify (- 0) into 0 29.830 * [backup-simplify]: Simplify (+ 0 0) into 0 29.831 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.836 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 29.841 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 29.856 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 29.857 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 29.857 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 29.857 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 29.857 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 29.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 29.857 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 29.858 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 29.858 * [taylor]: Taking taylor expansion of 1/2 in k 29.858 * [backup-simplify]: Simplify 1/2 into 1/2 29.858 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 29.858 * [taylor]: Taking taylor expansion of 1 in k 29.858 * [backup-simplify]: Simplify 1 into 1 29.858 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.858 * [taylor]: Taking taylor expansion of k in k 29.858 * [backup-simplify]: Simplify 0 into 0 29.858 * [backup-simplify]: Simplify 1 into 1 29.858 * [backup-simplify]: Simplify (sqrt 0) into 0 29.859 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.859 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 29.860 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 29.860 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 29.860 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 29.860 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.860 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.860 * [taylor]: Taking taylor expansion of k in k 29.860 * [backup-simplify]: Simplify 0 into 0 29.860 * [backup-simplify]: Simplify 1 into 1 29.860 * [backup-simplify]: Simplify (sqrt 0) into 0 29.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.861 * [taylor]: Taking taylor expansion of 1 in k 29.861 * [backup-simplify]: Simplify 1 into 1 29.861 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.861 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.861 * [taylor]: Taking taylor expansion of 2 in k 29.862 * [backup-simplify]: Simplify 2 into 2 29.862 * [taylor]: Taking taylor expansion of (* n PI) in k 29.862 * [taylor]: Taking taylor expansion of n in k 29.862 * [backup-simplify]: Simplify n into n 29.862 * [taylor]: Taking taylor expansion of PI in k 29.862 * [backup-simplify]: Simplify PI into PI 29.862 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.862 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.862 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.862 * [backup-simplify]: Simplify (+ 0 1) into 1 29.862 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 29.863 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 29.863 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.863 * [backup-simplify]: Simplify (- 0) into 0 29.863 * [backup-simplify]: Simplify (+ 1 0) into 1 29.864 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.864 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.864 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.864 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 29.864 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 29.864 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 29.864 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 29.864 * [taylor]: Taking taylor expansion of 1/2 in n 29.864 * [backup-simplify]: Simplify 1/2 into 1/2 29.864 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 29.864 * [taylor]: Taking taylor expansion of 1 in n 29.864 * [backup-simplify]: Simplify 1 into 1 29.865 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.865 * [taylor]: Taking taylor expansion of k in n 29.865 * [backup-simplify]: Simplify k into k 29.865 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.865 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 29.865 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.865 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.865 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.865 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.865 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.865 * [taylor]: Taking taylor expansion of k in n 29.865 * [backup-simplify]: Simplify k into k 29.865 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.865 * [taylor]: Taking taylor expansion of 1 in n 29.865 * [backup-simplify]: Simplify 1 into 1 29.865 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.865 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.865 * [taylor]: Taking taylor expansion of 2 in n 29.865 * [backup-simplify]: Simplify 2 into 2 29.865 * [taylor]: Taking taylor expansion of (* n PI) in n 29.865 * [taylor]: Taking taylor expansion of n in n 29.865 * [backup-simplify]: Simplify 0 into 0 29.865 * [backup-simplify]: Simplify 1 into 1 29.865 * [taylor]: Taking taylor expansion of PI in n 29.866 * [backup-simplify]: Simplify PI into PI 29.866 * [backup-simplify]: Simplify (* 0 PI) into 0 29.866 * [backup-simplify]: Simplify (* 2 0) into 0 29.868 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.869 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.870 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.870 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.872 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.873 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.874 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.875 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.875 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 29.875 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 29.875 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 29.876 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 29.878 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 29.878 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 29.878 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 29.878 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 29.878 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 29.878 * [taylor]: Taking taylor expansion of 1/2 in n 29.878 * [backup-simplify]: Simplify 1/2 into 1/2 29.878 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 29.878 * [taylor]: Taking taylor expansion of 1 in n 29.878 * [backup-simplify]: Simplify 1 into 1 29.878 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.878 * [taylor]: Taking taylor expansion of k in n 29.878 * [backup-simplify]: Simplify k into k 29.878 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.878 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 29.878 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.878 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.878 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.878 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.878 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.878 * [taylor]: Taking taylor expansion of k in n 29.878 * [backup-simplify]: Simplify k into k 29.878 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.879 * [taylor]: Taking taylor expansion of 1 in n 29.879 * [backup-simplify]: Simplify 1 into 1 29.879 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.879 * [taylor]: Taking taylor expansion of 2 in n 29.879 * [backup-simplify]: Simplify 2 into 2 29.879 * [taylor]: Taking taylor expansion of (* n PI) in n 29.879 * [taylor]: Taking taylor expansion of n in n 29.879 * [backup-simplify]: Simplify 0 into 0 29.879 * [backup-simplify]: Simplify 1 into 1 29.879 * [taylor]: Taking taylor expansion of PI in n 29.879 * [backup-simplify]: Simplify PI into PI 29.879 * [backup-simplify]: Simplify (* 0 PI) into 0 29.880 * [backup-simplify]: Simplify (* 2 0) into 0 29.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.885 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.886 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.886 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.889 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.890 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.891 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.891 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 29.891 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 29.891 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 29.893 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 29.894 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 29.894 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 29.894 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 29.894 * [taylor]: Taking taylor expansion of 1/2 in k 29.894 * [backup-simplify]: Simplify 1/2 into 1/2 29.894 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 29.894 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.894 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.894 * [taylor]: Taking taylor expansion of k in k 29.895 * [backup-simplify]: Simplify 0 into 0 29.895 * [backup-simplify]: Simplify 1 into 1 29.895 * [backup-simplify]: Simplify (sqrt 0) into 0 29.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.897 * [taylor]: Taking taylor expansion of 1 in k 29.897 * [backup-simplify]: Simplify 1 into 1 29.897 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 29.897 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 29.897 * [taylor]: Taking taylor expansion of 1 in k 29.897 * [backup-simplify]: Simplify 1 into 1 29.897 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.897 * [taylor]: Taking taylor expansion of k in k 29.897 * [backup-simplify]: Simplify 0 into 0 29.897 * [backup-simplify]: Simplify 1 into 1 29.897 * [backup-simplify]: Simplify (sqrt 0) into 0 29.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.898 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.898 * [taylor]: Taking taylor expansion of (log n) in k 29.898 * [taylor]: Taking taylor expansion of n in k 29.898 * [backup-simplify]: Simplify n into n 29.898 * [backup-simplify]: Simplify (log n) into (log n) 29.898 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.898 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.898 * [taylor]: Taking taylor expansion of 2 in k 29.898 * [backup-simplify]: Simplify 2 into 2 29.898 * [taylor]: Taking taylor expansion of PI in k 29.898 * [backup-simplify]: Simplify PI into PI 29.899 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.899 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.900 * [backup-simplify]: Simplify (+ 0 1) into 1 29.900 * [backup-simplify]: Simplify (- 0) into 0 29.900 * [backup-simplify]: Simplify (+ 1 0) into 1 29.901 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.901 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.902 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.903 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.903 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.904 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.906 * [backup-simplify]: Simplify (+ 0 0) into 0 29.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.908 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.909 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 29.910 * [backup-simplify]: Simplify (- 0) into 0 29.910 * [backup-simplify]: Simplify (+ 0 0) into 0 29.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 29.911 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 29.913 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.913 * [taylor]: Taking taylor expansion of 0 in k 29.913 * [backup-simplify]: Simplify 0 into 0 29.913 * [backup-simplify]: Simplify 0 into 0 29.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.915 * [backup-simplify]: Simplify (+ 0 0) into 0 29.915 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.916 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.917 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.917 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.919 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.921 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.923 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.926 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 29.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.931 * [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 29.932 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.933 * [backup-simplify]: Simplify (+ 0 0) into 0 29.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.936 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.938 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 29.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.943 * [backup-simplify]: Simplify (- 0) into 0 29.943 * [backup-simplify]: Simplify (+ 0 0) into 0 29.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 29.946 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 29.948 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.948 * [taylor]: Taking taylor expansion of 0 in k 29.948 * [backup-simplify]: Simplify 0 into 0 29.948 * [backup-simplify]: Simplify 0 into 0 29.948 * [backup-simplify]: Simplify 0 into 0 29.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.954 * [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 29.955 * [backup-simplify]: Simplify (+ 0 0) into 0 29.958 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.959 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.959 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.964 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.964 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.968 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.971 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.975 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.979 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 29.991 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 29.992 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 29.992 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 29.992 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 29.992 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 29.992 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 29.992 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 29.992 * [taylor]: Taking taylor expansion of 1/2 in k 29.992 * [backup-simplify]: Simplify 1/2 into 1/2 29.992 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 29.992 * [taylor]: Taking taylor expansion of 1 in k 29.992 * [backup-simplify]: Simplify 1 into 1 29.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.992 * [taylor]: Taking taylor expansion of k in k 29.992 * [backup-simplify]: Simplify 0 into 0 29.992 * [backup-simplify]: Simplify 1 into 1 29.993 * [backup-simplify]: Simplify (/ 1 1) into 1 29.993 * [backup-simplify]: Simplify (sqrt 0) into 0 29.995 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.995 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 29.995 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 29.995 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 29.995 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 29.995 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 29.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.995 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.995 * [taylor]: Taking taylor expansion of k in k 29.995 * [backup-simplify]: Simplify 0 into 0 29.995 * [backup-simplify]: Simplify 1 into 1 29.995 * [backup-simplify]: Simplify (/ 1 1) into 1 29.996 * [backup-simplify]: Simplify (sqrt 0) into 0 29.997 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.997 * [taylor]: Taking taylor expansion of 1 in k 29.997 * [backup-simplify]: Simplify 1 into 1 29.997 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.997 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.997 * [taylor]: Taking taylor expansion of 2 in k 29.997 * [backup-simplify]: Simplify 2 into 2 29.997 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.997 * [taylor]: Taking taylor expansion of PI in k 29.997 * [backup-simplify]: Simplify PI into PI 29.997 * [taylor]: Taking taylor expansion of n in k 29.997 * [backup-simplify]: Simplify n into n 29.997 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.997 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.997 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.998 * [backup-simplify]: Simplify (+ 0 0) into 0 29.998 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 29.998 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 29.999 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 29.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 30.000 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.001 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.001 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 30.001 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.001 * [backup-simplify]: Simplify (- 0) into 0 30.002 * [backup-simplify]: Simplify (+ 0 0) into 0 30.002 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.002 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 30.003 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 30.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 30.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 30.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.009 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.010 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.011 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 30.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 30.013 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.014 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.016 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 30.016 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.017 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 30.017 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 30.017 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 30.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 30.017 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 30.017 * [taylor]: Taking taylor expansion of 1/2 in n 30.017 * [backup-simplify]: Simplify 1/2 into 1/2 30.017 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 30.017 * [taylor]: Taking taylor expansion of 1 in n 30.017 * [backup-simplify]: Simplify 1 into 1 30.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.017 * [taylor]: Taking taylor expansion of k in n 30.017 * [backup-simplify]: Simplify k into k 30.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.017 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.017 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 30.018 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 30.018 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 30.018 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 30.018 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 30.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.018 * [taylor]: Taking taylor expansion of k in n 30.018 * [backup-simplify]: Simplify k into k 30.018 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.018 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.018 * [taylor]: Taking taylor expansion of 1 in n 30.018 * [backup-simplify]: Simplify 1 into 1 30.018 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.018 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.018 * [taylor]: Taking taylor expansion of 2 in n 30.018 * [backup-simplify]: Simplify 2 into 2 30.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.018 * [taylor]: Taking taylor expansion of PI in n 30.018 * [backup-simplify]: Simplify PI into PI 30.018 * [taylor]: Taking taylor expansion of n in n 30.018 * [backup-simplify]: Simplify 0 into 0 30.018 * [backup-simplify]: Simplify 1 into 1 30.019 * [backup-simplify]: Simplify (/ PI 1) into PI 30.019 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.020 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.020 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 30.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.023 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.024 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 30.025 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.026 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 30.026 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 30.026 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 30.027 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 30.028 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 30.028 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 30.028 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 30.028 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 30.028 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 30.028 * [taylor]: Taking taylor expansion of 1/2 in n 30.028 * [backup-simplify]: Simplify 1/2 into 1/2 30.028 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 30.028 * [taylor]: Taking taylor expansion of 1 in n 30.028 * [backup-simplify]: Simplify 1 into 1 30.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.028 * [taylor]: Taking taylor expansion of k in n 30.029 * [backup-simplify]: Simplify k into k 30.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.029 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.029 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 30.029 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 30.029 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 30.029 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 30.029 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 30.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.029 * [taylor]: Taking taylor expansion of k in n 30.029 * [backup-simplify]: Simplify k into k 30.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.029 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.029 * [taylor]: Taking taylor expansion of 1 in n 30.030 * [backup-simplify]: Simplify 1 into 1 30.030 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.030 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.030 * [taylor]: Taking taylor expansion of 2 in n 30.030 * [backup-simplify]: Simplify 2 into 2 30.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.030 * [taylor]: Taking taylor expansion of PI in n 30.030 * [backup-simplify]: Simplify PI into PI 30.030 * [taylor]: Taking taylor expansion of n in n 30.030 * [backup-simplify]: Simplify 0 into 0 30.030 * [backup-simplify]: Simplify 1 into 1 30.030 * [backup-simplify]: Simplify (/ PI 1) into PI 30.031 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.032 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.032 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 30.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.034 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.035 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 30.036 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.036 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 30.036 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 30.036 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 30.036 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 30.037 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 30.037 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 30.037 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 30.037 * [taylor]: Taking taylor expansion of 1/2 in k 30.037 * [backup-simplify]: Simplify 1/2 into 1/2 30.037 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 30.037 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 30.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.037 * [taylor]: Taking taylor expansion of k in k 30.037 * [backup-simplify]: Simplify 0 into 0 30.037 * [backup-simplify]: Simplify 1 into 1 30.038 * [backup-simplify]: Simplify (/ 1 1) into 1 30.038 * [backup-simplify]: Simplify (sqrt 0) into 0 30.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.039 * [taylor]: Taking taylor expansion of 1 in k 30.039 * [backup-simplify]: Simplify 1 into 1 30.039 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 30.039 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 30.039 * [taylor]: Taking taylor expansion of 1 in k 30.039 * [backup-simplify]: Simplify 1 into 1 30.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.039 * [taylor]: Taking taylor expansion of k in k 30.039 * [backup-simplify]: Simplify 0 into 0 30.039 * [backup-simplify]: Simplify 1 into 1 30.039 * [backup-simplify]: Simplify (/ 1 1) into 1 30.039 * [backup-simplify]: Simplify (sqrt 0) into 0 30.040 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.040 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 30.040 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.040 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.040 * [taylor]: Taking taylor expansion of 2 in k 30.040 * [backup-simplify]: Simplify 2 into 2 30.040 * [taylor]: Taking taylor expansion of PI in k 30.040 * [backup-simplify]: Simplify PI into PI 30.041 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.041 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.041 * [taylor]: Taking taylor expansion of (log n) in k 30.041 * [taylor]: Taking taylor expansion of n in k 30.041 * [backup-simplify]: Simplify n into n 30.041 * [backup-simplify]: Simplify (log n) into (log n) 30.042 * [backup-simplify]: Simplify (+ 0 0) into 0 30.042 * [backup-simplify]: Simplify (- 0) into 0 30.042 * [backup-simplify]: Simplify (+ 0 0) into 0 30.042 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.043 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 30.043 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 30.044 * [backup-simplify]: Simplify (* 0 0) into 0 30.044 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.044 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.046 * [backup-simplify]: Simplify (- 0) into 0 30.046 * [backup-simplify]: Simplify (+ 0 0) into 0 30.046 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.047 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.048 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.048 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.050 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 30.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 30.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.053 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.054 * [backup-simplify]: Simplify (- 0) into 0 30.054 * [backup-simplify]: Simplify (+ 0 0) into 0 30.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.056 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.057 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.057 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.061 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.066 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.068 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.071 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 30.073 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 30.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.075 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.077 * [backup-simplify]: Simplify (+ 0 0) into 0 30.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.080 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.082 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 30.084 * [backup-simplify]: Simplify (- 0) into 0 30.085 * [backup-simplify]: Simplify (+ 0 0) into 0 30.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 30.086 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 30.088 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.088 * [taylor]: Taking taylor expansion of 0 in k 30.089 * [backup-simplify]: Simplify 0 into 0 30.089 * [backup-simplify]: Simplify 0 into 0 30.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.095 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.096 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 30.097 * [backup-simplify]: Simplify (- 0) into 0 30.097 * [backup-simplify]: Simplify (+ 0 0) into 0 30.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.100 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.101 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.108 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.112 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.115 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.118 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 30.122 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 30.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.126 * [backup-simplify]: Simplify (+ 0 0) into 0 30.127 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.128 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 30.129 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 30.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.132 * [backup-simplify]: Simplify (- 0) into 0 30.132 * [backup-simplify]: Simplify (+ 0 0) into 0 30.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 30.134 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 30.136 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.136 * [taylor]: Taking taylor expansion of 0 in k 30.136 * [backup-simplify]: Simplify 0 into 0 30.136 * [backup-simplify]: Simplify 0 into 0 30.136 * [backup-simplify]: Simplify 0 into 0 30.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.143 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 30.146 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 30.147 * [backup-simplify]: Simplify (- 0) into 0 30.147 * [backup-simplify]: Simplify (+ 0 0) into 0 30.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.153 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.153 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.154 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.163 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.164 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.175 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.181 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.189 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 30.198 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 30.223 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 30.224 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 30.224 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 30.224 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 30.224 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 30.224 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 30.224 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 30.224 * [taylor]: Taking taylor expansion of 1/2 in k 30.224 * [backup-simplify]: Simplify 1/2 into 1/2 30.224 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 30.224 * [taylor]: Taking taylor expansion of 1 in k 30.224 * [backup-simplify]: Simplify 1 into 1 30.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.224 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.224 * [taylor]: Taking taylor expansion of -1 in k 30.224 * [backup-simplify]: Simplify -1 into -1 30.224 * [taylor]: Taking taylor expansion of k in k 30.224 * [backup-simplify]: Simplify 0 into 0 30.224 * [backup-simplify]: Simplify 1 into 1 30.225 * [backup-simplify]: Simplify (/ -1 1) into -1 30.225 * [backup-simplify]: Simplify (sqrt 0) into 0 30.227 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.227 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 30.227 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 30.227 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 30.227 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 30.227 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 30.227 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.227 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.227 * [taylor]: Taking taylor expansion of -1 in k 30.227 * [backup-simplify]: Simplify -1 into -1 30.227 * [taylor]: Taking taylor expansion of k in k 30.227 * [backup-simplify]: Simplify 0 into 0 30.227 * [backup-simplify]: Simplify 1 into 1 30.227 * [backup-simplify]: Simplify (/ -1 1) into -1 30.228 * [backup-simplify]: Simplify (sqrt 0) into 0 30.229 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.229 * [taylor]: Taking taylor expansion of 1 in k 30.229 * [backup-simplify]: Simplify 1 into 1 30.229 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.229 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.229 * [taylor]: Taking taylor expansion of -2 in k 30.229 * [backup-simplify]: Simplify -2 into -2 30.229 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.229 * [taylor]: Taking taylor expansion of PI in k 30.229 * [backup-simplify]: Simplify PI into PI 30.229 * [taylor]: Taking taylor expansion of n in k 30.230 * [backup-simplify]: Simplify n into n 30.230 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.230 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.230 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.230 * [backup-simplify]: Simplify (+ 0 0) into 0 30.230 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 30.230 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 30.231 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 30.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 30.232 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.234 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.234 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 30.234 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.234 * [backup-simplify]: Simplify (- 0) into 0 30.235 * [backup-simplify]: Simplify (+ 0 0) into 0 30.235 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.235 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 30.235 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 30.236 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 30.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 30.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.242 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.242 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.244 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 30.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 30.245 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.246 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.248 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 30.249 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 30.249 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 30.249 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 30.249 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 30.249 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 30.249 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 30.249 * [taylor]: Taking taylor expansion of 1/2 in n 30.249 * [backup-simplify]: Simplify 1/2 into 1/2 30.249 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 30.249 * [taylor]: Taking taylor expansion of 1 in n 30.249 * [backup-simplify]: Simplify 1 into 1 30.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.249 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.249 * [taylor]: Taking taylor expansion of -1 in n 30.249 * [backup-simplify]: Simplify -1 into -1 30.249 * [taylor]: Taking taylor expansion of k in n 30.249 * [backup-simplify]: Simplify k into k 30.249 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.249 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.250 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.250 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 30.250 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 30.250 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 30.250 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 30.250 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 30.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.250 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.250 * [taylor]: Taking taylor expansion of -1 in n 30.250 * [backup-simplify]: Simplify -1 into -1 30.250 * [taylor]: Taking taylor expansion of k in n 30.250 * [backup-simplify]: Simplify k into k 30.250 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.250 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.250 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.250 * [taylor]: Taking taylor expansion of 1 in n 30.250 * [backup-simplify]: Simplify 1 into 1 30.250 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.250 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.250 * [taylor]: Taking taylor expansion of -2 in n 30.250 * [backup-simplify]: Simplify -2 into -2 30.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.251 * [taylor]: Taking taylor expansion of PI in n 30.251 * [backup-simplify]: Simplify PI into PI 30.251 * [taylor]: Taking taylor expansion of n in n 30.251 * [backup-simplify]: Simplify 0 into 0 30.251 * [backup-simplify]: Simplify 1 into 1 30.251 * [backup-simplify]: Simplify (/ PI 1) into PI 30.252 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.252 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.253 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 30.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.255 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.256 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 30.257 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.257 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 30.257 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 30.257 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 30.259 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 30.260 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 30.260 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 30.260 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 30.260 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 30.260 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 30.260 * [taylor]: Taking taylor expansion of 1/2 in n 30.260 * [backup-simplify]: Simplify 1/2 into 1/2 30.260 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 30.260 * [taylor]: Taking taylor expansion of 1 in n 30.261 * [backup-simplify]: Simplify 1 into 1 30.261 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.261 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.261 * [taylor]: Taking taylor expansion of -1 in n 30.261 * [backup-simplify]: Simplify -1 into -1 30.261 * [taylor]: Taking taylor expansion of k in n 30.261 * [backup-simplify]: Simplify k into k 30.261 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.261 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.261 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.261 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 30.261 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 30.261 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 30.261 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 30.261 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 30.261 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.261 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.261 * [taylor]: Taking taylor expansion of -1 in n 30.261 * [backup-simplify]: Simplify -1 into -1 30.261 * [taylor]: Taking taylor expansion of k in n 30.261 * [backup-simplify]: Simplify k into k 30.261 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.261 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.262 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.262 * [taylor]: Taking taylor expansion of 1 in n 30.262 * [backup-simplify]: Simplify 1 into 1 30.262 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.262 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.262 * [taylor]: Taking taylor expansion of -2 in n 30.262 * [backup-simplify]: Simplify -2 into -2 30.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.262 * [taylor]: Taking taylor expansion of PI in n 30.262 * [backup-simplify]: Simplify PI into PI 30.262 * [taylor]: Taking taylor expansion of n in n 30.262 * [backup-simplify]: Simplify 0 into 0 30.262 * [backup-simplify]: Simplify 1 into 1 30.263 * [backup-simplify]: Simplify (/ PI 1) into PI 30.263 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.264 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.264 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 30.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.267 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.268 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 30.269 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 30.269 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 30.270 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 30.270 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 30.271 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 30.272 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 30.272 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 30.272 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 30.272 * [taylor]: Taking taylor expansion of 1/2 in k 30.272 * [backup-simplify]: Simplify 1/2 into 1/2 30.272 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 30.272 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 30.272 * [taylor]: Taking taylor expansion of 1 in k 30.272 * [backup-simplify]: Simplify 1 into 1 30.272 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.272 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.272 * [taylor]: Taking taylor expansion of -1 in k 30.272 * [backup-simplify]: Simplify -1 into -1 30.272 * [taylor]: Taking taylor expansion of k in k 30.272 * [backup-simplify]: Simplify 0 into 0 30.273 * [backup-simplify]: Simplify 1 into 1 30.273 * [backup-simplify]: Simplify (/ -1 1) into -1 30.273 * [backup-simplify]: Simplify (sqrt 0) into 0 30.275 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.275 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 30.276 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 30.276 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 30.276 * [taylor]: Taking taylor expansion of (* -2 PI) in k 30.276 * [taylor]: Taking taylor expansion of -2 in k 30.276 * [backup-simplify]: Simplify -2 into -2 30.276 * [taylor]: Taking taylor expansion of PI in k 30.276 * [backup-simplify]: Simplify PI into PI 30.276 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.277 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.277 * [taylor]: Taking taylor expansion of (log n) in k 30.277 * [taylor]: Taking taylor expansion of n in k 30.277 * [backup-simplify]: Simplify n into n 30.277 * [backup-simplify]: Simplify (log n) into (log n) 30.277 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 30.278 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.278 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.278 * [taylor]: Taking taylor expansion of -1 in k 30.278 * [backup-simplify]: Simplify -1 into -1 30.278 * [taylor]: Taking taylor expansion of k in k 30.278 * [backup-simplify]: Simplify 0 into 0 30.278 * [backup-simplify]: Simplify 1 into 1 30.278 * [backup-simplify]: Simplify (/ -1 1) into -1 30.279 * [backup-simplify]: Simplify (sqrt 0) into 0 30.280 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.280 * [taylor]: Taking taylor expansion of 1 in k 30.280 * [backup-simplify]: Simplify 1 into 1 30.280 * [backup-simplify]: Simplify (- 0) into 0 30.281 * [backup-simplify]: Simplify (+ 0 0) into 0 30.281 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.282 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 30.283 * [backup-simplify]: Simplify (+ 0 0) into 0 30.284 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 30.284 * [backup-simplify]: Simplify (* 0 0) into 0 30.285 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.285 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.286 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.287 * [backup-simplify]: Simplify (- 0) into 0 30.288 * [backup-simplify]: Simplify (+ 0 0) into 0 30.289 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.289 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.290 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.291 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 30.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 30.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.294 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.294 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.295 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 30.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.298 * [backup-simplify]: Simplify (- 0) into 0 30.298 * [backup-simplify]: Simplify (+ 0 0) into 0 30.300 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.302 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.303 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.307 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 30.308 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.309 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 30.311 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 30.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.312 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.313 * [backup-simplify]: Simplify (+ 0 0) into 0 30.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.315 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 30.316 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 30.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 30.318 * [backup-simplify]: Simplify (- 0) into 0 30.318 * [backup-simplify]: Simplify (+ 0 0) into 0 30.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 30.320 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 30.322 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.322 * [taylor]: Taking taylor expansion of 0 in k 30.322 * [backup-simplify]: Simplify 0 into 0 30.322 * [backup-simplify]: Simplify 0 into 0 30.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.328 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.329 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.335 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 30.339 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 30.340 * [backup-simplify]: Simplify (- 0) into 0 30.340 * [backup-simplify]: Simplify (+ 0 0) into 0 30.341 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.345 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.345 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.351 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 30.353 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.356 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 30.359 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.361 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 30.363 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 30.363 * [backup-simplify]: Simplify (+ 0 0) into 0 30.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.365 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 30.366 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 30.369 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 30.369 * [backup-simplify]: Simplify (- 0) into 0 30.370 * [backup-simplify]: Simplify (+ 0 0) into 0 30.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 30.371 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 30.373 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.373 * [taylor]: Taking taylor expansion of 0 in k 30.373 * [backup-simplify]: Simplify 0 into 0 30.373 * [backup-simplify]: Simplify 0 into 0 30.373 * [backup-simplify]: Simplify 0 into 0 30.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.378 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.379 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.380 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.393 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 30.398 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 30.398 * [backup-simplify]: Simplify (- 0) into 0 30.399 * [backup-simplify]: Simplify (+ 0 0) into 0 30.401 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.405 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.405 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.406 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.413 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 30.417 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.422 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 30.427 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 30.445 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 30.445 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 30.445 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 30.445 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 30.445 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.446 * [taylor]: Taking taylor expansion of 2 in n 30.446 * [backup-simplify]: Simplify 2 into 2 30.446 * [taylor]: Taking taylor expansion of (* n PI) in n 30.446 * [taylor]: Taking taylor expansion of n in n 30.446 * [backup-simplify]: Simplify 0 into 0 30.446 * [backup-simplify]: Simplify 1 into 1 30.446 * [taylor]: Taking taylor expansion of PI in n 30.446 * [backup-simplify]: Simplify PI into PI 30.446 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.446 * [taylor]: Taking taylor expansion of 2 in n 30.446 * [backup-simplify]: Simplify 2 into 2 30.446 * [taylor]: Taking taylor expansion of (* n PI) in n 30.446 * [taylor]: Taking taylor expansion of n in n 30.446 * [backup-simplify]: Simplify 0 into 0 30.446 * [backup-simplify]: Simplify 1 into 1 30.446 * [taylor]: Taking taylor expansion of PI in n 30.446 * [backup-simplify]: Simplify PI into PI 30.446 * [backup-simplify]: Simplify (* 0 PI) into 0 30.447 * [backup-simplify]: Simplify (* 2 0) into 0 30.447 * [backup-simplify]: Simplify 0 into 0 30.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.450 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.450 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.452 * [backup-simplify]: Simplify 0 into 0 30.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.455 * [backup-simplify]: Simplify 0 into 0 30.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.457 * [backup-simplify]: Simplify 0 into 0 30.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 30.460 * [backup-simplify]: Simplify 0 into 0 30.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 30.464 * [backup-simplify]: Simplify 0 into 0 30.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 30.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 30.468 * [backup-simplify]: Simplify 0 into 0 30.468 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 30.469 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 30.469 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 30.469 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.469 * [taylor]: Taking taylor expansion of 2 in n 30.469 * [backup-simplify]: Simplify 2 into 2 30.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.469 * [taylor]: Taking taylor expansion of PI in n 30.469 * [backup-simplify]: Simplify PI into PI 30.469 * [taylor]: Taking taylor expansion of n in n 30.469 * [backup-simplify]: Simplify 0 into 0 30.469 * [backup-simplify]: Simplify 1 into 1 30.470 * [backup-simplify]: Simplify (/ PI 1) into PI 30.470 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.470 * [taylor]: Taking taylor expansion of 2 in n 30.470 * [backup-simplify]: Simplify 2 into 2 30.470 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.470 * [taylor]: Taking taylor expansion of PI in n 30.470 * [backup-simplify]: Simplify PI into PI 30.470 * [taylor]: Taking taylor expansion of n in n 30.470 * [backup-simplify]: Simplify 0 into 0 30.470 * [backup-simplify]: Simplify 1 into 1 30.470 * [backup-simplify]: Simplify (/ PI 1) into PI 30.471 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.471 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.473 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.473 * [backup-simplify]: Simplify 0 into 0 30.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.475 * [backup-simplify]: Simplify 0 into 0 30.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.477 * [backup-simplify]: Simplify 0 into 0 30.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.480 * [backup-simplify]: Simplify 0 into 0 30.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.482 * [backup-simplify]: Simplify 0 into 0 30.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.485 * [backup-simplify]: Simplify 0 into 0 30.486 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 30.487 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 30.487 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 30.487 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.487 * [taylor]: Taking taylor expansion of -2 in n 30.487 * [backup-simplify]: Simplify -2 into -2 30.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.487 * [taylor]: Taking taylor expansion of PI in n 30.487 * [backup-simplify]: Simplify PI into PI 30.487 * [taylor]: Taking taylor expansion of n in n 30.487 * [backup-simplify]: Simplify 0 into 0 30.487 * [backup-simplify]: Simplify 1 into 1 30.487 * [backup-simplify]: Simplify (/ PI 1) into PI 30.487 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.488 * [taylor]: Taking taylor expansion of -2 in n 30.488 * [backup-simplify]: Simplify -2 into -2 30.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.488 * [taylor]: Taking taylor expansion of PI in n 30.488 * [backup-simplify]: Simplify PI into PI 30.488 * [taylor]: Taking taylor expansion of n in n 30.488 * [backup-simplify]: Simplify 0 into 0 30.488 * [backup-simplify]: Simplify 1 into 1 30.488 * [backup-simplify]: Simplify (/ PI 1) into PI 30.489 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.489 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.491 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.491 * [backup-simplify]: Simplify 0 into 0 30.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.493 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.493 * [backup-simplify]: Simplify 0 into 0 30.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.496 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.496 * [backup-simplify]: Simplify 0 into 0 30.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.498 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.498 * [backup-simplify]: Simplify 0 into 0 30.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.501 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.501 * [backup-simplify]: Simplify 0 into 0 30.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.503 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.503 * [backup-simplify]: Simplify 0 into 0 30.504 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 30.504 * * * * [progress]: [ 4 / 4 ] generating series at (2) 30.505 * [backup-simplify]: Simplify (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) into (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) 30.505 * [approximate]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in (n k) around 0 30.505 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in k 30.505 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 30.505 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 30.505 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 30.505 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 30.505 * [taylor]: Taking taylor expansion of 1/2 in k 30.505 * [backup-simplify]: Simplify 1/2 into 1/2 30.505 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 30.505 * [taylor]: Taking taylor expansion of 1 in k 30.505 * [backup-simplify]: Simplify 1 into 1 30.505 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.505 * [taylor]: Taking taylor expansion of k in k 30.505 * [backup-simplify]: Simplify 0 into 0 30.505 * [backup-simplify]: Simplify 1 into 1 30.506 * [backup-simplify]: Simplify (sqrt 0) into 0 30.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.507 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 30.507 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 30.507 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 30.507 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 30.507 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 30.507 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.507 * [taylor]: Taking taylor expansion of k in k 30.507 * [backup-simplify]: Simplify 0 into 0 30.507 * [backup-simplify]: Simplify 1 into 1 30.508 * [backup-simplify]: Simplify (sqrt 0) into 0 30.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.509 * [taylor]: Taking taylor expansion of 1 in k 30.509 * [backup-simplify]: Simplify 1 into 1 30.509 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.509 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.509 * [taylor]: Taking taylor expansion of 2 in k 30.509 * [backup-simplify]: Simplify 2 into 2 30.509 * [taylor]: Taking taylor expansion of (* n PI) in k 30.509 * [taylor]: Taking taylor expansion of n in k 30.509 * [backup-simplify]: Simplify n into n 30.509 * [taylor]: Taking taylor expansion of PI in k 30.509 * [backup-simplify]: Simplify PI into PI 30.509 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.509 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.510 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.510 * [backup-simplify]: Simplify (+ 0 1) into 1 30.510 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 30.510 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 30.510 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.511 * [backup-simplify]: Simplify (- 0) into 0 30.511 * [backup-simplify]: Simplify (+ 1 0) into 1 30.512 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.512 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.512 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.512 * [taylor]: Taking taylor expansion of k in k 30.512 * [backup-simplify]: Simplify 0 into 0 30.512 * [backup-simplify]: Simplify 1 into 1 30.512 * [backup-simplify]: Simplify (/ 1 1) into 1 30.513 * [backup-simplify]: Simplify (sqrt 0) into 0 30.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.514 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in n 30.514 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 30.514 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 30.514 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 30.514 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 30.514 * [taylor]: Taking taylor expansion of 1/2 in n 30.514 * [backup-simplify]: Simplify 1/2 into 1/2 30.514 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 30.514 * [taylor]: Taking taylor expansion of 1 in n 30.514 * [backup-simplify]: Simplify 1 into 1 30.514 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.514 * [taylor]: Taking taylor expansion of k in n 30.514 * [backup-simplify]: Simplify k into k 30.514 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.514 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 30.515 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 30.515 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 30.515 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 30.515 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 30.515 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.515 * [taylor]: Taking taylor expansion of k in n 30.515 * [backup-simplify]: Simplify k into k 30.515 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.515 * [taylor]: Taking taylor expansion of 1 in n 30.515 * [backup-simplify]: Simplify 1 into 1 30.515 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.515 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.515 * [taylor]: Taking taylor expansion of 2 in n 30.515 * [backup-simplify]: Simplify 2 into 2 30.515 * [taylor]: Taking taylor expansion of (* n PI) in n 30.515 * [taylor]: Taking taylor expansion of n in n 30.515 * [backup-simplify]: Simplify 0 into 0 30.515 * [backup-simplify]: Simplify 1 into 1 30.515 * [taylor]: Taking taylor expansion of PI in n 30.515 * [backup-simplify]: Simplify PI into PI 30.516 * [backup-simplify]: Simplify (* 0 PI) into 0 30.516 * [backup-simplify]: Simplify (* 2 0) into 0 30.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.519 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.520 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.520 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 30.521 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.522 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.524 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 30.525 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.525 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 30.525 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 30.525 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 30.526 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 30.527 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 30.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.527 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.527 * [taylor]: Taking taylor expansion of k in n 30.527 * [backup-simplify]: Simplify k into k 30.527 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.528 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.528 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in n 30.528 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 30.528 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 30.528 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 30.528 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 30.528 * [taylor]: Taking taylor expansion of 1/2 in n 30.528 * [backup-simplify]: Simplify 1/2 into 1/2 30.528 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 30.528 * [taylor]: Taking taylor expansion of 1 in n 30.528 * [backup-simplify]: Simplify 1 into 1 30.528 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.528 * [taylor]: Taking taylor expansion of k in n 30.528 * [backup-simplify]: Simplify k into k 30.528 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.528 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 30.528 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 30.528 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 30.528 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 30.528 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 30.528 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.528 * [taylor]: Taking taylor expansion of k in n 30.529 * [backup-simplify]: Simplify k into k 30.529 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.529 * [taylor]: Taking taylor expansion of 1 in n 30.529 * [backup-simplify]: Simplify 1 into 1 30.529 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.529 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.529 * [taylor]: Taking taylor expansion of 2 in n 30.529 * [backup-simplify]: Simplify 2 into 2 30.529 * [taylor]: Taking taylor expansion of (* n PI) in n 30.529 * [taylor]: Taking taylor expansion of n in n 30.529 * [backup-simplify]: Simplify 0 into 0 30.529 * [backup-simplify]: Simplify 1 into 1 30.529 * [taylor]: Taking taylor expansion of PI in n 30.529 * [backup-simplify]: Simplify PI into PI 30.529 * [backup-simplify]: Simplify (* 0 PI) into 0 30.530 * [backup-simplify]: Simplify (* 2 0) into 0 30.531 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.533 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.534 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.534 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 30.535 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.536 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.538 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 30.539 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 30.539 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 30.539 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 30.539 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 30.540 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 30.541 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 30.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.542 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.542 * [taylor]: Taking taylor expansion of k in n 30.542 * [backup-simplify]: Simplify k into k 30.542 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.542 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.543 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) 30.543 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) in k 30.543 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 30.543 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 30.544 * [taylor]: Taking taylor expansion of 1/2 in k 30.544 * [backup-simplify]: Simplify 1/2 into 1/2 30.544 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 30.544 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 30.544 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.544 * [taylor]: Taking taylor expansion of k in k 30.544 * [backup-simplify]: Simplify 0 into 0 30.544 * [backup-simplify]: Simplify 1 into 1 30.544 * [backup-simplify]: Simplify (sqrt 0) into 0 30.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.546 * [taylor]: Taking taylor expansion of 1 in k 30.546 * [backup-simplify]: Simplify 1 into 1 30.546 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 30.546 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 30.546 * [taylor]: Taking taylor expansion of 1 in k 30.546 * [backup-simplify]: Simplify 1 into 1 30.546 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.546 * [taylor]: Taking taylor expansion of k in k 30.546 * [backup-simplify]: Simplify 0 into 0 30.546 * [backup-simplify]: Simplify 1 into 1 30.546 * [backup-simplify]: Simplify (sqrt 0) into 0 30.548 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.548 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 30.548 * [taylor]: Taking taylor expansion of (log n) in k 30.548 * [taylor]: Taking taylor expansion of n in k 30.548 * [backup-simplify]: Simplify n into n 30.548 * [backup-simplify]: Simplify (log n) into (log n) 30.548 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.548 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.548 * [taylor]: Taking taylor expansion of 2 in k 30.548 * [backup-simplify]: Simplify 2 into 2 30.548 * [taylor]: Taking taylor expansion of PI in k 30.548 * [backup-simplify]: Simplify PI into PI 30.548 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.549 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.550 * [backup-simplify]: Simplify (+ 0 1) into 1 30.550 * [backup-simplify]: Simplify (- 0) into 0 30.551 * [backup-simplify]: Simplify (+ 1 0) into 1 30.552 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.553 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.554 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.555 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 30.556 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.556 * [taylor]: Taking taylor expansion of k in k 30.556 * [backup-simplify]: Simplify 0 into 0 30.556 * [backup-simplify]: Simplify 1 into 1 30.557 * [backup-simplify]: Simplify (/ 1 1) into 1 30.557 * [backup-simplify]: Simplify (sqrt 0) into 0 30.558 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.559 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 30.559 * [backup-simplify]: Simplify 0 into 0 30.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.561 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.564 * [backup-simplify]: Simplify (+ 0 0) into 0 30.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.566 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.568 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 30.571 * [backup-simplify]: Simplify (- 0) into 0 30.571 * [backup-simplify]: Simplify (+ 0 0) into 0 30.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 30.573 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 30.577 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.579 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 30.579 * [taylor]: Taking taylor expansion of 0 in k 30.579 * [backup-simplify]: Simplify 0 into 0 30.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.580 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.582 * [backup-simplify]: Simplify (+ 0 0) into 0 30.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.583 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.584 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.585 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.586 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.589 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.591 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.593 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.594 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.596 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.598 * [backup-simplify]: Simplify (+ 0 0) into 0 30.599 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.600 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.601 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 30.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.604 * [backup-simplify]: Simplify (- 0) into 0 30.605 * [backup-simplify]: Simplify (+ 0 0) into 0 30.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 30.606 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 30.608 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.609 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 30.609 * [taylor]: Taking taylor expansion of 0 in k 30.609 * [backup-simplify]: Simplify 0 into 0 30.609 * [backup-simplify]: Simplify 0 into 0 30.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.612 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.615 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.619 * [backup-simplify]: Simplify (+ 0 0) into 0 30.622 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.622 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.623 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.629 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.629 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.635 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.642 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.648 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.661 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 30.666 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 30.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 30.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.675 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 30.677 * [backup-simplify]: Simplify (+ 0 0) into 0 30.678 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.680 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 30.683 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.689 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 6) into 0 30.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 30.690 * [backup-simplify]: Simplify (- 0) into 0 30.691 * [backup-simplify]: Simplify (+ 0 0) into 0 30.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (sqrt k)))))) into 0 30.696 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))))) into 0 30.699 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.701 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 30.702 * [taylor]: Taking taylor expansion of 0 in k 30.702 * [backup-simplify]: Simplify 0 into 0 30.702 * [backup-simplify]: Simplify 0 into 0 30.702 * [backup-simplify]: Simplify 0 into 0 30.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.710 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 30.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.718 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.718 * [backup-simplify]: Simplify (+ 0 0) into 0 30.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.723 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.724 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.731 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.740 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.750 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.762 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.790 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 30.801 * [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)))))))))))))) 30.820 * [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)))))))))))))))))))))) 30.821 * [backup-simplify]: Simplify (/ (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) (sqrt (/ 1 k))) into (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) 30.821 * [approximate]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in (n k) around 0 30.821 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in k 30.821 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 30.821 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 30.821 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 30.821 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 30.821 * [taylor]: Taking taylor expansion of 1/2 in k 30.821 * [backup-simplify]: Simplify 1/2 into 1/2 30.821 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 30.821 * [taylor]: Taking taylor expansion of 1 in k 30.821 * [backup-simplify]: Simplify 1 into 1 30.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.821 * [taylor]: Taking taylor expansion of k in k 30.821 * [backup-simplify]: Simplify 0 into 0 30.821 * [backup-simplify]: Simplify 1 into 1 30.822 * [backup-simplify]: Simplify (/ 1 1) into 1 30.822 * [backup-simplify]: Simplify (sqrt 0) into 0 30.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.823 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 30.823 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 30.823 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 30.823 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 30.823 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 30.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.823 * [taylor]: Taking taylor expansion of k in k 30.823 * [backup-simplify]: Simplify 0 into 0 30.823 * [backup-simplify]: Simplify 1 into 1 30.823 * [backup-simplify]: Simplify (/ 1 1) into 1 30.824 * [backup-simplify]: Simplify (sqrt 0) into 0 30.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.824 * [taylor]: Taking taylor expansion of 1 in k 30.824 * [backup-simplify]: Simplify 1 into 1 30.824 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.824 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.824 * [taylor]: Taking taylor expansion of 2 in k 30.824 * [backup-simplify]: Simplify 2 into 2 30.824 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.824 * [taylor]: Taking taylor expansion of PI in k 30.824 * [backup-simplify]: Simplify PI into PI 30.824 * [taylor]: Taking taylor expansion of n in k 30.825 * [backup-simplify]: Simplify n into n 30.825 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.825 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.825 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.825 * [backup-simplify]: Simplify (+ 0 0) into 0 30.825 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 30.825 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 30.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 30.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 30.828 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.829 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.829 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 30.829 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.829 * [backup-simplify]: Simplify (- 0) into 0 30.829 * [backup-simplify]: Simplify (+ 0 0) into 0 30.830 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.830 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 30.830 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 30.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 30.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 30.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.834 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.834 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.835 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 30.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 30.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.836 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.838 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 30.838 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 30.838 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 30.838 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.838 * [taylor]: Taking taylor expansion of k in k 30.838 * [backup-simplify]: Simplify 0 into 0 30.838 * [backup-simplify]: Simplify 1 into 1 30.838 * [backup-simplify]: Simplify (sqrt 0) into 0 30.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.839 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in n 30.839 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 30.839 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 30.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 30.839 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 30.839 * [taylor]: Taking taylor expansion of 1/2 in n 30.839 * [backup-simplify]: Simplify 1/2 into 1/2 30.839 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 30.839 * [taylor]: Taking taylor expansion of 1 in n 30.839 * [backup-simplify]: Simplify 1 into 1 30.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.839 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.839 * [taylor]: Taking taylor expansion of k in n 30.839 * [backup-simplify]: Simplify k into k 30.840 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.840 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.840 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 30.840 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 30.840 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 30.840 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 30.840 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 30.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.840 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.840 * [taylor]: Taking taylor expansion of k in n 30.840 * [backup-simplify]: Simplify k into k 30.840 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.840 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.840 * [taylor]: Taking taylor expansion of 1 in n 30.840 * [backup-simplify]: Simplify 1 into 1 30.840 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.840 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.840 * [taylor]: Taking taylor expansion of 2 in n 30.840 * [backup-simplify]: Simplify 2 into 2 30.840 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.840 * [taylor]: Taking taylor expansion of PI in n 30.840 * [backup-simplify]: Simplify PI into PI 30.840 * [taylor]: Taking taylor expansion of n in n 30.840 * [backup-simplify]: Simplify 0 into 0 30.840 * [backup-simplify]: Simplify 1 into 1 30.841 * [backup-simplify]: Simplify (/ PI 1) into PI 30.841 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.841 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.842 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 30.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.843 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.844 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 30.844 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.844 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 30.844 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 30.845 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 30.845 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 30.846 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 30.846 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.846 * [taylor]: Taking taylor expansion of k in n 30.846 * [backup-simplify]: Simplify k into k 30.846 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.846 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in n 30.846 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 30.846 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 30.846 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 30.846 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 30.846 * [taylor]: Taking taylor expansion of 1/2 in n 30.846 * [backup-simplify]: Simplify 1/2 into 1/2 30.846 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 30.846 * [taylor]: Taking taylor expansion of 1 in n 30.846 * [backup-simplify]: Simplify 1 into 1 30.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.846 * [taylor]: Taking taylor expansion of k in n 30.846 * [backup-simplify]: Simplify k into k 30.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.847 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.847 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 30.847 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 30.847 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 30.847 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 30.847 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 30.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.847 * [taylor]: Taking taylor expansion of k in n 30.847 * [backup-simplify]: Simplify k into k 30.847 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.847 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.847 * [taylor]: Taking taylor expansion of 1 in n 30.847 * [backup-simplify]: Simplify 1 into 1 30.847 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.847 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.847 * [taylor]: Taking taylor expansion of 2 in n 30.847 * [backup-simplify]: Simplify 2 into 2 30.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.847 * [taylor]: Taking taylor expansion of PI in n 30.847 * [backup-simplify]: Simplify PI into PI 30.847 * [taylor]: Taking taylor expansion of n in n 30.847 * [backup-simplify]: Simplify 0 into 0 30.847 * [backup-simplify]: Simplify 1 into 1 30.847 * [backup-simplify]: Simplify (/ PI 1) into PI 30.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.848 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.848 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 30.849 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.850 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.851 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 30.851 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 30.851 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 30.852 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 30.852 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 30.852 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 30.853 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 30.853 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.853 * [taylor]: Taking taylor expansion of k in n 30.853 * [backup-simplify]: Simplify k into k 30.853 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.854 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (sqrt k)) into (* (sqrt k) (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 30.854 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) in k 30.854 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.854 * [taylor]: Taking taylor expansion of k in k 30.854 * [backup-simplify]: Simplify 0 into 0 30.854 * [backup-simplify]: Simplify 1 into 1 30.854 * [backup-simplify]: Simplify (sqrt 0) into 0 30.855 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.855 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 30.855 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 30.855 * [taylor]: Taking taylor expansion of 1/2 in k 30.855 * [backup-simplify]: Simplify 1/2 into 1/2 30.855 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 30.855 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 30.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.855 * [taylor]: Taking taylor expansion of k in k 30.855 * [backup-simplify]: Simplify 0 into 0 30.855 * [backup-simplify]: Simplify 1 into 1 30.856 * [backup-simplify]: Simplify (/ 1 1) into 1 30.856 * [backup-simplify]: Simplify (sqrt 0) into 0 30.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.857 * [taylor]: Taking taylor expansion of 1 in k 30.857 * [backup-simplify]: Simplify 1 into 1 30.857 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 30.857 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 30.857 * [taylor]: Taking taylor expansion of 1 in k 30.857 * [backup-simplify]: Simplify 1 into 1 30.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.857 * [taylor]: Taking taylor expansion of k in k 30.857 * [backup-simplify]: Simplify 0 into 0 30.857 * [backup-simplify]: Simplify 1 into 1 30.857 * [backup-simplify]: Simplify (/ 1 1) into 1 30.857 * [backup-simplify]: Simplify (sqrt 0) into 0 30.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.858 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 30.858 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.858 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.858 * [taylor]: Taking taylor expansion of 2 in k 30.858 * [backup-simplify]: Simplify 2 into 2 30.858 * [taylor]: Taking taylor expansion of PI in k 30.858 * [backup-simplify]: Simplify PI into PI 30.859 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.859 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.859 * [taylor]: Taking taylor expansion of (log n) in k 30.859 * [taylor]: Taking taylor expansion of n in k 30.859 * [backup-simplify]: Simplify n into n 30.859 * [backup-simplify]: Simplify (log n) into (log n) 30.860 * [backup-simplify]: Simplify (+ 0 0) into 0 30.860 * [backup-simplify]: Simplify (- 0) into 0 30.860 * [backup-simplify]: Simplify (+ 0 0) into 0 30.860 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.861 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 30.861 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 30.862 * [backup-simplify]: Simplify (* 0 0) into 0 30.862 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.864 * [backup-simplify]: Simplify (- 0) into 0 30.864 * [backup-simplify]: Simplify (+ 0 0) into 0 30.865 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.865 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 30.867 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.867 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 30.869 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 30.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 30.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.871 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.872 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.873 * [backup-simplify]: Simplify (- 0) into 0 30.873 * [backup-simplify]: Simplify (+ 0 0) into 0 30.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.875 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.875 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.876 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.880 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.880 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.883 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.884 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.886 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 30.887 * [backup-simplify]: Simplify (* 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into 0 30.888 * [backup-simplify]: Simplify 0 into 0 30.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.889 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.890 * [backup-simplify]: Simplify (+ 0 0) into 0 30.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.891 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.892 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 30.894 * [backup-simplify]: Simplify (- 0) into 0 30.894 * [backup-simplify]: Simplify (+ 0 0) into 0 30.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 30.895 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 30.897 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.897 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (* 0 (sqrt k))) into 0 30.897 * [taylor]: Taking taylor expansion of 0 in k 30.897 * [backup-simplify]: Simplify 0 into 0 30.897 * [backup-simplify]: Simplify 0 into 0 30.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.901 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.903 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 30.903 * [backup-simplify]: Simplify (- 0) into 0 30.903 * [backup-simplify]: Simplify (+ 0 0) into 0 30.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.906 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.907 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.914 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.919 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.921 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 30.924 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 30.929 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 30.931 * [backup-simplify]: Simplify (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 30.932 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 30.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.938 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.939 * [backup-simplify]: Simplify (+ 0 0) into 0 30.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.942 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 30.945 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 30.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 30.950 * [backup-simplify]: Simplify (- 0) into 0 30.950 * [backup-simplify]: Simplify (+ 0 0) into 0 30.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 30.953 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 30.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.957 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 30.957 * [taylor]: Taking taylor expansion of 0 in k 30.957 * [backup-simplify]: Simplify 0 into 0 30.957 * [backup-simplify]: Simplify 0 into 0 30.957 * [backup-simplify]: Simplify 0 into 0 30.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.971 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 30.975 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 30.975 * [backup-simplify]: Simplify (- 0) into 0 30.976 * [backup-simplify]: Simplify (+ 0 0) into 0 30.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.979 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.979 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.980 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 30.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.985 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.985 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 30.992 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 30.995 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.000 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 31.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.016 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) 31.025 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) 31.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 31.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.035 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 31.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 31.036 * [backup-simplify]: Simplify (+ 0 0) into 0 31.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.040 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 31.043 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 31.049 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 6) into 0 31.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 31.051 * [backup-simplify]: Simplify (- 0) into 0 31.051 * [backup-simplify]: Simplify (+ 0 0) into 0 31.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k))))))) into 0 31.054 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))))) into 0 31.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 31.059 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 31.059 * [taylor]: Taking taylor expansion of 0 in k 31.059 * [backup-simplify]: Simplify 0 into 0 31.059 * [backup-simplify]: Simplify 0 into 0 31.059 * [backup-simplify]: Simplify 0 into 0 31.059 * [backup-simplify]: Simplify 0 into 0 31.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.079 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 31.087 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow n 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow n 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow n 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow n 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow n 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow n 1)))) 120) into 0 31.088 * [backup-simplify]: Simplify (- 0) into 0 31.088 * [backup-simplify]: Simplify (+ 0 0) into 0 31.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.095 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.096 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.107 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.121 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 31.129 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 31.143 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 31.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.178 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) 31.190 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) 31.219 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 3)))))))))))))))))))))) 31.220 * [backup-simplify]: Simplify (/ (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) 31.220 * [approximate]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in (n k) around 0 31.220 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in k 31.220 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 31.220 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 31.220 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 31.220 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 31.220 * [taylor]: Taking taylor expansion of 1/2 in k 31.220 * [backup-simplify]: Simplify 1/2 into 1/2 31.221 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 31.221 * [taylor]: Taking taylor expansion of 1 in k 31.221 * [backup-simplify]: Simplify 1 into 1 31.221 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.221 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.221 * [taylor]: Taking taylor expansion of -1 in k 31.221 * [backup-simplify]: Simplify -1 into -1 31.221 * [taylor]: Taking taylor expansion of k in k 31.221 * [backup-simplify]: Simplify 0 into 0 31.221 * [backup-simplify]: Simplify 1 into 1 31.221 * [backup-simplify]: Simplify (/ -1 1) into -1 31.222 * [backup-simplify]: Simplify (sqrt 0) into 0 31.223 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.223 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 31.223 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 31.223 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 31.223 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 31.223 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 31.223 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.223 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.223 * [taylor]: Taking taylor expansion of -1 in k 31.223 * [backup-simplify]: Simplify -1 into -1 31.223 * [taylor]: Taking taylor expansion of k in k 31.224 * [backup-simplify]: Simplify 0 into 0 31.224 * [backup-simplify]: Simplify 1 into 1 31.224 * [backup-simplify]: Simplify (/ -1 1) into -1 31.224 * [backup-simplify]: Simplify (sqrt 0) into 0 31.226 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.226 * [taylor]: Taking taylor expansion of 1 in k 31.226 * [backup-simplify]: Simplify 1 into 1 31.226 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 31.226 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 31.226 * [taylor]: Taking taylor expansion of -2 in k 31.226 * [backup-simplify]: Simplify -2 into -2 31.226 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.226 * [taylor]: Taking taylor expansion of PI in k 31.226 * [backup-simplify]: Simplify PI into PI 31.226 * [taylor]: Taking taylor expansion of n in k 31.226 * [backup-simplify]: Simplify n into n 31.226 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.226 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 31.226 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 31.227 * [backup-simplify]: Simplify (+ 0 0) into 0 31.227 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 31.227 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 31.228 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 31.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 31.229 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 31.230 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.230 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 31.230 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.231 * [backup-simplify]: Simplify (- 0) into 0 31.231 * [backup-simplify]: Simplify (+ 0 0) into 0 31.232 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.232 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 31.232 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 31.233 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 31.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 31.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.238 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.239 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.241 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 31.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 31.242 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.243 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 31.245 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 31.245 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 31.246 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 31.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.246 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.246 * [taylor]: Taking taylor expansion of -1 in k 31.246 * [backup-simplify]: Simplify -1 into -1 31.246 * [taylor]: Taking taylor expansion of k in k 31.246 * [backup-simplify]: Simplify 0 into 0 31.246 * [backup-simplify]: Simplify 1 into 1 31.246 * [backup-simplify]: Simplify (/ -1 1) into -1 31.247 * [backup-simplify]: Simplify (sqrt 0) into 0 31.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.248 * [backup-simplify]: Simplify (/ (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 31.249 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n 31.249 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 31.249 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 31.249 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 31.249 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 31.249 * [taylor]: Taking taylor expansion of 1/2 in n 31.249 * [backup-simplify]: Simplify 1/2 into 1/2 31.249 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 31.249 * [taylor]: Taking taylor expansion of 1 in n 31.249 * [backup-simplify]: Simplify 1 into 1 31.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.249 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.249 * [taylor]: Taking taylor expansion of -1 in n 31.249 * [backup-simplify]: Simplify -1 into -1 31.249 * [taylor]: Taking taylor expansion of k in n 31.249 * [backup-simplify]: Simplify k into k 31.249 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.249 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.249 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.249 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 31.249 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 31.249 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 31.249 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 31.249 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 31.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.250 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.250 * [taylor]: Taking taylor expansion of -1 in n 31.250 * [backup-simplify]: Simplify -1 into -1 31.250 * [taylor]: Taking taylor expansion of k in n 31.250 * [backup-simplify]: Simplify k into k 31.250 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.250 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.250 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.250 * [taylor]: Taking taylor expansion of 1 in n 31.250 * [backup-simplify]: Simplify 1 into 1 31.250 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.250 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.250 * [taylor]: Taking taylor expansion of -2 in n 31.250 * [backup-simplify]: Simplify -2 into -2 31.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.250 * [taylor]: Taking taylor expansion of PI in n 31.250 * [backup-simplify]: Simplify PI into PI 31.250 * [taylor]: Taking taylor expansion of n in n 31.250 * [backup-simplify]: Simplify 0 into 0 31.250 * [backup-simplify]: Simplify 1 into 1 31.251 * [backup-simplify]: Simplify (/ PI 1) into PI 31.251 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.252 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.252 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 31.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.255 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.256 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 31.257 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.257 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 31.257 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 31.257 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 31.259 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 31.260 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 31.260 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.260 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.260 * [taylor]: Taking taylor expansion of -1 in n 31.260 * [backup-simplify]: Simplify -1 into -1 31.260 * [taylor]: Taking taylor expansion of k in n 31.260 * [backup-simplify]: Simplify k into k 31.260 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.260 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.261 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.262 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) 31.262 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n 31.262 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 31.262 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 31.262 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 31.262 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 31.262 * [taylor]: Taking taylor expansion of 1/2 in n 31.262 * [backup-simplify]: Simplify 1/2 into 1/2 31.262 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 31.262 * [taylor]: Taking taylor expansion of 1 in n 31.262 * [backup-simplify]: Simplify 1 into 1 31.262 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.262 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.262 * [taylor]: Taking taylor expansion of -1 in n 31.262 * [backup-simplify]: Simplify -1 into -1 31.262 * [taylor]: Taking taylor expansion of k in n 31.262 * [backup-simplify]: Simplify k into k 31.262 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.263 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.263 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.263 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 31.263 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 31.263 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 31.263 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 31.263 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 31.263 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.263 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.263 * [taylor]: Taking taylor expansion of -1 in n 31.263 * [backup-simplify]: Simplify -1 into -1 31.263 * [taylor]: Taking taylor expansion of k in n 31.263 * [backup-simplify]: Simplify k into k 31.263 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.263 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.263 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.263 * [taylor]: Taking taylor expansion of 1 in n 31.264 * [backup-simplify]: Simplify 1 into 1 31.264 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.264 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.264 * [taylor]: Taking taylor expansion of -2 in n 31.264 * [backup-simplify]: Simplify -2 into -2 31.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.264 * [taylor]: Taking taylor expansion of PI in n 31.264 * [backup-simplify]: Simplify PI into PI 31.264 * [taylor]: Taking taylor expansion of n in n 31.264 * [backup-simplify]: Simplify 0 into 0 31.264 * [backup-simplify]: Simplify 1 into 1 31.264 * [backup-simplify]: Simplify (/ PI 1) into PI 31.265 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.266 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.266 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 31.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.268 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.272 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 31.273 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 31.273 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 31.274 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 31.274 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 31.275 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 31.276 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 31.276 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.276 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.276 * [taylor]: Taking taylor expansion of -1 in n 31.276 * [backup-simplify]: Simplify -1 into -1 31.276 * [taylor]: Taking taylor expansion of k in n 31.276 * [backup-simplify]: Simplify k into k 31.276 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.276 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.277 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.278 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) 31.278 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) in k 31.278 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 31.278 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 31.278 * [taylor]: Taking taylor expansion of 1/2 in k 31.278 * [backup-simplify]: Simplify 1/2 into 1/2 31.278 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 31.278 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 31.278 * [taylor]: Taking taylor expansion of 1 in k 31.278 * [backup-simplify]: Simplify 1 into 1 31.278 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.278 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.278 * [taylor]: Taking taylor expansion of -1 in k 31.278 * [backup-simplify]: Simplify -1 into -1 31.278 * [taylor]: Taking taylor expansion of k in k 31.278 * [backup-simplify]: Simplify 0 into 0 31.278 * [backup-simplify]: Simplify 1 into 1 31.279 * [backup-simplify]: Simplify (/ -1 1) into -1 31.279 * [backup-simplify]: Simplify (sqrt 0) into 0 31.281 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.281 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 31.281 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 31.281 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 31.281 * [taylor]: Taking taylor expansion of (* -2 PI) in k 31.281 * [taylor]: Taking taylor expansion of -2 in k 31.281 * [backup-simplify]: Simplify -2 into -2 31.281 * [taylor]: Taking taylor expansion of PI in k 31.281 * [backup-simplify]: Simplify PI into PI 31.281 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.283 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.283 * [taylor]: Taking taylor expansion of (log n) in k 31.283 * [taylor]: Taking taylor expansion of n in k 31.283 * [backup-simplify]: Simplify n into n 31.283 * [backup-simplify]: Simplify (log n) into (log n) 31.283 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 31.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.283 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.283 * [taylor]: Taking taylor expansion of -1 in k 31.283 * [backup-simplify]: Simplify -1 into -1 31.283 * [taylor]: Taking taylor expansion of k in k 31.283 * [backup-simplify]: Simplify 0 into 0 31.283 * [backup-simplify]: Simplify 1 into 1 31.283 * [backup-simplify]: Simplify (/ -1 1) into -1 31.284 * [backup-simplify]: Simplify (sqrt 0) into 0 31.285 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.285 * [taylor]: Taking taylor expansion of 1 in k 31.285 * [backup-simplify]: Simplify 1 into 1 31.286 * [backup-simplify]: Simplify (- 0) into 0 31.286 * [backup-simplify]: Simplify (+ 0 0) into 0 31.286 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.287 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 31.287 * [backup-simplify]: Simplify (+ 0 0) into 0 31.288 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 31.289 * [backup-simplify]: Simplify (* 0 0) into 0 31.289 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.290 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 31.290 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.293 * [backup-simplify]: Simplify (- 0) into 0 31.294 * [backup-simplify]: Simplify (+ 0 0) into 0 31.295 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.296 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.297 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 31.300 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 31.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 31.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.304 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.305 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.306 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 31.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.312 * [backup-simplify]: Simplify (- 0) into 0 31.312 * [backup-simplify]: Simplify (+ 0 0) into 0 31.314 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.319 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.319 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.320 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.326 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 31.329 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.332 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 31.332 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.332 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.332 * [taylor]: Taking taylor expansion of -1 in k 31.332 * [backup-simplify]: Simplify -1 into -1 31.332 * [taylor]: Taking taylor expansion of k in k 31.332 * [backup-simplify]: Simplify 0 into 0 31.332 * [backup-simplify]: Simplify 1 into 1 31.332 * [backup-simplify]: Simplify (/ -1 1) into -1 31.333 * [backup-simplify]: Simplify (sqrt 0) into 0 31.334 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.337 * [backup-simplify]: Simplify (/ (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) +nan.0) into (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 31.339 * [backup-simplify]: Simplify (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 31.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.341 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.343 * [backup-simplify]: Simplify (+ 0 0) into 0 31.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.346 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 31.348 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 31.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 31.350 * [backup-simplify]: Simplify (- 0) into 0 31.351 * [backup-simplify]: Simplify (+ 0 0) into 0 31.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 31.353 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 31.354 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.355 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 31.355 * [taylor]: Taking taylor expansion of 0 in k 31.355 * [backup-simplify]: Simplify 0 into 0 31.355 * [backup-simplify]: Simplify 0 into 0 31.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.358 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.359 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.362 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 31.364 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 31.364 * [backup-simplify]: Simplify (- 0) into 0 31.365 * [backup-simplify]: Simplify (+ 0 0) into 0 31.366 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.370 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.375 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 31.378 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.381 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 31.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.393 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) +nan.0) (+ (* (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 31.402 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 31.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.405 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 31.408 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.410 * [backup-simplify]: Simplify (+ 0 0) into 0 31.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.412 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 31.415 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.418 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 31.418 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.419 * [backup-simplify]: Simplify (- 0) into 0 31.419 * [backup-simplify]: Simplify (+ 0 0) into 0 31.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 31.421 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 31.422 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.422 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.424 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 31.424 * [taylor]: Taking taylor expansion of 0 in k 31.424 * [backup-simplify]: Simplify 0 into 0 31.424 * [backup-simplify]: Simplify 0 into 0 31.424 * [backup-simplify]: Simplify 0 into 0 31.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.428 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.428 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 31.429 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.435 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 31.438 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 31.438 * [backup-simplify]: Simplify (- 0) into 0 31.439 * [backup-simplify]: Simplify (+ 0 0) into 0 31.440 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.444 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.444 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.445 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 31.453 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 31.459 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 31.465 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 31.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.481 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) 31.498 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) 31.528 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (/ 1 (- n))))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (* (log (/ 1 (- n))) (log (* -2 PI)))))))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (/ 1 (- n))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))) into (- (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))))))))) 31.529 * * * [progress]: simplifying candidates 31.529 * * * * [progress]: [ 1 / 209 ] simplifiying candidate # 31.529 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 31.529 * * [simplify]: iters left: 6 (14 enodes) 31.533 * * [simplify]: iters left: 5 (50 enodes) 31.541 * * [simplify]: iters left: 4 (84 enodes) 31.564 * * [simplify]: iters left: 3 (223 enodes) 31.674 * * [simplify]: iters left: 2 (417 enodes) 31.969 * * [simplify]: Extracting #0: cost 1 inf + 0 31.969 * * [simplify]: Extracting #1: cost 82 inf + 0 31.971 * * [simplify]: Extracting #2: cost 286 inf + 1 31.977 * * [simplify]: Extracting #3: cost 273 inf + 2455 31.982 * * [simplify]: Extracting #4: cost 237 inf + 11703 32.001 * * [simplify]: Extracting #5: cost 42 inf + 77895 32.019 * * [simplify]: Extracting #6: cost 0 inf + 92866 32.044 * * [simplify]: Extracting #7: cost 0 inf + 92863 32.062 * [simplify]: Simplified to (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI)))) 32.062 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.063 * * * * [progress]: [ 2 / 209 ] simplifiying candidate # 32.063 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 32.063 * * [simplify]: iters left: 6 (13 enodes) 32.067 * * [simplify]: iters left: 5 (48 enodes) 32.077 * * [simplify]: iters left: 4 (77 enodes) 32.092 * * [simplify]: iters left: 3 (175 enodes) 32.162 * * [simplify]: iters left: 2 (359 enodes) 32.400 * * [simplify]: Extracting #0: cost 1 inf + 0 32.401 * * [simplify]: Extracting #1: cost 77 inf + 0 32.402 * * [simplify]: Extracting #2: cost 249 inf + 1 32.405 * * [simplify]: Extracting #3: cost 238 inf + 1489 32.408 * * [simplify]: Extracting #4: cost 225 inf + 3319 32.413 * * [simplify]: Extracting #5: cost 184 inf + 14577 32.429 * * [simplify]: Extracting #6: cost 20 inf + 68948 32.443 * * [simplify]: Extracting #7: cost 0 inf + 76453 32.463 * * [simplify]: Extracting #8: cost 0 inf + 76372 32.492 * [simplify]: Simplified to (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI)))) 32.493 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.493 * * * * [progress]: [ 3 / 209 ] simplifiying candidate # 32.493 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 32.493 * * [simplify]: iters left: 6 (12 enodes) 32.500 * * [simplify]: iters left: 5 (47 enodes) 32.516 * * [simplify]: iters left: 4 (84 enodes) 32.547 * * [simplify]: iters left: 3 (178 enodes) 32.604 * * [simplify]: iters left: 2 (374 enodes) 32.816 * * [simplify]: Extracting #0: cost 1 inf + 0 32.816 * * [simplify]: Extracting #1: cost 80 inf + 0 32.818 * * [simplify]: Extracting #2: cost 245 inf + 1 32.820 * * [simplify]: Extracting #3: cost 238 inf + 986 32.824 * * [simplify]: Extracting #4: cost 201 inf + 6718 32.842 * * [simplify]: Extracting #5: cost 27 inf + 57296 32.869 * * [simplify]: Extracting #6: cost 0 inf + 66670 32.897 * [simplify]: Simplified to (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n))) 32.897 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.897 * * * * [progress]: [ 4 / 209 ] simplifiying candidate # 32.897 * * * * [progress]: [ 5 / 209 ] simplifiying candidate # 32.898 * [simplify]: Simplifying (* n (* 2 PI)) 32.898 * * [simplify]: iters left: 4 (5 enodes) 32.901 * * [simplify]: iters left: 3 (19 enodes) 32.906 * * [simplify]: iters left: 2 (27 enodes) 32.918 * * [simplify]: iters left: 1 (32 enodes) 32.926 * * [simplify]: Extracting #0: cost 1 inf + 0 32.926 * * [simplify]: Extracting #1: cost 8 inf + 0 32.926 * * [simplify]: Extracting #2: cost 7 inf + 45 32.927 * * [simplify]: Extracting #3: cost 0 inf + 421 32.927 * [simplify]: Simplified to (* (* PI 2) n) 32.927 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.927 * * * * [progress]: [ 6 / 209 ] simplifiying candidate # 32.928 * [simplify]: Simplifying (* n (* 2 PI)) 32.928 * * [simplify]: iters left: 4 (5 enodes) 32.931 * * [simplify]: iters left: 3 (19 enodes) 32.936 * * [simplify]: iters left: 2 (27 enodes) 32.944 * * [simplify]: iters left: 1 (32 enodes) 32.953 * * [simplify]: Extracting #0: cost 1 inf + 0 32.953 * * [simplify]: Extracting #1: cost 8 inf + 0 32.953 * * [simplify]: Extracting #2: cost 7 inf + 45 32.953 * * [simplify]: Extracting #3: cost 0 inf + 421 32.953 * [simplify]: Simplified to (* (* PI 2) n) 32.953 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.953 * * * * [progress]: [ 7 / 209 ] simplifiying candidate # 32.954 * [simplify]: Simplifying (* n (* 2 PI)) 32.954 * * [simplify]: iters left: 4 (5 enodes) 32.957 * * [simplify]: iters left: 3 (19 enodes) 32.963 * * [simplify]: iters left: 2 (27 enodes) 32.971 * * [simplify]: iters left: 1 (32 enodes) 32.978 * * [simplify]: Extracting #0: cost 1 inf + 0 32.978 * * [simplify]: Extracting #1: cost 8 inf + 0 32.979 * * [simplify]: Extracting #2: cost 7 inf + 45 32.979 * * [simplify]: Extracting #3: cost 0 inf + 421 32.979 * [simplify]: Simplified to (* (* PI 2) n) 32.979 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.979 * * * * [progress]: [ 8 / 209 ] simplifiying candidate # 32.980 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 32.980 * * [simplify]: iters left: 6 (6 enodes) 32.983 * * [simplify]: iters left: 5 (19 enodes) 32.989 * * [simplify]: iters left: 4 (21 enodes) 32.995 * * [simplify]: Extracting #0: cost 1 inf + 0 32.995 * * [simplify]: Extracting #1: cost 3 inf + 0 32.995 * * [simplify]: Extracting #2: cost 6 inf + 0 32.995 * * [simplify]: Extracting #3: cost 7 inf + 1 32.995 * * [simplify]: Extracting #4: cost 0 inf + 572 32.995 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 32.995 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 32.995 * * * * [progress]: [ 9 / 209 ] simplifiying candidate # 32.996 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 32.996 * * [simplify]: iters left: 6 (6 enodes) 32.998 * * [simplify]: iters left: 5 (19 enodes) 33.001 * * [simplify]: iters left: 4 (21 enodes) 33.004 * * [simplify]: Extracting #0: cost 1 inf + 0 33.004 * * [simplify]: Extracting #1: cost 3 inf + 0 33.004 * * [simplify]: Extracting #2: cost 6 inf + 0 33.004 * * [simplify]: Extracting #3: cost 7 inf + 1 33.004 * * [simplify]: Extracting #4: cost 0 inf + 492 33.004 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.004 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.004 * * * * [progress]: [ 10 / 209 ] simplifiying candidate # 33.005 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 33.005 * * [simplify]: iters left: 6 (7 enodes) 33.007 * * [simplify]: iters left: 5 (24 enodes) 33.010 * * [simplify]: iters left: 4 (26 enodes) 33.014 * * [simplify]: iters left: 3 (28 enodes) 33.017 * * [simplify]: Extracting #0: cost 1 inf + 0 33.017 * * [simplify]: Extracting #1: cost 4 inf + 0 33.017 * * [simplify]: Extracting #2: cost 5 inf + 1 33.017 * * [simplify]: Extracting #3: cost 7 inf + 1 33.017 * * [simplify]: Extracting #4: cost 0 inf + 572 33.018 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 33.018 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.018 * * * * [progress]: [ 11 / 209 ] simplifiying candidate # 33.018 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 33.018 * * [simplify]: iters left: 6 (7 enodes) 33.020 * * [simplify]: iters left: 5 (24 enodes) 33.023 * * [simplify]: iters left: 4 (26 enodes) 33.028 * * [simplify]: iters left: 3 (28 enodes) 33.034 * * [simplify]: Extracting #0: cost 1 inf + 0 33.034 * * [simplify]: Extracting #1: cost 4 inf + 0 33.034 * * [simplify]: Extracting #2: cost 5 inf + 1 33.035 * * [simplify]: Extracting #3: cost 7 inf + 1 33.035 * * [simplify]: Extracting #4: cost 0 inf + 572 33.035 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 33.035 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.035 * * * * [progress]: [ 12 / 209 ] simplifiying candidate # 33.036 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 33.036 * * [simplify]: iters left: 6 (6 enodes) 33.039 * * [simplify]: iters left: 5 (19 enodes) 33.043 * * [simplify]: iters left: 4 (21 enodes) 33.048 * * [simplify]: Extracting #0: cost 1 inf + 0 33.048 * * [simplify]: Extracting #1: cost 4 inf + 0 33.048 * * [simplify]: Extracting #2: cost 5 inf + 1 33.048 * * [simplify]: Extracting #3: cost 7 inf + 1 33.048 * * [simplify]: Extracting #4: cost 0 inf + 572 33.048 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 33.048 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.048 * * * * [progress]: [ 13 / 209 ] simplifiying candidate # 33.049 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 33.049 * * [simplify]: iters left: 6 (7 enodes) 33.051 * * [simplify]: iters left: 5 (24 enodes) 33.055 * * [simplify]: iters left: 4 (26 enodes) 33.058 * * [simplify]: iters left: 3 (28 enodes) 33.062 * * [simplify]: Extracting #0: cost 1 inf + 0 33.062 * * [simplify]: Extracting #1: cost 4 inf + 0 33.062 * * [simplify]: Extracting #2: cost 5 inf + 1 33.062 * * [simplify]: Extracting #3: cost 7 inf + 1 33.062 * * [simplify]: Extracting #4: cost 0 inf + 492 33.062 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.062 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.062 * * * * [progress]: [ 14 / 209 ] simplifiying candidate # 33.062 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 33.062 * * [simplify]: iters left: 6 (7 enodes) 33.064 * * [simplify]: iters left: 5 (24 enodes) 33.068 * * [simplify]: iters left: 4 (26 enodes) 33.072 * * [simplify]: iters left: 3 (28 enodes) 33.079 * * [simplify]: Extracting #0: cost 1 inf + 0 33.079 * * [simplify]: Extracting #1: cost 4 inf + 0 33.079 * * [simplify]: Extracting #2: cost 5 inf + 1 33.079 * * [simplify]: Extracting #3: cost 7 inf + 1 33.079 * * [simplify]: Extracting #4: cost 0 inf + 492 33.079 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.079 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.080 * * * * [progress]: [ 15 / 209 ] simplifiying candidate # 33.080 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 33.080 * * [simplify]: iters left: 6 (6 enodes) 33.083 * * [simplify]: iters left: 5 (19 enodes) 33.087 * * [simplify]: iters left: 4 (21 enodes) 33.091 * * [simplify]: Extracting #0: cost 1 inf + 0 33.091 * * [simplify]: Extracting #1: cost 4 inf + 0 33.091 * * [simplify]: Extracting #2: cost 5 inf + 1 33.091 * * [simplify]: Extracting #3: cost 7 inf + 1 33.091 * * [simplify]: Extracting #4: cost 0 inf + 492 33.091 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 33.091 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.091 * * * * [progress]: [ 16 / 209 ] simplifiying candidate # 33.091 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 33.091 * * [simplify]: iters left: 5 (6 enodes) 33.094 * * [simplify]: iters left: 4 (21 enodes) 33.097 * * [simplify]: iters left: 3 (23 enodes) 33.101 * * [simplify]: iters left: 2 (25 enodes) 33.104 * * [simplify]: Extracting #0: cost 1 inf + 0 33.104 * * [simplify]: Extracting #1: cost 4 inf + 0 33.104 * * [simplify]: Extracting #2: cost 5 inf + 1 33.104 * * [simplify]: Extracting #3: cost 4 inf + 2 33.104 * * [simplify]: Extracting #4: cost 1 inf + 166 33.104 * * [simplify]: Extracting #5: cost 0 inf + 248 33.104 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.104 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.104 * * * * [progress]: [ 17 / 209 ] simplifiying candidate # 33.104 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 33.104 * * [simplify]: iters left: 5 (6 enodes) 33.107 * * [simplify]: iters left: 4 (21 enodes) 33.110 * * [simplify]: iters left: 3 (23 enodes) 33.113 * * [simplify]: iters left: 2 (25 enodes) 33.119 * * [simplify]: Extracting #0: cost 1 inf + 0 33.119 * * [simplify]: Extracting #1: cost 4 inf + 0 33.119 * * [simplify]: Extracting #2: cost 5 inf + 1 33.119 * * [simplify]: Extracting #3: cost 4 inf + 2 33.119 * * [simplify]: Extracting #4: cost 1 inf + 166 33.119 * * [simplify]: Extracting #5: cost 0 inf + 248 33.120 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.120 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.120 * * * * [progress]: [ 18 / 209 ] simplifiying candidate # 33.120 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 33.120 * * [simplify]: iters left: 5 (5 enodes) 33.123 * * [simplify]: iters left: 4 (16 enodes) 33.128 * * [simplify]: iters left: 3 (18 enodes) 33.133 * * [simplify]: Extracting #0: cost 1 inf + 0 33.133 * * [simplify]: Extracting #1: cost 4 inf + 0 33.133 * * [simplify]: Extracting #2: cost 5 inf + 1 33.134 * * [simplify]: Extracting #3: cost 1 inf + 166 33.134 * * [simplify]: Extracting #4: cost 0 inf + 248 33.134 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.134 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.134 * * * * [progress]: [ 19 / 209 ] simplifiying candidate # 33.134 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 33.134 * * [simplify]: iters left: 5 (7 enodes) 33.140 * * [simplify]: iters left: 4 (24 enodes) 33.147 * * [simplify]: iters left: 3 (26 enodes) 33.154 * * [simplify]: iters left: 2 (28 enodes) 33.163 * * [simplify]: Extracting #0: cost 1 inf + 0 33.163 * * [simplify]: Extracting #1: cost 4 inf + 0 33.163 * * [simplify]: Extracting #2: cost 5 inf + 1 33.163 * * [simplify]: Extracting #3: cost 4 inf + 2 33.163 * * [simplify]: Extracting #4: cost 1 inf + 166 33.163 * * [simplify]: Extracting #5: cost 0 inf + 248 33.164 * [simplify]: Simplified to (+ (sqrt k) 1) 33.164 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.164 * * * * [progress]: [ 20 / 209 ] simplifiying candidate # 33.164 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 33.164 * * [simplify]: iters left: 5 (6 enodes) 33.168 * * [simplify]: iters left: 4 (21 enodes) 33.174 * * [simplify]: iters left: 3 (23 enodes) 33.181 * * [simplify]: iters left: 2 (25 enodes) 33.186 * * [simplify]: Extracting #0: cost 1 inf + 0 33.186 * * [simplify]: Extracting #1: cost 4 inf + 0 33.186 * * [simplify]: Extracting #2: cost 5 inf + 1 33.186 * * [simplify]: Extracting #3: cost 1 inf + 166 33.186 * * [simplify]: Extracting #4: cost 0 inf + 248 33.187 * [simplify]: Simplified to (+ (sqrt k) 1) 33.187 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.187 * * * * [progress]: [ 21 / 209 ] simplifiying candidate # 33.187 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 33.187 * * [simplify]: iters left: 5 (6 enodes) 33.189 * * [simplify]: iters left: 4 (19 enodes) 33.191 * * [simplify]: iters left: 3 (21 enodes) 33.194 * * [simplify]: Extracting #0: cost 1 inf + 0 33.194 * * [simplify]: Extracting #1: cost 4 inf + 0 33.194 * * [simplify]: Extracting #2: cost 5 inf + 1 33.194 * * [simplify]: Extracting #3: cost 0 inf + 248 33.195 * [simplify]: Simplified to (+ (sqrt k) 1) 33.195 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.195 * * * * [progress]: [ 22 / 209 ] simplifiying candidate # 33.195 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 33.195 * * [simplify]: iters left: 5 (6 enodes) 33.197 * * [simplify]: iters left: 4 (21 enodes) 33.201 * * [simplify]: iters left: 3 (23 enodes) 33.204 * * [simplify]: iters left: 2 (25 enodes) 33.207 * * [simplify]: Extracting #0: cost 1 inf + 0 33.207 * * [simplify]: Extracting #1: cost 4 inf + 0 33.207 * * [simplify]: Extracting #2: cost 5 inf + 1 33.207 * * [simplify]: Extracting #3: cost 4 inf + 2 33.207 * * [simplify]: Extracting #4: cost 1 inf + 166 33.207 * * [simplify]: Extracting #5: cost 0 inf + 248 33.207 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.207 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.207 * * * * [progress]: [ 23 / 209 ] simplifiying candidate # 33.208 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 33.208 * * [simplify]: iters left: 5 (6 enodes) 33.210 * * [simplify]: iters left: 4 (21 enodes) 33.213 * * [simplify]: iters left: 3 (23 enodes) 33.216 * * [simplify]: iters left: 2 (25 enodes) 33.221 * * [simplify]: Extracting #0: cost 1 inf + 0 33.221 * * [simplify]: Extracting #1: cost 4 inf + 0 33.221 * * [simplify]: Extracting #2: cost 5 inf + 1 33.221 * * [simplify]: Extracting #3: cost 4 inf + 2 33.222 * * [simplify]: Extracting #4: cost 1 inf + 166 33.222 * * [simplify]: Extracting #5: cost 0 inf + 248 33.222 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.222 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.222 * * * * [progress]: [ 24 / 209 ] simplifiying candidate # 33.222 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 33.223 * * [simplify]: iters left: 5 (5 enodes) 33.225 * * [simplify]: iters left: 4 (16 enodes) 33.230 * * [simplify]: iters left: 3 (18 enodes) 33.235 * * [simplify]: Extracting #0: cost 1 inf + 0 33.235 * * [simplify]: Extracting #1: cost 4 inf + 0 33.235 * * [simplify]: Extracting #2: cost 5 inf + 1 33.236 * * [simplify]: Extracting #3: cost 1 inf + 166 33.236 * * [simplify]: Extracting #4: cost 0 inf + 248 33.236 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.236 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.236 * * * * [progress]: [ 25 / 209 ] simplifiying candidate # 33.236 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 33.237 * * [simplify]: iters left: 5 (5 enodes) 33.239 * * [simplify]: iters left: 4 (16 enodes) 33.244 * * [simplify]: iters left: 3 (18 enodes) 33.249 * * [simplify]: Extracting #0: cost 1 inf + 0 33.249 * * [simplify]: Extracting #1: cost 4 inf + 0 33.249 * * [simplify]: Extracting #2: cost 5 inf + 1 33.250 * * [simplify]: Extracting #3: cost 1 inf + 166 33.250 * * [simplify]: Extracting #4: cost 0 inf + 248 33.250 * [simplify]: Simplified to (+ 1 (sqrt k)) 33.250 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.250 * * * * [progress]: [ 26 / 209 ] simplifiying candidate # 33.251 * [simplify]: Simplifying (/ 1 1) 33.251 * * [simplify]: iters left: 2 (2 enodes) 33.252 * * [simplify]: iters left: 1 (6 enodes) 33.254 * * [simplify]: Extracting #0: cost 1 inf + 0 33.254 * * [simplify]: Extracting #1: cost 0 inf + 1 33.254 * [simplify]: Simplified to 1 33.254 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.254 * * * * [progress]: [ 27 / 209 ] simplifiying candidate # 33.255 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 33.255 * * [simplify]: iters left: 6 (7 enodes) 33.258 * * [simplify]: iters left: 5 (26 enodes) 33.267 * * [simplify]: iters left: 4 (39 enodes) 33.275 * * [simplify]: iters left: 3 (65 enodes) 33.290 * * [simplify]: iters left: 2 (127 enodes) 33.315 * * [simplify]: iters left: 1 (256 enodes) 33.430 * * [simplify]: Extracting #0: cost 1 inf + 0 33.430 * * [simplify]: Extracting #1: cost 26 inf + 0 33.430 * * [simplify]: Extracting #2: cost 88 inf + 2 33.431 * * [simplify]: Extracting #3: cost 119 inf + 7 33.431 * * [simplify]: Extracting #4: cost 116 inf + 135 33.432 * * [simplify]: Extracting #5: cost 97 inf + 2803 33.435 * * [simplify]: Extracting #6: cost 40 inf + 25495 33.441 * * [simplify]: Extracting #7: cost 11 inf + 43817 33.448 * * [simplify]: Extracting #8: cost 0 inf + 52114 33.455 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 33.455 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 33.455 * * * * [progress]: [ 28 / 209 ] simplifiying candidate # 33.455 * * * * [progress]: [ 29 / 209 ] simplifiying candidate # 33.455 * * * * [progress]: [ 30 / 209 ] simplifiying candidate # 33.456 * * * * [progress]: [ 31 / 209 ] simplifiying candidate # 33.456 * * * * [progress]: [ 32 / 209 ] simplifiying candidate # 33.456 * * * * [progress]: [ 33 / 209 ] simplifiying candidate # 33.456 * * * * [progress]: [ 34 / 209 ] simplifiying candidate # 33.456 * * * * [progress]: [ 35 / 209 ] simplifiying candidate # 33.456 * * * * [progress]: [ 36 / 209 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> 33.456 * * * * [progress]: [ 37 / 209 ] simplifiying candidate # 33.456 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 33.456 * * [simplify]: iters left: 6 (17 enodes) 33.464 * * [simplify]: iters left: 5 (70 enodes) 33.483 * * [simplify]: iters left: 4 (136 enodes) 33.540 * * [simplify]: Extracting #0: cost 1 inf + 0 33.540 * * [simplify]: Extracting #1: cost 51 inf + 0 33.540 * * [simplify]: Extracting #2: cost 133 inf + 2 33.541 * * [simplify]: Extracting #3: cost 177 inf + 186 33.541 * * [simplify]: Extracting #4: cost 167 inf + 1031 33.543 * * [simplify]: Extracting #5: cost 114 inf + 10315 33.549 * * [simplify]: Extracting #6: cost 16 inf + 41953 33.560 * * [simplify]: Extracting #7: cost 0 inf + 47757 33.569 * [simplify]: Simplified to (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)) 33.569 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 33.569 * * * * [progress]: [ 38 / 209 ] simplifiying candidate # 33.569 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 33.569 * * [simplify]: iters left: 6 (16 enodes) 33.574 * * [simplify]: iters left: 5 (68 enodes) 33.598 * * [simplify]: iters left: 4 (129 enodes) 33.663 * * [simplify]: iters left: 3 (421 enodes) 33.946 * * [simplify]: Extracting #0: cost 1 inf + 0 33.946 * * [simplify]: Extracting #1: cost 67 inf + 0 33.947 * * [simplify]: Extracting #2: cost 263 inf + 2 33.948 * * [simplify]: Extracting #3: cost 375 inf + 74 33.958 * * [simplify]: Extracting #4: cost 228 inf + 37236 33.987 * * [simplify]: Extracting #5: cost 17 inf + 103523 34.015 * * [simplify]: Extracting #6: cost 0 inf + 111259 34.063 * * [simplify]: Extracting #7: cost 0 inf + 111252 34.107 * [simplify]: Simplified to (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) 34.107 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 34.107 * * * * [progress]: [ 39 / 209 ] simplifiying candidate # 34.107 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 34.107 * * [simplify]: iters left: 6 (15 enodes) 34.112 * * [simplify]: iters left: 5 (67 enodes) 34.124 * * [simplify]: iters left: 4 (136 enodes) 34.165 * * [simplify]: iters left: 3 (395 enodes) 34.402 * * [simplify]: Extracting #0: cost 1 inf + 0 34.403 * * [simplify]: Extracting #1: cost 63 inf + 0 34.403 * * [simplify]: Extracting #2: cost 241 inf + 2 34.405 * * [simplify]: Extracting #3: cost 359 inf + 298 34.407 * * [simplify]: Extracting #4: cost 307 inf + 10117 34.423 * * [simplify]: Extracting #5: cost 143 inf + 53720 34.442 * * [simplify]: Extracting #6: cost 16 inf + 89644 34.472 * * [simplify]: Extracting #7: cost 0 inf + 95108 34.519 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 34.519 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 34.520 * * * * [progress]: [ 40 / 209 ] simplifiying candidate # 34.520 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 34.520 * * [simplify]: iters left: 6 (15 enodes) 34.528 * * [simplify]: iters left: 5 (67 enodes) 34.551 * * [simplify]: iters left: 4 (136 enodes) 34.584 * * [simplify]: iters left: 3 (395 enodes) 34.798 * * [simplify]: Extracting #0: cost 1 inf + 0 34.798 * * [simplify]: Extracting #1: cost 63 inf + 0 34.800 * * [simplify]: Extracting #2: cost 241 inf + 2 34.802 * * [simplify]: Extracting #3: cost 359 inf + 298 34.807 * * [simplify]: Extracting #4: cost 307 inf + 10117 34.825 * * [simplify]: Extracting #5: cost 143 inf + 53720 34.843 * * [simplify]: Extracting #6: cost 16 inf + 89644 34.884 * * [simplify]: Extracting #7: cost 0 inf + 95108 34.927 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 34.927 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 34.928 * * * * [progress]: [ 41 / 209 ] simplifiying candidate # 34.928 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 34.928 * * [simplify]: iters left: 6 (15 enodes) 34.933 * * [simplify]: iters left: 5 (64 enodes) 34.946 * * [simplify]: iters left: 4 (120 enodes) 34.978 * * [simplify]: iters left: 3 (293 enodes) 35.160 * * [simplify]: Extracting #0: cost 1 inf + 0 35.160 * * [simplify]: Extracting #1: cost 53 inf + 0 35.160 * * [simplify]: Extracting #2: cost 235 inf + 2 35.162 * * [simplify]: Extracting #3: cost 342 inf + 298 35.164 * * [simplify]: Extracting #4: cost 274 inf + 14535 35.175 * * [simplify]: Extracting #5: cost 61 inf + 69533 35.195 * * [simplify]: Extracting #6: cost 10 inf + 85983 35.233 * * [simplify]: Extracting #7: cost 0 inf + 90234 35.269 * * [simplify]: Extracting #8: cost 0 inf + 90025 35.299 * [simplify]: Simplified to (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2) 35.299 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2)) (sqrt k))) 35.299 * * * * [progress]: [ 42 / 209 ] simplifiying candidate # 35.299 * * * * [progress]: [ 43 / 209 ] simplifiying candidate # 35.300 * [simplify]: Simplifying (* n (* 2 PI)) 35.300 * * [simplify]: iters left: 4 (5 enodes) 35.301 * * [simplify]: iters left: 3 (19 enodes) 35.304 * * [simplify]: iters left: 2 (27 enodes) 35.308 * * [simplify]: iters left: 1 (32 enodes) 35.312 * * [simplify]: Extracting #0: cost 1 inf + 0 35.312 * * [simplify]: Extracting #1: cost 8 inf + 0 35.312 * * [simplify]: Extracting #2: cost 7 inf + 45 35.312 * * [simplify]: Extracting #3: cost 0 inf + 421 35.312 * [simplify]: Simplified to (* (* PI 2) n) 35.312 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 35.312 * * * * [progress]: [ 44 / 209 ] simplifiying candidate # 35.313 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 35.313 * * [simplify]: iters left: 6 (13 enodes) 35.316 * * [simplify]: iters left: 5 (50 enodes) 35.325 * * [simplify]: iters left: 4 (81 enodes) 35.340 * * [simplify]: iters left: 3 (136 enodes) 35.364 * * [simplify]: iters left: 2 (257 enodes) 35.416 * * [simplify]: Extracting #0: cost 1 inf + 0 35.416 * * [simplify]: Extracting #1: cost 13 inf + 0 35.416 * * [simplify]: Extracting #2: cost 63 inf + 1 35.417 * * [simplify]: Extracting #3: cost 125 inf + 5 35.417 * * [simplify]: Extracting #4: cost 134 inf + 507 35.420 * * [simplify]: Extracting #5: cost 59 inf + 22010 35.427 * * [simplify]: Extracting #6: cost 3 inf + 53599 35.436 * * [simplify]: Extracting #7: cost 0 inf + 56180 35.451 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 35.451 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))) (sqrt k))) 35.452 * * * * [progress]: [ 45 / 209 ] simplifiying candidate # 35.452 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 35.452 * * [simplify]: iters left: 6 (7 enodes) 35.457 * * [simplify]: iters left: 5 (29 enodes) 35.466 * * [simplify]: iters left: 4 (38 enodes) 35.477 * * [simplify]: Extracting #0: cost 1 inf + 0 35.477 * * [simplify]: Extracting #1: cost 3 inf + 0 35.477 * * [simplify]: Extracting #2: cost 8 inf + 0 35.478 * * [simplify]: Extracting #3: cost 11 inf + 2 35.478 * * [simplify]: Extracting #4: cost 13 inf + 3 35.478 * * [simplify]: Extracting #5: cost 12 inf + 4 35.478 * * [simplify]: Extracting #6: cost 3 inf + 740 35.478 * * [simplify]: Extracting #7: cost 0 inf + 1228 35.479 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 35.479 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2)))) (sqrt k))) 35.479 * * * * [progress]: [ 46 / 209 ] simplifiying candidate # 35.479 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 35.479 * * [simplify]: iters left: 6 (7 enodes) 35.483 * * [simplify]: iters left: 5 (29 enodes) 35.488 * * [simplify]: iters left: 4 (38 enodes) 35.494 * * [simplify]: Extracting #0: cost 1 inf + 0 35.494 * * [simplify]: Extracting #1: cost 3 inf + 0 35.494 * * [simplify]: Extracting #2: cost 8 inf + 0 35.494 * * [simplify]: Extracting #3: cost 11 inf + 2 35.494 * * [simplify]: Extracting #4: cost 13 inf + 3 35.494 * * [simplify]: Extracting #5: cost 12 inf + 4 35.495 * * [simplify]: Extracting #6: cost 3 inf + 740 35.495 * * [simplify]: Extracting #7: cost 0 inf + 1148 35.495 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 35.495 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2)))) (sqrt k))) 35.495 * * * * [progress]: [ 47 / 209 ] simplifiying candidate # 35.495 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 35.495 * * [simplify]: iters left: 6 (8 enodes) 35.498 * * [simplify]: iters left: 5 (28 enodes) 35.503 * * [simplify]: iters left: 4 (33 enodes) 35.508 * * [simplify]: Extracting #0: cost 1 inf + 0 35.508 * * [simplify]: Extracting #1: cost 4 inf + 0 35.508 * * [simplify]: Extracting #2: cost 8 inf + 0 35.508 * * [simplify]: Extracting #3: cost 9 inf + 163 35.508 * * [simplify]: Extracting #4: cost 11 inf + 164 35.508 * * [simplify]: Extracting #5: cost 10 inf + 165 35.508 * * [simplify]: Extracting #6: cost 5 inf + 491 35.508 * * [simplify]: Extracting #7: cost 0 inf + 1463 35.508 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 35.508 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2))) (sqrt k))) 35.509 * * * * [progress]: [ 48 / 209 ] simplifiying candidate # 35.509 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 35.509 * * [simplify]: iters left: 6 (8 enodes) 35.511 * * [simplify]: iters left: 5 (28 enodes) 35.521 * * [simplify]: iters left: 4 (33 enodes) 35.531 * * [simplify]: Extracting #0: cost 1 inf + 0 35.531 * * [simplify]: Extracting #1: cost 4 inf + 0 35.531 * * [simplify]: Extracting #2: cost 8 inf + 0 35.531 * * [simplify]: Extracting #3: cost 9 inf + 83 35.531 * * [simplify]: Extracting #4: cost 11 inf + 84 35.532 * * [simplify]: Extracting #5: cost 10 inf + 85 35.532 * * [simplify]: Extracting #6: cost 5 inf + 411 35.532 * * [simplify]: Extracting #7: cost 0 inf + 1303 35.533 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 35.533 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2))) (sqrt k))) 35.533 * * * * [progress]: [ 49 / 209 ] simplifiying candidate # 35.533 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 35.534 * * [simplify]: iters left: 6 (7 enodes) 35.538 * * [simplify]: iters left: 5 (25 enodes) 35.542 * * [simplify]: iters left: 4 (30 enodes) 35.546 * * [simplify]: Extracting #0: cost 1 inf + 0 35.546 * * [simplify]: Extracting #1: cost 4 inf + 0 35.546 * * [simplify]: Extracting #2: cost 5 inf + 1 35.546 * * [simplify]: Extracting #3: cost 9 inf + 1 35.546 * * [simplify]: Extracting #4: cost 11 inf + 2 35.546 * * [simplify]: Extracting #5: cost 10 inf + 3 35.546 * * [simplify]: Extracting #6: cost 5 inf + 330 35.546 * * [simplify]: Extracting #7: cost 2 inf + 776 35.547 * * [simplify]: Extracting #8: cost 0 inf + 1141 35.547 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 35.547 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2)) (sqrt k))) 35.547 * * * * [progress]: [ 50 / 209 ] simplifiying candidate # 35.547 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 35.547 * * [simplify]: iters left: 6 (8 enodes) 35.550 * * [simplify]: iters left: 5 (28 enodes) 35.554 * * [simplify]: iters left: 4 (33 enodes) 35.559 * * [simplify]: Extracting #0: cost 1 inf + 0 35.559 * * [simplify]: Extracting #1: cost 4 inf + 0 35.559 * * [simplify]: Extracting #2: cost 8 inf + 0 35.559 * * [simplify]: Extracting #3: cost 9 inf + 163 35.560 * * [simplify]: Extracting #4: cost 11 inf + 164 35.560 * * [simplify]: Extracting #5: cost 10 inf + 165 35.560 * * [simplify]: Extracting #6: cost 5 inf + 491 35.560 * * [simplify]: Extracting #7: cost 0 inf + 1303 35.560 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 35.560 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2))) (sqrt k))) 35.560 * * * * [progress]: [ 51 / 209 ] simplifiying candidate # 35.560 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 35.560 * * [simplify]: iters left: 6 (8 enodes) 35.563 * * [simplify]: iters left: 5 (28 enodes) 35.568 * * [simplify]: iters left: 4 (33 enodes) 35.576 * * [simplify]: Extracting #0: cost 1 inf + 0 35.576 * * [simplify]: Extracting #1: cost 4 inf + 0 35.577 * * [simplify]: Extracting #2: cost 8 inf + 0 35.577 * * [simplify]: Extracting #3: cost 9 inf + 83 35.577 * * [simplify]: Extracting #4: cost 11 inf + 84 35.577 * * [simplify]: Extracting #5: cost 10 inf + 85 35.577 * * [simplify]: Extracting #6: cost 5 inf + 411 35.577 * * [simplify]: Extracting #7: cost 0 inf + 1143 35.578 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 35.578 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (sqrt k))) 35.578 * * * * [progress]: [ 52 / 209 ] simplifiying candidate # 35.578 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 35.579 * * [simplify]: iters left: 6 (7 enodes) 35.583 * * [simplify]: iters left: 5 (25 enodes) 35.591 * * [simplify]: iters left: 4 (30 enodes) 35.600 * * [simplify]: Extracting #0: cost 1 inf + 0 35.600 * * [simplify]: Extracting #1: cost 4 inf + 0 35.600 * * [simplify]: Extracting #2: cost 5 inf + 1 35.600 * * [simplify]: Extracting #3: cost 9 inf + 1 35.600 * * [simplify]: Extracting #4: cost 11 inf + 2 35.600 * * [simplify]: Extracting #5: cost 10 inf + 3 35.601 * * [simplify]: Extracting #6: cost 5 inf + 330 35.601 * * [simplify]: Extracting #7: cost 2 inf + 696 35.601 * * [simplify]: Extracting #8: cost 0 inf + 981 35.602 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 35.602 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2)) (sqrt k))) 35.602 * * * * [progress]: [ 53 / 209 ] simplifiying candidate # 35.602 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 35.602 * * [simplify]: iters left: 5 (7 enodes) 35.607 * * [simplify]: iters left: 4 (28 enodes) 35.615 * * [simplify]: iters left: 3 (39 enodes) 35.622 * * [simplify]: iters left: 2 (43 enodes) 35.628 * * [simplify]: Extracting #0: cost 1 inf + 0 35.628 * * [simplify]: Extracting #1: cost 7 inf + 0 35.628 * * [simplify]: Extracting #2: cost 16 inf + 0 35.628 * * [simplify]: Extracting #3: cost 15 inf + 164 35.629 * * [simplify]: Extracting #4: cost 13 inf + 287 35.629 * * [simplify]: Extracting #5: cost 5 inf + 1180 35.629 * * [simplify]: Extracting #6: cost 0 inf + 1951 35.629 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 35.629 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 35.629 * * * * [progress]: [ 54 / 209 ] simplifiying candidate # 35.630 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 35.630 * * [simplify]: iters left: 5 (7 enodes) 35.634 * * [simplify]: iters left: 4 (28 enodes) 35.639 * * [simplify]: iters left: 3 (39 enodes) 35.647 * * [simplify]: iters left: 2 (43 enodes) 35.660 * * [simplify]: Extracting #0: cost 1 inf + 0 35.660 * * [simplify]: Extracting #1: cost 7 inf + 0 35.660 * * [simplify]: Extracting #2: cost 16 inf + 0 35.660 * * [simplify]: Extracting #3: cost 15 inf + 84 35.660 * * [simplify]: Extracting #4: cost 13 inf + 167 35.661 * * [simplify]: Extracting #5: cost 5 inf + 900 35.661 * * [simplify]: Extracting #6: cost 0 inf + 1551 35.662 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 35.662 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 35.662 * * * * [progress]: [ 55 / 209 ] simplifiying candidate # 35.663 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 35.663 * * [simplify]: iters left: 5 (6 enodes) 35.667 * * [simplify]: iters left: 4 (26 enodes) 35.675 * * [simplify]: iters left: 3 (35 enodes) 35.686 * * [simplify]: Extracting #0: cost 1 inf + 0 35.686 * * [simplify]: Extracting #1: cost 6 inf + 0 35.686 * * [simplify]: Extracting #2: cost 9 inf + 2 35.686 * * [simplify]: Extracting #3: cost 11 inf + 3 35.686 * * [simplify]: Extracting #4: cost 10 inf + 4 35.686 * * [simplify]: Extracting #5: cost 3 inf + 535 35.687 * * [simplify]: Extracting #6: cost 0 inf + 822 35.687 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 35.687 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 35.687 * * * * [progress]: [ 56 / 209 ] simplifiying candidate # 35.688 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 35.688 * * [simplify]: iters left: 6 (9 enodes) 35.693 * * [simplify]: iters left: 5 (34 enodes) 35.704 * * [simplify]: iters left: 4 (48 enodes) 35.717 * * [simplify]: iters left: 3 (54 enodes) 35.732 * * [simplify]: iters left: 2 (55 enodes) 35.747 * * [simplify]: iters left: 1 (56 enodes) 35.762 * * [simplify]: Extracting #0: cost 1 inf + 0 35.762 * * [simplify]: Extracting #1: cost 8 inf + 0 35.762 * * [simplify]: Extracting #2: cost 18 inf + 0 35.762 * * [simplify]: Extracting #3: cost 17 inf + 164 35.763 * * [simplify]: Extracting #4: cost 16 inf + 530 35.763 * * [simplify]: Extracting #5: cost 12 inf + 735 35.763 * * [simplify]: Extracting #6: cost 4 inf + 1787 35.764 * * [simplify]: Extracting #7: cost 1 inf + 2515 35.765 * * [simplify]: Extracting #8: cost 0 inf + 2757 35.766 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 35.766 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 35.766 * * * * [progress]: [ 57 / 209 ] simplifiying candidate # 35.767 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 35.767 * * [simplify]: iters left: 6 (9 enodes) 35.772 * * [simplify]: iters left: 5 (34 enodes) 35.786 * * [simplify]: iters left: 4 (48 enodes) 35.800 * * [simplify]: iters left: 3 (54 enodes) 35.813 * * [simplify]: iters left: 2 (55 enodes) 35.821 * * [simplify]: iters left: 1 (56 enodes) 35.828 * * [simplify]: Extracting #0: cost 1 inf + 0 35.829 * * [simplify]: Extracting #1: cost 8 inf + 0 35.829 * * [simplify]: Extracting #2: cost 18 inf + 0 35.829 * * [simplify]: Extracting #3: cost 17 inf + 84 35.829 * * [simplify]: Extracting #4: cost 16 inf + 330 35.829 * * [simplify]: Extracting #5: cost 12 inf + 495 35.829 * * [simplify]: Extracting #6: cost 4 inf + 1467 35.830 * * [simplify]: Extracting #7: cost 1 inf + 2075 35.830 * * [simplify]: Extracting #8: cost 0 inf + 2277 35.830 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 35.830 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 35.831 * * * * [progress]: [ 58 / 209 ] simplifiying candidate # 35.831 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 35.831 * * [simplify]: iters left: 6 (8 enodes) 35.834 * * [simplify]: iters left: 5 (31 enodes) 35.840 * * [simplify]: iters left: 4 (46 enodes) 35.846 * * [simplify]: iters left: 3 (49 enodes) 35.853 * * [simplify]: Extracting #0: cost 1 inf + 0 35.853 * * [simplify]: Extracting #1: cost 7 inf + 0 35.853 * * [simplify]: Extracting #2: cost 11 inf + 2 35.853 * * [simplify]: Extracting #3: cost 13 inf + 3 35.853 * * [simplify]: Extracting #4: cost 15 inf + 3 35.853 * * [simplify]: Extracting #5: cost 13 inf + 45 35.853 * * [simplify]: Extracting #6: cost 5 inf + 898 35.853 * * [simplify]: Extracting #7: cost 0 inf + 1628 35.854 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 35.854 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 35.854 * * * * [progress]: [ 59 / 209 ] simplifiying candidate # 35.854 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 35.854 * * [simplify]: iters left: 6 (9 enodes) 35.857 * * [simplify]: iters left: 5 (34 enodes) 35.863 * * [simplify]: iters left: 4 (48 enodes) 35.870 * * [simplify]: iters left: 3 (54 enodes) 35.888 * * [simplify]: iters left: 2 (55 enodes) 35.903 * * [simplify]: iters left: 1 (56 enodes) 35.918 * * [simplify]: Extracting #0: cost 1 inf + 0 35.918 * * [simplify]: Extracting #1: cost 8 inf + 0 35.919 * * [simplify]: Extracting #2: cost 18 inf + 0 35.919 * * [simplify]: Extracting #3: cost 17 inf + 164 35.919 * * [simplify]: Extracting #4: cost 16 inf + 530 35.919 * * [simplify]: Extracting #5: cost 12 inf + 735 35.920 * * [simplify]: Extracting #6: cost 4 inf + 1787 35.920 * * [simplify]: Extracting #7: cost 1 inf + 2515 35.921 * * [simplify]: Extracting #8: cost 0 inf + 2757 35.922 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 35.922 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 35.922 * * * * [progress]: [ 60 / 209 ] simplifiying candidate # 35.923 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 35.923 * * [simplify]: iters left: 6 (9 enodes) 35.929 * * [simplify]: iters left: 5 (34 enodes) 35.940 * * [simplify]: iters left: 4 (48 enodes) 35.952 * * [simplify]: iters left: 3 (54 enodes) 35.960 * * [simplify]: iters left: 2 (55 enodes) 35.967 * * [simplify]: iters left: 1 (56 enodes) 35.976 * * [simplify]: Extracting #0: cost 1 inf + 0 35.976 * * [simplify]: Extracting #1: cost 8 inf + 0 35.976 * * [simplify]: Extracting #2: cost 18 inf + 0 35.976 * * [simplify]: Extracting #3: cost 17 inf + 84 35.976 * * [simplify]: Extracting #4: cost 16 inf + 330 35.976 * * [simplify]: Extracting #5: cost 12 inf + 495 35.976 * * [simplify]: Extracting #6: cost 4 inf + 1467 35.977 * * [simplify]: Extracting #7: cost 1 inf + 2075 35.977 * * [simplify]: Extracting #8: cost 0 inf + 2277 35.978 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 35.978 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 35.978 * * * * [progress]: [ 61 / 209 ] simplifiying candidate # 35.978 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 35.978 * * [simplify]: iters left: 6 (8 enodes) 35.984 * * [simplify]: iters left: 5 (31 enodes) 35.995 * * [simplify]: iters left: 4 (46 enodes) 36.007 * * [simplify]: iters left: 3 (49 enodes) 36.019 * * [simplify]: Extracting #0: cost 1 inf + 0 36.019 * * [simplify]: Extracting #1: cost 7 inf + 0 36.020 * * [simplify]: Extracting #2: cost 11 inf + 2 36.020 * * [simplify]: Extracting #3: cost 13 inf + 3 36.020 * * [simplify]: Extracting #4: cost 15 inf + 3 36.020 * * [simplify]: Extracting #5: cost 13 inf + 45 36.020 * * [simplify]: Extracting #6: cost 5 inf + 898 36.021 * * [simplify]: Extracting #7: cost 0 inf + 1628 36.021 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 36.021 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 36.021 * * * * [progress]: [ 62 / 209 ] simplifiying candidate # 36.024 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 36.024 * * [simplify]: iters left: 6 (8 enodes) 36.029 * * [simplify]: iters left: 5 (31 enodes) 36.039 * * [simplify]: iters left: 4 (42 enodes) 36.052 * * [simplify]: iters left: 3 (46 enodes) 36.066 * * [simplify]: Extracting #0: cost 1 inf + 0 36.066 * * [simplify]: Extracting #1: cost 7 inf + 0 36.066 * * [simplify]: Extracting #2: cost 16 inf + 0 36.066 * * [simplify]: Extracting #3: cost 17 inf + 2 36.066 * * [simplify]: Extracting #4: cost 15 inf + 408 36.066 * * [simplify]: Extracting #5: cost 14 inf + 409 36.067 * * [simplify]: Extracting #6: cost 9 inf + 975 36.067 * * [simplify]: Extracting #7: cost 1 inf + 2270 36.068 * * [simplify]: Extracting #8: cost 0 inf + 2513 36.069 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 36.069 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 36.069 * * * * [progress]: [ 63 / 209 ] simplifiying candidate # 36.069 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 36.070 * * [simplify]: iters left: 6 (8 enodes) 36.074 * * [simplify]: iters left: 5 (31 enodes) 36.084 * * [simplify]: iters left: 4 (42 enodes) 36.097 * * [simplify]: iters left: 3 (46 enodes) 36.110 * * [simplify]: Extracting #0: cost 1 inf + 0 36.110 * * [simplify]: Extracting #1: cost 7 inf + 0 36.110 * * [simplify]: Extracting #2: cost 16 inf + 0 36.111 * * [simplify]: Extracting #3: cost 17 inf + 2 36.111 * * [simplify]: Extracting #4: cost 15 inf + 248 36.111 * * [simplify]: Extracting #5: cost 14 inf + 249 36.111 * * [simplify]: Extracting #6: cost 9 inf + 775 36.112 * * [simplify]: Extracting #7: cost 1 inf + 1910 36.113 * * [simplify]: Extracting #8: cost 0 inf + 2113 36.114 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 36.114 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 36.114 * * * * [progress]: [ 64 / 209 ] simplifiying candidate # 36.114 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 36.114 * * [simplify]: iters left: 6 (7 enodes) 36.119 * * [simplify]: iters left: 5 (29 enodes) 36.128 * * [simplify]: iters left: 4 (38 enodes) 36.140 * * [simplify]: Extracting #0: cost 1 inf + 0 36.140 * * [simplify]: Extracting #1: cost 6 inf + 0 36.140 * * [simplify]: Extracting #2: cost 9 inf + 2 36.140 * * [simplify]: Extracting #3: cost 11 inf + 3 36.140 * * [simplify]: Extracting #4: cost 13 inf + 3 36.140 * * [simplify]: Extracting #5: cost 12 inf + 4 36.140 * * [simplify]: Extracting #6: cost 9 inf + 167 36.140 * * [simplify]: Extracting #7: cost 0 inf + 1304 36.141 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 36.141 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 36.141 * * * * [progress]: [ 65 / 209 ] simplifiying candidate # 36.141 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 36.142 * * [simplify]: iters left: 6 (8 enodes) 36.146 * * [simplify]: iters left: 5 (31 enodes) 36.157 * * [simplify]: iters left: 4 (42 enodes) 36.170 * * [simplify]: iters left: 3 (46 enodes) 36.184 * * [simplify]: Extracting #0: cost 1 inf + 0 36.184 * * [simplify]: Extracting #1: cost 7 inf + 0 36.184 * * [simplify]: Extracting #2: cost 16 inf + 0 36.184 * * [simplify]: Extracting #3: cost 17 inf + 2 36.185 * * [simplify]: Extracting #4: cost 15 inf + 408 36.185 * * [simplify]: Extracting #5: cost 14 inf + 409 36.185 * * [simplify]: Extracting #6: cost 9 inf + 975 36.185 * * [simplify]: Extracting #7: cost 1 inf + 2270 36.185 * * [simplify]: Extracting #8: cost 0 inf + 2513 36.186 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 36.186 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 36.186 * * * * [progress]: [ 66 / 209 ] simplifiying candidate # 36.186 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 36.186 * * [simplify]: iters left: 6 (8 enodes) 36.189 * * [simplify]: iters left: 5 (31 enodes) 36.194 * * [simplify]: iters left: 4 (42 enodes) 36.200 * * [simplify]: iters left: 3 (46 enodes) 36.206 * * [simplify]: Extracting #0: cost 1 inf + 0 36.206 * * [simplify]: Extracting #1: cost 7 inf + 0 36.206 * * [simplify]: Extracting #2: cost 16 inf + 0 36.206 * * [simplify]: Extracting #3: cost 17 inf + 2 36.207 * * [simplify]: Extracting #4: cost 15 inf + 248 36.207 * * [simplify]: Extracting #5: cost 14 inf + 249 36.207 * * [simplify]: Extracting #6: cost 9 inf + 775 36.207 * * [simplify]: Extracting #7: cost 1 inf + 1910 36.208 * * [simplify]: Extracting #8: cost 0 inf + 2113 36.208 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 36.208 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 36.208 * * * * [progress]: [ 67 / 209 ] simplifiying candidate # 36.208 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 36.208 * * [simplify]: iters left: 6 (7 enodes) 36.211 * * [simplify]: iters left: 5 (29 enodes) 36.216 * * [simplify]: iters left: 4 (38 enodes) 36.222 * * [simplify]: Extracting #0: cost 1 inf + 0 36.222 * * [simplify]: Extracting #1: cost 6 inf + 0 36.222 * * [simplify]: Extracting #2: cost 9 inf + 2 36.222 * * [simplify]: Extracting #3: cost 11 inf + 3 36.222 * * [simplify]: Extracting #4: cost 13 inf + 3 36.222 * * [simplify]: Extracting #5: cost 12 inf + 4 36.222 * * [simplify]: Extracting #6: cost 9 inf + 167 36.223 * * [simplify]: Extracting #7: cost 0 inf + 1304 36.223 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 36.223 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 36.223 * * * * [progress]: [ 68 / 209 ] simplifiying candidate # 36.223 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 36.223 * * [simplify]: iters left: 5 (8 enodes) 36.226 * * [simplify]: iters left: 4 (31 enodes) 36.231 * * [simplify]: iters left: 3 (45 enodes) 36.238 * * [simplify]: iters left: 2 (51 enodes) 36.247 * * [simplify]: iters left: 1 (52 enodes) 36.262 * * [simplify]: Extracting #0: cost 1 inf + 0 36.262 * * [simplify]: Extracting #1: cost 8 inf + 0 36.262 * * [simplify]: Extracting #2: cost 18 inf + 0 36.262 * * [simplify]: Extracting #3: cost 19 inf + 2 36.262 * * [simplify]: Extracting #4: cost 9 inf + 977 36.263 * * [simplify]: Extracting #5: cost 2 inf + 1790 36.264 * * [simplify]: Extracting #6: cost 0 inf + 2195 36.264 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 36.264 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 36.265 * * * * [progress]: [ 69 / 209 ] simplifiying candidate # 36.265 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 36.265 * * [simplify]: iters left: 5 (8 enodes) 36.270 * * [simplify]: iters left: 4 (31 enodes) 36.280 * * [simplify]: iters left: 3 (45 enodes) 36.293 * * [simplify]: iters left: 2 (51 enodes) 36.300 * * [simplify]: iters left: 1 (52 enodes) 36.307 * * [simplify]: Extracting #0: cost 1 inf + 0 36.308 * * [simplify]: Extracting #1: cost 8 inf + 0 36.308 * * [simplify]: Extracting #2: cost 18 inf + 0 36.308 * * [simplify]: Extracting #3: cost 19 inf + 2 36.308 * * [simplify]: Extracting #4: cost 9 inf + 697 36.308 * * [simplify]: Extracting #5: cost 2 inf + 1390 36.308 * * [simplify]: Extracting #6: cost 0 inf + 1715 36.309 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 36.309 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 36.309 * * * * [progress]: [ 70 / 209 ] simplifiying candidate # 36.309 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 36.309 * * [simplify]: iters left: 5 (7 enodes) 36.312 * * [simplify]: iters left: 4 (29 enodes) 36.317 * * [simplify]: iters left: 3 (43 enodes) 36.327 * * [simplify]: iters left: 2 (47 enodes) 36.334 * * [simplify]: Extracting #0: cost 1 inf + 0 36.334 * * [simplify]: Extracting #1: cost 7 inf + 0 36.335 * * [simplify]: Extracting #2: cost 11 inf + 2 36.335 * * [simplify]: Extracting #3: cost 13 inf + 3 36.335 * * [simplify]: Extracting #4: cost 11 inf + 45 36.335 * * [simplify]: Extracting #5: cost 0 inf + 1066 36.335 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 36.335 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.335 * * * * [progress]: [ 71 / 209 ] simplifiying candidate # 36.335 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 36.335 * * [simplify]: iters left: 5 (7 enodes) 36.338 * * [simplify]: iters left: 4 (28 enodes) 36.343 * * [simplify]: iters left: 3 (39 enodes) 36.349 * * [simplify]: iters left: 2 (43 enodes) 36.356 * * [simplify]: Extracting #0: cost 1 inf + 0 36.356 * * [simplify]: Extracting #1: cost 7 inf + 0 36.356 * * [simplify]: Extracting #2: cost 16 inf + 0 36.356 * * [simplify]: Extracting #3: cost 15 inf + 164 36.356 * * [simplify]: Extracting #4: cost 13 inf + 287 36.356 * * [simplify]: Extracting #5: cost 5 inf + 1180 36.356 * * [simplify]: Extracting #6: cost 0 inf + 1951 36.357 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 36.357 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 36.357 * * * * [progress]: [ 72 / 209 ] simplifiying candidate # 36.357 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 36.357 * * [simplify]: iters left: 5 (7 enodes) 36.361 * * [simplify]: iters left: 4 (28 enodes) 36.371 * * [simplify]: iters left: 3 (39 enodes) 36.381 * * [simplify]: iters left: 2 (43 enodes) 36.389 * * [simplify]: Extracting #0: cost 1 inf + 0 36.389 * * [simplify]: Extracting #1: cost 7 inf + 0 36.389 * * [simplify]: Extracting #2: cost 16 inf + 0 36.389 * * [simplify]: Extracting #3: cost 15 inf + 84 36.389 * * [simplify]: Extracting #4: cost 13 inf + 167 36.389 * * [simplify]: Extracting #5: cost 5 inf + 900 36.389 * * [simplify]: Extracting #6: cost 0 inf + 1551 36.390 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 36.390 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 36.390 * * * * [progress]: [ 73 / 209 ] simplifiying candidate # 36.390 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 36.390 * * [simplify]: iters left: 5 (6 enodes) 36.392 * * [simplify]: iters left: 4 (26 enodes) 36.396 * * [simplify]: iters left: 3 (35 enodes) 36.402 * * [simplify]: Extracting #0: cost 1 inf + 0 36.402 * * [simplify]: Extracting #1: cost 6 inf + 0 36.402 * * [simplify]: Extracting #2: cost 9 inf + 2 36.402 * * [simplify]: Extracting #3: cost 11 inf + 3 36.402 * * [simplify]: Extracting #4: cost 10 inf + 4 36.402 * * [simplify]: Extracting #5: cost 3 inf + 535 36.402 * * [simplify]: Extracting #6: cost 0 inf + 822 36.402 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 36.402 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.403 * * * * [progress]: [ 74 / 209 ] simplifiying candidate # 36.403 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 36.403 * * [simplify]: iters left: 5 (6 enodes) 36.405 * * [simplify]: iters left: 4 (26 enodes) 36.413 * * [simplify]: iters left: 3 (35 enodes) 36.423 * * [simplify]: Extracting #0: cost 1 inf + 0 36.423 * * [simplify]: Extracting #1: cost 6 inf + 0 36.423 * * [simplify]: Extracting #2: cost 9 inf + 2 36.423 * * [simplify]: Extracting #3: cost 11 inf + 3 36.423 * * [simplify]: Extracting #4: cost 10 inf + 4 36.424 * * [simplify]: Extracting #5: cost 3 inf + 535 36.424 * * [simplify]: Extracting #6: cost 0 inf + 822 36.424 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 36.424 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.425 * * * * [progress]: [ 75 / 209 ] simplifiying candidate # 36.425 * [simplify]: Simplifying (/ 1 2) 36.425 * * [simplify]: iters left: 2 (3 enodes) 36.428 * * [simplify]: iters left: 1 (12 enodes) 36.432 * * [simplify]: Extracting #0: cost 1 inf + 0 36.432 * * [simplify]: Extracting #1: cost 0 inf + 1 36.432 * [simplify]: Simplified to 1/2 36.432 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2) (sqrt k))) 36.432 * * * * [progress]: [ 76 / 209 ] simplifiying candidate # 36.433 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 36.433 * * [simplify]: iters left: 6 (11 enodes) 36.439 * * [simplify]: iters left: 5 (46 enodes) 36.455 * * [simplify]: iters left: 4 (80 enodes) 36.482 * * [simplify]: iters left: 3 (135 enodes) 36.531 * * [simplify]: iters left: 2 (262 enodes) 36.589 * * [simplify]: Extracting #0: cost 1 inf + 0 36.589 * * [simplify]: Extracting #1: cost 14 inf + 0 36.589 * * [simplify]: Extracting #2: cost 66 inf + 1 36.589 * * [simplify]: Extracting #3: cost 127 inf + 6 36.590 * * [simplify]: Extracting #4: cost 147 inf + 11 36.590 * * [simplify]: Extracting #5: cost 134 inf + 1777 36.593 * * [simplify]: Extracting #6: cost 61 inf + 18363 36.598 * * [simplify]: Extracting #7: cost 19 inf + 39858 36.614 * * [simplify]: Extracting #8: cost 1 inf + 55694 36.625 * * [simplify]: Extracting #9: cost 0 inf + 56467 36.632 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 36.632 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 36.632 * * * * [progress]: [ 77 / 209 ] simplifiying candidate # 36.632 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 36.632 * * [simplify]: iters left: 6 (16 enodes) 36.637 * * [simplify]: iters left: 5 (65 enodes) 36.648 * * [simplify]: iters left: 4 (103 enodes) 36.667 * * [simplify]: iters left: 3 (168 enodes) 36.704 * * [simplify]: iters left: 2 (313 enodes) 36.791 * * [simplify]: Extracting #0: cost 1 inf + 0 36.791 * * [simplify]: Extracting #1: cost 13 inf + 0 36.791 * * [simplify]: Extracting #2: cost 57 inf + 1 36.792 * * [simplify]: Extracting #3: cost 91 inf + 6 36.792 * * [simplify]: Extracting #4: cost 108 inf + 10 36.793 * * [simplify]: Extracting #5: cost 145 inf + 52 36.796 * * [simplify]: Extracting #6: cost 119 inf + 5883 36.807 * * [simplify]: Extracting #7: cost 52 inf + 24618 36.823 * * [simplify]: Extracting #8: cost 11 inf + 59981 36.842 * * [simplify]: Extracting #9: cost 0 inf + 68869 36.862 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 36.862 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 36.863 * * * * [progress]: [ 78 / 209 ] simplifiying candidate # 36.863 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 36.863 * * [simplify]: iters left: 6 (15 enodes) 36.871 * * [simplify]: iters left: 5 (62 enodes) 36.892 * * [simplify]: iters left: 4 (101 enodes) 36.925 * * [simplify]: iters left: 3 (167 enodes) 36.989 * * [simplify]: iters left: 2 (315 enodes) 37.078 * * [simplify]: Extracting #0: cost 1 inf + 0 37.078 * * [simplify]: Extracting #1: cost 14 inf + 0 37.079 * * [simplify]: Extracting #2: cost 59 inf + 1 37.079 * * [simplify]: Extracting #3: cost 106 inf + 6 37.080 * * [simplify]: Extracting #4: cost 152 inf + 10 37.081 * * [simplify]: Extracting #5: cost 159 inf + 262 37.086 * * [simplify]: Extracting #6: cost 82 inf + 19132 37.103 * * [simplify]: Extracting #7: cost 9 inf + 56261 37.122 * * [simplify]: Extracting #8: cost 0 inf + 63185 37.137 * * [simplify]: Extracting #9: cost 0 inf + 62662 37.147 * * [simplify]: Extracting #10: cost 0 inf + 62532 37.157 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 37.157 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 37.157 * * * * [progress]: [ 79 / 209 ] simplifiying candidate # 37.158 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 37.158 * * [simplify]: iters left: 6 (7 enodes) 37.160 * * [simplify]: iters left: 5 (27 enodes) 37.165 * * [simplify]: iters left: 4 (36 enodes) 37.171 * * [simplify]: Extracting #0: cost 1 inf + 0 37.171 * * [simplify]: Extracting #1: cost 0 inf + 1 37.171 * [simplify]: Simplified to 1 37.171 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 37.171 * * * * [progress]: [ 80 / 209 ] simplifiying candidate # 37.171 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 37.171 * * [simplify]: iters left: 6 (15 enodes) 37.176 * * [simplify]: iters left: 5 (64 enodes) 37.187 * * [simplify]: iters left: 4 (107 enodes) 37.206 * * [simplify]: iters left: 3 (172 enodes) 37.246 * * [simplify]: iters left: 2 (308 enodes) 37.361 * * [simplify]: Extracting #0: cost 1 inf + 0 37.362 * * [simplify]: Extracting #1: cost 13 inf + 0 37.362 * * [simplify]: Extracting #2: cost 65 inf + 1 37.362 * * [simplify]: Extracting #3: cost 139 inf + 5 37.363 * * [simplify]: Extracting #4: cost 162 inf + 179 37.363 * * [simplify]: Extracting #5: cost 158 inf + 472 37.365 * * [simplify]: Extracting #6: cost 102 inf + 8559 37.369 * * [simplify]: Extracting #7: cost 44 inf + 34459 37.379 * * [simplify]: Extracting #8: cost 1 inf + 72965 37.389 * * [simplify]: Extracting #9: cost 0 inf + 71959 37.399 * * [simplify]: Extracting #10: cost 0 inf + 71828 37.418 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 37.419 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 37.419 * * * * [progress]: [ 81 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 82 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 83 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 84 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 85 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 86 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 87 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 88 / 209 ] simplifiying candidate # 37.419 * * * * [progress]: [ 89 / 209 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt k)))> 37.420 * * * * [progress]: [ 90 / 209 ] simplifiying candidate # 37.420 * [simplify]: Simplifying (* n (* 2 PI)) 37.420 * * [simplify]: iters left: 4 (5 enodes) 37.423 * * [simplify]: iters left: 3 (19 enodes) 37.429 * * [simplify]: iters left: 2 (27 enodes) 37.437 * * [simplify]: iters left: 1 (32 enodes) 37.445 * * [simplify]: Extracting #0: cost 1 inf + 0 37.445 * * [simplify]: Extracting #1: cost 8 inf + 0 37.445 * * [simplify]: Extracting #2: cost 7 inf + 45 37.445 * * [simplify]: Extracting #3: cost 0 inf + 421 37.446 * [simplify]: Simplified to (* (* PI 2) n) 37.446 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.446 * * * * [progress]: [ 91 / 209 ] simplifiying candidate # 37.446 * [simplify]: Simplifying (* n (* 2 PI)) 37.446 * * [simplify]: iters left: 4 (5 enodes) 37.449 * * [simplify]: iters left: 3 (19 enodes) 37.455 * * [simplify]: iters left: 2 (27 enodes) 37.462 * * [simplify]: iters left: 1 (32 enodes) 37.470 * * [simplify]: Extracting #0: cost 1 inf + 0 37.470 * * [simplify]: Extracting #1: cost 8 inf + 0 37.470 * * [simplify]: Extracting #2: cost 7 inf + 45 37.470 * * [simplify]: Extracting #3: cost 0 inf + 421 37.470 * [simplify]: Simplified to (* (* PI 2) n) 37.470 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.470 * * * * [progress]: [ 92 / 209 ] simplifiying candidate # 37.471 * * * * [progress]: [ 93 / 209 ] simplifiying candidate # 37.471 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 37.471 * * [simplify]: iters left: 5 (8 enodes) 37.473 * * [simplify]: iters left: 4 (28 enodes) 37.477 * * [simplify]: iters left: 3 (36 enodes) 37.482 * * [simplify]: iters left: 2 (42 enodes) 37.488 * * [simplify]: Extracting #0: cost 1 inf + 0 37.488 * * [simplify]: Extracting #1: cost 8 inf + 0 37.488 * * [simplify]: Extracting #2: cost 17 inf + 0 37.488 * * [simplify]: Extracting #3: cost 12 inf + 145 37.488 * * [simplify]: Extracting #4: cost 5 inf + 1197 37.488 * * [simplify]: Extracting #5: cost 1 inf + 1925 37.489 * * [simplify]: Extracting #6: cost 0 inf + 2107 37.489 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 37.489 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.489 * * * * [progress]: [ 94 / 209 ] simplifiying candidate # 37.489 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 37.489 * * [simplify]: iters left: 5 (7 enodes) 37.491 * * [simplify]: iters left: 4 (26 enodes) 37.495 * * [simplify]: iters left: 3 (35 enodes) 37.503 * * [simplify]: iters left: 2 (44 enodes) 37.514 * * [simplify]: Extracting #0: cost 1 inf + 0 37.514 * * [simplify]: Extracting #1: cost 8 inf + 0 37.514 * * [simplify]: Extracting #2: cost 18 inf + 0 37.515 * * [simplify]: Extracting #3: cost 15 inf + 74 37.515 * * [simplify]: Extracting #4: cost 8 inf + 554 37.515 * * [simplify]: Extracting #5: cost 0 inf + 1911 37.516 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 37.516 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.516 * * * * [progress]: [ 95 / 209 ] simplifiying candidate # 37.516 * * * * [progress]: [ 96 / 209 ] simplifiying candidate # 37.516 * * * * [progress]: [ 97 / 209 ] simplifiying candidate # 37.517 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 37.517 * * [simplify]: iters left: 6 (11 enodes) 37.525 * * [simplify]: iters left: 5 (48 enodes) 37.546 * * [simplify]: iters left: 4 (121 enodes) 37.590 * * [simplify]: iters left: 3 (348 enodes) 37.771 * * [simplify]: Extracting #0: cost 1 inf + 0 37.771 * * [simplify]: Extracting #1: cost 67 inf + 0 37.772 * * [simplify]: Extracting #2: cost 165 inf + 786 37.775 * * [simplify]: Extracting #3: cost 85 inf + 10177 37.784 * * [simplify]: Extracting #4: cost 9 inf + 26399 37.797 * * [simplify]: Extracting #5: cost 0 inf + 28546 37.810 * * [simplify]: Extracting #6: cost 0 inf + 28506 37.818 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 37.818 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 37.819 * * * * [progress]: [ 98 / 209 ] simplifiying candidate # 37.819 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 37.819 * * [simplify]: iters left: 6 (9 enodes) 37.822 * * [simplify]: iters left: 5 (45 enodes) 37.831 * * [simplify]: iters left: 4 (117 enodes) 37.867 * * [simplify]: iters left: 3 (374 enodes) 38.230 * * [simplify]: Extracting #0: cost 1 inf + 0 38.230 * * [simplify]: Extracting #1: cost 77 inf + 0 38.231 * * [simplify]: Extracting #2: cost 184 inf + 984 38.235 * * [simplify]: Extracting #3: cost 106 inf + 11690 38.244 * * [simplify]: Extracting #4: cost 6 inf + 30376 38.253 * * [simplify]: Extracting #5: cost 0 inf + 31644 38.262 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 38.262 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 38.262 * * * * [progress]: [ 99 / 209 ] simplifiying candidate # 38.262 * * * * [progress]: [ 100 / 209 ] simplifiying candidate # 38.262 * * * * [progress]: [ 101 / 209 ] simplifiying candidate # 38.262 * * * * [progress]: [ 102 / 209 ] simplifiying candidate # 38.262 * * * * [progress]: [ 103 / 209 ] simplifiying candidate # 38.263 * * * * [progress]: [ 104 / 209 ] simplifiying candidate # 38.263 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 38.263 * * [simplify]: iters left: 3 (3 enodes) 38.263 * * [simplify]: iters left: 2 (9 enodes) 38.265 * * [simplify]: Extracting #0: cost 1 inf + 0 38.265 * * [simplify]: Extracting #1: cost 3 inf + 0 38.265 * * [simplify]: Extracting #2: cost 5 inf + 0 38.265 * * [simplify]: Extracting #3: cost 4 inf + 1 38.265 * * [simplify]: Extracting #4: cost 0 inf + 405 38.265 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 38.265 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 38.265 * * * * [progress]: [ 105 / 209 ] simplifiying candidate # 38.265 * [simplify]: Simplifying (sqrt n) 38.265 * * [simplify]: iters left: 1 (2 enodes) 38.266 * * [simplify]: Extracting #0: cost 1 inf + 0 38.266 * * [simplify]: Extracting #1: cost 3 inf + 0 38.266 * * [simplify]: Extracting #2: cost 2 inf + 1 38.266 * * [simplify]: Extracting #3: cost 0 inf + 83 38.266 * [simplify]: Simplified to (sqrt n) 38.266 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 38.266 * * * * [progress]: [ 106 / 209 ] simplifiying candidate # 38.266 * * * * [progress]: [ 107 / 209 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> 38.266 * * * * [progress]: [ 108 / 209 ] simplifiying candidate # 38.266 * * * * [progress]: [ 109 / 209 ] simplifiying candidate # 38.266 * * * * [progress]: [ 110 / 209 ] simplifiying candidate # 38.266 * [simplify]: Simplifying (- (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.266 * * [simplify]: iters left: 6 (19 enodes) 38.273 * * [simplify]: iters left: 5 (78 enodes) 38.304 * * [simplify]: iters left: 4 (147 enodes) 38.390 * * [simplify]: Extracting #0: cost 1 inf + 0 38.390 * * [simplify]: Extracting #1: cost 5 inf + 0 38.391 * * [simplify]: Extracting #2: cost 50 inf + 0 38.391 * * [simplify]: Extracting #3: cost 135 inf + 2 38.393 * * [simplify]: Extracting #4: cost 177 inf + 187 38.395 * * [simplify]: Extracting #5: cost 130 inf + 6751 38.406 * * [simplify]: Extracting #6: cost 23 inf + 38494 38.414 * * [simplify]: Extracting #7: cost 1 inf + 47311 38.426 * * [simplify]: Extracting #8: cost 0 inf + 47803 38.434 * * [simplify]: Extracting #9: cost 0 inf + 47802 38.444 * [simplify]: Simplified to (- (/ (* (+ (sqrt k) 1) (+ (log n) (+ (log 2) (log PI)))) (/ 2 (- 1 (sqrt k)))) (log (sqrt k))) 38.445 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (sqrt k) 1) (+ (log n) (+ (log 2) (log PI)))) (/ 2 (- 1 (sqrt k)))) (log (sqrt k))))) 38.445 * * * * [progress]: [ 111 / 209 ] simplifiying candidate # 38.445 * [simplify]: Simplifying (- (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.445 * * [simplify]: iters left: 6 (18 enodes) 38.456 * * [simplify]: iters left: 5 (76 enodes) 38.476 * * [simplify]: iters left: 4 (140 enodes) 38.514 * * [simplify]: iters left: 3 (427 enodes) 38.785 * * [simplify]: Extracting #0: cost 1 inf + 0 38.785 * * [simplify]: Extracting #1: cost 23 inf + 0 38.785 * * [simplify]: Extracting #2: cost 120 inf + 0 38.786 * * [simplify]: Extracting #3: cost 325 inf + 73 38.788 * * [simplify]: Extracting #4: cost 348 inf + 11074 38.798 * * [simplify]: Extracting #5: cost 185 inf + 59581 38.847 * * [simplify]: Extracting #6: cost 5 inf + 120203 38.873 * * [simplify]: Extracting #7: cost 0 inf + 122452 38.917 * [simplify]: Simplified to (- (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.917 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))))) 38.918 * * * * [progress]: [ 112 / 209 ] simplifiying candidate # 38.918 * [simplify]: Simplifying (- (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.918 * * [simplify]: iters left: 6 (17 enodes) 38.923 * * [simplify]: iters left: 5 (75 enodes) 38.941 * * [simplify]: iters left: 4 (147 enodes) 39.007 * * [simplify]: iters left: 3 (402 enodes) 39.243 * * [simplify]: Extracting #0: cost 1 inf + 0 39.243 * * [simplify]: Extracting #1: cost 18 inf + 0 39.244 * * [simplify]: Extracting #2: cost 102 inf + 0 39.245 * * [simplify]: Extracting #3: cost 292 inf + 2 39.248 * * [simplify]: Extracting #4: cost 357 inf + 1209 39.261 * * [simplify]: Extracting #5: cost 216 inf + 35466 39.296 * * [simplify]: Extracting #6: cost 11 inf + 93706 39.322 * * [simplify]: Extracting #7: cost 0 inf + 98605 39.366 * [simplify]: Simplified to (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.366 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))))) 39.366 * * * * [progress]: [ 113 / 209 ] simplifiying candidate # 39.367 * [simplify]: Simplifying (- (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.367 * * [simplify]: iters left: 6 (17 enodes) 39.376 * * [simplify]: iters left: 5 (75 enodes) 39.402 * * [simplify]: iters left: 4 (147 enodes) 39.455 * * [simplify]: iters left: 3 (402 enodes) 39.763 * * [simplify]: Extracting #0: cost 1 inf + 0 39.763 * * [simplify]: Extracting #1: cost 18 inf + 0 39.763 * * [simplify]: Extracting #2: cost 102 inf + 0 39.765 * * [simplify]: Extracting #3: cost 292 inf + 2 39.768 * * [simplify]: Extracting #4: cost 357 inf + 1209 39.779 * * [simplify]: Extracting #5: cost 216 inf + 35466 39.815 * * [simplify]: Extracting #6: cost 11 inf + 93706 39.860 * * [simplify]: Extracting #7: cost 0 inf + 98605 39.909 * [simplify]: Simplified to (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.909 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))))) 39.909 * * * * [progress]: [ 114 / 209 ] simplifiying candidate # 39.910 * [simplify]: Simplifying (- (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.910 * * [simplify]: iters left: 6 (17 enodes) 39.919 * * [simplify]: iters left: 5 (72 enodes) 39.943 * * [simplify]: iters left: 4 (131 enodes) 39.992 * * [simplify]: iters left: 3 (303 enodes) 40.198 * * [simplify]: Extracting #0: cost 1 inf + 0 40.198 * * [simplify]: Extracting #1: cost 22 inf + 0 40.198 * * [simplify]: Extracting #2: cost 104 inf + 0 40.200 * * [simplify]: Extracting #3: cost 275 inf + 2 40.204 * * [simplify]: Extracting #4: cost 303 inf + 11998 40.223 * * [simplify]: Extracting #5: cost 121 inf + 58803 40.264 * * [simplify]: Extracting #6: cost 9 inf + 96140 40.291 * * [simplify]: Extracting #7: cost 0 inf + 98126 40.318 * * [simplify]: Extracting #8: cost 0 inf + 97925 40.337 * * [simplify]: Extracting #9: cost 0 inf + 97685 40.358 * [simplify]: Simplified to (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))) 40.358 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))))) 40.358 * * * * [progress]: [ 115 / 209 ] simplifiying candidate # 40.359 * [simplify]: Simplifying (- (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 40.359 * * [simplify]: iters left: 6 (17 enodes) 40.364 * * [simplify]: iters left: 5 (72 enodes) 40.378 * * [simplify]: iters left: 4 (131 enodes) 40.406 * * [simplify]: iters left: 3 (303 enodes) 40.583 * * [simplify]: Extracting #0: cost 1 inf + 0 40.583 * * [simplify]: Extracting #1: cost 22 inf + 0 40.584 * * [simplify]: Extracting #2: cost 104 inf + 0 40.585 * * [simplify]: Extracting #3: cost 275 inf + 2 40.591 * * [simplify]: Extracting #4: cost 303 inf + 11998 40.609 * * [simplify]: Extracting #5: cost 121 inf + 58803 40.646 * * [simplify]: Extracting #6: cost 9 inf + 96140 40.666 * * [simplify]: Extracting #7: cost 0 inf + 98126 40.698 * * [simplify]: Extracting #8: cost 0 inf + 97925 40.732 * * [simplify]: Extracting #9: cost 0 inf + 97685 40.753 * [simplify]: Simplified to (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))) 40.753 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))))) 40.753 * * * * [progress]: [ 116 / 209 ] simplifiying candidate # 40.754 * [simplify]: Simplifying (- (log (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (log (sqrt k))) 40.754 * * [simplify]: iters left: 6 (17 enodes) 40.759 * * [simplify]: iters left: 5 (72 enodes) 40.783 * * [simplify]: iters left: 4 (128 enodes) 40.806 * * [simplify]: iters left: 3 (243 enodes) 40.875 * * [simplify]: Extracting #0: cost 1 inf + 0 40.875 * * [simplify]: Extracting #1: cost 13 inf + 0 40.875 * * [simplify]: Extracting #2: cost 84 inf + 0 40.876 * * [simplify]: Extracting #3: cost 221 inf + 3 40.877 * * [simplify]: Extracting #4: cost 236 inf + 3907 40.881 * * [simplify]: Extracting #5: cost 138 inf + 27562 40.895 * * [simplify]: Extracting #6: cost 23 inf + 72355 40.909 * * [simplify]: Extracting #7: cost 4 inf + 81802 40.926 * * [simplify]: Extracting #8: cost 0 inf + 84299 40.955 * [simplify]: Simplified to (- (/ (* (* (- 1 (sqrt k)) (+ 1 (sqrt k))) (log (* (* PI 2) n))) 2) (log (sqrt k))) 40.955 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (* (- 1 (sqrt k)) (+ 1 (sqrt k))) (log (* (* PI 2) n))) 2) (log (sqrt k))))) 40.955 * * * * [progress]: [ 117 / 209 ] simplifiying candidate # 40.955 * * * * [progress]: [ 118 / 209 ] simplifiying candidate # 40.955 * * * * [progress]: [ 119 / 209 ] simplifiying candidate # 40.955 * [simplify]: Simplifying (/ (* (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 40.956 * * [simplify]: iters left: 6 (19 enodes) 40.962 * * [simplify]: iters left: 5 (83 enodes) 40.977 * * [simplify]: iters left: 4 (185 enodes) 41.043 * * [simplify]: Extracting #0: cost 1 inf + 0 41.043 * * [simplify]: Extracting #1: cost 48 inf + 0 41.044 * * [simplify]: Extracting #2: cost 107 inf + 123 41.044 * * [simplify]: Extracting #3: cost 135 inf + 246 41.045 * * [simplify]: Extracting #4: cost 151 inf + 498 41.046 * * [simplify]: Extracting #5: cost 126 inf + 3981 41.050 * * [simplify]: Extracting #6: cost 59 inf + 46520 41.071 * * [simplify]: Extracting #7: cost 3 inf + 93188 41.098 * * [simplify]: Extracting #8: cost 0 inf + 95799 41.121 * [simplify]: Simplified to (/ (* (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (* (sqrt k) k)) 41.121 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (* (sqrt k) k)))) 41.121 * * * * [progress]: [ 120 / 209 ] simplifiying candidate # 41.121 * * * * [progress]: [ 121 / 209 ] simplifiying candidate # 41.121 * * * * [progress]: [ 122 / 209 ] simplifiying candidate # 41.121 * * * * [progress]: [ 123 / 209 ] simplifiying candidate # 41.121 * * * * [progress]: [ 124 / 209 ] simplifiying candidate # 41.121 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.122 * * [simplify]: iters left: 6 (14 enodes) 41.126 * * [simplify]: iters left: 5 (57 enodes) 41.137 * * [simplify]: iters left: 4 (99 enodes) 41.158 * * [simplify]: iters left: 3 (179 enodes) 41.200 * * [simplify]: iters left: 2 (369 enodes) 41.331 * * [simplify]: Extracting #0: cost 1 inf + 0 41.331 * * [simplify]: Extracting #1: cost 54 inf + 0 41.331 * * [simplify]: Extracting #2: cost 149 inf + 0 41.332 * * [simplify]: Extracting #3: cost 221 inf + 2 41.333 * * [simplify]: Extracting #4: cost 237 inf + 4701 41.341 * * [simplify]: Extracting #5: cost 151 inf + 58774 41.367 * * [simplify]: Extracting #6: cost 26 inf + 151775 41.390 * * [simplify]: Extracting #7: cost 0 inf + 167575 41.424 * * [simplify]: Extracting #8: cost 0 inf + 166460 41.450 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.450 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 41.451 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 41.451 * * [simplify]: iters left: 6 (14 enodes) 41.455 * * [simplify]: iters left: 5 (56 enodes) 41.469 * * [simplify]: iters left: 4 (88 enodes) 41.498 * * [simplify]: iters left: 3 (151 enodes) 41.556 * * [simplify]: iters left: 2 (310 enodes) 41.668 * * [simplify]: Extracting #0: cost 1 inf + 0 41.668 * * [simplify]: Extracting #1: cost 30 inf + 0 41.668 * * [simplify]: Extracting #2: cost 74 inf + 0 41.668 * * [simplify]: Extracting #3: cost 133 inf + 2 41.669 * * [simplify]: Extracting #4: cost 172 inf + 298 41.671 * * [simplify]: Extracting #5: cost 137 inf + 12099 41.676 * * [simplify]: Extracting #6: cost 66 inf + 44145 41.687 * * [simplify]: Extracting #7: cost 10 inf + 92479 41.704 * * [simplify]: Extracting #8: cost 0 inf + 99317 41.719 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 41.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 41.719 * * * * [progress]: [ 125 / 209 ] simplifiying candidate # 41.719 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 41.719 * * [simplify]: iters left: 6 (15 enodes) 41.724 * * [simplify]: iters left: 5 (59 enodes) 41.736 * * [simplify]: iters left: 4 (95 enodes) 41.767 * * [simplify]: iters left: 3 (160 enodes) 41.825 * * [simplify]: iters left: 2 (308 enodes) 41.907 * * [simplify]: Extracting #0: cost 1 inf + 0 41.907 * * [simplify]: Extracting #1: cost 30 inf + 0 41.907 * * [simplify]: Extracting #2: cost 78 inf + 0 41.908 * * [simplify]: Extracting #3: cost 139 inf + 2 41.909 * * [simplify]: Extracting #4: cost 182 inf + 12 41.911 * * [simplify]: Extracting #5: cost 165 inf + 5979 41.917 * * [simplify]: Extracting #6: cost 93 inf + 27113 41.932 * * [simplify]: Extracting #7: cost 13 inf + 89293 41.954 * * [simplify]: Extracting #8: cost 0 inf + 101096 41.976 * * [simplify]: Extracting #9: cost 0 inf + 100834 41.998 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 41.998 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 41.998 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 41.999 * * [simplify]: iters left: 6 (15 enodes) 42.007 * * [simplify]: iters left: 5 (59 enodes) 42.026 * * [simplify]: iters left: 4 (91 enodes) 42.054 * * [simplify]: iters left: 3 (157 enodes) 42.093 * * [simplify]: iters left: 2 (318 enodes) 42.169 * * [simplify]: Extracting #0: cost 1 inf + 0 42.169 * * [simplify]: Extracting #1: cost 30 inf + 0 42.170 * * [simplify]: Extracting #2: cost 74 inf + 0 42.171 * * [simplify]: Extracting #3: cost 135 inf + 2 42.172 * * [simplify]: Extracting #4: cost 174 inf + 11 42.174 * * [simplify]: Extracting #5: cost 174 inf + 4186 42.181 * * [simplify]: Extracting #6: cost 86 inf + 36002 42.191 * * [simplify]: Extracting #7: cost 18 inf + 81925 42.202 * * [simplify]: Extracting #8: cost 0 inf + 97732 42.214 * * [simplify]: Extracting #9: cost 0 inf + 97601 42.239 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (cbrt k))) 42.239 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (cbrt k))))) 42.240 * * * * [progress]: [ 126 / 209 ] simplifiying candidate # 42.240 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 42.240 * * [simplify]: iters left: 6 (13 enodes) 42.247 * * [simplify]: iters left: 5 (52 enodes) 42.262 * * [simplify]: iters left: 4 (88 enodes) 42.280 * * [simplify]: iters left: 3 (149 enodes) 42.315 * * [simplify]: iters left: 2 (292 enodes) 42.411 * * [simplify]: Extracting #0: cost 1 inf + 0 42.411 * * [simplify]: Extracting #1: cost 30 inf + 0 42.412 * * [simplify]: Extracting #2: cost 74 inf + 0 42.412 * * [simplify]: Extracting #3: cost 135 inf + 2 42.414 * * [simplify]: Extracting #4: cost 168 inf + 797 42.417 * * [simplify]: Extracting #5: cost 140 inf + 11887 42.431 * * [simplify]: Extracting #6: cost 39 inf + 69546 42.451 * * [simplify]: Extracting #7: cost 7 inf + 91265 42.473 * * [simplify]: Extracting #8: cost 0 inf + 95999 42.495 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 42.495 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 42.495 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 42.496 * * [simplify]: iters left: 6 (14 enodes) 42.504 * * [simplify]: iters left: 5 (56 enodes) 42.522 * * [simplify]: iters left: 4 (88 enodes) 42.555 * * [simplify]: iters left: 3 (151 enodes) 42.586 * * [simplify]: iters left: 2 (310 enodes) 42.677 * * [simplify]: Extracting #0: cost 1 inf + 0 42.677 * * [simplify]: Extracting #1: cost 30 inf + 0 42.678 * * [simplify]: Extracting #2: cost 74 inf + 0 42.678 * * [simplify]: Extracting #3: cost 133 inf + 2 42.678 * * [simplify]: Extracting #4: cost 172 inf + 298 42.680 * * [simplify]: Extracting #5: cost 137 inf + 11979 42.685 * * [simplify]: Extracting #6: cost 66 inf + 43665 42.695 * * [simplify]: Extracting #7: cost 10 inf + 91119 42.709 * * [simplify]: Extracting #8: cost 0 inf + 97837 42.721 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 42.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 42.722 * * * * [progress]: [ 127 / 209 ] simplifiying candidate # 42.722 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 42.722 * * [simplify]: iters left: 6 (13 enodes) 42.730 * * [simplify]: iters left: 5 (52 enodes) 42.743 * * [simplify]: iters left: 4 (86 enodes) 42.773 * * [simplify]: iters left: 3 (143 enodes) 42.823 * * [simplify]: iters left: 2 (276 enodes) 42.935 * * [simplify]: Extracting #0: cost 1 inf + 0 42.935 * * [simplify]: Extracting #1: cost 20 inf + 0 42.935 * * [simplify]: Extracting #2: cost 79 inf + 2 42.936 * * [simplify]: Extracting #3: cost 143 inf + 6 42.937 * * [simplify]: Extracting #4: cost 161 inf + 11 42.938 * * [simplify]: Extracting #5: cost 152 inf + 1248 42.942 * * [simplify]: Extracting #6: cost 85 inf + 15042 42.948 * * [simplify]: Extracting #7: cost 21 inf + 50731 42.956 * * [simplify]: Extracting #8: cost 0 inf + 67322 42.965 * * [simplify]: Extracting #9: cost 0 inf + 66888 42.973 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 42.974 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 42.974 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 42.974 * * [simplify]: iters left: 6 (13 enodes) 42.986 * * [simplify]: iters left: 5 (53 enodes) 43.003 * * [simplify]: iters left: 4 (85 enodes) 43.031 * * [simplify]: iters left: 3 (151 enodes) 43.068 * * [simplify]: iters left: 2 (312 enodes) 43.161 * * [simplify]: Extracting #0: cost 1 inf + 0 43.162 * * [simplify]: Extracting #1: cost 30 inf + 0 43.162 * * [simplify]: Extracting #2: cost 74 inf + 0 43.162 * * [simplify]: Extracting #3: cost 132 inf + 44 43.163 * * [simplify]: Extracting #4: cost 167 inf + 748 43.165 * * [simplify]: Extracting #5: cost 138 inf + 9990 43.179 * * [simplify]: Extracting #6: cost 49 inf + 57979 43.202 * * [simplify]: Extracting #7: cost 1 inf + 97968 43.217 * * [simplify]: Extracting #8: cost 0 inf + 98300 43.230 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 43.230 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 43.230 * * * * [progress]: [ 128 / 209 ] simplifiying candidate # 43.230 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.230 * * [simplify]: iters left: 6 (13 enodes) 43.238 * * [simplify]: iters left: 5 (52 enodes) 43.255 * * [simplify]: iters left: 4 (88 enodes) 43.273 * * [simplify]: iters left: 3 (149 enodes) 43.318 * * [simplify]: iters left: 2 (292 enodes) 43.413 * * [simplify]: Extracting #0: cost 1 inf + 0 43.413 * * [simplify]: Extracting #1: cost 30 inf + 0 43.414 * * [simplify]: Extracting #2: cost 74 inf + 0 43.414 * * [simplify]: Extracting #3: cost 135 inf + 2 43.416 * * [simplify]: Extracting #4: cost 168 inf + 797 43.419 * * [simplify]: Extracting #5: cost 140 inf + 11887 43.431 * * [simplify]: Extracting #6: cost 39 inf + 69546 43.445 * * [simplify]: Extracting #7: cost 7 inf + 91265 43.456 * * [simplify]: Extracting #8: cost 0 inf + 95999 43.472 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.472 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 43.472 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.472 * * [simplify]: iters left: 6 (14 enodes) 43.477 * * [simplify]: iters left: 5 (56 enodes) 43.487 * * [simplify]: iters left: 4 (88 enodes) 43.501 * * [simplify]: iters left: 3 (151 enodes) 43.560 * * [simplify]: iters left: 2 (310 enodes) 43.649 * * [simplify]: Extracting #0: cost 1 inf + 0 43.649 * * [simplify]: Extracting #1: cost 30 inf + 0 43.649 * * [simplify]: Extracting #2: cost 74 inf + 0 43.649 * * [simplify]: Extracting #3: cost 133 inf + 2 43.650 * * [simplify]: Extracting #4: cost 172 inf + 298 43.655 * * [simplify]: Extracting #5: cost 137 inf + 11979 43.660 * * [simplify]: Extracting #6: cost 66 inf + 43665 43.670 * * [simplify]: Extracting #7: cost 10 inf + 91119 43.682 * * [simplify]: Extracting #8: cost 0 inf + 97837 43.701 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 43.701 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 43.701 * * * * [progress]: [ 129 / 209 ] simplifiying candidate # 43.702 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 1) 43.702 * * [simplify]: iters left: 6 (12 enodes) 43.709 * * [simplify]: iters left: 5 (47 enodes) 43.725 * * [simplify]: iters left: 4 (83 enodes) 43.755 * * [simplify]: iters left: 3 (144 enodes) 43.813 * * [simplify]: iters left: 2 (288 enodes) 43.907 * * [simplify]: Extracting #0: cost 1 inf + 0 43.907 * * [simplify]: Extracting #1: cost 31 inf + 0 43.907 * * [simplify]: Extracting #2: cost 97 inf + 2 43.908 * * [simplify]: Extracting #3: cost 166 inf + 6 43.908 * * [simplify]: Extracting #4: cost 184 inf + 11 43.909 * * [simplify]: Extracting #5: cost 159 inf + 3912 43.912 * * [simplify]: Extracting #6: cost 91 inf + 21105 43.919 * * [simplify]: Extracting #7: cost 24 inf + 68334 43.929 * * [simplify]: Extracting #8: cost 0 inf + 88528 43.940 * * [simplify]: Extracting #9: cost 0 inf + 88397 43.951 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 43.951 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 43.951 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 43.951 * * [simplify]: iters left: 6 (13 enodes) 43.955 * * [simplify]: iters left: 5 (53 enodes) 43.966 * * [simplify]: iters left: 4 (85 enodes) 43.995 * * [simplify]: iters left: 3 (151 enodes) 44.042 * * [simplify]: iters left: 2 (312 enodes) 44.123 * * [simplify]: Extracting #0: cost 1 inf + 0 44.123 * * [simplify]: Extracting #1: cost 30 inf + 0 44.124 * * [simplify]: Extracting #2: cost 74 inf + 0 44.124 * * [simplify]: Extracting #3: cost 132 inf + 44 44.125 * * [simplify]: Extracting #4: cost 167 inf + 748 44.126 * * [simplify]: Extracting #5: cost 138 inf + 9990 44.136 * * [simplify]: Extracting #6: cost 49 inf + 57979 44.160 * * [simplify]: Extracting #7: cost 1 inf + 97968 44.185 * * [simplify]: Extracting #8: cost 0 inf + 98300 44.201 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 44.201 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 44.202 * * * * [progress]: [ 130 / 209 ] simplifiying candidate # 44.202 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 44.202 * * [simplify]: iters left: 6 (19 enodes) 44.208 * * [simplify]: iters left: 5 (76 enodes) 44.224 * * [simplify]: iters left: 4 (126 enodes) 44.244 * * [simplify]: iters left: 3 (207 enodes) 44.310 * * [simplify]: iters left: 2 (396 enodes) 44.453 * * [simplify]: Extracting #0: cost 1 inf + 0 44.453 * * [simplify]: Extracting #1: cost 55 inf + 0 44.454 * * [simplify]: Extracting #2: cost 148 inf + 0 44.456 * * [simplify]: Extracting #3: cost 212 inf + 2 44.458 * * [simplify]: Extracting #4: cost 206 inf + 1725 44.460 * * [simplify]: Extracting #5: cost 186 inf + 6257 44.462 * * [simplify]: Extracting #6: cost 213 inf + 7606 44.466 * * [simplify]: Extracting #7: cost 203 inf + 18019 44.478 * * [simplify]: Extracting #8: cost 97 inf + 106502 44.531 * * [simplify]: Extracting #9: cost 6 inf + 206999 44.604 * * [simplify]: Extracting #10: cost 0 inf + 210792 44.640 * * [simplify]: Extracting #11: cost 0 inf + 210188 44.675 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 44.675 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 44.675 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 44.675 * * [simplify]: iters left: 6 (17 enodes) 44.680 * * [simplify]: iters left: 5 (68 enodes) 44.701 * * [simplify]: iters left: 4 (108 enodes) 44.735 * * [simplify]: iters left: 3 (179 enodes) 44.776 * * [simplify]: iters left: 2 (343 enodes) 44.874 * * [simplify]: Extracting #0: cost 1 inf + 0 44.874 * * [simplify]: Extracting #1: cost 30 inf + 0 44.874 * * [simplify]: Extracting #2: cost 72 inf + 0 44.875 * * [simplify]: Extracting #3: cost 130 inf + 2 44.875 * * [simplify]: Extracting #4: cost 145 inf + 52 44.876 * * [simplify]: Extracting #5: cost 155 inf + 4103 44.879 * * [simplify]: Extracting #6: cost 124 inf + 15344 44.887 * * [simplify]: Extracting #7: cost 49 inf + 67608 44.908 * * [simplify]: Extracting #8: cost 7 inf + 107049 44.941 * * [simplify]: Extracting #9: cost 0 inf + 112358 44.960 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 44.960 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 44.961 * * * * [progress]: [ 131 / 209 ] simplifiying candidate # 44.961 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 44.961 * * [simplify]: iters left: 6 (20 enodes) 44.967 * * [simplify]: iters left: 5 (78 enodes) 44.980 * * [simplify]: iters left: 4 (122 enodes) 45.004 * * [simplify]: iters left: 3 (188 enodes) 45.041 * * [simplify]: iters left: 2 (331 enodes) 45.121 * * [simplify]: Extracting #0: cost 1 inf + 0 45.121 * * [simplify]: Extracting #1: cost 30 inf + 0 45.121 * * [simplify]: Extracting #2: cost 73 inf + 0 45.122 * * [simplify]: Extracting #3: cost 126 inf + 2 45.123 * * [simplify]: Extracting #4: cost 134 inf + 11 45.123 * * [simplify]: Extracting #5: cost 140 inf + 701 45.124 * * [simplify]: Extracting #6: cost 144 inf + 5277 45.127 * * [simplify]: Extracting #7: cost 132 inf + 12860 45.138 * * [simplify]: Extracting #8: cost 64 inf + 59466 45.160 * * [simplify]: Extracting #9: cost 10 inf + 106475 45.177 * * [simplify]: Extracting #10: cost 0 inf + 117557 45.207 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (- 1/2 (/ (sqrt k) 2))) (fabs (cbrt k))) 45.207 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (- 1/2 (/ (sqrt k) 2))) (fabs (cbrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 45.208 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 45.208 * * [simplify]: iters left: 6 (18 enodes) 45.217 * * [simplify]: iters left: 5 (71 enodes) 45.241 * * [simplify]: iters left: 4 (115 enodes) 45.277 * * [simplify]: iters left: 3 (181 enodes) 45.318 * * [simplify]: iters left: 2 (324 enodes) 45.437 * * [simplify]: Extracting #0: cost 1 inf + 0 45.437 * * [simplify]: Extracting #1: cost 30 inf + 0 45.438 * * [simplify]: Extracting #2: cost 74 inf + 0 45.438 * * [simplify]: Extracting #3: cost 125 inf + 2 45.438 * * [simplify]: Extracting #4: cost 143 inf + 11 45.439 * * [simplify]: Extracting #5: cost 182 inf + 254 45.440 * * [simplify]: Extracting #6: cost 169 inf + 6806 45.444 * * [simplify]: Extracting #7: cost 105 inf + 24289 45.464 * * [simplify]: Extracting #8: cost 10 inf + 108506 45.485 * * [simplify]: Extracting #9: cost 0 inf + 116041 45.504 * * [simplify]: Extracting #10: cost 0 inf + 115910 45.526 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 45.526 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 45.526 * * * * [progress]: [ 132 / 209 ] simplifiying candidate # 45.526 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 45.526 * * [simplify]: iters left: 6 (18 enodes) 45.531 * * [simplify]: iters left: 5 (71 enodes) 45.543 * * [simplify]: iters left: 4 (115 enodes) 45.570 * * [simplify]: iters left: 3 (181 enodes) 45.611 * * [simplify]: iters left: 2 (324 enodes) 45.704 * * [simplify]: Extracting #0: cost 1 inf + 0 45.704 * * [simplify]: Extracting #1: cost 30 inf + 0 45.704 * * [simplify]: Extracting #2: cost 74 inf + 0 45.705 * * [simplify]: Extracting #3: cost 124 inf + 2 45.706 * * [simplify]: Extracting #4: cost 130 inf + 52 45.707 * * [simplify]: Extracting #5: cost 116 inf + 3078 45.711 * * [simplify]: Extracting #6: cost 134 inf + 6307 45.716 * * [simplify]: Extracting #7: cost 123 inf + 16740 45.730 * * [simplify]: Extracting #8: cost 60 inf + 60836 45.753 * * [simplify]: Extracting #9: cost 4 inf + 115221 45.769 * * [simplify]: Extracting #10: cost 0 inf + 116492 45.798 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 45.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 45.798 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 45.798 * * [simplify]: iters left: 6 (17 enodes) 45.807 * * [simplify]: iters left: 5 (68 enodes) 45.828 * * [simplify]: iters left: 4 (108 enodes) 45.868 * * [simplify]: iters left: 3 (179 enodes) 45.905 * * [simplify]: iters left: 2 (343 enodes) 45.983 * * [simplify]: Extracting #0: cost 1 inf + 0 45.983 * * [simplify]: Extracting #1: cost 30 inf + 0 45.983 * * [simplify]: Extracting #2: cost 72 inf + 0 45.984 * * [simplify]: Extracting #3: cost 130 inf + 2 45.985 * * [simplify]: Extracting #4: cost 145 inf + 52 45.987 * * [simplify]: Extracting #5: cost 155 inf + 4063 45.993 * * [simplify]: Extracting #6: cost 124 inf + 15144 46.003 * * [simplify]: Extracting #7: cost 49 inf + 66608 46.017 * * [simplify]: Extracting #8: cost 7 inf + 105569 46.045 * * [simplify]: Extracting #9: cost 0 inf + 110878 46.075 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.075 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 46.075 * * * * [progress]: [ 133 / 209 ] simplifiying candidate # 46.076 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 46.076 * * [simplify]: iters left: 6 (18 enodes) 46.082 * * [simplify]: iters left: 5 (71 enodes) 46.094 * * [simplify]: iters left: 4 (113 enodes) 46.113 * * [simplify]: iters left: 3 (175 enodes) 46.150 * * [simplify]: iters left: 2 (308 enodes) 46.271 * * [simplify]: Extracting #0: cost 1 inf + 0 46.271 * * [simplify]: Extracting #1: cost 20 inf + 0 46.271 * * [simplify]: Extracting #2: cost 65 inf + 2 46.272 * * [simplify]: Extracting #3: cost 99 inf + 5 46.272 * * [simplify]: Extracting #4: cost 111 inf + 10 46.272 * * [simplify]: Extracting #5: cost 147 inf + 52 46.274 * * [simplify]: Extracting #6: cost 124 inf + 5004 46.277 * * [simplify]: Extracting #7: cost 61 inf + 27080 46.285 * * [simplify]: Extracting #8: cost 7 inf + 71200 46.297 * * [simplify]: Extracting #9: cost 0 inf + 77180 46.308 * * [simplify]: Extracting #10: cost 0 inf + 77090 46.321 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 46.321 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 46.322 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 46.322 * * [simplify]: iters left: 6 (16 enodes) 46.331 * * [simplify]: iters left: 5 (65 enodes) 46.353 * * [simplify]: iters left: 4 (105 enodes) 46.390 * * [simplify]: iters left: 3 (176 enodes) 46.455 * * [simplify]: iters left: 2 (340 enodes) 46.572 * * [simplify]: Extracting #0: cost 1 inf + 0 46.572 * * [simplify]: Extracting #1: cost 30 inf + 0 46.572 * * [simplify]: Extracting #2: cost 73 inf + 0 46.573 * * [simplify]: Extracting #3: cost 124 inf + 44 46.574 * * [simplify]: Extracting #4: cost 137 inf + 461 46.576 * * [simplify]: Extracting #5: cost 142 inf + 5211 46.582 * * [simplify]: Extracting #6: cost 127 inf + 13340 46.598 * * [simplify]: Extracting #7: cost 40 inf + 71783 46.626 * * [simplify]: Extracting #8: cost 4 inf + 106771 46.656 * * [simplify]: Extracting #9: cost 0 inf + 109937 46.688 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 46.688 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 46.688 * * * * [progress]: [ 134 / 209 ] simplifiying candidate # 46.689 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.689 * * [simplify]: iters left: 6 (18 enodes) 46.699 * * [simplify]: iters left: 5 (71 enodes) 46.721 * * [simplify]: iters left: 4 (115 enodes) 46.757 * * [simplify]: iters left: 3 (181 enodes) 46.792 * * [simplify]: iters left: 2 (324 enodes) 46.887 * * [simplify]: Extracting #0: cost 1 inf + 0 46.887 * * [simplify]: Extracting #1: cost 30 inf + 0 46.888 * * [simplify]: Extracting #2: cost 74 inf + 0 46.888 * * [simplify]: Extracting #3: cost 124 inf + 2 46.889 * * [simplify]: Extracting #4: cost 130 inf + 52 46.891 * * [simplify]: Extracting #5: cost 116 inf + 3078 46.894 * * [simplify]: Extracting #6: cost 134 inf + 6307 46.900 * * [simplify]: Extracting #7: cost 123 inf + 16740 46.911 * * [simplify]: Extracting #8: cost 60 inf + 60836 46.926 * * [simplify]: Extracting #9: cost 4 inf + 115221 46.950 * * [simplify]: Extracting #10: cost 0 inf + 116492 46.968 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 46.969 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.969 * * [simplify]: iters left: 6 (17 enodes) 46.974 * * [simplify]: iters left: 5 (68 enodes) 46.985 * * [simplify]: iters left: 4 (108 enodes) 47.016 * * [simplify]: iters left: 3 (179 enodes) 47.050 * * [simplify]: iters left: 2 (343 enodes) 47.165 * * [simplify]: Extracting #0: cost 1 inf + 0 47.165 * * [simplify]: Extracting #1: cost 30 inf + 0 47.166 * * [simplify]: Extracting #2: cost 72 inf + 0 47.166 * * [simplify]: Extracting #3: cost 130 inf + 2 47.166 * * [simplify]: Extracting #4: cost 145 inf + 52 47.167 * * [simplify]: Extracting #5: cost 155 inf + 4063 47.170 * * [simplify]: Extracting #6: cost 124 inf + 15144 47.183 * * [simplify]: Extracting #7: cost 49 inf + 66608 47.212 * * [simplify]: Extracting #8: cost 7 inf + 105569 47.241 * * [simplify]: Extracting #9: cost 0 inf + 110878 47.272 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 47.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 47.273 * * * * [progress]: [ 135 / 209 ] simplifiying candidate # 47.273 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 1) 47.273 * * [simplify]: iters left: 6 (17 enodes) 47.278 * * [simplify]: iters left: 5 (66 enodes) 47.289 * * [simplify]: iters left: 4 (106 enodes) 47.318 * * [simplify]: iters left: 3 (178 enodes) 47.369 * * [simplify]: iters left: 2 (343 enodes) 47.480 * * [simplify]: Extracting #0: cost 1 inf + 0 47.481 * * [simplify]: Extracting #1: cost 33 inf + 0 47.481 * * [simplify]: Extracting #2: cost 92 inf + 2 47.481 * * [simplify]: Extracting #3: cost 130 inf + 6 47.482 * * [simplify]: Extracting #4: cost 143 inf + 11 47.486 * * [simplify]: Extracting #5: cost 180 inf + 135 47.487 * * [simplify]: Extracting #6: cost 153 inf + 6710 47.491 * * [simplify]: Extracting #7: cost 99 inf + 18859 47.505 * * [simplify]: Extracting #8: cost 35 inf + 69560 47.535 * * [simplify]: Extracting #9: cost 1 inf + 107411 47.552 * * [simplify]: Extracting #10: cost 0 inf + 107782 47.569 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 47.569 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 47.570 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 47.570 * * [simplify]: iters left: 6 (16 enodes) 47.578 * * [simplify]: iters left: 5 (65 enodes) 47.593 * * [simplify]: iters left: 4 (105 enodes) 47.613 * * [simplify]: iters left: 3 (176 enodes) 47.673 * * [simplify]: iters left: 2 (340 enodes) 47.782 * * [simplify]: Extracting #0: cost 1 inf + 0 47.782 * * [simplify]: Extracting #1: cost 30 inf + 0 47.783 * * [simplify]: Extracting #2: cost 73 inf + 0 47.783 * * [simplify]: Extracting #3: cost 124 inf + 44 47.784 * * [simplify]: Extracting #4: cost 137 inf + 461 47.787 * * [simplify]: Extracting #5: cost 142 inf + 5211 47.792 * * [simplify]: Extracting #6: cost 127 inf + 13340 47.808 * * [simplify]: Extracting #7: cost 40 inf + 71783 47.835 * * [simplify]: Extracting #8: cost 4 inf + 106771 47.868 * * [simplify]: Extracting #9: cost 0 inf + 109937 47.896 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 47.896 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 47.896 * * * * [progress]: [ 136 / 209 ] simplifiying candidate # 47.897 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 47.897 * * [simplify]: iters left: 6 (18 enodes) 47.908 * * [simplify]: iters left: 5 (73 enodes) 47.929 * * [simplify]: iters left: 4 (124 enodes) 47.949 * * [simplify]: iters left: 3 (205 enodes) 48.007 * * [simplify]: iters left: 2 (394 enodes) 48.123 * * [simplify]: Extracting #0: cost 1 inf + 0 48.123 * * [simplify]: Extracting #1: cost 55 inf + 0 48.124 * * [simplify]: Extracting #2: cost 149 inf + 0 48.125 * * [simplify]: Extracting #3: cost 211 inf + 2 48.127 * * [simplify]: Extracting #4: cost 219 inf + 1599 48.131 * * [simplify]: Extracting #5: cost 224 inf + 6343 48.138 * * [simplify]: Extracting #6: cost 201 inf + 15095 48.160 * * [simplify]: Extracting #7: cost 82 inf + 110455 48.212 * * [simplify]: Extracting #8: cost 2 inf + 195853 48.264 * * [simplify]: Extracting #9: cost 0 inf + 195420 48.317 * * [simplify]: Extracting #10: cost 0 inf + 195289 48.368 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.368 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 48.369 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 48.369 * * [simplify]: iters left: 6 (17 enodes) 48.378 * * [simplify]: iters left: 5 (68 enodes) 48.405 * * [simplify]: iters left: 4 (109 enodes) 48.439 * * [simplify]: iters left: 3 (180 enodes) 48.499 * * [simplify]: iters left: 2 (344 enodes) 48.586 * * [simplify]: Extracting #0: cost 1 inf + 0 48.586 * * [simplify]: Extracting #1: cost 30 inf + 0 48.587 * * [simplify]: Extracting #2: cost 72 inf + 0 48.587 * * [simplify]: Extracting #3: cost 130 inf + 2 48.588 * * [simplify]: Extracting #4: cost 150 inf + 52 48.590 * * [simplify]: Extracting #5: cost 163 inf + 4143 48.595 * * [simplify]: Extracting #6: cost 126 inf + 12647 48.610 * * [simplify]: Extracting #7: cost 51 inf + 65883 48.641 * * [simplify]: Extracting #8: cost 3 inf + 108038 48.669 * * [simplify]: Extracting #9: cost 0 inf + 109726 48.683 * * [simplify]: Extracting #10: cost 0 inf + 109596 48.704 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 48.704 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 48.704 * * * * [progress]: [ 137 / 209 ] simplifiying candidate # 48.705 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 48.705 * * [simplify]: iters left: 6 (19 enodes) 48.711 * * [simplify]: iters left: 5 (75 enodes) 48.724 * * [simplify]: iters left: 4 (120 enodes) 48.744 * * [simplify]: iters left: 3 (186 enodes) 48.790 * * [simplify]: iters left: 2 (329 enodes) 48.885 * * [simplify]: Extracting #0: cost 1 inf + 0 48.885 * * [simplify]: Extracting #1: cost 30 inf + 0 48.885 * * [simplify]: Extracting #2: cost 73 inf + 0 48.886 * * [simplify]: Extracting #3: cost 128 inf + 2 48.887 * * [simplify]: Extracting #4: cost 150 inf + 11 48.888 * * [simplify]: Extracting #5: cost 186 inf + 698 48.891 * * [simplify]: Extracting #6: cost 168 inf + 7171 48.900 * * [simplify]: Extracting #7: cost 82 inf + 41018 48.923 * * [simplify]: Extracting #8: cost 15 inf + 96848 48.951 * * [simplify]: Extracting #9: cost 0 inf + 108735 48.976 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 48.976 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 48.977 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 48.977 * * [simplify]: iters left: 6 (18 enodes) 48.988 * * [simplify]: iters left: 5 (71 enodes) 48.999 * * [simplify]: iters left: 4 (116 enodes) 49.025 * * [simplify]: iters left: 3 (182 enodes) 49.059 * * [simplify]: iters left: 2 (325 enodes) 49.190 * * [simplify]: Extracting #0: cost 1 inf + 0 49.190 * * [simplify]: Extracting #1: cost 30 inf + 0 49.190 * * [simplify]: Extracting #2: cost 74 inf + 0 49.191 * * [simplify]: Extracting #3: cost 126 inf + 2 49.192 * * [simplify]: Extracting #4: cost 148 inf + 11 49.193 * * [simplify]: Extracting #5: cost 189 inf + 336 49.196 * * [simplify]: Extracting #6: cost 158 inf + 9323 49.206 * * [simplify]: Extracting #7: cost 70 inf + 47963 49.235 * * [simplify]: Extracting #8: cost 3 inf + 111692 49.255 * * [simplify]: Extracting #9: cost 0 inf + 112978 49.268 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 49.269 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 49.269 * * * * [progress]: [ 138 / 209 ] simplifiying candidate # 49.269 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.269 * * [simplify]: iters left: 6 (17 enodes) 49.273 * * [simplify]: iters left: 5 (68 enodes) 49.290 * * [simplify]: iters left: 4 (109 enodes) 49.325 * * [simplify]: iters left: 3 (180 enodes) 49.392 * * [simplify]: iters left: 2 (344 enodes) 49.495 * * [simplify]: Extracting #0: cost 1 inf + 0 49.496 * * [simplify]: Extracting #1: cost 30 inf + 0 49.496 * * [simplify]: Extracting #2: cost 72 inf + 0 49.496 * * [simplify]: Extracting #3: cost 130 inf + 2 49.497 * * [simplify]: Extracting #4: cost 150 inf + 52 49.498 * * [simplify]: Extracting #5: cost 163 inf + 4103 49.500 * * [simplify]: Extracting #6: cost 126 inf + 12527 49.508 * * [simplify]: Extracting #7: cost 51 inf + 64883 49.529 * * [simplify]: Extracting #8: cost 3 inf + 106558 49.549 * * [simplify]: Extracting #9: cost 0 inf + 108246 49.563 * * [simplify]: Extracting #10: cost 0 inf + 108116 49.587 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.588 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 49.588 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.588 * * [simplify]: iters left: 6 (17 enodes) 49.593 * * [simplify]: iters left: 5 (68 enodes) 49.605 * * [simplify]: iters left: 4 (109 enodes) 49.630 * * [simplify]: iters left: 3 (180 enodes) 49.667 * * [simplify]: iters left: 2 (344 enodes) 49.756 * * [simplify]: Extracting #0: cost 1 inf + 0 49.756 * * [simplify]: Extracting #1: cost 30 inf + 0 49.756 * * [simplify]: Extracting #2: cost 72 inf + 0 49.757 * * [simplify]: Extracting #3: cost 130 inf + 2 49.757 * * [simplify]: Extracting #4: cost 150 inf + 52 49.758 * * [simplify]: Extracting #5: cost 163 inf + 4103 49.764 * * [simplify]: Extracting #6: cost 126 inf + 12527 49.776 * * [simplify]: Extracting #7: cost 51 inf + 64883 49.804 * * [simplify]: Extracting #8: cost 3 inf + 106558 49.833 * * [simplify]: Extracting #9: cost 0 inf + 108246 49.849 * * [simplify]: Extracting #10: cost 0 inf + 108116 49.863 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.863 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 49.864 * * * * [progress]: [ 139 / 209 ] simplifiying candidate # 49.864 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 49.864 * * [simplify]: iters left: 6 (17 enodes) 49.870 * * [simplify]: iters left: 5 (68 enodes) 49.892 * * [simplify]: iters left: 4 (107 enodes) 49.918 * * [simplify]: iters left: 3 (171 enodes) 49.959 * * [simplify]: iters left: 2 (320 enodes) 50.060 * * [simplify]: Extracting #0: cost 1 inf + 0 50.060 * * [simplify]: Extracting #1: cost 20 inf + 0 50.060 * * [simplify]: Extracting #2: cost 70 inf + 2 50.061 * * [simplify]: Extracting #3: cost 119 inf + 5 50.062 * * [simplify]: Extracting #4: cost 163 inf + 10 50.063 * * [simplify]: Extracting #5: cost 168 inf + 547 50.067 * * [simplify]: Extracting #6: cost 103 inf + 12082 50.078 * * [simplify]: Extracting #7: cost 46 inf + 34454 50.096 * * [simplify]: Extracting #8: cost 8 inf + 67928 50.116 * * [simplify]: Extracting #9: cost 0 inf + 75657 50.137 * * [simplify]: Extracting #10: cost 0 inf + 75485 50.155 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 50.155 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 50.156 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 50.156 * * [simplify]: iters left: 6 (16 enodes) 50.160 * * [simplify]: iters left: 5 (65 enodes) 50.171 * * [simplify]: iters left: 4 (106 enodes) 50.189 * * [simplify]: iters left: 3 (178 enodes) 50.237 * * [simplify]: iters left: 2 (339 enodes) 50.345 * * [simplify]: Extracting #0: cost 1 inf + 0 50.345 * * [simplify]: Extracting #1: cost 30 inf + 0 50.346 * * [simplify]: Extracting #2: cost 73 inf + 0 50.346 * * [simplify]: Extracting #3: cost 124 inf + 44 50.347 * * [simplify]: Extracting #4: cost 140 inf + 502 50.350 * * [simplify]: Extracting #5: cost 152 inf + 4758 50.360 * * [simplify]: Extracting #6: cost 119 inf + 15205 50.371 * * [simplify]: Extracting #7: cost 36 inf + 72570 50.384 * * [simplify]: Extracting #8: cost 0 inf + 107348 50.402 * * [simplify]: Extracting #9: cost 0 inf + 106695 50.430 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 50.430 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 50.430 * * * * [progress]: [ 140 / 209 ] simplifiying candidate # 50.430 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 50.430 * * [simplify]: iters left: 6 (17 enodes) 50.439 * * [simplify]: iters left: 5 (68 enodes) 50.461 * * [simplify]: iters left: 4 (109 enodes) 50.499 * * [simplify]: iters left: 3 (180 enodes) 50.564 * * [simplify]: iters left: 2 (344 enodes) 50.678 * * [simplify]: Extracting #0: cost 1 inf + 0 50.678 * * [simplify]: Extracting #1: cost 30 inf + 0 50.678 * * [simplify]: Extracting #2: cost 72 inf + 0 50.679 * * [simplify]: Extracting #3: cost 130 inf + 2 50.680 * * [simplify]: Extracting #4: cost 150 inf + 52 50.682 * * [simplify]: Extracting #5: cost 163 inf + 4103 50.687 * * [simplify]: Extracting #6: cost 126 inf + 12527 50.701 * * [simplify]: Extracting #7: cost 51 inf + 64883 50.717 * * [simplify]: Extracting #8: cost 3 inf + 106558 50.731 * * [simplify]: Extracting #9: cost 0 inf + 108246 50.763 * * [simplify]: Extracting #10: cost 0 inf + 108116 50.791 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 50.791 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 50.791 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 50.792 * * [simplify]: iters left: 6 (17 enodes) 50.797 * * [simplify]: iters left: 5 (68 enodes) 50.809 * * [simplify]: iters left: 4 (109 enodes) 50.835 * * [simplify]: iters left: 3 (180 enodes) 50.877 * * [simplify]: iters left: 2 (344 enodes) 50.963 * * [simplify]: Extracting #0: cost 1 inf + 0 50.963 * * [simplify]: Extracting #1: cost 30 inf + 0 50.964 * * [simplify]: Extracting #2: cost 72 inf + 0 50.964 * * [simplify]: Extracting #3: cost 130 inf + 2 50.965 * * [simplify]: Extracting #4: cost 150 inf + 52 50.966 * * [simplify]: Extracting #5: cost 163 inf + 4103 50.968 * * [simplify]: Extracting #6: cost 126 inf + 12527 50.976 * * [simplify]: Extracting #7: cost 51 inf + 64883 50.999 * * [simplify]: Extracting #8: cost 3 inf + 106558 51.026 * * [simplify]: Extracting #9: cost 0 inf + 108246 51.040 * * [simplify]: Extracting #10: cost 0 inf + 108116 51.054 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.054 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 51.054 * * * * [progress]: [ 141 / 209 ] simplifiying candidate # 51.054 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 1) 51.054 * * [simplify]: iters left: 6 (16 enodes) 51.062 * * [simplify]: iters left: 5 (63 enodes) 51.072 * * [simplify]: iters left: 4 (104 enodes) 51.090 * * [simplify]: iters left: 3 (175 enodes) 51.124 * * [simplify]: iters left: 2 (340 enodes) 51.228 * * [simplify]: Extracting #0: cost 1 inf + 0 51.228 * * [simplify]: Extracting #1: cost 32 inf + 0 51.228 * * [simplify]: Extracting #2: cost 92 inf + 2 51.229 * * [simplify]: Extracting #3: cost 146 inf + 6 51.230 * * [simplify]: Extracting #4: cost 188 inf + 11 51.231 * * [simplify]: Extracting #5: cost 165 inf + 5041 51.234 * * [simplify]: Extracting #6: cost 89 inf + 27580 51.253 * * [simplify]: Extracting #7: cost 11 inf + 90919 51.276 * * [simplify]: Extracting #8: cost 0 inf + 100859 51.299 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 51.299 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 51.299 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 51.299 * * [simplify]: iters left: 6 (16 enodes) 51.307 * * [simplify]: iters left: 5 (65 enodes) 51.319 * * [simplify]: iters left: 4 (106 enodes) 51.337 * * [simplify]: iters left: 3 (178 enodes) 51.373 * * [simplify]: iters left: 2 (339 enodes) 51.446 * * [simplify]: Extracting #0: cost 1 inf + 0 51.446 * * [simplify]: Extracting #1: cost 30 inf + 0 51.447 * * [simplify]: Extracting #2: cost 73 inf + 0 51.447 * * [simplify]: Extracting #3: cost 124 inf + 44 51.448 * * [simplify]: Extracting #4: cost 140 inf + 502 51.449 * * [simplify]: Extracting #5: cost 152 inf + 4758 51.452 * * [simplify]: Extracting #6: cost 119 inf + 15205 51.466 * * [simplify]: Extracting #7: cost 36 inf + 72570 51.491 * * [simplify]: Extracting #8: cost 0 inf + 107348 51.508 * * [simplify]: Extracting #9: cost 0 inf + 106695 51.522 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 51.522 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 51.522 * * * * [progress]: [ 142 / 209 ] simplifiying candidate # 51.522 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 51.522 * * [simplify]: iters left: 6 (10 enodes) 51.525 * * [simplify]: iters left: 5 (38 enodes) 51.536 * * [simplify]: iters left: 4 (51 enodes) 51.553 * * [simplify]: iters left: 3 (53 enodes) 51.568 * * [simplify]: Extracting #0: cost 1 inf + 0 51.568 * * [simplify]: Extracting #1: cost 7 inf + 0 51.568 * * [simplify]: Extracting #2: cost 11 inf + 1 51.568 * * [simplify]: Extracting #3: cost 13 inf + 1 51.568 * * [simplify]: Extracting #4: cost 12 inf + 2 51.569 * * [simplify]: Extracting #5: cost 8 inf + 367 51.569 * * [simplify]: Extracting #6: cost 2 inf + 1336 51.569 * * [simplify]: Extracting #7: cost 0 inf + 1700 51.570 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 51.570 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 51.570 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 51.571 * * [simplify]: iters left: 6 (16 enodes) 51.579 * * [simplify]: iters left: 5 (65 enodes) 51.600 * * [simplify]: iters left: 4 (105 enodes) 51.630 * * [simplify]: iters left: 3 (176 enodes) 51.671 * * [simplify]: iters left: 2 (340 enodes) 51.807 * * [simplify]: Extracting #0: cost 1 inf + 0 51.807 * * [simplify]: Extracting #1: cost 30 inf + 0 51.807 * * [simplify]: Extracting #2: cost 73 inf + 0 51.808 * * [simplify]: Extracting #3: cost 138 inf + 2 51.809 * * [simplify]: Extracting #4: cost 179 inf + 134 51.812 * * [simplify]: Extracting #5: cost 160 inf + 7475 51.822 * * [simplify]: Extracting #6: cost 70 inf + 42522 51.845 * * [simplify]: Extracting #7: cost 13 inf + 94602 51.859 * * [simplify]: Extracting #8: cost 0 inf + 106896 51.876 * * [simplify]: Extracting #9: cost 0 inf + 105685 51.898 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 51.898 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 51.898 * * * * [progress]: [ 143 / 209 ] simplifiying candidate # 51.899 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 51.899 * * [simplify]: iters left: 6 (11 enodes) 51.902 * * [simplify]: iters left: 5 (40 enodes) 51.909 * * [simplify]: iters left: 4 (49 enodes) 51.916 * * [simplify]: Extracting #0: cost 1 inf + 0 51.916 * * [simplify]: Extracting #1: cost 4 inf + 0 51.916 * * [simplify]: Extracting #2: cost 6 inf + 1 51.917 * * [simplify]: Extracting #3: cost 9 inf + 1 51.917 * * [simplify]: Extracting #4: cost 2 inf + 689 51.917 * * [simplify]: Extracting #5: cost 0 inf + 972 51.917 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 51.917 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 51.917 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 51.917 * * [simplify]: iters left: 6 (17 enodes) 51.922 * * [simplify]: iters left: 5 (68 enodes) 51.945 * * [simplify]: iters left: 4 (108 enodes) 51.966 * * [simplify]: iters left: 3 (179 enodes) 52.012 * * [simplify]: iters left: 2 (343 enodes) 52.123 * * [simplify]: Extracting #0: cost 1 inf + 0 52.124 * * [simplify]: Extracting #1: cost 30 inf + 0 52.124 * * [simplify]: Extracting #2: cost 72 inf + 0 52.125 * * [simplify]: Extracting #3: cost 139 inf + 2 52.126 * * [simplify]: Extracting #4: cost 184 inf + 11 52.128 * * [simplify]: Extracting #5: cost 178 inf + 3928 52.134 * * [simplify]: Extracting #6: cost 106 inf + 18913 52.155 * * [simplify]: Extracting #7: cost 34 inf + 72000 52.182 * * [simplify]: Extracting #8: cost 0 inf + 107491 52.209 * * [simplify]: Extracting #9: cost 0 inf + 106969 52.225 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))) 52.225 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))))) 52.225 * * * * [progress]: [ 144 / 209 ] simplifiying candidate # 52.226 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.226 * * [simplify]: iters left: 6 (9 enodes) 52.229 * * [simplify]: iters left: 5 (33 enodes) 52.234 * * [simplify]: iters left: 4 (42 enodes) 52.240 * * [simplify]: Extracting #0: cost 1 inf + 0 52.240 * * [simplify]: Extracting #1: cost 4 inf + 0 52.240 * * [simplify]: Extracting #2: cost 5 inf + 1 52.240 * * [simplify]: Extracting #3: cost 7 inf + 1 52.240 * * [simplify]: Extracting #4: cost 0 inf + 490 52.240 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 52.240 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 52.240 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.240 * * [simplify]: iters left: 6 (16 enodes) 52.247 * * [simplify]: iters left: 5 (65 enodes) 52.268 * * [simplify]: iters left: 4 (105 enodes) 52.300 * * [simplify]: iters left: 3 (176 enodes) 52.338 * * [simplify]: iters left: 2 (340 enodes) 52.475 * * [simplify]: Extracting #0: cost 1 inf + 0 52.475 * * [simplify]: Extracting #1: cost 30 inf + 0 52.475 * * [simplify]: Extracting #2: cost 73 inf + 0 52.476 * * [simplify]: Extracting #3: cost 138 inf + 2 52.477 * * [simplify]: Extracting #4: cost 179 inf + 134 52.480 * * [simplify]: Extracting #5: cost 160 inf + 7395 52.490 * * [simplify]: Extracting #6: cost 70 inf + 42122 52.513 * * [simplify]: Extracting #7: cost 13 inf + 93402 52.540 * * [simplify]: Extracting #8: cost 0 inf + 105416 52.572 * * [simplify]: Extracting #9: cost 0 inf + 104205 52.599 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.599 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 52.600 * * * * [progress]: [ 145 / 209 ] simplifiying candidate # 52.600 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 52.600 * * [simplify]: iters left: 6 (9 enodes) 52.610 * * [simplify]: iters left: 5 (33 enodes) 52.619 * * [simplify]: iters left: 4 (42 enodes) 52.631 * * [simplify]: Extracting #0: cost 1 inf + 0 52.631 * * [simplify]: Extracting #1: cost 0 inf + 1 52.631 * [simplify]: Simplified to 1 52.631 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 52.631 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 52.631 * * [simplify]: iters left: 6 (15 enodes) 52.640 * * [simplify]: iters left: 5 (62 enodes) 52.660 * * [simplify]: iters left: 4 (102 enodes) 52.691 * * [simplify]: iters left: 3 (174 enodes) 52.752 * * [simplify]: iters left: 2 (338 enodes) 52.846 * * [simplify]: Extracting #0: cost 1 inf + 0 52.846 * * [simplify]: Extracting #1: cost 30 inf + 0 52.846 * * [simplify]: Extracting #2: cost 73 inf + 0 52.847 * * [simplify]: Extracting #3: cost 132 inf + 44 52.848 * * [simplify]: Extracting #4: cost 174 inf + 461 52.852 * * [simplify]: Extracting #5: cost 146 inf + 9585 52.862 * * [simplify]: Extracting #6: cost 70 inf + 42795 52.883 * * [simplify]: Extracting #7: cost 9 inf + 94296 52.897 * * [simplify]: Extracting #8: cost 1 inf + 101598 52.910 * * [simplify]: Extracting #9: cost 0 inf + 102507 52.934 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 52.934 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 52.934 * * * * [progress]: [ 146 / 209 ] simplifiying candidate # 52.934 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.934 * * [simplify]: iters left: 6 (9 enodes) 52.937 * * [simplify]: iters left: 5 (33 enodes) 52.946 * * [simplify]: iters left: 4 (42 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 7 inf + 1 52.952 * * [simplify]: Extracting #4: cost 0 inf + 490 52.952 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 52.952 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 52.953 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.953 * * [simplify]: iters left: 6 (16 enodes) 52.960 * * [simplify]: iters left: 5 (65 enodes) 52.980 * * [simplify]: iters left: 4 (105 enodes) 52.997 * * [simplify]: iters left: 3 (176 enodes) 53.047 * * [simplify]: iters left: 2 (340 enodes) 53.156 * * [simplify]: Extracting #0: cost 1 inf + 0 53.156 * * [simplify]: Extracting #1: cost 30 inf + 0 53.156 * * [simplify]: Extracting #2: cost 73 inf + 0 53.161 * * [simplify]: Extracting #3: cost 138 inf + 2 53.162 * * [simplify]: Extracting #4: cost 179 inf + 134 53.164 * * [simplify]: Extracting #5: cost 160 inf + 7395 53.172 * * [simplify]: Extracting #6: cost 70 inf + 42122 53.183 * * [simplify]: Extracting #7: cost 13 inf + 93402 53.197 * * [simplify]: Extracting #8: cost 0 inf + 105416 53.211 * * [simplify]: Extracting #9: cost 0 inf + 104205 53.224 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 53.224 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 53.224 * * * * [progress]: [ 147 / 209 ] simplifiying candidate # 53.224 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) 1) 53.224 * * [simplify]: iters left: 6 (8 enodes) 53.227 * * [simplify]: iters left: 5 (28 enodes) 53.232 * * [simplify]: iters left: 4 (37 enodes) 53.237 * * [simplify]: Extracting #0: cost 1 inf + 0 53.237 * * [simplify]: Extracting #1: cost 0 inf + 1 53.237 * [simplify]: Simplified to 1 53.237 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 53.237 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 53.237 * * [simplify]: iters left: 6 (15 enodes) 53.241 * * [simplify]: iters left: 5 (62 enodes) 53.254 * * [simplify]: iters left: 4 (102 enodes) 53.271 * * [simplify]: iters left: 3 (174 enodes) 53.310 * * [simplify]: iters left: 2 (338 enodes) 53.389 * * [simplify]: Extracting #0: cost 1 inf + 0 53.389 * * [simplify]: Extracting #1: cost 30 inf + 0 53.389 * * [simplify]: Extracting #2: cost 73 inf + 0 53.389 * * [simplify]: Extracting #3: cost 132 inf + 44 53.390 * * [simplify]: Extracting #4: cost 174 inf + 461 53.392 * * [simplify]: Extracting #5: cost 146 inf + 9585 53.397 * * [simplify]: Extracting #6: cost 70 inf + 42795 53.408 * * [simplify]: Extracting #7: cost 9 inf + 94296 53.424 * * [simplify]: Extracting #8: cost 1 inf + 101598 53.437 * * [simplify]: Extracting #9: cost 0 inf + 102507 53.451 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 53.451 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 53.451 * * * * [progress]: [ 148 / 209 ] simplifiying candidate # 53.451 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 53.451 * * [simplify]: iters left: 6 (18 enodes) 53.459 * * [simplify]: iters left: 5 (75 enodes) 53.473 * * [simplify]: iters left: 4 (122 enodes) 53.496 * * [simplify]: iters left: 3 (210 enodes) 53.549 * * [simplify]: iters left: 2 (428 enodes) 53.675 * * [simplify]: Extracting #0: cost 1 inf + 0 53.675 * * [simplify]: Extracting #1: cost 56 inf + 0 53.676 * * [simplify]: Extracting #2: cost 150 inf + 0 53.676 * * [simplify]: Extracting #3: cost 226 inf + 2 53.677 * * [simplify]: Extracting #4: cost 256 inf + 1560 53.680 * * [simplify]: Extracting #5: cost 241 inf + 6598 53.684 * * [simplify]: Extracting #6: cost 188 inf + 24291 53.713 * * [simplify]: Extracting #7: cost 57 inf + 140743 53.764 * * [simplify]: Extracting #8: cost 5 inf + 194214 53.800 * * [simplify]: Extracting #9: cost 0 inf + 199379 53.836 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 53.837 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 53.837 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 53.837 * * [simplify]: iters left: 6 (17 enodes) 53.847 * * [simplify]: iters left: 5 (70 enodes) 53.858 * * [simplify]: iters left: 4 (111 enodes) 53.877 * * [simplify]: iters left: 3 (186 enodes) 53.911 * * [simplify]: iters left: 2 (356 enodes) 54.030 * * [simplify]: Extracting #0: cost 1 inf + 0 54.030 * * [simplify]: Extracting #1: cost 30 inf + 0 54.030 * * [simplify]: Extracting #2: cost 75 inf + 0 54.031 * * [simplify]: Extracting #3: cost 137 inf + 2 54.032 * * [simplify]: Extracting #4: cost 183 inf + 52 54.034 * * [simplify]: Extracting #5: cost 180 inf + 3870 54.046 * * [simplify]: Extracting #6: cost 91 inf + 30120 54.056 * * [simplify]: Extracting #7: cost 27 inf + 81972 54.071 * * [simplify]: Extracting #8: cost 1 inf + 109201 54.095 * * [simplify]: Extracting #9: cost 0 inf + 109584 54.117 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (cbrt (sqrt k))) 54.117 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (cbrt (sqrt k))))) 54.117 * * * * [progress]: [ 149 / 209 ] simplifiying candidate # 54.118 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 54.118 * * [simplify]: iters left: 6 (19 enodes) 54.124 * * [simplify]: iters left: 5 (77 enodes) 54.138 * * [simplify]: iters left: 4 (118 enodes) 54.173 * * [simplify]: iters left: 3 (188 enodes) 54.232 * * [simplify]: iters left: 2 (355 enodes) 54.345 * * [simplify]: Extracting #0: cost 1 inf + 0 54.345 * * [simplify]: Extracting #1: cost 30 inf + 0 54.345 * * [simplify]: Extracting #2: cost 73 inf + 0 54.345 * * [simplify]: Extracting #3: cost 136 inf + 2 54.346 * * [simplify]: Extracting #4: cost 179 inf + 11 54.347 * * [simplify]: Extracting #5: cost 187 inf + 1655 54.349 * * [simplify]: Extracting #6: cost 129 inf + 13582 54.357 * * [simplify]: Extracting #7: cost 44 inf + 64558 54.374 * * [simplify]: Extracting #8: cost 0 inf + 108969 54.404 * * [simplify]: Extracting #9: cost 0 inf + 108181 54.424 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 54.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 54.424 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 54.424 * * [simplify]: iters left: 6 (18 enodes) 54.430 * * [simplify]: iters left: 5 (73 enodes) 54.441 * * [simplify]: iters left: 4 (114 enodes) 54.461 * * [simplify]: iters left: 3 (184 enodes) 54.499 * * [simplify]: iters left: 2 (351 enodes) 54.588 * * [simplify]: Extracting #0: cost 1 inf + 0 54.589 * * [simplify]: Extracting #1: cost 30 inf + 0 54.589 * * [simplify]: Extracting #2: cost 74 inf + 0 54.589 * * [simplify]: Extracting #3: cost 134 inf + 2 54.590 * * [simplify]: Extracting #4: cost 178 inf + 11 54.591 * * [simplify]: Extracting #5: cost 175 inf + 3248 54.594 * * [simplify]: Extracting #6: cost 117 inf + 16210 54.603 * * [simplify]: Extracting #7: cost 29 inf + 93541 54.618 * * [simplify]: Extracting #8: cost 0 inf + 118314 54.643 * * [simplify]: Extracting #9: cost 0 inf + 110000 54.671 * * [simplify]: Extracting #10: cost 0 inf + 109447 54.702 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))) 54.702 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))))) 54.702 * * * * [progress]: [ 150 / 209 ] simplifiying candidate # 54.703 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 54.703 * * [simplify]: iters left: 6 (17 enodes) 54.712 * * [simplify]: iters left: 5 (70 enodes) 54.732 * * [simplify]: iters left: 4 (111 enodes) 54.764 * * [simplify]: iters left: 3 (186 enodes) 54.805 * * [simplify]: iters left: 2 (356 enodes) 54.915 * * [simplify]: Extracting #0: cost 1 inf + 0 54.915 * * [simplify]: Extracting #1: cost 30 inf + 0 54.915 * * [simplify]: Extracting #2: cost 75 inf + 0 54.915 * * [simplify]: Extracting #3: cost 137 inf + 2 54.916 * * [simplify]: Extracting #4: cost 183 inf + 52 54.917 * * [simplify]: Extracting #5: cost 180 inf + 3830 54.922 * * [simplify]: Extracting #6: cost 91 inf + 30000 54.934 * * [simplify]: Extracting #7: cost 27 inf + 81212 54.959 * * [simplify]: Extracting #8: cost 1 inf + 107761 54.989 * * [simplify]: Extracting #9: cost 0 inf + 108104 55.019 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 55.019 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 55.020 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 55.020 * * [simplify]: iters left: 6 (17 enodes) 55.029 * * [simplify]: iters left: 5 (70 enodes) 55.049 * * [simplify]: iters left: 4 (111 enodes) 55.087 * * [simplify]: iters left: 3 (186 enodes) 55.130 * * [simplify]: iters left: 2 (356 enodes) 55.233 * * [simplify]: Extracting #0: cost 1 inf + 0 55.233 * * [simplify]: Extracting #1: cost 30 inf + 0 55.234 * * [simplify]: Extracting #2: cost 75 inf + 0 55.235 * * [simplify]: Extracting #3: cost 137 inf + 2 55.236 * * [simplify]: Extracting #4: cost 183 inf + 52 55.238 * * [simplify]: Extracting #5: cost 180 inf + 3830 55.247 * * [simplify]: Extracting #6: cost 91 inf + 30000 55.268 * * [simplify]: Extracting #7: cost 27 inf + 81212 55.300 * * [simplify]: Extracting #8: cost 1 inf + 107761 55.322 * * [simplify]: Extracting #9: cost 0 inf + 108104 55.340 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 55.340 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))))) 55.340 * * * * [progress]: [ 151 / 209 ] simplifiying candidate # 55.341 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 55.341 * * [simplify]: iters left: 6 (17 enodes) 55.346 * * [simplify]: iters left: 5 (70 enodes) 55.360 * * [simplify]: iters left: 4 (109 enodes) 55.390 * * [simplify]: iters left: 3 (180 enodes) 55.424 * * [simplify]: iters left: 2 (343 enodes) 55.518 * * [simplify]: Extracting #0: cost 1 inf + 0 55.518 * * [simplify]: Extracting #1: cost 21 inf + 0 55.519 * * [simplify]: Extracting #2: cost 81 inf + 2 55.520 * * [simplify]: Extracting #3: cost 150 inf + 6 55.521 * * [simplify]: Extracting #4: cost 173 inf + 220 55.523 * * [simplify]: Extracting #5: cost 155 inf + 2233 55.527 * * [simplify]: Extracting #6: cost 106 inf + 8373 55.535 * * [simplify]: Extracting #7: cost 50 inf + 33706 55.548 * * [simplify]: Extracting #8: cost 7 inf + 69560 55.561 * * [simplify]: Extracting #9: cost 0 inf + 76892 55.573 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) 55.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 55.573 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 55.573 * * [simplify]: iters left: 6 (16 enodes) 55.578 * * [simplify]: iters left: 5 (67 enodes) 55.594 * * [simplify]: iters left: 4 (112 enodes) 55.630 * * [simplify]: iters left: 3 (187 enodes) 55.664 * * [simplify]: iters left: 2 (340 enodes) 55.743 * * [simplify]: Extracting #0: cost 1 inf + 0 55.743 * * [simplify]: Extracting #1: cost 30 inf + 0 55.743 * * [simplify]: Extracting #2: cost 74 inf + 0 55.744 * * [simplify]: Extracting #3: cost 129 inf + 85 55.745 * * [simplify]: Extracting #4: cost 171 inf + 625 55.747 * * [simplify]: Extracting #5: cost 172 inf + 3495 55.752 * * [simplify]: Extracting #6: cost 128 inf + 10516 55.758 * * [simplify]: Extracting #7: cost 91 inf + 25563 55.767 * * [simplify]: Extracting #8: cost 42 inf + 68008 55.783 * * [simplify]: Extracting #9: cost 2 inf + 109543 55.804 * * [simplify]: Extracting #10: cost 0 inf + 110497 55.832 * * [simplify]: Extracting #11: cost 0 inf + 110245 55.853 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 55.853 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 55.853 * * * * [progress]: [ 152 / 209 ] simplifiying candidate # 55.853 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 55.853 * * [simplify]: iters left: 6 (17 enodes) 55.859 * * [simplify]: iters left: 5 (70 enodes) 55.870 * * [simplify]: iters left: 4 (111 enodes) 55.896 * * [simplify]: iters left: 3 (186 enodes) 55.935 * * [simplify]: iters left: 2 (356 enodes) 56.026 * * [simplify]: Extracting #0: cost 1 inf + 0 56.026 * * [simplify]: Extracting #1: cost 30 inf + 0 56.026 * * [simplify]: Extracting #2: cost 75 inf + 0 56.027 * * [simplify]: Extracting #3: cost 137 inf + 2 56.027 * * [simplify]: Extracting #4: cost 183 inf + 52 56.029 * * [simplify]: Extracting #5: cost 180 inf + 3830 56.033 * * [simplify]: Extracting #6: cost 91 inf + 30000 56.053 * * [simplify]: Extracting #7: cost 27 inf + 81212 56.080 * * [simplify]: Extracting #8: cost 1 inf + 107761 56.443 * * [simplify]: Extracting #9: cost 0 inf + 108104 56.471 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 56.471 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 56.472 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 56.472 * * [simplify]: iters left: 6 (17 enodes) 56.477 * * [simplify]: iters left: 5 (70 enodes) 56.487 * * [simplify]: iters left: 4 (111 enodes) 56.508 * * [simplify]: iters left: 3 (186 enodes) 56.567 * * [simplify]: iters left: 2 (356 enodes) 56.662 * * [simplify]: Extracting #0: cost 1 inf + 0 56.662 * * [simplify]: Extracting #1: cost 30 inf + 0 56.662 * * [simplify]: Extracting #2: cost 75 inf + 0 56.663 * * [simplify]: Extracting #3: cost 137 inf + 2 56.664 * * [simplify]: Extracting #4: cost 183 inf + 52 56.666 * * [simplify]: Extracting #5: cost 180 inf + 3830 56.674 * * [simplify]: Extracting #6: cost 91 inf + 30000 56.693 * * [simplify]: Extracting #7: cost 27 inf + 81212 56.711 * * [simplify]: Extracting #8: cost 1 inf + 107761 56.726 * * [simplify]: Extracting #9: cost 0 inf + 108104 56.742 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 56.742 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))))) 56.742 * * * * [progress]: [ 153 / 209 ] simplifiying candidate # 56.742 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 1) 56.742 * * [simplify]: iters left: 6 (16 enodes) 56.747 * * [simplify]: iters left: 5 (65 enodes) 56.760 * * [simplify]: iters left: 4 (110 enodes) 56.779 * * [simplify]: iters left: 3 (185 enodes) 56.811 * * [simplify]: iters left: 2 (346 enodes) 56.887 * * [simplify]: Extracting #0: cost 1 inf + 0 56.887 * * [simplify]: Extracting #1: cost 33 inf + 0 56.887 * * [simplify]: Extracting #2: cost 98 inf + 2 56.888 * * [simplify]: Extracting #3: cost 172 inf + 5 56.888 * * [simplify]: Extracting #4: cost 193 inf + 220 56.889 * * [simplify]: Extracting #5: cost 180 inf + 1697 56.891 * * [simplify]: Extracting #6: cost 129 inf + 8123 56.896 * * [simplify]: Extracting #7: cost 83 inf + 27033 56.914 * * [simplify]: Extracting #8: cost 21 inf + 81608 56.934 * * [simplify]: Extracting #9: cost 0 inf + 104743 56.948 * * [simplify]: Extracting #10: cost 0 inf + 104095 56.965 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) 56.965 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 56.965 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 56.965 * * [simplify]: iters left: 6 (16 enodes) 56.974 * * [simplify]: iters left: 5 (67 enodes) 56.994 * * [simplify]: iters left: 4 (112 enodes) 57.012 * * [simplify]: iters left: 3 (187 enodes) 57.061 * * [simplify]: iters left: 2 (340 enodes) 57.195 * * [simplify]: Extracting #0: cost 1 inf + 0 57.195 * * [simplify]: Extracting #1: cost 30 inf + 0 57.195 * * [simplify]: Extracting #2: cost 74 inf + 0 57.196 * * [simplify]: Extracting #3: cost 129 inf + 85 57.197 * * [simplify]: Extracting #4: cost 171 inf + 625 57.199 * * [simplify]: Extracting #5: cost 172 inf + 3495 57.204 * * [simplify]: Extracting #6: cost 128 inf + 10516 57.212 * * [simplify]: Extracting #7: cost 91 inf + 25563 57.223 * * [simplify]: Extracting #8: cost 42 inf + 68008 57.236 * * [simplify]: Extracting #9: cost 2 inf + 109543 57.251 * * [simplify]: Extracting #10: cost 0 inf + 110497 57.268 * * [simplify]: Extracting #11: cost 0 inf + 110245 57.283 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 57.283 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 57.283 * * * * [progress]: [ 154 / 209 ] simplifiying candidate # 57.283 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 57.283 * * [simplify]: iters left: 6 (19 enodes) 57.288 * * [simplify]: iters left: 5 (80 enodes) 57.302 * * [simplify]: iters left: 4 (133 enodes) 57.324 * * [simplify]: iters left: 3 (202 enodes) 57.366 * * [simplify]: iters left: 2 (348 enodes) 57.469 * * [simplify]: Extracting #0: cost 1 inf + 0 57.469 * * [simplify]: Extracting #1: cost 11 inf + 0 57.469 * * [simplify]: Extracting #2: cost 22 inf + 0 57.469 * * [simplify]: Extracting #3: cost 36 inf + 0 57.469 * * [simplify]: Extracting #4: cost 84 inf + 205 57.470 * * [simplify]: Extracting #5: cost 154 inf + 573 57.471 * * [simplify]: Extracting #6: cost 134 inf + 5531 57.474 * * [simplify]: Extracting #7: cost 81 inf + 18923 57.483 * * [simplify]: Extracting #8: cost 32 inf + 51190 57.502 * * [simplify]: Extracting #9: cost 2 inf + 77571 57.522 * * [simplify]: Extracting #10: cost 0 inf + 79775 57.544 * [simplify]: Simplified to (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) 57.544 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 57.544 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 57.545 * * [simplify]: iters left: 6 (17 enodes) 57.554 * * [simplify]: iters left: 5 (68 enodes) 57.571 * * [simplify]: iters left: 4 (106 enodes) 57.591 * * [simplify]: iters left: 3 (171 enodes) 57.623 * * [simplify]: iters left: 2 (319 enodes) 57.698 * * [simplify]: Extracting #0: cost 1 inf + 0 57.698 * * [simplify]: Extracting #1: cost 4 inf + 0 57.698 * * [simplify]: Extracting #2: cost 8 inf + 0 57.698 * * [simplify]: Extracting #3: cost 23 inf + 0 57.699 * * [simplify]: Extracting #4: cost 73 inf + 164 57.699 * * [simplify]: Extracting #5: cost 139 inf + 331 57.700 * * [simplify]: Extracting #6: cost 126 inf + 4475 57.704 * * [simplify]: Extracting #7: cost 52 inf + 28397 57.710 * * [simplify]: Extracting #8: cost 15 inf + 53129 57.718 * * [simplify]: Extracting #9: cost 0 inf + 64230 57.727 * * [simplify]: Extracting #10: cost 0 inf + 64099 57.736 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 57.736 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 57.736 * * * * [progress]: [ 155 / 209 ] simplifiying candidate # 57.736 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 57.736 * * [simplify]: iters left: 6 (20 enodes) 57.745 * * [simplify]: iters left: 5 (80 enodes) 57.758 * * [simplify]: iters left: 4 (122 enodes) 57.780 * * [simplify]: iters left: 3 (187 enodes) 57.824 * * [simplify]: iters left: 2 (330 enodes) 57.897 * * [simplify]: Extracting #0: cost 1 inf + 0 57.897 * * [simplify]: Extracting #1: cost 7 inf + 0 57.897 * * [simplify]: Extracting #2: cost 15 inf + 0 57.897 * * [simplify]: Extracting #3: cost 30 inf + 0 57.897 * * [simplify]: Extracting #4: cost 78 inf + 164 57.898 * * [simplify]: Extracting #5: cost 145 inf + 531 57.899 * * [simplify]: Extracting #6: cost 159 inf + 1031 57.903 * * [simplify]: Extracting #7: cost 95 inf + 15249 57.912 * * [simplify]: Extracting #8: cost 38 inf + 40469 57.926 * * [simplify]: Extracting #9: cost 1 inf + 67739 57.938 * * [simplify]: Extracting #10: cost 0 inf + 68476 57.954 * [simplify]: Simplified to (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (fabs (cbrt k))) 57.954 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (fabs (cbrt k))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 57.955 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 57.955 * * [simplify]: iters left: 6 (18 enodes) 57.964 * * [simplify]: iters left: 5 (71 enodes) 57.984 * * [simplify]: iters left: 4 (113 enodes) 58.016 * * [simplify]: iters left: 3 (173 enodes) 58.054 * * [simplify]: iters left: 2 (300 enodes) 58.123 * * [simplify]: Extracting #0: cost 1 inf + 0 58.123 * * [simplify]: Extracting #1: cost 4 inf + 0 58.123 * * [simplify]: Extracting #2: cost 8 inf + 0 58.123 * * [simplify]: Extracting #3: cost 23 inf + 0 58.123 * * [simplify]: Extracting #4: cost 67 inf + 406 58.124 * * [simplify]: Extracting #5: cost 136 inf + 410 58.127 * * [simplify]: Extracting #6: cost 150 inf + 871 58.131 * * [simplify]: Extracting #7: cost 86 inf + 17348 58.139 * * [simplify]: Extracting #8: cost 31 inf + 40309 58.147 * * [simplify]: Extracting #9: cost 7 inf + 57953 58.155 * * [simplify]: Extracting #10: cost 0 inf + 64442 58.164 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 58.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 58.164 * * * * [progress]: [ 156 / 209 ] simplifiying candidate # 58.164 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 58.165 * * [simplify]: iters left: 6 (18 enodes) 58.171 * * [simplify]: iters left: 5 (73 enodes) 58.190 * * [simplify]: iters left: 4 (119 enodes) 58.209 * * [simplify]: iters left: 3 (182 enodes) 58.242 * * [simplify]: iters left: 2 (309 enodes) 58.316 * * [simplify]: Extracting #0: cost 1 inf + 0 58.316 * * [simplify]: Extracting #1: cost 7 inf + 0 58.316 * * [simplify]: Extracting #2: cost 14 inf + 0 58.316 * * [simplify]: Extracting #3: cost 29 inf + 0 58.316 * * [simplify]: Extracting #4: cost 79 inf + 43 58.317 * * [simplify]: Extracting #5: cost 147 inf + 251 58.320 * * [simplify]: Extracting #6: cost 127 inf + 5883 58.329 * * [simplify]: Extracting #7: cost 42 inf + 42555 58.344 * * [simplify]: Extracting #8: cost 4 inf + 71560 58.357 * * [simplify]: Extracting #9: cost 0 inf + 74695 58.368 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 58.368 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 58.368 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 58.368 * * [simplify]: iters left: 6 (17 enodes) 58.373 * * [simplify]: iters left: 5 (68 enodes) 58.384 * * [simplify]: iters left: 4 (106 enodes) 58.418 * * [simplify]: iters left: 3 (171 enodes) 58.457 * * [simplify]: iters left: 2 (319 enodes) 58.528 * * [simplify]: Extracting #0: cost 1 inf + 0 58.528 * * [simplify]: Extracting #1: cost 4 inf + 0 58.528 * * [simplify]: Extracting #2: cost 8 inf + 0 58.528 * * [simplify]: Extracting #3: cost 23 inf + 0 58.528 * * [simplify]: Extracting #4: cost 73 inf + 124 58.528 * * [simplify]: Extracting #5: cost 139 inf + 251 58.530 * * [simplify]: Extracting #6: cost 126 inf + 4395 58.533 * * [simplify]: Extracting #7: cost 52 inf + 28237 58.545 * * [simplify]: Extracting #8: cost 15 inf + 52969 58.554 * * [simplify]: Extracting #9: cost 0 inf + 64070 58.562 * * [simplify]: Extracting #10: cost 0 inf + 63939 58.570 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 58.571 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 58.571 * * * * [progress]: [ 157 / 209 ] simplifiying candidate # 58.571 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt 1)) 58.571 * * [simplify]: iters left: 6 (18 enodes) 58.576 * * [simplify]: iters left: 5 (73 enodes) 58.597 * * [simplify]: iters left: 4 (119 enodes) 58.616 * * [simplify]: iters left: 3 (183 enodes) 58.653 * * [simplify]: iters left: 2 (311 enodes) 58.729 * * [simplify]: Extracting #0: cost 1 inf + 0 58.729 * * [simplify]: Extracting #1: cost 5 inf + 0 58.729 * * [simplify]: Extracting #2: cost 7 inf + 1 58.729 * * [simplify]: Extracting #3: cost 20 inf + 1 58.729 * * [simplify]: Extracting #4: cost 71 inf + 2 58.730 * * [simplify]: Extracting #5: cost 144 inf + 5 58.730 * * [simplify]: Extracting #6: cost 162 inf + 179 58.731 * * [simplify]: Extracting #7: cost 156 inf + 677 58.733 * * [simplify]: Extracting #8: cost 96 inf + 15358 58.738 * * [simplify]: Extracting #9: cost 37 inf + 40131 58.747 * * [simplify]: Extracting #10: cost 0 inf + 71069 58.762 * * [simplify]: Extracting #11: cost 0 inf + 70819 58.784 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 58.784 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 58.785 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 58.785 * * [simplify]: iters left: 6 (16 enodes) 58.794 * * [simplify]: iters left: 5 (65 enodes) 58.814 * * [simplify]: iters left: 4 (103 enodes) 58.849 * * [simplify]: iters left: 3 (168 enodes) 58.908 * * [simplify]: iters left: 2 (313 enodes) 59.000 * * [simplify]: Extracting #0: cost 1 inf + 0 59.000 * * [simplify]: Extracting #1: cost 4 inf + 0 59.000 * * [simplify]: Extracting #2: cost 8 inf + 0 59.000 * * [simplify]: Extracting #3: cost 18 inf + 42 59.000 * * [simplify]: Extracting #4: cost 70 inf + 84 59.001 * * [simplify]: Extracting #5: cost 139 inf + 89 59.003 * * [simplify]: Extracting #6: cost 128 inf + 3824 59.010 * * [simplify]: Extracting #7: cost 55 inf + 27480 59.023 * * [simplify]: Extracting #8: cost 10 inf + 58809 59.035 * * [simplify]: Extracting #9: cost 0 inf + 65195 59.043 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 59.043 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt 1)) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 59.044 * * * * [progress]: [ 158 / 209 ] simplifiying candidate # 59.044 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 59.044 * * [simplify]: iters left: 6 (18 enodes) 59.049 * * [simplify]: iters left: 5 (73 enodes) 59.069 * * [simplify]: iters left: 4 (119 enodes) 59.089 * * [simplify]: iters left: 3 (182 enodes) 59.137 * * [simplify]: iters left: 2 (309 enodes) 59.228 * * [simplify]: Extracting #0: cost 1 inf + 0 59.228 * * [simplify]: Extracting #1: cost 7 inf + 0 59.228 * * [simplify]: Extracting #2: cost 14 inf + 0 59.228 * * [simplify]: Extracting #3: cost 29 inf + 0 59.228 * * [simplify]: Extracting #4: cost 79 inf + 43 59.229 * * [simplify]: Extracting #5: cost 147 inf + 251 59.232 * * [simplify]: Extracting #6: cost 127 inf + 5883 59.245 * * [simplify]: Extracting #7: cost 42 inf + 42555 59.262 * * [simplify]: Extracting #8: cost 4 inf + 71560 59.271 * * [simplify]: Extracting #9: cost 0 inf + 74695 59.280 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 59.281 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 59.281 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 59.281 * * [simplify]: iters left: 6 (17 enodes) 59.286 * * [simplify]: iters left: 5 (68 enodes) 59.297 * * [simplify]: iters left: 4 (106 enodes) 59.324 * * [simplify]: iters left: 3 (171 enodes) 59.383 * * [simplify]: iters left: 2 (319 enodes) 59.508 * * [simplify]: Extracting #0: cost 1 inf + 0 59.508 * * [simplify]: Extracting #1: cost 4 inf + 0 59.508 * * [simplify]: Extracting #2: cost 8 inf + 0 59.508 * * [simplify]: Extracting #3: cost 23 inf + 0 59.508 * * [simplify]: Extracting #4: cost 73 inf + 124 59.509 * * [simplify]: Extracting #5: cost 139 inf + 251 59.511 * * [simplify]: Extracting #6: cost 126 inf + 4395 59.518 * * [simplify]: Extracting #7: cost 52 inf + 28237 59.532 * * [simplify]: Extracting #8: cost 15 inf + 52969 59.548 * * [simplify]: Extracting #9: cost 0 inf + 64070 59.562 * * [simplify]: Extracting #10: cost 0 inf + 63939 59.570 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 59.570 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 59.570 * * * * [progress]: [ 159 / 209 ] simplifiying candidate # 59.570 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 1) 59.571 * * [simplify]: iters left: 6 (17 enodes) 59.575 * * [simplify]: iters left: 5 (68 enodes) 59.594 * * [simplify]: iters left: 4 (114 enodes) 59.620 * * [simplify]: iters left: 3 (180 enodes) 59.663 * * [simplify]: iters left: 2 (325 enodes) 59.742 * * [simplify]: Extracting #0: cost 1 inf + 0 59.742 * * [simplify]: Extracting #1: cost 5 inf + 0 59.742 * * [simplify]: Extracting #2: cost 7 inf + 1 59.742 * * [simplify]: Extracting #3: cost 20 inf + 1 59.742 * * [simplify]: Extracting #4: cost 75 inf + 2 59.743 * * [simplify]: Extracting #5: cost 148 inf + 6 59.743 * * [simplify]: Extracting #6: cost 167 inf + 262 59.744 * * [simplify]: Extracting #7: cost 165 inf + 430 59.745 * * [simplify]: Extracting #8: cost 122 inf + 8832 59.750 * * [simplify]: Extracting #9: cost 49 inf + 35320 59.763 * * [simplify]: Extracting #10: cost 8 inf + 65386 59.779 * * [simplify]: Extracting #11: cost 0 inf + 71504 59.788 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 59.789 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 59.789 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 59.789 * * [simplify]: iters left: 6 (16 enodes) 59.796 * * [simplify]: iters left: 5 (65 enodes) 59.818 * * [simplify]: iters left: 4 (103 enodes) 59.848 * * [simplify]: iters left: 3 (168 enodes) 59.909 * * [simplify]: iters left: 2 (313 enodes) 60.023 * * [simplify]: Extracting #0: cost 1 inf + 0 60.023 * * [simplify]: Extracting #1: cost 4 inf + 0 60.023 * * [simplify]: Extracting #2: cost 8 inf + 0 60.024 * * [simplify]: Extracting #3: cost 18 inf + 42 60.024 * * [simplify]: Extracting #4: cost 70 inf + 84 60.025 * * [simplify]: Extracting #5: cost 139 inf + 89 60.027 * * [simplify]: Extracting #6: cost 128 inf + 3824 60.033 * * [simplify]: Extracting #7: cost 55 inf + 27480 60.046 * * [simplify]: Extracting #8: cost 10 inf + 58809 60.063 * * [simplify]: Extracting #9: cost 0 inf + 65195 60.080 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 60.080 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 1) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 60.080 * * * * [progress]: [ 160 / 209 ] simplifiying candidate # 60.080 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 60.081 * * [simplify]: iters left: 6 (18 enodes) 60.093 * * [simplify]: iters left: 5 (73 enodes) 60.117 * * [simplify]: iters left: 4 (118 enodes) 60.149 * * [simplify]: iters left: 3 (178 enodes) 60.180 * * [simplify]: iters left: 2 (305 enodes) 60.267 * * [simplify]: Extracting #0: cost 1 inf + 0 60.268 * * [simplify]: Extracting #1: cost 6 inf + 0 60.268 * * [simplify]: Extracting #2: cost 13 inf + 0 60.268 * * [simplify]: Extracting #3: cost 32 inf + 0 60.268 * * [simplify]: Extracting #4: cost 84 inf + 285 60.269 * * [simplify]: Extracting #5: cost 138 inf + 657 60.271 * * [simplify]: Extracting #6: cost 119 inf + 5373 60.279 * * [simplify]: Extracting #7: cost 55 inf + 27516 60.293 * * [simplify]: Extracting #8: cost 6 inf + 62626 60.311 * * [simplify]: Extracting #9: cost 0 inf + 67456 60.331 * [simplify]: Simplified to (/ (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) 60.332 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 60.332 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 60.332 * * [simplify]: iters left: 6 (17 enodes) 60.341 * * [simplify]: iters left: 5 (68 enodes) 60.360 * * [simplify]: iters left: 4 (107 enodes) 60.377 * * [simplify]: iters left: 3 (169 enodes) 60.417 * * [simplify]: iters left: 2 (312 enodes) 60.486 * * [simplify]: Extracting #0: cost 1 inf + 0 60.486 * * [simplify]: Extracting #1: cost 4 inf + 0 60.486 * * [simplify]: Extracting #2: cost 9 inf + 0 60.486 * * [simplify]: Extracting #3: cost 28 inf + 0 60.486 * * [simplify]: Extracting #4: cost 84 inf + 164 60.487 * * [simplify]: Extracting #5: cost 137 inf + 414 60.488 * * [simplify]: Extracting #6: cost 125 inf + 4150 60.492 * * [simplify]: Extracting #7: cost 56 inf + 27466 60.505 * * [simplify]: Extracting #8: cost 8 inf + 58581 60.524 * * [simplify]: Extracting #9: cost 0 inf + 64592 60.537 * * [simplify]: Extracting #10: cost 0 inf + 64420 60.545 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 60.545 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 60.545 * * * * [progress]: [ 161 / 209 ] simplifiying candidate # 60.546 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (* (cbrt k) (cbrt k)))) 60.546 * * [simplify]: iters left: 6 (19 enodes) 60.551 * * [simplify]: iters left: 5 (75 enodes) 60.566 * * [simplify]: iters left: 4 (114 enodes) 60.589 * * [simplify]: iters left: 3 (179 enodes) 60.622 * * [simplify]: iters left: 2 (324 enodes) 60.701 * * [simplify]: Extracting #0: cost 1 inf + 0 60.701 * * [simplify]: Extracting #1: cost 4 inf + 0 60.701 * * [simplify]: Extracting #2: cost 10 inf + 0 60.701 * * [simplify]: Extracting #3: cost 30 inf + 0 60.701 * * [simplify]: Extracting #4: cost 86 inf + 446 60.701 * * [simplify]: Extracting #5: cost 141 inf + 654 60.702 * * [simplify]: Extracting #6: cost 154 inf + 1114 60.706 * * [simplify]: Extracting #7: cost 88 inf + 15288 60.711 * * [simplify]: Extracting #8: cost 34 inf + 36655 60.719 * * [simplify]: Extracting #9: cost 5 inf + 61662 60.727 * * [simplify]: Extracting #10: cost 0 inf + 66860 60.738 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (fabs (cbrt k))) 60.738 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (fabs (cbrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 60.739 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 60.739 * * [simplify]: iters left: 6 (18 enodes) 60.747 * * [simplify]: iters left: 5 (71 enodes) 60.768 * * [simplify]: iters left: 4 (114 enodes) 60.794 * * [simplify]: iters left: 3 (174 enodes) 60.824 * * [simplify]: iters left: 2 (301 enodes) 60.890 * * [simplify]: Extracting #0: cost 1 inf + 0 60.890 * * [simplify]: Extracting #1: cost 4 inf + 0 60.890 * * [simplify]: Extracting #2: cost 9 inf + 0 60.890 * * [simplify]: Extracting #3: cost 28 inf + 0 60.891 * * [simplify]: Extracting #4: cost 79 inf + 406 60.891 * * [simplify]: Extracting #5: cost 137 inf + 412 60.892 * * [simplify]: Extracting #6: cost 151 inf + 748 60.893 * * [simplify]: Extracting #7: cost 92 inf + 13065 60.901 * * [simplify]: Extracting #8: cost 40 inf + 31894 60.914 * * [simplify]: Extracting #9: cost 13 inf + 51899 60.929 * * [simplify]: Extracting #10: cost 0 inf + 65415 60.937 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 60.937 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 60.938 * * * * [progress]: [ 162 / 209 ] simplifiying candidate # 60.938 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.938 * * [simplify]: iters left: 6 (17 enodes) 60.943 * * [simplify]: iters left: 5 (68 enodes) 60.962 * * [simplify]: iters left: 4 (107 enodes) 60.982 * * [simplify]: iters left: 3 (169 enodes) 61.012 * * [simplify]: iters left: 2 (312 enodes) 61.115 * * [simplify]: Extracting #0: cost 1 inf + 0 61.115 * * [simplify]: Extracting #1: cost 4 inf + 0 61.115 * * [simplify]: Extracting #2: cost 9 inf + 0 61.115 * * [simplify]: Extracting #3: cost 28 inf + 0 61.116 * * [simplify]: Extracting #4: cost 84 inf + 124 61.116 * * [simplify]: Extracting #5: cost 137 inf + 334 61.117 * * [simplify]: Extracting #6: cost 125 inf + 4070 61.120 * * [simplify]: Extracting #7: cost 56 inf + 27346 61.128 * * [simplify]: Extracting #8: cost 8 inf + 58421 61.136 * * [simplify]: Extracting #9: cost 0 inf + 64432 61.145 * * [simplify]: Extracting #10: cost 0 inf + 64260 61.155 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 61.155 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 61.155 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 61.156 * * [simplify]: iters left: 6 (17 enodes) 61.160 * * [simplify]: iters left: 5 (68 enodes) 61.181 * * [simplify]: iters left: 4 (107 enodes) 61.210 * * [simplify]: iters left: 3 (169 enodes) 61.258 * * [simplify]: iters left: 2 (312 enodes) 61.338 * * [simplify]: Extracting #0: cost 1 inf + 0 61.338 * * [simplify]: Extracting #1: cost 4 inf + 0 61.338 * * [simplify]: Extracting #2: cost 9 inf + 0 61.338 * * [simplify]: Extracting #3: cost 28 inf + 0 61.338 * * [simplify]: Extracting #4: cost 84 inf + 124 61.339 * * [simplify]: Extracting #5: cost 137 inf + 334 61.341 * * [simplify]: Extracting #6: cost 125 inf + 4070 61.347 * * [simplify]: Extracting #7: cost 56 inf + 27346 61.357 * * [simplify]: Extracting #8: cost 8 inf + 58421 61.366 * * [simplify]: Extracting #9: cost 0 inf + 64432 61.377 * * [simplify]: Extracting #10: cost 0 inf + 64260 61.397 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 61.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 61.398 * * * * [progress]: [ 163 / 209 ] simplifiying candidate # 61.398 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt 1)) 61.398 * * [simplify]: iters left: 6 (17 enodes) 61.408 * * [simplify]: iters left: 5 (68 enodes) 61.429 * * [simplify]: iters left: 4 (107 enodes) 61.457 * * [simplify]: iters left: 3 (171 enodes) 61.494 * * [simplify]: iters left: 2 (315 enodes) 61.579 * * [simplify]: Extracting #0: cost 1 inf + 0 61.579 * * [simplify]: Extracting #1: cost 5 inf + 0 61.579 * * [simplify]: Extracting #2: cost 21 inf + 1 61.580 * * [simplify]: Extracting #3: cost 78 inf + 2 61.580 * * [simplify]: Extracting #4: cost 140 inf + 7 61.582 * * [simplify]: Extracting #5: cost 159 inf + 137 61.583 * * [simplify]: Extracting #6: cost 152 inf + 677 61.588 * * [simplify]: Extracting #7: cost 66 inf + 28718 61.595 * * [simplify]: Extracting #8: cost 5 inf + 59336 61.607 * * [simplify]: Extracting #9: cost 0 inf + 62677 61.619 * * [simplify]: Extracting #10: cost 0 inf + 62246 61.638 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 61.638 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 61.638 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 61.639 * * [simplify]: iters left: 6 (16 enodes) 61.647 * * [simplify]: iters left: 5 (65 enodes) 61.668 * * [simplify]: iters left: 4 (104 enodes) 61.688 * * [simplify]: iters left: 3 (170 enodes) 61.737 * * [simplify]: iters left: 2 (315 enodes) 61.830 * * [simplify]: Extracting #0: cost 1 inf + 0 61.830 * * [simplify]: Extracting #1: cost 4 inf + 0 61.830 * * [simplify]: Extracting #2: cost 9 inf + 0 61.831 * * [simplify]: Extracting #3: cost 23 inf + 42 61.831 * * [simplify]: Extracting #4: cost 86 inf + 84 61.832 * * [simplify]: Extracting #5: cost 144 inf + 254 61.834 * * [simplify]: Extracting #6: cost 113 inf + 6986 61.837 * * [simplify]: Extracting #7: cost 62 inf + 23045 61.845 * * [simplify]: Extracting #8: cost 5 inf + 65307 61.854 * * [simplify]: Extracting #9: cost 0 inf + 69042 61.863 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 61.863 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt 1)) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 61.864 * * * * [progress]: [ 164 / 209 ] simplifiying candidate # 61.864 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 61.864 * * [simplify]: iters left: 6 (17 enodes) 61.871 * * [simplify]: iters left: 5 (68 enodes) 61.892 * * [simplify]: iters left: 4 (107 enodes) 61.924 * * [simplify]: iters left: 3 (169 enodes) 61.985 * * [simplify]: iters left: 2 (312 enodes) 62.048 * * [simplify]: Extracting #0: cost 1 inf + 0 62.048 * * [simplify]: Extracting #1: cost 4 inf + 0 62.048 * * [simplify]: Extracting #2: cost 9 inf + 0 62.048 * * [simplify]: Extracting #3: cost 28 inf + 0 62.049 * * [simplify]: Extracting #4: cost 84 inf + 124 62.049 * * [simplify]: Extracting #5: cost 137 inf + 334 62.051 * * [simplify]: Extracting #6: cost 125 inf + 4070 62.055 * * [simplify]: Extracting #7: cost 56 inf + 27346 62.062 * * [simplify]: Extracting #8: cost 8 inf + 58421 62.071 * * [simplify]: Extracting #9: cost 0 inf + 64432 62.080 * * [simplify]: Extracting #10: cost 0 inf + 64260 62.089 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 62.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 62.089 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 62.089 * * [simplify]: iters left: 6 (17 enodes) 62.094 * * [simplify]: iters left: 5 (68 enodes) 62.105 * * [simplify]: iters left: 4 (107 enodes) 62.125 * * [simplify]: iters left: 3 (169 enodes) 62.163 * * [simplify]: iters left: 2 (312 enodes) 62.241 * * [simplify]: Extracting #0: cost 1 inf + 0 62.241 * * [simplify]: Extracting #1: cost 4 inf + 0 62.241 * * [simplify]: Extracting #2: cost 9 inf + 0 62.241 * * [simplify]: Extracting #3: cost 28 inf + 0 62.241 * * [simplify]: Extracting #4: cost 84 inf + 124 62.242 * * [simplify]: Extracting #5: cost 137 inf + 334 62.243 * * [simplify]: Extracting #6: cost 125 inf + 4070 62.246 * * [simplify]: Extracting #7: cost 56 inf + 27346 62.257 * * [simplify]: Extracting #8: cost 8 inf + 58421 62.268 * * [simplify]: Extracting #9: cost 0 inf + 64432 62.277 * * [simplify]: Extracting #10: cost 0 inf + 64260 62.285 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 62.286 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 62.286 * * * * [progress]: [ 165 / 209 ] simplifiying candidate # 62.286 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 1) 62.286 * * [simplify]: iters left: 6 (16 enodes) 62.294 * * [simplify]: iters left: 5 (63 enodes) 62.316 * * [simplify]: iters left: 4 (102 enodes) 62.345 * * [simplify]: iters left: 3 (167 enodes) 62.387 * * [simplify]: iters left: 2 (315 enodes) 62.465 * * [simplify]: Extracting #0: cost 1 inf + 0 62.465 * * [simplify]: Extracting #1: cost 5 inf + 0 62.465 * * [simplify]: Extracting #2: cost 20 inf + 1 62.465 * * [simplify]: Extracting #3: cost 82 inf + 2 62.466 * * [simplify]: Extracting #4: cost 142 inf + 7 62.466 * * [simplify]: Extracting #5: cost 160 inf + 138 62.467 * * [simplify]: Extracting #6: cost 154 inf + 555 62.469 * * [simplify]: Extracting #7: cost 71 inf + 21386 62.477 * * [simplify]: Extracting #8: cost 7 inf + 57805 62.486 * * [simplify]: Extracting #9: cost 0 inf + 61897 62.498 * * [simplify]: Extracting #10: cost 0 inf + 61767 62.518 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 62.518 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 62.519 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 62.519 * * [simplify]: iters left: 6 (16 enodes) 62.527 * * [simplify]: iters left: 5 (65 enodes) 62.546 * * [simplify]: iters left: 4 (104 enodes) 62.576 * * [simplify]: iters left: 3 (170 enodes) 62.622 * * [simplify]: iters left: 2 (315 enodes) 62.685 * * [simplify]: Extracting #0: cost 1 inf + 0 62.685 * * [simplify]: Extracting #1: cost 4 inf + 0 62.685 * * [simplify]: Extracting #2: cost 9 inf + 0 62.685 * * [simplify]: Extracting #3: cost 23 inf + 42 62.685 * * [simplify]: Extracting #4: cost 86 inf + 84 62.686 * * [simplify]: Extracting #5: cost 144 inf + 254 62.687 * * [simplify]: Extracting #6: cost 113 inf + 6986 62.691 * * [simplify]: Extracting #7: cost 62 inf + 23045 62.702 * * [simplify]: Extracting #8: cost 5 inf + 65307 62.723 * * [simplify]: Extracting #9: cost 0 inf + 69042 62.733 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 62.733 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 1) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 62.733 * * * * [progress]: [ 166 / 209 ] simplifiying candidate # 62.733 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 62.734 * * [simplify]: iters left: 6 (6 enodes) 62.735 * * [simplify]: iters left: 5 (22 enodes) 62.739 * * [simplify]: iters left: 4 (26 enodes) 62.743 * * [simplify]: Extracting #0: cost 1 inf + 0 62.743 * * [simplify]: Extracting #1: cost 6 inf + 0 62.743 * * [simplify]: Extracting #2: cost 9 inf + 1 62.743 * * [simplify]: Extracting #3: cost 11 inf + 1 62.743 * * [simplify]: Extracting #4: cost 8 inf + 84 62.743 * * [simplify]: Extracting #5: cost 2 inf + 1013 62.744 * * [simplify]: Extracting #6: cost 0 inf + 1376 62.744 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 62.744 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 62.744 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 62.744 * * [simplify]: iters left: 6 (16 enodes) 62.748 * * [simplify]: iters left: 5 (65 enodes) 62.763 * * [simplify]: iters left: 4 (105 enodes) 62.782 * * [simplify]: iters left: 3 (176 enodes) 62.817 * * [simplify]: iters left: 2 (340 enodes) 62.898 * * [simplify]: Extracting #0: cost 1 inf + 0 62.898 * * [simplify]: Extracting #1: cost 30 inf + 0 62.898 * * [simplify]: Extracting #2: cost 73 inf + 0 62.899 * * [simplify]: Extracting #3: cost 138 inf + 2 62.899 * * [simplify]: Extracting #4: cost 179 inf + 134 62.901 * * [simplify]: Extracting #5: cost 160 inf + 7475 62.906 * * [simplify]: Extracting #6: cost 70 inf + 42522 62.917 * * [simplify]: Extracting #7: cost 13 inf + 94602 62.931 * * [simplify]: Extracting #8: cost 0 inf + 106896 62.946 * * [simplify]: Extracting #9: cost 0 inf + 105685 62.971 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 62.971 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 62.971 * * * * [progress]: [ 167 / 209 ] simplifiying candidate # 62.971 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 62.971 * * [simplify]: iters left: 6 (6 enodes) 62.974 * * [simplify]: iters left: 5 (21 enodes) 62.977 * * [simplify]: iters left: 4 (23 enodes) 62.981 * * [simplify]: Extracting #0: cost 1 inf + 0 62.981 * * [simplify]: Extracting #1: cost 4 inf + 0 62.981 * * [simplify]: Extracting #2: cost 6 inf + 1 62.981 * * [simplify]: Extracting #3: cost 9 inf + 1 62.981 * * [simplify]: Extracting #4: cost 8 inf + 2 62.981 * * [simplify]: Extracting #5: cost 1 inf + 810 62.981 * * [simplify]: Extracting #6: cost 0 inf + 972 62.981 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 62.981 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 62.984 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 62.984 * * [simplify]: iters left: 6 (17 enodes) 62.989 * * [simplify]: iters left: 5 (68 enodes) 63.001 * * [simplify]: iters left: 4 (108 enodes) 63.019 * * [simplify]: iters left: 3 (179 enodes) 63.063 * * [simplify]: iters left: 2 (343 enodes) 63.170 * * [simplify]: Extracting #0: cost 1 inf + 0 63.170 * * [simplify]: Extracting #1: cost 30 inf + 0 63.170 * * [simplify]: Extracting #2: cost 72 inf + 0 63.171 * * [simplify]: Extracting #3: cost 139 inf + 2 63.172 * * [simplify]: Extracting #4: cost 184 inf + 11 63.174 * * [simplify]: Extracting #5: cost 178 inf + 3928 63.180 * * [simplify]: Extracting #6: cost 106 inf + 18913 63.196 * * [simplify]: Extracting #7: cost 34 inf + 72000 63.209 * * [simplify]: Extracting #8: cost 0 inf + 107491 63.228 * * [simplify]: Extracting #9: cost 0 inf + 106969 63.254 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))) 63.255 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))))) 63.255 * * * * [progress]: [ 168 / 209 ] simplifiying candidate # 63.255 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 63.255 * * [simplify]: iters left: 4 (5 enodes) 63.257 * * [simplify]: iters left: 3 (17 enodes) 63.259 * * [simplify]: iters left: 2 (19 enodes) 63.262 * * [simplify]: Extracting #0: cost 1 inf + 0 63.262 * * [simplify]: Extracting #1: cost 4 inf + 0 63.262 * * [simplify]: Extracting #2: cost 5 inf + 1 63.263 * * [simplify]: Extracting #3: cost 7 inf + 1 63.263 * * [simplify]: Extracting #4: cost 0 inf + 490 63.263 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 63.263 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 63.263 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 63.263 * * [simplify]: iters left: 6 (16 enodes) 63.267 * * [simplify]: iters left: 5 (65 enodes) 63.278 * * [simplify]: iters left: 4 (105 enodes) 63.307 * * [simplify]: iters left: 3 (176 enodes) 63.370 * * [simplify]: iters left: 2 (340 enodes) 63.474 * * [simplify]: Extracting #0: cost 1 inf + 0 63.474 * * [simplify]: Extracting #1: cost 30 inf + 0 63.474 * * [simplify]: Extracting #2: cost 73 inf + 0 63.474 * * [simplify]: Extracting #3: cost 138 inf + 2 63.475 * * [simplify]: Extracting #4: cost 179 inf + 134 63.476 * * [simplify]: Extracting #5: cost 160 inf + 7395 63.481 * * [simplify]: Extracting #6: cost 70 inf + 42122 63.496 * * [simplify]: Extracting #7: cost 13 inf + 93402 63.524 * * [simplify]: Extracting #8: cost 0 inf + 105416 63.555 * * [simplify]: Extracting #9: cost 0 inf + 104205 63.583 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 63.583 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 63.583 * * * * [progress]: [ 169 / 209 ] simplifiying candidate # 63.583 * [simplify]: Simplifying (/ 1 (sqrt 1)) 63.583 * * [simplify]: iters left: 3 (3 enodes) 63.589 * * [simplify]: iters left: 2 (11 enodes) 63.592 * * [simplify]: iters left: 1 (13 enodes) 63.595 * * [simplify]: Extracting #0: cost 1 inf + 0 63.596 * * [simplify]: Extracting #1: cost 0 inf + 1 63.596 * [simplify]: Simplified to 1 63.596 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 63.596 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 63.596 * * [simplify]: iters left: 6 (15 enodes) 63.604 * * [simplify]: iters left: 5 (62 enodes) 63.624 * * [simplify]: iters left: 4 (102 enodes) 63.658 * * [simplify]: iters left: 3 (174 enodes) 63.724 * * [simplify]: iters left: 2 (338 enodes) 63.855 * * [simplify]: Extracting #0: cost 1 inf + 0 63.855 * * [simplify]: Extracting #1: cost 30 inf + 0 63.856 * * [simplify]: Extracting #2: cost 73 inf + 0 63.856 * * [simplify]: Extracting #3: cost 132 inf + 44 63.857 * * [simplify]: Extracting #4: cost 174 inf + 461 63.861 * * [simplify]: Extracting #5: cost 146 inf + 9585 63.872 * * [simplify]: Extracting #6: cost 70 inf + 42795 63.894 * * [simplify]: Extracting #7: cost 9 inf + 94296 63.920 * * [simplify]: Extracting #8: cost 1 inf + 101598 63.947 * * [simplify]: Extracting #9: cost 0 inf + 102507 63.973 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 63.973 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 63.973 * * * * [progress]: [ 170 / 209 ] simplifiying candidate # 63.974 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 63.974 * * [simplify]: iters left: 4 (5 enodes) 63.976 * * [simplify]: iters left: 3 (17 enodes) 63.982 * * [simplify]: iters left: 2 (19 enodes) 63.987 * * [simplify]: Extracting #0: cost 1 inf + 0 63.988 * * [simplify]: Extracting #1: cost 4 inf + 0 63.988 * * [simplify]: Extracting #2: cost 5 inf + 1 63.988 * * [simplify]: Extracting #3: cost 7 inf + 1 63.988 * * [simplify]: Extracting #4: cost 0 inf + 490 63.988 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 63.988 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 63.989 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 63.989 * * [simplify]: iters left: 6 (16 enodes) 63.998 * * [simplify]: iters left: 5 (65 enodes) 64.022 * * [simplify]: iters left: 4 (105 enodes) 64.048 * * [simplify]: iters left: 3 (176 enodes) 64.089 * * [simplify]: iters left: 2 (340 enodes) 64.192 * * [simplify]: Extracting #0: cost 1 inf + 0 64.192 * * [simplify]: Extracting #1: cost 30 inf + 0 64.192 * * [simplify]: Extracting #2: cost 73 inf + 0 64.193 * * [simplify]: Extracting #3: cost 138 inf + 2 64.194 * * [simplify]: Extracting #4: cost 179 inf + 134 64.197 * * [simplify]: Extracting #5: cost 160 inf + 7395 64.206 * * [simplify]: Extracting #6: cost 70 inf + 42122 64.233 * * [simplify]: Extracting #7: cost 13 inf + 93402 64.257 * * [simplify]: Extracting #8: cost 0 inf + 105416 64.271 * * [simplify]: Extracting #9: cost 0 inf + 104205 64.284 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 64.284 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 64.285 * * * * [progress]: [ 171 / 209 ] simplifiying candidate # 64.285 * [simplify]: Simplifying (/ 1 1) 64.285 * * [simplify]: iters left: 2 (2 enodes) 64.286 * * [simplify]: iters left: 1 (6 enodes) 64.287 * * [simplify]: Extracting #0: cost 1 inf + 0 64.287 * * [simplify]: Extracting #1: cost 0 inf + 1 64.287 * [simplify]: Simplified to 1 64.288 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 64.288 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 64.288 * * [simplify]: iters left: 6 (15 enodes) 64.292 * * [simplify]: iters left: 5 (62 enodes) 64.310 * * [simplify]: iters left: 4 (102 enodes) 64.338 * * [simplify]: iters left: 3 (174 enodes) 64.374 * * [simplify]: iters left: 2 (338 enodes) 64.504 * * [simplify]: Extracting #0: cost 1 inf + 0 64.505 * * [simplify]: Extracting #1: cost 30 inf + 0 64.505 * * [simplify]: Extracting #2: cost 73 inf + 0 64.505 * * [simplify]: Extracting #3: cost 132 inf + 44 64.506 * * [simplify]: Extracting #4: cost 174 inf + 461 64.507 * * [simplify]: Extracting #5: cost 146 inf + 9585 64.513 * * [simplify]: Extracting #6: cost 70 inf + 42795 64.524 * * [simplify]: Extracting #7: cost 9 inf + 94296 64.544 * * [simplify]: Extracting #8: cost 1 inf + 101598 64.561 * * [simplify]: Extracting #9: cost 0 inf + 102507 64.577 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 64.577 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 64.577 * * * * [progress]: [ 172 / 209 ] simplifiying candidate # 64.577 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.578 * * [simplify]: iters left: 6 (18 enodes) 64.583 * * [simplify]: iters left: 5 (76 enodes) 64.609 * * [simplify]: iters left: 4 (129 enodes) 64.644 * * [simplify]: iters left: 3 (226 enodes) 64.699 * * [simplify]: iters left: 2 (460 enodes) 64.807 * * [simplify]: Extracting #0: cost 1 inf + 0 64.807 * * [simplify]: Extracting #1: cost 55 inf + 0 64.807 * * [simplify]: Extracting #2: cost 146 inf + 0 64.808 * * [simplify]: Extracting #3: cost 228 inf + 2 64.809 * * [simplify]: Extracting #4: cost 259 inf + 2500 64.812 * * [simplify]: Extracting #5: cost 219 inf + 14825 64.833 * * [simplify]: Extracting #6: cost 90 inf + 102866 64.881 * * [simplify]: Extracting #7: cost 9 inf + 181684 64.908 * * [simplify]: Extracting #8: cost 0 inf + 190846 64.940 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 64.940 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (cbrt (sqrt k))))) 64.941 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (cbrt (sqrt k))) 64.941 * * [simplify]: iters left: 6 (17 enodes) 64.946 * * [simplify]: iters left: 5 (71 enodes) 64.958 * * [simplify]: iters left: 4 (115 enodes) 64.987 * * [simplify]: iters left: 3 (193 enodes) 65.033 * * [simplify]: iters left: 2 (371 enodes) 65.140 * * [simplify]: Extracting #0: cost 1 inf + 0 65.140 * * [simplify]: Extracting #1: cost 30 inf + 0 65.140 * * [simplify]: Extracting #2: cost 73 inf + 0 65.140 * * [simplify]: Extracting #3: cost 145 inf + 2 65.141 * * [simplify]: Extracting #4: cost 192 inf + 177 65.143 * * [simplify]: Extracting #5: cost 170 inf + 8501 65.148 * * [simplify]: Extracting #6: cost 71 inf + 45081 65.172 * * [simplify]: Extracting #7: cost 5 inf + 99842 65.199 * * [simplify]: Extracting #8: cost 0 inf + 104312 65.225 * * [simplify]: Extracting #9: cost 0 inf + 104181 65.251 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (cbrt (sqrt k))) 65.251 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (cbrt (sqrt k))))) 65.252 * * * * [progress]: [ 173 / 209 ] simplifiying candidate # 65.252 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 65.252 * * [simplify]: iters left: 6 (19 enodes) 65.263 * * [simplify]: iters left: 5 (78 enodes) 65.287 * * [simplify]: iters left: 4 (125 enodes) 65.331 * * [simplify]: iters left: 3 (207 enodes) 65.376 * * [simplify]: iters left: 2 (395 enodes) 65.478 * * [simplify]: Extracting #0: cost 1 inf + 0 65.478 * * [simplify]: Extracting #1: cost 30 inf + 0 65.478 * * [simplify]: Extracting #2: cost 72 inf + 0 65.479 * * [simplify]: Extracting #3: cost 146 inf + 2 65.479 * * [simplify]: Extracting #4: cost 196 inf + 13 65.481 * * [simplify]: Extracting #5: cost 188 inf + 4323 65.485 * * [simplify]: Extracting #6: cost 86 inf + 35766 65.496 * * [simplify]: Extracting #7: cost 20 inf + 86604 65.516 * * [simplify]: Extracting #8: cost 0 inf + 105957 65.546 * * [simplify]: Extracting #9: cost 0 inf + 105565 65.573 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (fabs (cbrt k))) 65.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (cbrt k))))) 65.574 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (cbrt k))) 65.574 * * [simplify]: iters left: 6 (18 enodes) 65.579 * * [simplify]: iters left: 5 (74 enodes) 65.591 * * [simplify]: iters left: 4 (121 enodes) 65.612 * * [simplify]: iters left: 3 (203 enodes) 65.664 * * [simplify]: iters left: 2 (389 enodes) 65.823 * * [simplify]: Extracting #0: cost 1 inf + 0 65.823 * * [simplify]: Extracting #1: cost 30 inf + 0 65.823 * * [simplify]: Extracting #2: cost 72 inf + 0 65.824 * * [simplify]: Extracting #3: cost 146 inf + 2 65.825 * * [simplify]: Extracting #4: cost 198 inf + 13 65.828 * * [simplify]: Extracting #5: cost 193 inf + 5454 65.839 * * [simplify]: Extracting #6: cost 85 inf + 49546 65.864 * * [simplify]: Extracting #7: cost 6 inf + 106419 65.888 * * [simplify]: Extracting #8: cost 0 inf + 110176 65.902 * * [simplify]: Extracting #9: cost 0 inf + 109915 65.916 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (cbrt k))) 65.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (cbrt k))))) 65.916 * * * * [progress]: [ 174 / 209 ] simplifiying candidate # 65.916 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 65.916 * * [simplify]: iters left: 6 (17 enodes) 65.925 * * [simplify]: iters left: 5 (71 enodes) 65.948 * * [simplify]: iters left: 4 (115 enodes) 65.986 * * [simplify]: iters left: 3 (193 enodes) 66.045 * * [simplify]: iters left: 2 (371 enodes) 66.128 * * [simplify]: Extracting #0: cost 1 inf + 0 66.128 * * [simplify]: Extracting #1: cost 30 inf + 0 66.128 * * [simplify]: Extracting #2: cost 73 inf + 0 66.128 * * [simplify]: Extracting #3: cost 145 inf + 2 66.129 * * [simplify]: Extracting #4: cost 192 inf + 177 66.131 * * [simplify]: Extracting #5: cost 170 inf + 8421 66.137 * * [simplify]: Extracting #6: cost 71 inf + 44641 66.148 * * [simplify]: Extracting #7: cost 5 inf + 98562 66.162 * * [simplify]: Extracting #8: cost 0 inf + 102832 66.179 * * [simplify]: Extracting #9: cost 0 inf + 102701 66.193 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 66.193 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))))) 66.193 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 66.193 * * [simplify]: iters left: 6 (17 enodes) 66.202 * * [simplify]: iters left: 5 (71 enodes) 66.225 * * [simplify]: iters left: 4 (115 enodes) 66.263 * * [simplify]: iters left: 3 (193 enodes) 66.336 * * [simplify]: iters left: 2 (371 enodes) 66.468 * * [simplify]: Extracting #0: cost 1 inf + 0 66.468 * * [simplify]: Extracting #1: cost 30 inf + 0 66.469 * * [simplify]: Extracting #2: cost 73 inf + 0 66.470 * * [simplify]: Extracting #3: cost 145 inf + 2 66.471 * * [simplify]: Extracting #4: cost 192 inf + 177 66.474 * * [simplify]: Extracting #5: cost 170 inf + 8421 66.486 * * [simplify]: Extracting #6: cost 71 inf + 44641 66.510 * * [simplify]: Extracting #7: cost 5 inf + 98562 66.527 * * [simplify]: Extracting #8: cost 0 inf + 102832 66.541 * * [simplify]: Extracting #9: cost 0 inf + 102701 66.558 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 66.559 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))))) 66.559 * * * * [progress]: [ 175 / 209 ] simplifiying candidate # 66.559 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt 1)) 66.559 * * [simplify]: iters left: 6 (17 enodes) 66.574 * * [simplify]: iters left: 5 (71 enodes) 66.596 * * [simplify]: iters left: 4 (113 enodes) 66.615 * * [simplify]: iters left: 3 (187 enodes) 66.650 * * [simplify]: iters left: 2 (358 enodes) 66.753 * * [simplify]: Extracting #0: cost 1 inf + 0 66.753 * * [simplify]: Extracting #1: cost 22 inf + 0 66.753 * * [simplify]: Extracting #2: cost 91 inf + 2 66.753 * * [simplify]: Extracting #3: cost 169 inf + 7 66.754 * * [simplify]: Extracting #4: cost 190 inf + 264 66.755 * * [simplify]: Extracting #5: cost 156 inf + 6250 66.763 * * [simplify]: Extracting #6: cost 55 inf + 36100 66.773 * * [simplify]: Extracting #7: cost 6 inf + 72284 66.793 * * [simplify]: Extracting #8: cost 0 inf + 77196 66.813 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) 66.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 66.814 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)) 66.814 * * [simplify]: iters left: 6 (16 enodes) 66.824 * * [simplify]: iters left: 5 (68 enodes) 66.847 * * [simplify]: iters left: 4 (112 enodes) 66.883 * * [simplify]: iters left: 3 (190 enodes) 66.939 * * [simplify]: iters left: 2 (367 enodes) 67.043 * * [simplify]: Extracting #0: cost 1 inf + 0 67.043 * * [simplify]: Extracting #1: cost 30 inf + 0 67.044 * * [simplify]: Extracting #2: cost 75 inf + 0 67.044 * * [simplify]: Extracting #3: cost 139 inf + 85 67.045 * * [simplify]: Extracting #4: cost 186 inf + 586 67.047 * * [simplify]: Extracting #5: cost 158 inf + 10560 67.052 * * [simplify]: Extracting #6: cost 80 inf + 40036 67.073 * * [simplify]: Extracting #7: cost 9 inf + 98320 67.101 * * [simplify]: Extracting #8: cost 0 inf + 106436 67.133 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)) 67.133 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt 1)) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)))) 67.133 * * * * [progress]: [ 176 / 209 ] simplifiying candidate # 67.134 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 67.134 * * [simplify]: iters left: 6 (17 enodes) 67.143 * * [simplify]: iters left: 5 (71 enodes) 67.166 * * [simplify]: iters left: 4 (115 enodes) 67.204 * * [simplify]: iters left: 3 (193 enodes) 67.273 * * [simplify]: iters left: 2 (371 enodes) 67.380 * * [simplify]: Extracting #0: cost 1 inf + 0 67.380 * * [simplify]: Extracting #1: cost 30 inf + 0 67.380 * * [simplify]: Extracting #2: cost 73 inf + 0 67.381 * * [simplify]: Extracting #3: cost 145 inf + 2 67.383 * * [simplify]: Extracting #4: cost 192 inf + 177 67.386 * * [simplify]: Extracting #5: cost 170 inf + 8421 67.397 * * [simplify]: Extracting #6: cost 71 inf + 44641 67.421 * * [simplify]: Extracting #7: cost 5 inf + 98562 67.447 * * [simplify]: Extracting #8: cost 0 inf + 102832 67.474 * * [simplify]: Extracting #9: cost 0 inf + 102701 67.503 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 67.503 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))))) 67.503 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 67.503 * * [simplify]: iters left: 6 (17 enodes) 67.513 * * [simplify]: iters left: 5 (71 enodes) 67.539 * * [simplify]: iters left: 4 (115 enodes) 67.560 * * [simplify]: iters left: 3 (193 enodes) 67.601 * * [simplify]: iters left: 2 (371 enodes) 67.704 * * [simplify]: Extracting #0: cost 1 inf + 0 67.704 * * [simplify]: Extracting #1: cost 30 inf + 0 67.704 * * [simplify]: Extracting #2: cost 73 inf + 0 67.704 * * [simplify]: Extracting #3: cost 145 inf + 2 67.705 * * [simplify]: Extracting #4: cost 192 inf + 177 67.707 * * [simplify]: Extracting #5: cost 170 inf + 8421 67.713 * * [simplify]: Extracting #6: cost 71 inf + 44641 67.731 * * [simplify]: Extracting #7: cost 5 inf + 98562 67.758 * * [simplify]: Extracting #8: cost 0 inf + 102832 67.771 * * [simplify]: Extracting #9: cost 0 inf + 102701 67.784 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 67.784 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))))) 67.784 * * * * [progress]: [ 177 / 209 ] simplifiying candidate # 67.785 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) 67.785 * * [simplify]: iters left: 6 (16 enodes) 67.793 * * [simplify]: iters left: 5 (66 enodes) 67.816 * * [simplify]: iters left: 4 (110 enodes) 67.850 * * [simplify]: iters left: 3 (188 enodes) 67.893 * * [simplify]: iters left: 2 (367 enodes) 67.992 * * [simplify]: Extracting #0: cost 1 inf + 0 67.992 * * [simplify]: Extracting #1: cost 33 inf + 0 67.992 * * [simplify]: Extracting #2: cost 108 inf + 2 67.993 * * [simplify]: Extracting #3: cost 191 inf + 7 67.994 * * [simplify]: Extracting #4: cost 213 inf + 181 67.995 * * [simplify]: Extracting #5: cost 177 inf + 5165 67.999 * * [simplify]: Extracting #6: cost 97 inf + 27379 68.010 * * [simplify]: Extracting #7: cost 14 inf + 87918 68.027 * * [simplify]: Extracting #8: cost 0 inf + 100871 68.042 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 68.042 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 68.043 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)) 68.043 * * [simplify]: iters left: 6 (16 enodes) 68.053 * * [simplify]: iters left: 5 (68 enodes) 68.074 * * [simplify]: iters left: 4 (112 enodes) 68.111 * * [simplify]: iters left: 3 (190 enodes) 68.183 * * [simplify]: iters left: 2 (367 enodes) 68.275 * * [simplify]: Extracting #0: cost 1 inf + 0 68.276 * * [simplify]: Extracting #1: cost 30 inf + 0 68.276 * * [simplify]: Extracting #2: cost 75 inf + 0 68.277 * * [simplify]: Extracting #3: cost 139 inf + 85 68.278 * * [simplify]: Extracting #4: cost 186 inf + 586 68.282 * * [simplify]: Extracting #5: cost 158 inf + 10560 68.291 * * [simplify]: Extracting #6: cost 80 inf + 40036 68.303 * * [simplify]: Extracting #7: cost 9 inf + 98320 68.317 * * [simplify]: Extracting #8: cost 0 inf + 106436 68.344 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)) 68.344 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)))) 68.345 * * * * [progress]: [ 178 / 209 ] simplifiying candidate # 68.345 * * * * [progress]: [ 179 / 209 ] simplifiying candidate # 68.345 * * * * [progress]: [ 180 / 209 ] simplifiying candidate # 68.345 * * * * [progress]: [ 181 / 209 ] simplifiying candidate # 68.345 * [simplify]: Simplifying (cbrt (sqrt k)) 68.345 * * [simplify]: iters left: 2 (3 enodes) 68.347 * * [simplify]: iters left: 1 (9 enodes) 68.349 * * [simplify]: Extracting #0: cost 1 inf + 0 68.349 * * [simplify]: Extracting #1: cost 3 inf + 0 68.349 * * [simplify]: Extracting #2: cost 5 inf + 0 68.349 * * [simplify]: Extracting #3: cost 4 inf + 1 68.349 * * [simplify]: Extracting #4: cost 0 inf + 325 68.349 * [simplify]: Simplified to (cbrt (sqrt k)) 68.349 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 68.350 * * * * [progress]: [ 182 / 209 ] simplifiying candidate # 68.350 * [simplify]: Simplifying (sqrt (cbrt k)) 68.350 * * [simplify]: iters left: 2 (3 enodes) 68.351 * * [simplify]: iters left: 1 (9 enodes) 68.353 * * [simplify]: Extracting #0: cost 1 inf + 0 68.353 * * [simplify]: Extracting #1: cost 3 inf + 0 68.354 * * [simplify]: Extracting #2: cost 5 inf + 0 68.354 * * [simplify]: Extracting #3: cost 4 inf + 1 68.354 * * [simplify]: Extracting #4: cost 0 inf + 405 68.354 * [simplify]: Simplified to (sqrt (cbrt k)) 68.354 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 68.354 * * * * [progress]: [ 183 / 209 ] simplifiying candidate # 68.354 * [simplify]: Simplifying (sqrt (sqrt k)) 68.354 * * [simplify]: iters left: 2 (3 enodes) 68.356 * * [simplify]: iters left: 1 (9 enodes) 68.358 * * [simplify]: Extracting #0: cost 1 inf + 0 68.358 * * [simplify]: Extracting #1: cost 3 inf + 0 68.358 * * [simplify]: Extracting #2: cost 5 inf + 0 68.358 * * [simplify]: Extracting #3: cost 4 inf + 1 68.358 * * [simplify]: Extracting #4: cost 0 inf + 245 68.359 * [simplify]: Simplified to (sqrt (sqrt k)) 68.359 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 68.359 * * * * [progress]: [ 184 / 209 ] simplifiying candidate # 68.359 * [simplify]: Simplifying (sqrt k) 68.359 * * [simplify]: iters left: 1 (2 enodes) 68.360 * * [simplify]: Extracting #0: cost 1 inf + 0 68.360 * * [simplify]: Extracting #1: cost 3 inf + 0 68.360 * * [simplify]: Extracting #2: cost 2 inf + 1 68.360 * * [simplify]: Extracting #3: cost 0 inf + 83 68.360 * [simplify]: Simplified to (sqrt k) 68.360 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (sqrt k))) 68.360 * * * * [progress]: [ 185 / 209 ] simplifiying candidate # 68.361 * [simplify]: Simplifying (sqrt (sqrt k)) 68.361 * * [simplify]: iters left: 2 (3 enodes) 68.362 * * [simplify]: iters left: 1 (9 enodes) 68.364 * * [simplify]: Extracting #0: cost 1 inf + 0 68.364 * * [simplify]: Extracting #1: cost 3 inf + 0 68.364 * * [simplify]: Extracting #2: cost 5 inf + 0 68.364 * * [simplify]: Extracting #3: cost 4 inf + 1 68.364 * * [simplify]: Extracting #4: cost 0 inf + 245 68.365 * [simplify]: Simplified to (sqrt (sqrt k)) 68.365 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 68.365 * * * * [progress]: [ 186 / 209 ] simplifiying candidate # 68.365 * [simplify]: Simplifying (sqrt k) 68.365 * * [simplify]: iters left: 1 (2 enodes) 68.366 * * [simplify]: Extracting #0: cost 1 inf + 0 68.366 * * [simplify]: Extracting #1: cost 3 inf + 0 68.366 * * [simplify]: Extracting #2: cost 2 inf + 1 68.366 * * [simplify]: Extracting #3: cost 0 inf + 83 68.366 * [simplify]: Simplified to (sqrt k) 68.366 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 1) (sqrt k))) 68.366 * * * * [progress]: [ 187 / 209 ] simplifiying candidate # 68.367 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 68.367 * * [simplify]: iters left: 6 (11 enodes) 68.373 * * [simplify]: iters left: 5 (46 enodes) 68.390 * * [simplify]: iters left: 4 (80 enodes) 68.404 * * [simplify]: iters left: 3 (135 enodes) 68.450 * * [simplify]: iters left: 2 (262 enodes) 68.555 * * [simplify]: Extracting #0: cost 1 inf + 0 68.556 * * [simplify]: Extracting #1: cost 14 inf + 0 68.556 * * [simplify]: Extracting #2: cost 66 inf + 1 68.556 * * [simplify]: Extracting #3: cost 127 inf + 6 68.557 * * [simplify]: Extracting #4: cost 147 inf + 11 68.557 * * [simplify]: Extracting #5: cost 134 inf + 1777 68.560 * * [simplify]: Extracting #6: cost 61 inf + 18363 68.565 * * [simplify]: Extracting #7: cost 19 inf + 39858 68.571 * * [simplify]: Extracting #8: cost 1 inf + 55694 68.579 * * [simplify]: Extracting #9: cost 0 inf + 56467 68.594 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 68.594 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 68.594 * * * * [progress]: [ 188 / 209 ] simplifiying candidate # 68.595 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 68.595 * * [simplify]: iters left: 6 (16 enodes) 68.603 * * [simplify]: iters left: 5 (65 enodes) 68.614 * * [simplify]: iters left: 4 (103 enodes) 68.638 * * [simplify]: iters left: 3 (168 enodes) 68.671 * * [simplify]: iters left: 2 (313 enodes) 68.762 * * [simplify]: Extracting #0: cost 1 inf + 0 68.762 * * [simplify]: Extracting #1: cost 13 inf + 0 68.763 * * [simplify]: Extracting #2: cost 57 inf + 1 68.763 * * [simplify]: Extracting #3: cost 91 inf + 6 68.763 * * [simplify]: Extracting #4: cost 108 inf + 10 68.764 * * [simplify]: Extracting #5: cost 145 inf + 52 68.765 * * [simplify]: Extracting #6: cost 119 inf + 5883 68.768 * * [simplify]: Extracting #7: cost 52 inf + 24618 68.777 * * [simplify]: Extracting #8: cost 11 inf + 59981 68.792 * * [simplify]: Extracting #9: cost 0 inf + 68869 68.809 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 68.809 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 68.809 * * * * [progress]: [ 189 / 209 ] simplifiying candidate # 68.809 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 68.809 * * [simplify]: iters left: 6 (15 enodes) 68.814 * * [simplify]: iters left: 5 (62 enodes) 68.827 * * [simplify]: iters left: 4 (101 enodes) 68.853 * * [simplify]: iters left: 3 (167 enodes) 68.886 * * [simplify]: iters left: 2 (315 enodes) 68.961 * * [simplify]: Extracting #0: cost 1 inf + 0 68.962 * * [simplify]: Extracting #1: cost 14 inf + 0 68.962 * * [simplify]: Extracting #2: cost 59 inf + 1 68.962 * * [simplify]: Extracting #3: cost 106 inf + 6 68.962 * * [simplify]: Extracting #4: cost 152 inf + 10 68.963 * * [simplify]: Extracting #5: cost 159 inf + 262 68.966 * * [simplify]: Extracting #6: cost 82 inf + 19132 68.982 * * [simplify]: Extracting #7: cost 9 inf + 56261 69.001 * * [simplify]: Extracting #8: cost 0 inf + 63185 69.019 * * [simplify]: Extracting #9: cost 0 inf + 62662 69.042 * * [simplify]: Extracting #10: cost 0 inf + 62532 69.061 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 69.061 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 69.062 * * * * [progress]: [ 190 / 209 ] simplifiying candidate # 69.062 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 69.062 * * [simplify]: iters left: 6 (7 enodes) 69.067 * * [simplify]: iters left: 5 (27 enodes) 69.075 * * [simplify]: iters left: 4 (36 enodes) 69.086 * * [simplify]: Extracting #0: cost 1 inf + 0 69.086 * * [simplify]: Extracting #1: cost 0 inf + 1 69.086 * [simplify]: Simplified to 1 69.086 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 69.086 * * * * [progress]: [ 191 / 209 ] simplifiying candidate # 69.086 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 69.086 * * [simplify]: iters left: 6 (15 enodes) 69.095 * * [simplify]: iters left: 5 (64 enodes) 69.116 * * [simplify]: iters left: 4 (107 enodes) 69.143 * * [simplify]: iters left: 3 (172 enodes) 69.180 * * [simplify]: iters left: 2 (308 enodes) 69.297 * * [simplify]: Extracting #0: cost 1 inf + 0 69.297 * * [simplify]: Extracting #1: cost 13 inf + 0 69.297 * * [simplify]: Extracting #2: cost 65 inf + 1 69.298 * * [simplify]: Extracting #3: cost 139 inf + 5 69.298 * * [simplify]: Extracting #4: cost 162 inf + 179 69.299 * * [simplify]: Extracting #5: cost 158 inf + 472 69.300 * * [simplify]: Extracting #6: cost 102 inf + 8559 69.305 * * [simplify]: Extracting #7: cost 44 inf + 34459 69.314 * * [simplify]: Extracting #8: cost 1 inf + 72965 69.330 * * [simplify]: Extracting #9: cost 0 inf + 71959 69.348 * * [simplify]: Extracting #10: cost 0 inf + 71828 69.358 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 69.358 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))))) 69.358 * * * * [progress]: [ 192 / 209 ] simplifiying candidate # 69.358 * [simplify]: Simplifying (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 69.359 * * [simplify]: iters left: 6 (16 enodes) 69.363 * * [simplify]: iters left: 5 (65 enodes) 69.374 * * [simplify]: iters left: 4 (103 enodes) 69.402 * * [simplify]: iters left: 3 (168 enodes) 69.441 * * [simplify]: iters left: 2 (313 enodes) 69.535 * * [simplify]: Extracting #0: cost 1 inf + 0 69.535 * * [simplify]: Extracting #1: cost 3 inf + 0 69.535 * * [simplify]: Extracting #2: cost 5 inf + 0 69.535 * * [simplify]: Extracting #3: cost 17 inf + 0 69.535 * * [simplify]: Extracting #4: cost 70 inf + 1 69.536 * * [simplify]: Extracting #5: cost 140 inf + 6 69.537 * * [simplify]: Extracting #6: cost 161 inf + 137 69.538 * * [simplify]: Extracting #7: cost 157 inf + 431 69.539 * * [simplify]: Extracting #8: cost 153 inf + 677 69.544 * * [simplify]: Extracting #9: cost 85 inf + 14103 69.554 * * [simplify]: Extracting #10: cost 26 inf + 42695 69.563 * * [simplify]: Extracting #11: cost 0 inf + 65195 69.572 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 69.572 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 69.572 * * * * [progress]: [ 193 / 209 ] simplifiying candidate # 69.572 * [simplify]: Simplifying (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 69.572 * * [simplify]: iters left: 6 (15 enodes) 69.576 * * [simplify]: iters left: 5 (62 enodes) 69.587 * * [simplify]: iters left: 4 (101 enodes) 69.607 * * [simplify]: iters left: 3 (167 enodes) 69.663 * * [simplify]: iters left: 2 (315 enodes) 69.760 * * [simplify]: Extracting #0: cost 1 inf + 0 69.760 * * [simplify]: Extracting #1: cost 4 inf + 0 69.760 * * [simplify]: Extracting #2: cost 21 inf + 0 69.760 * * [simplify]: Extracting #3: cost 83 inf + 1 69.761 * * [simplify]: Extracting #4: cost 141 inf + 7 69.762 * * [simplify]: Extracting #5: cost 159 inf + 138 69.763 * * [simplify]: Extracting #6: cost 155 inf + 431 69.769 * * [simplify]: Extracting #7: cost 72 inf + 22328 69.777 * * [simplify]: Extracting #8: cost 9 inf + 59517 69.785 * * [simplify]: Extracting #9: cost 0 inf + 64941 69.794 * * [simplify]: Extracting #10: cost 0 inf + 64288 69.804 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 69.804 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 69.804 * * * * [progress]: [ 194 / 209 ] simplifiying candidate # 69.804 * * * * [progress]: [ 195 / 209 ] simplifiying candidate # 69.804 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 69.805 * * [simplify]: iters left: 6 (15 enodes) 69.813 * * [simplify]: iters left: 5 (65 enodes) 69.835 * * [simplify]: iters left: 4 (107 enodes) 69.853 * * [simplify]: iters left: 3 (179 enodes) 69.913 * * [simplify]: iters left: 2 (343 enodes) 70.009 * * [simplify]: Extracting #0: cost 1 inf + 0 70.009 * * [simplify]: Extracting #1: cost 13 inf + 0 70.009 * * [simplify]: Extracting #2: cost 73 inf + 1 70.010 * * [simplify]: Extracting #3: cost 153 inf + 7 70.011 * * [simplify]: Extracting #4: cost 178 inf + 139 70.012 * * [simplify]: Extracting #5: cost 135 inf + 6597 70.016 * * [simplify]: Extracting #6: cost 68 inf + 20653 70.023 * * [simplify]: Extracting #7: cost 12 inf + 56523 70.043 * * [simplify]: Extracting #8: cost 0 inf + 66990 70.059 * * [simplify]: Extracting #9: cost 0 inf + 66598 70.069 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 70.069 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))))) 70.069 * * * * [progress]: [ 196 / 209 ] simplifiying candidate # 70.069 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) 70.069 * * [simplify]: iters left: 6 (13 enodes) 70.074 * * [simplify]: iters left: 5 (51 enodes) 70.084 * * [simplify]: iters left: 4 (87 enodes) 70.113 * * [simplify]: iters left: 3 (150 enodes) 70.172 * * [simplify]: iters left: 2 (282 enodes) 70.242 * * [simplify]: Extracting #0: cost 1 inf + 0 70.243 * * [simplify]: Extracting #1: cost 14 inf + 0 70.243 * * [simplify]: Extracting #2: cost 51 inf + 2 70.243 * * [simplify]: Extracting #3: cost 97 inf + 6 70.243 * * [simplify]: Extracting #4: cost 107 inf + 304 70.244 * * [simplify]: Extracting #5: cost 99 inf + 679 70.245 * * [simplify]: Extracting #6: cost 61 inf + 15971 70.254 * * [simplify]: Extracting #7: cost 16 inf + 39247 70.266 * * [simplify]: Extracting #8: cost 2 inf + 49106 70.282 * * [simplify]: Extracting #9: cost 0 inf + 50247 70.295 * * [simplify]: Extracting #10: cost 0 inf + 49986 70.307 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) 70.307 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2))))) 70.307 * * * * [progress]: [ 197 / 209 ] simplifiying candidate #real (real->posit16 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))))> 70.307 * * * * [progress]: [ 198 / 209 ] simplifiying candidate # 70.308 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 70.308 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 70.308 * * * * [progress]: [ 199 / 209 ] simplifiying candidate # 70.309 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 70.309 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 70.310 * * * * [progress]: [ 200 / 209 ] simplifiying candidate # 70.310 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 70.310 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 70.311 * * * * [progress]: [ 201 / 209 ] simplifiying candidate # 70.311 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 70.311 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 70.312 * * * * [progress]: [ 202 / 209 ] simplifiying candidate # 70.312 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 70.312 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 70.313 * * * * [progress]: [ 203 / 209 ] simplifiying candidate # 70.313 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 70.313 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 70.314 * * * * [progress]: [ 204 / 209 ] simplifiying candidate # 70.314 * [simplify]: Simplifying (* 2 (* n PI)) 70.314 * * [simplify]: iters left: 4 (5 enodes) 70.318 * * [simplify]: iters left: 3 (19 enodes) 70.321 * * [simplify]: iters left: 2 (27 enodes) 70.325 * * [simplify]: iters left: 1 (32 enodes) 70.328 * * [simplify]: Extracting #0: cost 1 inf + 0 70.329 * * [simplify]: Extracting #1: cost 8 inf + 0 70.329 * * [simplify]: Extracting #2: cost 7 inf + 45 70.329 * * [simplify]: Extracting #3: cost 0 inf + 421 70.329 * [simplify]: Simplified to (* (* PI n) 2) 70.329 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 70.329 * * * * [progress]: [ 205 / 209 ] simplifiying candidate # 70.329 * [simplify]: Simplifying (* 2 (* n PI)) 70.329 * * [simplify]: iters left: 4 (5 enodes) 70.331 * * [simplify]: iters left: 3 (19 enodes) 70.334 * * [simplify]: iters left: 2 (27 enodes) 70.338 * * [simplify]: iters left: 1 (32 enodes) 70.346 * * [simplify]: Extracting #0: cost 1 inf + 0 70.346 * * [simplify]: Extracting #1: cost 8 inf + 0 70.346 * * [simplify]: Extracting #2: cost 7 inf + 45 70.346 * * [simplify]: Extracting #3: cost 0 inf + 421 70.346 * [simplify]: Simplified to (* (* PI n) 2) 70.347 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 70.347 * * * * [progress]: [ 206 / 209 ] simplifiying candidate # 70.347 * [simplify]: Simplifying (* 2 (* n PI)) 70.347 * * [simplify]: iters left: 4 (5 enodes) 70.350 * * [simplify]: iters left: 3 (19 enodes) 70.356 * * [simplify]: iters left: 2 (27 enodes) 70.363 * * [simplify]: iters left: 1 (32 enodes) 70.367 * * [simplify]: Extracting #0: cost 1 inf + 0 70.367 * * [simplify]: Extracting #1: cost 8 inf + 0 70.367 * * [simplify]: Extracting #2: cost 7 inf + 45 70.367 * * [simplify]: Extracting #3: cost 0 inf + 421 70.367 * [simplify]: Simplified to (* (* PI n) 2) 70.367 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 70.367 * * * * [progress]: [ 207 / 209 ] simplifiying candidate # 70.368 * [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)))))))))))))))))))))) 70.368 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 70.368 * * * * [progress]: [ 208 / 209 ] simplifiying candidate # 70.368 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 3)))))))))))))))))))))) 70.368 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 70.369 * * * * [progress]: [ 209 / 209 ] simplifiying candidate # 70.369 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))))))))) 70.369 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 70.370 * * * [progress]: adding candidates to table 73.078 * * [progress]: iteration 3 / 4 73.078 * * * [progress]: picking best candidate 73.127 * * * * [pick]: Picked # 73.127 * * * [progress]: localizing error 73.195 * * * [progress]: generating rewritten candidates 73.195 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 73.234 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 73.247 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 73.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 73.298 * * * [progress]: generating series expansions 73.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 73.299 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 73.299 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 73.299 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 73.299 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 73.299 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 73.299 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 73.299 * [taylor]: Taking taylor expansion of (sqrt k) in k 73.299 * [taylor]: Taking taylor expansion of k in k 73.299 * [backup-simplify]: Simplify 0 into 0 73.299 * [backup-simplify]: Simplify 1 into 1 73.300 * [backup-simplify]: Simplify (sqrt 0) into 0 73.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.301 * [taylor]: Taking taylor expansion of 1 in k 73.301 * [backup-simplify]: Simplify 1 into 1 73.301 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 73.301 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 73.301 * [taylor]: Taking taylor expansion of 2 in k 73.301 * [backup-simplify]: Simplify 2 into 2 73.301 * [taylor]: Taking taylor expansion of (* n PI) in k 73.301 * [taylor]: Taking taylor expansion of n in k 73.301 * [backup-simplify]: Simplify n into n 73.301 * [taylor]: Taking taylor expansion of PI in k 73.301 * [backup-simplify]: Simplify PI into PI 73.301 * [backup-simplify]: Simplify (* n PI) into (* n PI) 73.301 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 73.301 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 73.301 * [backup-simplify]: Simplify (+ 0 1) into 1 73.301 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 73.301 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 73.302 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 73.302 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 73.302 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 73.302 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 73.302 * [taylor]: Taking taylor expansion of (sqrt k) in n 73.302 * [taylor]: Taking taylor expansion of k in n 73.302 * [backup-simplify]: Simplify k into k 73.302 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 73.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 73.302 * [taylor]: Taking taylor expansion of 1 in n 73.302 * [backup-simplify]: Simplify 1 into 1 73.302 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 73.302 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 73.302 * [taylor]: Taking taylor expansion of 2 in n 73.302 * [backup-simplify]: Simplify 2 into 2 73.302 * [taylor]: Taking taylor expansion of (* n PI) in n 73.302 * [taylor]: Taking taylor expansion of n in n 73.302 * [backup-simplify]: Simplify 0 into 0 73.302 * [backup-simplify]: Simplify 1 into 1 73.302 * [taylor]: Taking taylor expansion of PI in n 73.302 * [backup-simplify]: Simplify PI into PI 73.302 * [backup-simplify]: Simplify (* 0 PI) into 0 73.303 * [backup-simplify]: Simplify (* 2 0) into 0 73.303 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.304 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 73.305 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.305 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 73.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.306 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 73.307 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 73.307 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 73.307 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 73.307 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 73.307 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 73.307 * [taylor]: Taking taylor expansion of (sqrt k) in n 73.307 * [taylor]: Taking taylor expansion of k in n 73.307 * [backup-simplify]: Simplify k into k 73.307 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 73.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 73.307 * [taylor]: Taking taylor expansion of 1 in n 73.307 * [backup-simplify]: Simplify 1 into 1 73.307 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 73.307 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 73.307 * [taylor]: Taking taylor expansion of 2 in n 73.307 * [backup-simplify]: Simplify 2 into 2 73.308 * [taylor]: Taking taylor expansion of (* n PI) in n 73.308 * [taylor]: Taking taylor expansion of n in n 73.308 * [backup-simplify]: Simplify 0 into 0 73.308 * [backup-simplify]: Simplify 1 into 1 73.308 * [taylor]: Taking taylor expansion of PI in n 73.308 * [backup-simplify]: Simplify PI into PI 73.308 * [backup-simplify]: Simplify (* 0 PI) into 0 73.308 * [backup-simplify]: Simplify (* 2 0) into 0 73.309 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.310 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 73.311 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.311 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 73.312 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.312 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 73.313 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 73.313 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 73.313 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 73.313 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 73.313 * [taylor]: Taking taylor expansion of (sqrt k) in k 73.313 * [taylor]: Taking taylor expansion of k in k 73.313 * [backup-simplify]: Simplify 0 into 0 73.313 * [backup-simplify]: Simplify 1 into 1 73.313 * [backup-simplify]: Simplify (sqrt 0) into 0 73.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.314 * [taylor]: Taking taylor expansion of 1 in k 73.314 * [backup-simplify]: Simplify 1 into 1 73.314 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 73.314 * [taylor]: Taking taylor expansion of (log n) in k 73.314 * [taylor]: Taking taylor expansion of n in k 73.314 * [backup-simplify]: Simplify n into n 73.314 * [backup-simplify]: Simplify (log n) into (log n) 73.314 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 73.314 * [taylor]: Taking taylor expansion of (* 2 PI) in k 73.314 * [taylor]: Taking taylor expansion of 2 in k 73.314 * [backup-simplify]: Simplify 2 into 2 73.314 * [taylor]: Taking taylor expansion of PI in k 73.314 * [backup-simplify]: Simplify PI into PI 73.315 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.315 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.316 * [backup-simplify]: Simplify (+ 0 1) into 1 73.316 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.317 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 73.317 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 73.318 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 73.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 73.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 73.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.321 * [backup-simplify]: Simplify (+ 0 0) into 0 73.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.322 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 73.323 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.323 * [taylor]: Taking taylor expansion of 0 in k 73.323 * [backup-simplify]: Simplify 0 into 0 73.323 * [backup-simplify]: Simplify 0 into 0 73.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 73.328 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.330 * [backup-simplify]: Simplify (+ 0 0) into 0 73.330 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.332 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.333 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 73.337 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 73.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 73.339 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 73.343 * [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 73.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 73.344 * [backup-simplify]: Simplify (+ 0 0) into 0 73.345 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.347 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 73.349 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.349 * [taylor]: Taking taylor expansion of 0 in k 73.349 * [backup-simplify]: Simplify 0 into 0 73.349 * [backup-simplify]: Simplify 0 into 0 73.349 * [backup-simplify]: Simplify 0 into 0 73.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 73.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 73.355 * [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 73.356 * [backup-simplify]: Simplify (+ 0 0) into 0 73.359 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.360 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.365 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 73.369 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 73.378 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 73.379 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 73.379 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 73.379 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 73.379 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 73.379 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 73.379 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 73.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.379 * [taylor]: Taking taylor expansion of k in k 73.379 * [backup-simplify]: Simplify 0 into 0 73.379 * [backup-simplify]: Simplify 1 into 1 73.379 * [backup-simplify]: Simplify (/ 1 1) into 1 73.380 * [backup-simplify]: Simplify (sqrt 0) into 0 73.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.380 * [taylor]: Taking taylor expansion of 1 in k 73.380 * [backup-simplify]: Simplify 1 into 1 73.380 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 73.380 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 73.380 * [taylor]: Taking taylor expansion of 2 in k 73.381 * [backup-simplify]: Simplify 2 into 2 73.381 * [taylor]: Taking taylor expansion of (/ PI n) in k 73.381 * [taylor]: Taking taylor expansion of PI in k 73.381 * [backup-simplify]: Simplify PI into PI 73.381 * [taylor]: Taking taylor expansion of n in k 73.381 * [backup-simplify]: Simplify n into n 73.381 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 73.381 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 73.381 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 73.381 * [backup-simplify]: Simplify (+ 0 0) into 0 73.381 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 73.381 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 73.381 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 73.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 73.382 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.383 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.383 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 73.383 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 73.383 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 73.383 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 73.383 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 73.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.383 * [taylor]: Taking taylor expansion of k in n 73.383 * [backup-simplify]: Simplify k into k 73.383 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.383 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.383 * [taylor]: Taking taylor expansion of 1 in n 73.383 * [backup-simplify]: Simplify 1 into 1 73.383 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.383 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.383 * [taylor]: Taking taylor expansion of 2 in n 73.383 * [backup-simplify]: Simplify 2 into 2 73.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.383 * [taylor]: Taking taylor expansion of PI in n 73.383 * [backup-simplify]: Simplify PI into PI 73.383 * [taylor]: Taking taylor expansion of n in n 73.383 * [backup-simplify]: Simplify 0 into 0 73.383 * [backup-simplify]: Simplify 1 into 1 73.384 * [backup-simplify]: Simplify (/ PI 1) into PI 73.384 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.385 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.385 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 73.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.386 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.387 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 73.387 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 73.387 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 73.387 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 73.387 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 73.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.387 * [taylor]: Taking taylor expansion of k in n 73.387 * [backup-simplify]: Simplify k into k 73.387 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.387 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.387 * [taylor]: Taking taylor expansion of 1 in n 73.387 * [backup-simplify]: Simplify 1 into 1 73.387 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.387 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.387 * [taylor]: Taking taylor expansion of 2 in n 73.387 * [backup-simplify]: Simplify 2 into 2 73.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.387 * [taylor]: Taking taylor expansion of PI in n 73.387 * [backup-simplify]: Simplify PI into PI 73.387 * [taylor]: Taking taylor expansion of n in n 73.387 * [backup-simplify]: Simplify 0 into 0 73.387 * [backup-simplify]: Simplify 1 into 1 73.388 * [backup-simplify]: Simplify (/ PI 1) into PI 73.388 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.389 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.389 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 73.390 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.390 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.391 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 73.391 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 73.391 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 73.392 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 73.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.392 * [taylor]: Taking taylor expansion of k in k 73.392 * [backup-simplify]: Simplify 0 into 0 73.392 * [backup-simplify]: Simplify 1 into 1 73.392 * [backup-simplify]: Simplify (/ 1 1) into 1 73.392 * [backup-simplify]: Simplify (sqrt 0) into 0 73.393 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.393 * [taylor]: Taking taylor expansion of 1 in k 73.393 * [backup-simplify]: Simplify 1 into 1 73.393 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 73.393 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 73.393 * [taylor]: Taking taylor expansion of (* 2 PI) in k 73.393 * [taylor]: Taking taylor expansion of 2 in k 73.393 * [backup-simplify]: Simplify 2 into 2 73.393 * [taylor]: Taking taylor expansion of PI in k 73.393 * [backup-simplify]: Simplify PI into PI 73.393 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.394 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.394 * [taylor]: Taking taylor expansion of (log n) in k 73.394 * [taylor]: Taking taylor expansion of n in k 73.394 * [backup-simplify]: Simplify n into n 73.394 * [backup-simplify]: Simplify (log n) into (log n) 73.394 * [backup-simplify]: Simplify (+ 0 0) into 0 73.394 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 73.395 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 73.396 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 73.396 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 73.398 * [backup-simplify]: Simplify (- 0) into 0 73.398 * [backup-simplify]: Simplify (+ 0 0) into 0 73.398 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.399 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.401 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.402 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 73.404 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.405 * [backup-simplify]: Simplify (+ 0 0) into 0 73.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.406 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 73.408 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 73.408 * [taylor]: Taking taylor expansion of 0 in k 73.408 * [backup-simplify]: Simplify 0 into 0 73.408 * [backup-simplify]: Simplify 0 into 0 73.408 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 73.410 * [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 73.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 73.411 * [backup-simplify]: Simplify (- 0) into 0 73.411 * [backup-simplify]: Simplify (+ 0 0) into 0 73.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.414 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.414 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.418 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 73.421 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 73.432 * [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 73.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 73.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 73.433 * [backup-simplify]: Simplify (+ 0 0) into 0 73.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.436 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 73.439 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.439 * [taylor]: Taking taylor expansion of 0 in k 73.439 * [backup-simplify]: Simplify 0 into 0 73.439 * [backup-simplify]: Simplify 0 into 0 73.439 * [backup-simplify]: Simplify 0 into 0 73.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 73.446 * [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 73.449 * [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 73.449 * [backup-simplify]: Simplify (- 0) into 0 73.450 * [backup-simplify]: Simplify (+ 0 0) into 0 73.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.456 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.466 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 73.475 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.496 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 73.497 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 73.497 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 73.497 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 73.497 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 73.498 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 73.498 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 73.498 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.498 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.498 * [taylor]: Taking taylor expansion of -1 in k 73.498 * [backup-simplify]: Simplify -1 into -1 73.498 * [taylor]: Taking taylor expansion of k in k 73.498 * [backup-simplify]: Simplify 0 into 0 73.498 * [backup-simplify]: Simplify 1 into 1 73.498 * [backup-simplify]: Simplify (/ -1 1) into -1 73.499 * [backup-simplify]: Simplify (sqrt 0) into 0 73.500 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.500 * [taylor]: Taking taylor expansion of 1 in k 73.500 * [backup-simplify]: Simplify 1 into 1 73.500 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 73.500 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 73.500 * [taylor]: Taking taylor expansion of -2 in k 73.500 * [backup-simplify]: Simplify -2 into -2 73.500 * [taylor]: Taking taylor expansion of (/ PI n) in k 73.500 * [taylor]: Taking taylor expansion of PI in k 73.500 * [backup-simplify]: Simplify PI into PI 73.500 * [taylor]: Taking taylor expansion of n in k 73.500 * [backup-simplify]: Simplify n into n 73.501 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 73.501 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 73.501 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 73.501 * [backup-simplify]: Simplify (+ 0 0) into 0 73.501 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 73.501 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 73.502 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 73.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 73.503 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.504 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.504 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 73.504 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 73.504 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 73.505 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 73.505 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 73.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 73.505 * [taylor]: Taking taylor expansion of (/ -1 k) in n 73.505 * [taylor]: Taking taylor expansion of -1 in n 73.505 * [backup-simplify]: Simplify -1 into -1 73.505 * [taylor]: Taking taylor expansion of k in n 73.505 * [backup-simplify]: Simplify k into k 73.505 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 73.505 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 73.505 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 73.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 73.505 * [taylor]: Taking taylor expansion of 1 in n 73.505 * [backup-simplify]: Simplify 1 into 1 73.505 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.505 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.505 * [taylor]: Taking taylor expansion of -2 in n 73.505 * [backup-simplify]: Simplify -2 into -2 73.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.505 * [taylor]: Taking taylor expansion of PI in n 73.505 * [backup-simplify]: Simplify PI into PI 73.505 * [taylor]: Taking taylor expansion of n in n 73.505 * [backup-simplify]: Simplify 0 into 0 73.505 * [backup-simplify]: Simplify 1 into 1 73.506 * [backup-simplify]: Simplify (/ PI 1) into PI 73.506 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.507 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.507 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 73.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.510 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 73.511 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 73.511 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 73.511 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 73.511 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 73.511 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 73.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 73.511 * [taylor]: Taking taylor expansion of (/ -1 k) in n 73.511 * [taylor]: Taking taylor expansion of -1 in n 73.511 * [backup-simplify]: Simplify -1 into -1 73.511 * [taylor]: Taking taylor expansion of k in n 73.511 * [backup-simplify]: Simplify k into k 73.511 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 73.511 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 73.512 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 73.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 73.512 * [taylor]: Taking taylor expansion of 1 in n 73.512 * [backup-simplify]: Simplify 1 into 1 73.512 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.512 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.512 * [taylor]: Taking taylor expansion of -2 in n 73.512 * [backup-simplify]: Simplify -2 into -2 73.512 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.512 * [taylor]: Taking taylor expansion of PI in n 73.512 * [backup-simplify]: Simplify PI into PI 73.512 * [taylor]: Taking taylor expansion of n in n 73.512 * [backup-simplify]: Simplify 0 into 0 73.512 * [backup-simplify]: Simplify 1 into 1 73.512 * [backup-simplify]: Simplify (/ PI 1) into PI 73.513 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.514 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.514 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 73.516 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.517 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 73.518 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 73.518 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 73.518 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 73.518 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 73.518 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 73.518 * [taylor]: Taking taylor expansion of (* -2 PI) in k 73.518 * [taylor]: Taking taylor expansion of -2 in k 73.518 * [backup-simplify]: Simplify -2 into -2 73.518 * [taylor]: Taking taylor expansion of PI in k 73.518 * [backup-simplify]: Simplify PI into PI 73.519 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.520 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.520 * [taylor]: Taking taylor expansion of (log n) in k 73.520 * [taylor]: Taking taylor expansion of n in k 73.520 * [backup-simplify]: Simplify n into n 73.520 * [backup-simplify]: Simplify (log n) into (log n) 73.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 73.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.520 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.520 * [taylor]: Taking taylor expansion of -1 in k 73.520 * [backup-simplify]: Simplify -1 into -1 73.520 * [taylor]: Taking taylor expansion of k in k 73.520 * [backup-simplify]: Simplify 0 into 0 73.520 * [backup-simplify]: Simplify 1 into 1 73.521 * [backup-simplify]: Simplify (/ -1 1) into -1 73.521 * [backup-simplify]: Simplify (sqrt 0) into 0 73.522 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.522 * [taylor]: Taking taylor expansion of 1 in k 73.523 * [backup-simplify]: Simplify 1 into 1 73.523 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 73.524 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 73.524 * [backup-simplify]: Simplify (+ 0 0) into 0 73.525 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 73.526 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.526 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 73.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 73.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 73.529 * [backup-simplify]: Simplify (- 0) into 0 73.530 * [backup-simplify]: Simplify (+ 0 0) into 0 73.532 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.534 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.536 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 73.537 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 73.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 73.538 * [backup-simplify]: Simplify (+ 0 0) into 0 73.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.540 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 73.541 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 73.541 * [taylor]: Taking taylor expansion of 0 in k 73.541 * [backup-simplify]: Simplify 0 into 0 73.541 * [backup-simplify]: Simplify 0 into 0 73.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.543 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.543 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.544 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 73.546 * [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 73.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 73.547 * [backup-simplify]: Simplify (- 0) into 0 73.547 * [backup-simplify]: Simplify (+ 0 0) into 0 73.549 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.552 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.561 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.562 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 73.564 * [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 73.565 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 73.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 73.565 * [backup-simplify]: Simplify (+ 0 0) into 0 73.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.567 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 73.569 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.569 * [taylor]: Taking taylor expansion of 0 in k 73.569 * [backup-simplify]: Simplify 0 into 0 73.569 * [backup-simplify]: Simplify 0 into 0 73.569 * [backup-simplify]: Simplify 0 into 0 73.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.572 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.573 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 73.576 * [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 73.578 * [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 73.578 * [backup-simplify]: Simplify (- 0) into 0 73.578 * [backup-simplify]: Simplify (+ 0 0) into 0 73.580 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.584 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 73.590 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 73.606 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 73.606 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 73.607 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 73.607 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 73.607 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 73.607 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 73.607 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 73.607 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 73.607 * [taylor]: Taking taylor expansion of 1/2 in k 73.607 * [backup-simplify]: Simplify 1/2 into 1/2 73.607 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 73.607 * [taylor]: Taking taylor expansion of 1 in k 73.607 * [backup-simplify]: Simplify 1 into 1 73.607 * [taylor]: Taking taylor expansion of (sqrt k) in k 73.607 * [taylor]: Taking taylor expansion of k in k 73.607 * [backup-simplify]: Simplify 0 into 0 73.607 * [backup-simplify]: Simplify 1 into 1 73.608 * [backup-simplify]: Simplify (sqrt 0) into 0 73.609 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.609 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 73.609 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 73.609 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 73.609 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 73.609 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 73.610 * [taylor]: Taking taylor expansion of (sqrt k) in k 73.610 * [taylor]: Taking taylor expansion of k in k 73.610 * [backup-simplify]: Simplify 0 into 0 73.610 * [backup-simplify]: Simplify 1 into 1 73.610 * [backup-simplify]: Simplify (sqrt 0) into 0 73.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.611 * [taylor]: Taking taylor expansion of 1 in k 73.611 * [backup-simplify]: Simplify 1 into 1 73.611 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 73.611 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 73.611 * [taylor]: Taking taylor expansion of 2 in k 73.611 * [backup-simplify]: Simplify 2 into 2 73.612 * [taylor]: Taking taylor expansion of (* n PI) in k 73.612 * [taylor]: Taking taylor expansion of n in k 73.612 * [backup-simplify]: Simplify n into n 73.612 * [taylor]: Taking taylor expansion of PI in k 73.612 * [backup-simplify]: Simplify PI into PI 73.612 * [backup-simplify]: Simplify (* n PI) into (* n PI) 73.612 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 73.612 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 73.612 * [backup-simplify]: Simplify (+ 0 1) into 1 73.612 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 73.612 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 73.613 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 73.613 * [backup-simplify]: Simplify (- 0) into 0 73.613 * [backup-simplify]: Simplify (+ 1 0) into 1 73.614 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 73.614 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 73.614 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 73.614 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 73.614 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 73.614 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 73.614 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 73.614 * [taylor]: Taking taylor expansion of 1/2 in n 73.614 * [backup-simplify]: Simplify 1/2 into 1/2 73.615 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 73.615 * [taylor]: Taking taylor expansion of 1 in n 73.615 * [backup-simplify]: Simplify 1 into 1 73.615 * [taylor]: Taking taylor expansion of (sqrt k) in n 73.615 * [taylor]: Taking taylor expansion of k in n 73.615 * [backup-simplify]: Simplify k into k 73.615 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 73.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 73.615 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 73.615 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 73.615 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 73.615 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 73.615 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 73.615 * [taylor]: Taking taylor expansion of (sqrt k) in n 73.615 * [taylor]: Taking taylor expansion of k in n 73.615 * [backup-simplify]: Simplify k into k 73.615 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 73.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 73.615 * [taylor]: Taking taylor expansion of 1 in n 73.615 * [backup-simplify]: Simplify 1 into 1 73.615 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 73.615 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 73.615 * [taylor]: Taking taylor expansion of 2 in n 73.615 * [backup-simplify]: Simplify 2 into 2 73.615 * [taylor]: Taking taylor expansion of (* n PI) in n 73.615 * [taylor]: Taking taylor expansion of n in n 73.615 * [backup-simplify]: Simplify 0 into 0 73.615 * [backup-simplify]: Simplify 1 into 1 73.615 * [taylor]: Taking taylor expansion of PI in n 73.615 * [backup-simplify]: Simplify PI into PI 73.616 * [backup-simplify]: Simplify (* 0 PI) into 0 73.616 * [backup-simplify]: Simplify (* 2 0) into 0 73.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.619 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 73.620 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.620 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 73.622 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.623 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 73.624 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 73.625 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 73.626 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 73.626 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 73.626 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 73.627 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 73.628 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 73.628 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 73.628 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 73.628 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 73.628 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 73.628 * [taylor]: Taking taylor expansion of 1/2 in n 73.628 * [backup-simplify]: Simplify 1/2 into 1/2 73.628 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 73.628 * [taylor]: Taking taylor expansion of 1 in n 73.628 * [backup-simplify]: Simplify 1 into 1 73.628 * [taylor]: Taking taylor expansion of (sqrt k) in n 73.628 * [taylor]: Taking taylor expansion of k in n 73.628 * [backup-simplify]: Simplify k into k 73.628 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 73.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 73.629 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 73.629 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 73.629 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 73.629 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 73.629 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 73.629 * [taylor]: Taking taylor expansion of (sqrt k) in n 73.629 * [taylor]: Taking taylor expansion of k in n 73.629 * [backup-simplify]: Simplify k into k 73.629 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 73.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 73.629 * [taylor]: Taking taylor expansion of 1 in n 73.629 * [backup-simplify]: Simplify 1 into 1 73.629 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 73.629 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 73.629 * [taylor]: Taking taylor expansion of 2 in n 73.629 * [backup-simplify]: Simplify 2 into 2 73.629 * [taylor]: Taking taylor expansion of (* n PI) in n 73.629 * [taylor]: Taking taylor expansion of n in n 73.629 * [backup-simplify]: Simplify 0 into 0 73.629 * [backup-simplify]: Simplify 1 into 1 73.629 * [taylor]: Taking taylor expansion of PI in n 73.629 * [backup-simplify]: Simplify PI into PI 73.630 * [backup-simplify]: Simplify (* 0 PI) into 0 73.630 * [backup-simplify]: Simplify (* 2 0) into 0 73.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.633 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 73.634 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.634 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 73.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.637 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 73.638 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 73.639 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 73.639 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 73.639 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 73.639 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 73.640 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 73.641 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 73.641 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 73.641 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 73.641 * [taylor]: Taking taylor expansion of 1/2 in k 73.641 * [backup-simplify]: Simplify 1/2 into 1/2 73.642 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 73.642 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 73.642 * [taylor]: Taking taylor expansion of (sqrt k) in k 73.642 * [taylor]: Taking taylor expansion of k in k 73.642 * [backup-simplify]: Simplify 0 into 0 73.642 * [backup-simplify]: Simplify 1 into 1 73.642 * [backup-simplify]: Simplify (sqrt 0) into 0 73.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.644 * [taylor]: Taking taylor expansion of 1 in k 73.644 * [backup-simplify]: Simplify 1 into 1 73.644 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 73.644 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 73.644 * [taylor]: Taking taylor expansion of 1 in k 73.644 * [backup-simplify]: Simplify 1 into 1 73.644 * [taylor]: Taking taylor expansion of (sqrt k) in k 73.644 * [taylor]: Taking taylor expansion of k in k 73.644 * [backup-simplify]: Simplify 0 into 0 73.644 * [backup-simplify]: Simplify 1 into 1 73.644 * [backup-simplify]: Simplify (sqrt 0) into 0 73.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.646 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 73.646 * [taylor]: Taking taylor expansion of (log n) in k 73.646 * [taylor]: Taking taylor expansion of n in k 73.646 * [backup-simplify]: Simplify n into n 73.646 * [backup-simplify]: Simplify (log n) into (log n) 73.646 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 73.646 * [taylor]: Taking taylor expansion of (* 2 PI) in k 73.646 * [taylor]: Taking taylor expansion of 2 in k 73.646 * [backup-simplify]: Simplify 2 into 2 73.646 * [taylor]: Taking taylor expansion of PI in k 73.646 * [backup-simplify]: Simplify PI into PI 73.647 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.648 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.648 * [backup-simplify]: Simplify (+ 0 1) into 1 73.648 * [backup-simplify]: Simplify (- 0) into 0 73.649 * [backup-simplify]: Simplify (+ 1 0) into 1 73.650 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.651 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 73.652 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 73.653 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 73.654 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 73.655 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 73.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 73.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 73.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.659 * [backup-simplify]: Simplify (+ 0 0) into 0 73.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.662 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 73.664 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 73.666 * [backup-simplify]: Simplify (- 0) into 0 73.667 * [backup-simplify]: Simplify (+ 0 0) into 0 73.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 73.668 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 73.670 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.670 * [taylor]: Taking taylor expansion of 0 in k 73.670 * [backup-simplify]: Simplify 0 into 0 73.670 * [backup-simplify]: Simplify 0 into 0 73.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 73.672 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.680 * [backup-simplify]: Simplify (+ 0 0) into 0 73.681 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.682 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.684 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.684 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.687 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.691 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.695 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 73.699 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 73.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 73.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 73.704 * [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 73.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 73.706 * [backup-simplify]: Simplify (+ 0 0) into 0 73.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.708 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 73.711 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 73.716 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 73.716 * [backup-simplify]: Simplify (- 0) into 0 73.717 * [backup-simplify]: Simplify (+ 0 0) into 0 73.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 73.719 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 73.722 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.722 * [taylor]: Taking taylor expansion of 0 in k 73.722 * [backup-simplify]: Simplify 0 into 0 73.722 * [backup-simplify]: Simplify 0 into 0 73.722 * [backup-simplify]: Simplify 0 into 0 73.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 73.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 73.728 * [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 73.728 * [backup-simplify]: Simplify (+ 0 0) into 0 73.731 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.732 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.733 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.736 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.736 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.740 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.744 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.748 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 73.752 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 73.761 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 73.762 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 73.762 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 73.762 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 73.762 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 73.762 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 73.762 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 73.762 * [taylor]: Taking taylor expansion of 1/2 in k 73.762 * [backup-simplify]: Simplify 1/2 into 1/2 73.762 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 73.762 * [taylor]: Taking taylor expansion of 1 in k 73.762 * [backup-simplify]: Simplify 1 into 1 73.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.762 * [taylor]: Taking taylor expansion of k in k 73.762 * [backup-simplify]: Simplify 0 into 0 73.762 * [backup-simplify]: Simplify 1 into 1 73.762 * [backup-simplify]: Simplify (/ 1 1) into 1 73.762 * [backup-simplify]: Simplify (sqrt 0) into 0 73.763 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.763 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 73.763 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 73.763 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 73.763 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 73.763 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 73.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.763 * [taylor]: Taking taylor expansion of k in k 73.764 * [backup-simplify]: Simplify 0 into 0 73.764 * [backup-simplify]: Simplify 1 into 1 73.764 * [backup-simplify]: Simplify (/ 1 1) into 1 73.764 * [backup-simplify]: Simplify (sqrt 0) into 0 73.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.765 * [taylor]: Taking taylor expansion of 1 in k 73.765 * [backup-simplify]: Simplify 1 into 1 73.765 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 73.765 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 73.765 * [taylor]: Taking taylor expansion of 2 in k 73.765 * [backup-simplify]: Simplify 2 into 2 73.765 * [taylor]: Taking taylor expansion of (/ PI n) in k 73.765 * [taylor]: Taking taylor expansion of PI in k 73.765 * [backup-simplify]: Simplify PI into PI 73.765 * [taylor]: Taking taylor expansion of n in k 73.765 * [backup-simplify]: Simplify n into n 73.765 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 73.765 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 73.765 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 73.765 * [backup-simplify]: Simplify (+ 0 0) into 0 73.765 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 73.766 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 73.766 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 73.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 73.767 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.768 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.768 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 73.768 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.769 * [backup-simplify]: Simplify (- 0) into 0 73.769 * [backup-simplify]: Simplify (+ 0 0) into 0 73.770 * [backup-simplify]: Simplify (* 1/2 0) into 0 73.770 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 73.770 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 73.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 73.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.777 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.777 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.779 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 73.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 73.780 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.781 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 73.783 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 73.783 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.784 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 73.784 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 73.784 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 73.784 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 73.784 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 73.784 * [taylor]: Taking taylor expansion of 1/2 in n 73.784 * [backup-simplify]: Simplify 1/2 into 1/2 73.784 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 73.784 * [taylor]: Taking taylor expansion of 1 in n 73.784 * [backup-simplify]: Simplify 1 into 1 73.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.784 * [taylor]: Taking taylor expansion of k in n 73.784 * [backup-simplify]: Simplify k into k 73.784 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.784 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.784 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 73.784 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 73.784 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 73.784 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 73.784 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 73.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.785 * [taylor]: Taking taylor expansion of k in n 73.785 * [backup-simplify]: Simplify k into k 73.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.785 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.785 * [taylor]: Taking taylor expansion of 1 in n 73.785 * [backup-simplify]: Simplify 1 into 1 73.785 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.785 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.785 * [taylor]: Taking taylor expansion of 2 in n 73.785 * [backup-simplify]: Simplify 2 into 2 73.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.785 * [taylor]: Taking taylor expansion of PI in n 73.785 * [backup-simplify]: Simplify PI into PI 73.785 * [taylor]: Taking taylor expansion of n in n 73.785 * [backup-simplify]: Simplify 0 into 0 73.785 * [backup-simplify]: Simplify 1 into 1 73.786 * [backup-simplify]: Simplify (/ PI 1) into PI 73.786 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.787 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.787 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 73.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.790 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.791 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 73.792 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.792 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 73.792 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 73.792 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 73.794 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 73.802 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 73.802 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 73.802 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 73.802 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 73.802 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 73.802 * [taylor]: Taking taylor expansion of 1/2 in n 73.802 * [backup-simplify]: Simplify 1/2 into 1/2 73.802 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 73.802 * [taylor]: Taking taylor expansion of 1 in n 73.802 * [backup-simplify]: Simplify 1 into 1 73.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.802 * [taylor]: Taking taylor expansion of k in n 73.802 * [backup-simplify]: Simplify k into k 73.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.802 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.802 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 73.803 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 73.803 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 73.803 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 73.803 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 73.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.803 * [taylor]: Taking taylor expansion of k in n 73.803 * [backup-simplify]: Simplify k into k 73.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.803 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.803 * [taylor]: Taking taylor expansion of 1 in n 73.803 * [backup-simplify]: Simplify 1 into 1 73.803 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.803 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.803 * [taylor]: Taking taylor expansion of 2 in n 73.803 * [backup-simplify]: Simplify 2 into 2 73.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.803 * [taylor]: Taking taylor expansion of PI in n 73.803 * [backup-simplify]: Simplify PI into PI 73.803 * [taylor]: Taking taylor expansion of n in n 73.803 * [backup-simplify]: Simplify 0 into 0 73.803 * [backup-simplify]: Simplify 1 into 1 73.804 * [backup-simplify]: Simplify (/ PI 1) into PI 73.804 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.805 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.806 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 73.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.808 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.809 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 73.810 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.810 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 73.811 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 73.811 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 73.812 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 73.813 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 73.813 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 73.813 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 73.813 * [taylor]: Taking taylor expansion of 1/2 in k 73.813 * [backup-simplify]: Simplify 1/2 into 1/2 73.813 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 73.813 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 73.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.813 * [taylor]: Taking taylor expansion of k in k 73.813 * [backup-simplify]: Simplify 0 into 0 73.813 * [backup-simplify]: Simplify 1 into 1 73.814 * [backup-simplify]: Simplify (/ 1 1) into 1 73.814 * [backup-simplify]: Simplify (sqrt 0) into 0 73.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.816 * [taylor]: Taking taylor expansion of 1 in k 73.816 * [backup-simplify]: Simplify 1 into 1 73.816 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 73.816 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 73.816 * [taylor]: Taking taylor expansion of 1 in k 73.816 * [backup-simplify]: Simplify 1 into 1 73.816 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.816 * [taylor]: Taking taylor expansion of k in k 73.816 * [backup-simplify]: Simplify 0 into 0 73.816 * [backup-simplify]: Simplify 1 into 1 73.817 * [backup-simplify]: Simplify (/ 1 1) into 1 73.817 * [backup-simplify]: Simplify (sqrt 0) into 0 73.818 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.818 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 73.818 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 73.818 * [taylor]: Taking taylor expansion of (* 2 PI) in k 73.818 * [taylor]: Taking taylor expansion of 2 in k 73.818 * [backup-simplify]: Simplify 2 into 2 73.818 * [taylor]: Taking taylor expansion of PI in k 73.818 * [backup-simplify]: Simplify PI into PI 73.819 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.820 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.820 * [taylor]: Taking taylor expansion of (log n) in k 73.820 * [taylor]: Taking taylor expansion of n in k 73.820 * [backup-simplify]: Simplify n into n 73.820 * [backup-simplify]: Simplify (log n) into (log n) 73.820 * [backup-simplify]: Simplify (+ 0 0) into 0 73.821 * [backup-simplify]: Simplify (- 0) into 0 73.821 * [backup-simplify]: Simplify (+ 0 0) into 0 73.821 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 73.822 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 73.823 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 73.824 * [backup-simplify]: Simplify (* 0 0) into 0 73.824 * [backup-simplify]: Simplify (* 1/2 0) into 0 73.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 73.828 * [backup-simplify]: Simplify (- 0) into 0 73.828 * [backup-simplify]: Simplify (+ 0 0) into 0 73.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.830 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 73.831 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.832 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.835 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 73.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 73.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 73.841 * [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 73.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 73.843 * [backup-simplify]: Simplify (- 0) into 0 73.843 * [backup-simplify]: Simplify (+ 0 0) into 0 73.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.847 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.847 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.848 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.854 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.855 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.860 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.863 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.866 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.868 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 73.870 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.872 * [backup-simplify]: Simplify (+ 0 0) into 0 73.874 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.875 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 73.877 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 73.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 73.879 * [backup-simplify]: Simplify (- 0) into 0 73.880 * [backup-simplify]: Simplify (+ 0 0) into 0 73.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 73.881 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 73.883 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.883 * [taylor]: Taking taylor expansion of 0 in k 73.883 * [backup-simplify]: Simplify 0 into 0 73.883 * [backup-simplify]: Simplify 0 into 0 73.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 73.890 * [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 73.893 * [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 73.893 * [backup-simplify]: Simplify (- 0) into 0 73.894 * [backup-simplify]: Simplify (+ 0 0) into 0 73.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.901 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.909 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.918 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.923 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.928 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 73.933 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 73.936 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 73.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 73.937 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 73.937 * [backup-simplify]: Simplify (+ 0 0) into 0 73.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.944 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 73.945 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 73.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 73.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 73.948 * [backup-simplify]: Simplify (- 0) into 0 73.949 * [backup-simplify]: Simplify (+ 0 0) into 0 73.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 73.950 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 73.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.952 * [taylor]: Taking taylor expansion of 0 in k 73.952 * [backup-simplify]: Simplify 0 into 0 73.952 * [backup-simplify]: Simplify 0 into 0 73.952 * [backup-simplify]: Simplify 0 into 0 73.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 73.959 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 73.963 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 73.963 * [backup-simplify]: Simplify (- 0) into 0 73.964 * [backup-simplify]: Simplify (+ 0 0) into 0 73.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.970 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.970 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.971 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.979 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.979 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.986 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 73.989 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.994 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 73.999 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.015 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 74.016 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 74.016 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 74.016 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 74.016 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 74.016 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 74.016 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 74.016 * [taylor]: Taking taylor expansion of 1/2 in k 74.016 * [backup-simplify]: Simplify 1/2 into 1/2 74.016 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 74.016 * [taylor]: Taking taylor expansion of 1 in k 74.016 * [backup-simplify]: Simplify 1 into 1 74.016 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 74.016 * [taylor]: Taking taylor expansion of (/ -1 k) in k 74.016 * [taylor]: Taking taylor expansion of -1 in k 74.016 * [backup-simplify]: Simplify -1 into -1 74.016 * [taylor]: Taking taylor expansion of k in k 74.017 * [backup-simplify]: Simplify 0 into 0 74.017 * [backup-simplify]: Simplify 1 into 1 74.017 * [backup-simplify]: Simplify (/ -1 1) into -1 74.018 * [backup-simplify]: Simplify (sqrt 0) into 0 74.019 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 74.019 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 74.019 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 74.019 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 74.019 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 74.019 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 74.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 74.019 * [taylor]: Taking taylor expansion of (/ -1 k) in k 74.019 * [taylor]: Taking taylor expansion of -1 in k 74.019 * [backup-simplify]: Simplify -1 into -1 74.019 * [taylor]: Taking taylor expansion of k in k 74.019 * [backup-simplify]: Simplify 0 into 0 74.019 * [backup-simplify]: Simplify 1 into 1 74.020 * [backup-simplify]: Simplify (/ -1 1) into -1 74.020 * [backup-simplify]: Simplify (sqrt 0) into 0 74.021 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 74.021 * [taylor]: Taking taylor expansion of 1 in k 74.022 * [backup-simplify]: Simplify 1 into 1 74.022 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 74.022 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 74.022 * [taylor]: Taking taylor expansion of -2 in k 74.022 * [backup-simplify]: Simplify -2 into -2 74.022 * [taylor]: Taking taylor expansion of (/ PI n) in k 74.022 * [taylor]: Taking taylor expansion of PI in k 74.022 * [backup-simplify]: Simplify PI into PI 74.022 * [taylor]: Taking taylor expansion of n in k 74.022 * [backup-simplify]: Simplify n into n 74.022 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 74.022 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 74.022 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 74.022 * [backup-simplify]: Simplify (+ 0 0) into 0 74.023 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 74.023 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 74.023 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 74.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 74.025 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 74.026 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 74.026 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 74.026 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 74.026 * [backup-simplify]: Simplify (- 0) into 0 74.027 * [backup-simplify]: Simplify (+ 0 0) into 0 74.027 * [backup-simplify]: Simplify (* 1/2 0) into 0 74.028 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 74.028 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 74.029 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 74.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 74.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 74.034 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.035 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 74.036 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 74.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 74.037 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.038 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 74.040 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 74.041 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 74.041 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 74.041 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 74.041 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 74.041 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 74.041 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 74.041 * [taylor]: Taking taylor expansion of 1/2 in n 74.041 * [backup-simplify]: Simplify 1/2 into 1/2 74.041 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 74.042 * [taylor]: Taking taylor expansion of 1 in n 74.042 * [backup-simplify]: Simplify 1 into 1 74.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 74.042 * [taylor]: Taking taylor expansion of (/ -1 k) in n 74.042 * [taylor]: Taking taylor expansion of -1 in n 74.042 * [backup-simplify]: Simplify -1 into -1 74.042 * [taylor]: Taking taylor expansion of k in n 74.042 * [backup-simplify]: Simplify k into k 74.042 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 74.042 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 74.042 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 74.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 74.042 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 74.042 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 74.042 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 74.042 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 74.042 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 74.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 74.042 * [taylor]: Taking taylor expansion of (/ -1 k) in n 74.042 * [taylor]: Taking taylor expansion of -1 in n 74.042 * [backup-simplify]: Simplify -1 into -1 74.042 * [taylor]: Taking taylor expansion of k in n 74.042 * [backup-simplify]: Simplify k into k 74.042 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 74.042 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 74.042 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 74.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 74.042 * [taylor]: Taking taylor expansion of 1 in n 74.042 * [backup-simplify]: Simplify 1 into 1 74.042 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 74.042 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 74.042 * [taylor]: Taking taylor expansion of -2 in n 74.042 * [backup-simplify]: Simplify -2 into -2 74.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.042 * [taylor]: Taking taylor expansion of PI in n 74.042 * [backup-simplify]: Simplify PI into PI 74.042 * [taylor]: Taking taylor expansion of n in n 74.042 * [backup-simplify]: Simplify 0 into 0 74.042 * [backup-simplify]: Simplify 1 into 1 74.043 * [backup-simplify]: Simplify (/ PI 1) into PI 74.043 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 74.048 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 74.048 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 74.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 74.050 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 74.051 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 74.052 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 74.052 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 74.052 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 74.052 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 74.053 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 74.053 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 74.053 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 74.053 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 74.053 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 74.053 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 74.053 * [taylor]: Taking taylor expansion of 1/2 in n 74.053 * [backup-simplify]: Simplify 1/2 into 1/2 74.053 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 74.053 * [taylor]: Taking taylor expansion of 1 in n 74.054 * [backup-simplify]: Simplify 1 into 1 74.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 74.054 * [taylor]: Taking taylor expansion of (/ -1 k) in n 74.054 * [taylor]: Taking taylor expansion of -1 in n 74.054 * [backup-simplify]: Simplify -1 into -1 74.054 * [taylor]: Taking taylor expansion of k in n 74.054 * [backup-simplify]: Simplify k into k 74.054 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 74.054 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 74.054 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 74.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 74.054 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 74.054 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 74.054 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 74.054 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 74.054 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 74.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 74.054 * [taylor]: Taking taylor expansion of (/ -1 k) in n 74.054 * [taylor]: Taking taylor expansion of -1 in n 74.054 * [backup-simplify]: Simplify -1 into -1 74.054 * [taylor]: Taking taylor expansion of k in n 74.054 * [backup-simplify]: Simplify k into k 74.054 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 74.054 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 74.054 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 74.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 74.054 * [taylor]: Taking taylor expansion of 1 in n 74.054 * [backup-simplify]: Simplify 1 into 1 74.054 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 74.054 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 74.054 * [taylor]: Taking taylor expansion of -2 in n 74.055 * [backup-simplify]: Simplify -2 into -2 74.055 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.055 * [taylor]: Taking taylor expansion of PI in n 74.055 * [backup-simplify]: Simplify PI into PI 74.055 * [taylor]: Taking taylor expansion of n in n 74.055 * [backup-simplify]: Simplify 0 into 0 74.055 * [backup-simplify]: Simplify 1 into 1 74.055 * [backup-simplify]: Simplify (/ PI 1) into PI 74.055 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 74.056 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 74.056 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 74.057 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 74.057 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 74.058 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 74.059 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 74.059 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 74.059 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 74.059 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 74.060 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 74.060 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 74.060 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 74.061 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 74.061 * [taylor]: Taking taylor expansion of 1/2 in k 74.061 * [backup-simplify]: Simplify 1/2 into 1/2 74.061 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 74.061 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 74.061 * [taylor]: Taking taylor expansion of 1 in k 74.061 * [backup-simplify]: Simplify 1 into 1 74.061 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 74.061 * [taylor]: Taking taylor expansion of (/ -1 k) in k 74.061 * [taylor]: Taking taylor expansion of -1 in k 74.061 * [backup-simplify]: Simplify -1 into -1 74.061 * [taylor]: Taking taylor expansion of k in k 74.061 * [backup-simplify]: Simplify 0 into 0 74.061 * [backup-simplify]: Simplify 1 into 1 74.061 * [backup-simplify]: Simplify (/ -1 1) into -1 74.061 * [backup-simplify]: Simplify (sqrt 0) into 0 74.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 74.062 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 74.062 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 74.062 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 74.062 * [taylor]: Taking taylor expansion of (* -2 PI) in k 74.062 * [taylor]: Taking taylor expansion of -2 in k 74.062 * [backup-simplify]: Simplify -2 into -2 74.062 * [taylor]: Taking taylor expansion of PI in k 74.062 * [backup-simplify]: Simplify PI into PI 74.063 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 74.063 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 74.063 * [taylor]: Taking taylor expansion of (log n) in k 74.063 * [taylor]: Taking taylor expansion of n in k 74.063 * [backup-simplify]: Simplify n into n 74.063 * [backup-simplify]: Simplify (log n) into (log n) 74.063 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 74.063 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 74.063 * [taylor]: Taking taylor expansion of (/ -1 k) in k 74.063 * [taylor]: Taking taylor expansion of -1 in k 74.063 * [backup-simplify]: Simplify -1 into -1 74.063 * [taylor]: Taking taylor expansion of k in k 74.063 * [backup-simplify]: Simplify 0 into 0 74.063 * [backup-simplify]: Simplify 1 into 1 74.064 * [backup-simplify]: Simplify (/ -1 1) into -1 74.064 * [backup-simplify]: Simplify (sqrt 0) into 0 74.065 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 74.065 * [taylor]: Taking taylor expansion of 1 in k 74.065 * [backup-simplify]: Simplify 1 into 1 74.065 * [backup-simplify]: Simplify (- 0) into 0 74.065 * [backup-simplify]: Simplify (+ 0 0) into 0 74.065 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 74.066 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 74.066 * [backup-simplify]: Simplify (+ 0 0) into 0 74.067 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 74.067 * [backup-simplify]: Simplify (* 0 0) into 0 74.068 * [backup-simplify]: Simplify (* 1/2 0) into 0 74.068 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 74.068 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 74.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 74.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 74.070 * [backup-simplify]: Simplify (- 0) into 0 74.071 * [backup-simplify]: Simplify (+ 0 0) into 0 74.072 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.072 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.073 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 74.075 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 74.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 74.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 74.080 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.080 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.081 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 74.085 * [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 74.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 74.087 * [backup-simplify]: Simplify (- 0) into 0 74.088 * [backup-simplify]: Simplify (+ 0 0) into 0 74.090 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 74.094 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.095 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.096 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.102 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 74.103 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.105 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 74.107 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 74.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 74.108 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 74.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 74.109 * [backup-simplify]: Simplify (+ 0 0) into 0 74.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 74.111 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 74.112 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 74.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 74.113 * [backup-simplify]: Simplify (- 0) into 0 74.114 * [backup-simplify]: Simplify (+ 0 0) into 0 74.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 74.115 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 74.116 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 74.116 * [taylor]: Taking taylor expansion of 0 in k 74.116 * [backup-simplify]: Simplify 0 into 0 74.116 * [backup-simplify]: Simplify 0 into 0 74.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.119 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.120 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 74.123 * [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 74.125 * [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 74.125 * [backup-simplify]: Simplify (- 0) into 0 74.125 * [backup-simplify]: Simplify (+ 0 0) into 0 74.127 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.130 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.131 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.136 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 74.139 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.142 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 74.150 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.152 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 74.154 * [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 74.154 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 74.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 74.154 * [backup-simplify]: Simplify (+ 0 0) into 0 74.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 74.156 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 74.158 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 74.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 74.162 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 74.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 74.162 * [backup-simplify]: Simplify (- 0) into 0 74.163 * [backup-simplify]: Simplify (+ 0 0) into 0 74.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 74.164 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 74.166 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 74.166 * [taylor]: Taking taylor expansion of 0 in k 74.166 * [backup-simplify]: Simplify 0 into 0 74.166 * [backup-simplify]: Simplify 0 into 0 74.166 * [backup-simplify]: Simplify 0 into 0 74.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.169 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.170 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.170 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 74.177 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 74.180 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 74.180 * [backup-simplify]: Simplify (- 0) into 0 74.181 * [backup-simplify]: Simplify (+ 0 0) into 0 74.183 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.186 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.186 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.187 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.194 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 74.198 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 74.206 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 74.215 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 74.234 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 74.234 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 74.235 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 74.235 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 74.235 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 74.235 * [taylor]: Taking taylor expansion of 2 in n 74.235 * [backup-simplify]: Simplify 2 into 2 74.235 * [taylor]: Taking taylor expansion of (* n PI) in n 74.235 * [taylor]: Taking taylor expansion of n in n 74.235 * [backup-simplify]: Simplify 0 into 0 74.235 * [backup-simplify]: Simplify 1 into 1 74.235 * [taylor]: Taking taylor expansion of PI in n 74.235 * [backup-simplify]: Simplify PI into PI 74.235 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 74.235 * [taylor]: Taking taylor expansion of 2 in n 74.235 * [backup-simplify]: Simplify 2 into 2 74.235 * [taylor]: Taking taylor expansion of (* n PI) in n 74.236 * [taylor]: Taking taylor expansion of n in n 74.236 * [backup-simplify]: Simplify 0 into 0 74.236 * [backup-simplify]: Simplify 1 into 1 74.236 * [taylor]: Taking taylor expansion of PI in n 74.236 * [backup-simplify]: Simplify PI into PI 74.236 * [backup-simplify]: Simplify (* 0 PI) into 0 74.237 * [backup-simplify]: Simplify (* 2 0) into 0 74.237 * [backup-simplify]: Simplify 0 into 0 74.238 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 74.240 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 74.240 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 74.242 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 74.242 * [backup-simplify]: Simplify 0 into 0 74.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 74.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 74.244 * [backup-simplify]: Simplify 0 into 0 74.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 74.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 74.247 * [backup-simplify]: Simplify 0 into 0 74.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 74.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 74.250 * [backup-simplify]: Simplify 0 into 0 74.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 74.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 74.253 * [backup-simplify]: Simplify 0 into 0 74.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 74.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 74.263 * [backup-simplify]: Simplify 0 into 0 74.264 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 74.265 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 74.265 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 74.265 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.265 * [taylor]: Taking taylor expansion of 2 in n 74.265 * [backup-simplify]: Simplify 2 into 2 74.265 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.265 * [taylor]: Taking taylor expansion of PI in n 74.265 * [backup-simplify]: Simplify PI into PI 74.265 * [taylor]: Taking taylor expansion of n in n 74.265 * [backup-simplify]: Simplify 0 into 0 74.265 * [backup-simplify]: Simplify 1 into 1 74.265 * [backup-simplify]: Simplify (/ PI 1) into PI 74.265 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.265 * [taylor]: Taking taylor expansion of 2 in n 74.266 * [backup-simplify]: Simplify 2 into 2 74.266 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.266 * [taylor]: Taking taylor expansion of PI in n 74.266 * [backup-simplify]: Simplify PI into PI 74.266 * [taylor]: Taking taylor expansion of n in n 74.266 * [backup-simplify]: Simplify 0 into 0 74.266 * [backup-simplify]: Simplify 1 into 1 74.266 * [backup-simplify]: Simplify (/ PI 1) into PI 74.267 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.267 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 74.269 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 74.269 * [backup-simplify]: Simplify 0 into 0 74.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 74.271 * [backup-simplify]: Simplify 0 into 0 74.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 74.273 * [backup-simplify]: Simplify 0 into 0 74.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 74.275 * [backup-simplify]: Simplify 0 into 0 74.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 74.279 * [backup-simplify]: Simplify 0 into 0 74.280 * [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 74.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 74.282 * [backup-simplify]: Simplify 0 into 0 74.282 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 74.283 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 74.283 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 74.283 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 74.283 * [taylor]: Taking taylor expansion of -2 in n 74.283 * [backup-simplify]: Simplify -2 into -2 74.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.283 * [taylor]: Taking taylor expansion of PI in n 74.283 * [backup-simplify]: Simplify PI into PI 74.283 * [taylor]: Taking taylor expansion of n in n 74.283 * [backup-simplify]: Simplify 0 into 0 74.283 * [backup-simplify]: Simplify 1 into 1 74.284 * [backup-simplify]: Simplify (/ PI 1) into PI 74.284 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 74.284 * [taylor]: Taking taylor expansion of -2 in n 74.284 * [backup-simplify]: Simplify -2 into -2 74.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.284 * [taylor]: Taking taylor expansion of PI in n 74.284 * [backup-simplify]: Simplify PI into PI 74.284 * [taylor]: Taking taylor expansion of n in n 74.284 * [backup-simplify]: Simplify 0 into 0 74.284 * [backup-simplify]: Simplify 1 into 1 74.284 * [backup-simplify]: Simplify (/ PI 1) into PI 74.285 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 74.285 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 74.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 74.287 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 74.287 * [backup-simplify]: Simplify 0 into 0 74.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.289 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 74.289 * [backup-simplify]: Simplify 0 into 0 74.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.291 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 74.291 * [backup-simplify]: Simplify 0 into 0 74.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.294 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 74.294 * [backup-simplify]: Simplify 0 into 0 74.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.296 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 74.296 * [backup-simplify]: Simplify 0 into 0 74.297 * [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 74.299 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 74.299 * [backup-simplify]: Simplify 0 into 0 74.300 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 74.300 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 74.301 * [backup-simplify]: Simplify (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) into (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) 74.301 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in (k n) around 0 74.301 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in n 74.301 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in n 74.301 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 74.301 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 74.301 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 74.301 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 74.301 * [taylor]: Taking taylor expansion of 1/2 in n 74.301 * [backup-simplify]: Simplify 1/2 into 1/2 74.301 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 74.301 * [taylor]: Taking taylor expansion of 1 in n 74.301 * [backup-simplify]: Simplify 1 into 1 74.301 * [taylor]: Taking taylor expansion of (sqrt k) in n 74.301 * [taylor]: Taking taylor expansion of k in n 74.301 * [backup-simplify]: Simplify k into k 74.301 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 74.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 74.301 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 74.301 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 74.301 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 74.301 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 74.301 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 74.301 * [taylor]: Taking taylor expansion of (sqrt k) in n 74.301 * [taylor]: Taking taylor expansion of k in n 74.301 * [backup-simplify]: Simplify k into k 74.301 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 74.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 74.301 * [taylor]: Taking taylor expansion of 1 in n 74.301 * [backup-simplify]: Simplify 1 into 1 74.302 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 74.302 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 74.302 * [taylor]: Taking taylor expansion of 2 in n 74.302 * [backup-simplify]: Simplify 2 into 2 74.302 * [taylor]: Taking taylor expansion of (* n PI) in n 74.302 * [taylor]: Taking taylor expansion of n in n 74.302 * [backup-simplify]: Simplify 0 into 0 74.302 * [backup-simplify]: Simplify 1 into 1 74.302 * [taylor]: Taking taylor expansion of PI in n 74.302 * [backup-simplify]: Simplify PI into PI 74.302 * [backup-simplify]: Simplify (* 0 PI) into 0 74.303 * [backup-simplify]: Simplify (* 2 0) into 0 74.304 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 74.306 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 74.307 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.307 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 74.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 74.309 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 74.310 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 74.311 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 74.311 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 74.312 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 74.312 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 74.313 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 74.314 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 74.315 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))))) into (/ 1 (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))))) 74.315 * [taylor]: Taking taylor expansion of (sqrt k) in n 74.315 * [taylor]: Taking taylor expansion of k in n 74.315 * [backup-simplify]: Simplify k into k 74.315 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 74.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 74.315 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in k 74.315 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in k 74.315 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 74.315 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 74.315 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 74.315 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 74.315 * [taylor]: Taking taylor expansion of 1/2 in k 74.315 * [backup-simplify]: Simplify 1/2 into 1/2 74.315 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 74.315 * [taylor]: Taking taylor expansion of 1 in k 74.316 * [backup-simplify]: Simplify 1 into 1 74.316 * [taylor]: Taking taylor expansion of (sqrt k) in k 74.316 * [taylor]: Taking taylor expansion of k in k 74.316 * [backup-simplify]: Simplify 0 into 0 74.316 * [backup-simplify]: Simplify 1 into 1 74.316 * [backup-simplify]: Simplify (sqrt 0) into 0 74.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.318 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 74.318 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 74.318 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 74.318 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 74.318 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 74.318 * [taylor]: Taking taylor expansion of (sqrt k) in k 74.318 * [taylor]: Taking taylor expansion of k in k 74.318 * [backup-simplify]: Simplify 0 into 0 74.318 * [backup-simplify]: Simplify 1 into 1 74.318 * [backup-simplify]: Simplify (sqrt 0) into 0 74.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.319 * [taylor]: Taking taylor expansion of 1 in k 74.320 * [backup-simplify]: Simplify 1 into 1 74.320 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 74.320 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 74.320 * [taylor]: Taking taylor expansion of 2 in k 74.320 * [backup-simplify]: Simplify 2 into 2 74.320 * [taylor]: Taking taylor expansion of (* n PI) in k 74.320 * [taylor]: Taking taylor expansion of n in k 74.320 * [backup-simplify]: Simplify n into n 74.320 * [taylor]: Taking taylor expansion of PI in k 74.320 * [backup-simplify]: Simplify PI into PI 74.320 * [backup-simplify]: Simplify (* n PI) into (* n PI) 74.320 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 74.320 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 74.320 * [backup-simplify]: Simplify (+ 0 1) into 1 74.320 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 74.321 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 74.321 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 74.321 * [backup-simplify]: Simplify (- 0) into 0 74.321 * [backup-simplify]: Simplify (+ 1 0) into 1 74.322 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 74.322 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 74.322 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 74.322 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 74.322 * [taylor]: Taking taylor expansion of (sqrt k) in k 74.322 * [taylor]: Taking taylor expansion of k in k 74.322 * [backup-simplify]: Simplify 0 into 0 74.322 * [backup-simplify]: Simplify 1 into 1 74.323 * [backup-simplify]: Simplify (sqrt 0) into 0 74.324 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.324 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in k 74.324 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in k 74.324 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 74.324 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 74.324 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 74.324 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 74.324 * [taylor]: Taking taylor expansion of 1/2 in k 74.324 * [backup-simplify]: Simplify 1/2 into 1/2 74.324 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 74.324 * [taylor]: Taking taylor expansion of 1 in k 74.324 * [backup-simplify]: Simplify 1 into 1 74.324 * [taylor]: Taking taylor expansion of (sqrt k) in k 74.324 * [taylor]: Taking taylor expansion of k in k 74.324 * [backup-simplify]: Simplify 0 into 0 74.324 * [backup-simplify]: Simplify 1 into 1 74.325 * [backup-simplify]: Simplify (sqrt 0) into 0 74.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.326 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 74.326 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 74.326 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 74.326 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 74.326 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 74.326 * [taylor]: Taking taylor expansion of (sqrt k) in k 74.326 * [taylor]: Taking taylor expansion of k in k 74.326 * [backup-simplify]: Simplify 0 into 0 74.326 * [backup-simplify]: Simplify 1 into 1 74.327 * [backup-simplify]: Simplify (sqrt 0) into 0 74.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.328 * [taylor]: Taking taylor expansion of 1 in k 74.328 * [backup-simplify]: Simplify 1 into 1 74.328 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 74.328 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 74.328 * [taylor]: Taking taylor expansion of 2 in k 74.328 * [backup-simplify]: Simplify 2 into 2 74.328 * [taylor]: Taking taylor expansion of (* n PI) in k 74.328 * [taylor]: Taking taylor expansion of n in k 74.328 * [backup-simplify]: Simplify n into n 74.328 * [taylor]: Taking taylor expansion of PI in k 74.328 * [backup-simplify]: Simplify PI into PI 74.328 * [backup-simplify]: Simplify (* n PI) into (* n PI) 74.328 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 74.328 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 74.329 * [backup-simplify]: Simplify (+ 0 1) into 1 74.329 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 74.329 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 74.329 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 74.329 * [backup-simplify]: Simplify (- 0) into 0 74.330 * [backup-simplify]: Simplify (+ 1 0) into 1 74.330 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 74.330 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 74.330 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 74.331 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 74.331 * [taylor]: Taking taylor expansion of (sqrt k) in k 74.331 * [taylor]: Taking taylor expansion of k in k 74.331 * [backup-simplify]: Simplify 0 into 0 74.331 * [backup-simplify]: Simplify 1 into 1 74.331 * [backup-simplify]: Simplify (sqrt 0) into 0 74.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.333 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 74.333 * [taylor]: Taking taylor expansion of 0 in n 74.333 * [backup-simplify]: Simplify 0 into 0 74.333 * [backup-simplify]: Simplify 0 into 0 74.333 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 74.334 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 74.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 74.335 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.336 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (log (* 2 (* n PI))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 74.336 * [backup-simplify]: Simplify (* (exp (log (* 2 (* n PI)))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* +nan.0 (* (log (* 2 (* n PI))) (* n PI))) 74.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* 2 (* n PI))) (* n PI)))) 1)) (pow (* 2 (* n PI)) 1)))) 1) into (* +nan.0 (log (* 2 (* n PI)))) 74.337 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.338 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.340 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 1)) into (- +nan.0) 74.341 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (log (* 2 (* n PI))))) (* (- +nan.0) (log (* 2 (* n PI))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 74.341 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 74.342 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 74.344 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 74.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 74.344 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 74.344 * [taylor]: Taking taylor expansion of +nan.0 in n 74.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.344 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 74.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 74.344 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 74.344 * [taylor]: Taking taylor expansion of (* n PI) in n 74.344 * [taylor]: Taking taylor expansion of n in n 74.344 * [backup-simplify]: Simplify 0 into 0 74.344 * [backup-simplify]: Simplify 1 into 1 74.344 * [taylor]: Taking taylor expansion of PI in n 74.344 * [backup-simplify]: Simplify PI into PI 74.344 * [backup-simplify]: Simplify (* 0 PI) into 0 74.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 74.346 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 74.346 * [backup-simplify]: Simplify (sqrt 0) into 0 74.348 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 74.348 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 74.348 * [taylor]: Taking taylor expansion of 1/2 in n 74.348 * [backup-simplify]: Simplify 1/2 into 1/2 74.348 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 74.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 74.350 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 74.350 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 74.353 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 74.355 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 74.357 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 74.357 * [backup-simplify]: Simplify 0 into 0 74.359 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.359 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 74.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 74.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 74.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.363 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (* n PI)))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 74.364 * [backup-simplify]: Simplify (* (exp (log (* 2 (* n PI)))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* -2 (* (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))) (* n PI))) 74.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (log (* 2 (* n PI))) (* n PI)))) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -2 (* (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))) (* n PI)))) 1)) (pow (* 2 (* n PI)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 74.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.367 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.367 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.369 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1))) into (- +nan.0) 74.370 * [backup-simplify]: Simplify (+ (* 1/2 (* -1/2 (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (* n PI))))) (* (- +nan.0) (log (* 2 (* n PI)))))) into (- (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 74.370 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 1) 1)))) into (* -1 (* (sqrt (* PI (* n 2))) (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) 74.372 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1 (* (sqrt (* PI (* n 2))) (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) (pow (* 2 (* n PI)) 1/2))) (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) (/ (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))) 74.377 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) +nan.0) (* (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 74.377 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 74.377 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 74.377 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 74.377 * [taylor]: Taking taylor expansion of +nan.0 in n 74.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.377 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 74.377 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 74.378 * [taylor]: Taking taylor expansion of (sqrt 2) in n 74.378 * [taylor]: Taking taylor expansion of 2 in n 74.378 * [backup-simplify]: Simplify 2 into 2 74.384 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 74.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 74.385 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 74.385 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 74.385 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 74.385 * [taylor]: Taking taylor expansion of 2 in n 74.385 * [backup-simplify]: Simplify 2 into 2 74.385 * [taylor]: Taking taylor expansion of (* n PI) in n 74.385 * [taylor]: Taking taylor expansion of n in n 74.385 * [backup-simplify]: Simplify 0 into 0 74.385 * [backup-simplify]: Simplify 1 into 1 74.386 * [taylor]: Taking taylor expansion of PI in n 74.386 * [backup-simplify]: Simplify PI into PI 74.387 * [backup-simplify]: Simplify (* 0 PI) into 0 74.387 * [backup-simplify]: Simplify (* 2 0) into 0 74.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 74.391 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 74.392 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.392 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 74.392 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 74.392 * [taylor]: Taking taylor expansion of 1/2 in n 74.392 * [backup-simplify]: Simplify 1/2 into 1/2 74.392 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 74.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 74.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 74.393 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 74.393 * [taylor]: Taking taylor expansion of (* n PI) in n 74.393 * [taylor]: Taking taylor expansion of n in n 74.393 * [backup-simplify]: Simplify 0 into 0 74.393 * [backup-simplify]: Simplify 1 into 1 74.393 * [taylor]: Taking taylor expansion of PI in n 74.393 * [backup-simplify]: Simplify PI into PI 74.394 * [backup-simplify]: Simplify (* 0 PI) into 0 74.396 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 74.396 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 74.396 * [backup-simplify]: Simplify (sqrt 0) into 0 74.398 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 74.399 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 74.399 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 74.399 * [taylor]: Taking taylor expansion of +nan.0 in n 74.399 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.399 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 74.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 74.399 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 74.399 * [taylor]: Taking taylor expansion of (* n PI) in n 74.399 * [taylor]: Taking taylor expansion of n in n 74.399 * [backup-simplify]: Simplify 0 into 0 74.399 * [backup-simplify]: Simplify 1 into 1 74.399 * [taylor]: Taking taylor expansion of PI in n 74.399 * [backup-simplify]: Simplify PI into PI 74.400 * [backup-simplify]: Simplify (* 0 PI) into 0 74.401 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 74.402 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 74.402 * [backup-simplify]: Simplify (sqrt 0) into 0 74.404 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 74.404 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 74.404 * [taylor]: Taking taylor expansion of 1/2 in n 74.404 * [backup-simplify]: Simplify 1/2 into 1/2 74.405 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 74.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 74.407 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 74.408 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 74.410 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 74.412 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 74.414 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 74.415 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 74.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 74.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 74.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 74.421 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 74.423 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 74.426 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 74.429 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 74.442 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 74.445 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 74.445 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 74.451 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 74.454 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 74.466 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 74.477 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 74.488 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 74.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 74.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 74.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 74.494 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 74.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 74.519 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 74.524 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 74.527 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 74.554 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 74.555 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2))) into (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) 74.555 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 74.555 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in n 74.556 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in n 74.556 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 74.556 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 74.556 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 74.556 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 74.556 * [taylor]: Taking taylor expansion of 1/2 in n 74.556 * [backup-simplify]: Simplify 1/2 into 1/2 74.556 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 74.556 * [taylor]: Taking taylor expansion of 1 in n 74.556 * [backup-simplify]: Simplify 1 into 1 74.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 74.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n 74.556 * [taylor]: Taking taylor expansion of k in n 74.556 * [backup-simplify]: Simplify k into k 74.556 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 74.556 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 74.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 74.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 74.556 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 74.556 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 74.556 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 74.556 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 74.556 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 74.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 74.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n 74.556 * [taylor]: Taking taylor expansion of k in n 74.557 * [backup-simplify]: Simplify k into k 74.557 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 74.557 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 74.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 74.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 74.557 * [taylor]: Taking taylor expansion of 1 in n 74.557 * [backup-simplify]: Simplify 1 into 1 74.557 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.557 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.557 * [taylor]: Taking taylor expansion of 2 in n 74.557 * [backup-simplify]: Simplify 2 into 2 74.557 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.557 * [taylor]: Taking taylor expansion of PI in n 74.557 * [backup-simplify]: Simplify PI into PI 74.557 * [taylor]: Taking taylor expansion of n in n 74.557 * [backup-simplify]: Simplify 0 into 0 74.557 * [backup-simplify]: Simplify 1 into 1 74.558 * [backup-simplify]: Simplify (/ PI 1) into PI 74.558 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.559 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.559 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 74.561 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.562 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 74.563 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 74.564 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 74.564 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 74.564 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 74.564 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 74.565 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 74.567 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 74.568 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (/ 1 (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 74.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 74.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 74.568 * [taylor]: Taking taylor expansion of k in n 74.568 * [backup-simplify]: Simplify k into k 74.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 74.568 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 74.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 74.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 74.568 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in k 74.568 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in k 74.568 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 74.569 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 74.569 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 74.569 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 74.569 * [taylor]: Taking taylor expansion of 1/2 in k 74.569 * [backup-simplify]: Simplify 1/2 into 1/2 74.569 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 74.569 * [taylor]: Taking taylor expansion of 1 in k 74.569 * [backup-simplify]: Simplify 1 into 1 74.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 74.569 * [taylor]: Taking taylor expansion of (/ 1 k) in k 74.569 * [taylor]: Taking taylor expansion of k in k 74.569 * [backup-simplify]: Simplify 0 into 0 74.569 * [backup-simplify]: Simplify 1 into 1 74.569 * [backup-simplify]: Simplify (/ 1 1) into 1 74.570 * [backup-simplify]: Simplify (sqrt 0) into 0 74.571 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.571 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 74.571 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 74.571 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 74.571 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 74.571 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 74.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 74.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k 74.571 * [taylor]: Taking taylor expansion of k in k 74.571 * [backup-simplify]: Simplify 0 into 0 74.571 * [backup-simplify]: Simplify 1 into 1 74.572 * [backup-simplify]: Simplify (/ 1 1) into 1 74.572 * [backup-simplify]: Simplify (sqrt 0) into 0 74.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.573 * [taylor]: Taking taylor expansion of 1 in k 74.573 * [backup-simplify]: Simplify 1 into 1 74.573 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 74.574 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 74.574 * [taylor]: Taking taylor expansion of 2 in k 74.574 * [backup-simplify]: Simplify 2 into 2 74.574 * [taylor]: Taking taylor expansion of (/ PI n) in k 74.574 * [taylor]: Taking taylor expansion of PI in k 74.574 * [backup-simplify]: Simplify PI into PI 74.574 * [taylor]: Taking taylor expansion of n in k 74.574 * [backup-simplify]: Simplify n into n 74.574 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 74.574 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 74.574 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 74.574 * [backup-simplify]: Simplify (+ 0 0) into 0 74.575 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 74.575 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 74.575 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 74.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 74.576 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 74.577 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.577 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 74.578 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.578 * [backup-simplify]: Simplify (- 0) into 0 74.578 * [backup-simplify]: Simplify (+ 0 0) into 0 74.579 * [backup-simplify]: Simplify (* 1/2 0) into 0 74.579 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 74.579 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 74.580 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 74.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 74.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 74.586 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.586 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.587 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 74.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 74.588 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.588 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 74.590 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 74.590 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.590 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 74.590 * [backup-simplify]: Simplify (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 74.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 74.590 * [taylor]: Taking taylor expansion of (/ 1 k) in k 74.590 * [taylor]: Taking taylor expansion of k in k 74.590 * [backup-simplify]: Simplify 0 into 0 74.590 * [backup-simplify]: Simplify 1 into 1 74.591 * [backup-simplify]: Simplify (/ 1 1) into 1 74.591 * [backup-simplify]: Simplify (sqrt 0) into 0 74.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.592 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in k 74.592 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in k 74.592 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 74.592 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 74.592 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 74.592 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 74.592 * [taylor]: Taking taylor expansion of 1/2 in k 74.592 * [backup-simplify]: Simplify 1/2 into 1/2 74.592 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 74.592 * [taylor]: Taking taylor expansion of 1 in k 74.592 * [backup-simplify]: Simplify 1 into 1 74.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 74.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 74.592 * [taylor]: Taking taylor expansion of k in k 74.592 * [backup-simplify]: Simplify 0 into 0 74.592 * [backup-simplify]: Simplify 1 into 1 74.592 * [backup-simplify]: Simplify (/ 1 1) into 1 74.592 * [backup-simplify]: Simplify (sqrt 0) into 0 74.593 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.593 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 74.593 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 74.593 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 74.593 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 74.593 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 74.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 74.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 74.593 * [taylor]: Taking taylor expansion of k in k 74.593 * [backup-simplify]: Simplify 0 into 0 74.593 * [backup-simplify]: Simplify 1 into 1 74.594 * [backup-simplify]: Simplify (/ 1 1) into 1 74.594 * [backup-simplify]: Simplify (sqrt 0) into 0 74.595 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.595 * [taylor]: Taking taylor expansion of 1 in k 74.595 * [backup-simplify]: Simplify 1 into 1 74.595 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 74.595 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 74.595 * [taylor]: Taking taylor expansion of 2 in k 74.595 * [backup-simplify]: Simplify 2 into 2 74.595 * [taylor]: Taking taylor expansion of (/ PI n) in k 74.595 * [taylor]: Taking taylor expansion of PI in k 74.595 * [backup-simplify]: Simplify PI into PI 74.595 * [taylor]: Taking taylor expansion of n in k 74.595 * [backup-simplify]: Simplify n into n 74.595 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 74.595 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 74.595 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 74.595 * [backup-simplify]: Simplify (+ 0 0) into 0 74.595 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 74.595 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 74.596 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 74.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 74.597 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 74.597 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.597 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 74.597 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.598 * [backup-simplify]: Simplify (- 0) into 0 74.598 * [backup-simplify]: Simplify (+ 0 0) into 0 74.598 * [backup-simplify]: Simplify (* 1/2 0) into 0 74.598 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 74.598 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 74.599 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 74.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 74.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 74.602 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.603 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.604 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 74.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 74.604 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.605 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 74.606 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 74.606 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.606 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 74.607 * [backup-simplify]: Simplify (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 74.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 74.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 74.607 * [taylor]: Taking taylor expansion of k in k 74.607 * [backup-simplify]: Simplify 0 into 0 74.607 * [backup-simplify]: Simplify 1 into 1 74.607 * [backup-simplify]: Simplify (/ 1 1) into 1 74.607 * [backup-simplify]: Simplify (sqrt 0) into 0 74.608 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 74.608 * [backup-simplify]: Simplify (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 0) into 0 74.608 * [taylor]: Taking taylor expansion of 0 in n 74.608 * [backup-simplify]: Simplify 0 into 0 74.608 * [backup-simplify]: Simplify 0 into 0 74.608 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 74.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))) into 0 74.612 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ PI n)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 1)))) 6) into 0 74.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.617 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.620 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) 74.621 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 2)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 74.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 74.625 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.626 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.627 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.629 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 74.631 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n)))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.631 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 74.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 74.632 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 0)) into (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 74.632 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 74.632 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 74.632 * [taylor]: Taking taylor expansion of +nan.0 in n 74.632 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.632 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 74.632 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 74.632 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 74.632 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 74.632 * [taylor]: Taking taylor expansion of +nan.0 in n 74.632 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.633 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.633 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.633 * [taylor]: Taking taylor expansion of 2 in n 74.633 * [backup-simplify]: Simplify 2 into 2 74.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.633 * [taylor]: Taking taylor expansion of PI in n 74.633 * [backup-simplify]: Simplify PI into PI 74.633 * [taylor]: Taking taylor expansion of n in n 74.633 * [backup-simplify]: Simplify 0 into 0 74.633 * [backup-simplify]: Simplify 1 into 1 74.633 * [backup-simplify]: Simplify (/ PI 1) into PI 74.634 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.634 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.636 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 74.636 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.642 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.644 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 74.646 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.647 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.649 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) 74.651 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) 74.651 * [backup-simplify]: Simplify 0 into 0 74.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 74.653 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 74.654 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 74.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n)))))) into 0 74.658 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ PI n)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 (/ PI n)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 (/ PI n)) 1)))) 24) into 0 74.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.661 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.661 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.663 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) 74.665 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 3)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 74.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.668 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.669 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.671 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 74.672 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))))) into (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 74.673 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) 74.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 74.674 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (+ (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) +nan.0) (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 0))) into (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 74.674 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) in n 74.674 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) in n 74.674 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 74.674 * [taylor]: Taking taylor expansion of +nan.0 in n 74.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.674 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 74.674 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 74.674 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 74.674 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 74.674 * [taylor]: Taking taylor expansion of +nan.0 in n 74.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.674 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.675 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.675 * [taylor]: Taking taylor expansion of 2 in n 74.675 * [backup-simplify]: Simplify 2 into 2 74.675 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.675 * [taylor]: Taking taylor expansion of PI in n 74.675 * [backup-simplify]: Simplify PI into PI 74.675 * [taylor]: Taking taylor expansion of n in n 74.675 * [backup-simplify]: Simplify 0 into 0 74.675 * [backup-simplify]: Simplify 1 into 1 74.675 * [backup-simplify]: Simplify (/ PI 1) into PI 74.675 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.676 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.677 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.677 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 74.678 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.679 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.680 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 74.682 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 74.682 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 74.682 * [taylor]: Taking taylor expansion of +nan.0 in n 74.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.682 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 74.682 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.682 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.682 * [taylor]: Taking taylor expansion of 2 in n 74.682 * [backup-simplify]: Simplify 2 into 2 74.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.682 * [taylor]: Taking taylor expansion of PI in n 74.682 * [backup-simplify]: Simplify PI into PI 74.682 * [taylor]: Taking taylor expansion of n in n 74.682 * [backup-simplify]: Simplify 0 into 0 74.682 * [backup-simplify]: Simplify 1 into 1 74.682 * [backup-simplify]: Simplify (/ PI 1) into PI 74.683 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.683 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.683 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 74.683 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 74.683 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 74.683 * [taylor]: Taking taylor expansion of +nan.0 in n 74.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.683 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.683 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.683 * [taylor]: Taking taylor expansion of 2 in n 74.683 * [backup-simplify]: Simplify 2 into 2 74.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.683 * [taylor]: Taking taylor expansion of PI in n 74.683 * [backup-simplify]: Simplify PI into PI 74.684 * [taylor]: Taking taylor expansion of n in n 74.684 * [backup-simplify]: Simplify 0 into 0 74.684 * [backup-simplify]: Simplify 1 into 1 74.684 * [backup-simplify]: Simplify (/ PI 1) into PI 74.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.685 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.686 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 74.687 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.687 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.689 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 74.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.695 * [backup-simplify]: Simplify (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.698 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.702 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 74.705 * [backup-simplify]: Simplify (- (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))) 74.715 * [backup-simplify]: Simplify (+ (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 74.728 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 74.738 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 74.739 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 74.741 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 74.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 74.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.753 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 74.754 * [backup-simplify]: Simplify (- 0) into 0 74.756 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 74.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))) into 0 74.762 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into 0 74.762 * [backup-simplify]: Simplify (- 0) into 0 74.762 * [backup-simplify]: Simplify 0 into 0 74.762 * [backup-simplify]: Simplify 0 into 0 74.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.765 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 74.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))))) into 0 74.772 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 (/ PI n)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 (/ PI n)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 (/ PI n)) 1)))) 120) into 0 74.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.775 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 74.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n))))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 74.778 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 4) 24)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4)))))))))) 74.781 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 4)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 4))) (* 12 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 2) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 2)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* -4 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1) 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 24) into (* -1/24 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4))))))))) 74.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 74.785 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 74.785 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 74.786 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 74.789 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 74.793 * [backup-simplify]: Simplify (+ (* 0 (* -1/24 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4)))))))))) (+ (* (- +nan.0) (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 74.795 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) 74.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 3) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 74.802 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (+ (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) +nan.0) (+ (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) +nan.0) (* (- (+ (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 3) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 0)))) into (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 74.802 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) in n 74.802 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))))) in n 74.802 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 74.802 * [taylor]: Taking taylor expansion of +nan.0 in n 74.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.802 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 74.802 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 74.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 74.803 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 74.803 * [taylor]: Taking taylor expansion of +nan.0 in n 74.803 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.803 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.803 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.803 * [taylor]: Taking taylor expansion of 2 in n 74.803 * [backup-simplify]: Simplify 2 into 2 74.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.803 * [taylor]: Taking taylor expansion of PI in n 74.803 * [backup-simplify]: Simplify PI into PI 74.803 * [taylor]: Taking taylor expansion of n in n 74.803 * [backup-simplify]: Simplify 0 into 0 74.803 * [backup-simplify]: Simplify 1 into 1 74.804 * [backup-simplify]: Simplify (/ PI 1) into PI 74.804 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.805 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.808 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 74.809 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.810 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.812 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 74.815 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.815 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) in n 74.815 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) in n 74.815 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 74.815 * [taylor]: Taking taylor expansion of +nan.0 in n 74.815 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.815 * [taylor]: Taking taylor expansion of (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 74.815 * [taylor]: Taking taylor expansion of (pow (log (* 2 (/ PI n))) 2) in n 74.815 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.815 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.815 * [taylor]: Taking taylor expansion of 2 in n 74.815 * [backup-simplify]: Simplify 2 into 2 74.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.815 * [taylor]: Taking taylor expansion of PI in n 74.815 * [backup-simplify]: Simplify PI into PI 74.815 * [taylor]: Taking taylor expansion of n in n 74.815 * [backup-simplify]: Simplify 0 into 0 74.816 * [backup-simplify]: Simplify 1 into 1 74.816 * [backup-simplify]: Simplify (/ PI 1) into PI 74.816 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.817 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.819 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 74.819 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 74.819 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 74.819 * [taylor]: Taking taylor expansion of +nan.0 in n 74.819 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.819 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.819 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.819 * [taylor]: Taking taylor expansion of 2 in n 74.819 * [backup-simplify]: Simplify 2 into 2 74.819 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.819 * [taylor]: Taking taylor expansion of PI in n 74.819 * [backup-simplify]: Simplify PI into PI 74.819 * [taylor]: Taking taylor expansion of n in n 74.819 * [backup-simplify]: Simplify 0 into 0 74.819 * [backup-simplify]: Simplify 1 into 1 74.820 * [backup-simplify]: Simplify (/ PI 1) into PI 74.820 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.821 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.823 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.824 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 74.825 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.826 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.829 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 74.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.832 * [backup-simplify]: Simplify (* (- (log (* 2 PI)) (log n)) (- (log (* 2 PI)) (log n))) into (pow (- (log (* 2 PI)) (log n)) 2) 74.834 * [backup-simplify]: Simplify (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 74.834 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 74.834 * [taylor]: Taking taylor expansion of +nan.0 in n 74.834 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.834 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 74.834 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.834 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.834 * [taylor]: Taking taylor expansion of 2 in n 74.834 * [backup-simplify]: Simplify 2 into 2 74.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.834 * [taylor]: Taking taylor expansion of PI in n 74.834 * [backup-simplify]: Simplify PI into PI 74.834 * [taylor]: Taking taylor expansion of n in n 74.834 * [backup-simplify]: Simplify 0 into 0 74.834 * [backup-simplify]: Simplify 1 into 1 74.835 * [backup-simplify]: Simplify (/ PI 1) into PI 74.835 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.836 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.836 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 74.836 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 74.836 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 74.836 * [taylor]: Taking taylor expansion of +nan.0 in n 74.836 * [backup-simplify]: Simplify +nan.0 into +nan.0 74.836 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 74.836 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 74.836 * [taylor]: Taking taylor expansion of 2 in n 74.836 * [backup-simplify]: Simplify 2 into 2 74.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.836 * [taylor]: Taking taylor expansion of PI in n 74.836 * [backup-simplify]: Simplify PI into PI 74.836 * [taylor]: Taking taylor expansion of n in n 74.836 * [backup-simplify]: Simplify 0 into 0 74.836 * [backup-simplify]: Simplify 1 into 1 74.836 * [backup-simplify]: Simplify (/ PI 1) into PI 74.837 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 74.837 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 74.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.839 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 74.839 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.840 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 74.842 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 74.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 74.845 * [backup-simplify]: Simplify (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.847 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 74.850 * [backup-simplify]: Simplify (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 74.852 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 74.860 * [backup-simplify]: Simplify (- (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))) 74.866 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))) 74.881 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))) 74.902 * [backup-simplify]: Simplify (+ (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 74.924 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 74.946 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 74.970 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log (/ 1 n)) 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (log (* 2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (pow (log (/ 1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))))))))))))))))))))))) 74.977 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2))) into (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) 74.977 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in (k n) around 0 74.977 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in n 74.977 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 74.977 * [taylor]: Taking taylor expansion of (/ -1 k) in n 74.977 * [taylor]: Taking taylor expansion of -1 in n 74.977 * [backup-simplify]: Simplify -1 into -1 74.977 * [taylor]: Taking taylor expansion of k in n 74.977 * [backup-simplify]: Simplify k into k 74.977 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 74.977 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 74.977 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 74.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 74.978 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 74.978 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 74.978 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 74.978 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 74.978 * [taylor]: Taking taylor expansion of 1/2 in n 74.978 * [backup-simplify]: Simplify 1/2 into 1/2 74.978 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 74.978 * [taylor]: Taking taylor expansion of 1 in n 74.978 * [backup-simplify]: Simplify 1 into 1 74.978 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 74.978 * [taylor]: Taking taylor expansion of (/ -1 k) in n 74.978 * [taylor]: Taking taylor expansion of -1 in n 74.978 * [backup-simplify]: Simplify -1 into -1 74.978 * [taylor]: Taking taylor expansion of k in n 74.978 * [backup-simplify]: Simplify k into k 74.978 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 74.978 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 74.978 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 74.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 74.978 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 74.978 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 74.978 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 74.978 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 74.978 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 74.978 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 74.978 * [taylor]: Taking taylor expansion of (/ -1 k) in n 74.978 * [taylor]: Taking taylor expansion of -1 in n 74.978 * [backup-simplify]: Simplify -1 into -1 74.978 * [taylor]: Taking taylor expansion of k in n 74.978 * [backup-simplify]: Simplify k into k 74.978 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 74.978 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 74.978 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 74.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 74.978 * [taylor]: Taking taylor expansion of 1 in n 74.978 * [backup-simplify]: Simplify 1 into 1 74.978 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 74.978 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 74.978 * [taylor]: Taking taylor expansion of -2 in n 74.978 * [backup-simplify]: Simplify -2 into -2 74.978 * [taylor]: Taking taylor expansion of (/ PI n) in n 74.978 * [taylor]: Taking taylor expansion of PI in n 74.979 * [backup-simplify]: Simplify PI into PI 74.979 * [taylor]: Taking taylor expansion of n in n 74.979 * [backup-simplify]: Simplify 0 into 0 74.979 * [backup-simplify]: Simplify 1 into 1 74.979 * [backup-simplify]: Simplify (/ PI 1) into PI 74.979 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 74.980 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 74.980 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 74.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 74.982 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 74.982 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 74.983 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 74.983 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 74.983 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 74.983 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 74.984 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 74.985 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 74.986 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))))) 74.986 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in k 74.986 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 74.986 * [taylor]: Taking taylor expansion of (/ -1 k) in k 74.986 * [taylor]: Taking taylor expansion of -1 in k 74.986 * [backup-simplify]: Simplify -1 into -1 74.986 * [taylor]: Taking taylor expansion of k in k 74.986 * [backup-simplify]: Simplify 0 into 0 74.986 * [backup-simplify]: Simplify 1 into 1 74.986 * [backup-simplify]: Simplify (/ -1 1) into -1 74.987 * [backup-simplify]: Simplify (sqrt 0) into 0 74.988 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 74.988 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 74.988 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 74.988 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 74.988 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 74.988 * [taylor]: Taking taylor expansion of 1/2 in k 74.988 * [backup-simplify]: Simplify 1/2 into 1/2 74.988 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 74.988 * [taylor]: Taking taylor expansion of 1 in k 74.988 * [backup-simplify]: Simplify 1 into 1 74.988 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 74.988 * [taylor]: Taking taylor expansion of (/ -1 k) in k 74.989 * [taylor]: Taking taylor expansion of -1 in k 74.989 * [backup-simplify]: Simplify -1 into -1 74.989 * [taylor]: Taking taylor expansion of k in k 74.989 * [backup-simplify]: Simplify 0 into 0 74.989 * [backup-simplify]: Simplify 1 into 1 74.989 * [backup-simplify]: Simplify (/ -1 1) into -1 74.989 * [backup-simplify]: Simplify (sqrt 0) into 0 74.991 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 74.991 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 74.991 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 74.991 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 74.991 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 74.991 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 74.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 74.991 * [taylor]: Taking taylor expansion of (/ -1 k) in k 74.991 * [taylor]: Taking taylor expansion of -1 in k 74.991 * [backup-simplify]: Simplify -1 into -1 74.991 * [taylor]: Taking taylor expansion of k in k 74.991 * [backup-simplify]: Simplify 0 into 0 74.991 * [backup-simplify]: Simplify 1 into 1 74.992 * [backup-simplify]: Simplify (/ -1 1) into -1 74.992 * [backup-simplify]: Simplify (sqrt 0) into 0 74.993 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 74.993 * [taylor]: Taking taylor expansion of 1 in k 74.993 * [backup-simplify]: Simplify 1 into 1 74.993 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 74.993 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 74.994 * [taylor]: Taking taylor expansion of -2 in k 74.994 * [backup-simplify]: Simplify -2 into -2 74.994 * [taylor]: Taking taylor expansion of (/ PI n) in k 74.994 * [taylor]: Taking taylor expansion of PI in k 74.994 * [backup-simplify]: Simplify PI into PI 74.994 * [taylor]: Taking taylor expansion of n in k 74.994 * [backup-simplify]: Simplify n into n 74.994 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 74.994 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 74.994 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 74.994 * [backup-simplify]: Simplify (+ 0 0) into 0 74.994 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 74.995 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 74.995 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 74.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 74.996 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 74.997 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 74.997 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 74.997 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 74.998 * [backup-simplify]: Simplify (- 0) into 0 74.998 * [backup-simplify]: Simplify (+ 0 0) into 0 74.998 * [backup-simplify]: Simplify (* 1/2 0) into 0 74.998 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 74.999 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 74.999 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 75.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 75.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 75.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 75.003 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 75.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.004 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 75.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 75.005 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 75.005 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 75.006 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 75.007 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.007 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 75.007 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 75.007 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in k 75.007 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 75.007 * [taylor]: Taking taylor expansion of (/ -1 k) in k 75.007 * [taylor]: Taking taylor expansion of -1 in k 75.007 * [backup-simplify]: Simplify -1 into -1 75.007 * [taylor]: Taking taylor expansion of k in k 75.007 * [backup-simplify]: Simplify 0 into 0 75.007 * [backup-simplify]: Simplify 1 into 1 75.007 * [backup-simplify]: Simplify (/ -1 1) into -1 75.008 * [backup-simplify]: Simplify (sqrt 0) into 0 75.008 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 75.008 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 75.008 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 75.009 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 75.009 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 75.009 * [taylor]: Taking taylor expansion of 1/2 in k 75.009 * [backup-simplify]: Simplify 1/2 into 1/2 75.009 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 75.009 * [taylor]: Taking taylor expansion of 1 in k 75.009 * [backup-simplify]: Simplify 1 into 1 75.009 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 75.009 * [taylor]: Taking taylor expansion of (/ -1 k) in k 75.009 * [taylor]: Taking taylor expansion of -1 in k 75.009 * [backup-simplify]: Simplify -1 into -1 75.009 * [taylor]: Taking taylor expansion of k in k 75.009 * [backup-simplify]: Simplify 0 into 0 75.009 * [backup-simplify]: Simplify 1 into 1 75.009 * [backup-simplify]: Simplify (/ -1 1) into -1 75.009 * [backup-simplify]: Simplify (sqrt 0) into 0 75.010 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 75.010 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 75.010 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 75.010 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 75.010 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 75.010 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 75.010 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 75.010 * [taylor]: Taking taylor expansion of (/ -1 k) in k 75.010 * [taylor]: Taking taylor expansion of -1 in k 75.010 * [backup-simplify]: Simplify -1 into -1 75.010 * [taylor]: Taking taylor expansion of k in k 75.010 * [backup-simplify]: Simplify 0 into 0 75.010 * [backup-simplify]: Simplify 1 into 1 75.011 * [backup-simplify]: Simplify (/ -1 1) into -1 75.011 * [backup-simplify]: Simplify (sqrt 0) into 0 75.012 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 75.012 * [taylor]: Taking taylor expansion of 1 in k 75.012 * [backup-simplify]: Simplify 1 into 1 75.012 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 75.012 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 75.012 * [taylor]: Taking taylor expansion of -2 in k 75.012 * [backup-simplify]: Simplify -2 into -2 75.012 * [taylor]: Taking taylor expansion of (/ PI n) in k 75.012 * [taylor]: Taking taylor expansion of PI in k 75.012 * [backup-simplify]: Simplify PI into PI 75.012 * [taylor]: Taking taylor expansion of n in k 75.012 * [backup-simplify]: Simplify n into n 75.012 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 75.012 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 75.012 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 75.012 * [backup-simplify]: Simplify (+ 0 0) into 0 75.012 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 75.012 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 75.013 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 75.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 75.013 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 75.014 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.014 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 75.014 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.014 * [backup-simplify]: Simplify (- 0) into 0 75.015 * [backup-simplify]: Simplify (+ 0 0) into 0 75.015 * [backup-simplify]: Simplify (* 1/2 0) into 0 75.015 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 75.015 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 75.016 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 75.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 75.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 75.019 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 75.019 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 75.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.020 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 75.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 75.021 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 75.022 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 75.023 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 75.023 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.023 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 75.023 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 75.023 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 75.024 * [taylor]: Taking taylor expansion of +nan.0 in n 75.024 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.024 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 75.024 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 75.024 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 75.024 * [taylor]: Taking taylor expansion of +nan.0 in n 75.024 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.024 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.024 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.024 * [taylor]: Taking taylor expansion of -2 in n 75.024 * [backup-simplify]: Simplify -2 into -2 75.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.024 * [taylor]: Taking taylor expansion of PI in n 75.024 * [backup-simplify]: Simplify PI into PI 75.024 * [taylor]: Taking taylor expansion of n in n 75.024 * [backup-simplify]: Simplify 0 into 0 75.024 * [backup-simplify]: Simplify 1 into 1 75.024 * [backup-simplify]: Simplify (/ PI 1) into PI 75.024 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.025 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.026 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 75.027 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.028 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.029 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 75.032 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.035 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 75.039 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 75.040 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 75.041 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))) into 0 75.044 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (/ PI n)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (/ PI n)) 1)))) 6) into 0 75.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 75.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 75.050 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 75.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.052 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 75.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 2)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 75.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 75.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 75.059 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 75.060 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 75.062 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 75.064 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n)))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.064 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 75.065 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (/ (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) 75.065 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) in n 75.065 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) in n 75.065 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 75.065 * [taylor]: Taking taylor expansion of +nan.0 in n 75.065 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.065 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 75.065 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.065 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.065 * [taylor]: Taking taylor expansion of -2 in n 75.065 * [backup-simplify]: Simplify -2 into -2 75.065 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.066 * [taylor]: Taking taylor expansion of PI in n 75.066 * [backup-simplify]: Simplify PI into PI 75.066 * [taylor]: Taking taylor expansion of n in n 75.066 * [backup-simplify]: Simplify 0 into 0 75.066 * [backup-simplify]: Simplify 1 into 1 75.066 * [backup-simplify]: Simplify (/ PI 1) into PI 75.067 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.068 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.068 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 75.068 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 75.068 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 75.068 * [taylor]: Taking taylor expansion of +nan.0 in n 75.068 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.068 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.068 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.068 * [taylor]: Taking taylor expansion of -2 in n 75.068 * [backup-simplify]: Simplify -2 into -2 75.068 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.068 * [taylor]: Taking taylor expansion of PI in n 75.068 * [backup-simplify]: Simplify PI into PI 75.068 * [taylor]: Taking taylor expansion of n in n 75.068 * [backup-simplify]: Simplify 0 into 0 75.068 * [backup-simplify]: Simplify 1 into 1 75.069 * [backup-simplify]: Simplify (/ PI 1) into PI 75.069 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.070 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.072 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 75.074 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.075 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.078 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 75.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.080 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.084 * [backup-simplify]: Simplify (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.084 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) in n 75.084 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 75.084 * [taylor]: Taking taylor expansion of +nan.0 in n 75.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.084 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 75.085 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 75.085 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 75.085 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 75.085 * [taylor]: Taking taylor expansion of +nan.0 in n 75.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.085 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.085 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.085 * [taylor]: Taking taylor expansion of -2 in n 75.085 * [backup-simplify]: Simplify -2 into -2 75.085 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.085 * [taylor]: Taking taylor expansion of PI in n 75.085 * [backup-simplify]: Simplify PI into PI 75.085 * [taylor]: Taking taylor expansion of n in n 75.085 * [backup-simplify]: Simplify 0 into 0 75.085 * [backup-simplify]: Simplify 1 into 1 75.085 * [backup-simplify]: Simplify (/ PI 1) into PI 75.086 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.087 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.089 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 75.090 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.091 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.101 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 75.104 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.108 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 75.111 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.113 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))) 75.120 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 75.129 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 75.139 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 75.140 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 75.142 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 75.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 75.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.147 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 75.147 * [backup-simplify]: Simplify (- 0) into 0 75.149 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 75.154 * [backup-simplify]: Simplify (- (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (+ (* (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into 0 75.154 * [backup-simplify]: Simplify 0 into 0 75.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 75.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 75.157 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 75.158 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n)))))) into 0 75.161 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 (/ PI n)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 (/ PI n)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 (/ PI n)) 1)))) 24) into 0 75.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 75.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 75.165 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 75.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 75.167 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 75.169 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 3)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1) (pow (* 2 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))))) 75.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 75.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 75.172 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 75.172 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 75.174 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 75.176 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))))) into (- (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 75.176 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 75.177 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (/ (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (* (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) (/ (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))))) 75.178 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))))) in n 75.178 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))))) in n 75.178 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 75.178 * [taylor]: Taking taylor expansion of +nan.0 in n 75.178 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.178 * [taylor]: Taking taylor expansion of (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 75.178 * [taylor]: Taking taylor expansion of (pow (log (* -2 (/ PI n))) 2) in n 75.178 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.178 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.178 * [taylor]: Taking taylor expansion of -2 in n 75.178 * [backup-simplify]: Simplify -2 into -2 75.178 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.178 * [taylor]: Taking taylor expansion of PI in n 75.178 * [backup-simplify]: Simplify PI into PI 75.178 * [taylor]: Taking taylor expansion of n in n 75.178 * [backup-simplify]: Simplify 0 into 0 75.178 * [backup-simplify]: Simplify 1 into 1 75.178 * [backup-simplify]: Simplify (/ PI 1) into PI 75.179 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.179 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.180 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 75.180 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 75.180 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 75.180 * [taylor]: Taking taylor expansion of +nan.0 in n 75.180 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.180 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.180 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.180 * [taylor]: Taking taylor expansion of -2 in n 75.180 * [backup-simplify]: Simplify -2 into -2 75.180 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.180 * [taylor]: Taking taylor expansion of PI in n 75.180 * [backup-simplify]: Simplify PI into PI 75.180 * [taylor]: Taking taylor expansion of n in n 75.180 * [backup-simplify]: Simplify 0 into 0 75.180 * [backup-simplify]: Simplify 1 into 1 75.181 * [backup-simplify]: Simplify (/ PI 1) into PI 75.181 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.181 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.183 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 75.184 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.184 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.186 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 75.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.189 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (- (log (* -2 PI)) (log n))) into (pow (- (log (* -2 PI)) (log n)) 2) 75.191 * [backup-simplify]: Simplify (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.191 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) in n 75.191 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) in n 75.191 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 75.192 * [taylor]: Taking taylor expansion of +nan.0 in n 75.192 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.192 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 75.192 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.192 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.192 * [taylor]: Taking taylor expansion of -2 in n 75.192 * [backup-simplify]: Simplify -2 into -2 75.192 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.192 * [taylor]: Taking taylor expansion of PI in n 75.192 * [backup-simplify]: Simplify PI into PI 75.192 * [taylor]: Taking taylor expansion of n in n 75.192 * [backup-simplify]: Simplify 0 into 0 75.192 * [backup-simplify]: Simplify 1 into 1 75.192 * [backup-simplify]: Simplify (/ PI 1) into PI 75.193 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.194 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.194 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 75.194 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 75.194 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 75.194 * [taylor]: Taking taylor expansion of +nan.0 in n 75.194 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.194 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.194 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.194 * [taylor]: Taking taylor expansion of -2 in n 75.194 * [backup-simplify]: Simplify -2 into -2 75.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.194 * [taylor]: Taking taylor expansion of PI in n 75.194 * [backup-simplify]: Simplify PI into PI 75.194 * [taylor]: Taking taylor expansion of n in n 75.194 * [backup-simplify]: Simplify 0 into 0 75.194 * [backup-simplify]: Simplify 1 into 1 75.195 * [backup-simplify]: Simplify (/ PI 1) into PI 75.195 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.196 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.198 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 75.199 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.200 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.202 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 75.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.215 * [backup-simplify]: Simplify (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) in n 75.215 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 75.215 * [taylor]: Taking taylor expansion of +nan.0 in n 75.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.215 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 75.215 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 75.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 75.215 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 75.215 * [taylor]: Taking taylor expansion of +nan.0 in n 75.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 75.215 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 75.215 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 75.215 * [taylor]: Taking taylor expansion of -2 in n 75.215 * [backup-simplify]: Simplify -2 into -2 75.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 75.215 * [taylor]: Taking taylor expansion of PI in n 75.215 * [backup-simplify]: Simplify PI into PI 75.215 * [taylor]: Taking taylor expansion of n in n 75.215 * [backup-simplify]: Simplify 0 into 0 75.215 * [backup-simplify]: Simplify 1 into 1 75.216 * [backup-simplify]: Simplify (/ PI 1) into PI 75.216 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 75.217 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 75.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 75.219 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 75.220 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.221 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 75.223 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 75.226 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.230 * [backup-simplify]: Simplify (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 75.233 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 75.236 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 75.238 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))) 75.244 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 75.253 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 75.262 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 75.275 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 75.288 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 75.320 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log (/ 1 (- n))) 2) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 (- n))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ 1 (- n))) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (+ (* +nan.0 (/ (log (/ 1 (- n))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))) into (- (+ (* +nan.0 (/ (log (* -2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (log (* -2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (pow (log (/ -1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)))))))))))))))))))))) 75.321 * * * [progress]: simplifying candidates 75.321 * * * * [progress]: [ 1 / 209 ] simplifiying candidate # 75.321 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 75.321 * * [simplify]: iters left: 6 (14 enodes) 75.328 * * [simplify]: iters left: 5 (50 enodes) 75.344 * * [simplify]: iters left: 4 (84 enodes) 75.380 * * [simplify]: iters left: 3 (223 enodes) 75.466 * * [simplify]: iters left: 2 (417 enodes) 75.730 * * [simplify]: Extracting #0: cost 1 inf + 0 75.730 * * [simplify]: Extracting #1: cost 82 inf + 0 75.731 * * [simplify]: Extracting #2: cost 286 inf + 1 75.732 * * [simplify]: Extracting #3: cost 273 inf + 2455 75.735 * * [simplify]: Extracting #4: cost 237 inf + 11703 75.750 * * [simplify]: Extracting #5: cost 42 inf + 77895 75.775 * * [simplify]: Extracting #6: cost 0 inf + 92866 75.811 * * [simplify]: Extracting #7: cost 0 inf + 92863 75.846 * [simplify]: Simplified to (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI)))) 75.847 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2))))) 75.847 * * * * [progress]: [ 2 / 209 ] simplifiying candidate # 75.847 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 75.847 * * [simplify]: iters left: 6 (13 enodes) 75.854 * * [simplify]: iters left: 5 (48 enodes) 75.870 * * [simplify]: iters left: 4 (77 enodes) 75.892 * * [simplify]: iters left: 3 (175 enodes) 75.945 * * [simplify]: iters left: 2 (359 enodes) 76.113 * * [simplify]: Extracting #0: cost 1 inf + 0 76.113 * * [simplify]: Extracting #1: cost 77 inf + 0 76.114 * * [simplify]: Extracting #2: cost 249 inf + 1 76.115 * * [simplify]: Extracting #3: cost 238 inf + 1489 76.116 * * [simplify]: Extracting #4: cost 225 inf + 3319 76.119 * * [simplify]: Extracting #5: cost 184 inf + 14577 76.138 * * [simplify]: Extracting #6: cost 20 inf + 68948 76.167 * * [simplify]: Extracting #7: cost 0 inf + 76453 76.197 * * [simplify]: Extracting #8: cost 0 inf + 76372 76.221 * [simplify]: Simplified to (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI)))) 76.221 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2))))) 76.221 * * * * [progress]: [ 3 / 209 ] simplifiying candidate # 76.221 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 76.221 * * [simplify]: iters left: 6 (12 enodes) 76.225 * * [simplify]: iters left: 5 (47 enodes) 76.233 * * [simplify]: iters left: 4 (84 enodes) 76.258 * * [simplify]: iters left: 3 (178 enodes) 76.341 * * [simplify]: iters left: 2 (374 enodes) 76.551 * * [simplify]: Extracting #0: cost 1 inf + 0 76.551 * * [simplify]: Extracting #1: cost 80 inf + 0 76.552 * * [simplify]: Extracting #2: cost 245 inf + 1 76.553 * * [simplify]: Extracting #3: cost 238 inf + 986 76.555 * * [simplify]: Extracting #4: cost 201 inf + 6718 76.564 * * [simplify]: Extracting #5: cost 27 inf + 57296 76.578 * * [simplify]: Extracting #6: cost 0 inf + 66670 76.596 * [simplify]: Simplified to (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n))) 76.596 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2))))) 76.596 * * * * [progress]: [ 4 / 209 ] simplifiying candidate # 76.596 * * * * [progress]: [ 5 / 209 ] simplifiying candidate # 76.596 * [simplify]: Simplifying (* n (* 2 PI)) 76.597 * * [simplify]: iters left: 4 (5 enodes) 76.600 * * [simplify]: iters left: 3 (19 enodes) 76.606 * * [simplify]: iters left: 2 (27 enodes) 76.613 * * [simplify]: iters left: 1 (32 enodes) 76.622 * * [simplify]: Extracting #0: cost 1 inf + 0 76.622 * * [simplify]: Extracting #1: cost 8 inf + 0 76.622 * * [simplify]: Extracting #2: cost 7 inf + 45 76.622 * * [simplify]: Extracting #3: cost 0 inf + 421 76.622 * [simplify]: Simplified to (* (* PI 2) n) 76.622 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 76.623 * * * * [progress]: [ 6 / 209 ] simplifiying candidate # 76.623 * [simplify]: Simplifying (* n (* 2 PI)) 76.623 * * [simplify]: iters left: 4 (5 enodes) 76.626 * * [simplify]: iters left: 3 (19 enodes) 76.632 * * [simplify]: iters left: 2 (27 enodes) 76.640 * * [simplify]: iters left: 1 (32 enodes) 76.648 * * [simplify]: Extracting #0: cost 1 inf + 0 76.648 * * [simplify]: Extracting #1: cost 8 inf + 0 76.648 * * [simplify]: Extracting #2: cost 7 inf + 45 76.649 * * [simplify]: Extracting #3: cost 0 inf + 421 76.649 * [simplify]: Simplified to (* (* PI 2) n) 76.649 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 76.649 * * * * [progress]: [ 7 / 209 ] simplifiying candidate # 76.650 * [simplify]: Simplifying (* n (* 2 PI)) 76.650 * * [simplify]: iters left: 4 (5 enodes) 76.653 * * [simplify]: iters left: 3 (19 enodes) 76.662 * * [simplify]: iters left: 2 (27 enodes) 76.666 * * [simplify]: iters left: 1 (32 enodes) 76.670 * * [simplify]: Extracting #0: cost 1 inf + 0 76.670 * * [simplify]: Extracting #1: cost 8 inf + 0 76.670 * * [simplify]: Extracting #2: cost 7 inf + 45 76.670 * * [simplify]: Extracting #3: cost 0 inf + 421 76.670 * [simplify]: Simplified to (* (* PI 2) n) 76.670 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 76.671 * * * * [progress]: [ 8 / 209 ] simplifiying candidate # 76.671 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 76.671 * * [simplify]: iters left: 6 (6 enodes) 76.673 * * [simplify]: iters left: 5 (19 enodes) 76.675 * * [simplify]: iters left: 4 (21 enodes) 76.678 * * [simplify]: Extracting #0: cost 1 inf + 0 76.678 * * [simplify]: Extracting #1: cost 3 inf + 0 76.678 * * [simplify]: Extracting #2: cost 6 inf + 0 76.679 * * [simplify]: Extracting #3: cost 7 inf + 1 76.679 * * [simplify]: Extracting #4: cost 0 inf + 572 76.679 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 76.679 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.679 * * * * [progress]: [ 9 / 209 ] simplifiying candidate # 76.679 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 76.679 * * [simplify]: iters left: 6 (6 enodes) 76.681 * * [simplify]: iters left: 5 (19 enodes) 76.684 * * [simplify]: iters left: 4 (21 enodes) 76.686 * * [simplify]: Extracting #0: cost 1 inf + 0 76.686 * * [simplify]: Extracting #1: cost 3 inf + 0 76.687 * * [simplify]: Extracting #2: cost 6 inf + 0 76.687 * * [simplify]: Extracting #3: cost 7 inf + 1 76.687 * * [simplify]: Extracting #4: cost 0 inf + 492 76.687 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 76.687 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.687 * * * * [progress]: [ 10 / 209 ] simplifiying candidate # 76.687 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 76.687 * * [simplify]: iters left: 6 (7 enodes) 76.689 * * [simplify]: iters left: 5 (24 enodes) 76.693 * * [simplify]: iters left: 4 (26 enodes) 76.696 * * [simplify]: iters left: 3 (28 enodes) 76.700 * * [simplify]: Extracting #0: cost 1 inf + 0 76.700 * * [simplify]: Extracting #1: cost 4 inf + 0 76.700 * * [simplify]: Extracting #2: cost 5 inf + 1 76.700 * * [simplify]: Extracting #3: cost 7 inf + 1 76.700 * * [simplify]: Extracting #4: cost 0 inf + 572 76.700 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 76.700 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.700 * * * * [progress]: [ 11 / 209 ] simplifiying candidate # 76.700 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 76.700 * * [simplify]: iters left: 6 (7 enodes) 76.703 * * [simplify]: iters left: 5 (24 enodes) 76.707 * * [simplify]: iters left: 4 (26 enodes) 76.713 * * [simplify]: iters left: 3 (28 enodes) 76.720 * * [simplify]: Extracting #0: cost 1 inf + 0 76.720 * * [simplify]: Extracting #1: cost 4 inf + 0 76.720 * * [simplify]: Extracting #2: cost 5 inf + 1 76.720 * * [simplify]: Extracting #3: cost 7 inf + 1 76.721 * * [simplify]: Extracting #4: cost 0 inf + 572 76.721 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 76.721 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.721 * * * * [progress]: [ 12 / 209 ] simplifiying candidate # 76.721 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 76.722 * * [simplify]: iters left: 6 (6 enodes) 76.725 * * [simplify]: iters left: 5 (19 enodes) 76.730 * * [simplify]: iters left: 4 (21 enodes) 76.733 * * [simplify]: Extracting #0: cost 1 inf + 0 76.733 * * [simplify]: Extracting #1: cost 4 inf + 0 76.733 * * [simplify]: Extracting #2: cost 5 inf + 1 76.733 * * [simplify]: Extracting #3: cost 7 inf + 1 76.733 * * [simplify]: Extracting #4: cost 0 inf + 572 76.734 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 76.734 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.734 * * * * [progress]: [ 13 / 209 ] simplifiying candidate # 76.734 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 76.734 * * [simplify]: iters left: 6 (7 enodes) 76.736 * * [simplify]: iters left: 5 (24 enodes) 76.740 * * [simplify]: iters left: 4 (26 enodes) 76.743 * * [simplify]: iters left: 3 (28 enodes) 76.746 * * [simplify]: Extracting #0: cost 1 inf + 0 76.746 * * [simplify]: Extracting #1: cost 4 inf + 0 76.746 * * [simplify]: Extracting #2: cost 5 inf + 1 76.746 * * [simplify]: Extracting #3: cost 7 inf + 1 76.747 * * [simplify]: Extracting #4: cost 0 inf + 492 76.747 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 76.747 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.747 * * * * [progress]: [ 14 / 209 ] simplifiying candidate # 76.747 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 76.747 * * [simplify]: iters left: 6 (7 enodes) 76.749 * * [simplify]: iters left: 5 (24 enodes) 76.752 * * [simplify]: iters left: 4 (26 enodes) 76.759 * * [simplify]: iters left: 3 (28 enodes) 76.763 * * [simplify]: Extracting #0: cost 1 inf + 0 76.763 * * [simplify]: Extracting #1: cost 4 inf + 0 76.763 * * [simplify]: Extracting #2: cost 5 inf + 1 76.764 * * [simplify]: Extracting #3: cost 7 inf + 1 76.764 * * [simplify]: Extracting #4: cost 0 inf + 492 76.764 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 76.764 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.764 * * * * [progress]: [ 15 / 209 ] simplifiying candidate # 76.765 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 76.765 * * [simplify]: iters left: 6 (6 enodes) 76.768 * * [simplify]: iters left: 5 (19 enodes) 76.773 * * [simplify]: iters left: 4 (21 enodes) 76.779 * * [simplify]: Extracting #0: cost 1 inf + 0 76.779 * * [simplify]: Extracting #1: cost 4 inf + 0 76.779 * * [simplify]: Extracting #2: cost 5 inf + 1 76.779 * * [simplify]: Extracting #3: cost 7 inf + 1 76.779 * * [simplify]: Extracting #4: cost 0 inf + 492 76.779 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 76.779 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 76.779 * * * * [progress]: [ 16 / 209 ] simplifiying candidate # 76.779 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 76.779 * * [simplify]: iters left: 5 (6 enodes) 76.782 * * [simplify]: iters left: 4 (21 enodes) 76.785 * * [simplify]: iters left: 3 (23 enodes) 76.788 * * [simplify]: iters left: 2 (25 enodes) 76.791 * * [simplify]: Extracting #0: cost 1 inf + 0 76.791 * * [simplify]: Extracting #1: cost 4 inf + 0 76.791 * * [simplify]: Extracting #2: cost 5 inf + 1 76.791 * * [simplify]: Extracting #3: cost 4 inf + 2 76.791 * * [simplify]: Extracting #4: cost 1 inf + 166 76.792 * * [simplify]: Extracting #5: cost 0 inf + 248 76.792 * [simplify]: Simplified to (+ 1 (sqrt k)) 76.792 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 76.792 * * * * [progress]: [ 17 / 209 ] simplifiying candidate # 76.792 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 76.792 * * [simplify]: iters left: 5 (6 enodes) 76.795 * * [simplify]: iters left: 4 (21 enodes) 76.798 * * [simplify]: iters left: 3 (23 enodes) 76.801 * * [simplify]: iters left: 2 (25 enodes) 76.804 * * [simplify]: Extracting #0: cost 1 inf + 0 76.804 * * [simplify]: Extracting #1: cost 4 inf + 0 76.804 * * [simplify]: Extracting #2: cost 5 inf + 1 76.804 * * [simplify]: Extracting #3: cost 4 inf + 2 76.804 * * [simplify]: Extracting #4: cost 1 inf + 166 76.805 * * [simplify]: Extracting #5: cost 0 inf + 248 76.805 * [simplify]: Simplified to (+ 1 (sqrt k)) 76.805 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 76.805 * * * * [progress]: [ 18 / 209 ] simplifiying candidate # 76.805 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 76.805 * * [simplify]: iters left: 5 (5 enodes) 76.807 * * [simplify]: iters left: 4 (16 enodes) 76.812 * * [simplify]: iters left: 3 (18 enodes) 76.817 * * [simplify]: Extracting #0: cost 1 inf + 0 76.817 * * [simplify]: Extracting #1: cost 4 inf + 0 76.817 * * [simplify]: Extracting #2: cost 5 inf + 1 76.817 * * [simplify]: Extracting #3: cost 1 inf + 166 76.817 * * [simplify]: Extracting #4: cost 0 inf + 248 76.818 * [simplify]: Simplified to (+ 1 (sqrt k)) 76.818 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 76.818 * * * * [progress]: [ 19 / 209 ] simplifiying candidate # 76.818 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 76.819 * * [simplify]: iters left: 5 (7 enodes) 76.824 * * [simplify]: iters left: 4 (24 enodes) 76.831 * * [simplify]: iters left: 3 (26 enodes) 76.836 * * [simplify]: iters left: 2 (28 enodes) 76.839 * * [simplify]: Extracting #0: cost 1 inf + 0 76.839 * * [simplify]: Extracting #1: cost 4 inf + 0 76.839 * * [simplify]: Extracting #2: cost 5 inf + 1 76.839 * * [simplify]: Extracting #3: cost 4 inf + 2 76.839 * * [simplify]: Extracting #4: cost 1 inf + 166 76.839 * * [simplify]: Extracting #5: cost 0 inf + 248 76.840 * [simplify]: Simplified to (+ (sqrt k) 1) 76.840 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 76.840 * * * * [progress]: [ 20 / 209 ] simplifiying candidate # 76.840 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 76.840 * * [simplify]: iters left: 5 (6 enodes) 76.842 * * [simplify]: iters left: 4 (21 enodes) 76.845 * * [simplify]: iters left: 3 (23 enodes) 76.848 * * [simplify]: iters left: 2 (25 enodes) 76.851 * * [simplify]: Extracting #0: cost 1 inf + 0 76.851 * * [simplify]: Extracting #1: cost 4 inf + 0 76.851 * * [simplify]: Extracting #2: cost 5 inf + 1 76.851 * * [simplify]: Extracting #3: cost 1 inf + 166 76.851 * * [simplify]: Extracting #4: cost 0 inf + 248 76.851 * [simplify]: Simplified to (+ (sqrt k) 1) 76.851 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 76.851 * * * * [progress]: [ 21 / 209 ] simplifiying candidate # 76.852 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 76.852 * * [simplify]: iters left: 5 (6 enodes) 76.854 * * [simplify]: iters left: 4 (19 enodes) 76.856 * * [simplify]: iters left: 3 (21 enodes) 76.861 * * [simplify]: Extracting #0: cost 1 inf + 0 76.862 * * [simplify]: Extracting #1: cost 4 inf + 0 76.862 * * [simplify]: Extracting #2: cost 5 inf + 1 76.862 * * [simplify]: Extracting #3: cost 0 inf + 248 76.862 * [simplify]: Simplified to (+ (sqrt k) 1) 76.862 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 76.862 * * * * [progress]: [ 22 / 209 ] simplifiying candidate # 76.862 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 76.862 * * [simplify]: iters left: 5 (6 enodes) 76.865 * * [simplify]: iters left: 4 (21 enodes) 76.870 * * [simplify]: iters left: 3 (23 enodes) 76.876 * * [simplify]: iters left: 2 (25 enodes) 76.880 * * [simplify]: Extracting #0: cost 1 inf + 0 76.880 * * [simplify]: Extracting #1: cost 4 inf + 0 76.880 * * [simplify]: Extracting #2: cost 5 inf + 1 76.880 * * [simplify]: Extracting #3: cost 4 inf + 2 76.880 * * [simplify]: Extracting #4: cost 1 inf + 166 76.880 * * [simplify]: Extracting #5: cost 0 inf + 248 76.880 * [simplify]: Simplified to (+ 1 (sqrt k)) 76.880 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 76.880 * * * * [progress]: [ 23 / 209 ] simplifiying candidate # 76.881 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 76.881 * * [simplify]: iters left: 5 (6 enodes) 76.883 * * [simplify]: iters left: 4 (21 enodes) 76.886 * * [simplify]: iters left: 3 (23 enodes) 76.889 * * [simplify]: iters left: 2 (25 enodes) 76.892 * * [simplify]: Extracting #0: cost 1 inf + 0 76.893 * * [simplify]: Extracting #1: cost 4 inf + 0 76.893 * * [simplify]: Extracting #2: cost 5 inf + 1 76.893 * * [simplify]: Extracting #3: cost 4 inf + 2 76.893 * * [simplify]: Extracting #4: cost 1 inf + 166 76.893 * * [simplify]: Extracting #5: cost 0 inf + 248 76.893 * [simplify]: Simplified to (+ 1 (sqrt k)) 76.893 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 76.893 * * * * [progress]: [ 24 / 209 ] simplifiying candidate # 76.893 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 76.894 * * [simplify]: iters left: 5 (5 enodes) 76.895 * * [simplify]: iters left: 4 (16 enodes) 76.897 * * [simplify]: iters left: 3 (18 enodes) 76.900 * * [simplify]: Extracting #0: cost 1 inf + 0 76.900 * * [simplify]: Extracting #1: cost 4 inf + 0 76.900 * * [simplify]: Extracting #2: cost 5 inf + 1 76.900 * * [simplify]: Extracting #3: cost 1 inf + 166 76.900 * * [simplify]: Extracting #4: cost 0 inf + 248 76.900 * [simplify]: Simplified to (+ 1 (sqrt k)) 76.900 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 76.900 * * * * [progress]: [ 25 / 209 ] simplifiying candidate # 76.900 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 76.901 * * [simplify]: iters left: 5 (5 enodes) 76.902 * * [simplify]: iters left: 4 (16 enodes) 76.905 * * [simplify]: iters left: 3 (18 enodes) 76.908 * * [simplify]: Extracting #0: cost 1 inf + 0 76.908 * * [simplify]: Extracting #1: cost 4 inf + 0 76.909 * * [simplify]: Extracting #2: cost 5 inf + 1 76.909 * * [simplify]: Extracting #3: cost 1 inf + 166 76.909 * * [simplify]: Extracting #4: cost 0 inf + 248 76.909 * [simplify]: Simplified to (+ 1 (sqrt k)) 76.909 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 76.909 * * * * [progress]: [ 26 / 209 ] simplifiying candidate # 76.909 * [simplify]: Simplifying (/ 1 1) 76.910 * * [simplify]: iters left: 2 (2 enodes) 76.911 * * [simplify]: iters left: 1 (6 enodes) 76.913 * * [simplify]: Extracting #0: cost 1 inf + 0 76.913 * * [simplify]: Extracting #1: cost 0 inf + 1 76.913 * [simplify]: Simplified to 1 76.913 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2))))) 76.913 * * * * [progress]: [ 27 / 209 ] simplifiying candidate # 76.914 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 76.914 * * [simplify]: iters left: 6 (7 enodes) 76.917 * * [simplify]: iters left: 5 (26 enodes) 76.924 * * [simplify]: iters left: 4 (39 enodes) 76.931 * * [simplify]: iters left: 3 (65 enodes) 76.943 * * [simplify]: iters left: 2 (127 enodes) 76.973 * * [simplify]: iters left: 1 (256 enodes) 77.097 * * [simplify]: Extracting #0: cost 1 inf + 0 77.097 * * [simplify]: Extracting #1: cost 26 inf + 0 77.098 * * [simplify]: Extracting #2: cost 88 inf + 2 77.099 * * [simplify]: Extracting #3: cost 119 inf + 7 77.100 * * [simplify]: Extracting #4: cost 116 inf + 135 77.101 * * [simplify]: Extracting #5: cost 97 inf + 2803 77.108 * * [simplify]: Extracting #6: cost 40 inf + 25495 77.121 * * [simplify]: Extracting #7: cost 11 inf + 43817 77.135 * * [simplify]: Extracting #8: cost 0 inf + 52114 77.149 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 77.149 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 77.149 * * * * [progress]: [ 28 / 209 ] simplifiying candidate # 77.149 * * * * [progress]: [ 29 / 209 ] simplifiying candidate # 77.149 * * * * [progress]: [ 30 / 209 ] simplifiying candidate # 77.149 * * * * [progress]: [ 31 / 209 ] simplifiying candidate # 77.149 * * * * [progress]: [ 32 / 209 ] simplifiying candidate # 77.149 * * * * [progress]: [ 33 / 209 ] simplifiying candidate # 77.150 * * * * [progress]: [ 34 / 209 ] simplifiying candidate # 77.150 * * * * [progress]: [ 35 / 209 ] simplifiying candidate # 77.150 * * * * [progress]: [ 36 / 209 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)))))> 77.150 * * * * [progress]: [ 37 / 209 ] simplifiying candidate # 77.150 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 77.150 * * [simplify]: iters left: 6 (17 enodes) 77.160 * * [simplify]: iters left: 5 (70 enodes) 77.185 * * [simplify]: iters left: 4 (136 enodes) 77.247 * * [simplify]: Extracting #0: cost 1 inf + 0 77.247 * * [simplify]: Extracting #1: cost 51 inf + 0 77.248 * * [simplify]: Extracting #2: cost 133 inf + 2 77.249 * * [simplify]: Extracting #3: cost 177 inf + 186 77.251 * * [simplify]: Extracting #4: cost 167 inf + 1031 77.254 * * [simplify]: Extracting #5: cost 114 inf + 10315 77.266 * * [simplify]: Extracting #6: cost 16 inf + 41953 77.283 * * [simplify]: Extracting #7: cost 0 inf + 47757 77.301 * [simplify]: Simplified to (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)) 77.301 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 77.302 * * * * [progress]: [ 38 / 209 ] simplifiying candidate # 77.302 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 77.302 * * [simplify]: iters left: 6 (16 enodes) 77.312 * * [simplify]: iters left: 5 (68 enodes) 77.340 * * [simplify]: iters left: 4 (129 enodes) 77.381 * * [simplify]: iters left: 3 (421 enodes) 77.656 * * [simplify]: Extracting #0: cost 1 inf + 0 77.656 * * [simplify]: Extracting #1: cost 67 inf + 0 77.657 * * [simplify]: Extracting #2: cost 263 inf + 2 77.658 * * [simplify]: Extracting #3: cost 375 inf + 74 77.667 * * [simplify]: Extracting #4: cost 228 inf + 37236 77.700 * * [simplify]: Extracting #5: cost 17 inf + 103523 77.725 * * [simplify]: Extracting #6: cost 0 inf + 111259 77.770 * * [simplify]: Extracting #7: cost 0 inf + 111252 77.802 * [simplify]: Simplified to (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) 77.802 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)))))) 77.802 * * * * [progress]: [ 39 / 209 ] simplifiying candidate # 77.802 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 77.803 * * [simplify]: iters left: 6 (15 enodes) 77.807 * * [simplify]: iters left: 5 (67 enodes) 77.820 * * [simplify]: iters left: 4 (136 enodes) 77.884 * * [simplify]: iters left: 3 (395 enodes) 78.108 * * [simplify]: Extracting #0: cost 1 inf + 0 78.108 * * [simplify]: Extracting #1: cost 63 inf + 0 78.109 * * [simplify]: Extracting #2: cost 241 inf + 2 78.116 * * [simplify]: Extracting #3: cost 359 inf + 298 78.121 * * [simplify]: Extracting #4: cost 307 inf + 10117 78.137 * * [simplify]: Extracting #5: cost 143 inf + 53720 78.155 * * [simplify]: Extracting #6: cost 16 inf + 89644 78.196 * * [simplify]: Extracting #7: cost 0 inf + 95108 78.238 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 78.238 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 78.238 * * * * [progress]: [ 40 / 209 ] simplifiying candidate # 78.239 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 78.239 * * [simplify]: iters left: 6 (15 enodes) 78.250 * * [simplify]: iters left: 5 (67 enodes) 78.264 * * [simplify]: iters left: 4 (136 enodes) 78.296 * * [simplify]: iters left: 3 (395 enodes) 78.573 * * [simplify]: Extracting #0: cost 1 inf + 0 78.573 * * [simplify]: Extracting #1: cost 63 inf + 0 78.575 * * [simplify]: Extracting #2: cost 241 inf + 2 78.577 * * [simplify]: Extracting #3: cost 359 inf + 298 78.582 * * [simplify]: Extracting #4: cost 307 inf + 10117 78.591 * * [simplify]: Extracting #5: cost 143 inf + 53720 78.614 * * [simplify]: Extracting #6: cost 16 inf + 89644 78.649 * * [simplify]: Extracting #7: cost 0 inf + 95108 78.670 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 78.670 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 78.670 * * * * [progress]: [ 41 / 209 ] simplifiying candidate # 78.670 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 78.670 * * [simplify]: iters left: 6 (15 enodes) 78.676 * * [simplify]: iters left: 5 (64 enodes) 78.696 * * [simplify]: iters left: 4 (120 enodes) 78.746 * * [simplify]: iters left: 3 (293 enodes) 78.916 * * [simplify]: Extracting #0: cost 1 inf + 0 78.917 * * [simplify]: Extracting #1: cost 53 inf + 0 78.918 * * [simplify]: Extracting #2: cost 235 inf + 2 78.920 * * [simplify]: Extracting #3: cost 342 inf + 298 78.925 * * [simplify]: Extracting #4: cost 274 inf + 14535 78.945 * * [simplify]: Extracting #5: cost 61 inf + 69533 78.978 * * [simplify]: Extracting #6: cost 10 inf + 85983 79.009 * * [simplify]: Extracting #7: cost 0 inf + 90234 79.030 * * [simplify]: Extracting #8: cost 0 inf + 90025 79.061 * [simplify]: Simplified to (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2) 79.062 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2))))) 79.062 * * * * [progress]: [ 42 / 209 ] simplifiying candidate # 79.062 * * * * [progress]: [ 43 / 209 ] simplifiying candidate # 79.062 * [simplify]: Simplifying (* n (* 2 PI)) 79.062 * * [simplify]: iters left: 4 (5 enodes) 79.065 * * [simplify]: iters left: 3 (19 enodes) 79.072 * * [simplify]: iters left: 2 (27 enodes) 79.079 * * [simplify]: iters left: 1 (32 enodes) 79.083 * * [simplify]: Extracting #0: cost 1 inf + 0 79.083 * * [simplify]: Extracting #1: cost 8 inf + 0 79.083 * * [simplify]: Extracting #2: cost 7 inf + 45 79.083 * * [simplify]: Extracting #3: cost 0 inf + 421 79.083 * [simplify]: Simplified to (* (* PI 2) n) 79.083 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2)))))) 79.083 * * * * [progress]: [ 44 / 209 ] simplifiying candidate # 79.083 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 79.084 * * [simplify]: iters left: 6 (13 enodes) 79.087 * * [simplify]: iters left: 5 (50 enodes) 79.095 * * [simplify]: iters left: 4 (81 enodes) 79.108 * * [simplify]: iters left: 3 (136 enodes) 79.143 * * [simplify]: iters left: 2 (257 enodes) 79.197 * * [simplify]: Extracting #0: cost 1 inf + 0 79.197 * * [simplify]: Extracting #1: cost 13 inf + 0 79.198 * * [simplify]: Extracting #2: cost 63 inf + 1 79.198 * * [simplify]: Extracting #3: cost 125 inf + 5 79.199 * * [simplify]: Extracting #4: cost 134 inf + 507 79.204 * * [simplify]: Extracting #5: cost 59 inf + 22010 79.212 * * [simplify]: Extracting #6: cost 3 inf + 53599 79.225 * * [simplify]: Extracting #7: cost 0 inf + 56180 79.233 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 79.233 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)))))) 79.233 * * * * [progress]: [ 45 / 209 ] simplifiying candidate # 79.233 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 79.234 * * [simplify]: iters left: 6 (7 enodes) 79.236 * * [simplify]: iters left: 5 (29 enodes) 79.241 * * [simplify]: iters left: 4 (38 enodes) 79.252 * * [simplify]: Extracting #0: cost 1 inf + 0 79.252 * * [simplify]: Extracting #1: cost 3 inf + 0 79.252 * * [simplify]: Extracting #2: cost 8 inf + 0 79.252 * * [simplify]: Extracting #3: cost 11 inf + 2 79.252 * * [simplify]: Extracting #4: cost 13 inf + 3 79.253 * * [simplify]: Extracting #5: cost 12 inf + 4 79.253 * * [simplify]: Extracting #6: cost 3 inf + 740 79.253 * * [simplify]: Extracting #7: cost 0 inf + 1228 79.254 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 79.254 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2))))))) 79.254 * * * * [progress]: [ 46 / 209 ] simplifiying candidate # 79.254 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 79.254 * * [simplify]: iters left: 6 (7 enodes) 79.259 * * [simplify]: iters left: 5 (29 enodes) 79.269 * * [simplify]: iters left: 4 (38 enodes) 79.275 * * [simplify]: Extracting #0: cost 1 inf + 0 79.275 * * [simplify]: Extracting #1: cost 3 inf + 0 79.275 * * [simplify]: Extracting #2: cost 8 inf + 0 79.275 * * [simplify]: Extracting #3: cost 11 inf + 2 79.276 * * [simplify]: Extracting #4: cost 13 inf + 3 79.276 * * [simplify]: Extracting #5: cost 12 inf + 4 79.276 * * [simplify]: Extracting #6: cost 3 inf + 740 79.276 * * [simplify]: Extracting #7: cost 0 inf + 1148 79.276 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 79.276 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2))))))) 79.276 * * * * [progress]: [ 47 / 209 ] simplifiying candidate # 79.277 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 79.277 * * [simplify]: iters left: 6 (8 enodes) 79.279 * * [simplify]: iters left: 5 (28 enodes) 79.284 * * [simplify]: iters left: 4 (33 enodes) 79.289 * * [simplify]: Extracting #0: cost 1 inf + 0 79.289 * * [simplify]: Extracting #1: cost 4 inf + 0 79.289 * * [simplify]: Extracting #2: cost 8 inf + 0 79.289 * * [simplify]: Extracting #3: cost 9 inf + 163 79.289 * * [simplify]: Extracting #4: cost 11 inf + 164 79.290 * * [simplify]: Extracting #5: cost 10 inf + 165 79.290 * * [simplify]: Extracting #6: cost 5 inf + 491 79.290 * * [simplify]: Extracting #7: cost 0 inf + 1463 79.290 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 79.290 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2)))))) 79.290 * * * * [progress]: [ 48 / 209 ] simplifiying candidate # 79.290 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 79.290 * * [simplify]: iters left: 6 (8 enodes) 79.293 * * [simplify]: iters left: 5 (28 enodes) 79.298 * * [simplify]: iters left: 4 (33 enodes) 79.303 * * [simplify]: Extracting #0: cost 1 inf + 0 79.303 * * [simplify]: Extracting #1: cost 4 inf + 0 79.303 * * [simplify]: Extracting #2: cost 8 inf + 0 79.303 * * [simplify]: Extracting #3: cost 9 inf + 83 79.303 * * [simplify]: Extracting #4: cost 11 inf + 84 79.303 * * [simplify]: Extracting #5: cost 10 inf + 85 79.303 * * [simplify]: Extracting #6: cost 5 inf + 411 79.303 * * [simplify]: Extracting #7: cost 0 inf + 1303 79.303 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 79.303 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2)))))) 79.303 * * * * [progress]: [ 49 / 209 ] simplifiying candidate # 79.304 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 79.304 * * [simplify]: iters left: 6 (7 enodes) 79.306 * * [simplify]: iters left: 5 (25 enodes) 79.310 * * [simplify]: iters left: 4 (30 enodes) 79.314 * * [simplify]: Extracting #0: cost 1 inf + 0 79.315 * * [simplify]: Extracting #1: cost 4 inf + 0 79.315 * * [simplify]: Extracting #2: cost 5 inf + 1 79.315 * * [simplify]: Extracting #3: cost 9 inf + 1 79.315 * * [simplify]: Extracting #4: cost 11 inf + 2 79.315 * * [simplify]: Extracting #5: cost 10 inf + 3 79.315 * * [simplify]: Extracting #6: cost 5 inf + 330 79.315 * * [simplify]: Extracting #7: cost 2 inf + 776 79.315 * * [simplify]: Extracting #8: cost 0 inf + 1141 79.318 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 79.318 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2))))) 79.318 * * * * [progress]: [ 50 / 209 ] simplifiying candidate # 79.319 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 79.319 * * [simplify]: iters left: 6 (8 enodes) 79.321 * * [simplify]: iters left: 5 (28 enodes) 79.326 * * [simplify]: iters left: 4 (33 enodes) 79.331 * * [simplify]: Extracting #0: cost 1 inf + 0 79.331 * * [simplify]: Extracting #1: cost 4 inf + 0 79.332 * * [simplify]: Extracting #2: cost 8 inf + 0 79.332 * * [simplify]: Extracting #3: cost 9 inf + 163 79.332 * * [simplify]: Extracting #4: cost 11 inf + 164 79.332 * * [simplify]: Extracting #5: cost 10 inf + 165 79.332 * * [simplify]: Extracting #6: cost 5 inf + 491 79.332 * * [simplify]: Extracting #7: cost 0 inf + 1303 79.332 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 79.332 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2)))))) 79.332 * * * * [progress]: [ 51 / 209 ] simplifiying candidate # 79.333 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 79.333 * * [simplify]: iters left: 6 (8 enodes) 79.335 * * [simplify]: iters left: 5 (28 enodes) 79.340 * * [simplify]: iters left: 4 (33 enodes) 79.346 * * [simplify]: Extracting #0: cost 1 inf + 0 79.346 * * [simplify]: Extracting #1: cost 4 inf + 0 79.346 * * [simplify]: Extracting #2: cost 8 inf + 0 79.346 * * [simplify]: Extracting #3: cost 9 inf + 83 79.346 * * [simplify]: Extracting #4: cost 11 inf + 84 79.346 * * [simplify]: Extracting #5: cost 10 inf + 85 79.346 * * [simplify]: Extracting #6: cost 5 inf + 411 79.346 * * [simplify]: Extracting #7: cost 0 inf + 1143 79.347 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 79.347 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2)))))) 79.347 * * * * [progress]: [ 52 / 209 ] simplifiying candidate # 79.347 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 79.347 * * [simplify]: iters left: 6 (7 enodes) 79.349 * * [simplify]: iters left: 5 (25 enodes) 79.353 * * [simplify]: iters left: 4 (30 enodes) 79.358 * * [simplify]: Extracting #0: cost 1 inf + 0 79.358 * * [simplify]: Extracting #1: cost 4 inf + 0 79.358 * * [simplify]: Extracting #2: cost 5 inf + 1 79.358 * * [simplify]: Extracting #3: cost 9 inf + 1 79.358 * * [simplify]: Extracting #4: cost 11 inf + 2 79.358 * * [simplify]: Extracting #5: cost 10 inf + 3 79.358 * * [simplify]: Extracting #6: cost 5 inf + 330 79.358 * * [simplify]: Extracting #7: cost 2 inf + 696 79.358 * * [simplify]: Extracting #8: cost 0 inf + 981 79.359 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 79.359 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2))))) 79.359 * * * * [progress]: [ 53 / 209 ] simplifiying candidate # 79.359 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 79.359 * * [simplify]: iters left: 5 (7 enodes) 79.361 * * [simplify]: iters left: 4 (28 enodes) 79.366 * * [simplify]: iters left: 3 (39 enodes) 79.374 * * [simplify]: iters left: 2 (43 enodes) 79.387 * * [simplify]: Extracting #0: cost 1 inf + 0 79.387 * * [simplify]: Extracting #1: cost 7 inf + 0 79.387 * * [simplify]: Extracting #2: cost 16 inf + 0 79.387 * * [simplify]: Extracting #3: cost 15 inf + 164 79.387 * * [simplify]: Extracting #4: cost 13 inf + 287 79.387 * * [simplify]: Extracting #5: cost 5 inf + 1180 79.388 * * [simplify]: Extracting #6: cost 0 inf + 1951 79.389 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 79.389 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 79.389 * * * * [progress]: [ 54 / 209 ] simplifiying candidate # 79.389 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 79.389 * * [simplify]: iters left: 5 (7 enodes) 79.394 * * [simplify]: iters left: 4 (28 enodes) 79.400 * * [simplify]: iters left: 3 (39 enodes) 79.407 * * [simplify]: iters left: 2 (43 enodes) 79.414 * * [simplify]: Extracting #0: cost 1 inf + 0 79.414 * * [simplify]: Extracting #1: cost 7 inf + 0 79.414 * * [simplify]: Extracting #2: cost 16 inf + 0 79.414 * * [simplify]: Extracting #3: cost 15 inf + 84 79.414 * * [simplify]: Extracting #4: cost 13 inf + 167 79.414 * * [simplify]: Extracting #5: cost 5 inf + 900 79.414 * * [simplify]: Extracting #6: cost 0 inf + 1551 79.415 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 79.415 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 79.415 * * * * [progress]: [ 55 / 209 ] simplifiying candidate # 79.415 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 79.415 * * [simplify]: iters left: 5 (6 enodes) 79.420 * * [simplify]: iters left: 4 (26 enodes) 79.425 * * [simplify]: iters left: 3 (35 enodes) 79.430 * * [simplify]: Extracting #0: cost 1 inf + 0 79.430 * * [simplify]: Extracting #1: cost 6 inf + 0 79.430 * * [simplify]: Extracting #2: cost 9 inf + 2 79.430 * * [simplify]: Extracting #3: cost 11 inf + 3 79.430 * * [simplify]: Extracting #4: cost 10 inf + 4 79.431 * * [simplify]: Extracting #5: cost 3 inf + 535 79.431 * * [simplify]: Extracting #6: cost 0 inf + 822 79.431 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 79.431 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2))))) 79.431 * * * * [progress]: [ 56 / 209 ] simplifiying candidate # 79.431 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 79.431 * * [simplify]: iters left: 6 (9 enodes) 79.434 * * [simplify]: iters left: 5 (34 enodes) 79.440 * * [simplify]: iters left: 4 (48 enodes) 79.448 * * [simplify]: iters left: 3 (54 enodes) 79.463 * * [simplify]: iters left: 2 (55 enodes) 79.477 * * [simplify]: iters left: 1 (56 enodes) 79.492 * * [simplify]: Extracting #0: cost 1 inf + 0 79.493 * * [simplify]: Extracting #1: cost 8 inf + 0 79.493 * * [simplify]: Extracting #2: cost 18 inf + 0 79.493 * * [simplify]: Extracting #3: cost 17 inf + 164 79.493 * * [simplify]: Extracting #4: cost 16 inf + 530 79.493 * * [simplify]: Extracting #5: cost 12 inf + 735 79.494 * * [simplify]: Extracting #6: cost 4 inf + 1787 79.495 * * [simplify]: Extracting #7: cost 1 inf + 2515 79.495 * * [simplify]: Extracting #8: cost 0 inf + 2757 79.496 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.496 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 79.497 * * * * [progress]: [ 57 / 209 ] simplifiying candidate # 79.497 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 79.497 * * [simplify]: iters left: 6 (9 enodes) 79.503 * * [simplify]: iters left: 5 (34 enodes) 79.514 * * [simplify]: iters left: 4 (48 enodes) 79.528 * * [simplify]: iters left: 3 (54 enodes) 79.542 * * [simplify]: iters left: 2 (55 enodes) 79.555 * * [simplify]: iters left: 1 (56 enodes) 79.562 * * [simplify]: Extracting #0: cost 1 inf + 0 79.562 * * [simplify]: Extracting #1: cost 8 inf + 0 79.562 * * [simplify]: Extracting #2: cost 18 inf + 0 79.562 * * [simplify]: Extracting #3: cost 17 inf + 84 79.562 * * [simplify]: Extracting #4: cost 16 inf + 330 79.563 * * [simplify]: Extracting #5: cost 12 inf + 495 79.563 * * [simplify]: Extracting #6: cost 4 inf + 1467 79.563 * * [simplify]: Extracting #7: cost 1 inf + 2075 79.564 * * [simplify]: Extracting #8: cost 0 inf + 2277 79.564 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.564 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 79.564 * * * * [progress]: [ 58 / 209 ] simplifiying candidate # 79.564 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 79.564 * * [simplify]: iters left: 6 (8 enodes) 79.567 * * [simplify]: iters left: 5 (31 enodes) 79.573 * * [simplify]: iters left: 4 (46 enodes) 79.584 * * [simplify]: iters left: 3 (49 enodes) 79.596 * * [simplify]: Extracting #0: cost 1 inf + 0 79.596 * * [simplify]: Extracting #1: cost 7 inf + 0 79.596 * * [simplify]: Extracting #2: cost 11 inf + 2 79.597 * * [simplify]: Extracting #3: cost 13 inf + 3 79.597 * * [simplify]: Extracting #4: cost 15 inf + 3 79.597 * * [simplify]: Extracting #5: cost 13 inf + 45 79.597 * * [simplify]: Extracting #6: cost 5 inf + 898 79.598 * * [simplify]: Extracting #7: cost 0 inf + 1628 79.598 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 79.598 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 79.599 * * * * [progress]: [ 59 / 209 ] simplifiying candidate # 79.599 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 79.599 * * [simplify]: iters left: 6 (9 enodes) 79.605 * * [simplify]: iters left: 5 (34 enodes) 79.616 * * [simplify]: iters left: 4 (48 enodes) 79.629 * * [simplify]: iters left: 3 (54 enodes) 79.644 * * [simplify]: iters left: 2 (55 enodes) 79.658 * * [simplify]: iters left: 1 (56 enodes) 79.666 * * [simplify]: Extracting #0: cost 1 inf + 0 79.667 * * [simplify]: Extracting #1: cost 8 inf + 0 79.667 * * [simplify]: Extracting #2: cost 18 inf + 0 79.667 * * [simplify]: Extracting #3: cost 17 inf + 164 79.667 * * [simplify]: Extracting #4: cost 16 inf + 530 79.667 * * [simplify]: Extracting #5: cost 12 inf + 735 79.667 * * [simplify]: Extracting #6: cost 4 inf + 1787 79.668 * * [simplify]: Extracting #7: cost 1 inf + 2515 79.668 * * [simplify]: Extracting #8: cost 0 inf + 2757 79.668 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.668 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 79.669 * * * * [progress]: [ 60 / 209 ] simplifiying candidate # 79.669 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 79.669 * * [simplify]: iters left: 6 (9 enodes) 79.674 * * [simplify]: iters left: 5 (34 enodes) 79.680 * * [simplify]: iters left: 4 (48 enodes) 79.687 * * [simplify]: iters left: 3 (54 enodes) 79.698 * * [simplify]: iters left: 2 (55 enodes) 79.712 * * [simplify]: iters left: 1 (56 enodes) 79.720 * * [simplify]: Extracting #0: cost 1 inf + 0 79.720 * * [simplify]: Extracting #1: cost 8 inf + 0 79.720 * * [simplify]: Extracting #2: cost 18 inf + 0 79.721 * * [simplify]: Extracting #3: cost 17 inf + 84 79.721 * * [simplify]: Extracting #4: cost 16 inf + 330 79.721 * * [simplify]: Extracting #5: cost 12 inf + 495 79.721 * * [simplify]: Extracting #6: cost 4 inf + 1467 79.721 * * [simplify]: Extracting #7: cost 1 inf + 2075 79.722 * * [simplify]: Extracting #8: cost 0 inf + 2277 79.722 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.722 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 79.723 * * * * [progress]: [ 61 / 209 ] simplifiying candidate # 79.723 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 79.723 * * [simplify]: iters left: 6 (8 enodes) 79.726 * * [simplify]: iters left: 5 (31 enodes) 79.732 * * [simplify]: iters left: 4 (46 enodes) 79.738 * * [simplify]: iters left: 3 (49 enodes) 79.745 * * [simplify]: Extracting #0: cost 1 inf + 0 79.745 * * [simplify]: Extracting #1: cost 7 inf + 0 79.745 * * [simplify]: Extracting #2: cost 11 inf + 2 79.745 * * [simplify]: Extracting #3: cost 13 inf + 3 79.745 * * [simplify]: Extracting #4: cost 15 inf + 3 79.745 * * [simplify]: Extracting #5: cost 13 inf + 45 79.746 * * [simplify]: Extracting #6: cost 5 inf + 898 79.746 * * [simplify]: Extracting #7: cost 0 inf + 1628 79.746 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 79.746 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 79.746 * * * * [progress]: [ 62 / 209 ] simplifiying candidate # 79.746 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.747 * * [simplify]: iters left: 6 (8 enodes) 79.749 * * [simplify]: iters left: 5 (31 enodes) 79.754 * * [simplify]: iters left: 4 (42 enodes) 79.761 * * [simplify]: iters left: 3 (46 enodes) 79.771 * * [simplify]: Extracting #0: cost 1 inf + 0 79.771 * * [simplify]: Extracting #1: cost 7 inf + 0 79.771 * * [simplify]: Extracting #2: cost 16 inf + 0 79.771 * * [simplify]: Extracting #3: cost 17 inf + 2 79.771 * * [simplify]: Extracting #4: cost 15 inf + 408 79.772 * * [simplify]: Extracting #5: cost 14 inf + 409 79.772 * * [simplify]: Extracting #6: cost 9 inf + 975 79.773 * * [simplify]: Extracting #7: cost 1 inf + 2270 79.773 * * [simplify]: Extracting #8: cost 0 inf + 2513 79.774 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.774 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 79.774 * * * * [progress]: [ 63 / 209 ] simplifiying candidate # 79.775 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.775 * * [simplify]: iters left: 6 (8 enodes) 79.780 * * [simplify]: iters left: 5 (31 enodes) 79.790 * * [simplify]: iters left: 4 (42 enodes) 79.802 * * [simplify]: iters left: 3 (46 enodes) 79.816 * * [simplify]: Extracting #0: cost 1 inf + 0 79.816 * * [simplify]: Extracting #1: cost 7 inf + 0 79.816 * * [simplify]: Extracting #2: cost 16 inf + 0 79.816 * * [simplify]: Extracting #3: cost 17 inf + 2 79.817 * * [simplify]: Extracting #4: cost 15 inf + 248 79.817 * * [simplify]: Extracting #5: cost 14 inf + 249 79.817 * * [simplify]: Extracting #6: cost 9 inf + 775 79.818 * * [simplify]: Extracting #7: cost 1 inf + 1910 79.818 * * [simplify]: Extracting #8: cost 0 inf + 2113 79.819 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.819 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 79.819 * * * * [progress]: [ 64 / 209 ] simplifiying candidate # 79.820 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 79.820 * * [simplify]: iters left: 6 (7 enodes) 79.825 * * [simplify]: iters left: 5 (29 enodes) 79.835 * * [simplify]: iters left: 4 (38 enodes) 79.846 * * [simplify]: Extracting #0: cost 1 inf + 0 79.846 * * [simplify]: Extracting #1: cost 6 inf + 0 79.846 * * [simplify]: Extracting #2: cost 9 inf + 2 79.846 * * [simplify]: Extracting #3: cost 11 inf + 3 79.846 * * [simplify]: Extracting #4: cost 13 inf + 3 79.847 * * [simplify]: Extracting #5: cost 12 inf + 4 79.847 * * [simplify]: Extracting #6: cost 9 inf + 167 79.847 * * [simplify]: Extracting #7: cost 0 inf + 1304 79.847 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 79.848 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 79.848 * * * * [progress]: [ 65 / 209 ] simplifiying candidate # 79.848 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.848 * * [simplify]: iters left: 6 (8 enodes) 79.853 * * [simplify]: iters left: 5 (31 enodes) 79.859 * * [simplify]: iters left: 4 (42 enodes) 79.865 * * [simplify]: iters left: 3 (46 enodes) 79.872 * * [simplify]: Extracting #0: cost 1 inf + 0 79.872 * * [simplify]: Extracting #1: cost 7 inf + 0 79.872 * * [simplify]: Extracting #2: cost 16 inf + 0 79.872 * * [simplify]: Extracting #3: cost 17 inf + 2 79.872 * * [simplify]: Extracting #4: cost 15 inf + 408 79.872 * * [simplify]: Extracting #5: cost 14 inf + 409 79.872 * * [simplify]: Extracting #6: cost 9 inf + 975 79.873 * * [simplify]: Extracting #7: cost 1 inf + 2270 79.873 * * [simplify]: Extracting #8: cost 0 inf + 2513 79.873 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.873 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 79.874 * * * * [progress]: [ 66 / 209 ] simplifiying candidate # 79.874 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.874 * * [simplify]: iters left: 6 (8 enodes) 79.876 * * [simplify]: iters left: 5 (31 enodes) 79.882 * * [simplify]: iters left: 4 (42 enodes) 79.888 * * [simplify]: iters left: 3 (46 enodes) 79.899 * * [simplify]: Extracting #0: cost 1 inf + 0 79.899 * * [simplify]: Extracting #1: cost 7 inf + 0 79.899 * * [simplify]: Extracting #2: cost 16 inf + 0 79.899 * * [simplify]: Extracting #3: cost 17 inf + 2 79.899 * * [simplify]: Extracting #4: cost 15 inf + 248 79.899 * * [simplify]: Extracting #5: cost 14 inf + 249 79.900 * * [simplify]: Extracting #6: cost 9 inf + 775 79.900 * * [simplify]: Extracting #7: cost 1 inf + 1910 79.900 * * [simplify]: Extracting #8: cost 0 inf + 2113 79.901 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.901 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 79.901 * * * * [progress]: [ 67 / 209 ] simplifiying candidate # 79.901 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 79.901 * * [simplify]: iters left: 6 (7 enodes) 79.904 * * [simplify]: iters left: 5 (29 enodes) 79.909 * * [simplify]: iters left: 4 (38 enodes) 79.914 * * [simplify]: Extracting #0: cost 1 inf + 0 79.915 * * [simplify]: Extracting #1: cost 6 inf + 0 79.915 * * [simplify]: Extracting #2: cost 9 inf + 2 79.915 * * [simplify]: Extracting #3: cost 11 inf + 3 79.915 * * [simplify]: Extracting #4: cost 13 inf + 3 79.915 * * [simplify]: Extracting #5: cost 12 inf + 4 79.915 * * [simplify]: Extracting #6: cost 9 inf + 167 79.915 * * [simplify]: Extracting #7: cost 0 inf + 1304 79.915 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 79.915 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 79.915 * * * * [progress]: [ 68 / 209 ] simplifiying candidate # 79.916 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 79.916 * * [simplify]: iters left: 5 (8 enodes) 79.918 * * [simplify]: iters left: 4 (31 enodes) 79.924 * * [simplify]: iters left: 3 (45 enodes) 79.935 * * [simplify]: iters left: 2 (51 enodes) 79.949 * * [simplify]: iters left: 1 (52 enodes) 79.964 * * [simplify]: Extracting #0: cost 1 inf + 0 79.964 * * [simplify]: Extracting #1: cost 8 inf + 0 79.964 * * [simplify]: Extracting #2: cost 18 inf + 0 79.964 * * [simplify]: Extracting #3: cost 19 inf + 2 79.964 * * [simplify]: Extracting #4: cost 9 inf + 977 79.965 * * [simplify]: Extracting #5: cost 2 inf + 1790 79.966 * * [simplify]: Extracting #6: cost 0 inf + 2195 79.966 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 79.967 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 79.967 * * * * [progress]: [ 69 / 209 ] simplifiying candidate # 79.967 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 79.967 * * [simplify]: iters left: 5 (8 enodes) 79.972 * * [simplify]: iters left: 4 (31 enodes) 79.983 * * [simplify]: iters left: 3 (45 enodes) 79.996 * * [simplify]: iters left: 2 (51 enodes) 80.010 * * [simplify]: iters left: 1 (52 enodes) 80.024 * * [simplify]: Extracting #0: cost 1 inf + 0 80.024 * * [simplify]: Extracting #1: cost 8 inf + 0 80.024 * * [simplify]: Extracting #2: cost 18 inf + 0 80.024 * * [simplify]: Extracting #3: cost 19 inf + 2 80.025 * * [simplify]: Extracting #4: cost 9 inf + 697 80.025 * * [simplify]: Extracting #5: cost 2 inf + 1390 80.026 * * [simplify]: Extracting #6: cost 0 inf + 1715 80.027 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 80.027 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 80.027 * * * * [progress]: [ 70 / 209 ] simplifiying candidate # 80.027 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 80.027 * * [simplify]: iters left: 5 (7 enodes) 80.036 * * [simplify]: iters left: 4 (29 enodes) 80.045 * * [simplify]: iters left: 3 (43 enodes) 80.051 * * [simplify]: iters left: 2 (47 enodes) 80.057 * * [simplify]: Extracting #0: cost 1 inf + 0 80.057 * * [simplify]: Extracting #1: cost 7 inf + 0 80.057 * * [simplify]: Extracting #2: cost 11 inf + 2 80.057 * * [simplify]: Extracting #3: cost 13 inf + 3 80.057 * * [simplify]: Extracting #4: cost 11 inf + 45 80.057 * * [simplify]: Extracting #5: cost 0 inf + 1066 80.057 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 80.058 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2))))) 80.058 * * * * [progress]: [ 71 / 209 ] simplifiying candidate # 80.058 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 80.058 * * [simplify]: iters left: 5 (7 enodes) 80.060 * * [simplify]: iters left: 4 (28 enodes) 80.065 * * [simplify]: iters left: 3 (39 enodes) 80.072 * * [simplify]: iters left: 2 (43 enodes) 80.085 * * [simplify]: Extracting #0: cost 1 inf + 0 80.085 * * [simplify]: Extracting #1: cost 7 inf + 0 80.085 * * [simplify]: Extracting #2: cost 16 inf + 0 80.085 * * [simplify]: Extracting #3: cost 15 inf + 164 80.085 * * [simplify]: Extracting #4: cost 13 inf + 287 80.085 * * [simplify]: Extracting #5: cost 5 inf + 1180 80.086 * * [simplify]: Extracting #6: cost 0 inf + 1951 80.087 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 80.087 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 80.087 * * * * [progress]: [ 72 / 209 ] simplifiying candidate # 80.087 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 80.087 * * [simplify]: iters left: 5 (7 enodes) 80.092 * * [simplify]: iters left: 4 (28 enodes) 80.102 * * [simplify]: iters left: 3 (39 enodes) 80.114 * * [simplify]: iters left: 2 (43 enodes) 80.127 * * [simplify]: Extracting #0: cost 1 inf + 0 80.127 * * [simplify]: Extracting #1: cost 7 inf + 0 80.127 * * [simplify]: Extracting #2: cost 16 inf + 0 80.127 * * [simplify]: Extracting #3: cost 15 inf + 84 80.127 * * [simplify]: Extracting #4: cost 13 inf + 167 80.127 * * [simplify]: Extracting #5: cost 5 inf + 900 80.128 * * [simplify]: Extracting #6: cost 0 inf + 1551 80.129 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 80.129 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 80.129 * * * * [progress]: [ 73 / 209 ] simplifiying candidate # 80.129 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 80.129 * * [simplify]: iters left: 5 (6 enodes) 80.133 * * [simplify]: iters left: 4 (26 enodes) 80.143 * * [simplify]: iters left: 3 (35 enodes) 80.153 * * [simplify]: Extracting #0: cost 1 inf + 0 80.153 * * [simplify]: Extracting #1: cost 6 inf + 0 80.153 * * [simplify]: Extracting #2: cost 9 inf + 2 80.153 * * [simplify]: Extracting #3: cost 11 inf + 3 80.153 * * [simplify]: Extracting #4: cost 10 inf + 4 80.153 * * [simplify]: Extracting #5: cost 3 inf + 535 80.154 * * [simplify]: Extracting #6: cost 0 inf + 822 80.154 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 80.154 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2))))) 80.154 * * * * [progress]: [ 74 / 209 ] simplifiying candidate # 80.155 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 80.155 * * [simplify]: iters left: 5 (6 enodes) 80.158 * * [simplify]: iters left: 4 (26 enodes) 80.166 * * [simplify]: iters left: 3 (35 enodes) 80.171 * * [simplify]: Extracting #0: cost 1 inf + 0 80.171 * * [simplify]: Extracting #1: cost 6 inf + 0 80.171 * * [simplify]: Extracting #2: cost 9 inf + 2 80.171 * * [simplify]: Extracting #3: cost 11 inf + 3 80.171 * * [simplify]: Extracting #4: cost 10 inf + 4 80.171 * * [simplify]: Extracting #5: cost 3 inf + 535 80.171 * * [simplify]: Extracting #6: cost 0 inf + 822 80.172 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 80.172 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2))))) 80.172 * * * * [progress]: [ 75 / 209 ] simplifiying candidate # 80.172 * [simplify]: Simplifying (/ 1 2) 80.172 * * [simplify]: iters left: 2 (3 enodes) 80.174 * * [simplify]: iters left: 1 (12 enodes) 80.176 * * [simplify]: Extracting #0: cost 1 inf + 0 80.176 * * [simplify]: Extracting #1: cost 0 inf + 1 80.176 * [simplify]: Simplified to 1/2 80.176 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2)))) 80.176 * * * * [progress]: [ 76 / 209 ] simplifiying candidate # 80.176 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 80.176 * * [simplify]: iters left: 6 (11 enodes) 80.180 * * [simplify]: iters left: 5 (46 enodes) 80.187 * * [simplify]: iters left: 4 (80 enodes) 80.206 * * [simplify]: iters left: 3 (135 enodes) 80.237 * * [simplify]: iters left: 2 (262 enodes) 80.330 * * [simplify]: Extracting #0: cost 1 inf + 0 80.330 * * [simplify]: Extracting #1: cost 14 inf + 0 80.330 * * [simplify]: Extracting #2: cost 66 inf + 1 80.331 * * [simplify]: Extracting #3: cost 127 inf + 6 80.331 * * [simplify]: Extracting #4: cost 147 inf + 11 80.332 * * [simplify]: Extracting #5: cost 134 inf + 1777 80.334 * * [simplify]: Extracting #6: cost 61 inf + 18363 80.339 * * [simplify]: Extracting #7: cost 19 inf + 39858 80.346 * * [simplify]: Extracting #8: cost 1 inf + 55694 80.360 * * [simplify]: Extracting #9: cost 0 inf + 56467 80.374 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 80.374 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 80.374 * * * * [progress]: [ 77 / 209 ] simplifiying candidate # 80.375 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 80.375 * * [simplify]: iters left: 6 (16 enodes) 80.389 * * [simplify]: iters left: 5 (65 enodes) 80.409 * * [simplify]: iters left: 4 (103 enodes) 80.443 * * [simplify]: iters left: 3 (168 enodes) 80.492 * * [simplify]: iters left: 2 (313 enodes) 80.581 * * [simplify]: Extracting #0: cost 1 inf + 0 80.581 * * [simplify]: Extracting #1: cost 13 inf + 0 80.581 * * [simplify]: Extracting #2: cost 57 inf + 1 80.582 * * [simplify]: Extracting #3: cost 91 inf + 6 80.583 * * [simplify]: Extracting #4: cost 108 inf + 10 80.583 * * [simplify]: Extracting #5: cost 145 inf + 52 80.586 * * [simplify]: Extracting #6: cost 119 inf + 5883 80.593 * * [simplify]: Extracting #7: cost 52 inf + 24618 80.605 * * [simplify]: Extracting #8: cost 11 inf + 59981 80.615 * * [simplify]: Extracting #9: cost 0 inf + 68869 80.629 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 80.629 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 80.629 * * * * [progress]: [ 78 / 209 ] simplifiying candidate # 80.630 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 80.630 * * [simplify]: iters left: 6 (15 enodes) 80.639 * * [simplify]: iters left: 5 (62 enodes) 80.659 * * [simplify]: iters left: 4 (101 enodes) 80.693 * * [simplify]: iters left: 3 (167 enodes) 80.753 * * [simplify]: iters left: 2 (315 enodes) 80.859 * * [simplify]: Extracting #0: cost 1 inf + 0 80.859 * * [simplify]: Extracting #1: cost 14 inf + 0 80.860 * * [simplify]: Extracting #2: cost 59 inf + 1 80.860 * * [simplify]: Extracting #3: cost 106 inf + 6 80.860 * * [simplify]: Extracting #4: cost 152 inf + 10 80.861 * * [simplify]: Extracting #5: cost 159 inf + 262 80.863 * * [simplify]: Extracting #6: cost 82 inf + 19132 80.871 * * [simplify]: Extracting #7: cost 9 inf + 56261 80.887 * * [simplify]: Extracting #8: cost 0 inf + 63185 80.906 * * [simplify]: Extracting #9: cost 0 inf + 62662 80.925 * * [simplify]: Extracting #10: cost 0 inf + 62532 80.944 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 80.944 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 80.944 * * * * [progress]: [ 79 / 209 ] simplifiying candidate # 80.945 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 80.945 * * [simplify]: iters left: 6 (7 enodes) 80.949 * * [simplify]: iters left: 5 (27 enodes) 80.958 * * [simplify]: iters left: 4 (36 enodes) 80.968 * * [simplify]: Extracting #0: cost 1 inf + 0 80.968 * * [simplify]: Extracting #1: cost 0 inf + 1 80.968 * [simplify]: Simplified to 1 80.968 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 80.968 * * * * [progress]: [ 80 / 209 ] simplifiying candidate # 80.969 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 80.969 * * [simplify]: iters left: 6 (15 enodes) 80.977 * * [simplify]: iters left: 5 (64 enodes) 80.997 * * [simplify]: iters left: 4 (107 enodes) 81.031 * * [simplify]: iters left: 3 (172 enodes) 81.092 * * [simplify]: iters left: 2 (308 enodes) 81.217 * * [simplify]: Extracting #0: cost 1 inf + 0 81.217 * * [simplify]: Extracting #1: cost 13 inf + 0 81.217 * * [simplify]: Extracting #2: cost 65 inf + 1 81.218 * * [simplify]: Extracting #3: cost 139 inf + 5 81.219 * * [simplify]: Extracting #4: cost 162 inf + 179 81.221 * * [simplify]: Extracting #5: cost 158 inf + 472 81.224 * * [simplify]: Extracting #6: cost 102 inf + 8559 81.232 * * [simplify]: Extracting #7: cost 44 inf + 34459 81.250 * * [simplify]: Extracting #8: cost 1 inf + 72965 81.270 * * [simplify]: Extracting #9: cost 0 inf + 71959 81.288 * * [simplify]: Extracting #10: cost 0 inf + 71828 81.298 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 81.298 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 81.298 * * * * [progress]: [ 81 / 209 ] simplifiying candidate # 81.298 * * * * [progress]: [ 82 / 209 ] simplifiying candidate # 81.298 * * * * [progress]: [ 83 / 209 ] simplifiying candidate # 81.298 * * * * [progress]: [ 84 / 209 ] simplifiying candidate # 81.298 * * * * [progress]: [ 85 / 209 ] simplifiying candidate # 81.298 * * * * [progress]: [ 86 / 209 ] simplifiying candidate # 81.299 * * * * [progress]: [ 87 / 209 ] simplifiying candidate # 81.299 * * * * [progress]: [ 88 / 209 ] simplifiying candidate # 81.299 * * * * [progress]: [ 89 / 209 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))))> 81.299 * * * * [progress]: [ 90 / 209 ] simplifiying candidate # 81.299 * [simplify]: Simplifying (* n (* 2 PI)) 81.299 * * [simplify]: iters left: 4 (5 enodes) 81.301 * * [simplify]: iters left: 3 (19 enodes) 81.304 * * [simplify]: iters left: 2 (27 enodes) 81.308 * * [simplify]: iters left: 1 (32 enodes) 81.316 * * [simplify]: Extracting #0: cost 1 inf + 0 81.316 * * [simplify]: Extracting #1: cost 8 inf + 0 81.316 * * [simplify]: Extracting #2: cost 7 inf + 45 81.316 * * [simplify]: Extracting #3: cost 0 inf + 421 81.316 * [simplify]: Simplified to (* (* PI 2) n) 81.316 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.316 * * * * [progress]: [ 91 / 209 ] simplifiying candidate # 81.316 * [simplify]: Simplifying (* n (* 2 PI)) 81.317 * * [simplify]: iters left: 4 (5 enodes) 81.318 * * [simplify]: iters left: 3 (19 enodes) 81.321 * * [simplify]: iters left: 2 (27 enodes) 81.328 * * [simplify]: iters left: 1 (32 enodes) 81.336 * * [simplify]: Extracting #0: cost 1 inf + 0 81.336 * * [simplify]: Extracting #1: cost 8 inf + 0 81.336 * * [simplify]: Extracting #2: cost 7 inf + 45 81.336 * * [simplify]: Extracting #3: cost 0 inf + 421 81.336 * [simplify]: Simplified to (* (* PI 2) n) 81.337 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.337 * * * * [progress]: [ 92 / 209 ] simplifiying candidate # 81.337 * * * * [progress]: [ 93 / 209 ] simplifiying candidate # 81.337 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 81.337 * * [simplify]: iters left: 5 (8 enodes) 81.341 * * [simplify]: iters left: 4 (28 enodes) 81.350 * * [simplify]: iters left: 3 (36 enodes) 81.361 * * [simplify]: iters left: 2 (42 enodes) 81.367 * * [simplify]: Extracting #0: cost 1 inf + 0 81.367 * * [simplify]: Extracting #1: cost 8 inf + 0 81.367 * * [simplify]: Extracting #2: cost 17 inf + 0 81.367 * * [simplify]: Extracting #3: cost 12 inf + 145 81.367 * * [simplify]: Extracting #4: cost 5 inf + 1197 81.367 * * [simplify]: Extracting #5: cost 1 inf + 1925 81.367 * * [simplify]: Extracting #6: cost 0 inf + 2107 81.368 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 81.368 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.368 * * * * [progress]: [ 94 / 209 ] simplifiying candidate # 81.368 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 81.368 * * [simplify]: iters left: 5 (7 enodes) 81.370 * * [simplify]: iters left: 4 (26 enodes) 81.375 * * [simplify]: iters left: 3 (35 enodes) 81.380 * * [simplify]: iters left: 2 (44 enodes) 81.386 * * [simplify]: Extracting #0: cost 1 inf + 0 81.386 * * [simplify]: Extracting #1: cost 8 inf + 0 81.386 * * [simplify]: Extracting #2: cost 18 inf + 0 81.386 * * [simplify]: Extracting #3: cost 15 inf + 74 81.386 * * [simplify]: Extracting #4: cost 8 inf + 554 81.386 * * [simplify]: Extracting #5: cost 0 inf + 1911 81.387 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 81.387 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.387 * * * * [progress]: [ 95 / 209 ] simplifiying candidate # 81.387 * * * * [progress]: [ 96 / 209 ] simplifiying candidate # 81.387 * * * * [progress]: [ 97 / 209 ] simplifiying candidate # 81.387 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 81.387 * * [simplify]: iters left: 6 (11 enodes) 81.392 * * [simplify]: iters left: 5 (48 enodes) 81.411 * * [simplify]: iters left: 4 (121 enodes) 81.472 * * [simplify]: iters left: 3 (348 enodes) 81.667 * * [simplify]: Extracting #0: cost 1 inf + 0 81.668 * * [simplify]: Extracting #1: cost 67 inf + 0 81.669 * * [simplify]: Extracting #2: cost 165 inf + 786 81.679 * * [simplify]: Extracting #3: cost 85 inf + 10177 81.689 * * [simplify]: Extracting #4: cost 9 inf + 26399 81.699 * * [simplify]: Extracting #5: cost 0 inf + 28546 81.711 * * [simplify]: Extracting #6: cost 0 inf + 28506 81.722 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 81.722 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.722 * * * * [progress]: [ 98 / 209 ] simplifiying candidate # 81.722 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 81.723 * * [simplify]: iters left: 6 (9 enodes) 81.728 * * [simplify]: iters left: 5 (45 enodes) 81.744 * * [simplify]: iters left: 4 (117 enodes) 81.804 * * [simplify]: iters left: 3 (374 enodes) 82.169 * * [simplify]: Extracting #0: cost 1 inf + 0 82.169 * * [simplify]: Extracting #1: cost 77 inf + 0 82.177 * * [simplify]: Extracting #2: cost 184 inf + 984 82.183 * * [simplify]: Extracting #3: cost 106 inf + 11690 82.191 * * [simplify]: Extracting #4: cost 6 inf + 30376 82.201 * * [simplify]: Extracting #5: cost 0 inf + 31644 82.211 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 82.211 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 82.211 * * * * [progress]: [ 99 / 209 ] simplifiying candidate # 82.211 * * * * [progress]: [ 100 / 209 ] simplifiying candidate # 82.211 * * * * [progress]: [ 101 / 209 ] simplifiying candidate # 82.211 * * * * [progress]: [ 102 / 209 ] simplifiying candidate # 82.211 * * * * [progress]: [ 103 / 209 ] simplifiying candidate # 82.211 * * * * [progress]: [ 104 / 209 ] simplifiying candidate # 82.212 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 82.212 * * [simplify]: iters left: 3 (3 enodes) 82.213 * * [simplify]: iters left: 2 (9 enodes) 82.216 * * [simplify]: Extracting #0: cost 1 inf + 0 82.216 * * [simplify]: Extracting #1: cost 3 inf + 0 82.216 * * [simplify]: Extracting #2: cost 5 inf + 0 82.216 * * [simplify]: Extracting #3: cost 4 inf + 1 82.216 * * [simplify]: Extracting #4: cost 0 inf + 405 82.216 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 82.216 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 82.216 * * * * [progress]: [ 105 / 209 ] simplifiying candidate # 82.216 * [simplify]: Simplifying (sqrt n) 82.217 * * [simplify]: iters left: 1 (2 enodes) 82.217 * * [simplify]: Extracting #0: cost 1 inf + 0 82.217 * * [simplify]: Extracting #1: cost 3 inf + 0 82.217 * * [simplify]: Extracting #2: cost 2 inf + 1 82.218 * * [simplify]: Extracting #3: cost 0 inf + 83 82.218 * [simplify]: Simplified to (sqrt n) 82.218 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 82.218 * * * * [progress]: [ 106 / 209 ] simplifiying candidate # 82.218 * * * * [progress]: [ 107 / 209 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))> 82.218 * * * * [progress]: [ 108 / 209 ] simplifiying candidate # 82.218 * * * * [progress]: [ 109 / 209 ] simplifiying candidate # 82.218 * * * * [progress]: [ 110 / 209 ] simplifiying candidate # 82.218 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 82.219 * * [simplify]: iters left: 6 (19 enodes) 82.229 * * [simplify]: iters left: 5 (78 enodes) 82.255 * * [simplify]: iters left: 4 (159 enodes) 82.329 * * [simplify]: Extracting #0: cost 1 inf + 0 82.329 * * [simplify]: Extracting #1: cost 5 inf + 0 82.329 * * [simplify]: Extracting #2: cost 66 inf + 0 82.329 * * [simplify]: Extracting #3: cost 170 inf + 2 82.330 * * [simplify]: Extracting #4: cost 209 inf + 532 82.332 * * [simplify]: Extracting #5: cost 167 inf + 8179 82.339 * * [simplify]: Extracting #6: cost 30 inf + 50835 82.351 * * [simplify]: Extracting #7: cost 0 inf + 60785 82.377 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (* (+ (log n) (+ (log PI) (log 2))) (sqrt k)) (+ (log n) (+ (log PI) (log 2)))) (- 1/2 (/ (sqrt k) 2)))) 82.377 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (* (+ (log n) (+ (log PI) (log 2))) (sqrt k)) (+ (log n) (+ (log PI) (log 2)))) (- 1/2 (/ (sqrt k) 2))))))) 82.377 * * * * [progress]: [ 111 / 209 ] simplifiying candidate # 82.377 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 82.377 * * [simplify]: iters left: 6 (18 enodes) 82.387 * * [simplify]: iters left: 5 (76 enodes) 82.413 * * [simplify]: iters left: 4 (152 enodes) 82.474 * * [simplify]: Extracting #0: cost 1 inf + 0 82.474 * * [simplify]: Extracting #1: cost 5 inf + 0 82.475 * * [simplify]: Extracting #2: cost 58 inf + 0 82.475 * * [simplify]: Extracting #3: cost 150 inf + 2 82.477 * * [simplify]: Extracting #4: cost 177 inf + 877 82.480 * * [simplify]: Extracting #5: cost 120 inf + 11106 82.497 * * [simplify]: Extracting #6: cost 12 inf + 42589 82.514 * * [simplify]: Extracting #7: cost 0 inf + 46593 82.531 * * [simplify]: Extracting #8: cost 0 inf + 46591 82.549 * [simplify]: Simplified to (- (log (sqrt k)) (/ (+ (+ (log (* 2 PI)) (log n)) (* (sqrt k) (+ (log (* 2 PI)) (log n)))) (/ 2 (- 1 (sqrt k))))) 82.549 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (+ (+ (log (* 2 PI)) (log n)) (* (sqrt k) (+ (log (* 2 PI)) (log n)))) (/ 2 (- 1 (sqrt k)))))))) 82.550 * * * * [progress]: [ 112 / 209 ] simplifiying candidate # 82.550 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 82.550 * * [simplify]: iters left: 6 (17 enodes) 82.560 * * [simplify]: iters left: 5 (75 enodes) 82.586 * * [simplify]: iters left: 4 (159 enodes) 83.029 * * [simplify]: iters left: 3 (497 enodes) 83.372 * * [simplify]: Extracting #0: cost 1 inf + 0 83.372 * * [simplify]: Extracting #1: cost 15 inf + 0 83.373 * * [simplify]: Extracting #2: cost 184 inf + 0 83.376 * * [simplify]: Extracting #3: cost 453 inf + 2 83.384 * * [simplify]: Extracting #4: cost 413 inf + 33428 83.418 * * [simplify]: Extracting #5: cost 27 inf + 148922 83.492 * * [simplify]: Extracting #6: cost 0 inf + 156614 83.552 * * [simplify]: Extracting #7: cost 0 inf + 154374 83.596 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) 83.597 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 83.597 * * * * [progress]: [ 113 / 209 ] simplifiying candidate # 83.598 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 83.598 * * [simplify]: iters left: 6 (17 enodes) 83.607 * * [simplify]: iters left: 5 (75 enodes) 83.631 * * [simplify]: iters left: 4 (159 enodes) 83.681 * * [simplify]: iters left: 3 (497 enodes) 83.991 * * [simplify]: Extracting #0: cost 1 inf + 0 83.991 * * [simplify]: Extracting #1: cost 15 inf + 0 83.992 * * [simplify]: Extracting #2: cost 184 inf + 0 83.995 * * [simplify]: Extracting #3: cost 453 inf + 2 84.006 * * [simplify]: Extracting #4: cost 413 inf + 33428 84.060 * * [simplify]: Extracting #5: cost 27 inf + 148922 84.131 * * [simplify]: Extracting #6: cost 0 inf + 156614 84.198 * * [simplify]: Extracting #7: cost 0 inf + 154374 84.240 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) 84.240 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 84.240 * * * * [progress]: [ 114 / 209 ] simplifiying candidate # 84.240 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 84.241 * * [simplify]: iters left: 6 (17 enodes) 84.248 * * [simplify]: iters left: 5 (72 enodes) 84.262 * * [simplify]: iters left: 4 (139 enodes) 84.299 * * [simplify]: iters left: 3 (361 enodes) 84.534 * * [simplify]: Extracting #0: cost 1 inf + 0 84.534 * * [simplify]: Extracting #1: cost 16 inf + 0 84.535 * * [simplify]: Extracting #2: cost 138 inf + 0 84.537 * * [simplify]: Extracting #3: cost 385 inf + 2 84.542 * * [simplify]: Extracting #4: cost 364 inf + 29333 84.562 * * [simplify]: Extracting #5: cost 67 inf + 114340 84.614 * * [simplify]: Extracting #6: cost 20 inf + 124957 84.644 * * [simplify]: Extracting #7: cost 3 inf + 130476 84.675 * * [simplify]: Extracting #8: cost 0 inf + 132414 84.714 * [simplify]: Simplified to (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1))) 84.714 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1)))))) 84.714 * * * * [progress]: [ 115 / 209 ] simplifiying candidate # 84.714 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 84.714 * * [simplify]: iters left: 6 (17 enodes) 84.719 * * [simplify]: iters left: 5 (72 enodes) 84.733 * * [simplify]: iters left: 4 (139 enodes) 84.778 * * [simplify]: iters left: 3 (361 enodes) 85.002 * * [simplify]: Extracting #0: cost 1 inf + 0 85.002 * * [simplify]: Extracting #1: cost 16 inf + 0 85.003 * * [simplify]: Extracting #2: cost 138 inf + 0 85.005 * * [simplify]: Extracting #3: cost 385 inf + 2 85.014 * * [simplify]: Extracting #4: cost 364 inf + 29333 85.052 * * [simplify]: Extracting #5: cost 67 inf + 114340 85.103 * * [simplify]: Extracting #6: cost 20 inf + 124957 85.160 * * [simplify]: Extracting #7: cost 3 inf + 130476 85.214 * * [simplify]: Extracting #8: cost 0 inf + 132414 85.267 * [simplify]: Simplified to (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1))) 85.267 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1)))))) 85.267 * * * * [progress]: [ 116 / 209 ] simplifiying candidate # 85.267 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 85.267 * * [simplify]: iters left: 6 (17 enodes) 85.277 * * [simplify]: iters left: 5 (72 enodes) 85.303 * * [simplify]: iters left: 4 (128 enodes) 85.348 * * [simplify]: iters left: 3 (270 enodes) 85.521 * * [simplify]: Extracting #0: cost 1 inf + 0 85.521 * * [simplify]: Extracting #1: cost 12 inf + 0 85.522 * * [simplify]: Extracting #2: cost 114 inf + 0 85.523 * * [simplify]: Extracting #3: cost 285 inf + 3 85.526 * * [simplify]: Extracting #4: cost 319 inf + 3695 85.534 * * [simplify]: Extracting #5: cost 217 inf + 26012 85.557 * * [simplify]: Extracting #6: cost 66 inf + 76050 85.590 * * [simplify]: Extracting #7: cost 5 inf + 104731 85.629 * * [simplify]: Extracting #8: cost 0 inf + 107326 85.664 * [simplify]: Simplified to (- (log (sqrt k)) (* (* (+ (sqrt k) 1) (/ (- 1 (sqrt k)) 2)) (log (* (* n PI) 2)))) 85.664 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (* (+ (sqrt k) 1) (/ (- 1 (sqrt k)) 2)) (log (* (* n PI) 2))))))) 85.664 * * * * [progress]: [ 117 / 209 ] simplifiying candidate # 85.665 * * * * [progress]: [ 118 / 209 ] simplifiying candidate # 85.665 * * * * [progress]: [ 119 / 209 ] simplifiying candidate # 85.665 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 85.665 * * [simplify]: iters left: 6 (19 enodes) 85.676 * * [simplify]: iters left: 5 (83 enodes) 85.694 * * [simplify]: iters left: 4 (183 enodes) 85.739 * * [simplify]: iters left: 3 (468 enodes) 85.973 * * [simplify]: Extracting #0: cost 1 inf + 0 85.973 * * [simplify]: Extracting #1: cost 114 inf + 0 85.975 * * [simplify]: Extracting #2: cost 308 inf + 123 85.978 * * [simplify]: Extracting #3: cost 379 inf + 248 85.982 * * [simplify]: Extracting #4: cost 386 inf + 2668 86.003 * * [simplify]: Extracting #5: cost 243 inf + 114874 86.071 * * [simplify]: Extracting #6: cost 21 inf + 319286 86.134 * * [simplify]: Extracting #7: cost 0 inf + 334810 86.229 * * [simplify]: Extracting #8: cost 0 inf + 333348 86.326 * [simplify]: Simplified to (* (/ (sqrt k) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (/ k (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 86.326 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (/ k (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 86.327 * * * * [progress]: [ 120 / 209 ] simplifiying candidate # 86.327 * * * * [progress]: [ 121 / 209 ] simplifiying candidate # 86.327 * * * * [progress]: [ 122 / 209 ] simplifiying candidate # 86.327 * * * * [progress]: [ 123 / 209 ] simplifiying candidate # 86.327 * * * * [progress]: [ 124 / 209 ] simplifiying candidate # 86.327 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 86.327 * * [simplify]: iters left: 6 (14 enodes) 86.335 * * [simplify]: iters left: 5 (57 enodes) 86.355 * * [simplify]: iters left: 4 (96 enodes) 86.388 * * [simplify]: iters left: 3 (180 enodes) 86.438 * * [simplify]: iters left: 2 (393 enodes) 86.583 * * [simplify]: Extracting #0: cost 1 inf + 0 86.583 * * [simplify]: Extracting #1: cost 43 inf + 0 86.583 * * [simplify]: Extracting #2: cost 139 inf + 0 86.584 * * [simplify]: Extracting #3: cost 210 inf + 2 86.585 * * [simplify]: Extracting #4: cost 215 inf + 6319 86.591 * * [simplify]: Extracting #5: cost 152 inf + 43505 86.606 * * [simplify]: Extracting #6: cost 40 inf + 132516 86.630 * * [simplify]: Extracting #7: cost 5 inf + 159528 86.655 * * [simplify]: Extracting #8: cost 0 inf + 159908 86.689 * * [simplify]: Extracting #9: cost 0 inf + 159044 86.711 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 86.711 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 86.711 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 86.711 * * [simplify]: iters left: 6 (14 enodes) 86.716 * * [simplify]: iters left: 5 (56 enodes) 86.733 * * [simplify]: iters left: 4 (92 enodes) 86.762 * * [simplify]: iters left: 3 (151 enodes) 86.808 * * [simplify]: iters left: 2 (284 enodes) 86.896 * * [simplify]: Extracting #0: cost 1 inf + 0 86.896 * * [simplify]: Extracting #1: cost 6 inf + 0 86.896 * * [simplify]: Extracting #2: cost 27 inf + 0 86.896 * * [simplify]: Extracting #3: cost 92 inf + 1 86.897 * * [simplify]: Extracting #4: cost 143 inf + 293 86.898 * * [simplify]: Extracting #5: cost 114 inf + 6284 86.902 * * [simplify]: Extracting #6: cost 60 inf + 25320 86.909 * * [simplify]: Extracting #7: cost 6 inf + 68943 86.927 * * [simplify]: Extracting #8: cost 0 inf + 72787 86.944 * * [simplify]: Extracting #9: cost 0 inf + 72223 86.963 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 86.963 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 86.963 * * * * [progress]: [ 125 / 209 ] simplifiying candidate # 86.964 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 86.964 * * [simplify]: iters left: 6 (19 enodes) 86.974 * * [simplify]: iters left: 5 (76 enodes) 86.999 * * [simplify]: iters left: 4 (123 enodes) 87.035 * * [simplify]: iters left: 3 (212 enodes) 87.090 * * [simplify]: iters left: 2 (422 enodes) 87.231 * * [simplify]: Extracting #0: cost 1 inf + 0 87.232 * * [simplify]: Extracting #1: cost 42 inf + 0 87.232 * * [simplify]: Extracting #2: cost 137 inf + 0 87.234 * * [simplify]: Extracting #3: cost 195 inf + 2 87.236 * * [simplify]: Extracting #4: cost 179 inf + 2499 87.240 * * [simplify]: Extracting #5: cost 162 inf + 6955 87.245 * * [simplify]: Extracting #6: cost 198 inf + 7693 87.253 * * [simplify]: Extracting #7: cost 185 inf + 19143 87.277 * * [simplify]: Extracting #8: cost 85 inf + 103826 87.319 * * [simplify]: Extracting #9: cost 6 inf + 186818 87.366 * * [simplify]: Extracting #10: cost 0 inf + 193682 87.409 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 87.409 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 87.410 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 87.410 * * [simplify]: iters left: 6 (17 enodes) 87.419 * * [simplify]: iters left: 5 (68 enodes) 87.441 * * [simplify]: iters left: 4 (108 enodes) 87.476 * * [simplify]: iters left: 3 (177 enodes) 87.534 * * [simplify]: iters left: 2 (331 enodes) 87.612 * * [simplify]: Extracting #0: cost 1 inf + 0 87.613 * * [simplify]: Extracting #1: cost 6 inf + 0 87.613 * * [simplify]: Extracting #2: cost 27 inf + 0 87.613 * * [simplify]: Extracting #3: cost 88 inf + 1 87.614 * * [simplify]: Extracting #4: cost 119 inf + 49 87.615 * * [simplify]: Extracting #5: cost 138 inf + 2383 87.619 * * [simplify]: Extracting #6: cost 107 inf + 8930 87.626 * * [simplify]: Extracting #7: cost 75 inf + 18836 87.639 * * [simplify]: Extracting #8: cost 26 inf + 56354 87.656 * * [simplify]: Extracting #9: cost 0 inf + 80172 87.666 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 87.666 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 87.667 * * * * [progress]: [ 126 / 209 ] simplifiying candidate # 87.667 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 87.667 * * [simplify]: iters left: 6 (18 enodes) 87.672 * * [simplify]: iters left: 5 (73 enodes) 87.684 * * [simplify]: iters left: 4 (125 enodes) 87.723 * * [simplify]: iters left: 3 (209 enodes) 87.789 * * [simplify]: iters left: 2 (401 enodes) 87.895 * * [simplify]: Extracting #0: cost 1 inf + 0 87.895 * * [simplify]: Extracting #1: cost 44 inf + 0 87.896 * * [simplify]: Extracting #2: cost 141 inf + 0 87.897 * * [simplify]: Extracting #3: cost 198 inf + 2 87.899 * * [simplify]: Extracting #4: cost 201 inf + 1844 87.903 * * [simplify]: Extracting #5: cost 207 inf + 6872 87.907 * * [simplify]: Extracting #6: cost 193 inf + 13189 87.923 * * [simplify]: Extracting #7: cost 78 inf + 109641 87.957 * * [simplify]: Extracting #8: cost 3 inf + 186551 87.990 * * [simplify]: Extracting #9: cost 0 inf + 186064 88.019 * * [simplify]: Extracting #10: cost 0 inf + 185933 88.071 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (pow (sqrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) 88.071 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (sqrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 88.072 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 88.072 * * [simplify]: iters left: 6 (17 enodes) 88.082 * * [simplify]: iters left: 5 (68 enodes) 88.095 * * [simplify]: iters left: 4 (109 enodes) 88.113 * * [simplify]: iters left: 3 (178 enodes) 88.166 * * [simplify]: iters left: 2 (332 enodes) 88.236 * * [simplify]: Extracting #0: cost 1 inf + 0 88.236 * * [simplify]: Extracting #1: cost 6 inf + 0 88.236 * * [simplify]: Extracting #2: cost 27 inf + 0 88.237 * * [simplify]: Extracting #3: cost 89 inf + 1 88.237 * * [simplify]: Extracting #4: cost 125 inf + 49 88.242 * * [simplify]: Extracting #5: cost 140 inf + 3326 88.246 * * [simplify]: Extracting #6: cost 104 inf + 9828 88.253 * * [simplify]: Extracting #7: cost 73 inf + 17804 88.265 * * [simplify]: Extracting #8: cost 19 inf + 60563 88.279 * * [simplify]: Extracting #9: cost 0 inf + 79477 88.290 * * [simplify]: Extracting #10: cost 0 inf + 79257 88.300 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 88.300 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 88.300 * * * * [progress]: [ 127 / 209 ] simplifiying candidate # 88.300 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (/ (- 1 (sqrt k)) 2))) 88.300 * * [simplify]: iters left: 6 (10 enodes) 88.305 * * [simplify]: iters left: 5 (38 enodes) 88.318 * * [simplify]: iters left: 4 (51 enodes) 88.333 * * [simplify]: iters left: 3 (55 enodes) 88.341 * * [simplify]: iters left: 2 (56 enodes) 88.348 * * [simplify]: Extracting #0: cost 1 inf + 0 88.348 * * [simplify]: Extracting #1: cost 5 inf + 0 88.348 * * [simplify]: Extracting #2: cost 7 inf + 1 88.349 * * [simplify]: Extracting #3: cost 9 inf + 1 88.349 * * [simplify]: Extracting #4: cost 8 inf + 2 88.349 * * [simplify]: Extracting #5: cost 2 inf + 649 88.349 * * [simplify]: Extracting #6: cost 0 inf + 972 88.349 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 88.349 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 88.349 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 88.349 * * [simplify]: iters left: 6 (16 enodes) 88.356 * * [simplify]: iters left: 5 (65 enodes) 88.367 * * [simplify]: iters left: 4 (109 enodes) 88.392 * * [simplify]: iters left: 3 (177 enodes) 88.453 * * [simplify]: iters left: 2 (315 enodes) 88.556 * * [simplify]: Extracting #0: cost 1 inf + 0 88.556 * * [simplify]: Extracting #1: cost 6 inf + 0 88.556 * * [simplify]: Extracting #2: cost 29 inf + 0 88.557 * * [simplify]: Extracting #3: cost 95 inf + 1 88.558 * * [simplify]: Extracting #4: cost 149 inf + 539 88.561 * * [simplify]: Extracting #5: cost 117 inf + 7530 88.569 * * [simplify]: Extracting #6: cost 58 inf + 28264 88.582 * * [simplify]: Extracting #7: cost 19 inf + 57409 88.600 * * [simplify]: Extracting #8: cost 1 inf + 74127 88.622 * * [simplify]: Extracting #9: cost 0 inf + 75204 88.637 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 88.638 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 88.638 * * * * [progress]: [ 128 / 209 ] simplifiying candidate # 88.638 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 88.638 * * [simplify]: iters left: 6 (18 enodes) 88.644 * * [simplify]: iters left: 5 (75 enodes) 88.656 * * [simplify]: iters left: 4 (127 enodes) 88.681 * * [simplify]: iters left: 3 (217 enodes) 88.729 * * [simplify]: iters left: 2 (421 enodes) 88.911 * * [simplify]: Extracting #0: cost 1 inf + 0 88.911 * * [simplify]: Extracting #1: cost 45 inf + 0 88.912 * * [simplify]: Extracting #2: cost 144 inf + 0 88.913 * * [simplify]: Extracting #3: cost 207 inf + 2 88.915 * * [simplify]: Extracting #4: cost 237 inf + 1271 88.918 * * [simplify]: Extracting #5: cost 224 inf + 5899 88.926 * * [simplify]: Extracting #6: cost 167 inf + 24418 88.949 * * [simplify]: Extracting #7: cost 76 inf + 102725 88.983 * * [simplify]: Extracting #8: cost 8 inf + 179599 89.018 * * [simplify]: Extracting #9: cost 0 inf + 188077 89.046 * * [simplify]: Extracting #10: cost 0 inf + 187626 89.076 * * [simplify]: Extracting #11: cost 0 inf + 187462 89.120 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) 89.121 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 89.121 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 89.121 * * [simplify]: iters left: 6 (17 enodes) 89.126 * * [simplify]: iters left: 5 (70 enodes) 89.138 * * [simplify]: iters left: 4 (111 enodes) 89.164 * * [simplify]: iters left: 3 (184 enodes) 89.213 * * [simplify]: iters left: 2 (344 enodes) 89.305 * * [simplify]: Extracting #0: cost 1 inf + 0 89.305 * * [simplify]: Extracting #1: cost 6 inf + 0 89.305 * * [simplify]: Extracting #2: cost 27 inf + 0 89.306 * * [simplify]: Extracting #3: cost 97 inf + 1 89.307 * * [simplify]: Extracting #4: cost 149 inf + 661 89.309 * * [simplify]: Extracting #5: cost 139 inf + 4558 89.314 * * [simplify]: Extracting #6: cost 96 inf + 11375 89.319 * * [simplify]: Extracting #7: cost 46 inf + 36400 89.327 * * [simplify]: Extracting #8: cost 16 inf + 63355 89.338 * * [simplify]: Extracting #9: cost 1 inf + 78851 89.348 * * [simplify]: Extracting #10: cost 0 inf + 79595 89.368 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 89.368 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 89.369 * * * * [progress]: [ 129 / 209 ] simplifiying candidate # 89.369 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 89.369 * * [simplify]: iters left: 6 (19 enodes) 89.377 * * [simplify]: iters left: 5 (80 enodes) 89.394 * * [simplify]: iters left: 4 (137 enodes) 89.417 * * [simplify]: iters left: 3 (204 enodes) 89.484 * * [simplify]: iters left: 2 (334 enodes) 89.578 * * [simplify]: Extracting #0: cost 1 inf + 0 89.579 * * [simplify]: Extracting #1: cost 11 inf + 0 89.579 * * [simplify]: Extracting #2: cost 22 inf + 0 89.579 * * [simplify]: Extracting #3: cost 37 inf + 0 89.579 * * [simplify]: Extracting #4: cost 85 inf + 43 89.580 * * [simplify]: Extracting #5: cost 146 inf + 734 89.583 * * [simplify]: Extracting #6: cost 127 inf + 5407 89.589 * * [simplify]: Extracting #7: cost 71 inf + 20401 89.603 * * [simplify]: Extracting #8: cost 23 inf + 53772 89.624 * * [simplify]: Extracting #9: cost 3 inf + 71480 89.644 * * [simplify]: Extracting #10: cost 0 inf + 74340 89.656 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))) 89.657 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 89.657 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 89.657 * * [simplify]: iters left: 6 (17 enodes) 89.662 * * [simplify]: iters left: 5 (68 enodes) 89.673 * * [simplify]: iters left: 4 (106 enodes) 89.690 * * [simplify]: iters left: 3 (171 enodes) 89.736 * * [simplify]: iters left: 2 (316 enodes) 89.798 * * [simplify]: Extracting #0: cost 1 inf + 0 89.798 * * [simplify]: Extracting #1: cost 4 inf + 0 89.799 * * [simplify]: Extracting #2: cost 8 inf + 0 89.799 * * [simplify]: Extracting #3: cost 23 inf + 0 89.799 * * [simplify]: Extracting #4: cost 73 inf + 2 89.799 * * [simplify]: Extracting #5: cost 143 inf + 48 89.803 * * [simplify]: Extracting #6: cost 125 inf + 4640 89.809 * * [simplify]: Extracting #7: cost 44 inf + 32799 89.824 * * [simplify]: Extracting #8: cost 2 inf + 63793 89.840 * * [simplify]: Extracting #9: cost 0 inf + 65272 89.858 * * [simplify]: Extracting #10: cost 0 inf + 65141 89.875 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 89.876 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 89.876 * * * * [progress]: [ 130 / 209 ] simplifiying candidate # 89.876 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 89.877 * * [simplify]: iters left: 6 (18 enodes) 89.886 * * [simplify]: iters left: 5 (73 enodes) 89.910 * * [simplify]: iters left: 4 (120 enodes) 89.947 * * [simplify]: iters left: 3 (183 enodes) 90.009 * * [simplify]: iters left: 2 (310 enodes) 90.111 * * [simplify]: Extracting #0: cost 1 inf + 0 90.111 * * [simplify]: Extracting #1: cost 7 inf + 0 90.111 * * [simplify]: Extracting #2: cost 15 inf + 0 90.111 * * [simplify]: Extracting #3: cost 33 inf + 0 90.112 * * [simplify]: Extracting #4: cost 88 inf + 43 90.112 * * [simplify]: Extracting #5: cost 142 inf + 736 90.113 * * [simplify]: Extracting #6: cost 129 inf + 4588 90.118 * * [simplify]: Extracting #7: cost 86 inf + 10438 90.124 * * [simplify]: Extracting #8: cost 56 inf + 25168 90.139 * * [simplify]: Extracting #9: cost 2 inf + 69336 90.157 * * [simplify]: Extracting #10: cost 0 inf + 70646 90.176 * * [simplify]: Extracting #11: cost 0 inf + 70515 90.195 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (sqrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) 90.195 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (sqrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 90.195 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 90.195 * * [simplify]: iters left: 6 (17 enodes) 90.204 * * [simplify]: iters left: 5 (68 enodes) 90.230 * * [simplify]: iters left: 4 (107 enodes) 90.264 * * [simplify]: iters left: 3 (172 enodes) 90.324 * * [simplify]: iters left: 2 (317 enodes) 90.427 * * [simplify]: Extracting #0: cost 1 inf + 0 90.427 * * [simplify]: Extracting #1: cost 4 inf + 0 90.427 * * [simplify]: Extracting #2: cost 9 inf + 0 90.427 * * [simplify]: Extracting #3: cost 28 inf + 0 90.428 * * [simplify]: Extracting #4: cost 86 inf + 43 90.428 * * [simplify]: Extracting #5: cost 135 inf + 783 90.430 * * [simplify]: Extracting #6: cost 109 inf + 6690 90.434 * * [simplify]: Extracting #7: cost 45 inf + 30813 90.442 * * [simplify]: Extracting #8: cost 5 inf + 59820 90.450 * * [simplify]: Extracting #9: cost 0 inf + 63783 90.460 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 90.461 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 90.461 * * * * [progress]: [ 131 / 209 ] simplifiying candidate # 90.461 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 90.461 * * [simplify]: iters left: 6 (6 enodes) 90.465 * * [simplify]: iters left: 5 (20 enodes) 90.476 * * [simplify]: iters left: 4 (30 enodes) 90.485 * * [simplify]: iters left: 3 (31 enodes) 90.489 * * [simplify]: Extracting #0: cost 1 inf + 0 90.489 * * [simplify]: Extracting #1: cost 5 inf + 0 90.489 * * [simplify]: Extracting #2: cost 7 inf + 1 90.489 * * [simplify]: Extracting #3: cost 9 inf + 1 90.489 * * [simplify]: Extracting #4: cost 8 inf + 2 90.489 * * [simplify]: Extracting #5: cost 0 inf + 972 90.490 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 90.490 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 90.490 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 90.490 * * [simplify]: iters left: 6 (16 enodes) 90.494 * * [simplify]: iters left: 5 (65 enodes) 90.506 * * [simplify]: iters left: 4 (109 enodes) 90.529 * * [simplify]: iters left: 3 (177 enodes) 90.561 * * [simplify]: iters left: 2 (315 enodes) 90.670 * * [simplify]: Extracting #0: cost 1 inf + 0 90.670 * * [simplify]: Extracting #1: cost 6 inf + 0 90.670 * * [simplify]: Extracting #2: cost 29 inf + 0 90.670 * * [simplify]: Extracting #3: cost 95 inf + 1 90.670 * * [simplify]: Extracting #4: cost 149 inf + 539 90.672 * * [simplify]: Extracting #5: cost 117 inf + 7530 90.676 * * [simplify]: Extracting #6: cost 58 inf + 28264 90.686 * * [simplify]: Extracting #7: cost 19 inf + 57409 90.696 * * [simplify]: Extracting #8: cost 1 inf + 74127 90.705 * * [simplify]: Extracting #9: cost 0 inf + 75204 90.715 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 90.715 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 90.715 * * * * [progress]: [ 132 / 209 ] simplifiying candidate # 90.715 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 90.715 * * [simplify]: iters left: 6 (18 enodes) 90.720 * * [simplify]: iters left: 5 (76 enodes) 90.744 * * [simplify]: iters left: 4 (130 enodes) 90.780 * * [simplify]: iters left: 3 (230 enodes) 90.827 * * [simplify]: iters left: 2 (465 enodes) 91.000 * * [simplify]: Extracting #0: cost 1 inf + 0 91.000 * * [simplify]: Extracting #1: cost 44 inf + 0 91.000 * * [simplify]: Extracting #2: cost 141 inf + 0 91.001 * * [simplify]: Extracting #3: cost 214 inf + 2 91.002 * * [simplify]: Extracting #4: cost 243 inf + 2295 91.005 * * [simplify]: Extracting #5: cost 208 inf + 12459 91.014 * * [simplify]: Extracting #6: cost 105 inf + 78436 91.043 * * [simplify]: Extracting #7: cost 15 inf + 170323 91.086 * * [simplify]: Extracting #8: cost 0 inf + 180793 91.113 * * [simplify]: Extracting #9: cost 0 inf + 180531 91.163 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8))) (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)))) 91.163 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8))) (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 91.163 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 91.164 * * [simplify]: iters left: 6 (17 enodes) 91.172 * * [simplify]: iters left: 5 (71 enodes) 91.184 * * [simplify]: iters left: 4 (115 enodes) 91.204 * * [simplify]: iters left: 3 (191 enodes) 91.274 * * [simplify]: iters left: 2 (360 enodes) 91.361 * * [simplify]: Extracting #0: cost 1 inf + 0 91.362 * * [simplify]: Extracting #1: cost 6 inf + 0 91.362 * * [simplify]: Extracting #2: cost 28 inf + 0 91.362 * * [simplify]: Extracting #3: cost 103 inf + 1 91.363 * * [simplify]: Extracting #4: cost 166 inf + 213 91.364 * * [simplify]: Extracting #5: cost 136 inf + 6839 91.368 * * [simplify]: Extracting #6: cost 77 inf + 20391 91.375 * * [simplify]: Extracting #7: cost 32 inf + 48506 91.393 * * [simplify]: Extracting #8: cost 3 inf + 73052 91.411 * * [simplify]: Extracting #9: cost 0 inf + 74991 91.422 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 91.422 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 91.422 * * * * [progress]: [ 133 / 209 ] simplifiying candidate # 91.423 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 91.423 * * [simplify]: iters left: 6 (15 enodes) 91.427 * * [simplify]: iters left: 5 (59 enodes) 91.441 * * [simplify]: iters left: 4 (91 enodes) 91.457 * * [simplify]: iters left: 3 (155 enodes) 91.487 * * [simplify]: iters left: 2 (306 enodes) 91.573 * * [simplify]: Extracting #0: cost 1 inf + 0 91.573 * * [simplify]: Extracting #1: cost 6 inf + 0 91.573 * * [simplify]: Extracting #2: cost 29 inf + 0 91.574 * * [simplify]: Extracting #3: cost 98 inf + 1 91.575 * * [simplify]: Extracting #4: cost 149 inf + 332 91.576 * * [simplify]: Extracting #5: cost 159 inf + 1361 91.581 * * [simplify]: Extracting #6: cost 89 inf + 17818 91.593 * * [simplify]: Extracting #7: cost 22 inf + 54377 91.609 * * [simplify]: Extracting #8: cost 1 inf + 68420 91.627 * * [simplify]: Extracting #9: cost 0 inf + 68994 91.646 * * [simplify]: Extracting #10: cost 0 inf + 68863 91.664 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 91.664 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 91.665 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 91.665 * * [simplify]: iters left: 6 (15 enodes) 91.669 * * [simplify]: iters left: 5 (59 enodes) 91.679 * * [simplify]: iters left: 4 (91 enodes) 91.695 * * [simplify]: iters left: 3 (155 enodes) 91.749 * * [simplify]: iters left: 2 (306 enodes) 91.846 * * [simplify]: Extracting #0: cost 1 inf + 0 91.846 * * [simplify]: Extracting #1: cost 6 inf + 0 91.846 * * [simplify]: Extracting #2: cost 28 inf + 0 91.846 * * [simplify]: Extracting #3: cost 97 inf + 1 91.846 * * [simplify]: Extracting #4: cost 151 inf + 210 91.847 * * [simplify]: Extracting #5: cost 164 inf + 581 91.850 * * [simplify]: Extracting #6: cost 81 inf + 24210 91.861 * * [simplify]: Extracting #7: cost 37 inf + 42333 91.880 * * [simplify]: Extracting #8: cost 0 inf + 72453 91.902 * * [simplify]: Extracting #9: cost 0 inf + 72284 91.920 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 91.921 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 91.921 * * * * [progress]: [ 134 / 209 ] simplifiying candidate # 91.921 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 91.921 * * [simplify]: iters left: 6 (20 enodes) 91.931 * * [simplify]: iters left: 5 (78 enodes) 91.944 * * [simplify]: iters left: 4 (122 enodes) 91.968 * * [simplify]: iters left: 3 (186 enodes) 92.007 * * [simplify]: iters left: 2 (319 enodes) 92.085 * * [simplify]: Extracting #0: cost 1 inf + 0 92.085 * * [simplify]: Extracting #1: cost 6 inf + 0 92.085 * * [simplify]: Extracting #2: cost 28 inf + 0 92.086 * * [simplify]: Extracting #3: cost 84 inf + 1 92.086 * * [simplify]: Extracting #4: cost 107 inf + 89 92.087 * * [simplify]: Extracting #5: cost 94 inf + 2785 92.091 * * [simplify]: Extracting #6: cost 104 inf + 6997 92.093 * * [simplify]: Extracting #7: cost 108 inf + 9014 92.097 * * [simplify]: Extracting #8: cost 73 inf + 19390 92.103 * * [simplify]: Extracting #9: cost 25 inf + 57656 92.114 * * [simplify]: Extracting #10: cost 3 inf + 80351 92.133 * * [simplify]: Extracting #11: cost 0 inf + 83333 92.156 * * [simplify]: Extracting #12: cost 0 inf + 83292 92.178 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1)))) (- 1/2 (/ (sqrt k) 2)))) 92.178 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1)))) (- 1/2 (/ (sqrt k) 2)))) (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 92.179 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 92.179 * * [simplify]: iters left: 6 (18 enodes) 92.189 * * [simplify]: iters left: 5 (71 enodes) 92.211 * * [simplify]: iters left: 4 (115 enodes) 92.250 * * [simplify]: iters left: 3 (179 enodes) 92.284 * * [simplify]: iters left: 2 (312 enodes) 92.361 * * [simplify]: Extracting #0: cost 1 inf + 0 92.361 * * [simplify]: Extracting #1: cost 6 inf + 0 92.361 * * [simplify]: Extracting #2: cost 27 inf + 0 92.361 * * [simplify]: Extracting #3: cost 82 inf + 1 92.361 * * [simplify]: Extracting #4: cost 115 inf + 89 92.362 * * [simplify]: Extracting #5: cost 126 inf + 3195 92.364 * * [simplify]: Extracting #6: cost 111 inf + 7989 92.368 * * [simplify]: Extracting #7: cost 72 inf + 20824 92.379 * * [simplify]: Extracting #8: cost 22 inf + 58870 92.388 * * [simplify]: Extracting #9: cost 0 inf + 81335 92.398 * * [simplify]: Extracting #10: cost 0 inf + 80800 92.414 * * [simplify]: Extracting #11: cost 0 inf + 80456 92.434 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 92.434 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 92.434 * * * * [progress]: [ 135 / 209 ] simplifiying candidate # 92.434 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 92.435 * * [simplify]: iters left: 6 (19 enodes) 92.441 * * [simplify]: iters left: 5 (75 enodes) 92.454 * * [simplify]: iters left: 4 (120 enodes) 92.479 * * [simplify]: iters left: 3 (188 enodes) 92.517 * * [simplify]: iters left: 2 (322 enodes) 92.605 * * [simplify]: Extracting #0: cost 1 inf + 0 92.605 * * [simplify]: Extracting #1: cost 6 inf + 0 92.605 * * [simplify]: Extracting #2: cost 28 inf + 0 92.606 * * [simplify]: Extracting #3: cost 86 inf + 1 92.606 * * [simplify]: Extracting #4: cost 120 inf + 170 92.608 * * [simplify]: Extracting #5: cost 135 inf + 3197 92.612 * * [simplify]: Extracting #6: cost 100 inf + 9872 92.624 * * [simplify]: Extracting #7: cost 60 inf + 25205 92.637 * * [simplify]: Extracting #8: cost 26 inf + 51876 92.646 * * [simplify]: Extracting #9: cost 4 inf + 73769 92.656 * * [simplify]: Extracting #10: cost 0 inf + 77416 92.666 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (sqrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 92.666 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (sqrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 92.667 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 92.667 * * [simplify]: iters left: 6 (18 enodes) 92.677 * * [simplify]: iters left: 5 (71 enodes) 92.700 * * [simplify]: iters left: 4 (116 enodes) 92.736 * * [simplify]: iters left: 3 (180 enodes) 92.782 * * [simplify]: iters left: 2 (313 enodes) 92.870 * * [simplify]: Extracting #0: cost 1 inf + 0 92.870 * * [simplify]: Extracting #1: cost 6 inf + 0 92.870 * * [simplify]: Extracting #2: cost 28 inf + 0 92.870 * * [simplify]: Extracting #3: cost 84 inf + 1 92.871 * * [simplify]: Extracting #4: cost 120 inf + 89 92.872 * * [simplify]: Extracting #5: cost 134 inf + 3278 92.874 * * [simplify]: Extracting #6: cost 109 inf + 8513 92.876 * * [simplify]: Extracting #7: cost 83 inf + 13209 92.883 * * [simplify]: Extracting #8: cost 29 inf + 52933 92.893 * * [simplify]: Extracting #9: cost 1 inf + 79390 92.903 * * [simplify]: Extracting #10: cost 0 inf + 79691 92.920 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (sqrt (pow (* (* n PI) 2) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 92.920 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (sqrt (pow (* (* n PI) 2) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 92.921 * * * * [progress]: [ 136 / 209 ] simplifiying candidate # 92.921 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (/ (- 1 (sqrt k)) 2))) 92.921 * * [simplify]: iters left: 6 (11 enodes) 92.925 * * [simplify]: iters left: 5 (40 enodes) 92.932 * * [simplify]: iters left: 4 (49 enodes) 92.942 * * [simplify]: iters left: 3 (51 enodes) 92.949 * * [simplify]: Extracting #0: cost 1 inf + 0 92.949 * * [simplify]: Extracting #1: cost 5 inf + 0 92.949 * * [simplify]: Extracting #2: cost 7 inf + 1 92.949 * * [simplify]: Extracting #3: cost 6 inf + 2 92.949 * * [simplify]: Extracting #4: cost 1 inf + 527 92.949 * * [simplify]: Extracting #5: cost 0 inf + 648 92.949 * [simplify]: Simplified to (fabs (cbrt k)) 92.949 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 92.950 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 92.950 * * [simplify]: iters left: 6 (17 enodes) 92.960 * * [simplify]: iters left: 5 (68 enodes) 92.981 * * [simplify]: iters left: 4 (108 enodes) 93.016 * * [simplify]: iters left: 3 (177 enodes) 93.056 * * [simplify]: iters left: 2 (331 enodes) 93.183 * * [simplify]: Extracting #0: cost 1 inf + 0 93.183 * * [simplify]: Extracting #1: cost 6 inf + 0 93.183 * * [simplify]: Extracting #2: cost 28 inf + 0 93.183 * * [simplify]: Extracting #3: cost 98 inf + 1 93.183 * * [simplify]: Extracting #4: cost 157 inf + 210 93.184 * * [simplify]: Extracting #5: cost 173 inf + 500 93.185 * * [simplify]: Extracting #6: cost 137 inf + 8427 93.192 * * [simplify]: Extracting #7: cost 61 inf + 32955 93.201 * * [simplify]: Extracting #8: cost 13 inf + 65402 93.211 * * [simplify]: Extracting #9: cost 0 inf + 76635 93.230 * * [simplify]: Extracting #10: cost 0 inf + 76553 93.249 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 93.249 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 93.250 * * * * [progress]: [ 137 / 209 ] simplifiying candidate # 93.250 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 93.250 * * [simplify]: iters left: 6 (19 enodes) 93.261 * * [simplify]: iters left: 5 (77 enodes) 93.284 * * [simplify]: iters left: 4 (122 enodes) 93.306 * * [simplify]: iters left: 3 (192 enodes) 93.374 * * [simplify]: iters left: 2 (338 enodes) 93.497 * * [simplify]: Extracting #0: cost 1 inf + 0 93.497 * * [simplify]: Extracting #1: cost 6 inf + 0 93.497 * * [simplify]: Extracting #2: cost 29 inf + 0 93.497 * * [simplify]: Extracting #3: cost 97 inf + 1 93.497 * * [simplify]: Extracting #4: cost 151 inf + 654 93.498 * * [simplify]: Extracting #5: cost 148 inf + 3649 93.501 * * [simplify]: Extracting #6: cost 78 inf + 21345 93.509 * * [simplify]: Extracting #7: cost 21 inf + 61407 93.519 * * [simplify]: Extracting #8: cost 0 inf + 82402 93.530 * * [simplify]: Extracting #9: cost 0 inf + 82050 93.541 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 93.541 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 93.541 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 93.541 * * [simplify]: iters left: 6 (18 enodes) 93.547 * * [simplify]: iters left: 5 (73 enodes) 93.574 * * [simplify]: iters left: 4 (118 enodes) 93.610 * * [simplify]: iters left: 3 (188 enodes) 93.672 * * [simplify]: iters left: 2 (330 enodes) 93.763 * * [simplify]: Extracting #0: cost 1 inf + 0 93.763 * * [simplify]: Extracting #1: cost 6 inf + 0 93.763 * * [simplify]: Extracting #2: cost 27 inf + 0 93.763 * * [simplify]: Extracting #3: cost 92 inf + 1 93.764 * * [simplify]: Extracting #4: cost 150 inf + 331 93.764 * * [simplify]: Extracting #5: cost 169 inf + 583 93.765 * * [simplify]: Extracting #6: cost 145 inf + 3423 93.768 * * [simplify]: Extracting #7: cost 76 inf + 22593 93.776 * * [simplify]: Extracting #8: cost 19 inf + 62584 93.796 * * [simplify]: Extracting #9: cost 0 inf + 82410 93.818 * * [simplify]: Extracting #10: cost 0 inf + 82287 93.839 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 93.839 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 93.840 * * * * [progress]: [ 138 / 209 ] simplifiying candidate # 93.840 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 93.840 * * [simplify]: iters left: 6 (20 enodes) 93.847 * * [simplify]: iters left: 5 (80 enodes) 93.859 * * [simplify]: iters left: 4 (124 enodes) 93.883 * * [simplify]: iters left: 3 (184 enodes) 93.922 * * [simplify]: iters left: 2 (311 enodes) 94.014 * * [simplify]: Extracting #0: cost 1 inf + 0 94.014 * * [simplify]: Extracting #1: cost 6 inf + 0 94.014 * * [simplify]: Extracting #2: cost 13 inf + 0 94.014 * * [simplify]: Extracting #3: cost 28 inf + 0 94.014 * * [simplify]: Extracting #4: cost 75 inf + 164 94.015 * * [simplify]: Extracting #5: cost 141 inf + 652 94.017 * * [simplify]: Extracting #6: cost 128 inf + 4752 94.024 * * [simplify]: Extracting #7: cost 62 inf + 24495 94.040 * * [simplify]: Extracting #8: cost 5 inf + 65463 94.054 * * [simplify]: Extracting #9: cost 0 inf + 68254 94.064 * * [simplify]: Extracting #10: cost 0 inf + 68215 94.077 * [simplify]: Simplified to (/ (/ (fabs (cbrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 94.078 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (fabs (cbrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 94.078 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 94.078 * * [simplify]: iters left: 6 (18 enodes) 94.088 * * [simplify]: iters left: 5 (71 enodes) 94.105 * * [simplify]: iters left: 4 (113 enodes) 94.127 * * [simplify]: iters left: 3 (173 enodes) 94.181 * * [simplify]: iters left: 2 (300 enodes) 94.250 * * [simplify]: Extracting #0: cost 1 inf + 0 94.250 * * [simplify]: Extracting #1: cost 4 inf + 0 94.250 * * [simplify]: Extracting #2: cost 8 inf + 0 94.250 * * [simplify]: Extracting #3: cost 23 inf + 0 94.250 * * [simplify]: Extracting #4: cost 70 inf + 2 94.251 * * [simplify]: Extracting #5: cost 138 inf + 87 94.251 * * [simplify]: Extracting #6: cost 153 inf + 462 94.253 * * [simplify]: Extracting #7: cost 104 inf + 10608 94.258 * * [simplify]: Extracting #8: cost 27 inf + 44722 94.271 * * [simplify]: Extracting #9: cost 2 inf + 61881 94.287 * * [simplify]: Extracting #10: cost 0 inf + 63351 94.304 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 94.304 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 94.304 * * * * [progress]: [ 139 / 209 ] simplifiying candidate # 94.304 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 94.305 * * [simplify]: iters left: 6 (19 enodes) 94.314 * * [simplify]: iters left: 5 (75 enodes) 94.338 * * [simplify]: iters left: 4 (114 enodes) 94.378 * * [simplify]: iters left: 3 (176 enodes) 94.411 * * [simplify]: iters left: 2 (319 enodes) 94.502 * * [simplify]: Extracting #0: cost 1 inf + 0 94.502 * * [simplify]: Extracting #1: cost 4 inf + 0 94.502 * * [simplify]: Extracting #2: cost 10 inf + 0 94.502 * * [simplify]: Extracting #3: cost 29 inf + 0 94.502 * * [simplify]: Extracting #4: cost 89 inf + 83 94.503 * * [simplify]: Extracting #5: cost 143 inf + 533 94.505 * * [simplify]: Extracting #6: cost 133 inf + 3813 94.511 * * [simplify]: Extracting #7: cost 66 inf + 18208 94.526 * * [simplify]: Extracting #8: cost 14 inf + 56347 94.539 * * [simplify]: Extracting #9: cost 0 inf + 68779 94.548 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 94.548 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 94.549 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 94.549 * * [simplify]: iters left: 6 (18 enodes) 94.554 * * [simplify]: iters left: 5 (71 enodes) 94.569 * * [simplify]: iters left: 4 (114 enodes) 94.588 * * [simplify]: iters left: 3 (174 enodes) 94.619 * * [simplify]: iters left: 2 (301 enodes) 94.691 * * [simplify]: Extracting #0: cost 1 inf + 0 94.691 * * [simplify]: Extracting #1: cost 4 inf + 0 94.691 * * [simplify]: Extracting #2: cost 9 inf + 0 94.691 * * [simplify]: Extracting #3: cost 28 inf + 0 94.691 * * [simplify]: Extracting #4: cost 82 inf + 83 94.692 * * [simplify]: Extracting #5: cost 137 inf + 412 94.693 * * [simplify]: Extracting #6: cost 152 inf + 666 94.696 * * [simplify]: Extracting #7: cost 103 inf + 9782 94.705 * * [simplify]: Extracting #8: cost 41 inf + 32035 94.718 * * [simplify]: Extracting #9: cost 11 inf + 53129 94.735 * * [simplify]: Extracting #10: cost 0 inf + 64356 94.756 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 94.756 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 94.757 * * * * [progress]: [ 140 / 209 ] simplifiying candidate # 94.757 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 94.757 * * [simplify]: iters left: 6 (6 enodes) 94.760 * * [simplify]: iters left: 5 (19 enodes) 94.767 * * [simplify]: iters left: 4 (23 enodes) 94.773 * * [simplify]: Extracting #0: cost 1 inf + 0 94.773 * * [simplify]: Extracting #1: cost 5 inf + 0 94.773 * * [simplify]: Extracting #2: cost 7 inf + 1 94.773 * * [simplify]: Extracting #3: cost 6 inf + 2 94.773 * * [simplify]: Extracting #4: cost 0 inf + 648 94.773 * [simplify]: Simplified to (fabs (cbrt k)) 94.773 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 94.774 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 94.774 * * [simplify]: iters left: 6 (17 enodes) 94.783 * * [simplify]: iters left: 5 (68 enodes) 94.802 * * [simplify]: iters left: 4 (108 enodes) 94.821 * * [simplify]: iters left: 3 (177 enodes) 94.889 * * [simplify]: iters left: 2 (331 enodes) 94.983 * * [simplify]: Extracting #0: cost 1 inf + 0 94.983 * * [simplify]: Extracting #1: cost 6 inf + 0 94.983 * * [simplify]: Extracting #2: cost 28 inf + 0 94.983 * * [simplify]: Extracting #3: cost 98 inf + 1 94.985 * * [simplify]: Extracting #4: cost 157 inf + 210 94.986 * * [simplify]: Extracting #5: cost 173 inf + 500 94.988 * * [simplify]: Extracting #6: cost 137 inf + 8427 95.001 * * [simplify]: Extracting #7: cost 61 inf + 32955 95.017 * * [simplify]: Extracting #8: cost 13 inf + 65402 95.027 * * [simplify]: Extracting #9: cost 0 inf + 76635 95.037 * * [simplify]: Extracting #10: cost 0 inf + 76553 95.047 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 95.047 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 95.047 * * * * [progress]: [ 141 / 209 ] simplifiying candidate # 95.047 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 95.048 * * [simplify]: iters left: 6 (19 enodes) 95.054 * * [simplify]: iters left: 5 (78 enodes) 95.075 * * [simplify]: iters left: 4 (125 enodes) 95.121 * * [simplify]: iters left: 3 (208 enodes) 95.192 * * [simplify]: iters left: 2 (389 enodes) 95.274 * * [simplify]: Extracting #0: cost 1 inf + 0 95.274 * * [simplify]: Extracting #1: cost 6 inf + 0 95.274 * * [simplify]: Extracting #2: cost 28 inf + 0 95.275 * * [simplify]: Extracting #3: cost 103 inf + 1 95.275 * * [simplify]: Extracting #4: cost 162 inf + 656 95.276 * * [simplify]: Extracting #5: cost 146 inf + 5534 95.281 * * [simplify]: Extracting #6: cost 82 inf + 17505 95.294 * * [simplify]: Extracting #7: cost 21 inf + 58769 95.311 * * [simplify]: Extracting #8: cost 0 inf + 76782 95.330 * * [simplify]: Extracting #9: cost 0 inf + 76260 95.340 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (* 1/4 (- 1 (sqrt k))))) 95.340 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (* 1/4 (- 1 (sqrt k))))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 95.340 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 95.340 * * [simplify]: iters left: 6 (18 enodes) 95.346 * * [simplify]: iters left: 5 (74 enodes) 95.358 * * [simplify]: iters left: 4 (121 enodes) 95.389 * * [simplify]: iters left: 3 (201 enodes) 95.452 * * [simplify]: iters left: 2 (379 enodes) 95.534 * * [simplify]: Extracting #0: cost 1 inf + 0 95.534 * * [simplify]: Extracting #1: cost 6 inf + 0 95.534 * * [simplify]: Extracting #2: cost 26 inf + 0 95.534 * * [simplify]: Extracting #3: cost 101 inf + 1 95.535 * * [simplify]: Extracting #4: cost 167 inf + 333 95.535 * * [simplify]: Extracting #5: cost 187 inf + 585 95.537 * * [simplify]: Extracting #6: cost 136 inf + 11790 95.542 * * [simplify]: Extracting #7: cost 61 inf + 32852 95.553 * * [simplify]: Extracting #8: cost 13 inf + 66880 95.574 * * [simplify]: Extracting #9: cost 0 inf + 79096 95.591 * * [simplify]: Extracting #10: cost 0 inf + 78966 95.602 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4)))) 95.602 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))))))) 95.602 * * * * [progress]: [ 142 / 209 ] simplifiying candidate # 95.603 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 95.603 * * [simplify]: iters left: 6 (13 enodes) 95.609 * * [simplify]: iters left: 5 (52 enodes) 95.621 * * [simplify]: iters left: 4 (84 enodes) 95.648 * * [simplify]: iters left: 3 (145 enodes) 95.702 * * [simplify]: iters left: 2 (294 enodes) 95.794 * * [simplify]: Extracting #0: cost 1 inf + 0 95.795 * * [simplify]: Extracting #1: cost 6 inf + 0 95.795 * * [simplify]: Extracting #2: cost 27 inf + 0 95.795 * * [simplify]: Extracting #3: cost 96 inf + 1 95.796 * * [simplify]: Extracting #4: cost 146 inf + 629 95.800 * * [simplify]: Extracting #5: cost 99 inf + 20197 95.812 * * [simplify]: Extracting #6: cost 27 inf + 55249 95.821 * * [simplify]: Extracting #7: cost 1 inf + 69643 95.829 * * [simplify]: Extracting #8: cost 0 inf + 70018 95.838 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 95.838 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 95.838 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 95.838 * * [simplify]: iters left: 6 (14 enodes) 95.845 * * [simplify]: iters left: 5 (56 enodes) 95.855 * * [simplify]: iters left: 4 (92 enodes) 95.870 * * [simplify]: iters left: 3 (151 enodes) 95.907 * * [simplify]: iters left: 2 (284 enodes) 95.976 * * [simplify]: Extracting #0: cost 1 inf + 0 95.976 * * [simplify]: Extracting #1: cost 6 inf + 0 95.976 * * [simplify]: Extracting #2: cost 27 inf + 0 95.976 * * [simplify]: Extracting #3: cost 92 inf + 1 95.976 * * [simplify]: Extracting #4: cost 143 inf + 253 95.978 * * [simplify]: Extracting #5: cost 114 inf + 6204 95.981 * * [simplify]: Extracting #6: cost 60 inf + 25120 95.995 * * [simplify]: Extracting #7: cost 6 inf + 68423 96.011 * * [simplify]: Extracting #8: cost 0 inf + 72187 96.020 * * [simplify]: Extracting #9: cost 0 inf + 71623 96.034 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 96.034 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 96.034 * * * * [progress]: [ 143 / 209 ] simplifiying candidate # 96.034 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 96.034 * * [simplify]: iters left: 6 (18 enodes) 96.040 * * [simplify]: iters left: 5 (71 enodes) 96.054 * * [simplify]: iters left: 4 (115 enodes) 96.086 * * [simplify]: iters left: 3 (179 enodes) 96.142 * * [simplify]: iters left: 2 (312 enodes) 96.260 * * [simplify]: Extracting #0: cost 1 inf + 0 96.260 * * [simplify]: Extracting #1: cost 6 inf + 0 96.261 * * [simplify]: Extracting #2: cost 27 inf + 0 96.261 * * [simplify]: Extracting #3: cost 83 inf + 1 96.261 * * [simplify]: Extracting #4: cost 105 inf + 49 96.263 * * [simplify]: Extracting #5: cost 86 inf + 3892 96.266 * * [simplify]: Extracting #6: cost 105 inf + 6268 96.270 * * [simplify]: Extracting #7: cost 108 inf + 8569 96.278 * * [simplify]: Extracting #8: cost 60 inf + 29688 96.295 * * [simplify]: Extracting #9: cost 14 inf + 69872 96.314 * * [simplify]: Extracting #10: cost 0 inf + 84212 96.330 * * [simplify]: Extracting #11: cost 0 inf + 83606 96.342 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) 96.342 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 96.342 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 96.342 * * [simplify]: iters left: 6 (17 enodes) 96.348 * * [simplify]: iters left: 5 (68 enodes) 96.370 * * [simplify]: iters left: 4 (108 enodes) 96.390 * * [simplify]: iters left: 3 (177 enodes) 96.447 * * [simplify]: iters left: 2 (331 enodes) 96.575 * * [simplify]: Extracting #0: cost 1 inf + 0 96.575 * * [simplify]: Extracting #1: cost 6 inf + 0 96.575 * * [simplify]: Extracting #2: cost 27 inf + 0 96.575 * * [simplify]: Extracting #3: cost 88 inf + 1 96.576 * * [simplify]: Extracting #4: cost 119 inf + 49 96.578 * * [simplify]: Extracting #5: cost 138 inf + 2343 96.582 * * [simplify]: Extracting #6: cost 107 inf + 8850 96.588 * * [simplify]: Extracting #7: cost 75 inf + 18676 96.601 * * [simplify]: Extracting #8: cost 26 inf + 55794 96.620 * * [simplify]: Extracting #9: cost 0 inf + 79572 96.640 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 96.640 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 96.640 * * * * [progress]: [ 144 / 209 ] simplifiying candidate # 96.641 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 96.641 * * [simplify]: iters left: 6 (17 enodes) 96.649 * * [simplify]: iters left: 5 (68 enodes) 96.671 * * [simplify]: iters left: 4 (109 enodes) 96.705 * * [simplify]: iters left: 3 (178 enodes) 96.743 * * [simplify]: iters left: 2 (332 enodes) 96.841 * * [simplify]: Extracting #0: cost 1 inf + 0 96.841 * * [simplify]: Extracting #1: cost 6 inf + 0 96.841 * * [simplify]: Extracting #2: cost 27 inf + 0 96.841 * * [simplify]: Extracting #3: cost 89 inf + 1 96.842 * * [simplify]: Extracting #4: cost 125 inf + 49 96.843 * * [simplify]: Extracting #5: cost 140 inf + 3286 96.845 * * [simplify]: Extracting #6: cost 104 inf + 9748 96.848 * * [simplify]: Extracting #7: cost 73 inf + 17684 96.855 * * [simplify]: Extracting #8: cost 19 inf + 60163 96.865 * * [simplify]: Extracting #9: cost 0 inf + 78877 96.877 * * [simplify]: Extracting #10: cost 0 inf + 78657 96.901 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 96.901 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 96.901 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 96.901 * * [simplify]: iters left: 6 (17 enodes) 96.910 * * [simplify]: iters left: 5 (68 enodes) 96.928 * * [simplify]: iters left: 4 (109 enodes) 96.947 * * [simplify]: iters left: 3 (178 enodes) 97.008 * * [simplify]: iters left: 2 (332 enodes) 97.138 * * [simplify]: Extracting #0: cost 1 inf + 0 97.138 * * [simplify]: Extracting #1: cost 6 inf + 0 97.138 * * [simplify]: Extracting #2: cost 27 inf + 0 97.138 * * [simplify]: Extracting #3: cost 89 inf + 1 97.139 * * [simplify]: Extracting #4: cost 125 inf + 49 97.140 * * [simplify]: Extracting #5: cost 140 inf + 3286 97.142 * * [simplify]: Extracting #6: cost 104 inf + 9748 97.145 * * [simplify]: Extracting #7: cost 73 inf + 17684 97.155 * * [simplify]: Extracting #8: cost 19 inf + 60163 97.164 * * [simplify]: Extracting #9: cost 0 inf + 78877 97.182 * * [simplify]: Extracting #10: cost 0 inf + 78657 97.192 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 97.192 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 97.193 * * * * [progress]: [ 145 / 209 ] simplifiying candidate # 97.193 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 1 (/ (- 1 (sqrt k)) 2))) 97.193 * * [simplify]: iters left: 6 (9 enodes) 97.196 * * [simplify]: iters left: 5 (33 enodes) 97.202 * * [simplify]: iters left: 4 (42 enodes) 97.213 * * [simplify]: iters left: 3 (44 enodes) 97.225 * * [simplify]: Extracting #0: cost 1 inf + 0 97.225 * * [simplify]: Extracting #1: cost 4 inf + 0 97.225 * * [simplify]: Extracting #2: cost 5 inf + 1 97.225 * * [simplify]: Extracting #3: cost 4 inf + 2 97.225 * * [simplify]: Extracting #4: cost 1 inf + 165 97.225 * * [simplify]: Extracting #5: cost 0 inf + 246 97.225 * [simplify]: Simplified to (sqrt (sqrt k)) 97.225 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 97.226 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 97.226 * * [simplify]: iters left: 6 (16 enodes) 97.234 * * [simplify]: iters left: 5 (65 enodes) 97.257 * * [simplify]: iters left: 4 (109 enodes) 97.296 * * [simplify]: iters left: 3 (177 enodes) 97.332 * * [simplify]: iters left: 2 (315 enodes) 97.427 * * [simplify]: Extracting #0: cost 1 inf + 0 97.427 * * [simplify]: Extracting #1: cost 6 inf + 0 97.427 * * [simplify]: Extracting #2: cost 29 inf + 0 97.427 * * [simplify]: Extracting #3: cost 95 inf + 1 97.428 * * [simplify]: Extracting #4: cost 149 inf + 499 97.429 * * [simplify]: Extracting #5: cost 117 inf + 7450 97.437 * * [simplify]: Extracting #6: cost 58 inf + 28144 97.451 * * [simplify]: Extracting #7: cost 19 inf + 57089 97.470 * * [simplify]: Extracting #8: cost 1 inf + 73567 97.489 * * [simplify]: Extracting #9: cost 0 inf + 74604 97.507 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 97.507 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 97.507 * * * * [progress]: [ 146 / 209 ] simplifiying candidate # 97.508 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 97.508 * * [simplify]: iters left: 6 (17 enodes) 97.520 * * [simplify]: iters left: 5 (70 enodes) 97.531 * * [simplify]: iters left: 4 (111 enodes) 97.550 * * [simplify]: iters left: 3 (184 enodes) 97.610 * * [simplify]: iters left: 2 (344 enodes) 97.743 * * [simplify]: Extracting #0: cost 1 inf + 0 97.743 * * [simplify]: Extracting #1: cost 6 inf + 0 97.743 * * [simplify]: Extracting #2: cost 27 inf + 0 97.743 * * [simplify]: Extracting #3: cost 97 inf + 1 97.744 * * [simplify]: Extracting #4: cost 149 inf + 621 97.747 * * [simplify]: Extracting #5: cost 139 inf + 4478 97.752 * * [simplify]: Extracting #6: cost 96 inf + 11295 97.763 * * [simplify]: Extracting #7: cost 46 inf + 36240 97.782 * * [simplify]: Extracting #8: cost 16 inf + 62835 97.804 * * [simplify]: Extracting #9: cost 1 inf + 78251 97.825 * * [simplify]: Extracting #10: cost 0 inf + 78995 97.842 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 97.842 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 97.842 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 97.842 * * [simplify]: iters left: 6 (17 enodes) 97.848 * * [simplify]: iters left: 5 (70 enodes) 97.859 * * [simplify]: iters left: 4 (111 enodes) 97.886 * * [simplify]: iters left: 3 (184 enodes) 97.928 * * [simplify]: iters left: 2 (344 enodes) 98.038 * * [simplify]: Extracting #0: cost 1 inf + 0 98.038 * * [simplify]: Extracting #1: cost 6 inf + 0 98.038 * * [simplify]: Extracting #2: cost 27 inf + 0 98.039 * * [simplify]: Extracting #3: cost 97 inf + 1 98.040 * * [simplify]: Extracting #4: cost 149 inf + 621 98.042 * * [simplify]: Extracting #5: cost 139 inf + 4478 98.044 * * [simplify]: Extracting #6: cost 96 inf + 11295 98.049 * * [simplify]: Extracting #7: cost 46 inf + 36240 98.057 * * [simplify]: Extracting #8: cost 16 inf + 62835 98.068 * * [simplify]: Extracting #9: cost 1 inf + 78251 98.078 * * [simplify]: Extracting #10: cost 0 inf + 78995 98.089 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 98.089 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 98.089 * * * * [progress]: [ 147 / 209 ] simplifiying candidate # 98.090 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 98.090 * * [simplify]: iters left: 6 (18 enodes) 98.098 * * [simplify]: iters left: 5 (73 enodes) 98.110 * * [simplify]: iters left: 4 (113 enodes) 98.128 * * [simplify]: iters left: 3 (175 enodes) 98.178 * * [simplify]: iters left: 2 (318 enodes) 98.299 * * [simplify]: Extracting #0: cost 1 inf + 0 98.299 * * [simplify]: Extracting #1: cost 6 inf + 0 98.299 * * [simplify]: Extracting #2: cost 12 inf + 0 98.299 * * [simplify]: Extracting #3: cost 27 inf + 0 98.299 * * [simplify]: Extracting #4: cost 78 inf + 43 98.300 * * [simplify]: Extracting #5: cost 141 inf + 578 98.303 * * [simplify]: Extracting #6: cost 125 inf + 5167 98.308 * * [simplify]: Extracting #7: cost 82 inf + 11312 98.315 * * [simplify]: Extracting #8: cost 55 inf + 25472 98.329 * * [simplify]: Extracting #9: cost 13 inf + 59451 98.352 * * [simplify]: Extracting #10: cost 0 inf + 72554 98.370 * [simplify]: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) 98.370 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 98.371 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 98.371 * * [simplify]: iters left: 6 (17 enodes) 98.380 * * [simplify]: iters left: 5 (68 enodes) 98.391 * * [simplify]: iters left: 4 (106 enodes) 98.409 * * [simplify]: iters left: 3 (171 enodes) 98.471 * * [simplify]: iters left: 2 (316 enodes) 98.589 * * [simplify]: Extracting #0: cost 1 inf + 0 98.589 * * [simplify]: Extracting #1: cost 4 inf + 0 98.589 * * [simplify]: Extracting #2: cost 8 inf + 0 98.589 * * [simplify]: Extracting #3: cost 23 inf + 0 98.590 * * [simplify]: Extracting #4: cost 73 inf + 2 98.590 * * [simplify]: Extracting #5: cost 143 inf + 48 98.593 * * [simplify]: Extracting #6: cost 125 inf + 4600 98.604 * * [simplify]: Extracting #7: cost 44 inf + 32679 98.619 * * [simplify]: Extracting #8: cost 2 inf + 63633 98.631 * * [simplify]: Extracting #9: cost 0 inf + 65112 98.640 * * [simplify]: Extracting #10: cost 0 inf + 64981 98.648 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 98.648 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 98.648 * * * * [progress]: [ 148 / 209 ] simplifiying candidate # 98.649 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 98.649 * * [simplify]: iters left: 6 (17 enodes) 98.654 * * [simplify]: iters left: 5 (68 enodes) 98.675 * * [simplify]: iters left: 4 (107 enodes) 98.709 * * [simplify]: iters left: 3 (172 enodes) 98.773 * * [simplify]: iters left: 2 (317 enodes) 98.898 * * [simplify]: Extracting #0: cost 1 inf + 0 98.898 * * [simplify]: Extracting #1: cost 4 inf + 0 98.898 * * [simplify]: Extracting #2: cost 9 inf + 0 98.899 * * [simplify]: Extracting #3: cost 28 inf + 0 98.899 * * [simplify]: Extracting #4: cost 86 inf + 43 98.900 * * [simplify]: Extracting #5: cost 135 inf + 703 98.903 * * [simplify]: Extracting #6: cost 109 inf + 6610 98.912 * * [simplify]: Extracting #7: cost 45 inf + 30693 98.927 * * [simplify]: Extracting #8: cost 5 inf + 59660 98.935 * * [simplify]: Extracting #9: cost 0 inf + 63623 98.944 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 98.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 98.945 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 98.945 * * [simplify]: iters left: 6 (17 enodes) 98.949 * * [simplify]: iters left: 5 (68 enodes) 98.967 * * [simplify]: iters left: 4 (107 enodes) 98.992 * * [simplify]: iters left: 3 (172 enodes) 99.040 * * [simplify]: iters left: 2 (317 enodes) 99.137 * * [simplify]: Extracting #0: cost 1 inf + 0 99.137 * * [simplify]: Extracting #1: cost 4 inf + 0 99.137 * * [simplify]: Extracting #2: cost 9 inf + 0 99.137 * * [simplify]: Extracting #3: cost 28 inf + 0 99.138 * * [simplify]: Extracting #4: cost 86 inf + 43 99.138 * * [simplify]: Extracting #5: cost 135 inf + 703 99.142 * * [simplify]: Extracting #6: cost 109 inf + 6610 99.150 * * [simplify]: Extracting #7: cost 45 inf + 30693 99.166 * * [simplify]: Extracting #8: cost 5 inf + 59660 99.184 * * [simplify]: Extracting #9: cost 0 inf + 63623 99.200 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 99.200 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 99.201 * * * * [progress]: [ 149 / 209 ] simplifiying candidate # 99.201 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 99.201 * * [simplify]: iters left: 4 (5 enodes) 99.203 * * [simplify]: iters left: 3 (15 enodes) 99.205 * * [simplify]: iters left: 2 (17 enodes) 99.208 * * [simplify]: Extracting #0: cost 1 inf + 0 99.208 * * [simplify]: Extracting #1: cost 4 inf + 0 99.208 * * [simplify]: Extracting #2: cost 5 inf + 1 99.208 * * [simplify]: Extracting #3: cost 4 inf + 2 99.208 * * [simplify]: Extracting #4: cost 1 inf + 165 99.208 * * [simplify]: Extracting #5: cost 0 inf + 246 99.208 * [simplify]: Simplified to (sqrt (sqrt k)) 99.208 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 99.208 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 99.208 * * [simplify]: iters left: 6 (16 enodes) 99.213 * * [simplify]: iters left: 5 (65 enodes) 99.227 * * [simplify]: iters left: 4 (109 enodes) 99.256 * * [simplify]: iters left: 3 (177 enodes) 99.313 * * [simplify]: iters left: 2 (315 enodes) 99.405 * * [simplify]: Extracting #0: cost 1 inf + 0 99.405 * * [simplify]: Extracting #1: cost 6 inf + 0 99.405 * * [simplify]: Extracting #2: cost 29 inf + 0 99.406 * * [simplify]: Extracting #3: cost 95 inf + 1 99.406 * * [simplify]: Extracting #4: cost 149 inf + 499 99.408 * * [simplify]: Extracting #5: cost 117 inf + 7450 99.412 * * [simplify]: Extracting #6: cost 58 inf + 28144 99.419 * * [simplify]: Extracting #7: cost 19 inf + 57089 99.428 * * [simplify]: Extracting #8: cost 1 inf + 73567 99.438 * * [simplify]: Extracting #9: cost 0 inf + 74604 99.460 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 99.461 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 99.461 * * * * [progress]: [ 150 / 209 ] simplifiying candidate # 99.461 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 99.461 * * [simplify]: iters left: 6 (17 enodes) 99.471 * * [simplify]: iters left: 5 (71 enodes) 99.493 * * [simplify]: iters left: 4 (115 enodes) 99.512 * * [simplify]: iters left: 3 (191 enodes) 99.554 * * [simplify]: iters left: 2 (360 enodes) 99.637 * * [simplify]: Extracting #0: cost 1 inf + 0 99.637 * * [simplify]: Extracting #1: cost 6 inf + 0 99.637 * * [simplify]: Extracting #2: cost 28 inf + 0 99.637 * * [simplify]: Extracting #3: cost 103 inf + 1 99.638 * * [simplify]: Extracting #4: cost 166 inf + 173 99.639 * * [simplify]: Extracting #5: cost 136 inf + 6759 99.643 * * [simplify]: Extracting #6: cost 77 inf + 20191 99.649 * * [simplify]: Extracting #7: cost 32 inf + 48106 99.668 * * [simplify]: Extracting #8: cost 3 inf + 72492 99.688 * * [simplify]: Extracting #9: cost 0 inf + 74391 99.708 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 99.708 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 99.709 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 99.709 * * [simplify]: iters left: 6 (17 enodes) 99.718 * * [simplify]: iters left: 5 (71 enodes) 99.741 * * [simplify]: iters left: 4 (115 enodes) 99.785 * * [simplify]: iters left: 3 (191 enodes) 99.821 * * [simplify]: iters left: 2 (360 enodes) 99.943 * * [simplify]: Extracting #0: cost 1 inf + 0 99.943 * * [simplify]: Extracting #1: cost 6 inf + 0 99.943 * * [simplify]: Extracting #2: cost 28 inf + 0 99.943 * * [simplify]: Extracting #3: cost 103 inf + 1 99.944 * * [simplify]: Extracting #4: cost 166 inf + 173 99.946 * * [simplify]: Extracting #5: cost 136 inf + 6759 99.949 * * [simplify]: Extracting #6: cost 77 inf + 20191 99.958 * * [simplify]: Extracting #7: cost 32 inf + 48106 99.979 * * [simplify]: Extracting #8: cost 3 inf + 72492 100.004 * * [simplify]: Extracting #9: cost 0 inf + 74391 100.021 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 100.021 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 100.021 * * * * [progress]: [ 151 / 209 ] simplifiying candidate # 100.021 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 100.022 * * [simplify]: iters left: 6 (13 enodes) 100.026 * * [simplify]: iters left: 5 (52 enodes) 100.035 * * [simplify]: iters left: 4 (84 enodes) 100.052 * * [simplify]: iters left: 3 (145 enodes) 100.085 * * [simplify]: iters left: 2 (294 enodes) 100.162 * * [simplify]: Extracting #0: cost 1 inf + 0 100.162 * * [simplify]: Extracting #1: cost 6 inf + 0 100.162 * * [simplify]: Extracting #2: cost 24 inf + 1 100.162 * * [simplify]: Extracting #3: cost 90 inf + 2 100.163 * * [simplify]: Extracting #4: cost 149 inf + 8 100.163 * * [simplify]: Extracting #5: cost 169 inf + 11 100.164 * * [simplify]: Extracting #6: cost 166 inf + 591 100.166 * * [simplify]: Extracting #7: cost 79 inf + 23822 100.174 * * [simplify]: Extracting #8: cost 8 inf + 65437 100.190 * * [simplify]: Extracting #9: cost 0 inf + 69336 100.210 * [simplify]: Simplified to (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 100.210 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 100.211 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 100.211 * * [simplify]: iters left: 6 (13 enodes) 100.219 * * [simplify]: iters left: 5 (53 enodes) 100.236 * * [simplify]: iters left: 4 (85 enodes) 100.264 * * [simplify]: iters left: 3 (149 enodes) 100.319 * * [simplify]: iters left: 2 (300 enodes) 100.411 * * [simplify]: Extracting #0: cost 1 inf + 0 100.411 * * [simplify]: Extracting #1: cost 6 inf + 0 100.411 * * [simplify]: Extracting #2: cost 27 inf + 0 100.412 * * [simplify]: Extracting #3: cost 93 inf + 43 100.412 * * [simplify]: Extracting #4: cost 146 inf + 336 100.413 * * [simplify]: Extracting #5: cost 115 inf + 7517 100.418 * * [simplify]: Extracting #6: cost 59 inf + 30828 100.425 * * [simplify]: Extracting #7: cost 12 inf + 65740 100.434 * * [simplify]: Extracting #8: cost 0 inf + 73063 100.447 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 100.447 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 100.447 * * * * [progress]: [ 152 / 209 ] simplifiying candidate # 100.448 * [simplify]: Simplifying (/ (sqrt 1) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 100.448 * * [simplify]: iters left: 6 (18 enodes) 100.453 * * [simplify]: iters left: 5 (71 enodes) 100.471 * * [simplify]: iters left: 4 (115 enodes) 100.505 * * [simplify]: iters left: 3 (179 enodes) 100.537 * * [simplify]: iters left: 2 (312 enodes) 100.610 * * [simplify]: Extracting #0: cost 1 inf + 0 100.610 * * [simplify]: Extracting #1: cost 6 inf + 0 100.610 * * [simplify]: Extracting #2: cost 24 inf + 1 100.611 * * [simplify]: Extracting #3: cost 77 inf + 2 100.611 * * [simplify]: Extracting #4: cost 103 inf + 7 100.611 * * [simplify]: Extracting #5: cost 116 inf + 10 100.612 * * [simplify]: Extracting #6: cost 152 inf + 52 100.613 * * [simplify]: Extracting #7: cost 128 inf + 5544 100.617 * * [simplify]: Extracting #8: cost 66 inf + 27681 100.628 * * [simplify]: Extracting #9: cost 17 inf + 65173 100.639 * * [simplify]: Extracting #10: cost 0 inf + 82859 100.651 * [simplify]: Simplified to (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 100.651 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 100.652 * [simplify]: Simplifying (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 100.652 * * [simplify]: iters left: 6 (16 enodes) 100.657 * * [simplify]: iters left: 5 (65 enodes) 100.667 * * [simplify]: iters left: 4 (105 enodes) 100.694 * * [simplify]: iters left: 3 (175 enodes) 100.760 * * [simplify]: iters left: 2 (329 enodes) 100.857 * * [simplify]: Extracting #0: cost 1 inf + 0 100.857 * * [simplify]: Extracting #1: cost 6 inf + 0 100.857 * * [simplify]: Extracting #2: cost 27 inf + 0 100.858 * * [simplify]: Extracting #3: cost 81 inf + 84 100.858 * * [simplify]: Extracting #4: cost 114 inf + 172 100.860 * * [simplify]: Extracting #5: cost 121 inf + 4225 100.866 * * [simplify]: Extracting #6: cost 109 inf + 8408 100.873 * * [simplify]: Extracting #7: cost 65 inf + 24355 100.887 * * [simplify]: Extracting #8: cost 18 inf + 60309 100.906 * * [simplify]: Extracting #9: cost 1 inf + 77610 100.926 * * [simplify]: Extracting #10: cost 0 inf + 78597 100.945 * [simplify]: Simplified to (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 100.945 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 100.946 * * * * [progress]: [ 153 / 209 ] simplifiying candidate # 100.946 * [simplify]: Simplifying (/ (sqrt 1) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 100.946 * * [simplify]: iters left: 6 (17 enodes) 100.956 * * [simplify]: iters left: 5 (68 enodes) 100.968 * * [simplify]: iters left: 4 (109 enodes) 100.989 * * [simplify]: iters left: 3 (178 enodes) 101.030 * * [simplify]: iters left: 2 (332 enodes) 101.115 * * [simplify]: Extracting #0: cost 1 inf + 0 101.115 * * [simplify]: Extracting #1: cost 6 inf + 0 101.115 * * [simplify]: Extracting #2: cost 24 inf + 1 101.115 * * [simplify]: Extracting #3: cost 83 inf + 2 101.116 * * [simplify]: Extracting #4: cost 123 inf + 7 101.116 * * [simplify]: Extracting #5: cost 168 inf + 10 101.117 * * [simplify]: Extracting #6: cost 177 inf + 179 101.118 * * [simplify]: Extracting #7: cost 134 inf + 6478 101.123 * * [simplify]: Extracting #8: cost 62 inf + 34177 101.132 * * [simplify]: Extracting #9: cost 4 inf + 74945 101.143 * * [simplify]: Extracting #10: cost 0 inf + 77368 101.156 * [simplify]: Simplified to (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 101.156 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 101.157 * [simplify]: Simplifying (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 101.157 * * [simplify]: iters left: 6 (16 enodes) 101.166 * * [simplify]: iters left: 5 (65 enodes) 101.192 * * [simplify]: iters left: 4 (106 enodes) 101.226 * * [simplify]: iters left: 3 (175 enodes) 101.261 * * [simplify]: iters left: 2 (326 enodes) 101.343 * * [simplify]: Extracting #0: cost 1 inf + 0 101.343 * * [simplify]: Extracting #1: cost 6 inf + 0 101.343 * * [simplify]: Extracting #2: cost 27 inf + 0 101.343 * * [simplify]: Extracting #3: cost 84 inf + 84 101.344 * * [simplify]: Extracting #4: cost 117 inf + 295 101.345 * * [simplify]: Extracting #5: cost 127 inf + 4351 101.347 * * [simplify]: Extracting #6: cost 103 inf + 9715 101.351 * * [simplify]: Extracting #7: cost 54 inf + 29809 101.365 * * [simplify]: Extracting #8: cost 13 inf + 65201 101.390 * * [simplify]: Extracting #9: cost 0 inf + 78888 101.410 * * [simplify]: Extracting #10: cost 0 inf + 78847 101.431 * [simplify]: Simplified to (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 101.431 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 101.432 * * * * [progress]: [ 154 / 209 ] simplifiying candidate # 101.432 * [simplify]: Simplifying (/ (sqrt 1) (pow 1 (/ (- 1 (sqrt k)) 2))) 101.432 * * [simplify]: iters left: 6 (9 enodes) 101.439 * * [simplify]: iters left: 5 (33 enodes) 101.450 * * [simplify]: iters left: 4 (42 enodes) 101.460 * * [simplify]: Extracting #0: cost 1 inf + 0 101.460 * * [simplify]: Extracting #1: cost 0 inf + 1 101.460 * [simplify]: Simplified to 1 101.460 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 101.460 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 101.460 * * [simplify]: iters left: 6 (15 enodes) 101.464 * * [simplify]: iters left: 5 (62 enodes) 101.475 * * [simplify]: iters left: 4 (102 enodes) 101.494 * * [simplify]: iters left: 3 (171 enodes) 101.541 * * [simplify]: iters left: 2 (325 enodes) 101.647 * * [simplify]: Extracting #0: cost 1 inf + 0 101.647 * * [simplify]: Extracting #1: cost 6 inf + 0 101.647 * * [simplify]: Extracting #2: cost 27 inf + 0 101.648 * * [simplify]: Extracting #3: cost 92 inf + 43 101.648 * * [simplify]: Extracting #4: cost 150 inf + 254 101.650 * * [simplify]: Extracting #5: cost 123 inf + 6029 101.653 * * [simplify]: Extracting #6: cost 76 inf + 16466 101.661 * * [simplify]: Extracting #7: cost 19 inf + 56560 101.679 * * [simplify]: Extracting #8: cost 0 inf + 73844 101.695 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 101.695 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 101.695 * * * * [progress]: [ 155 / 209 ] simplifiying candidate # 101.696 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 101.696 * * [simplify]: iters left: 6 (17 enodes) 101.702 * * [simplify]: iters left: 5 (70 enodes) 101.713 * * [simplify]: iters left: 4 (111 enodes) 101.736 * * [simplify]: iters left: 3 (184 enodes) 101.798 * * [simplify]: iters left: 2 (344 enodes) 101.880 * * [simplify]: Extracting #0: cost 1 inf + 0 101.880 * * [simplify]: Extracting #1: cost 6 inf + 0 101.880 * * [simplify]: Extracting #2: cost 25 inf + 1 101.880 * * [simplify]: Extracting #3: cost 91 inf + 2 101.881 * * [simplify]: Extracting #4: cost 152 inf + 7 101.881 * * [simplify]: Extracting #5: cost 174 inf + 179 101.882 * * [simplify]: Extracting #6: cost 153 inf + 2479 101.884 * * [simplify]: Extracting #7: cost 102 inf + 9812 101.892 * * [simplify]: Extracting #8: cost 46 inf + 35575 101.905 * * [simplify]: Extracting #9: cost 10 inf + 67335 101.915 * * [simplify]: Extracting #10: cost 0 inf + 77758 101.926 * * [simplify]: Extracting #11: cost 0 inf + 77406 101.948 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) 101.948 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 101.948 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 101.949 * * [simplify]: iters left: 6 (16 enodes) 101.958 * * [simplify]: iters left: 5 (67 enodes) 101.977 * * [simplify]: iters left: 4 (112 enodes) 101.995 * * [simplify]: iters left: 3 (185 enodes) 102.044 * * [simplify]: iters left: 2 (328 enodes) 102.147 * * [simplify]: Extracting #0: cost 1 inf + 0 102.147 * * [simplify]: Extracting #1: cost 6 inf + 0 102.147 * * [simplify]: Extracting #2: cost 28 inf + 0 102.148 * * [simplify]: Extracting #3: cost 89 inf + 43 102.148 * * [simplify]: Extracting #4: cost 147 inf + 418 102.151 * * [simplify]: Extracting #5: cost 135 inf + 5087 102.156 * * [simplify]: Extracting #6: cost 96 inf + 10504 102.169 * * [simplify]: Extracting #7: cost 51 inf + 35360 102.185 * * [simplify]: Extracting #8: cost 16 inf + 65151 102.204 * * [simplify]: Extracting #9: cost 0 inf + 81452 102.224 * * [simplify]: Extracting #10: cost 0 inf + 81059 102.235 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 102.235 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 102.235 * * * * [progress]: [ 156 / 209 ] simplifiying candidate # 102.235 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 102.235 * * [simplify]: iters left: 6 (18 enodes) 102.241 * * [simplify]: iters left: 5 (73 enodes) 102.255 * * [simplify]: iters left: 4 (116 enodes) 102.274 * * [simplify]: iters left: 3 (180 enodes) 102.328 * * [simplify]: iters left: 2 (323 enodes) 102.450 * * [simplify]: Extracting #0: cost 1 inf + 0 102.451 * * [simplify]: Extracting #1: cost 7 inf + 0 102.451 * * [simplify]: Extracting #2: cost 11 inf + 1 102.451 * * [simplify]: Extracting #3: cost 24 inf + 1 102.451 * * [simplify]: Extracting #4: cost 72 inf + 2 102.452 * * [simplify]: Extracting #5: cost 144 inf + 5 102.453 * * [simplify]: Extracting #6: cost 164 inf + 137 102.454 * * [simplify]: Extracting #7: cost 160 inf + 429 102.457 * * [simplify]: Extracting #8: cost 104 inf + 12981 102.468 * * [simplify]: Extracting #9: cost 28 inf + 47699 102.485 * * [simplify]: Extracting #10: cost 0 inf + 70762 102.504 * * [simplify]: Extracting #11: cost 0 inf + 70371 102.522 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 102.522 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 102.522 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 102.522 * * [simplify]: iters left: 6 (16 enodes) 102.527 * * [simplify]: iters left: 5 (65 enodes) 102.538 * * [simplify]: iters left: 4 (103 enodes) 102.564 * * [simplify]: iters left: 3 (169 enodes) 102.624 * * [simplify]: iters left: 2 (314 enodes) 102.706 * * [simplify]: Extracting #0: cost 1 inf + 0 102.707 * * [simplify]: Extracting #1: cost 4 inf + 0 102.707 * * [simplify]: Extracting #2: cost 8 inf + 0 102.707 * * [simplify]: Extracting #3: cost 19 inf + 1 102.707 * * [simplify]: Extracting #4: cost 71 inf + 84 102.707 * * [simplify]: Extracting #5: cost 138 inf + 171 102.709 * * [simplify]: Extracting #6: cost 112 inf + 7374 102.713 * * [simplify]: Extracting #7: cost 41 inf + 34695 102.721 * * [simplify]: Extracting #8: cost 3 inf + 64864 102.730 * * [simplify]: Extracting #9: cost 0 inf + 66972 102.739 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 102.739 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 102.739 * * * * [progress]: [ 157 / 209 ] simplifiying candidate # 102.739 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 102.740 * * [simplify]: iters left: 6 (17 enodes) 102.745 * * [simplify]: iters left: 5 (68 enodes) 102.760 * * [simplify]: iters left: 4 (107 enodes) 102.778 * * [simplify]: iters left: 3 (172 enodes) 102.810 * * [simplify]: iters left: 2 (317 enodes) 102.872 * * [simplify]: Extracting #0: cost 1 inf + 0 102.872 * * [simplify]: Extracting #1: cost 4 inf + 0 102.872 * * [simplify]: Extracting #2: cost 6 inf + 1 102.872 * * [simplify]: Extracting #3: cost 23 inf + 1 102.873 * * [simplify]: Extracting #4: cost 83 inf + 2 102.873 * * [simplify]: Extracting #5: cost 141 inf + 7 102.873 * * [simplify]: Extracting #6: cost 160 inf + 137 102.874 * * [simplify]: Extracting #7: cost 154 inf + 554 102.876 * * [simplify]: Extracting #8: cost 99 inf + 10224 102.884 * * [simplify]: Extracting #9: cost 27 inf + 40920 102.897 * * [simplify]: Extracting #10: cost 2 inf + 62725 102.907 * * [simplify]: Extracting #11: cost 0 inf + 64549 102.918 * [simplify]: Simplified to (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 102.918 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 102.919 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 102.919 * * [simplify]: iters left: 6 (16 enodes) 102.923 * * [simplify]: iters left: 5 (65 enodes) 102.940 * * [simplify]: iters left: 4 (104 enodes) 102.957 * * [simplify]: iters left: 3 (169 enodes) 102.997 * * [simplify]: iters left: 2 (314 enodes) 103.072 * * [simplify]: Extracting #0: cost 1 inf + 0 103.072 * * [simplify]: Extracting #1: cost 4 inf + 0 103.072 * * [simplify]: Extracting #2: cost 9 inf + 0 103.072 * * [simplify]: Extracting #3: cost 24 inf + 1 103.072 * * [simplify]: Extracting #4: cost 85 inf + 84 103.073 * * [simplify]: Extracting #5: cost 133 inf + 1237 103.074 * * [simplify]: Extracting #6: cost 108 inf + 7852 103.079 * * [simplify]: Extracting #7: cost 35 inf + 40114 103.090 * * [simplify]: Extracting #8: cost 4 inf + 65087 103.099 * * [simplify]: Extracting #9: cost 0 inf + 68233 103.108 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) 103.108 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))))) 103.108 * * * * [progress]: [ 158 / 209 ] simplifiying candidate # 103.108 * [simplify]: Simplifying (/ (sqrt 1) 1) 103.108 * * [simplify]: iters left: 3 (3 enodes) 103.111 * * [simplify]: iters left: 2 (9 enodes) 103.112 * * [simplify]: iters left: 1 (11 enodes) 103.114 * * [simplify]: Extracting #0: cost 1 inf + 0 103.114 * * [simplify]: Extracting #1: cost 0 inf + 1 103.114 * [simplify]: Simplified to 1 103.114 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 103.115 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 103.115 * * [simplify]: iters left: 6 (15 enodes) 103.119 * * [simplify]: iters left: 5 (62 enodes) 103.129 * * [simplify]: iters left: 4 (102 enodes) 103.147 * * [simplify]: iters left: 3 (171 enodes) 103.187 * * [simplify]: iters left: 2 (325 enodes) 103.316 * * [simplify]: Extracting #0: cost 1 inf + 0 103.316 * * [simplify]: Extracting #1: cost 6 inf + 0 103.316 * * [simplify]: Extracting #2: cost 27 inf + 0 103.317 * * [simplify]: Extracting #3: cost 92 inf + 43 103.317 * * [simplify]: Extracting #4: cost 150 inf + 254 103.319 * * [simplify]: Extracting #5: cost 123 inf + 6029 103.322 * * [simplify]: Extracting #6: cost 76 inf + 16466 103.328 * * [simplify]: Extracting #7: cost 19 inf + 56560 103.337 * * [simplify]: Extracting #8: cost 0 inf + 73844 103.347 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 103.347 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 103.347 * * * * [progress]: [ 159 / 209 ] simplifiying candidate # 103.347 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 103.347 * * [simplify]: iters left: 6 (17 enodes) 103.353 * * [simplify]: iters left: 5 (71 enodes) 103.376 * * [simplify]: iters left: 4 (115 enodes) 103.401 * * [simplify]: iters left: 3 (191 enodes) 103.451 * * [simplify]: iters left: 2 (359 enodes) 103.557 * * [simplify]: Extracting #0: cost 1 inf + 0 103.557 * * [simplify]: Extracting #1: cost 6 inf + 0 103.557 * * [simplify]: Extracting #2: cost 25 inf + 1 103.558 * * [simplify]: Extracting #3: cost 99 inf + 2 103.559 * * [simplify]: Extracting #4: cost 168 inf + 9 103.560 * * [simplify]: Extracting #5: cost 190 inf + 139 103.563 * * [simplify]: Extracting #6: cost 151 inf + 8191 103.575 * * [simplify]: Extracting #7: cost 46 inf + 47147 103.593 * * [simplify]: Extracting #8: cost 15 inf + 63952 103.614 * * [simplify]: Extracting #9: cost 0 inf + 74447 103.635 * * [simplify]: Extracting #10: cost 0 inf + 74014 103.661 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 103.661 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 103.662 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 103.662 * * [simplify]: iters left: 6 (16 enodes) 103.672 * * [simplify]: iters left: 5 (68 enodes) 103.692 * * [simplify]: iters left: 4 (112 enodes) 103.711 * * [simplify]: iters left: 3 (188 enodes) 103.761 * * [simplify]: iters left: 2 (356 enodes) 103.846 * * [simplify]: Extracting #0: cost 1 inf + 0 103.846 * * [simplify]: Extracting #1: cost 6 inf + 0 103.846 * * [simplify]: Extracting #2: cost 28 inf + 0 103.846 * * [simplify]: Extracting #3: cost 101 inf + 43 103.847 * * [simplify]: Extracting #4: cost 163 inf + 338 103.853 * * [simplify]: Extracting #5: cost 130 inf + 7670 103.861 * * [simplify]: Extracting #6: cost 69 inf + 24327 103.877 * * [simplify]: Extracting #7: cost 19 inf + 60063 103.891 * * [simplify]: Extracting #8: cost 0 inf + 76950 103.901 * * [simplify]: Extracting #9: cost 0 inf + 76598 103.912 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 103.912 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)))))) 103.912 * * * * [progress]: [ 160 / 209 ] simplifiying candidate # 103.912 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 103.912 * * [simplify]: iters left: 6 (13 enodes) 103.917 * * [simplify]: iters left: 5 (52 enodes) 103.926 * * [simplify]: iters left: 4 (84 enodes) 103.946 * * [simplify]: iters left: 3 (145 enodes) 103.987 * * [simplify]: iters left: 2 (294 enodes) 104.065 * * [simplify]: Extracting #0: cost 1 inf + 0 104.065 * * [simplify]: Extracting #1: cost 6 inf + 0 104.065 * * [simplify]: Extracting #2: cost 27 inf + 0 104.065 * * [simplify]: Extracting #3: cost 96 inf + 1 104.066 * * [simplify]: Extracting #4: cost 146 inf + 629 104.068 * * [simplify]: Extracting #5: cost 99 inf + 20197 104.075 * * [simplify]: Extracting #6: cost 27 inf + 55249 104.083 * * [simplify]: Extracting #7: cost 1 inf + 69643 104.099 * * [simplify]: Extracting #8: cost 0 inf + 70018 104.116 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 104.116 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.117 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 104.117 * * [simplify]: iters left: 6 (14 enodes) 104.121 * * [simplify]: iters left: 5 (56 enodes) 104.131 * * [simplify]: iters left: 4 (92 enodes) 104.146 * * [simplify]: iters left: 3 (151 enodes) 104.194 * * [simplify]: iters left: 2 (284 enodes) 104.268 * * [simplify]: Extracting #0: cost 1 inf + 0 104.268 * * [simplify]: Extracting #1: cost 6 inf + 0 104.268 * * [simplify]: Extracting #2: cost 27 inf + 0 104.269 * * [simplify]: Extracting #3: cost 92 inf + 1 104.269 * * [simplify]: Extracting #4: cost 143 inf + 253 104.270 * * [simplify]: Extracting #5: cost 114 inf + 6204 104.274 * * [simplify]: Extracting #6: cost 60 inf + 25120 104.289 * * [simplify]: Extracting #7: cost 6 inf + 68423 104.306 * * [simplify]: Extracting #8: cost 0 inf + 72187 104.325 * * [simplify]: Extracting #9: cost 0 inf + 71623 104.343 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 104.343 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.343 * * * * [progress]: [ 161 / 209 ] simplifiying candidate # 104.343 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 104.344 * * [simplify]: iters left: 6 (18 enodes) 104.353 * * [simplify]: iters left: 5 (71 enodes) 104.376 * * [simplify]: iters left: 4 (115 enodes) 104.411 * * [simplify]: iters left: 3 (179 enodes) 104.443 * * [simplify]: iters left: 2 (312 enodes) 104.563 * * [simplify]: Extracting #0: cost 1 inf + 0 104.563 * * [simplify]: Extracting #1: cost 6 inf + 0 104.563 * * [simplify]: Extracting #2: cost 27 inf + 0 104.564 * * [simplify]: Extracting #3: cost 83 inf + 1 104.564 * * [simplify]: Extracting #4: cost 105 inf + 49 104.566 * * [simplify]: Extracting #5: cost 86 inf + 3892 104.569 * * [simplify]: Extracting #6: cost 105 inf + 6268 104.573 * * [simplify]: Extracting #7: cost 108 inf + 8569 104.582 * * [simplify]: Extracting #8: cost 60 inf + 29688 104.598 * * [simplify]: Extracting #9: cost 14 inf + 69872 104.620 * * [simplify]: Extracting #10: cost 0 inf + 84212 104.643 * * [simplify]: Extracting #11: cost 0 inf + 83606 104.671 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) 104.671 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 104.672 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 104.672 * * [simplify]: iters left: 6 (17 enodes) 104.681 * * [simplify]: iters left: 5 (68 enodes) 104.703 * * [simplify]: iters left: 4 (108 enodes) 104.727 * * [simplify]: iters left: 3 (177 enodes) 104.765 * * [simplify]: iters left: 2 (331 enodes) 104.854 * * [simplify]: Extracting #0: cost 1 inf + 0 104.854 * * [simplify]: Extracting #1: cost 6 inf + 0 104.854 * * [simplify]: Extracting #2: cost 27 inf + 0 104.855 * * [simplify]: Extracting #3: cost 88 inf + 1 104.855 * * [simplify]: Extracting #4: cost 119 inf + 49 104.856 * * [simplify]: Extracting #5: cost 138 inf + 2343 104.861 * * [simplify]: Extracting #6: cost 107 inf + 8850 104.867 * * [simplify]: Extracting #7: cost 75 inf + 18676 104.884 * * [simplify]: Extracting #8: cost 26 inf + 55794 104.904 * * [simplify]: Extracting #9: cost 0 inf + 79572 104.924 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 104.924 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 104.924 * * * * [progress]: [ 162 / 209 ] simplifiying candidate # 104.924 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 104.925 * * [simplify]: iters left: 6 (17 enodes) 104.933 * * [simplify]: iters left: 5 (68 enodes) 104.955 * * [simplify]: iters left: 4 (109 enodes) 104.990 * * [simplify]: iters left: 3 (178 enodes) 105.038 * * [simplify]: iters left: 2 (332 enodes) 105.116 * * [simplify]: Extracting #0: cost 1 inf + 0 105.116 * * [simplify]: Extracting #1: cost 6 inf + 0 105.116 * * [simplify]: Extracting #2: cost 27 inf + 0 105.116 * * [simplify]: Extracting #3: cost 89 inf + 1 105.117 * * [simplify]: Extracting #4: cost 125 inf + 49 105.117 * * [simplify]: Extracting #5: cost 140 inf + 3286 105.120 * * [simplify]: Extracting #6: cost 104 inf + 9748 105.123 * * [simplify]: Extracting #7: cost 73 inf + 17684 105.135 * * [simplify]: Extracting #8: cost 19 inf + 60163 105.155 * * [simplify]: Extracting #9: cost 0 inf + 78877 105.166 * * [simplify]: Extracting #10: cost 0 inf + 78657 105.176 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 105.176 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 105.177 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 105.177 * * [simplify]: iters left: 6 (17 enodes) 105.181 * * [simplify]: iters left: 5 (68 enodes) 105.198 * * [simplify]: iters left: 4 (109 enodes) 105.219 * * [simplify]: iters left: 3 (178 enodes) 105.260 * * [simplify]: iters left: 2 (332 enodes) 105.384 * * [simplify]: Extracting #0: cost 1 inf + 0 105.384 * * [simplify]: Extracting #1: cost 6 inf + 0 105.384 * * [simplify]: Extracting #2: cost 27 inf + 0 105.385 * * [simplify]: Extracting #3: cost 89 inf + 1 105.385 * * [simplify]: Extracting #4: cost 125 inf + 49 105.387 * * [simplify]: Extracting #5: cost 140 inf + 3286 105.392 * * [simplify]: Extracting #6: cost 104 inf + 9748 105.398 * * [simplify]: Extracting #7: cost 73 inf + 17684 105.407 * * [simplify]: Extracting #8: cost 19 inf + 60163 105.416 * * [simplify]: Extracting #9: cost 0 inf + 78877 105.427 * * [simplify]: Extracting #10: cost 0 inf + 78657 105.450 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 105.450 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 105.450 * * * * [progress]: [ 163 / 209 ] simplifiying candidate # 105.451 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 1 (/ (- 1 (sqrt k)) 2))) 105.451 * * [simplify]: iters left: 6 (9 enodes) 105.456 * * [simplify]: iters left: 5 (33 enodes) 105.462 * * [simplify]: iters left: 4 (42 enodes) 105.469 * * [simplify]: iters left: 3 (44 enodes) 105.474 * * [simplify]: Extracting #0: cost 1 inf + 0 105.474 * * [simplify]: Extracting #1: cost 4 inf + 0 105.474 * * [simplify]: Extracting #2: cost 5 inf + 1 105.474 * * [simplify]: Extracting #3: cost 4 inf + 2 105.474 * * [simplify]: Extracting #4: cost 1 inf + 165 105.474 * * [simplify]: Extracting #5: cost 0 inf + 246 105.475 * [simplify]: Simplified to (sqrt (sqrt k)) 105.475 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 105.475 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 105.475 * * [simplify]: iters left: 6 (16 enodes) 105.479 * * [simplify]: iters left: 5 (65 enodes) 105.490 * * [simplify]: iters left: 4 (109 enodes) 105.512 * * [simplify]: iters left: 3 (177 enodes) 105.573 * * [simplify]: iters left: 2 (315 enodes) 105.633 * * [simplify]: Extracting #0: cost 1 inf + 0 105.633 * * [simplify]: Extracting #1: cost 6 inf + 0 105.636 * * [simplify]: Extracting #2: cost 29 inf + 0 105.637 * * [simplify]: Extracting #3: cost 95 inf + 1 105.637 * * [simplify]: Extracting #4: cost 149 inf + 499 105.639 * * [simplify]: Extracting #5: cost 117 inf + 7450 105.643 * * [simplify]: Extracting #6: cost 58 inf + 28144 105.650 * * [simplify]: Extracting #7: cost 19 inf + 57089 105.660 * * [simplify]: Extracting #8: cost 1 inf + 73567 105.678 * * [simplify]: Extracting #9: cost 0 inf + 74604 105.697 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 105.697 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 105.697 * * * * [progress]: [ 164 / 209 ] simplifiying candidate # 105.697 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 105.697 * * [simplify]: iters left: 6 (17 enodes) 105.707 * * [simplify]: iters left: 5 (70 enodes) 105.729 * * [simplify]: iters left: 4 (111 enodes) 105.764 * * [simplify]: iters left: 3 (184 enodes) 105.831 * * [simplify]: iters left: 2 (344 enodes) 105.924 * * [simplify]: Extracting #0: cost 1 inf + 0 105.924 * * [simplify]: Extracting #1: cost 6 inf + 0 105.924 * * [simplify]: Extracting #2: cost 27 inf + 0 105.924 * * [simplify]: Extracting #3: cost 97 inf + 1 105.925 * * [simplify]: Extracting #4: cost 149 inf + 621 105.928 * * [simplify]: Extracting #5: cost 139 inf + 4478 105.933 * * [simplify]: Extracting #6: cost 96 inf + 11295 105.939 * * [simplify]: Extracting #7: cost 46 inf + 36240 105.946 * * [simplify]: Extracting #8: cost 16 inf + 62835 105.957 * * [simplify]: Extracting #9: cost 1 inf + 78251 105.970 * * [simplify]: Extracting #10: cost 0 inf + 78995 105.996 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 105.996 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 105.997 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 105.997 * * [simplify]: iters left: 6 (17 enodes) 106.007 * * [simplify]: iters left: 5 (70 enodes) 106.026 * * [simplify]: iters left: 4 (111 enodes) 106.045 * * [simplify]: iters left: 3 (184 enodes) 106.090 * * [simplify]: iters left: 2 (344 enodes) 106.184 * * [simplify]: Extracting #0: cost 1 inf + 0 106.184 * * [simplify]: Extracting #1: cost 6 inf + 0 106.184 * * [simplify]: Extracting #2: cost 27 inf + 0 106.185 * * [simplify]: Extracting #3: cost 97 inf + 1 106.185 * * [simplify]: Extracting #4: cost 149 inf + 621 106.187 * * [simplify]: Extracting #5: cost 139 inf + 4478 106.189 * * [simplify]: Extracting #6: cost 96 inf + 11295 106.197 * * [simplify]: Extracting #7: cost 46 inf + 36240 106.205 * * [simplify]: Extracting #8: cost 16 inf + 62835 106.217 * * [simplify]: Extracting #9: cost 1 inf + 78251 106.239 * * [simplify]: Extracting #10: cost 0 inf + 78995 106.251 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 106.251 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 106.251 * * * * [progress]: [ 165 / 209 ] simplifiying candidate # 106.251 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 106.251 * * [simplify]: iters left: 6 (18 enodes) 106.256 * * [simplify]: iters left: 5 (73 enodes) 106.268 * * [simplify]: iters left: 4 (113 enodes) 106.290 * * [simplify]: iters left: 3 (175 enodes) 106.339 * * [simplify]: iters left: 2 (318 enodes) 106.424 * * [simplify]: Extracting #0: cost 1 inf + 0 106.424 * * [simplify]: Extracting #1: cost 6 inf + 0 106.424 * * [simplify]: Extracting #2: cost 12 inf + 0 106.424 * * [simplify]: Extracting #3: cost 27 inf + 0 106.425 * * [simplify]: Extracting #4: cost 78 inf + 43 106.426 * * [simplify]: Extracting #5: cost 141 inf + 578 106.428 * * [simplify]: Extracting #6: cost 125 inf + 5167 106.434 * * [simplify]: Extracting #7: cost 82 inf + 11312 106.442 * * [simplify]: Extracting #8: cost 55 inf + 25472 106.456 * * [simplify]: Extracting #9: cost 13 inf + 59451 106.475 * * [simplify]: Extracting #10: cost 0 inf + 72554 106.495 * [simplify]: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) 106.495 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 106.495 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 106.495 * * [simplify]: iters left: 6 (17 enodes) 106.505 * * [simplify]: iters left: 5 (68 enodes) 106.527 * * [simplify]: iters left: 4 (106 enodes) 106.565 * * [simplify]: iters left: 3 (171 enodes) 106.609 * * [simplify]: iters left: 2 (316 enodes) 106.686 * * [simplify]: Extracting #0: cost 1 inf + 0 106.686 * * [simplify]: Extracting #1: cost 4 inf + 0 106.686 * * [simplify]: Extracting #2: cost 8 inf + 0 106.686 * * [simplify]: Extracting #3: cost 23 inf + 0 106.686 * * [simplify]: Extracting #4: cost 73 inf + 2 106.687 * * [simplify]: Extracting #5: cost 143 inf + 48 106.688 * * [simplify]: Extracting #6: cost 125 inf + 4600 106.692 * * [simplify]: Extracting #7: cost 44 inf + 32679 106.699 * * [simplify]: Extracting #8: cost 2 inf + 63633 106.708 * * [simplify]: Extracting #9: cost 0 inf + 65112 106.720 * * [simplify]: Extracting #10: cost 0 inf + 64981 106.732 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 106.732 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 106.733 * * * * [progress]: [ 166 / 209 ] simplifiying candidate # 106.733 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 106.733 * * [simplify]: iters left: 6 (17 enodes) 106.738 * * [simplify]: iters left: 5 (68 enodes) 106.754 * * [simplify]: iters left: 4 (107 enodes) 106.788 * * [simplify]: iters left: 3 (172 enodes) 106.825 * * [simplify]: iters left: 2 (317 enodes) 106.933 * * [simplify]: Extracting #0: cost 1 inf + 0 106.933 * * [simplify]: Extracting #1: cost 4 inf + 0 106.933 * * [simplify]: Extracting #2: cost 9 inf + 0 106.933 * * [simplify]: Extracting #3: cost 28 inf + 0 106.933 * * [simplify]: Extracting #4: cost 86 inf + 43 106.934 * * [simplify]: Extracting #5: cost 135 inf + 703 106.937 * * [simplify]: Extracting #6: cost 109 inf + 6610 106.946 * * [simplify]: Extracting #7: cost 45 inf + 30693 106.957 * * [simplify]: Extracting #8: cost 5 inf + 59660 106.970 * * [simplify]: Extracting #9: cost 0 inf + 63623 106.979 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 106.979 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 106.979 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 106.979 * * [simplify]: iters left: 6 (17 enodes) 106.984 * * [simplify]: iters left: 5 (68 enodes) 107.004 * * [simplify]: iters left: 4 (107 enodes) 107.039 * * [simplify]: iters left: 3 (172 enodes) 107.099 * * [simplify]: iters left: 2 (317 enodes) 107.173 * * [simplify]: Extracting #0: cost 1 inf + 0 107.173 * * [simplify]: Extracting #1: cost 4 inf + 0 107.173 * * [simplify]: Extracting #2: cost 9 inf + 0 107.173 * * [simplify]: Extracting #3: cost 28 inf + 0 107.173 * * [simplify]: Extracting #4: cost 86 inf + 43 107.173 * * [simplify]: Extracting #5: cost 135 inf + 703 107.175 * * [simplify]: Extracting #6: cost 109 inf + 6610 107.179 * * [simplify]: Extracting #7: cost 45 inf + 30693 107.198 * * [simplify]: Extracting #8: cost 5 inf + 59660 107.215 * * [simplify]: Extracting #9: cost 0 inf + 63623 107.232 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 107.233 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 107.233 * * * * [progress]: [ 167 / 209 ] simplifiying candidate # 107.233 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 107.233 * * [simplify]: iters left: 4 (5 enodes) 107.236 * * [simplify]: iters left: 3 (15 enodes) 107.240 * * [simplify]: iters left: 2 (17 enodes) 107.245 * * [simplify]: Extracting #0: cost 1 inf + 0 107.245 * * [simplify]: Extracting #1: cost 4 inf + 0 107.245 * * [simplify]: Extracting #2: cost 5 inf + 1 107.245 * * [simplify]: Extracting #3: cost 4 inf + 2 107.245 * * [simplify]: Extracting #4: cost 1 inf + 165 107.245 * * [simplify]: Extracting #5: cost 0 inf + 246 107.246 * [simplify]: Simplified to (sqrt (sqrt k)) 107.246 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 107.246 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 107.246 * * [simplify]: iters left: 6 (16 enodes) 107.255 * * [simplify]: iters left: 5 (65 enodes) 107.276 * * [simplify]: iters left: 4 (109 enodes) 107.311 * * [simplify]: iters left: 3 (177 enodes) 107.374 * * [simplify]: iters left: 2 (315 enodes) 107.459 * * [simplify]: Extracting #0: cost 1 inf + 0 107.459 * * [simplify]: Extracting #1: cost 6 inf + 0 107.459 * * [simplify]: Extracting #2: cost 29 inf + 0 107.459 * * [simplify]: Extracting #3: cost 95 inf + 1 107.459 * * [simplify]: Extracting #4: cost 149 inf + 499 107.461 * * [simplify]: Extracting #5: cost 117 inf + 7450 107.465 * * [simplify]: Extracting #6: cost 58 inf + 28144 107.475 * * [simplify]: Extracting #7: cost 19 inf + 57089 107.493 * * [simplify]: Extracting #8: cost 1 inf + 73567 107.505 * * [simplify]: Extracting #9: cost 0 inf + 74604 107.515 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 107.515 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 107.515 * * * * [progress]: [ 168 / 209 ] simplifiying candidate # 107.515 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 107.516 * * [simplify]: iters left: 6 (17 enodes) 107.521 * * [simplify]: iters left: 5 (71 enodes) 107.533 * * [simplify]: iters left: 4 (115 enodes) 107.563 * * [simplify]: iters left: 3 (191 enodes) 107.632 * * [simplify]: iters left: 2 (360 enodes) 107.748 * * [simplify]: Extracting #0: cost 1 inf + 0 107.748 * * [simplify]: Extracting #1: cost 6 inf + 0 107.748 * * [simplify]: Extracting #2: cost 28 inf + 0 107.749 * * [simplify]: Extracting #3: cost 103 inf + 1 107.750 * * [simplify]: Extracting #4: cost 166 inf + 173 107.753 * * [simplify]: Extracting #5: cost 136 inf + 6759 107.760 * * [simplify]: Extracting #6: cost 77 inf + 20191 107.773 * * [simplify]: Extracting #7: cost 32 inf + 48106 107.792 * * [simplify]: Extracting #8: cost 3 inf + 72492 107.817 * * [simplify]: Extracting #9: cost 0 inf + 74391 107.827 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 107.827 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 107.828 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 107.828 * * [simplify]: iters left: 6 (17 enodes) 107.833 * * [simplify]: iters left: 5 (71 enodes) 107.845 * * [simplify]: iters left: 4 (115 enodes) 107.876 * * [simplify]: iters left: 3 (191 enodes) 107.922 * * [simplify]: iters left: 2 (360 enodes) 108.034 * * [simplify]: Extracting #0: cost 1 inf + 0 108.034 * * [simplify]: Extracting #1: cost 6 inf + 0 108.034 * * [simplify]: Extracting #2: cost 28 inf + 0 108.034 * * [simplify]: Extracting #3: cost 103 inf + 1 108.035 * * [simplify]: Extracting #4: cost 166 inf + 173 108.038 * * [simplify]: Extracting #5: cost 136 inf + 6759 108.045 * * [simplify]: Extracting #6: cost 77 inf + 20191 108.059 * * [simplify]: Extracting #7: cost 32 inf + 48106 108.078 * * [simplify]: Extracting #8: cost 3 inf + 72492 108.098 * * [simplify]: Extracting #9: cost 0 inf + 74391 108.118 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 108.118 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 108.119 * * * * [progress]: [ 169 / 209 ] simplifiying candidate # 108.119 * [simplify]: Simplifying (/ 1 (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 108.119 * * [simplify]: iters left: 6 (12 enodes) 108.126 * * [simplify]: iters left: 5 (49 enodes) 108.143 * * [simplify]: iters left: 4 (85 enodes) 108.177 * * [simplify]: iters left: 3 (148 enodes) 108.230 * * [simplify]: iters left: 2 (286 enodes) 108.326 * * [simplify]: Extracting #0: cost 1 inf + 0 108.326 * * [simplify]: Extracting #1: cost 6 inf + 0 108.327 * * [simplify]: Extracting #2: cost 26 inf + 1 108.327 * * [simplify]: Extracting #3: cost 93 inf + 2 108.327 * * [simplify]: Extracting #4: cost 148 inf + 8 108.328 * * [simplify]: Extracting #5: cost 168 inf + 11 108.328 * * [simplify]: Extracting #6: cost 160 inf + 1164 108.332 * * [simplify]: Extracting #7: cost 89 inf + 16167 108.344 * * [simplify]: Extracting #8: cost 13 inf + 59273 108.362 * * [simplify]: Extracting #9: cost 0 inf + 70607 108.380 * [simplify]: Simplified to (/ 1 (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 108.380 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 108.380 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 108.381 * * [simplify]: iters left: 6 (13 enodes) 108.388 * * [simplify]: iters left: 5 (53 enodes) 108.400 * * [simplify]: iters left: 4 (85 enodes) 108.416 * * [simplify]: iters left: 3 (149 enodes) 108.463 * * [simplify]: iters left: 2 (300 enodes) 108.542 * * [simplify]: Extracting #0: cost 1 inf + 0 108.542 * * [simplify]: Extracting #1: cost 6 inf + 0 108.542 * * [simplify]: Extracting #2: cost 27 inf + 0 108.542 * * [simplify]: Extracting #3: cost 93 inf + 43 108.543 * * [simplify]: Extracting #4: cost 146 inf + 336 108.544 * * [simplify]: Extracting #5: cost 115 inf + 7517 108.548 * * [simplify]: Extracting #6: cost 59 inf + 30828 108.556 * * [simplify]: Extracting #7: cost 12 inf + 65740 108.567 * * [simplify]: Extracting #8: cost 0 inf + 73063 108.576 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 108.576 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 108.576 * * * * [progress]: [ 170 / 209 ] simplifiying candidate # 108.576 * [simplify]: Simplifying (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 108.577 * * [simplify]: iters left: 6 (17 enodes) 108.582 * * [simplify]: iters left: 5 (68 enodes) 108.593 * * [simplify]: iters left: 4 (108 enodes) 108.633 * * [simplify]: iters left: 3 (177 enodes) 108.669 * * [simplify]: iters left: 2 (331 enodes) 108.797 * * [simplify]: Extracting #0: cost 1 inf + 0 108.797 * * [simplify]: Extracting #1: cost 6 inf + 0 108.797 * * [simplify]: Extracting #2: cost 24 inf + 1 108.798 * * [simplify]: Extracting #3: cost 82 inf + 2 108.798 * * [simplify]: Extracting #4: cost 108 inf + 7 108.799 * * [simplify]: Extracting #5: cost 122 inf + 10 108.800 * * [simplify]: Extracting #6: cost 160 inf + 52 108.803 * * [simplify]: Extracting #7: cost 138 inf + 4394 108.809 * * [simplify]: Extracting #8: cost 81 inf + 18059 108.824 * * [simplify]: Extracting #9: cost 22 inf + 60205 108.841 * * [simplify]: Extracting #10: cost 0 inf + 82470 108.853 * * [simplify]: Extracting #11: cost 0 inf + 82347 108.873 * [simplify]: Simplified to (/ 1 (pow (* (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k)))) (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 108.873 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k)))) (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 108.873 * [simplify]: Simplifying (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 108.874 * * [simplify]: iters left: 6 (16 enodes) 108.878 * * [simplify]: iters left: 5 (65 enodes) 108.889 * * [simplify]: iters left: 4 (105 enodes) 108.910 * * [simplify]: iters left: 3 (175 enodes) 108.951 * * [simplify]: iters left: 2 (329 enodes) 109.034 * * [simplify]: Extracting #0: cost 1 inf + 0 109.034 * * [simplify]: Extracting #1: cost 6 inf + 0 109.034 * * [simplify]: Extracting #2: cost 27 inf + 0 109.034 * * [simplify]: Extracting #3: cost 81 inf + 84 109.034 * * [simplify]: Extracting #4: cost 114 inf + 172 109.035 * * [simplify]: Extracting #5: cost 121 inf + 4225 109.037 * * [simplify]: Extracting #6: cost 109 inf + 8408 109.041 * * [simplify]: Extracting #7: cost 65 inf + 24355 109.059 * * [simplify]: Extracting #8: cost 18 inf + 60309 109.078 * * [simplify]: Extracting #9: cost 1 inf + 77610 109.098 * * [simplify]: Extracting #10: cost 0 inf + 78597 109.118 * [simplify]: Simplified to (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 109.118 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 109.118 * * * * [progress]: [ 171 / 209 ] simplifiying candidate # 109.118 * [simplify]: Simplifying (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 109.119 * * [simplify]: iters left: 6 (16 enodes) 109.127 * * [simplify]: iters left: 5 (65 enodes) 109.138 * * [simplify]: iters left: 4 (106 enodes) 109.156 * * [simplify]: iters left: 3 (175 enodes) 109.197 * * [simplify]: iters left: 2 (326 enodes) 109.291 * * [simplify]: Extracting #0: cost 1 inf + 0 109.292 * * [simplify]: Extracting #1: cost 6 inf + 0 109.292 * * [simplify]: Extracting #2: cost 24 inf + 1 109.292 * * [simplify]: Extracting #3: cost 84 inf + 2 109.293 * * [simplify]: Extracting #4: cost 121 inf + 7 109.294 * * [simplify]: Extracting #5: cost 166 inf + 10 109.295 * * [simplify]: Extracting #6: cost 170 inf + 710 109.299 * * [simplify]: Extracting #7: cost 97 inf + 14078 109.313 * * [simplify]: Extracting #8: cost 21 inf + 61656 109.334 * * [simplify]: Extracting #9: cost 0 inf + 80277 109.355 * * [simplify]: Extracting #10: cost 0 inf + 79382 109.376 * * [simplify]: Extracting #11: cost 0 inf + 79300 109.398 * [simplify]: Simplified to (/ 1 (pow (sqrt (pow (* PI (* 2 n)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 109.398 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* PI (* 2 n)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 109.398 * [simplify]: Simplifying (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 109.399 * * [simplify]: iters left: 6 (16 enodes) 109.407 * * [simplify]: iters left: 5 (65 enodes) 109.428 * * [simplify]: iters left: 4 (106 enodes) 109.452 * * [simplify]: iters left: 3 (175 enodes) 109.498 * * [simplify]: iters left: 2 (326 enodes) 109.573 * * [simplify]: Extracting #0: cost 1 inf + 0 109.573 * * [simplify]: Extracting #1: cost 6 inf + 0 109.573 * * [simplify]: Extracting #2: cost 27 inf + 0 109.573 * * [simplify]: Extracting #3: cost 84 inf + 84 109.573 * * [simplify]: Extracting #4: cost 117 inf + 295 109.576 * * [simplify]: Extracting #5: cost 127 inf + 4351 109.581 * * [simplify]: Extracting #6: cost 103 inf + 9715 109.590 * * [simplify]: Extracting #7: cost 54 inf + 29809 109.597 * * [simplify]: Extracting #8: cost 13 inf + 65201 109.607 * * [simplify]: Extracting #9: cost 0 inf + 78888 109.619 * * [simplify]: Extracting #10: cost 0 inf + 78847 110.007 * [simplify]: Simplified to (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 110.007 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 110.008 * * * * [progress]: [ 172 / 209 ] simplifiying candidate # 110.008 * [simplify]: Simplifying (/ 1 (pow 1 (/ (- 1 (sqrt k)) 2))) 110.008 * * [simplify]: iters left: 6 (8 enodes) 110.015 * * [simplify]: iters left: 5 (30 enodes) 110.023 * * [simplify]: iters left: 4 (39 enodes) 110.034 * * [simplify]: Extracting #0: cost 1 inf + 0 110.034 * * [simplify]: Extracting #1: cost 0 inf + 1 110.034 * [simplify]: Simplified to 1 110.034 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 110.034 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 110.035 * * [simplify]: iters left: 6 (15 enodes) 110.043 * * [simplify]: iters left: 5 (62 enodes) 110.057 * * [simplify]: iters left: 4 (102 enodes) 110.073 * * [simplify]: iters left: 3 (171 enodes) 110.129 * * [simplify]: iters left: 2 (325 enodes) 110.225 * * [simplify]: Extracting #0: cost 1 inf + 0 110.225 * * [simplify]: Extracting #1: cost 6 inf + 0 110.225 * * [simplify]: Extracting #2: cost 27 inf + 0 110.226 * * [simplify]: Extracting #3: cost 92 inf + 43 110.226 * * [simplify]: Extracting #4: cost 150 inf + 254 110.229 * * [simplify]: Extracting #5: cost 123 inf + 6029 110.235 * * [simplify]: Extracting #6: cost 76 inf + 16466 110.241 * * [simplify]: Extracting #7: cost 19 inf + 56560 110.250 * * [simplify]: Extracting #8: cost 0 inf + 73844 110.260 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 110.260 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 110.260 * * * * [progress]: [ 173 / 209 ] simplifiying candidate # 110.260 * [simplify]: Simplifying (/ 1 (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 110.260 * * [simplify]: iters left: 6 (16 enodes) 110.268 * * [simplify]: iters left: 5 (67 enodes) 110.282 * * [simplify]: iters left: 4 (112 enodes) 110.306 * * [simplify]: iters left: 3 (185 enodes) 110.369 * * [simplify]: iters left: 2 (328 enodes) 110.446 * * [simplify]: Extracting #0: cost 1 inf + 0 110.446 * * [simplify]: Extracting #1: cost 6 inf + 0 110.446 * * [simplify]: Extracting #2: cost 25 inf + 1 110.447 * * [simplify]: Extracting #3: cost 87 inf + 2 110.447 * * [simplify]: Extracting #4: cost 151 inf + 7 110.448 * * [simplify]: Extracting #5: cost 173 inf + 137 110.448 * * [simplify]: Extracting #6: cost 160 inf + 1331 110.451 * * [simplify]: Extracting #7: cost 88 inf + 16179 110.460 * * [simplify]: Extracting #8: cost 15 inf + 69722 110.470 * * [simplify]: Extracting #9: cost 0 inf + 81496 110.481 * * [simplify]: Extracting #10: cost 0 inf + 80841 110.492 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) 110.492 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 110.492 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 110.493 * * [simplify]: iters left: 6 (16 enodes) 110.497 * * [simplify]: iters left: 5 (67 enodes) 110.523 * * [simplify]: iters left: 4 (112 enodes) 110.559 * * [simplify]: iters left: 3 (185 enodes) 110.600 * * [simplify]: iters left: 2 (328 enodes) 110.707 * * [simplify]: Extracting #0: cost 1 inf + 0 110.707 * * [simplify]: Extracting #1: cost 6 inf + 0 110.707 * * [simplify]: Extracting #2: cost 28 inf + 0 110.708 * * [simplify]: Extracting #3: cost 89 inf + 43 110.708 * * [simplify]: Extracting #4: cost 147 inf + 418 110.711 * * [simplify]: Extracting #5: cost 135 inf + 5087 110.716 * * [simplify]: Extracting #6: cost 96 inf + 10504 110.726 * * [simplify]: Extracting #7: cost 51 inf + 35360 110.734 * * [simplify]: Extracting #8: cost 16 inf + 65151 110.744 * * [simplify]: Extracting #9: cost 0 inf + 81452 110.761 * * [simplify]: Extracting #10: cost 0 inf + 81059 110.782 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 110.782 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 110.782 * * * * [progress]: [ 174 / 209 ] simplifiying candidate # 110.782 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 110.783 * * [simplify]: iters left: 6 (17 enodes) 110.792 * * [simplify]: iters left: 5 (70 enodes) 110.804 * * [simplify]: iters left: 4 (110 enodes) 110.823 * * [simplify]: iters left: 3 (175 enodes) 110.881 * * [simplify]: iters left: 2 (323 enodes) 110.964 * * [simplify]: Extracting #0: cost 1 inf + 0 110.964 * * [simplify]: Extracting #1: cost 6 inf + 0 110.964 * * [simplify]: Extracting #2: cost 9 inf + 1 110.965 * * [simplify]: Extracting #3: cost 22 inf + 1 110.965 * * [simplify]: Extracting #4: cost 76 inf + 2 110.966 * * [simplify]: Extracting #5: cost 150 inf + 6 110.967 * * [simplify]: Extracting #6: cost 170 inf + 179 110.969 * * [simplify]: Extracting #7: cost 142 inf + 6617 110.975 * * [simplify]: Extracting #8: cost 57 inf + 30633 110.983 * * [simplify]: Extracting #9: cost 5 inf + 69652 110.992 * * [simplify]: Extracting #10: cost 0 inf + 72789 111.002 * * [simplify]: Extracting #11: cost 0 inf + 72658 111.017 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 111.017 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 111.017 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 111.017 * * [simplify]: iters left: 6 (16 enodes) 111.026 * * [simplify]: iters left: 5 (65 enodes) 111.047 * * [simplify]: iters left: 4 (103 enodes) 111.074 * * [simplify]: iters left: 3 (169 enodes) 111.115 * * [simplify]: iters left: 2 (314 enodes) 111.196 * * [simplify]: Extracting #0: cost 1 inf + 0 111.196 * * [simplify]: Extracting #1: cost 4 inf + 0 111.196 * * [simplify]: Extracting #2: cost 8 inf + 0 111.196 * * [simplify]: Extracting #3: cost 19 inf + 1 111.197 * * [simplify]: Extracting #4: cost 71 inf + 84 111.197 * * [simplify]: Extracting #5: cost 138 inf + 171 111.199 * * [simplify]: Extracting #6: cost 112 inf + 7374 111.208 * * [simplify]: Extracting #7: cost 41 inf + 34695 111.217 * * [simplify]: Extracting #8: cost 3 inf + 64864 111.225 * * [simplify]: Extracting #9: cost 0 inf + 66972 111.234 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 111.234 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 111.234 * * * * [progress]: [ 175 / 209 ] simplifiying candidate # 111.235 * [simplify]: Simplifying (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 111.235 * * [simplify]: iters left: 6 (16 enodes) 111.240 * * [simplify]: iters left: 5 (65 enodes) 111.258 * * [simplify]: iters left: 4 (104 enodes) 111.292 * * [simplify]: iters left: 3 (169 enodes) 111.329 * * [simplify]: iters left: 2 (314 enodes) 111.410 * * [simplify]: Extracting #0: cost 1 inf + 0 111.410 * * [simplify]: Extracting #1: cost 4 inf + 0 111.410 * * [simplify]: Extracting #2: cost 6 inf + 1 111.410 * * [simplify]: Extracting #3: cost 22 inf + 1 111.410 * * [simplify]: Extracting #4: cost 84 inf + 2 111.411 * * [simplify]: Extracting #5: cost 145 inf + 7 111.411 * * [simplify]: Extracting #6: cost 164 inf + 137 111.412 * * [simplify]: Extracting #7: cost 156 inf + 718 111.414 * * [simplify]: Extracting #8: cost 93 inf + 16707 111.421 * * [simplify]: Extracting #9: cost 12 inf + 57787 111.430 * * [simplify]: Extracting #10: cost 0 inf + 67989 111.441 * [simplify]: Simplified to (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 111.441 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 111.441 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 111.442 * * [simplify]: iters left: 6 (16 enodes) 111.450 * * [simplify]: iters left: 5 (65 enodes) 111.471 * * [simplify]: iters left: 4 (104 enodes) 111.509 * * [simplify]: iters left: 3 (169 enodes) 111.557 * * [simplify]: iters left: 2 (314 enodes) 111.647 * * [simplify]: Extracting #0: cost 1 inf + 0 111.647 * * [simplify]: Extracting #1: cost 4 inf + 0 111.647 * * [simplify]: Extracting #2: cost 9 inf + 0 111.648 * * [simplify]: Extracting #3: cost 24 inf + 1 111.648 * * [simplify]: Extracting #4: cost 85 inf + 84 111.649 * * [simplify]: Extracting #5: cost 133 inf + 1237 111.651 * * [simplify]: Extracting #6: cost 108 inf + 7852 111.656 * * [simplify]: Extracting #7: cost 35 inf + 40114 111.664 * * [simplify]: Extracting #8: cost 4 inf + 65087 111.673 * * [simplify]: Extracting #9: cost 0 inf + 68233 111.683 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) 111.683 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))))) 111.684 * * * * [progress]: [ 176 / 209 ] simplifiying candidate # 111.684 * [simplify]: Simplifying (/ 1 1) 111.684 * * [simplify]: iters left: 2 (2 enodes) 111.686 * * [simplify]: iters left: 1 (6 enodes) 111.688 * * [simplify]: Extracting #0: cost 1 inf + 0 111.688 * * [simplify]: Extracting #1: cost 0 inf + 1 111.688 * [simplify]: Simplified to 1 111.688 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 111.688 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 111.688 * * [simplify]: iters left: 6 (15 enodes) 111.700 * * [simplify]: iters left: 5 (62 enodes) 111.713 * * [simplify]: iters left: 4 (102 enodes) 111.730 * * [simplify]: iters left: 3 (171 enodes) 111.762 * * [simplify]: iters left: 2 (325 enodes) 111.834 * * [simplify]: Extracting #0: cost 1 inf + 0 111.834 * * [simplify]: Extracting #1: cost 6 inf + 0 111.834 * * [simplify]: Extracting #2: cost 27 inf + 0 111.834 * * [simplify]: Extracting #3: cost 92 inf + 43 111.835 * * [simplify]: Extracting #4: cost 150 inf + 254 111.838 * * [simplify]: Extracting #5: cost 123 inf + 6029 111.844 * * [simplify]: Extracting #6: cost 76 inf + 16466 111.857 * * [simplify]: Extracting #7: cost 19 inf + 56560 111.878 * * [simplify]: Extracting #8: cost 0 inf + 73844 111.897 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 111.898 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 111.898 * * * * [progress]: [ 177 / 209 ] simplifiying candidate # 111.898 * [simplify]: Simplifying (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 111.898 * * [simplify]: iters left: 6 (16 enodes) 111.908 * * [simplify]: iters left: 5 (68 enodes) 111.930 * * [simplify]: iters left: 4 (112 enodes) 111.968 * * [simplify]: iters left: 3 (188 enodes) 112.030 * * [simplify]: iters left: 2 (357 enodes) 112.113 * * [simplify]: Extracting #0: cost 1 inf + 0 112.113 * * [simplify]: Extracting #1: cost 6 inf + 0 112.113 * * [simplify]: Extracting #2: cost 24 inf + 1 112.114 * * [simplify]: Extracting #3: cost 98 inf + 2 112.114 * * [simplify]: Extracting #4: cost 166 inf + 9 112.115 * * [simplify]: Extracting #5: cost 187 inf + 181 112.116 * * [simplify]: Extracting #6: cost 151 inf + 5160 112.120 * * [simplify]: Extracting #7: cost 73 inf + 24791 112.134 * * [simplify]: Extracting #8: cost 20 inf + 56751 112.152 * * [simplify]: Extracting #9: cost 0 inf + 75088 112.162 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 112.162 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 112.163 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 112.163 * * [simplify]: iters left: 6 (16 enodes) 112.168 * * [simplify]: iters left: 5 (68 enodes) 112.179 * * [simplify]: iters left: 4 (112 enodes) 112.198 * * [simplify]: iters left: 3 (188 enodes) 112.237 * * [simplify]: iters left: 2 (356 enodes) 112.360 * * [simplify]: Extracting #0: cost 1 inf + 0 112.361 * * [simplify]: Extracting #1: cost 6 inf + 0 112.361 * * [simplify]: Extracting #2: cost 28 inf + 0 112.361 * * [simplify]: Extracting #3: cost 101 inf + 43 112.362 * * [simplify]: Extracting #4: cost 163 inf + 338 112.366 * * [simplify]: Extracting #5: cost 130 inf + 7670 112.374 * * [simplify]: Extracting #6: cost 69 inf + 24327 112.389 * * [simplify]: Extracting #7: cost 19 inf + 60063 112.410 * * [simplify]: Extracting #8: cost 0 inf + 76950 112.430 * * [simplify]: Extracting #9: cost 0 inf + 76598 112.455 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 112.455 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)))))) 112.456 * * * * [progress]: [ 178 / 209 ] simplifiying candidate # 112.456 * * * * [progress]: [ 179 / 209 ] simplifiying candidate # 112.456 * * * * [progress]: [ 180 / 209 ] simplifiying candidate # 112.456 * * * * [progress]: [ 181 / 209 ] simplifiying candidate # 112.456 * [simplify]: Simplifying (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 112.456 * * [simplify]: iters left: 6 (12 enodes) 112.463 * * [simplify]: iters left: 5 (50 enodes) 112.480 * * [simplify]: iters left: 4 (80 enodes) 112.507 * * [simplify]: iters left: 3 (137 enodes) 112.558 * * [simplify]: iters left: 2 (280 enodes) 112.645 * * [simplify]: Extracting #0: cost 1 inf + 0 112.645 * * [simplify]: Extracting #1: cost 14 inf + 0 112.645 * * [simplify]: Extracting #2: cost 67 inf + 1 112.646 * * [simplify]: Extracting #3: cost 138 inf + 5 112.646 * * [simplify]: Extracting #4: cost 157 inf + 53 112.647 * * [simplify]: Extracting #5: cost 158 inf + 96 112.648 * * [simplify]: Extracting #6: cost 151 inf + 921 112.650 * * [simplify]: Extracting #7: cost 82 inf + 16330 112.657 * * [simplify]: Extracting #8: cost 8 inf + 59114 112.665 * * [simplify]: Extracting #9: cost 0 inf + 64901 112.673 * [simplify]: Simplified to (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 112.673 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 112.674 * * * * [progress]: [ 182 / 209 ] simplifiying candidate # 112.674 * [simplify]: Simplifying (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 112.674 * * [simplify]: iters left: 6 (15 enodes) 112.679 * * [simplify]: iters left: 5 (62 enodes) 112.692 * * [simplify]: iters left: 4 (100 enodes) 112.709 * * [simplify]: iters left: 3 (166 enodes) 112.739 * * [simplify]: iters left: 2 (311 enodes) 112.801 * * [simplify]: Extracting #0: cost 1 inf + 0 112.801 * * [simplify]: Extracting #1: cost 14 inf + 0 112.801 * * [simplify]: Extracting #2: cost 56 inf + 1 112.802 * * [simplify]: Extracting #3: cost 98 inf + 6 112.802 * * [simplify]: Extracting #4: cost 140 inf + 10 112.803 * * [simplify]: Extracting #5: cost 154 inf + 261 112.804 * * [simplify]: Extracting #6: cost 93 inf + 11515 112.810 * * [simplify]: Extracting #7: cost 21 inf + 45152 112.820 * * [simplify]: Extracting #8: cost 1 inf + 64230 112.837 * * [simplify]: Extracting #9: cost 0 inf + 64905 112.859 * [simplify]: Simplified to (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 112.859 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 112.859 * * * * [progress]: [ 183 / 209 ] simplifiying candidate # 112.859 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 112.860 * * [simplify]: iters left: 6 (15 enodes) 112.868 * * [simplify]: iters left: 5 (62 enodes) 112.888 * * [simplify]: iters left: 4 (101 enodes) 112.921 * * [simplify]: iters left: 3 (167 enodes) 112.980 * * [simplify]: iters left: 2 (315 enodes) 113.080 * * [simplify]: Extracting #0: cost 1 inf + 0 113.080 * * [simplify]: Extracting #1: cost 14 inf + 0 113.080 * * [simplify]: Extracting #2: cost 59 inf + 1 113.081 * * [simplify]: Extracting #3: cost 106 inf + 6 113.081 * * [simplify]: Extracting #4: cost 152 inf + 10 113.082 * * [simplify]: Extracting #5: cost 159 inf + 262 113.087 * * [simplify]: Extracting #6: cost 82 inf + 19132 113.103 * * [simplify]: Extracting #7: cost 9 inf + 56261 113.121 * * [simplify]: Extracting #8: cost 0 inf + 63185 113.130 * * [simplify]: Extracting #9: cost 0 inf + 62662 113.140 * * [simplify]: Extracting #10: cost 0 inf + 62532 113.157 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 113.157 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 113.158 * * * * [progress]: [ 184 / 209 ] simplifiying candidate # 113.158 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 113.158 * * [simplify]: iters left: 6 (14 enodes) 113.166 * * [simplify]: iters left: 5 (59 enodes) 113.182 * * [simplify]: iters left: 4 (97 enodes) 113.199 * * [simplify]: iters left: 3 (163 enodes) 113.253 * * [simplify]: iters left: 2 (311 enodes) 113.371 * * [simplify]: Extracting #0: cost 1 inf + 0 113.372 * * [simplify]: Extracting #1: cost 14 inf + 0 113.372 * * [simplify]: Extracting #2: cost 66 inf + 1 113.372 * * [simplify]: Extracting #3: cost 136 inf + 6 113.373 * * [simplify]: Extracting #4: cost 156 inf + 179 113.373 * * [simplify]: Extracting #5: cost 148 inf + 881 113.377 * * [simplify]: Extracting #6: cost 70 inf + 22990 113.384 * * [simplify]: Extracting #7: cost 7 inf + 56563 113.392 * * [simplify]: Extracting #8: cost 0 inf + 61717 113.401 * * [simplify]: Extracting #9: cost 0 inf + 61677 113.417 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 113.418 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow 1 (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 113.418 * * * * [progress]: [ 185 / 209 ] simplifiying candidate # 113.418 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 113.418 * * [simplify]: iters left: 6 (15 enodes) 113.427 * * [simplify]: iters left: 5 (64 enodes) 113.439 * * [simplify]: iters left: 4 (107 enodes) 113.457 * * [simplify]: iters left: 3 (172 enodes) 113.493 * * [simplify]: iters left: 2 (308 enodes) 113.587 * * [simplify]: Extracting #0: cost 1 inf + 0 113.587 * * [simplify]: Extracting #1: cost 13 inf + 0 113.587 * * [simplify]: Extracting #2: cost 65 inf + 1 113.588 * * [simplify]: Extracting #3: cost 139 inf + 5 113.588 * * [simplify]: Extracting #4: cost 162 inf + 179 113.589 * * [simplify]: Extracting #5: cost 158 inf + 472 113.591 * * [simplify]: Extracting #6: cost 102 inf + 8559 113.595 * * [simplify]: Extracting #7: cost 44 inf + 34459 113.604 * * [simplify]: Extracting #8: cost 1 inf + 72965 113.614 * * [simplify]: Extracting #9: cost 0 inf + 71959 113.631 * * [simplify]: Extracting #10: cost 0 inf + 71828 113.642 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 113.642 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 113.643 * * * * [progress]: [ 186 / 209 ] simplifiying candidate # 113.643 * [simplify]: Simplifying (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 113.643 * * [simplify]: iters left: 6 (15 enodes) 113.647 * * [simplify]: iters left: 5 (62 enodes) 113.660 * * [simplify]: iters left: 4 (100 enodes) 113.684 * * [simplify]: iters left: 3 (166 enodes) 113.716 * * [simplify]: iters left: 2 (314 enodes) 113.821 * * [simplify]: Extracting #0: cost 1 inf + 0 113.821 * * [simplify]: Extracting #1: cost 3 inf + 0 113.821 * * [simplify]: Extracting #2: cost 16 inf + 0 113.821 * * [simplify]: Extracting #3: cost 68 inf + 1 113.821 * * [simplify]: Extracting #4: cost 136 inf + 6 113.822 * * [simplify]: Extracting #5: cost 158 inf + 137 113.822 * * [simplify]: Extracting #6: cost 150 inf + 637 113.824 * * [simplify]: Extracting #7: cost 81 inf + 14790 113.831 * * [simplify]: Extracting #8: cost 24 inf + 42009 113.847 * * [simplify]: Extracting #9: cost 0 inf + 60489 113.856 * * [simplify]: Extracting #10: cost 0 inf + 60148 113.865 * [simplify]: Simplified to (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 113.865 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 113.865 * * * * [progress]: [ 187 / 209 ] simplifiying candidate # 113.865 * [simplify]: Simplifying (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 113.866 * * [simplify]: iters left: 6 (15 enodes) 113.873 * * [simplify]: iters left: 5 (62 enodes) 113.891 * * [simplify]: iters left: 4 (101 enodes) 113.916 * * [simplify]: iters left: 3 (167 enodes) 113.954 * * [simplify]: iters left: 2 (315 enodes) 114.035 * * [simplify]: Extracting #0: cost 1 inf + 0 114.035 * * [simplify]: Extracting #1: cost 4 inf + 0 114.035 * * [simplify]: Extracting #2: cost 21 inf + 0 114.035 * * [simplify]: Extracting #3: cost 83 inf + 1 114.036 * * [simplify]: Extracting #4: cost 141 inf + 7 114.036 * * [simplify]: Extracting #5: cost 159 inf + 138 114.037 * * [simplify]: Extracting #6: cost 155 inf + 431 114.039 * * [simplify]: Extracting #7: cost 72 inf + 22328 114.047 * * [simplify]: Extracting #8: cost 9 inf + 59517 114.055 * * [simplify]: Extracting #9: cost 0 inf + 64941 114.067 * * [simplify]: Extracting #10: cost 0 inf + 64288 114.076 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 114.076 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 114.076 * * * * [progress]: [ 188 / 209 ] simplifiying candidate # 114.076 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 114.076 * * [simplify]: iters left: 6 (14 enodes) 114.080 * * [simplify]: iters left: 5 (59 enodes) 114.098 * * [simplify]: iters left: 4 (97 enodes) 114.115 * * [simplify]: iters left: 3 (163 enodes) 114.155 * * [simplify]: iters left: 2 (311 enodes) 114.264 * * [simplify]: Extracting #0: cost 1 inf + 0 114.264 * * [simplify]: Extracting #1: cost 14 inf + 0 114.264 * * [simplify]: Extracting #2: cost 66 inf + 1 114.264 * * [simplify]: Extracting #3: cost 136 inf + 6 114.265 * * [simplify]: Extracting #4: cost 156 inf + 179 114.266 * * [simplify]: Extracting #5: cost 148 inf + 881 114.269 * * [simplify]: Extracting #6: cost 70 inf + 22990 114.278 * * [simplify]: Extracting #7: cost 7 inf + 56563 114.288 * * [simplify]: Extracting #8: cost 0 inf + 61717 114.304 * * [simplify]: Extracting #9: cost 0 inf + 61677 114.321 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 114.321 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 114.322 * * * * [progress]: [ 189 / 209 ] simplifiying candidate # 114.322 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 114.322 * * [simplify]: iters left: 6 (15 enodes) 114.331 * * [simplify]: iters left: 5 (65 enodes) 114.352 * * [simplify]: iters left: 4 (107 enodes) 114.388 * * [simplify]: iters left: 3 (179 enodes) 114.432 * * [simplify]: iters left: 2 (343 enodes) 114.563 * * [simplify]: Extracting #0: cost 1 inf + 0 114.563 * * [simplify]: Extracting #1: cost 13 inf + 0 114.563 * * [simplify]: Extracting #2: cost 73 inf + 1 114.563 * * [simplify]: Extracting #3: cost 153 inf + 7 114.564 * * [simplify]: Extracting #4: cost 178 inf + 139 114.566 * * [simplify]: Extracting #5: cost 135 inf + 6597 114.569 * * [simplify]: Extracting #6: cost 68 inf + 20653 114.576 * * [simplify]: Extracting #7: cost 12 inf + 56523 114.586 * * [simplify]: Extracting #8: cost 0 inf + 66990 114.600 * * [simplify]: Extracting #9: cost 0 inf + 66598 114.614 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 114.614 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))))) 114.614 * * * * [progress]: [ 190 / 209 ] simplifiying candidate # 114.614 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 114.615 * * [simplify]: iters left: 4 (4 enodes) 114.616 * * [simplify]: iters left: 3 (12 enodes) 114.617 * * [simplify]: Extracting #0: cost 1 inf + 0 114.617 * * [simplify]: Extracting #1: cost 3 inf + 0 114.617 * * [simplify]: Extracting #2: cost 5 inf + 0 114.617 * * [simplify]: Extracting #3: cost 7 inf + 0 114.617 * * [simplify]: Extracting #4: cost 6 inf + 1 114.617 * * [simplify]: Extracting #5: cost 0 inf + 647 114.617 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 114.617 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))))) 114.618 * * * * [progress]: [ 191 / 209 ] simplifiying candidate # 114.618 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 114.618 * * [simplify]: iters left: 4 (4 enodes) 114.619 * * [simplify]: iters left: 3 (13 enodes) 114.620 * * [simplify]: Extracting #0: cost 1 inf + 0 114.620 * * [simplify]: Extracting #1: cost 4 inf + 0 114.620 * * [simplify]: Extracting #2: cost 7 inf + 0 114.620 * * [simplify]: Extracting #3: cost 6 inf + 1 114.620 * * [simplify]: Extracting #4: cost 0 inf + 647 114.621 * [simplify]: Simplified to (fabs (cbrt k)) 114.621 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k)))))) 114.621 * * * * [progress]: [ 192 / 209 ] simplifiying candidate # 114.621 * [simplify]: Simplifying (sqrt (sqrt k)) 114.621 * * [simplify]: iters left: 2 (3 enodes) 114.621 * * [simplify]: iters left: 1 (9 enodes) 114.623 * * [simplify]: Extracting #0: cost 1 inf + 0 114.623 * * [simplify]: Extracting #1: cost 3 inf + 0 114.623 * * [simplify]: Extracting #2: cost 5 inf + 0 114.623 * * [simplify]: Extracting #3: cost 4 inf + 1 114.623 * * [simplify]: Extracting #4: cost 0 inf + 245 114.623 * [simplify]: Simplified to (sqrt (sqrt k)) 114.623 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k)))))) 114.623 * * * * [progress]: [ 193 / 209 ] simplifiying candidate # 114.623 * [simplify]: Simplifying (sqrt 1) 114.623 * * [simplify]: iters left: 1 (2 enodes) 114.625 * * [simplify]: Extracting #0: cost 1 inf + 0 114.625 * * [simplify]: Extracting #1: cost 0 inf + 1 114.625 * [simplify]: Simplified to 1 114.625 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))))) 114.625 * * * * [progress]: [ 194 / 209 ] simplifiying candidate # 114.625 * [simplify]: Simplifying (sqrt (sqrt k)) 114.625 * * [simplify]: iters left: 2 (3 enodes) 114.626 * * [simplify]: iters left: 1 (9 enodes) 114.627 * * [simplify]: Extracting #0: cost 1 inf + 0 114.627 * * [simplify]: Extracting #1: cost 3 inf + 0 114.627 * * [simplify]: Extracting #2: cost 5 inf + 0 114.627 * * [simplify]: Extracting #3: cost 4 inf + 1 114.627 * * [simplify]: Extracting #4: cost 0 inf + 245 114.627 * [simplify]: Simplified to (sqrt (sqrt k)) 114.627 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k)))))) 114.627 * * * * [progress]: [ 195 / 209 ] simplifiying candidate # 114.628 * * * * [progress]: [ 196 / 209 ] simplifiying candidate # 114.628 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 114.628 * * [simplify]: iters left: 6 (13 enodes) 114.631 * * [simplify]: iters left: 5 (50 enodes) 114.648 * * [simplify]: iters left: 4 (81 enodes) 114.674 * * [simplify]: iters left: 3 (136 enodes) 114.721 * * [simplify]: iters left: 2 (257 enodes) 114.821 * * [simplify]: Extracting #0: cost 1 inf + 0 114.822 * * [simplify]: Extracting #1: cost 13 inf + 0 114.822 * * [simplify]: Extracting #2: cost 63 inf + 1 114.823 * * [simplify]: Extracting #3: cost 125 inf + 5 114.824 * * [simplify]: Extracting #4: cost 134 inf + 507 114.829 * * [simplify]: Extracting #5: cost 59 inf + 22010 114.841 * * [simplify]: Extracting #6: cost 3 inf + 53599 114.849 * * [simplify]: Extracting #7: cost 0 inf + 56180 114.858 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 114.858 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))))) 114.858 * * * * [progress]: [ 197 / 209 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))))> 114.858 * * * * [progress]: [ 198 / 209 ] simplifiying candidate # 114.858 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 114.858 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 114.859 * * * * [progress]: [ 199 / 209 ] simplifiying candidate # 114.859 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 114.859 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 114.859 * * * * [progress]: [ 200 / 209 ] simplifiying candidate # 114.860 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 114.860 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 114.860 * * * * [progress]: [ 201 / 209 ] simplifiying candidate # 114.860 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 114.860 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 114.861 * * * * [progress]: [ 202 / 209 ] simplifiying candidate # 114.861 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 114.861 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 114.861 * * * * [progress]: [ 203 / 209 ] simplifiying candidate # 114.861 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 114.861 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 114.862 * * * * [progress]: [ 204 / 209 ] simplifiying candidate # 114.862 * [simplify]: Simplifying (* 2 (* n PI)) 114.862 * * [simplify]: iters left: 4 (5 enodes) 114.864 * * [simplify]: iters left: 3 (19 enodes) 114.867 * * [simplify]: iters left: 2 (27 enodes) 114.875 * * [simplify]: iters left: 1 (32 enodes) 114.883 * * [simplify]: Extracting #0: cost 1 inf + 0 114.883 * * [simplify]: Extracting #1: cost 8 inf + 0 114.883 * * [simplify]: Extracting #2: cost 7 inf + 45 114.883 * * [simplify]: Extracting #3: cost 0 inf + 421 114.883 * [simplify]: Simplified to (* (* PI n) 2) 114.883 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 114.883 * * * * [progress]: [ 205 / 209 ] simplifiying candidate # 114.883 * [simplify]: Simplifying (* 2 (* n PI)) 114.883 * * [simplify]: iters left: 4 (5 enodes) 114.885 * * [simplify]: iters left: 3 (19 enodes) 114.888 * * [simplify]: iters left: 2 (27 enodes) 114.892 * * [simplify]: iters left: 1 (32 enodes) 114.899 * * [simplify]: Extracting #0: cost 1 inf + 0 114.899 * * [simplify]: Extracting #1: cost 8 inf + 0 114.899 * * [simplify]: Extracting #2: cost 7 inf + 45 114.899 * * [simplify]: Extracting #3: cost 0 inf + 421 114.899 * [simplify]: Simplified to (* (* PI n) 2) 114.899 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 114.900 * * * * [progress]: [ 206 / 209 ] simplifiying candidate # 114.900 * [simplify]: Simplifying (* 2 (* n PI)) 114.900 * * [simplify]: iters left: 4 (5 enodes) 114.901 * * [simplify]: iters left: 3 (19 enodes) 114.906 * * [simplify]: iters left: 2 (27 enodes) 114.914 * * [simplify]: iters left: 1 (32 enodes) 114.922 * * [simplify]: Extracting #0: cost 1 inf + 0 114.922 * * [simplify]: Extracting #1: cost 8 inf + 0 114.922 * * [simplify]: Extracting #2: cost 7 inf + 45 114.922 * * [simplify]: Extracting #3: cost 0 inf + 421 114.923 * [simplify]: Simplified to (* (* PI n) 2) 114.923 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 114.923 * * * * [progress]: [ 207 / 209 ] simplifiying candidate # 114.923 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 114.923 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 114.924 * * * * [progress]: [ 208 / 209 ] simplifiying candidate # 114.924 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (log (* 2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (pow (log (/ 1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))))))))))))))))))))))) 114.924 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 114.925 * * * * [progress]: [ 209 / 209 ] simplifiying candidate # 114.926 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (log (* -2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (log (* -2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (pow (log (/ -1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)))))))))))))))))))))) 114.926 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 114.927 * * * [progress]: adding candidates to table 117.729 * * [progress]: iteration 4 / 4 117.729 * * * [progress]: picking best candidate 117.772 * * * * [pick]: Picked # 117.772 * * * [progress]: localizing error 117.839 * * * [progress]: generating rewritten candidates 117.839 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 117.870 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 117.894 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 117.907 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 117.914 * * * [progress]: generating series expansions 117.914 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 117.915 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 117.915 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 117.915 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 117.915 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 117.915 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 117.915 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 117.915 * [taylor]: Taking taylor expansion of (sqrt k) in k 117.915 * [taylor]: Taking taylor expansion of k in k 117.915 * [backup-simplify]: Simplify 0 into 0 117.915 * [backup-simplify]: Simplify 1 into 1 117.916 * [backup-simplify]: Simplify (sqrt 0) into 0 117.917 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 117.917 * [taylor]: Taking taylor expansion of 1 in k 117.917 * [backup-simplify]: Simplify 1 into 1 117.917 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 117.917 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 117.917 * [taylor]: Taking taylor expansion of 2 in k 117.917 * [backup-simplify]: Simplify 2 into 2 117.917 * [taylor]: Taking taylor expansion of (* n PI) in k 117.917 * [taylor]: Taking taylor expansion of n in k 117.917 * [backup-simplify]: Simplify n into n 117.917 * [taylor]: Taking taylor expansion of PI in k 117.917 * [backup-simplify]: Simplify PI into PI 117.917 * [backup-simplify]: Simplify (* n PI) into (* n PI) 117.917 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 117.917 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 117.917 * [backup-simplify]: Simplify (+ 0 1) into 1 117.917 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 117.917 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 117.917 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 117.917 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 117.917 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 117.917 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 117.917 * [taylor]: Taking taylor expansion of (sqrt k) in n 117.918 * [taylor]: Taking taylor expansion of k in n 117.918 * [backup-simplify]: Simplify k into k 117.918 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 117.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 117.918 * [taylor]: Taking taylor expansion of 1 in n 117.918 * [backup-simplify]: Simplify 1 into 1 117.918 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 117.918 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 117.918 * [taylor]: Taking taylor expansion of 2 in n 117.918 * [backup-simplify]: Simplify 2 into 2 117.918 * [taylor]: Taking taylor expansion of (* n PI) in n 117.918 * [taylor]: Taking taylor expansion of n in n 117.918 * [backup-simplify]: Simplify 0 into 0 117.918 * [backup-simplify]: Simplify 1 into 1 117.918 * [taylor]: Taking taylor expansion of PI in n 117.918 * [backup-simplify]: Simplify PI into PI 117.918 * [backup-simplify]: Simplify (* 0 PI) into 0 117.918 * [backup-simplify]: Simplify (* 2 0) into 0 117.919 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 117.920 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 117.921 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 117.921 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 117.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 117.923 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 117.924 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 117.924 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 117.924 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 117.924 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 117.924 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 117.924 * [taylor]: Taking taylor expansion of (sqrt k) in n 117.924 * [taylor]: Taking taylor expansion of k in n 117.924 * [backup-simplify]: Simplify k into k 117.924 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 117.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 117.924 * [taylor]: Taking taylor expansion of 1 in n 117.924 * [backup-simplify]: Simplify 1 into 1 117.924 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 117.924 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 117.924 * [taylor]: Taking taylor expansion of 2 in n 117.924 * [backup-simplify]: Simplify 2 into 2 117.924 * [taylor]: Taking taylor expansion of (* n PI) in n 117.924 * [taylor]: Taking taylor expansion of n in n 117.924 * [backup-simplify]: Simplify 0 into 0 117.924 * [backup-simplify]: Simplify 1 into 1 117.924 * [taylor]: Taking taylor expansion of PI in n 117.924 * [backup-simplify]: Simplify PI into PI 117.925 * [backup-simplify]: Simplify (* 0 PI) into 0 117.925 * [backup-simplify]: Simplify (* 2 0) into 0 117.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 117.928 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 117.929 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 117.929 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 117.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 117.932 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 117.933 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 117.933 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 117.933 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 117.933 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 117.933 * [taylor]: Taking taylor expansion of (sqrt k) in k 117.933 * [taylor]: Taking taylor expansion of k in k 117.933 * [backup-simplify]: Simplify 0 into 0 117.933 * [backup-simplify]: Simplify 1 into 1 117.934 * [backup-simplify]: Simplify (sqrt 0) into 0 117.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 117.935 * [taylor]: Taking taylor expansion of 1 in k 117.935 * [backup-simplify]: Simplify 1 into 1 117.935 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 117.935 * [taylor]: Taking taylor expansion of (log n) in k 117.935 * [taylor]: Taking taylor expansion of n in k 117.935 * [backup-simplify]: Simplify n into n 117.935 * [backup-simplify]: Simplify (log n) into (log n) 117.935 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 117.935 * [taylor]: Taking taylor expansion of (* 2 PI) in k 117.935 * [taylor]: Taking taylor expansion of 2 in k 117.935 * [backup-simplify]: Simplify 2 into 2 117.935 * [taylor]: Taking taylor expansion of PI in k 117.935 * [backup-simplify]: Simplify PI into PI 117.936 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 117.937 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 117.937 * [backup-simplify]: Simplify (+ 0 1) into 1 117.938 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 117.939 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 117.940 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 117.941 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 117.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 117.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 117.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 117.946 * [backup-simplify]: Simplify (+ 0 0) into 0 117.947 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 117.948 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 117.950 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 117.950 * [taylor]: Taking taylor expansion of 0 in k 117.950 * [backup-simplify]: Simplify 0 into 0 117.950 * [backup-simplify]: Simplify 0 into 0 117.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 117.951 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 117.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 117.954 * [backup-simplify]: Simplify (+ 0 0) into 0 117.954 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 117.956 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 117.959 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 117.962 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 117.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 117.965 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 117.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 117.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 117.970 * [backup-simplify]: Simplify (+ 0 0) into 0 117.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 117.972 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 117.975 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 117.975 * [taylor]: Taking taylor expansion of 0 in k 117.975 * [backup-simplify]: Simplify 0 into 0 117.975 * [backup-simplify]: Simplify 0 into 0 117.975 * [backup-simplify]: Simplify 0 into 0 117.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 117.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 117.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 117.987 * [backup-simplify]: Simplify (+ 0 0) into 0 117.990 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 117.991 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 117.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 117.999 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 118.006 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 118.022 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 118.022 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 118.022 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 118.023 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 118.023 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 118.023 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 118.023 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 118.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.023 * [taylor]: Taking taylor expansion of k in k 118.023 * [backup-simplify]: Simplify 0 into 0 118.023 * [backup-simplify]: Simplify 1 into 1 118.023 * [backup-simplify]: Simplify (/ 1 1) into 1 118.023 * [backup-simplify]: Simplify (sqrt 0) into 0 118.025 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.025 * [taylor]: Taking taylor expansion of 1 in k 118.025 * [backup-simplify]: Simplify 1 into 1 118.025 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 118.025 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 118.025 * [taylor]: Taking taylor expansion of 2 in k 118.025 * [backup-simplify]: Simplify 2 into 2 118.025 * [taylor]: Taking taylor expansion of (/ PI n) in k 118.025 * [taylor]: Taking taylor expansion of PI in k 118.025 * [backup-simplify]: Simplify PI into PI 118.025 * [taylor]: Taking taylor expansion of n in k 118.025 * [backup-simplify]: Simplify n into n 118.025 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 118.025 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 118.025 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 118.026 * [backup-simplify]: Simplify (+ 0 0) into 0 118.026 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 118.026 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 118.027 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 118.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 118.028 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.029 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 118.029 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 118.029 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 118.029 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 118.029 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 118.029 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 118.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 118.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 118.029 * [taylor]: Taking taylor expansion of k in n 118.029 * [backup-simplify]: Simplify k into k 118.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 118.029 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 118.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 118.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 118.030 * [taylor]: Taking taylor expansion of 1 in n 118.030 * [backup-simplify]: Simplify 1 into 1 118.030 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 118.030 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 118.030 * [taylor]: Taking taylor expansion of 2 in n 118.030 * [backup-simplify]: Simplify 2 into 2 118.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.030 * [taylor]: Taking taylor expansion of PI in n 118.030 * [backup-simplify]: Simplify PI into PI 118.030 * [taylor]: Taking taylor expansion of n in n 118.030 * [backup-simplify]: Simplify 0 into 0 118.030 * [backup-simplify]: Simplify 1 into 1 118.030 * [backup-simplify]: Simplify (/ PI 1) into PI 118.031 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.032 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.032 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 118.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.034 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 118.035 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 118.035 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 118.035 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 118.035 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 118.035 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 118.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 118.035 * [taylor]: Taking taylor expansion of (/ 1 k) in n 118.035 * [taylor]: Taking taylor expansion of k in n 118.035 * [backup-simplify]: Simplify k into k 118.036 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 118.036 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 118.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 118.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 118.036 * [taylor]: Taking taylor expansion of 1 in n 118.036 * [backup-simplify]: Simplify 1 into 1 118.036 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 118.036 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 118.036 * [taylor]: Taking taylor expansion of 2 in n 118.036 * [backup-simplify]: Simplify 2 into 2 118.036 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.036 * [taylor]: Taking taylor expansion of PI in n 118.036 * [backup-simplify]: Simplify PI into PI 118.036 * [taylor]: Taking taylor expansion of n in n 118.036 * [backup-simplify]: Simplify 0 into 0 118.036 * [backup-simplify]: Simplify 1 into 1 118.037 * [backup-simplify]: Simplify (/ PI 1) into PI 118.037 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.038 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.038 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 118.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.041 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 118.042 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 118.042 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 118.042 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 118.042 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 118.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.042 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.042 * [taylor]: Taking taylor expansion of k in k 118.042 * [backup-simplify]: Simplify 0 into 0 118.042 * [backup-simplify]: Simplify 1 into 1 118.043 * [backup-simplify]: Simplify (/ 1 1) into 1 118.043 * [backup-simplify]: Simplify (sqrt 0) into 0 118.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.044 * [taylor]: Taking taylor expansion of 1 in k 118.044 * [backup-simplify]: Simplify 1 into 1 118.044 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 118.044 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 118.044 * [taylor]: Taking taylor expansion of (* 2 PI) in k 118.045 * [taylor]: Taking taylor expansion of 2 in k 118.045 * [backup-simplify]: Simplify 2 into 2 118.045 * [taylor]: Taking taylor expansion of PI in k 118.045 * [backup-simplify]: Simplify PI into PI 118.045 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.046 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.046 * [taylor]: Taking taylor expansion of (log n) in k 118.046 * [taylor]: Taking taylor expansion of n in k 118.046 * [backup-simplify]: Simplify n into n 118.046 * [backup-simplify]: Simplify (log n) into (log n) 118.047 * [backup-simplify]: Simplify (+ 0 0) into 0 118.047 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 118.048 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 118.049 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 118.049 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 118.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 118.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 118.052 * [backup-simplify]: Simplify (- 0) into 0 118.053 * [backup-simplify]: Simplify (+ 0 0) into 0 118.053 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.055 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.057 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 118.060 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 118.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 118.062 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 118.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 118.063 * [backup-simplify]: Simplify (+ 0 0) into 0 118.064 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.064 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 118.065 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 118.065 * [taylor]: Taking taylor expansion of 0 in k 118.065 * [backup-simplify]: Simplify 0 into 0 118.066 * [backup-simplify]: Simplify 0 into 0 118.066 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 118.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 118.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 118.069 * [backup-simplify]: Simplify (- 0) into 0 118.069 * [backup-simplify]: Simplify (+ 0 0) into 0 118.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.072 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.072 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 118.076 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 118.079 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 118.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 118.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 118.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 118.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 118.084 * [backup-simplify]: Simplify (+ 0 0) into 0 118.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.086 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 118.087 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.087 * [taylor]: Taking taylor expansion of 0 in k 118.087 * [backup-simplify]: Simplify 0 into 0 118.087 * [backup-simplify]: Simplify 0 into 0 118.087 * [backup-simplify]: Simplify 0 into 0 118.088 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 118.092 * [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 0 118.095 * [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 0 118.095 * [backup-simplify]: Simplify (- 0) into 0 118.096 * [backup-simplify]: Simplify (+ 0 0) into 0 118.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.107 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.118 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 118.126 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 118.147 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 118.148 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 118.148 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 118.148 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 118.148 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 118.148 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 118.148 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 118.148 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.148 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.148 * [taylor]: Taking taylor expansion of -1 in k 118.148 * [backup-simplify]: Simplify -1 into -1 118.148 * [taylor]: Taking taylor expansion of k in k 118.148 * [backup-simplify]: Simplify 0 into 0 118.148 * [backup-simplify]: Simplify 1 into 1 118.149 * [backup-simplify]: Simplify (/ -1 1) into -1 118.149 * [backup-simplify]: Simplify (sqrt 0) into 0 118.151 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.151 * [taylor]: Taking taylor expansion of 1 in k 118.151 * [backup-simplify]: Simplify 1 into 1 118.151 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 118.151 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 118.151 * [taylor]: Taking taylor expansion of -2 in k 118.151 * [backup-simplify]: Simplify -2 into -2 118.151 * [taylor]: Taking taylor expansion of (/ PI n) in k 118.151 * [taylor]: Taking taylor expansion of PI in k 118.151 * [backup-simplify]: Simplify PI into PI 118.151 * [taylor]: Taking taylor expansion of n in k 118.151 * [backup-simplify]: Simplify n into n 118.151 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 118.151 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 118.151 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 118.152 * [backup-simplify]: Simplify (+ 0 0) into 0 118.152 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 118.152 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 118.152 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 118.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 118.154 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.154 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 118.155 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 118.155 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 118.155 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 118.155 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 118.155 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 118.155 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 118.155 * [taylor]: Taking taylor expansion of (/ -1 k) in n 118.155 * [taylor]: Taking taylor expansion of -1 in n 118.155 * [backup-simplify]: Simplify -1 into -1 118.155 * [taylor]: Taking taylor expansion of k in n 118.155 * [backup-simplify]: Simplify k into k 118.155 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 118.155 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 118.155 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 118.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 118.155 * [taylor]: Taking taylor expansion of 1 in n 118.155 * [backup-simplify]: Simplify 1 into 1 118.155 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 118.155 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 118.155 * [taylor]: Taking taylor expansion of -2 in n 118.155 * [backup-simplify]: Simplify -2 into -2 118.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.155 * [taylor]: Taking taylor expansion of PI in n 118.156 * [backup-simplify]: Simplify PI into PI 118.156 * [taylor]: Taking taylor expansion of n in n 118.156 * [backup-simplify]: Simplify 0 into 0 118.156 * [backup-simplify]: Simplify 1 into 1 118.156 * [backup-simplify]: Simplify (/ PI 1) into PI 118.157 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.157 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 118.158 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 118.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.160 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 118.161 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 118.161 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 118.162 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 118.162 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 118.162 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 118.162 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 118.162 * [taylor]: Taking taylor expansion of (/ -1 k) in n 118.162 * [taylor]: Taking taylor expansion of -1 in n 118.162 * [backup-simplify]: Simplify -1 into -1 118.162 * [taylor]: Taking taylor expansion of k in n 118.162 * [backup-simplify]: Simplify k into k 118.162 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 118.162 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 118.162 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 118.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 118.162 * [taylor]: Taking taylor expansion of 1 in n 118.162 * [backup-simplify]: Simplify 1 into 1 118.162 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 118.162 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 118.162 * [taylor]: Taking taylor expansion of -2 in n 118.162 * [backup-simplify]: Simplify -2 into -2 118.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.162 * [taylor]: Taking taylor expansion of PI in n 118.162 * [backup-simplify]: Simplify PI into PI 118.162 * [taylor]: Taking taylor expansion of n in n 118.162 * [backup-simplify]: Simplify 0 into 0 118.162 * [backup-simplify]: Simplify 1 into 1 118.163 * [backup-simplify]: Simplify (/ PI 1) into PI 118.163 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.164 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 118.164 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 118.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.167 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 118.168 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 118.168 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 118.168 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 118.168 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 118.168 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 118.168 * [taylor]: Taking taylor expansion of (* -2 PI) in k 118.168 * [taylor]: Taking taylor expansion of -2 in k 118.168 * [backup-simplify]: Simplify -2 into -2 118.168 * [taylor]: Taking taylor expansion of PI in k 118.168 * [backup-simplify]: Simplify PI into PI 118.169 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.170 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 118.170 * [taylor]: Taking taylor expansion of (log n) in k 118.170 * [taylor]: Taking taylor expansion of n in k 118.170 * [backup-simplify]: Simplify n into n 118.170 * [backup-simplify]: Simplify (log n) into (log n) 118.170 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 118.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.170 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.170 * [taylor]: Taking taylor expansion of -1 in k 118.170 * [backup-simplify]: Simplify -1 into -1 118.170 * [taylor]: Taking taylor expansion of k in k 118.170 * [backup-simplify]: Simplify 0 into 0 118.170 * [backup-simplify]: Simplify 1 into 1 118.170 * [backup-simplify]: Simplify (/ -1 1) into -1 118.171 * [backup-simplify]: Simplify (sqrt 0) into 0 118.172 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.172 * [taylor]: Taking taylor expansion of 1 in k 118.172 * [backup-simplify]: Simplify 1 into 1 118.172 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 118.173 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 118.174 * [backup-simplify]: Simplify (+ 0 0) into 0 118.175 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 118.175 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.176 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 118.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 118.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 118.179 * [backup-simplify]: Simplify (- 0) into 0 118.179 * [backup-simplify]: Simplify (+ 0 0) into 0 118.181 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.184 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 118.186 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 118.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 118.188 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 118.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 118.190 * [backup-simplify]: Simplify (+ 0 0) into 0 118.192 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.193 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 118.195 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 118.195 * [taylor]: Taking taylor expansion of 0 in k 118.195 * [backup-simplify]: Simplify 0 into 0 118.195 * [backup-simplify]: Simplify 0 into 0 118.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 118.199 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.200 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.201 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 118.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 118.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 118.206 * [backup-simplify]: Simplify (- 0) into 0 118.206 * [backup-simplify]: Simplify (+ 0 0) into 0 118.209 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.214 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 118.219 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.221 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 118.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 118.225 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 118.226 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 118.226 * [backup-simplify]: Simplify (+ 0 0) into 0 118.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.228 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 118.230 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.230 * [taylor]: Taking taylor expansion of 0 in k 118.230 * [backup-simplify]: Simplify 0 into 0 118.230 * [backup-simplify]: Simplify 0 into 0 118.230 * [backup-simplify]: Simplify 0 into 0 118.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.233 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.234 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 118.241 * [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 0 118.243 * [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 0 118.243 * [backup-simplify]: Simplify (- 0) into 0 118.243 * [backup-simplify]: Simplify (+ 0 0) into 0 118.245 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.249 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 118.255 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 118.266 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 118.266 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 118.267 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 118.267 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 118.267 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 118.267 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 118.267 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 118.267 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 118.267 * [taylor]: Taking taylor expansion of 1/2 in k 118.267 * [backup-simplify]: Simplify 1/2 into 1/2 118.267 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 118.267 * [taylor]: Taking taylor expansion of 1 in k 118.267 * [backup-simplify]: Simplify 1 into 1 118.267 * [taylor]: Taking taylor expansion of (sqrt k) in k 118.267 * [taylor]: Taking taylor expansion of k in k 118.267 * [backup-simplify]: Simplify 0 into 0 118.267 * [backup-simplify]: Simplify 1 into 1 118.267 * [backup-simplify]: Simplify (sqrt 0) into 0 118.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.268 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 118.268 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 118.268 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 118.268 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 118.268 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 118.268 * [taylor]: Taking taylor expansion of (sqrt k) in k 118.268 * [taylor]: Taking taylor expansion of k in k 118.268 * [backup-simplify]: Simplify 0 into 0 118.268 * [backup-simplify]: Simplify 1 into 1 118.268 * [backup-simplify]: Simplify (sqrt 0) into 0 118.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.269 * [taylor]: Taking taylor expansion of 1 in k 118.269 * [backup-simplify]: Simplify 1 into 1 118.269 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 118.269 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 118.269 * [taylor]: Taking taylor expansion of 2 in k 118.269 * [backup-simplify]: Simplify 2 into 2 118.269 * [taylor]: Taking taylor expansion of (* n PI) in k 118.269 * [taylor]: Taking taylor expansion of n in k 118.269 * [backup-simplify]: Simplify n into n 118.269 * [taylor]: Taking taylor expansion of PI in k 118.269 * [backup-simplify]: Simplify PI into PI 118.269 * [backup-simplify]: Simplify (* n PI) into (* n PI) 118.269 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 118.270 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 118.270 * [backup-simplify]: Simplify (+ 0 1) into 1 118.270 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 118.270 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 118.270 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 118.271 * [backup-simplify]: Simplify (- 0) into 0 118.271 * [backup-simplify]: Simplify (+ 1 0) into 1 118.271 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 118.272 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 118.272 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 118.272 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 118.272 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 118.272 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 118.272 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 118.272 * [taylor]: Taking taylor expansion of 1/2 in n 118.272 * [backup-simplify]: Simplify 1/2 into 1/2 118.272 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 118.272 * [taylor]: Taking taylor expansion of 1 in n 118.272 * [backup-simplify]: Simplify 1 into 1 118.272 * [taylor]: Taking taylor expansion of (sqrt k) in n 118.272 * [taylor]: Taking taylor expansion of k in n 118.272 * [backup-simplify]: Simplify k into k 118.272 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 118.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 118.272 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 118.272 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 118.272 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 118.272 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 118.272 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 118.272 * [taylor]: Taking taylor expansion of (sqrt k) in n 118.272 * [taylor]: Taking taylor expansion of k in n 118.272 * [backup-simplify]: Simplify k into k 118.272 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 118.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 118.273 * [taylor]: Taking taylor expansion of 1 in n 118.273 * [backup-simplify]: Simplify 1 into 1 118.273 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 118.273 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 118.273 * [taylor]: Taking taylor expansion of 2 in n 118.273 * [backup-simplify]: Simplify 2 into 2 118.273 * [taylor]: Taking taylor expansion of (* n PI) in n 118.273 * [taylor]: Taking taylor expansion of n in n 118.273 * [backup-simplify]: Simplify 0 into 0 118.273 * [backup-simplify]: Simplify 1 into 1 118.273 * [taylor]: Taking taylor expansion of PI in n 118.273 * [backup-simplify]: Simplify PI into PI 118.273 * [backup-simplify]: Simplify (* 0 PI) into 0 118.274 * [backup-simplify]: Simplify (* 2 0) into 0 118.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 118.277 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 118.278 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.278 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 118.280 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 118.281 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 118.282 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 118.283 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 118.283 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 118.283 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 118.284 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 118.285 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 118.286 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 118.286 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 118.286 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 118.286 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 118.286 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 118.286 * [taylor]: Taking taylor expansion of 1/2 in n 118.286 * [backup-simplify]: Simplify 1/2 into 1/2 118.286 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 118.286 * [taylor]: Taking taylor expansion of 1 in n 118.286 * [backup-simplify]: Simplify 1 into 1 118.286 * [taylor]: Taking taylor expansion of (sqrt k) in n 118.286 * [taylor]: Taking taylor expansion of k in n 118.286 * [backup-simplify]: Simplify k into k 118.286 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 118.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 118.286 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 118.286 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 118.286 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 118.287 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 118.287 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 118.287 * [taylor]: Taking taylor expansion of (sqrt k) in n 118.287 * [taylor]: Taking taylor expansion of k in n 118.287 * [backup-simplify]: Simplify k into k 118.287 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 118.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 118.287 * [taylor]: Taking taylor expansion of 1 in n 118.287 * [backup-simplify]: Simplify 1 into 1 118.287 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 118.287 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 118.287 * [taylor]: Taking taylor expansion of 2 in n 118.287 * [backup-simplify]: Simplify 2 into 2 118.287 * [taylor]: Taking taylor expansion of (* n PI) in n 118.287 * [taylor]: Taking taylor expansion of n in n 118.287 * [backup-simplify]: Simplify 0 into 0 118.287 * [backup-simplify]: Simplify 1 into 1 118.287 * [taylor]: Taking taylor expansion of PI in n 118.287 * [backup-simplify]: Simplify PI into PI 118.288 * [backup-simplify]: Simplify (* 0 PI) into 0 118.288 * [backup-simplify]: Simplify (* 2 0) into 0 118.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 118.291 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 118.292 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.292 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 118.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 118.294 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 118.295 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 118.297 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 118.297 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 118.297 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 118.297 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 118.298 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 118.299 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 118.299 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 118.299 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 118.299 * [taylor]: Taking taylor expansion of 1/2 in k 118.299 * [backup-simplify]: Simplify 1/2 into 1/2 118.299 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 118.299 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 118.300 * [taylor]: Taking taylor expansion of (sqrt k) in k 118.300 * [taylor]: Taking taylor expansion of k in k 118.300 * [backup-simplify]: Simplify 0 into 0 118.300 * [backup-simplify]: Simplify 1 into 1 118.300 * [backup-simplify]: Simplify (sqrt 0) into 0 118.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.302 * [taylor]: Taking taylor expansion of 1 in k 118.302 * [backup-simplify]: Simplify 1 into 1 118.302 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 118.302 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 118.302 * [taylor]: Taking taylor expansion of 1 in k 118.302 * [backup-simplify]: Simplify 1 into 1 118.302 * [taylor]: Taking taylor expansion of (sqrt k) in k 118.302 * [taylor]: Taking taylor expansion of k in k 118.302 * [backup-simplify]: Simplify 0 into 0 118.302 * [backup-simplify]: Simplify 1 into 1 118.302 * [backup-simplify]: Simplify (sqrt 0) into 0 118.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.303 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 118.303 * [taylor]: Taking taylor expansion of (log n) in k 118.304 * [taylor]: Taking taylor expansion of n in k 118.304 * [backup-simplify]: Simplify n into n 118.304 * [backup-simplify]: Simplify (log n) into (log n) 118.304 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 118.304 * [taylor]: Taking taylor expansion of (* 2 PI) in k 118.304 * [taylor]: Taking taylor expansion of 2 in k 118.304 * [backup-simplify]: Simplify 2 into 2 118.304 * [taylor]: Taking taylor expansion of PI in k 118.304 * [backup-simplify]: Simplify PI into PI 118.304 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.305 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.306 * [backup-simplify]: Simplify (+ 0 1) into 1 118.306 * [backup-simplify]: Simplify (- 0) into 0 118.306 * [backup-simplify]: Simplify (+ 1 0) into 1 118.307 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 118.309 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 118.310 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 118.311 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 118.312 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 118.313 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 118.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 118.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 118.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 118.317 * [backup-simplify]: Simplify (+ 0 0) into 0 118.319 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 118.320 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 118.322 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 118.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 118.324 * [backup-simplify]: Simplify (- 0) into 0 118.324 * [backup-simplify]: Simplify (+ 0 0) into 0 118.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 118.326 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 118.328 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 118.328 * [taylor]: Taking taylor expansion of 0 in k 118.328 * [backup-simplify]: Simplify 0 into 0 118.328 * [backup-simplify]: Simplify 0 into 0 118.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 118.330 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 118.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 118.332 * [backup-simplify]: Simplify (+ 0 0) into 0 118.332 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.333 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.335 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 118.335 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.338 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.342 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.346 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 118.350 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 118.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 118.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 118.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 118.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 118.357 * [backup-simplify]: Simplify (+ 0 0) into 0 118.358 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 118.363 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 118.365 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 118.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 118.368 * [backup-simplify]: Simplify (- 0) into 0 118.368 * [backup-simplify]: Simplify (+ 0 0) into 0 118.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 118.370 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 118.372 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.372 * [taylor]: Taking taylor expansion of 0 in k 118.372 * [backup-simplify]: Simplify 0 into 0 118.372 * [backup-simplify]: Simplify 0 into 0 118.372 * [backup-simplify]: Simplify 0 into 0 118.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 118.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 118.375 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 118.375 * [backup-simplify]: Simplify (+ 0 0) into 0 118.377 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.378 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.382 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.386 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.390 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.394 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 118.401 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 118.416 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 118.417 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 118.417 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 118.417 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 118.417 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 118.417 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 118.417 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 118.417 * [taylor]: Taking taylor expansion of 1/2 in k 118.417 * [backup-simplify]: Simplify 1/2 into 1/2 118.417 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 118.417 * [taylor]: Taking taylor expansion of 1 in k 118.417 * [backup-simplify]: Simplify 1 into 1 118.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.417 * [taylor]: Taking taylor expansion of k in k 118.417 * [backup-simplify]: Simplify 0 into 0 118.417 * [backup-simplify]: Simplify 1 into 1 118.418 * [backup-simplify]: Simplify (/ 1 1) into 1 118.418 * [backup-simplify]: Simplify (sqrt 0) into 0 118.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.420 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 118.420 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 118.420 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 118.420 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 118.420 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 118.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.420 * [taylor]: Taking taylor expansion of k in k 118.420 * [backup-simplify]: Simplify 0 into 0 118.420 * [backup-simplify]: Simplify 1 into 1 118.420 * [backup-simplify]: Simplify (/ 1 1) into 1 118.421 * [backup-simplify]: Simplify (sqrt 0) into 0 118.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.422 * [taylor]: Taking taylor expansion of 1 in k 118.422 * [backup-simplify]: Simplify 1 into 1 118.422 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 118.422 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 118.422 * [taylor]: Taking taylor expansion of 2 in k 118.422 * [backup-simplify]: Simplify 2 into 2 118.422 * [taylor]: Taking taylor expansion of (/ PI n) in k 118.422 * [taylor]: Taking taylor expansion of PI in k 118.422 * [backup-simplify]: Simplify PI into PI 118.422 * [taylor]: Taking taylor expansion of n in k 118.422 * [backup-simplify]: Simplify n into n 118.422 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 118.422 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 118.422 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 118.422 * [backup-simplify]: Simplify (+ 0 0) into 0 118.423 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 118.423 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 118.423 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 118.423 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 118.424 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.424 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 118.424 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 118.424 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 118.425 * [backup-simplify]: Simplify (- 0) into 0 118.425 * [backup-simplify]: Simplify (+ 0 0) into 0 118.425 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.425 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 118.425 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 118.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 118.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 118.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.429 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.429 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 118.430 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 118.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 118.431 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.432 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 118.433 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 118.433 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 118.434 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 118.434 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 118.434 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 118.434 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 118.434 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 118.434 * [taylor]: Taking taylor expansion of 1/2 in n 118.434 * [backup-simplify]: Simplify 1/2 into 1/2 118.434 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 118.434 * [taylor]: Taking taylor expansion of 1 in n 118.434 * [backup-simplify]: Simplify 1 into 1 118.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 118.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 118.434 * [taylor]: Taking taylor expansion of k in n 118.434 * [backup-simplify]: Simplify k into k 118.434 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 118.434 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 118.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 118.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 118.434 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 118.434 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 118.434 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 118.434 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 118.434 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 118.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 118.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 118.434 * [taylor]: Taking taylor expansion of k in n 118.434 * [backup-simplify]: Simplify k into k 118.434 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 118.434 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 118.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 118.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 118.434 * [taylor]: Taking taylor expansion of 1 in n 118.434 * [backup-simplify]: Simplify 1 into 1 118.434 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 118.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 118.434 * [taylor]: Taking taylor expansion of 2 in n 118.434 * [backup-simplify]: Simplify 2 into 2 118.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.434 * [taylor]: Taking taylor expansion of PI in n 118.434 * [backup-simplify]: Simplify PI into PI 118.434 * [taylor]: Taking taylor expansion of n in n 118.435 * [backup-simplify]: Simplify 0 into 0 118.435 * [backup-simplify]: Simplify 1 into 1 118.435 * [backup-simplify]: Simplify (/ PI 1) into PI 118.435 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.436 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.436 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 118.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.437 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 118.438 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 118.439 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 118.439 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 118.439 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 118.439 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 118.440 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 118.441 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 118.441 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 118.441 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 118.441 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 118.441 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 118.441 * [taylor]: Taking taylor expansion of 1/2 in n 118.441 * [backup-simplify]: Simplify 1/2 into 1/2 118.441 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 118.441 * [taylor]: Taking taylor expansion of 1 in n 118.441 * [backup-simplify]: Simplify 1 into 1 118.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 118.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 118.441 * [taylor]: Taking taylor expansion of k in n 118.441 * [backup-simplify]: Simplify k into k 118.441 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 118.441 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 118.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 118.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 118.441 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 118.441 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 118.441 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 118.441 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 118.441 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 118.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 118.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 118.441 * [taylor]: Taking taylor expansion of k in n 118.441 * [backup-simplify]: Simplify k into k 118.441 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 118.441 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 118.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 118.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 118.441 * [taylor]: Taking taylor expansion of 1 in n 118.441 * [backup-simplify]: Simplify 1 into 1 118.441 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 118.441 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 118.441 * [taylor]: Taking taylor expansion of 2 in n 118.441 * [backup-simplify]: Simplify 2 into 2 118.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.441 * [taylor]: Taking taylor expansion of PI in n 118.441 * [backup-simplify]: Simplify PI into PI 118.441 * [taylor]: Taking taylor expansion of n in n 118.442 * [backup-simplify]: Simplify 0 into 0 118.442 * [backup-simplify]: Simplify 1 into 1 118.442 * [backup-simplify]: Simplify (/ PI 1) into PI 118.442 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.443 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.443 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 118.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.444 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 118.445 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 118.446 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 118.446 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 118.446 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 118.446 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 118.447 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 118.447 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 118.447 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 118.447 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 118.447 * [taylor]: Taking taylor expansion of 1/2 in k 118.447 * [backup-simplify]: Simplify 1/2 into 1/2 118.447 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 118.447 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 118.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.447 * [taylor]: Taking taylor expansion of k in k 118.448 * [backup-simplify]: Simplify 0 into 0 118.448 * [backup-simplify]: Simplify 1 into 1 118.448 * [backup-simplify]: Simplify (/ 1 1) into 1 118.448 * [backup-simplify]: Simplify (sqrt 0) into 0 118.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.449 * [taylor]: Taking taylor expansion of 1 in k 118.449 * [backup-simplify]: Simplify 1 into 1 118.449 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 118.449 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 118.449 * [taylor]: Taking taylor expansion of 1 in k 118.449 * [backup-simplify]: Simplify 1 into 1 118.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.449 * [taylor]: Taking taylor expansion of k in k 118.449 * [backup-simplify]: Simplify 0 into 0 118.449 * [backup-simplify]: Simplify 1 into 1 118.449 * [backup-simplify]: Simplify (/ 1 1) into 1 118.450 * [backup-simplify]: Simplify (sqrt 0) into 0 118.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.450 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 118.450 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 118.450 * [taylor]: Taking taylor expansion of (* 2 PI) in k 118.450 * [taylor]: Taking taylor expansion of 2 in k 118.451 * [backup-simplify]: Simplify 2 into 2 118.451 * [taylor]: Taking taylor expansion of PI in k 118.451 * [backup-simplify]: Simplify PI into PI 118.451 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.451 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 118.451 * [taylor]: Taking taylor expansion of (log n) in k 118.451 * [taylor]: Taking taylor expansion of n in k 118.451 * [backup-simplify]: Simplify n into n 118.452 * [backup-simplify]: Simplify (log n) into (log n) 118.452 * [backup-simplify]: Simplify (+ 0 0) into 0 118.452 * [backup-simplify]: Simplify (- 0) into 0 118.452 * [backup-simplify]: Simplify (+ 0 0) into 0 118.452 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 118.453 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 118.454 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 118.454 * [backup-simplify]: Simplify (* 0 0) into 0 118.454 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.455 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 118.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 118.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 118.458 * [backup-simplify]: Simplify (- 0) into 0 118.458 * [backup-simplify]: Simplify (+ 0 0) into 0 118.459 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.460 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 118.461 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.467 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.471 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 118.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 118.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 118.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 118.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 118.478 * [backup-simplify]: Simplify (- 0) into 0 118.479 * [backup-simplify]: Simplify (+ 0 0) into 0 118.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.483 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.484 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 118.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.488 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.488 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.492 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 118.493 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.495 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 118.497 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 118.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 118.498 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 118.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 118.499 * [backup-simplify]: Simplify (+ 0 0) into 0 118.500 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.501 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 118.503 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 118.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 118.504 * [backup-simplify]: Simplify (- 0) into 0 118.504 * [backup-simplify]: Simplify (+ 0 0) into 0 118.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 118.505 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 118.506 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 118.506 * [taylor]: Taking taylor expansion of 0 in k 118.506 * [backup-simplify]: Simplify 0 into 0 118.506 * [backup-simplify]: Simplify 0 into 0 118.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 118.510 * [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 0 118.512 * [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 0 118.512 * [backup-simplify]: Simplify (- 0) into 0 118.512 * [backup-simplify]: Simplify (+ 0 0) into 0 118.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.516 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.516 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.521 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.526 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 118.530 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.536 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 118.542 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 118.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 118.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 118.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 118.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 118.549 * [backup-simplify]: Simplify (+ 0 0) into 0 118.550 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 118.552 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 118.554 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 118.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 118.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 118.560 * [backup-simplify]: Simplify (- 0) into 0 118.560 * [backup-simplify]: Simplify (+ 0 0) into 0 118.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 118.563 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 118.565 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.565 * [taylor]: Taking taylor expansion of 0 in k 118.565 * [backup-simplify]: Simplify 0 into 0 118.565 * [backup-simplify]: Simplify 0 into 0 118.565 * [backup-simplify]: Simplify 0 into 0 118.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 118.579 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 118.584 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 118.591 * [backup-simplify]: Simplify (- 0) into 0 118.591 * [backup-simplify]: Simplify (+ 0 0) into 0 118.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.598 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.598 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.599 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 118.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.606 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.606 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.612 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 118.616 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 118.621 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 118.626 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 118.641 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 118.641 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 118.642 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 118.642 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 118.642 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 118.642 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 118.642 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 118.642 * [taylor]: Taking taylor expansion of 1/2 in k 118.642 * [backup-simplify]: Simplify 1/2 into 1/2 118.642 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 118.642 * [taylor]: Taking taylor expansion of 1 in k 118.642 * [backup-simplify]: Simplify 1 into 1 118.642 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.642 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.642 * [taylor]: Taking taylor expansion of -1 in k 118.642 * [backup-simplify]: Simplify -1 into -1 118.642 * [taylor]: Taking taylor expansion of k in k 118.642 * [backup-simplify]: Simplify 0 into 0 118.642 * [backup-simplify]: Simplify 1 into 1 118.642 * [backup-simplify]: Simplify (/ -1 1) into -1 118.643 * [backup-simplify]: Simplify (sqrt 0) into 0 118.645 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.645 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 118.645 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 118.645 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 118.645 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 118.645 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 118.645 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.645 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.645 * [taylor]: Taking taylor expansion of -1 in k 118.645 * [backup-simplify]: Simplify -1 into -1 118.645 * [taylor]: Taking taylor expansion of k in k 118.645 * [backup-simplify]: Simplify 0 into 0 118.645 * [backup-simplify]: Simplify 1 into 1 118.645 * [backup-simplify]: Simplify (/ -1 1) into -1 118.646 * [backup-simplify]: Simplify (sqrt 0) into 0 118.647 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.647 * [taylor]: Taking taylor expansion of 1 in k 118.647 * [backup-simplify]: Simplify 1 into 1 118.647 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 118.647 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 118.647 * [taylor]: Taking taylor expansion of -2 in k 118.647 * [backup-simplify]: Simplify -2 into -2 118.647 * [taylor]: Taking taylor expansion of (/ PI n) in k 118.647 * [taylor]: Taking taylor expansion of PI in k 118.647 * [backup-simplify]: Simplify PI into PI 118.647 * [taylor]: Taking taylor expansion of n in k 118.647 * [backup-simplify]: Simplify n into n 118.648 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 118.648 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 118.648 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 118.648 * [backup-simplify]: Simplify (+ 0 0) into 0 118.648 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 118.649 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 118.649 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 118.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 118.651 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.652 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 118.652 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 118.652 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 118.652 * [backup-simplify]: Simplify (- 0) into 0 118.653 * [backup-simplify]: Simplify (+ 0 0) into 0 118.653 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.653 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 118.654 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 118.655 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 118.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 118.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 118.660 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.661 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 118.663 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 118.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 118.664 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.665 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 118.667 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 118.668 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 118.668 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 118.668 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 118.668 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 118.668 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 118.668 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 118.668 * [taylor]: Taking taylor expansion of 1/2 in n 118.668 * [backup-simplify]: Simplify 1/2 into 1/2 118.668 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 118.668 * [taylor]: Taking taylor expansion of 1 in n 118.669 * [backup-simplify]: Simplify 1 into 1 118.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 118.669 * [taylor]: Taking taylor expansion of (/ -1 k) in n 118.669 * [taylor]: Taking taylor expansion of -1 in n 118.669 * [backup-simplify]: Simplify -1 into -1 118.669 * [taylor]: Taking taylor expansion of k in n 118.669 * [backup-simplify]: Simplify k into k 118.669 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 118.669 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 118.669 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 118.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 118.669 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 118.669 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 118.669 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 118.669 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 118.669 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 118.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 118.669 * [taylor]: Taking taylor expansion of (/ -1 k) in n 118.669 * [taylor]: Taking taylor expansion of -1 in n 118.669 * [backup-simplify]: Simplify -1 into -1 118.669 * [taylor]: Taking taylor expansion of k in n 118.669 * [backup-simplify]: Simplify k into k 118.670 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 118.670 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 118.670 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 118.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 118.670 * [taylor]: Taking taylor expansion of 1 in n 118.670 * [backup-simplify]: Simplify 1 into 1 118.670 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 118.670 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 118.670 * [taylor]: Taking taylor expansion of -2 in n 118.670 * [backup-simplify]: Simplify -2 into -2 118.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.670 * [taylor]: Taking taylor expansion of PI in n 118.670 * [backup-simplify]: Simplify PI into PI 118.670 * [taylor]: Taking taylor expansion of n in n 118.670 * [backup-simplify]: Simplify 0 into 0 118.670 * [backup-simplify]: Simplify 1 into 1 118.671 * [backup-simplify]: Simplify (/ PI 1) into PI 118.671 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.672 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 118.672 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 118.674 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.675 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 118.676 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 118.677 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 118.677 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 118.677 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 118.678 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 118.679 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 118.680 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 118.680 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 118.680 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 118.680 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 118.680 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 118.680 * [taylor]: Taking taylor expansion of 1/2 in n 118.680 * [backup-simplify]: Simplify 1/2 into 1/2 118.680 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 118.680 * [taylor]: Taking taylor expansion of 1 in n 118.680 * [backup-simplify]: Simplify 1 into 1 118.680 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 118.680 * [taylor]: Taking taylor expansion of (/ -1 k) in n 118.680 * [taylor]: Taking taylor expansion of -1 in n 118.681 * [backup-simplify]: Simplify -1 into -1 118.681 * [taylor]: Taking taylor expansion of k in n 118.681 * [backup-simplify]: Simplify k into k 118.681 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 118.681 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 118.681 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 118.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 118.681 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 118.681 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 118.681 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 118.681 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 118.681 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 118.681 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 118.681 * [taylor]: Taking taylor expansion of (/ -1 k) in n 118.681 * [taylor]: Taking taylor expansion of -1 in n 118.681 * [backup-simplify]: Simplify -1 into -1 118.681 * [taylor]: Taking taylor expansion of k in n 118.681 * [backup-simplify]: Simplify k into k 118.681 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 118.681 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 118.682 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 118.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 118.682 * [taylor]: Taking taylor expansion of 1 in n 118.682 * [backup-simplify]: Simplify 1 into 1 118.682 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 118.682 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 118.682 * [taylor]: Taking taylor expansion of -2 in n 118.682 * [backup-simplify]: Simplify -2 into -2 118.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.682 * [taylor]: Taking taylor expansion of PI in n 118.682 * [backup-simplify]: Simplify PI into PI 118.682 * [taylor]: Taking taylor expansion of n in n 118.682 * [backup-simplify]: Simplify 0 into 0 118.682 * [backup-simplify]: Simplify 1 into 1 118.683 * [backup-simplify]: Simplify (/ PI 1) into PI 118.683 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.684 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 118.684 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 118.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.687 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 118.688 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 118.689 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 118.689 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 118.689 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 118.689 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 118.691 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 118.692 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 118.692 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 118.692 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 118.692 * [taylor]: Taking taylor expansion of 1/2 in k 118.692 * [backup-simplify]: Simplify 1/2 into 1/2 118.692 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 118.692 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 118.692 * [taylor]: Taking taylor expansion of 1 in k 118.692 * [backup-simplify]: Simplify 1 into 1 118.692 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.692 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.692 * [taylor]: Taking taylor expansion of -1 in k 118.692 * [backup-simplify]: Simplify -1 into -1 118.692 * [taylor]: Taking taylor expansion of k in k 118.692 * [backup-simplify]: Simplify 0 into 0 118.692 * [backup-simplify]: Simplify 1 into 1 118.693 * [backup-simplify]: Simplify (/ -1 1) into -1 118.693 * [backup-simplify]: Simplify (sqrt 0) into 0 118.695 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.695 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 118.695 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 118.695 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 118.695 * [taylor]: Taking taylor expansion of (* -2 PI) in k 118.695 * [taylor]: Taking taylor expansion of -2 in k 118.695 * [backup-simplify]: Simplify -2 into -2 118.695 * [taylor]: Taking taylor expansion of PI in k 118.695 * [backup-simplify]: Simplify PI into PI 118.695 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.696 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 118.696 * [taylor]: Taking taylor expansion of (log n) in k 118.696 * [taylor]: Taking taylor expansion of n in k 118.696 * [backup-simplify]: Simplify n into n 118.696 * [backup-simplify]: Simplify (log n) into (log n) 118.697 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 118.697 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.697 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.697 * [taylor]: Taking taylor expansion of -1 in k 118.697 * [backup-simplify]: Simplify -1 into -1 118.697 * [taylor]: Taking taylor expansion of k in k 118.697 * [backup-simplify]: Simplify 0 into 0 118.697 * [backup-simplify]: Simplify 1 into 1 118.697 * [backup-simplify]: Simplify (/ -1 1) into -1 118.698 * [backup-simplify]: Simplify (sqrt 0) into 0 118.699 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.699 * [taylor]: Taking taylor expansion of 1 in k 118.699 * [backup-simplify]: Simplify 1 into 1 118.699 * [backup-simplify]: Simplify (- 0) into 0 118.700 * [backup-simplify]: Simplify (+ 0 0) into 0 118.700 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 118.701 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 118.702 * [backup-simplify]: Simplify (+ 0 0) into 0 118.703 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 118.703 * [backup-simplify]: Simplify (* 0 0) into 0 118.703 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.704 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 118.705 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 118.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 118.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 118.708 * [backup-simplify]: Simplify (- 0) into 0 118.708 * [backup-simplify]: Simplify (+ 0 0) into 0 118.716 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.716 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.716 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 118.718 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 118.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 118.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 118.721 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.721 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.722 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 118.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 118.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 118.725 * [backup-simplify]: Simplify (- 0) into 0 118.725 * [backup-simplify]: Simplify (+ 0 0) into 0 118.727 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 118.729 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.729 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.730 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.733 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 118.735 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.736 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 118.738 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 118.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 118.739 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 118.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 118.740 * [backup-simplify]: Simplify (+ 0 0) into 0 118.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.742 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 118.743 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 118.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 118.745 * [backup-simplify]: Simplify (- 0) into 0 118.745 * [backup-simplify]: Simplify (+ 0 0) into 0 118.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 118.746 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 118.748 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 118.748 * [taylor]: Taking taylor expansion of 0 in k 118.748 * [backup-simplify]: Simplify 0 into 0 118.748 * [backup-simplify]: Simplify 0 into 0 118.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.755 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 118.762 * [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 0 118.764 * [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 0 118.764 * [backup-simplify]: Simplify (- 0) into 0 118.764 * [backup-simplify]: Simplify (+ 0 0) into 0 118.766 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.769 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.769 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.775 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 118.777 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.781 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 118.784 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.785 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 118.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 118.787 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 118.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 118.788 * [backup-simplify]: Simplify (+ 0 0) into 0 118.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 118.790 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 118.792 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 118.796 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 118.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 118.797 * [backup-simplify]: Simplify (- 0) into 0 118.798 * [backup-simplify]: Simplify (+ 0 0) into 0 118.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 118.799 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 118.801 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.801 * [taylor]: Taking taylor expansion of 0 in k 118.801 * [backup-simplify]: Simplify 0 into 0 118.801 * [backup-simplify]: Simplify 0 into 0 118.801 * [backup-simplify]: Simplify 0 into 0 118.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.804 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 118.805 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 118.817 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 118.820 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 118.820 * [backup-simplify]: Simplify (- 0) into 0 118.820 * [backup-simplify]: Simplify (+ 0 0) into 0 118.822 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.825 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.826 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 118.833 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 118.839 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 118.847 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 118.859 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 118.878 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 118.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 118.879 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 118.879 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 118.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 118.879 * [taylor]: Taking taylor expansion of 2 in n 118.879 * [backup-simplify]: Simplify 2 into 2 118.879 * [taylor]: Taking taylor expansion of (* n PI) in n 118.879 * [taylor]: Taking taylor expansion of n in n 118.879 * [backup-simplify]: Simplify 0 into 0 118.879 * [backup-simplify]: Simplify 1 into 1 118.879 * [taylor]: Taking taylor expansion of PI in n 118.879 * [backup-simplify]: Simplify PI into PI 118.880 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 118.880 * [taylor]: Taking taylor expansion of 2 in n 118.880 * [backup-simplify]: Simplify 2 into 2 118.880 * [taylor]: Taking taylor expansion of (* n PI) in n 118.880 * [taylor]: Taking taylor expansion of n in n 118.880 * [backup-simplify]: Simplify 0 into 0 118.880 * [backup-simplify]: Simplify 1 into 1 118.880 * [taylor]: Taking taylor expansion of PI in n 118.880 * [backup-simplify]: Simplify PI into PI 118.880 * [backup-simplify]: Simplify (* 0 PI) into 0 118.881 * [backup-simplify]: Simplify (* 2 0) into 0 118.881 * [backup-simplify]: Simplify 0 into 0 118.882 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 118.884 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 118.884 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 118.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 118.886 * [backup-simplify]: Simplify 0 into 0 118.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 118.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 118.889 * [backup-simplify]: Simplify 0 into 0 118.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 118.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 118.891 * [backup-simplify]: Simplify 0 into 0 118.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 118.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 118.895 * [backup-simplify]: Simplify 0 into 0 118.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 118.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 118.898 * [backup-simplify]: Simplify 0 into 0 118.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 118.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 118.902 * [backup-simplify]: Simplify 0 into 0 118.902 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 118.903 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 118.903 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 118.903 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 118.903 * [taylor]: Taking taylor expansion of 2 in n 118.903 * [backup-simplify]: Simplify 2 into 2 118.903 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.903 * [taylor]: Taking taylor expansion of PI in n 118.903 * [backup-simplify]: Simplify PI into PI 118.903 * [taylor]: Taking taylor expansion of n in n 118.903 * [backup-simplify]: Simplify 0 into 0 118.903 * [backup-simplify]: Simplify 1 into 1 118.903 * [backup-simplify]: Simplify (/ PI 1) into PI 118.904 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 118.904 * [taylor]: Taking taylor expansion of 2 in n 118.904 * [backup-simplify]: Simplify 2 into 2 118.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.904 * [taylor]: Taking taylor expansion of PI in n 118.904 * [backup-simplify]: Simplify PI into PI 118.904 * [taylor]: Taking taylor expansion of n in n 118.904 * [backup-simplify]: Simplify 0 into 0 118.904 * [backup-simplify]: Simplify 1 into 1 118.904 * [backup-simplify]: Simplify (/ PI 1) into PI 118.905 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.905 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 118.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 118.907 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 118.907 * [backup-simplify]: Simplify 0 into 0 118.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 118.909 * [backup-simplify]: Simplify 0 into 0 118.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 118.911 * [backup-simplify]: Simplify 0 into 0 118.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 118.913 * [backup-simplify]: Simplify 0 into 0 118.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 118.916 * [backup-simplify]: Simplify 0 into 0 118.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 118.919 * [backup-simplify]: Simplify 0 into 0 118.919 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 118.920 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 118.920 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 118.920 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 118.920 * [taylor]: Taking taylor expansion of -2 in n 118.920 * [backup-simplify]: Simplify -2 into -2 118.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.920 * [taylor]: Taking taylor expansion of PI in n 118.920 * [backup-simplify]: Simplify PI into PI 118.920 * [taylor]: Taking taylor expansion of n in n 118.920 * [backup-simplify]: Simplify 0 into 0 118.920 * [backup-simplify]: Simplify 1 into 1 118.921 * [backup-simplify]: Simplify (/ PI 1) into PI 118.921 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 118.921 * [taylor]: Taking taylor expansion of -2 in n 118.921 * [backup-simplify]: Simplify -2 into -2 118.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 118.921 * [taylor]: Taking taylor expansion of PI in n 118.921 * [backup-simplify]: Simplify PI into PI 118.921 * [taylor]: Taking taylor expansion of n in n 118.921 * [backup-simplify]: Simplify 0 into 0 118.921 * [backup-simplify]: Simplify 1 into 1 118.921 * [backup-simplify]: Simplify (/ PI 1) into PI 118.922 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.923 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 118.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 118.924 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 118.924 * [backup-simplify]: Simplify 0 into 0 118.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.926 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 118.926 * [backup-simplify]: Simplify 0 into 0 118.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.928 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 118.928 * [backup-simplify]: Simplify 0 into 0 118.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.930 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 118.930 * [backup-simplify]: Simplify 0 into 0 118.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.932 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 118.932 * [backup-simplify]: Simplify 0 into 0 118.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.933 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 118.933 * [backup-simplify]: Simplify 0 into 0 118.934 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 118.934 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 118.934 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 118.934 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 118.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.934 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.934 * [taylor]: Taking taylor expansion of k in k 118.934 * [backup-simplify]: Simplify 0 into 0 118.934 * [backup-simplify]: Simplify 1 into 1 118.939 * [backup-simplify]: Simplify (/ 1 1) into 1 118.940 * [backup-simplify]: Simplify (sqrt 0) into 0 118.941 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 118.941 * [taylor]: Taking taylor expansion of (/ 1 k) in k 118.941 * [taylor]: Taking taylor expansion of k in k 118.941 * [backup-simplify]: Simplify 0 into 0 118.941 * [backup-simplify]: Simplify 1 into 1 118.941 * [backup-simplify]: Simplify (/ 1 1) into 1 118.942 * [backup-simplify]: Simplify (sqrt 0) into 0 118.942 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.943 * [backup-simplify]: Simplify 0 into 0 118.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 118.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.945 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 118.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 118.948 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 118.948 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 118.948 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 118.948 * [taylor]: Taking taylor expansion of (sqrt k) in k 118.948 * [taylor]: Taking taylor expansion of k in k 118.948 * [backup-simplify]: Simplify 0 into 0 118.948 * [backup-simplify]: Simplify 1 into 1 118.949 * [backup-simplify]: Simplify (sqrt 0) into 0 118.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.949 * [taylor]: Taking taylor expansion of (sqrt k) in k 118.949 * [taylor]: Taking taylor expansion of k in k 118.949 * [backup-simplify]: Simplify 0 into 0 118.949 * [backup-simplify]: Simplify 1 into 1 118.950 * [backup-simplify]: Simplify (sqrt 0) into 0 118.950 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 118.951 * [backup-simplify]: Simplify 0 into 0 118.951 * [backup-simplify]: Simplify +nan.0 into +nan.0 118.952 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 118.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 118.955 * [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)))))))) 118.955 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 118.955 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 118.955 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 118.955 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.955 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.955 * [taylor]: Taking taylor expansion of -1 in k 118.955 * [backup-simplify]: Simplify -1 into -1 118.955 * [taylor]: Taking taylor expansion of k in k 118.955 * [backup-simplify]: Simplify 0 into 0 118.955 * [backup-simplify]: Simplify 1 into 1 118.955 * [backup-simplify]: Simplify (/ -1 1) into -1 118.956 * [backup-simplify]: Simplify (sqrt 0) into 0 118.957 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.957 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 118.957 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 118.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 118.957 * [taylor]: Taking taylor expansion of (/ -1 k) in k 118.957 * [taylor]: Taking taylor expansion of -1 in k 118.957 * [backup-simplify]: Simplify -1 into -1 118.957 * [taylor]: Taking taylor expansion of k in k 118.957 * [backup-simplify]: Simplify 0 into 0 118.957 * [backup-simplify]: Simplify 1 into 1 118.958 * [backup-simplify]: Simplify (/ -1 1) into -1 118.958 * [backup-simplify]: Simplify (sqrt 0) into 0 118.959 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 118.960 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 118.960 * [backup-simplify]: Simplify +nan.0 into +nan.0 118.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 118.963 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 118.965 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 118.966 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 118.974 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 118.975 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 118.976 * [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))))) 118.976 * * * [progress]: simplifying candidates 118.976 * * * * [progress]: [ 1 / 166 ] simplifiying candidate # 118.976 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 118.977 * * [simplify]: iters left: 6 (14 enodes) 118.984 * * [simplify]: iters left: 5 (50 enodes) 118.999 * * [simplify]: iters left: 4 (84 enodes) 119.035 * * [simplify]: iters left: 3 (223 enodes) 119.129 * * [simplify]: iters left: 2 (417 enodes) 119.378 * * [simplify]: Extracting #0: cost 1 inf + 0 119.378 * * [simplify]: Extracting #1: cost 82 inf + 0 119.380 * * [simplify]: Extracting #2: cost 286 inf + 1 119.382 * * [simplify]: Extracting #3: cost 273 inf + 2455 119.390 * * [simplify]: Extracting #4: cost 237 inf + 11703 119.401 * * [simplify]: Extracting #5: cost 42 inf + 77895 119.423 * * [simplify]: Extracting #6: cost 0 inf + 92866 119.445 * * [simplify]: Extracting #7: cost 0 inf + 92863 119.464 * [simplify]: Simplified to (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI)))) 119.464 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 119.464 * * * * [progress]: [ 2 / 166 ] simplifiying candidate # 119.465 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 119.465 * * [simplify]: iters left: 6 (13 enodes) 119.472 * * [simplify]: iters left: 5 (48 enodes) 119.488 * * [simplify]: iters left: 4 (77 enodes) 119.509 * * [simplify]: iters left: 3 (175 enodes) 119.569 * * [simplify]: iters left: 2 (359 enodes) 119.760 * * [simplify]: Extracting #0: cost 1 inf + 0 119.760 * * [simplify]: Extracting #1: cost 77 inf + 0 119.761 * * [simplify]: Extracting #2: cost 249 inf + 1 119.764 * * [simplify]: Extracting #3: cost 238 inf + 1489 119.766 * * [simplify]: Extracting #4: cost 225 inf + 3319 119.772 * * [simplify]: Extracting #5: cost 184 inf + 14577 119.788 * * [simplify]: Extracting #6: cost 20 inf + 68948 119.802 * * [simplify]: Extracting #7: cost 0 inf + 76453 119.827 * * [simplify]: Extracting #8: cost 0 inf + 76372 119.842 * [simplify]: Simplified to (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI)))) 119.842 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 119.842 * * * * [progress]: [ 3 / 166 ] simplifiying candidate # 119.842 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 119.842 * * [simplify]: iters left: 6 (12 enodes) 119.846 * * [simplify]: iters left: 5 (47 enodes) 119.854 * * [simplify]: iters left: 4 (84 enodes) 119.875 * * [simplify]: iters left: 3 (178 enodes) 119.935 * * [simplify]: iters left: 2 (374 enodes) 120.136 * * [simplify]: Extracting #0: cost 1 inf + 0 120.137 * * [simplify]: Extracting #1: cost 80 inf + 0 120.137 * * [simplify]: Extracting #2: cost 245 inf + 1 120.138 * * [simplify]: Extracting #3: cost 238 inf + 986 120.140 * * [simplify]: Extracting #4: cost 201 inf + 6718 120.150 * * [simplify]: Extracting #5: cost 27 inf + 57296 120.172 * * [simplify]: Extracting #6: cost 0 inf + 66670 120.190 * [simplify]: Simplified to (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n))) 120.191 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.191 * * * * [progress]: [ 4 / 166 ] simplifiying candidate # 120.191 * * * * [progress]: [ 5 / 166 ] simplifiying candidate # 120.191 * [simplify]: Simplifying (* n (* 2 PI)) 120.191 * * [simplify]: iters left: 4 (5 enodes) 120.193 * * [simplify]: iters left: 3 (19 enodes) 120.196 * * [simplify]: iters left: 2 (27 enodes) 120.200 * * [simplify]: iters left: 1 (32 enodes) 120.208 * * [simplify]: Extracting #0: cost 1 inf + 0 120.208 * * [simplify]: Extracting #1: cost 8 inf + 0 120.208 * * [simplify]: Extracting #2: cost 7 inf + 45 120.208 * * [simplify]: Extracting #3: cost 0 inf + 421 120.209 * [simplify]: Simplified to (* (* PI 2) n) 120.209 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.209 * * * * [progress]: [ 6 / 166 ] simplifiying candidate # 120.209 * [simplify]: Simplifying (* n (* 2 PI)) 120.209 * * [simplify]: iters left: 4 (5 enodes) 120.210 * * [simplify]: iters left: 3 (19 enodes) 120.213 * * [simplify]: iters left: 2 (27 enodes) 120.220 * * [simplify]: iters left: 1 (32 enodes) 120.228 * * [simplify]: Extracting #0: cost 1 inf + 0 120.228 * * [simplify]: Extracting #1: cost 8 inf + 0 120.228 * * [simplify]: Extracting #2: cost 7 inf + 45 120.229 * * [simplify]: Extracting #3: cost 0 inf + 421 120.229 * [simplify]: Simplified to (* (* PI 2) n) 120.229 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.229 * * * * [progress]: [ 7 / 166 ] simplifiying candidate # 120.229 * [simplify]: Simplifying (* n (* 2 PI)) 120.230 * * [simplify]: iters left: 4 (5 enodes) 120.232 * * [simplify]: iters left: 3 (19 enodes) 120.238 * * [simplify]: iters left: 2 (27 enodes) 120.246 * * [simplify]: iters left: 1 (32 enodes) 120.254 * * [simplify]: Extracting #0: cost 1 inf + 0 120.254 * * [simplify]: Extracting #1: cost 8 inf + 0 120.254 * * [simplify]: Extracting #2: cost 7 inf + 45 120.254 * * [simplify]: Extracting #3: cost 0 inf + 421 120.255 * [simplify]: Simplified to (* (* PI 2) n) 120.255 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.255 * * * * [progress]: [ 8 / 166 ] simplifiying candidate # 120.255 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 120.255 * * [simplify]: iters left: 6 (6 enodes) 120.258 * * [simplify]: iters left: 5 (19 enodes) 120.264 * * [simplify]: iters left: 4 (21 enodes) 120.270 * * [simplify]: Extracting #0: cost 1 inf + 0 120.270 * * [simplify]: Extracting #1: cost 3 inf + 0 120.270 * * [simplify]: Extracting #2: cost 6 inf + 0 120.270 * * [simplify]: Extracting #3: cost 7 inf + 1 120.271 * * [simplify]: Extracting #4: cost 0 inf + 572 120.271 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 120.271 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.271 * * * * [progress]: [ 9 / 166 ] simplifiying candidate # 120.271 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 120.271 * * [simplify]: iters left: 6 (6 enodes) 120.274 * * [simplify]: iters left: 5 (19 enodes) 120.277 * * [simplify]: iters left: 4 (21 enodes) 120.281 * * [simplify]: Extracting #0: cost 1 inf + 0 120.281 * * [simplify]: Extracting #1: cost 3 inf + 0 120.281 * * [simplify]: Extracting #2: cost 6 inf + 0 120.281 * * [simplify]: Extracting #3: cost 7 inf + 1 120.281 * * [simplify]: Extracting #4: cost 0 inf + 492 120.281 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 120.281 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.281 * * * * [progress]: [ 10 / 166 ] simplifiying candidate # 120.281 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 120.281 * * [simplify]: iters left: 6 (7 enodes) 120.284 * * [simplify]: iters left: 5 (24 enodes) 120.287 * * [simplify]: iters left: 4 (26 enodes) 120.291 * * [simplify]: iters left: 3 (28 enodes) 120.294 * * [simplify]: Extracting #0: cost 1 inf + 0 120.294 * * [simplify]: Extracting #1: cost 4 inf + 0 120.295 * * [simplify]: Extracting #2: cost 5 inf + 1 120.295 * * [simplify]: Extracting #3: cost 7 inf + 1 120.295 * * [simplify]: Extracting #4: cost 0 inf + 572 120.295 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 120.295 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.295 * * * * [progress]: [ 11 / 166 ] simplifiying candidate # 120.295 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 120.295 * * [simplify]: iters left: 6 (7 enodes) 120.297 * * [simplify]: iters left: 5 (24 enodes) 120.301 * * [simplify]: iters left: 4 (26 enodes) 120.307 * * [simplify]: iters left: 3 (28 enodes) 120.314 * * [simplify]: Extracting #0: cost 1 inf + 0 120.314 * * [simplify]: Extracting #1: cost 4 inf + 0 120.314 * * [simplify]: Extracting #2: cost 5 inf + 1 120.314 * * [simplify]: Extracting #3: cost 7 inf + 1 120.314 * * [simplify]: Extracting #4: cost 0 inf + 572 120.314 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 120.314 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.315 * * * * [progress]: [ 12 / 166 ] simplifiying candidate # 120.315 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 120.315 * * [simplify]: iters left: 6 (6 enodes) 120.318 * * [simplify]: iters left: 5 (19 enodes) 120.324 * * [simplify]: iters left: 4 (21 enodes) 120.330 * * [simplify]: Extracting #0: cost 1 inf + 0 120.330 * * [simplify]: Extracting #1: cost 4 inf + 0 120.330 * * [simplify]: Extracting #2: cost 5 inf + 1 120.330 * * [simplify]: Extracting #3: cost 7 inf + 1 120.330 * * [simplify]: Extracting #4: cost 0 inf + 572 120.330 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 120.330 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.330 * * * * [progress]: [ 13 / 166 ] simplifiying candidate # 120.331 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 120.331 * * [simplify]: iters left: 6 (7 enodes) 120.338 * * [simplify]: iters left: 5 (24 enodes) 120.345 * * [simplify]: iters left: 4 (26 enodes) 120.351 * * [simplify]: iters left: 3 (28 enodes) 120.355 * * [simplify]: Extracting #0: cost 1 inf + 0 120.355 * * [simplify]: Extracting #1: cost 4 inf + 0 120.355 * * [simplify]: Extracting #2: cost 5 inf + 1 120.355 * * [simplify]: Extracting #3: cost 7 inf + 1 120.355 * * [simplify]: Extracting #4: cost 0 inf + 492 120.355 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 120.355 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.355 * * * * [progress]: [ 14 / 166 ] simplifiying candidate # 120.355 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 120.356 * * [simplify]: iters left: 6 (7 enodes) 120.357 * * [simplify]: iters left: 5 (24 enodes) 120.361 * * [simplify]: iters left: 4 (26 enodes) 120.364 * * [simplify]: iters left: 3 (28 enodes) 120.368 * * [simplify]: Extracting #0: cost 1 inf + 0 120.368 * * [simplify]: Extracting #1: cost 4 inf + 0 120.368 * * [simplify]: Extracting #2: cost 5 inf + 1 120.368 * * [simplify]: Extracting #3: cost 7 inf + 1 120.368 * * [simplify]: Extracting #4: cost 0 inf + 492 120.368 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 120.368 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.368 * * * * [progress]: [ 15 / 166 ] simplifiying candidate # 120.368 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 120.368 * * [simplify]: iters left: 6 (6 enodes) 120.370 * * [simplify]: iters left: 5 (19 enodes) 120.373 * * [simplify]: iters left: 4 (21 enodes) 120.375 * * [simplify]: Extracting #0: cost 1 inf + 0 120.375 * * [simplify]: Extracting #1: cost 4 inf + 0 120.375 * * [simplify]: Extracting #2: cost 5 inf + 1 120.376 * * [simplify]: Extracting #3: cost 7 inf + 1 120.376 * * [simplify]: Extracting #4: cost 0 inf + 492 120.376 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 120.376 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.376 * * * * [progress]: [ 16 / 166 ] simplifiying candidate # 120.376 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 120.376 * * [simplify]: iters left: 5 (6 enodes) 120.379 * * [simplify]: iters left: 4 (21 enodes) 120.385 * * [simplify]: iters left: 3 (23 enodes) 120.392 * * [simplify]: iters left: 2 (25 enodes) 120.397 * * [simplify]: Extracting #0: cost 1 inf + 0 120.398 * * [simplify]: Extracting #1: cost 4 inf + 0 120.398 * * [simplify]: Extracting #2: cost 5 inf + 1 120.398 * * [simplify]: Extracting #3: cost 4 inf + 2 120.398 * * [simplify]: Extracting #4: cost 1 inf + 166 120.398 * * [simplify]: Extracting #5: cost 0 inf + 248 120.398 * [simplify]: Simplified to (+ 1 (sqrt k)) 120.398 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.398 * * * * [progress]: [ 17 / 166 ] simplifiying candidate # 120.399 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 120.399 * * [simplify]: iters left: 5 (6 enodes) 120.404 * * [simplify]: iters left: 4 (21 enodes) 120.410 * * [simplify]: iters left: 3 (23 enodes) 120.416 * * [simplify]: iters left: 2 (25 enodes) 120.422 * * [simplify]: Extracting #0: cost 1 inf + 0 120.422 * * [simplify]: Extracting #1: cost 4 inf + 0 120.422 * * [simplify]: Extracting #2: cost 5 inf + 1 120.422 * * [simplify]: Extracting #3: cost 4 inf + 2 120.422 * * [simplify]: Extracting #4: cost 1 inf + 166 120.422 * * [simplify]: Extracting #5: cost 0 inf + 248 120.423 * [simplify]: Simplified to (+ 1 (sqrt k)) 120.423 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.423 * * * * [progress]: [ 18 / 166 ] simplifiying candidate # 120.423 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 120.423 * * [simplify]: iters left: 5 (5 enodes) 120.426 * * [simplify]: iters left: 4 (16 enodes) 120.431 * * [simplify]: iters left: 3 (18 enodes) 120.437 * * [simplify]: Extracting #0: cost 1 inf + 0 120.437 * * [simplify]: Extracting #1: cost 4 inf + 0 120.437 * * [simplify]: Extracting #2: cost 5 inf + 1 120.437 * * [simplify]: Extracting #3: cost 1 inf + 166 120.437 * * [simplify]: Extracting #4: cost 0 inf + 248 120.437 * [simplify]: Simplified to (+ 1 (sqrt k)) 120.437 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.437 * * * * [progress]: [ 19 / 166 ] simplifiying candidate # 120.438 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 120.438 * * [simplify]: iters left: 5 (7 enodes) 120.444 * * [simplify]: iters left: 4 (24 enodes) 120.450 * * [simplify]: iters left: 3 (26 enodes) 120.456 * * [simplify]: iters left: 2 (28 enodes) 120.463 * * [simplify]: Extracting #0: cost 1 inf + 0 120.463 * * [simplify]: Extracting #1: cost 4 inf + 0 120.463 * * [simplify]: Extracting #2: cost 5 inf + 1 120.463 * * [simplify]: Extracting #3: cost 4 inf + 2 120.463 * * [simplify]: Extracting #4: cost 1 inf + 166 120.463 * * [simplify]: Extracting #5: cost 0 inf + 248 120.463 * [simplify]: Simplified to (+ (sqrt k) 1) 120.463 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.464 * * * * [progress]: [ 20 / 166 ] simplifiying candidate # 120.464 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 120.464 * * [simplify]: iters left: 5 (6 enodes) 120.471 * * [simplify]: iters left: 4 (21 enodes) 120.477 * * [simplify]: iters left: 3 (23 enodes) 120.483 * * [simplify]: iters left: 2 (25 enodes) 120.488 * * [simplify]: Extracting #0: cost 1 inf + 0 120.488 * * [simplify]: Extracting #1: cost 4 inf + 0 120.489 * * [simplify]: Extracting #2: cost 5 inf + 1 120.489 * * [simplify]: Extracting #3: cost 1 inf + 166 120.489 * * [simplify]: Extracting #4: cost 0 inf + 248 120.489 * [simplify]: Simplified to (+ (sqrt k) 1) 120.489 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.489 * * * * [progress]: [ 21 / 166 ] simplifiying candidate # 120.490 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 120.490 * * [simplify]: iters left: 5 (6 enodes) 120.494 * * [simplify]: iters left: 4 (19 enodes) 120.499 * * [simplify]: iters left: 3 (21 enodes) 120.504 * * [simplify]: Extracting #0: cost 1 inf + 0 120.504 * * [simplify]: Extracting #1: cost 4 inf + 0 120.505 * * [simplify]: Extracting #2: cost 5 inf + 1 120.505 * * [simplify]: Extracting #3: cost 0 inf + 248 120.505 * [simplify]: Simplified to (+ (sqrt k) 1) 120.505 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.505 * * * * [progress]: [ 22 / 166 ] simplifiying candidate # 120.505 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 120.505 * * [simplify]: iters left: 5 (6 enodes) 120.510 * * [simplify]: iters left: 4 (21 enodes) 120.515 * * [simplify]: iters left: 3 (23 enodes) 120.519 * * [simplify]: iters left: 2 (25 enodes) 120.522 * * [simplify]: Extracting #0: cost 1 inf + 0 120.522 * * [simplify]: Extracting #1: cost 4 inf + 0 120.522 * * [simplify]: Extracting #2: cost 5 inf + 1 120.522 * * [simplify]: Extracting #3: cost 4 inf + 2 120.522 * * [simplify]: Extracting #4: cost 1 inf + 166 120.522 * * [simplify]: Extracting #5: cost 0 inf + 248 120.522 * [simplify]: Simplified to (+ 1 (sqrt k)) 120.522 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.522 * * * * [progress]: [ 23 / 166 ] simplifiying candidate # 120.523 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 120.523 * * [simplify]: iters left: 5 (6 enodes) 120.526 * * [simplify]: iters left: 4 (21 enodes) 120.529 * * [simplify]: iters left: 3 (23 enodes) 120.532 * * [simplify]: iters left: 2 (25 enodes) 120.535 * * [simplify]: Extracting #0: cost 1 inf + 0 120.535 * * [simplify]: Extracting #1: cost 4 inf + 0 120.535 * * [simplify]: Extracting #2: cost 5 inf + 1 120.535 * * [simplify]: Extracting #3: cost 4 inf + 2 120.535 * * [simplify]: Extracting #4: cost 1 inf + 166 120.535 * * [simplify]: Extracting #5: cost 0 inf + 248 120.536 * [simplify]: Simplified to (+ 1 (sqrt k)) 120.536 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.536 * * * * [progress]: [ 24 / 166 ] simplifiying candidate # 120.536 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 120.536 * * [simplify]: iters left: 5 (5 enodes) 120.538 * * [simplify]: iters left: 4 (16 enodes) 120.540 * * [simplify]: iters left: 3 (18 enodes) 120.544 * * [simplify]: Extracting #0: cost 1 inf + 0 120.544 * * [simplify]: Extracting #1: cost 4 inf + 0 120.544 * * [simplify]: Extracting #2: cost 5 inf + 1 120.544 * * [simplify]: Extracting #3: cost 1 inf + 166 120.545 * * [simplify]: Extracting #4: cost 0 inf + 248 120.545 * [simplify]: Simplified to (+ 1 (sqrt k)) 120.545 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.545 * * * * [progress]: [ 25 / 166 ] simplifiying candidate # 120.545 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 120.545 * * [simplify]: iters left: 5 (5 enodes) 120.548 * * [simplify]: iters left: 4 (16 enodes) 120.553 * * [simplify]: iters left: 3 (18 enodes) 120.558 * * [simplify]: Extracting #0: cost 1 inf + 0 120.558 * * [simplify]: Extracting #1: cost 4 inf + 0 120.558 * * [simplify]: Extracting #2: cost 5 inf + 1 120.558 * * [simplify]: Extracting #3: cost 1 inf + 166 120.558 * * [simplify]: Extracting #4: cost 0 inf + 248 120.558 * [simplify]: Simplified to (+ 1 (sqrt k)) 120.558 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.559 * * * * [progress]: [ 26 / 166 ] simplifiying candidate # 120.559 * [simplify]: Simplifying (/ 1 1) 120.559 * * [simplify]: iters left: 2 (2 enodes) 120.560 * * [simplify]: iters left: 1 (6 enodes) 120.563 * * [simplify]: Extracting #0: cost 1 inf + 0 120.563 * * [simplify]: Extracting #1: cost 0 inf + 1 120.563 * [simplify]: Simplified to 1 120.563 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.563 * * * * [progress]: [ 27 / 166 ] simplifiying candidate # 120.563 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 120.563 * * [simplify]: iters left: 6 (7 enodes) 120.567 * * [simplify]: iters left: 5 (26 enodes) 120.575 * * [simplify]: iters left: 4 (39 enodes) 120.589 * * [simplify]: iters left: 3 (65 enodes) 120.616 * * [simplify]: iters left: 2 (127 enodes) 120.651 * * [simplify]: iters left: 1 (256 enodes) 120.753 * * [simplify]: Extracting #0: cost 1 inf + 0 120.753 * * [simplify]: Extracting #1: cost 26 inf + 0 120.754 * * [simplify]: Extracting #2: cost 88 inf + 2 120.755 * * [simplify]: Extracting #3: cost 119 inf + 7 120.756 * * [simplify]: Extracting #4: cost 116 inf + 135 120.757 * * [simplify]: Extracting #5: cost 97 inf + 2803 120.764 * * [simplify]: Extracting #6: cost 40 inf + 25495 120.776 * * [simplify]: Extracting #7: cost 11 inf + 43817 120.788 * * [simplify]: Extracting #8: cost 0 inf + 52114 120.795 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 120.795 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 120.795 * * * * [progress]: [ 28 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 29 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 30 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 31 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 32 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 33 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 34 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 35 / 166 ] simplifiying candidate # 120.795 * * * * [progress]: [ 36 / 166 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))> 120.795 * * * * [progress]: [ 37 / 166 ] simplifiying candidate # 120.796 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 120.796 * * [simplify]: iters left: 6 (17 enodes) 120.801 * * [simplify]: iters left: 5 (70 enodes) 120.819 * * [simplify]: iters left: 4 (136 enodes) 120.883 * * [simplify]: Extracting #0: cost 1 inf + 0 120.883 * * [simplify]: Extracting #1: cost 51 inf + 0 120.884 * * [simplify]: Extracting #2: cost 133 inf + 2 120.884 * * [simplify]: Extracting #3: cost 177 inf + 186 120.885 * * [simplify]: Extracting #4: cost 167 inf + 1031 120.886 * * [simplify]: Extracting #5: cost 114 inf + 10315 120.892 * * [simplify]: Extracting #6: cost 16 inf + 41953 120.904 * * [simplify]: Extracting #7: cost 0 inf + 47757 120.912 * [simplify]: Simplified to (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)) 120.913 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 120.913 * * * * [progress]: [ 38 / 166 ] simplifiying candidate # 120.913 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 120.913 * * [simplify]: iters left: 6 (16 enodes) 120.918 * * [simplify]: iters left: 5 (68 enodes) 120.941 * * [simplify]: iters left: 4 (129 enodes) 121.002 * * [simplify]: iters left: 3 (421 enodes) 121.336 * * [simplify]: Extracting #0: cost 1 inf + 0 121.336 * * [simplify]: Extracting #1: cost 67 inf + 0 121.337 * * [simplify]: Extracting #2: cost 263 inf + 2 121.338 * * [simplify]: Extracting #3: cost 375 inf + 74 121.344 * * [simplify]: Extracting #4: cost 228 inf + 37236 121.364 * * [simplify]: Extracting #5: cost 17 inf + 103523 121.414 * * [simplify]: Extracting #6: cost 0 inf + 111259 121.439 * * [simplify]: Extracting #7: cost 0 inf + 111252 121.478 * [simplify]: Simplified to (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) 121.479 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 121.479 * * * * [progress]: [ 39 / 166 ] simplifiying candidate # 121.479 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 121.479 * * [simplify]: iters left: 6 (15 enodes) 121.484 * * [simplify]: iters left: 5 (67 enodes) 121.496 * * [simplify]: iters left: 4 (136 enodes) 121.547 * * [simplify]: iters left: 3 (395 enodes) 121.795 * * [simplify]: Extracting #0: cost 1 inf + 0 121.795 * * [simplify]: Extracting #1: cost 63 inf + 0 121.797 * * [simplify]: Extracting #2: cost 241 inf + 2 121.800 * * [simplify]: Extracting #3: cost 359 inf + 298 121.805 * * [simplify]: Extracting #4: cost 307 inf + 10117 121.823 * * [simplify]: Extracting #5: cost 143 inf + 53720 121.851 * * [simplify]: Extracting #6: cost 16 inf + 89644 121.876 * * [simplify]: Extracting #7: cost 0 inf + 95108 121.917 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 121.917 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 121.917 * * * * [progress]: [ 40 / 166 ] simplifiying candidate # 121.917 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 121.917 * * [simplify]: iters left: 6 (15 enodes) 121.922 * * [simplify]: iters left: 5 (67 enodes) 121.933 * * [simplify]: iters left: 4 (136 enodes) 121.991 * * [simplify]: iters left: 3 (395 enodes) 122.243 * * [simplify]: Extracting #0: cost 1 inf + 0 122.243 * * [simplify]: Extracting #1: cost 63 inf + 0 122.245 * * [simplify]: Extracting #2: cost 241 inf + 2 122.247 * * [simplify]: Extracting #3: cost 359 inf + 298 122.254 * * [simplify]: Extracting #4: cost 307 inf + 10117 122.269 * * [simplify]: Extracting #5: cost 143 inf + 53720 122.288 * * [simplify]: Extracting #6: cost 16 inf + 89644 122.309 * * [simplify]: Extracting #7: cost 0 inf + 95108 122.347 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 122.347 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 122.347 * * * * [progress]: [ 41 / 166 ] simplifiying candidate # 122.347 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 122.347 * * [simplify]: iters left: 6 (15 enodes) 122.356 * * [simplify]: iters left: 5 (64 enodes) 122.380 * * [simplify]: iters left: 4 (120 enodes) 122.426 * * [simplify]: iters left: 3 (293 enodes) 122.627 * * [simplify]: Extracting #0: cost 1 inf + 0 122.628 * * [simplify]: Extracting #1: cost 53 inf + 0 122.629 * * [simplify]: Extracting #2: cost 235 inf + 2 122.631 * * [simplify]: Extracting #3: cost 342 inf + 298 122.636 * * [simplify]: Extracting #4: cost 274 inf + 14535 122.654 * * [simplify]: Extracting #5: cost 61 inf + 69533 122.671 * * [simplify]: Extracting #6: cost 10 inf + 85983 122.704 * * [simplify]: Extracting #7: cost 0 inf + 90234 122.740 * * [simplify]: Extracting #8: cost 0 inf + 90025 122.775 * [simplify]: Simplified to (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2) 122.775 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2)) (/ 1 (sqrt k)))) 122.775 * * * * [progress]: [ 42 / 166 ] simplifiying candidate # 122.776 * * * * [progress]: [ 43 / 166 ] simplifiying candidate # 122.776 * [simplify]: Simplifying (* n (* 2 PI)) 122.776 * * [simplify]: iters left: 4 (5 enodes) 122.779 * * [simplify]: iters left: 3 (19 enodes) 122.785 * * [simplify]: iters left: 2 (27 enodes) 122.793 * * [simplify]: iters left: 1 (32 enodes) 122.801 * * [simplify]: Extracting #0: cost 1 inf + 0 122.801 * * [simplify]: Extracting #1: cost 8 inf + 0 122.801 * * [simplify]: Extracting #2: cost 7 inf + 45 122.801 * * [simplify]: Extracting #3: cost 0 inf + 421 122.802 * [simplify]: Simplified to (* (* PI 2) n) 122.802 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 122.802 * * * * [progress]: [ 44 / 166 ] simplifiying candidate # 122.802 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 122.802 * * [simplify]: iters left: 6 (13 enodes) 122.805 * * [simplify]: iters left: 5 (50 enodes) 122.814 * * [simplify]: iters left: 4 (81 enodes) 122.827 * * [simplify]: iters left: 3 (136 enodes) 122.871 * * [simplify]: iters left: 2 (257 enodes) 122.939 * * [simplify]: Extracting #0: cost 1 inf + 0 122.939 * * [simplify]: Extracting #1: cost 13 inf + 0 122.940 * * [simplify]: Extracting #2: cost 63 inf + 1 122.940 * * [simplify]: Extracting #3: cost 125 inf + 5 122.940 * * [simplify]: Extracting #4: cost 134 inf + 507 122.943 * * [simplify]: Extracting #5: cost 59 inf + 22010 122.950 * * [simplify]: Extracting #6: cost 3 inf + 53599 122.959 * * [simplify]: Extracting #7: cost 0 inf + 56180 122.974 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 122.974 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))) (/ 1 (sqrt k)))) 122.974 * * * * [progress]: [ 45 / 166 ] simplifiying candidate # 122.975 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 122.975 * * [simplify]: iters left: 6 (7 enodes) 122.979 * * [simplify]: iters left: 5 (29 enodes) 122.988 * * [simplify]: iters left: 4 (38 enodes) 122.994 * * [simplify]: Extracting #0: cost 1 inf + 0 122.994 * * [simplify]: Extracting #1: cost 3 inf + 0 122.994 * * [simplify]: Extracting #2: cost 8 inf + 0 122.994 * * [simplify]: Extracting #3: cost 11 inf + 2 122.994 * * [simplify]: Extracting #4: cost 13 inf + 3 122.994 * * [simplify]: Extracting #5: cost 12 inf + 4 122.994 * * [simplify]: Extracting #6: cost 3 inf + 740 122.995 * * [simplify]: Extracting #7: cost 0 inf + 1228 122.995 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 122.995 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2)))) (/ 1 (sqrt k)))) 122.995 * * * * [progress]: [ 46 / 166 ] simplifiying candidate # 122.995 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 122.995 * * [simplify]: iters left: 6 (7 enodes) 122.998 * * [simplify]: iters left: 5 (29 enodes) 123.003 * * [simplify]: iters left: 4 (38 enodes) 123.008 * * [simplify]: Extracting #0: cost 1 inf + 0 123.009 * * [simplify]: Extracting #1: cost 3 inf + 0 123.009 * * [simplify]: Extracting #2: cost 8 inf + 0 123.009 * * [simplify]: Extracting #3: cost 11 inf + 2 123.009 * * [simplify]: Extracting #4: cost 13 inf + 3 123.009 * * [simplify]: Extracting #5: cost 12 inf + 4 123.009 * * [simplify]: Extracting #6: cost 3 inf + 740 123.009 * * [simplify]: Extracting #7: cost 0 inf + 1148 123.009 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 123.009 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2)))) (/ 1 (sqrt k)))) 123.009 * * * * [progress]: [ 47 / 166 ] simplifiying candidate # 123.010 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 123.010 * * [simplify]: iters left: 6 (8 enodes) 123.015 * * [simplify]: iters left: 5 (28 enodes) 123.024 * * [simplify]: iters left: 4 (33 enodes) 123.034 * * [simplify]: Extracting #0: cost 1 inf + 0 123.035 * * [simplify]: Extracting #1: cost 4 inf + 0 123.035 * * [simplify]: Extracting #2: cost 8 inf + 0 123.035 * * [simplify]: Extracting #3: cost 9 inf + 163 123.035 * * [simplify]: Extracting #4: cost 11 inf + 164 123.035 * * [simplify]: Extracting #5: cost 10 inf + 165 123.035 * * [simplify]: Extracting #6: cost 5 inf + 491 123.036 * * [simplify]: Extracting #7: cost 0 inf + 1463 123.036 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 123.036 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 123.036 * * * * [progress]: [ 48 / 166 ] simplifiying candidate # 123.037 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 123.037 * * [simplify]: iters left: 6 (8 enodes) 123.041 * * [simplify]: iters left: 5 (28 enodes) 123.046 * * [simplify]: iters left: 4 (33 enodes) 123.054 * * [simplify]: Extracting #0: cost 1 inf + 0 123.054 * * [simplify]: Extracting #1: cost 4 inf + 0 123.054 * * [simplify]: Extracting #2: cost 8 inf + 0 123.055 * * [simplify]: Extracting #3: cost 9 inf + 83 123.055 * * [simplify]: Extracting #4: cost 11 inf + 84 123.055 * * [simplify]: Extracting #5: cost 10 inf + 85 123.055 * * [simplify]: Extracting #6: cost 5 inf + 411 123.055 * * [simplify]: Extracting #7: cost 0 inf + 1303 123.055 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 123.055 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 123.055 * * * * [progress]: [ 49 / 166 ] simplifiying candidate # 123.056 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 123.056 * * [simplify]: iters left: 6 (7 enodes) 123.058 * * [simplify]: iters left: 5 (25 enodes) 123.062 * * [simplify]: iters left: 4 (30 enodes) 123.067 * * [simplify]: Extracting #0: cost 1 inf + 0 123.067 * * [simplify]: Extracting #1: cost 4 inf + 0 123.067 * * [simplify]: Extracting #2: cost 5 inf + 1 123.067 * * [simplify]: Extracting #3: cost 9 inf + 1 123.067 * * [simplify]: Extracting #4: cost 11 inf + 2 123.067 * * [simplify]: Extracting #5: cost 10 inf + 3 123.067 * * [simplify]: Extracting #6: cost 5 inf + 330 123.067 * * [simplify]: Extracting #7: cost 2 inf + 776 123.067 * * [simplify]: Extracting #8: cost 0 inf + 1141 123.067 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 123.067 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2)) (/ 1 (sqrt k)))) 123.068 * * * * [progress]: [ 50 / 166 ] simplifiying candidate # 123.068 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 123.068 * * [simplify]: iters left: 6 (8 enodes) 123.070 * * [simplify]: iters left: 5 (28 enodes) 123.075 * * [simplify]: iters left: 4 (33 enodes) 123.082 * * [simplify]: Extracting #0: cost 1 inf + 0 123.082 * * [simplify]: Extracting #1: cost 4 inf + 0 123.082 * * [simplify]: Extracting #2: cost 8 inf + 0 123.083 * * [simplify]: Extracting #3: cost 9 inf + 163 123.083 * * [simplify]: Extracting #4: cost 11 inf + 164 123.083 * * [simplify]: Extracting #5: cost 10 inf + 165 123.083 * * [simplify]: Extracting #6: cost 5 inf + 491 123.083 * * [simplify]: Extracting #7: cost 0 inf + 1303 123.084 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 123.084 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 123.084 * * * * [progress]: [ 51 / 166 ] simplifiying candidate # 123.084 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 123.084 * * [simplify]: iters left: 6 (8 enodes) 123.089 * * [simplify]: iters left: 5 (28 enodes) 123.098 * * [simplify]: iters left: 4 (33 enodes) 123.108 * * [simplify]: Extracting #0: cost 1 inf + 0 123.108 * * [simplify]: Extracting #1: cost 4 inf + 0 123.108 * * [simplify]: Extracting #2: cost 8 inf + 0 123.108 * * [simplify]: Extracting #3: cost 9 inf + 83 123.108 * * [simplify]: Extracting #4: cost 11 inf + 84 123.108 * * [simplify]: Extracting #5: cost 10 inf + 85 123.108 * * [simplify]: Extracting #6: cost 5 inf + 411 123.108 * * [simplify]: Extracting #7: cost 0 inf + 1143 123.108 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 123.108 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 123.108 * * * * [progress]: [ 52 / 166 ] simplifiying candidate # 123.109 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 123.109 * * [simplify]: iters left: 6 (7 enodes) 123.111 * * [simplify]: iters left: 5 (25 enodes) 123.115 * * [simplify]: iters left: 4 (30 enodes) 123.119 * * [simplify]: Extracting #0: cost 1 inf + 0 123.119 * * [simplify]: Extracting #1: cost 4 inf + 0 123.119 * * [simplify]: Extracting #2: cost 5 inf + 1 123.119 * * [simplify]: Extracting #3: cost 9 inf + 1 123.119 * * [simplify]: Extracting #4: cost 11 inf + 2 123.119 * * [simplify]: Extracting #5: cost 10 inf + 3 123.119 * * [simplify]: Extracting #6: cost 5 inf + 330 123.119 * * [simplify]: Extracting #7: cost 2 inf + 696 123.119 * * [simplify]: Extracting #8: cost 0 inf + 981 123.120 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 123.120 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2)) (/ 1 (sqrt k)))) 123.120 * * * * [progress]: [ 53 / 166 ] simplifiying candidate # 123.120 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 123.120 * * [simplify]: iters left: 5 (7 enodes) 123.122 * * [simplify]: iters left: 4 (28 enodes) 123.128 * * [simplify]: iters left: 3 (39 enodes) 123.134 * * [simplify]: iters left: 2 (43 enodes) 123.140 * * [simplify]: Extracting #0: cost 1 inf + 0 123.140 * * [simplify]: Extracting #1: cost 7 inf + 0 123.140 * * [simplify]: Extracting #2: cost 16 inf + 0 123.141 * * [simplify]: Extracting #3: cost 15 inf + 164 123.141 * * [simplify]: Extracting #4: cost 13 inf + 287 123.141 * * [simplify]: Extracting #5: cost 5 inf + 1180 123.141 * * [simplify]: Extracting #6: cost 0 inf + 1951 123.141 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 123.141 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 123.142 * * * * [progress]: [ 54 / 166 ] simplifiying candidate # 123.142 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 123.142 * * [simplify]: iters left: 5 (7 enodes) 123.144 * * [simplify]: iters left: 4 (28 enodes) 123.152 * * [simplify]: iters left: 3 (39 enodes) 123.158 * * [simplify]: iters left: 2 (43 enodes) 123.171 * * [simplify]: Extracting #0: cost 1 inf + 0 123.171 * * [simplify]: Extracting #1: cost 7 inf + 0 123.171 * * [simplify]: Extracting #2: cost 16 inf + 0 123.171 * * [simplify]: Extracting #3: cost 15 inf + 84 123.172 * * [simplify]: Extracting #4: cost 13 inf + 167 123.172 * * [simplify]: Extracting #5: cost 5 inf + 900 123.173 * * [simplify]: Extracting #6: cost 0 inf + 1551 123.173 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 123.173 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 123.173 * * * * [progress]: [ 55 / 166 ] simplifiying candidate # 123.174 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 123.174 * * [simplify]: iters left: 5 (6 enodes) 123.178 * * [simplify]: iters left: 4 (26 enodes) 123.187 * * [simplify]: iters left: 3 (35 enodes) 123.197 * * [simplify]: Extracting #0: cost 1 inf + 0 123.197 * * [simplify]: Extracting #1: cost 6 inf + 0 123.197 * * [simplify]: Extracting #2: cost 9 inf + 2 123.197 * * [simplify]: Extracting #3: cost 11 inf + 3 123.197 * * [simplify]: Extracting #4: cost 10 inf + 4 123.197 * * [simplify]: Extracting #5: cost 3 inf + 535 123.198 * * [simplify]: Extracting #6: cost 0 inf + 822 123.198 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 123.198 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.198 * * * * [progress]: [ 56 / 166 ] simplifiying candidate # 123.198 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 123.199 * * [simplify]: iters left: 6 (9 enodes) 123.205 * * [simplify]: iters left: 5 (34 enodes) 123.216 * * [simplify]: iters left: 4 (48 enodes) 123.230 * * [simplify]: iters left: 3 (54 enodes) 123.242 * * [simplify]: iters left: 2 (55 enodes) 123.249 * * [simplify]: iters left: 1 (56 enodes) 123.257 * * [simplify]: Extracting #0: cost 1 inf + 0 123.257 * * [simplify]: Extracting #1: cost 8 inf + 0 123.257 * * [simplify]: Extracting #2: cost 18 inf + 0 123.257 * * [simplify]: Extracting #3: cost 17 inf + 164 123.257 * * [simplify]: Extracting #4: cost 16 inf + 530 123.257 * * [simplify]: Extracting #5: cost 12 inf + 735 123.258 * * [simplify]: Extracting #6: cost 4 inf + 1787 123.258 * * [simplify]: Extracting #7: cost 1 inf + 2515 123.259 * * [simplify]: Extracting #8: cost 0 inf + 2757 123.259 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 123.259 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 123.259 * * * * [progress]: [ 57 / 166 ] simplifiying candidate # 123.259 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 123.260 * * [simplify]: iters left: 6 (9 enodes) 123.263 * * [simplify]: iters left: 5 (34 enodes) 123.270 * * [simplify]: iters left: 4 (48 enodes) 123.282 * * [simplify]: iters left: 3 (54 enodes) 123.290 * * [simplify]: iters left: 2 (55 enodes) 123.297 * * [simplify]: iters left: 1 (56 enodes) 123.307 * * [simplify]: Extracting #0: cost 1 inf + 0 123.307 * * [simplify]: Extracting #1: cost 8 inf + 0 123.307 * * [simplify]: Extracting #2: cost 18 inf + 0 123.308 * * [simplify]: Extracting #3: cost 17 inf + 84 123.308 * * [simplify]: Extracting #4: cost 16 inf + 330 123.308 * * [simplify]: Extracting #5: cost 12 inf + 495 123.309 * * [simplify]: Extracting #6: cost 4 inf + 1467 123.309 * * [simplify]: Extracting #7: cost 1 inf + 2075 123.310 * * [simplify]: Extracting #8: cost 0 inf + 2277 123.311 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 123.311 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 123.311 * * * * [progress]: [ 58 / 166 ] simplifiying candidate # 123.312 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 123.312 * * [simplify]: iters left: 6 (8 enodes) 123.317 * * [simplify]: iters left: 5 (31 enodes) 123.328 * * [simplify]: iters left: 4 (46 enodes) 123.340 * * [simplify]: iters left: 3 (49 enodes) 123.353 * * [simplify]: Extracting #0: cost 1 inf + 0 123.353 * * [simplify]: Extracting #1: cost 7 inf + 0 123.354 * * [simplify]: Extracting #2: cost 11 inf + 2 123.354 * * [simplify]: Extracting #3: cost 13 inf + 3 123.354 * * [simplify]: Extracting #4: cost 15 inf + 3 123.354 * * [simplify]: Extracting #5: cost 13 inf + 45 123.354 * * [simplify]: Extracting #6: cost 5 inf + 898 123.355 * * [simplify]: Extracting #7: cost 0 inf + 1628 123.355 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 123.355 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 123.355 * * * * [progress]: [ 59 / 166 ] simplifiying candidate # 123.356 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 123.356 * * [simplify]: iters left: 6 (9 enodes) 123.361 * * [simplify]: iters left: 5 (34 enodes) 123.366 * * [simplify]: iters left: 4 (48 enodes) 123.373 * * [simplify]: iters left: 3 (54 enodes) 123.380 * * [simplify]: iters left: 2 (55 enodes) 123.393 * * [simplify]: iters left: 1 (56 enodes) 123.408 * * [simplify]: Extracting #0: cost 1 inf + 0 123.408 * * [simplify]: Extracting #1: cost 8 inf + 0 123.408 * * [simplify]: Extracting #2: cost 18 inf + 0 123.408 * * [simplify]: Extracting #3: cost 17 inf + 164 123.409 * * [simplify]: Extracting #4: cost 16 inf + 530 123.409 * * [simplify]: Extracting #5: cost 12 inf + 735 123.409 * * [simplify]: Extracting #6: cost 4 inf + 1787 123.410 * * [simplify]: Extracting #7: cost 1 inf + 2515 123.411 * * [simplify]: Extracting #8: cost 0 inf + 2757 123.412 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 123.412 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 123.412 * * * * [progress]: [ 60 / 166 ] simplifiying candidate # 123.412 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 123.413 * * [simplify]: iters left: 6 (9 enodes) 123.419 * * [simplify]: iters left: 5 (34 enodes) 123.430 * * [simplify]: iters left: 4 (48 enodes) 123.444 * * [simplify]: iters left: 3 (54 enodes) 123.452 * * [simplify]: iters left: 2 (55 enodes) 123.460 * * [simplify]: iters left: 1 (56 enodes) 123.468 * * [simplify]: Extracting #0: cost 1 inf + 0 123.468 * * [simplify]: Extracting #1: cost 8 inf + 0 123.468 * * [simplify]: Extracting #2: cost 18 inf + 0 123.468 * * [simplify]: Extracting #3: cost 17 inf + 84 123.468 * * [simplify]: Extracting #4: cost 16 inf + 330 123.468 * * [simplify]: Extracting #5: cost 12 inf + 495 123.469 * * [simplify]: Extracting #6: cost 4 inf + 1467 123.469 * * [simplify]: Extracting #7: cost 1 inf + 2075 123.469 * * [simplify]: Extracting #8: cost 0 inf + 2277 123.470 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 123.470 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 123.470 * * * * [progress]: [ 61 / 166 ] simplifiying candidate # 123.470 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 123.470 * * [simplify]: iters left: 6 (8 enodes) 123.473 * * [simplify]: iters left: 5 (31 enodes) 123.484 * * [simplify]: iters left: 4 (46 enodes) 123.496 * * [simplify]: iters left: 3 (49 enodes) 123.503 * * [simplify]: Extracting #0: cost 1 inf + 0 123.503 * * [simplify]: Extracting #1: cost 7 inf + 0 123.503 * * [simplify]: Extracting #2: cost 11 inf + 2 123.503 * * [simplify]: Extracting #3: cost 13 inf + 3 123.504 * * [simplify]: Extracting #4: cost 15 inf + 3 123.504 * * [simplify]: Extracting #5: cost 13 inf + 45 123.504 * * [simplify]: Extracting #6: cost 5 inf + 898 123.504 * * [simplify]: Extracting #7: cost 0 inf + 1628 123.504 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 123.504 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 123.504 * * * * [progress]: [ 62 / 166 ] simplifiying candidate # 123.505 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 123.505 * * [simplify]: iters left: 6 (8 enodes) 123.507 * * [simplify]: iters left: 5 (31 enodes) 123.515 * * [simplify]: iters left: 4 (42 enodes) 123.522 * * [simplify]: iters left: 3 (46 enodes) 123.529 * * [simplify]: Extracting #0: cost 1 inf + 0 123.529 * * [simplify]: Extracting #1: cost 7 inf + 0 123.529 * * [simplify]: Extracting #2: cost 16 inf + 0 123.529 * * [simplify]: Extracting #3: cost 17 inf + 2 123.529 * * [simplify]: Extracting #4: cost 15 inf + 408 123.529 * * [simplify]: Extracting #5: cost 14 inf + 409 123.529 * * [simplify]: Extracting #6: cost 9 inf + 975 123.530 * * [simplify]: Extracting #7: cost 1 inf + 2270 123.530 * * [simplify]: Extracting #8: cost 0 inf + 2513 123.530 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 123.531 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 123.531 * * * * [progress]: [ 63 / 166 ] simplifiying candidate # 123.531 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 123.531 * * [simplify]: iters left: 6 (8 enodes) 123.534 * * [simplify]: iters left: 5 (31 enodes) 123.539 * * [simplify]: iters left: 4 (42 enodes) 123.546 * * [simplify]: iters left: 3 (46 enodes) 123.553 * * [simplify]: Extracting #0: cost 1 inf + 0 123.553 * * [simplify]: Extracting #1: cost 7 inf + 0 123.553 * * [simplify]: Extracting #2: cost 16 inf + 0 123.553 * * [simplify]: Extracting #3: cost 17 inf + 2 123.553 * * [simplify]: Extracting #4: cost 15 inf + 248 123.553 * * [simplify]: Extracting #5: cost 14 inf + 249 123.553 * * [simplify]: Extracting #6: cost 9 inf + 775 123.554 * * [simplify]: Extracting #7: cost 1 inf + 1910 123.554 * * [simplify]: Extracting #8: cost 0 inf + 2113 123.554 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 123.554 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 123.554 * * * * [progress]: [ 64 / 166 ] simplifiying candidate # 123.555 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 123.555 * * [simplify]: iters left: 6 (7 enodes) 123.557 * * [simplify]: iters left: 5 (29 enodes) 123.567 * * [simplify]: iters left: 4 (38 enodes) 123.578 * * [simplify]: Extracting #0: cost 1 inf + 0 123.578 * * [simplify]: Extracting #1: cost 6 inf + 0 123.578 * * [simplify]: Extracting #2: cost 9 inf + 2 123.578 * * [simplify]: Extracting #3: cost 11 inf + 3 123.578 * * [simplify]: Extracting #4: cost 13 inf + 3 123.578 * * [simplify]: Extracting #5: cost 12 inf + 4 123.578 * * [simplify]: Extracting #6: cost 9 inf + 167 123.579 * * [simplify]: Extracting #7: cost 0 inf + 1304 123.580 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 123.580 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 123.580 * * * * [progress]: [ 65 / 166 ] simplifiying candidate # 123.580 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 123.580 * * [simplify]: iters left: 6 (8 enodes) 123.585 * * [simplify]: iters left: 5 (31 enodes) 123.593 * * [simplify]: iters left: 4 (42 enodes) 123.600 * * [simplify]: iters left: 3 (46 enodes) 123.607 * * [simplify]: Extracting #0: cost 1 inf + 0 123.607 * * [simplify]: Extracting #1: cost 7 inf + 0 123.607 * * [simplify]: Extracting #2: cost 16 inf + 0 123.607 * * [simplify]: Extracting #3: cost 17 inf + 2 123.607 * * [simplify]: Extracting #4: cost 15 inf + 408 123.607 * * [simplify]: Extracting #5: cost 14 inf + 409 123.607 * * [simplify]: Extracting #6: cost 9 inf + 975 123.607 * * [simplify]: Extracting #7: cost 1 inf + 2270 123.608 * * [simplify]: Extracting #8: cost 0 inf + 2513 123.608 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 123.608 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 123.608 * * * * [progress]: [ 66 / 166 ] simplifiying candidate # 123.608 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 123.609 * * [simplify]: iters left: 6 (8 enodes) 123.613 * * [simplify]: iters left: 5 (31 enodes) 123.619 * * [simplify]: iters left: 4 (42 enodes) 123.630 * * [simplify]: iters left: 3 (46 enodes) 123.636 * * [simplify]: Extracting #0: cost 1 inf + 0 123.636 * * [simplify]: Extracting #1: cost 7 inf + 0 123.636 * * [simplify]: Extracting #2: cost 16 inf + 0 123.636 * * [simplify]: Extracting #3: cost 17 inf + 2 123.636 * * [simplify]: Extracting #4: cost 15 inf + 248 123.637 * * [simplify]: Extracting #5: cost 14 inf + 249 123.637 * * [simplify]: Extracting #6: cost 9 inf + 775 123.637 * * [simplify]: Extracting #7: cost 1 inf + 1910 123.637 * * [simplify]: Extracting #8: cost 0 inf + 2113 123.638 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 123.638 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 123.638 * * * * [progress]: [ 67 / 166 ] simplifiying candidate # 123.638 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 123.638 * * [simplify]: iters left: 6 (7 enodes) 123.641 * * [simplify]: iters left: 5 (29 enodes) 123.646 * * [simplify]: iters left: 4 (38 enodes) 123.651 * * [simplify]: Extracting #0: cost 1 inf + 0 123.651 * * [simplify]: Extracting #1: cost 6 inf + 0 123.651 * * [simplify]: Extracting #2: cost 9 inf + 2 123.651 * * [simplify]: Extracting #3: cost 11 inf + 3 123.651 * * [simplify]: Extracting #4: cost 13 inf + 3 123.651 * * [simplify]: Extracting #5: cost 12 inf + 4 123.651 * * [simplify]: Extracting #6: cost 9 inf + 167 123.652 * * [simplify]: Extracting #7: cost 0 inf + 1304 123.652 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 123.652 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 123.652 * * * * [progress]: [ 68 / 166 ] simplifiying candidate # 123.652 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 123.652 * * [simplify]: iters left: 5 (8 enodes) 123.656 * * [simplify]: iters left: 4 (31 enodes) 123.666 * * [simplify]: iters left: 3 (45 enodes) 123.679 * * [simplify]: iters left: 2 (51 enodes) 123.688 * * [simplify]: iters left: 1 (52 enodes) 123.695 * * [simplify]: Extracting #0: cost 1 inf + 0 123.695 * * [simplify]: Extracting #1: cost 8 inf + 0 123.695 * * [simplify]: Extracting #2: cost 18 inf + 0 123.695 * * [simplify]: Extracting #3: cost 19 inf + 2 123.695 * * [simplify]: Extracting #4: cost 9 inf + 977 123.695 * * [simplify]: Extracting #5: cost 2 inf + 1790 123.696 * * [simplify]: Extracting #6: cost 0 inf + 2195 123.696 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 123.696 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 123.696 * * * * [progress]: [ 69 / 166 ] simplifiying candidate # 123.696 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 123.697 * * [simplify]: iters left: 5 (8 enodes) 123.699 * * [simplify]: iters left: 4 (31 enodes) 123.705 * * [simplify]: iters left: 3 (45 enodes) 123.712 * * [simplify]: iters left: 2 (51 enodes) 123.731 * * [simplify]: iters left: 1 (52 enodes) 123.743 * * [simplify]: Extracting #0: cost 1 inf + 0 123.744 * * [simplify]: Extracting #1: cost 8 inf + 0 123.744 * * [simplify]: Extracting #2: cost 18 inf + 0 123.744 * * [simplify]: Extracting #3: cost 19 inf + 2 123.744 * * [simplify]: Extracting #4: cost 9 inf + 697 123.744 * * [simplify]: Extracting #5: cost 2 inf + 1390 123.744 * * [simplify]: Extracting #6: cost 0 inf + 1715 123.745 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 123.745 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 123.745 * * * * [progress]: [ 70 / 166 ] simplifiying candidate # 123.745 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 123.745 * * [simplify]: iters left: 5 (7 enodes) 123.748 * * [simplify]: iters left: 4 (29 enodes) 123.753 * * [simplify]: iters left: 3 (43 enodes) 123.759 * * [simplify]: iters left: 2 (47 enodes) 123.765 * * [simplify]: Extracting #0: cost 1 inf + 0 123.765 * * [simplify]: Extracting #1: cost 7 inf + 0 123.765 * * [simplify]: Extracting #2: cost 11 inf + 2 123.765 * * [simplify]: Extracting #3: cost 13 inf + 3 123.765 * * [simplify]: Extracting #4: cost 11 inf + 45 123.765 * * [simplify]: Extracting #5: cost 0 inf + 1066 123.766 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 123.766 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.766 * * * * [progress]: [ 71 / 166 ] simplifiying candidate # 123.766 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 123.766 * * [simplify]: iters left: 5 (7 enodes) 123.768 * * [simplify]: iters left: 4 (28 enodes) 123.777 * * [simplify]: iters left: 3 (39 enodes) 123.789 * * [simplify]: iters left: 2 (43 enodes) 123.802 * * [simplify]: Extracting #0: cost 1 inf + 0 123.802 * * [simplify]: Extracting #1: cost 7 inf + 0 123.802 * * [simplify]: Extracting #2: cost 16 inf + 0 123.802 * * [simplify]: Extracting #3: cost 15 inf + 164 123.803 * * [simplify]: Extracting #4: cost 13 inf + 287 123.803 * * [simplify]: Extracting #5: cost 5 inf + 1180 123.803 * * [simplify]: Extracting #6: cost 0 inf + 1951 123.804 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 123.804 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 123.804 * * * * [progress]: [ 72 / 166 ] simplifiying candidate # 123.805 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 123.805 * * [simplify]: iters left: 5 (7 enodes) 123.809 * * [simplify]: iters left: 4 (28 enodes) 123.818 * * [simplify]: iters left: 3 (39 enodes) 123.830 * * [simplify]: iters left: 2 (43 enodes) 123.843 * * [simplify]: Extracting #0: cost 1 inf + 0 123.843 * * [simplify]: Extracting #1: cost 7 inf + 0 123.843 * * [simplify]: Extracting #2: cost 16 inf + 0 123.844 * * [simplify]: Extracting #3: cost 15 inf + 84 123.844 * * [simplify]: Extracting #4: cost 13 inf + 167 123.844 * * [simplify]: Extracting #5: cost 5 inf + 900 123.845 * * [simplify]: Extracting #6: cost 0 inf + 1551 123.845 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 123.845 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 123.845 * * * * [progress]: [ 73 / 166 ] simplifiying candidate # 123.846 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 123.846 * * [simplify]: iters left: 5 (6 enodes) 123.850 * * [simplify]: iters left: 4 (26 enodes) 123.862 * * [simplify]: iters left: 3 (35 enodes) 123.872 * * [simplify]: Extracting #0: cost 1 inf + 0 123.872 * * [simplify]: Extracting #1: cost 6 inf + 0 123.872 * * [simplify]: Extracting #2: cost 9 inf + 2 123.872 * * [simplify]: Extracting #3: cost 11 inf + 3 123.873 * * [simplify]: Extracting #4: cost 10 inf + 4 123.873 * * [simplify]: Extracting #5: cost 3 inf + 535 123.873 * * [simplify]: Extracting #6: cost 0 inf + 822 123.873 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 123.874 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.874 * * * * [progress]: [ 74 / 166 ] simplifiying candidate # 123.874 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 123.874 * * [simplify]: iters left: 5 (6 enodes) 123.878 * * [simplify]: iters left: 4 (26 enodes) 123.887 * * [simplify]: iters left: 3 (35 enodes) 123.898 * * [simplify]: Extracting #0: cost 1 inf + 0 123.898 * * [simplify]: Extracting #1: cost 6 inf + 0 123.898 * * [simplify]: Extracting #2: cost 9 inf + 2 123.898 * * [simplify]: Extracting #3: cost 11 inf + 3 123.898 * * [simplify]: Extracting #4: cost 10 inf + 4 123.898 * * [simplify]: Extracting #5: cost 3 inf + 535 123.899 * * [simplify]: Extracting #6: cost 0 inf + 822 123.899 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 123.899 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.899 * * * * [progress]: [ 75 / 166 ] simplifiying candidate # 123.900 * [simplify]: Simplifying (/ 1 2) 123.900 * * [simplify]: iters left: 2 (3 enodes) 123.903 * * [simplify]: iters left: 1 (12 enodes) 123.905 * * [simplify]: Extracting #0: cost 1 inf + 0 123.905 * * [simplify]: Extracting #1: cost 0 inf + 1 123.905 * [simplify]: Simplified to 1/2 123.905 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2) (/ 1 (sqrt k)))) 123.905 * * * * [progress]: [ 76 / 166 ] simplifiying candidate # 123.905 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 123.905 * * [simplify]: iters left: 6 (11 enodes) 123.909 * * [simplify]: iters left: 5 (46 enodes) 123.917 * * [simplify]: iters left: 4 (80 enodes) 123.939 * * [simplify]: iters left: 3 (135 enodes) 123.968 * * [simplify]: iters left: 2 (262 enodes) 124.024 * * [simplify]: Extracting #0: cost 1 inf + 0 124.024 * * [simplify]: Extracting #1: cost 14 inf + 0 124.025 * * [simplify]: Extracting #2: cost 66 inf + 1 124.025 * * [simplify]: Extracting #3: cost 127 inf + 6 124.025 * * [simplify]: Extracting #4: cost 147 inf + 11 124.026 * * [simplify]: Extracting #5: cost 134 inf + 1777 124.029 * * [simplify]: Extracting #6: cost 61 inf + 18363 124.033 * * [simplify]: Extracting #7: cost 19 inf + 39858 124.040 * * [simplify]: Extracting #8: cost 1 inf + 55694 124.054 * * [simplify]: Extracting #9: cost 0 inf + 56467 124.063 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 124.063 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 124.063 * * * * [progress]: [ 77 / 166 ] simplifiying candidate # 124.063 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 124.063 * * [simplify]: iters left: 6 (16 enodes) 124.067 * * [simplify]: iters left: 5 (65 enodes) 124.078 * * [simplify]: iters left: 4 (103 enodes) 124.098 * * [simplify]: iters left: 3 (168 enodes) 124.132 * * [simplify]: iters left: 2 (313 enodes) 124.219 * * [simplify]: Extracting #0: cost 1 inf + 0 124.219 * * [simplify]: Extracting #1: cost 13 inf + 0 124.219 * * [simplify]: Extracting #2: cost 57 inf + 1 124.220 * * [simplify]: Extracting #3: cost 91 inf + 6 124.220 * * [simplify]: Extracting #4: cost 108 inf + 10 124.221 * * [simplify]: Extracting #5: cost 145 inf + 52 124.224 * * [simplify]: Extracting #6: cost 119 inf + 5883 124.231 * * [simplify]: Extracting #7: cost 52 inf + 24618 124.251 * * [simplify]: Extracting #8: cost 11 inf + 59981 124.264 * * [simplify]: Extracting #9: cost 0 inf + 68869 124.274 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 124.274 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 124.274 * * * * [progress]: [ 78 / 166 ] simplifiying candidate # 124.275 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 124.275 * * [simplify]: iters left: 6 (15 enodes) 124.280 * * [simplify]: iters left: 5 (62 enodes) 124.299 * * [simplify]: iters left: 4 (101 enodes) 124.317 * * [simplify]: iters left: 3 (167 enodes) 124.357 * * [simplify]: iters left: 2 (315 enodes) 124.450 * * [simplify]: Extracting #0: cost 1 inf + 0 124.450 * * [simplify]: Extracting #1: cost 14 inf + 0 124.450 * * [simplify]: Extracting #2: cost 59 inf + 1 124.451 * * [simplify]: Extracting #3: cost 106 inf + 6 124.452 * * [simplify]: Extracting #4: cost 152 inf + 10 124.453 * * [simplify]: Extracting #5: cost 159 inf + 262 124.462 * * [simplify]: Extracting #6: cost 82 inf + 19132 124.480 * * [simplify]: Extracting #7: cost 9 inf + 56261 124.494 * * [simplify]: Extracting #8: cost 0 inf + 63185 124.504 * * [simplify]: Extracting #9: cost 0 inf + 62662 124.513 * * [simplify]: Extracting #10: cost 0 inf + 62532 124.523 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 124.523 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 124.523 * * * * [progress]: [ 79 / 166 ] simplifiying candidate # 124.524 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 124.524 * * [simplify]: iters left: 6 (7 enodes) 124.527 * * [simplify]: iters left: 5 (27 enodes) 124.531 * * [simplify]: iters left: 4 (36 enodes) 124.539 * * [simplify]: Extracting #0: cost 1 inf + 0 124.539 * * [simplify]: Extracting #1: cost 0 inf + 1 124.539 * [simplify]: Simplified to 1 124.539 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 124.539 * * * * [progress]: [ 80 / 166 ] simplifiying candidate # 124.539 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 124.539 * * [simplify]: iters left: 6 (15 enodes) 124.548 * * [simplify]: iters left: 5 (64 enodes) 124.566 * * [simplify]: iters left: 4 (107 enodes) 124.586 * * [simplify]: iters left: 3 (172 enodes) 124.630 * * [simplify]: iters left: 2 (308 enodes) 124.715 * * [simplify]: Extracting #0: cost 1 inf + 0 124.715 * * [simplify]: Extracting #1: cost 13 inf + 0 124.715 * * [simplify]: Extracting #2: cost 65 inf + 1 124.716 * * [simplify]: Extracting #3: cost 139 inf + 5 124.717 * * [simplify]: Extracting #4: cost 162 inf + 179 124.718 * * [simplify]: Extracting #5: cost 158 inf + 472 124.722 * * [simplify]: Extracting #6: cost 102 inf + 8559 124.730 * * [simplify]: Extracting #7: cost 44 inf + 34459 124.748 * * [simplify]: Extracting #8: cost 1 inf + 72965 124.769 * * [simplify]: Extracting #9: cost 0 inf + 71959 124.789 * * [simplify]: Extracting #10: cost 0 inf + 71828 124.813 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 124.813 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 124.814 * * * * [progress]: [ 81 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 82 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 83 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 84 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 85 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 86 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 87 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 88 / 166 ] simplifiying candidate # 124.814 * * * * [progress]: [ 89 / 166 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ 1 (sqrt k))))> 124.814 * * * * [progress]: [ 90 / 166 ] simplifiying candidate # 124.814 * [simplify]: Simplifying (* n (* 2 PI)) 124.814 * * [simplify]: iters left: 4 (5 enodes) 124.816 * * [simplify]: iters left: 3 (19 enodes) 124.819 * * [simplify]: iters left: 2 (27 enodes) 124.823 * * [simplify]: iters left: 1 (32 enodes) 124.827 * * [simplify]: Extracting #0: cost 1 inf + 0 124.827 * * [simplify]: Extracting #1: cost 8 inf + 0 124.827 * * [simplify]: Extracting #2: cost 7 inf + 45 124.827 * * [simplify]: Extracting #3: cost 0 inf + 421 124.828 * [simplify]: Simplified to (* (* PI 2) n) 124.828 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.828 * * * * [progress]: [ 91 / 166 ] simplifiying candidate # 124.828 * [simplify]: Simplifying (* n (* 2 PI)) 124.828 * * [simplify]: iters left: 4 (5 enodes) 124.829 * * [simplify]: iters left: 3 (19 enodes) 124.833 * * [simplify]: iters left: 2 (27 enodes) 124.836 * * [simplify]: iters left: 1 (32 enodes) 124.840 * * [simplify]: Extracting #0: cost 1 inf + 0 124.840 * * [simplify]: Extracting #1: cost 8 inf + 0 124.841 * * [simplify]: Extracting #2: cost 7 inf + 45 124.841 * * [simplify]: Extracting #3: cost 0 inf + 421 124.841 * [simplify]: Simplified to (* (* PI 2) n) 124.841 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.841 * * * * [progress]: [ 92 / 166 ] simplifiying candidate # 124.841 * * * * [progress]: [ 93 / 166 ] simplifiying candidate # 124.841 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 124.841 * * [simplify]: iters left: 5 (8 enodes) 124.843 * * [simplify]: iters left: 4 (28 enodes) 124.849 * * [simplify]: iters left: 3 (36 enodes) 124.860 * * [simplify]: iters left: 2 (42 enodes) 124.871 * * [simplify]: Extracting #0: cost 1 inf + 0 124.871 * * [simplify]: Extracting #1: cost 8 inf + 0 124.871 * * [simplify]: Extracting #2: cost 17 inf + 0 124.871 * * [simplify]: Extracting #3: cost 12 inf + 145 124.871 * * [simplify]: Extracting #4: cost 5 inf + 1197 124.872 * * [simplify]: Extracting #5: cost 1 inf + 1925 124.873 * * [simplify]: Extracting #6: cost 0 inf + 2107 124.873 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 124.873 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.874 * * * * [progress]: [ 94 / 166 ] simplifiying candidate # 124.874 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 124.874 * * [simplify]: iters left: 5 (7 enodes) 124.878 * * [simplify]: iters left: 4 (26 enodes) 124.884 * * [simplify]: iters left: 3 (35 enodes) 124.889 * * [simplify]: iters left: 2 (44 enodes) 124.895 * * [simplify]: Extracting #0: cost 1 inf + 0 124.895 * * [simplify]: Extracting #1: cost 8 inf + 0 124.895 * * [simplify]: Extracting #2: cost 18 inf + 0 124.895 * * [simplify]: Extracting #3: cost 15 inf + 74 124.895 * * [simplify]: Extracting #4: cost 8 inf + 554 124.896 * * [simplify]: Extracting #5: cost 0 inf + 1911 124.896 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 124.896 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.896 * * * * [progress]: [ 95 / 166 ] simplifiying candidate # 124.896 * * * * [progress]: [ 96 / 166 ] simplifiying candidate # 124.896 * * * * [progress]: [ 97 / 166 ] simplifiying candidate # 124.896 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 124.896 * * [simplify]: iters left: 6 (11 enodes) 124.901 * * [simplify]: iters left: 5 (48 enodes) 124.916 * * [simplify]: iters left: 4 (121 enodes) 124.959 * * [simplify]: iters left: 3 (348 enodes) 125.136 * * [simplify]: Extracting #0: cost 1 inf + 0 125.137 * * [simplify]: Extracting #1: cost 67 inf + 0 125.137 * * [simplify]: Extracting #2: cost 165 inf + 786 125.140 * * [simplify]: Extracting #3: cost 85 inf + 10177 125.146 * * [simplify]: Extracting #4: cost 9 inf + 26399 125.153 * * [simplify]: Extracting #5: cost 0 inf + 28546 125.162 * * [simplify]: Extracting #6: cost 0 inf + 28506 125.174 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 125.174 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 125.174 * * * * [progress]: [ 98 / 166 ] simplifiying candidate # 125.175 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 125.175 * * [simplify]: iters left: 6 (9 enodes) 125.181 * * [simplify]: iters left: 5 (45 enodes) 125.199 * * [simplify]: iters left: 4 (117 enodes) 125.237 * * [simplify]: iters left: 3 (374 enodes) 125.583 * * [simplify]: Extracting #0: cost 1 inf + 0 125.583 * * [simplify]: Extracting #1: cost 77 inf + 0 125.585 * * [simplify]: Extracting #2: cost 184 inf + 984 125.592 * * [simplify]: Extracting #3: cost 106 inf + 11690 125.609 * * [simplify]: Extracting #4: cost 6 inf + 30376 125.628 * * [simplify]: Extracting #5: cost 0 inf + 31644 125.646 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 125.646 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 125.646 * * * * [progress]: [ 99 / 166 ] simplifiying candidate # 125.646 * * * * [progress]: [ 100 / 166 ] simplifiying candidate # 125.646 * * * * [progress]: [ 101 / 166 ] simplifiying candidate # 125.647 * * * * [progress]: [ 102 / 166 ] simplifiying candidate # 125.647 * * * * [progress]: [ 103 / 166 ] simplifiying candidate # 125.647 * * * * [progress]: [ 104 / 166 ] simplifiying candidate # 125.647 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 125.647 * * [simplify]: iters left: 3 (3 enodes) 125.648 * * [simplify]: iters left: 2 (9 enodes) 125.651 * * [simplify]: Extracting #0: cost 1 inf + 0 125.651 * * [simplify]: Extracting #1: cost 3 inf + 0 125.651 * * [simplify]: Extracting #2: cost 5 inf + 0 125.651 * * [simplify]: Extracting #3: cost 4 inf + 1 125.651 * * [simplify]: Extracting #4: cost 0 inf + 405 125.651 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 125.651 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 125.651 * * * * [progress]: [ 105 / 166 ] simplifiying candidate # 125.652 * [simplify]: Simplifying (sqrt n) 125.652 * * [simplify]: iters left: 1 (2 enodes) 125.653 * * [simplify]: Extracting #0: cost 1 inf + 0 125.653 * * [simplify]: Extracting #1: cost 3 inf + 0 125.653 * * [simplify]: Extracting #2: cost 2 inf + 1 125.653 * * [simplify]: Extracting #3: cost 0 inf + 83 125.653 * [simplify]: Simplified to (sqrt n) 125.653 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 125.653 * * * * [progress]: [ 106 / 166 ] simplifiying candidate # 125.653 * * * * [progress]: [ 107 / 166 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))> 125.653 * * * * [progress]: [ 108 / 166 ] simplifiying candidate # 125.653 * * * * [progress]: [ 109 / 166 ] simplifiying candidate # 125.653 * * * * [progress]: [ 110 / 166 ] simplifiying candidate # 125.654 * [simplify]: Simplifying (- 1/2) 125.654 * * [simplify]: iters left: 2 (2 enodes) 125.656 * * [simplify]: iters left: 1 (7 enodes) 125.658 * * [simplify]: Extracting #0: cost 1 inf + 0 125.659 * * [simplify]: Extracting #1: cost 0 inf + 1 125.659 * [simplify]: Simplified to -1/2 125.659 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 125.659 * * * * [progress]: [ 111 / 166 ] simplifiying candidate # 125.659 * [simplify]: Simplifying (- 1) 125.659 * * [simplify]: iters left: 2 (2 enodes) 125.661 * * [simplify]: iters left: 1 (9 enodes) 125.665 * * [simplify]: Extracting #0: cost 1 inf + 0 125.665 * * [simplify]: Extracting #1: cost 0 inf + 1 125.665 * [simplify]: Simplified to -1 125.665 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (sqrt k) -1))) 125.665 * * * * [progress]: [ 112 / 166 ] simplifiying candidate # 125.665 * [simplify]: Simplifying (- (/ 1 2)) 125.665 * * [simplify]: iters left: 4 (4 enodes) 125.670 * * [simplify]: iters left: 3 (19 enodes) 125.676 * * [simplify]: iters left: 2 (23 enodes) 125.683 * * [simplify]: Extracting #0: cost 1 inf + 0 125.684 * * [simplify]: Extracting #1: cost 0 inf + 1 125.684 * [simplify]: Simplified to -1/2 125.684 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 125.684 * * * * [progress]: [ 113 / 166 ] simplifiying candidate # 125.684 * * * * [progress]: [ 114 / 166 ] simplifiying candidate # 125.684 * * * * [progress]: [ 115 / 166 ] simplifiying candidate # 125.684 * [simplify]: Simplifying (- 0 (log (sqrt k))) 125.684 * * [simplify]: iters left: 4 (5 enodes) 125.687 * * [simplify]: iters left: 3 (17 enodes) 125.692 * * [simplify]: iters left: 2 (21 enodes) 125.698 * * [simplify]: iters left: 1 (23 enodes) 125.709 * * [simplify]: Extracting #0: cost 1 inf + 0 125.709 * * [simplify]: Extracting #1: cost 4 inf + 0 125.709 * * [simplify]: Extracting #2: cost 5 inf + 1 125.709 * * [simplify]: Extracting #3: cost 7 inf + 1 125.709 * * [simplify]: Extracting #4: cost 0 inf + 608 125.710 * [simplify]: Simplified to (- (log (sqrt k))) 125.710 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (exp (- (log (sqrt k)))))) 125.710 * * * * [progress]: [ 116 / 166 ] simplifiying candidate # 125.710 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 125.710 * * [simplify]: iters left: 4 (6 enodes) 125.714 * * [simplify]: iters left: 3 (22 enodes) 125.720 * * [simplify]: Extracting #0: cost 1 inf + 0 125.720 * * [simplify]: Extracting #1: cost 4 inf + 0 125.720 * * [simplify]: Extracting #2: cost 5 inf + 1 125.720 * * [simplify]: Extracting #3: cost 7 inf + 1 125.720 * * [simplify]: Extracting #4: cost 6 inf + 2 125.720 * * [simplify]: Extracting #5: cost 1 inf + 457 125.720 * * [simplify]: Extracting #6: cost 0 inf + 608 125.721 * [simplify]: Simplified to (- (log (sqrt k))) 125.721 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (exp (- (log (sqrt k)))))) 125.721 * * * * [progress]: [ 117 / 166 ] simplifiying candidate # 125.721 * * * * [progress]: [ 118 / 166 ] simplifiying candidate # 125.721 * * * * [progress]: [ 119 / 166 ] simplifiying candidate # 125.721 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 125.721 * * [simplify]: iters left: 6 (8 enodes) 125.726 * * [simplify]: iters left: 5 (26 enodes) 125.733 * * [simplify]: iters left: 4 (43 enodes) 125.746 * * [simplify]: iters left: 3 (59 enodes) 125.757 * * [simplify]: iters left: 2 (67 enodes) 125.766 * * [simplify]: iters left: 1 (69 enodes) 125.774 * * [simplify]: Extracting #0: cost 1 inf + 0 125.774 * * [simplify]: Extracting #1: cost 14 inf + 0 125.774 * * [simplify]: Extracting #2: cost 18 inf + 2 125.775 * * [simplify]: Extracting #3: cost 7 inf + 701 125.775 * * [simplify]: Extracting #4: cost 0 inf + 1234 125.775 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 125.775 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 125.775 * * * * [progress]: [ 120 / 166 ] simplifiying candidate # 125.776 * * * * [progress]: [ 121 / 166 ] simplifiying candidate # 125.776 * * * * [progress]: [ 122 / 166 ] simplifiying candidate # 125.776 * * * * [progress]: [ 123 / 166 ] simplifiying candidate # 125.776 * * * * [progress]: [ 124 / 166 ] simplifiying candidate # 125.776 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 125.776 * * [simplify]: iters left: 6 (8 enodes) 125.779 * * [simplify]: iters left: 5 (32 enodes) 125.790 * * [simplify]: iters left: 4 (48 enodes) 125.805 * * [simplify]: iters left: 3 (76 enodes) 125.831 * * [simplify]: iters left: 2 (81 enodes) 125.844 * * [simplify]: Extracting #0: cost 1 inf + 0 125.844 * * [simplify]: Extracting #1: cost 6 inf + 0 125.844 * * [simplify]: Extracting #2: cost 9 inf + 1 125.844 * * [simplify]: Extracting #3: cost 11 inf + 1 125.844 * * [simplify]: Extracting #4: cost 2 inf + 1052 125.845 * * [simplify]: Extracting #5: cost 0 inf + 1376 125.845 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 125.845 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 125.846 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 125.846 * * [simplify]: iters left: 4 (6 enodes) 125.850 * * [simplify]: iters left: 3 (20 enodes) 125.856 * * [simplify]: iters left: 2 (22 enodes) 125.862 * * [simplify]: Extracting #0: cost 1 inf + 0 125.862 * * [simplify]: Extracting #1: cost 4 inf + 0 125.862 * * [simplify]: Extracting #2: cost 5 inf + 1 125.862 * * [simplify]: Extracting #3: cost 7 inf + 1 125.862 * * [simplify]: Extracting #4: cost 1 inf + 488 125.863 * * [simplify]: Extracting #5: cost 0 inf + 650 125.863 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 125.863 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 125.863 * * * * [progress]: [ 125 / 166 ] simplifiying candidate # 125.864 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 125.864 * * [simplify]: iters left: 6 (8 enodes) 125.869 * * [simplify]: iters left: 5 (29 enodes) 125.878 * * [simplify]: iters left: 4 (31 enodes) 125.886 * * [simplify]: Extracting #0: cost 1 inf + 0 125.886 * * [simplify]: Extracting #1: cost 4 inf + 0 125.886 * * [simplify]: Extracting #2: cost 6 inf + 1 125.887 * * [simplify]: Extracting #3: cost 9 inf + 1 125.887 * * [simplify]: Extracting #4: cost 8 inf + 2 125.887 * * [simplify]: Extracting #5: cost 2 inf + 729 125.887 * * [simplify]: Extracting #6: cost 0 inf + 972 125.887 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 125.887 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 125.888 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 125.888 * * [simplify]: iters left: 4 (6 enodes) 125.892 * * [simplify]: iters left: 3 (20 enodes) 125.897 * * [simplify]: iters left: 2 (22 enodes) 125.903 * * [simplify]: Extracting #0: cost 1 inf + 0 125.903 * * [simplify]: Extracting #1: cost 4 inf + 0 125.903 * * [simplify]: Extracting #2: cost 5 inf + 1 125.903 * * [simplify]: Extracting #3: cost 7 inf + 1 125.904 * * [simplify]: Extracting #4: cost 1 inf + 568 125.904 * * [simplify]: Extracting #5: cost 0 inf + 730 125.904 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 125.904 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 125.904 * * * * [progress]: [ 126 / 166 ] simplifiying candidate # 125.905 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 125.905 * * [simplify]: iters left: 5 (7 enodes) 125.909 * * [simplify]: iters left: 4 (25 enodes) 125.918 * * [simplify]: iters left: 3 (27 enodes) 125.925 * * [simplify]: Extracting #0: cost 1 inf + 0 125.925 * * [simplify]: Extracting #1: cost 4 inf + 0 125.925 * * [simplify]: Extracting #2: cost 5 inf + 1 125.926 * * [simplify]: Extracting #3: cost 7 inf + 1 125.926 * * [simplify]: Extracting #4: cost 6 inf + 2 125.926 * * [simplify]: Extracting #5: cost 2 inf + 368 125.926 * * [simplify]: Extracting #6: cost 0 inf + 490 125.926 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 125.926 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 125.927 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 125.927 * * [simplify]: iters left: 4 (6 enodes) 125.930 * * [simplify]: iters left: 3 (20 enodes) 125.936 * * [simplify]: iters left: 2 (22 enodes) 125.942 * * [simplify]: Extracting #0: cost 1 inf + 0 125.942 * * [simplify]: Extracting #1: cost 4 inf + 0 125.942 * * [simplify]: Extracting #2: cost 5 inf + 1 125.942 * * [simplify]: Extracting #3: cost 7 inf + 1 125.942 * * [simplify]: Extracting #4: cost 1 inf + 368 125.942 * * [simplify]: Extracting #5: cost 0 inf + 490 125.943 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 125.943 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 125.943 * * * * [progress]: [ 127 / 166 ] simplifiying candidate # 125.943 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 125.943 * * [simplify]: iters left: 5 (5 enodes) 125.952 * * [simplify]: iters left: 4 (19 enodes) 125.957 * * [simplify]: iters left: 3 (21 enodes) 125.961 * * [simplify]: Extracting #0: cost 1 inf + 0 125.961 * * [simplify]: Extracting #1: cost 0 inf + 1 125.961 * [simplify]: Simplified to 1 125.961 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 125.962 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 125.962 * * [simplify]: iters left: 3 (5 enodes) 125.964 * * [simplify]: iters left: 2 (17 enodes) 125.967 * * [simplify]: iters left: 1 (19 enodes) 125.969 * * [simplify]: Extracting #0: cost 1 inf + 0 125.969 * * [simplify]: Extracting #1: cost 4 inf + 0 125.969 * * [simplify]: Extracting #2: cost 5 inf + 1 125.969 * * [simplify]: Extracting #3: cost 0 inf + 248 125.970 * [simplify]: Simplified to (/ 1 (sqrt k)) 125.970 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 125.970 * * * * [progress]: [ 128 / 166 ] simplifiying candidate # 125.970 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 125.970 * * [simplify]: iters left: 5 (7 enodes) 125.972 * * [simplify]: iters left: 4 (25 enodes) 125.979 * * [simplify]: iters left: 3 (27 enodes) 125.983 * * [simplify]: Extracting #0: cost 1 inf + 0 125.983 * * [simplify]: Extracting #1: cost 4 inf + 0 125.983 * * [simplify]: Extracting #2: cost 5 inf + 1 125.983 * * [simplify]: Extracting #3: cost 7 inf + 1 125.983 * * [simplify]: Extracting #4: cost 6 inf + 2 125.983 * * [simplify]: Extracting #5: cost 2 inf + 368 125.983 * * [simplify]: Extracting #6: cost 0 inf + 490 125.984 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 125.984 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 125.984 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 125.984 * * [simplify]: iters left: 4 (6 enodes) 125.987 * * [simplify]: iters left: 3 (20 enodes) 125.990 * * [simplify]: iters left: 2 (22 enodes) 125.993 * * [simplify]: Extracting #0: cost 1 inf + 0 125.993 * * [simplify]: Extracting #1: cost 4 inf + 0 125.993 * * [simplify]: Extracting #2: cost 5 inf + 1 125.993 * * [simplify]: Extracting #3: cost 7 inf + 1 125.993 * * [simplify]: Extracting #4: cost 1 inf + 368 125.994 * * [simplify]: Extracting #5: cost 0 inf + 490 125.994 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 125.994 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 125.994 * * * * [progress]: [ 129 / 166 ] simplifiying candidate # 125.994 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 125.994 * * [simplify]: iters left: 5 (4 enodes) 125.998 * * [simplify]: iters left: 4 (14 enodes) 126.000 * * [simplify]: iters left: 3 (16 enodes) 126.002 * * [simplify]: Extracting #0: cost 1 inf + 0 126.002 * * [simplify]: Extracting #1: cost 0 inf + 1 126.002 * [simplify]: Simplified to 1 126.002 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 126.002 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 126.002 * * [simplify]: iters left: 3 (5 enodes) 126.005 * * [simplify]: iters left: 2 (17 enodes) 126.008 * * [simplify]: iters left: 1 (19 enodes) 126.010 * * [simplify]: Extracting #0: cost 1 inf + 0 126.010 * * [simplify]: Extracting #1: cost 4 inf + 0 126.010 * * [simplify]: Extracting #2: cost 5 inf + 1 126.011 * * [simplify]: Extracting #3: cost 0 inf + 248 126.011 * [simplify]: Simplified to (/ 1 (sqrt k)) 126.011 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 126.011 * * * * [progress]: [ 130 / 166 ] simplifiying candidate # 126.011 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 126.011 * * [simplify]: iters left: 6 (7 enodes) 126.013 * * [simplify]: iters left: 5 (25 enodes) 126.017 * * [simplify]: iters left: 4 (32 enodes) 126.022 * * [simplify]: iters left: 3 (34 enodes) 126.026 * * [simplify]: Extracting #0: cost 1 inf + 0 126.026 * * [simplify]: Extracting #1: cost 7 inf + 0 126.026 * * [simplify]: Extracting #2: cost 11 inf + 1 126.026 * * [simplify]: Extracting #3: cost 13 inf + 1 126.026 * * [simplify]: Extracting #4: cost 10 inf + 84 126.027 * * [simplify]: Extracting #5: cost 4 inf + 1014 126.027 * * [simplify]: Extracting #6: cost 1 inf + 1498 126.027 * * [simplify]: Extracting #7: cost 0 inf + 1700 126.027 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 126.027 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 126.028 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 126.028 * * [simplify]: iters left: 4 (6 enodes) 126.030 * * [simplify]: iters left: 3 (20 enodes) 126.033 * * [simplify]: iters left: 2 (22 enodes) 126.036 * * [simplify]: Extracting #0: cost 1 inf + 0 126.036 * * [simplify]: Extracting #1: cost 4 inf + 0 126.036 * * [simplify]: Extracting #2: cost 5 inf + 1 126.036 * * [simplify]: Extracting #3: cost 7 inf + 1 126.036 * * [simplify]: Extracting #4: cost 1 inf + 488 126.036 * * [simplify]: Extracting #5: cost 0 inf + 650 126.036 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 126.036 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 126.037 * * * * [progress]: [ 131 / 166 ] simplifiying candidate # 126.037 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 126.037 * * [simplify]: iters left: 6 (7 enodes) 126.039 * * [simplify]: iters left: 5 (24 enodes) 126.043 * * [simplify]: iters left: 4 (26 enodes) 126.046 * * [simplify]: Extracting #0: cost 1 inf + 0 126.046 * * [simplify]: Extracting #1: cost 4 inf + 0 126.046 * * [simplify]: Extracting #2: cost 6 inf + 1 126.046 * * [simplify]: Extracting #3: cost 9 inf + 1 126.046 * * [simplify]: Extracting #4: cost 8 inf + 2 126.047 * * [simplify]: Extracting #5: cost 2 inf + 730 126.047 * * [simplify]: Extracting #6: cost 0 inf + 972 126.047 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 126.047 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 126.047 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 126.047 * * [simplify]: iters left: 4 (6 enodes) 126.049 * * [simplify]: iters left: 3 (20 enodes) 126.052 * * [simplify]: iters left: 2 (22 enodes) 126.055 * * [simplify]: Extracting #0: cost 1 inf + 0 126.055 * * [simplify]: Extracting #1: cost 4 inf + 0 126.055 * * [simplify]: Extracting #2: cost 5 inf + 1 126.055 * * [simplify]: Extracting #3: cost 7 inf + 1 126.055 * * [simplify]: Extracting #4: cost 1 inf + 568 126.055 * * [simplify]: Extracting #5: cost 0 inf + 730 126.055 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 126.055 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 126.056 * * * * [progress]: [ 132 / 166 ] simplifiying candidate # 126.056 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 126.056 * * [simplify]: iters left: 4 (6 enodes) 126.058 * * [simplify]: iters left: 3 (20 enodes) 126.061 * * [simplify]: iters left: 2 (22 enodes) 126.066 * * [simplify]: Extracting #0: cost 1 inf + 0 126.066 * * [simplify]: Extracting #1: cost 4 inf + 0 126.066 * * [simplify]: Extracting #2: cost 5 inf + 1 126.066 * * [simplify]: Extracting #3: cost 7 inf + 1 126.066 * * [simplify]: Extracting #4: cost 1 inf + 368 126.067 * * [simplify]: Extracting #5: cost 0 inf + 490 126.067 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.067 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 126.067 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 126.067 * * [simplify]: iters left: 4 (6 enodes) 126.069 * * [simplify]: iters left: 3 (20 enodes) 126.074 * * [simplify]: iters left: 2 (22 enodes) 126.077 * * [simplify]: Extracting #0: cost 1 inf + 0 126.077 * * [simplify]: Extracting #1: cost 4 inf + 0 126.077 * * [simplify]: Extracting #2: cost 5 inf + 1 126.077 * * [simplify]: Extracting #3: cost 7 inf + 1 126.077 * * [simplify]: Extracting #4: cost 1 inf + 368 126.077 * * [simplify]: Extracting #5: cost 0 inf + 490 126.078 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.078 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 126.078 * * * * [progress]: [ 133 / 166 ] simplifiying candidate # 126.078 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 126.078 * * [simplify]: iters left: 3 (3 enodes) 126.080 * * [simplify]: iters left: 2 (9 enodes) 126.081 * * [simplify]: iters left: 1 (11 enodes) 126.083 * * [simplify]: Extracting #0: cost 1 inf + 0 126.083 * * [simplify]: Extracting #1: cost 0 inf + 1 126.083 * [simplify]: Simplified to 1 126.083 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 126.083 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 126.083 * * [simplify]: iters left: 3 (5 enodes) 126.085 * * [simplify]: iters left: 2 (17 enodes) 126.088 * * [simplify]: iters left: 1 (19 enodes) 126.090 * * [simplify]: Extracting #0: cost 1 inf + 0 126.090 * * [simplify]: Extracting #1: cost 4 inf + 0 126.090 * * [simplify]: Extracting #2: cost 5 inf + 1 126.090 * * [simplify]: Extracting #3: cost 0 inf + 248 126.091 * [simplify]: Simplified to (/ 1 (sqrt k)) 126.091 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 126.091 * * * * [progress]: [ 134 / 166 ] simplifiying candidate # 126.091 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 126.091 * * [simplify]: iters left: 4 (6 enodes) 126.093 * * [simplify]: iters left: 3 (20 enodes) 126.096 * * [simplify]: iters left: 2 (22 enodes) 126.099 * * [simplify]: Extracting #0: cost 1 inf + 0 126.099 * * [simplify]: Extracting #1: cost 4 inf + 0 126.099 * * [simplify]: Extracting #2: cost 5 inf + 1 126.099 * * [simplify]: Extracting #3: cost 7 inf + 1 126.099 * * [simplify]: Extracting #4: cost 1 inf + 368 126.099 * * [simplify]: Extracting #5: cost 0 inf + 490 126.099 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.099 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 126.099 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 126.099 * * [simplify]: iters left: 4 (6 enodes) 126.101 * * [simplify]: iters left: 3 (20 enodes) 126.104 * * [simplify]: iters left: 2 (22 enodes) 126.108 * * [simplify]: Extracting #0: cost 1 inf + 0 126.108 * * [simplify]: Extracting #1: cost 4 inf + 0 126.108 * * [simplify]: Extracting #2: cost 5 inf + 1 126.108 * * [simplify]: Extracting #3: cost 7 inf + 1 126.109 * * [simplify]: Extracting #4: cost 1 inf + 368 126.109 * * [simplify]: Extracting #5: cost 0 inf + 490 126.109 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.109 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 126.109 * * * * [progress]: [ 135 / 166 ] simplifiying candidate # 126.109 * [simplify]: Simplifying (/ (sqrt 1) 1) 126.109 * * [simplify]: iters left: 3 (3 enodes) 126.113 * * [simplify]: iters left: 2 (9 enodes) 126.115 * * [simplify]: iters left: 1 (11 enodes) 126.118 * * [simplify]: Extracting #0: cost 1 inf + 0 126.118 * * [simplify]: Extracting #1: cost 0 inf + 1 126.118 * [simplify]: Simplified to 1 126.118 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 126.119 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 126.119 * * [simplify]: iters left: 3 (5 enodes) 126.123 * * [simplify]: iters left: 2 (17 enodes) 126.127 * * [simplify]: iters left: 1 (19 enodes) 126.130 * * [simplify]: Extracting #0: cost 1 inf + 0 126.130 * * [simplify]: Extracting #1: cost 4 inf + 0 126.130 * * [simplify]: Extracting #2: cost 5 inf + 1 126.130 * * [simplify]: Extracting #3: cost 0 inf + 248 126.130 * [simplify]: Simplified to (/ 1 (sqrt k)) 126.130 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 126.130 * * * * [progress]: [ 136 / 166 ] simplifiying candidate # 126.130 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 126.130 * * [simplify]: iters left: 6 (6 enodes) 126.132 * * [simplify]: iters left: 5 (22 enodes) 126.135 * * [simplify]: iters left: 4 (26 enodes) 126.139 * * [simplify]: Extracting #0: cost 1 inf + 0 126.139 * * [simplify]: Extracting #1: cost 6 inf + 0 126.139 * * [simplify]: Extracting #2: cost 9 inf + 1 126.139 * * [simplify]: Extracting #3: cost 11 inf + 1 126.139 * * [simplify]: Extracting #4: cost 8 inf + 84 126.139 * * [simplify]: Extracting #5: cost 2 inf + 1013 126.139 * * [simplify]: Extracting #6: cost 0 inf + 1376 126.140 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 126.140 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 126.140 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 126.140 * * [simplify]: iters left: 4 (5 enodes) 126.141 * * [simplify]: iters left: 3 (17 enodes) 126.144 * * [simplify]: iters left: 2 (19 enodes) 126.147 * * [simplify]: Extracting #0: cost 1 inf + 0 126.147 * * [simplify]: Extracting #1: cost 4 inf + 0 126.147 * * [simplify]: Extracting #2: cost 5 inf + 1 126.147 * * [simplify]: Extracting #3: cost 7 inf + 1 126.147 * * [simplify]: Extracting #4: cost 0 inf + 650 126.147 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 126.147 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 126.147 * * * * [progress]: [ 137 / 166 ] simplifiying candidate # 126.147 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 126.148 * * [simplify]: iters left: 6 (6 enodes) 126.149 * * [simplify]: iters left: 5 (21 enodes) 126.153 * * [simplify]: iters left: 4 (23 enodes) 126.156 * * [simplify]: Extracting #0: cost 1 inf + 0 126.156 * * [simplify]: Extracting #1: cost 4 inf + 0 126.156 * * [simplify]: Extracting #2: cost 6 inf + 1 126.156 * * [simplify]: Extracting #3: cost 9 inf + 1 126.156 * * [simplify]: Extracting #4: cost 8 inf + 2 126.156 * * [simplify]: Extracting #5: cost 1 inf + 810 126.157 * * [simplify]: Extracting #6: cost 0 inf + 972 126.157 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 126.157 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 126.157 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 126.157 * * [simplify]: iters left: 4 (5 enodes) 126.158 * * [simplify]: iters left: 3 (17 enodes) 126.163 * * [simplify]: iters left: 2 (19 enodes) 126.166 * * [simplify]: Extracting #0: cost 1 inf + 0 126.166 * * [simplify]: Extracting #1: cost 4 inf + 0 126.166 * * [simplify]: Extracting #2: cost 5 inf + 1 126.166 * * [simplify]: Extracting #3: cost 7 inf + 1 126.167 * * [simplify]: Extracting #4: cost 0 inf + 730 126.167 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 126.167 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 126.167 * * * * [progress]: [ 138 / 166 ] simplifiying candidate # 126.167 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 126.167 * * [simplify]: iters left: 4 (5 enodes) 126.168 * * [simplify]: iters left: 3 (17 enodes) 126.171 * * [simplify]: iters left: 2 (19 enodes) 126.174 * * [simplify]: Extracting #0: cost 1 inf + 0 126.174 * * [simplify]: Extracting #1: cost 4 inf + 0 126.174 * * [simplify]: Extracting #2: cost 5 inf + 1 126.174 * * [simplify]: Extracting #3: cost 7 inf + 1 126.174 * * [simplify]: Extracting #4: cost 0 inf + 490 126.174 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.174 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 126.174 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 126.174 * * [simplify]: iters left: 4 (5 enodes) 126.176 * * [simplify]: iters left: 3 (17 enodes) 126.179 * * [simplify]: iters left: 2 (19 enodes) 126.182 * * [simplify]: Extracting #0: cost 1 inf + 0 126.182 * * [simplify]: Extracting #1: cost 4 inf + 0 126.182 * * [simplify]: Extracting #2: cost 5 inf + 1 126.182 * * [simplify]: Extracting #3: cost 7 inf + 1 126.182 * * [simplify]: Extracting #4: cost 0 inf + 490 126.182 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.182 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 126.182 * * * * [progress]: [ 139 / 166 ] simplifiying candidate # 126.182 * [simplify]: Simplifying (/ 1 (sqrt 1)) 126.182 * * [simplify]: iters left: 3 (3 enodes) 126.186 * * [simplify]: iters left: 2 (11 enodes) 126.187 * * [simplify]: iters left: 1 (13 enodes) 126.189 * * [simplify]: Extracting #0: cost 1 inf + 0 126.189 * * [simplify]: Extracting #1: cost 0 inf + 1 126.189 * [simplify]: Simplified to 1 126.189 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 126.189 * [simplify]: Simplifying (/ 1 (sqrt k)) 126.189 * * [simplify]: iters left: 3 (4 enodes) 126.190 * * [simplify]: iters left: 2 (14 enodes) 126.192 * * [simplify]: iters left: 1 (16 enodes) 126.195 * * [simplify]: Extracting #0: cost 1 inf + 0 126.195 * * [simplify]: Extracting #1: cost 4 inf + 0 126.195 * * [simplify]: Extracting #2: cost 5 inf + 1 126.195 * * [simplify]: Extracting #3: cost 3 inf + 43 126.195 * * [simplify]: Extracting #4: cost 1 inf + 166 126.195 * * [simplify]: Extracting #5: cost 0 inf + 248 126.195 * [simplify]: Simplified to (/ 1 (sqrt k)) 126.195 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 126.195 * * * * [progress]: [ 140 / 166 ] simplifiying candidate # 126.195 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 126.195 * * [simplify]: iters left: 4 (5 enodes) 126.197 * * [simplify]: iters left: 3 (17 enodes) 126.199 * * [simplify]: iters left: 2 (19 enodes) 126.202 * * [simplify]: Extracting #0: cost 1 inf + 0 126.202 * * [simplify]: Extracting #1: cost 4 inf + 0 126.202 * * [simplify]: Extracting #2: cost 5 inf + 1 126.202 * * [simplify]: Extracting #3: cost 7 inf + 1 126.202 * * [simplify]: Extracting #4: cost 0 inf + 490 126.202 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.202 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 126.202 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 126.203 * * [simplify]: iters left: 4 (5 enodes) 126.204 * * [simplify]: iters left: 3 (17 enodes) 126.206 * * [simplify]: iters left: 2 (19 enodes) 126.209 * * [simplify]: Extracting #0: cost 1 inf + 0 126.209 * * [simplify]: Extracting #1: cost 4 inf + 0 126.209 * * [simplify]: Extracting #2: cost 5 inf + 1 126.209 * * [simplify]: Extracting #3: cost 7 inf + 1 126.209 * * [simplify]: Extracting #4: cost 0 inf + 490 126.209 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.209 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 126.209 * * * * [progress]: [ 141 / 166 ] simplifiying candidate # 126.210 * [simplify]: Simplifying (/ 1 1) 126.210 * * [simplify]: iters left: 2 (2 enodes) 126.210 * * [simplify]: iters left: 1 (6 enodes) 126.212 * * [simplify]: Extracting #0: cost 1 inf + 0 126.212 * * [simplify]: Extracting #1: cost 0 inf + 1 126.212 * [simplify]: Simplified to 1 126.212 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 126.212 * [simplify]: Simplifying (/ 1 (sqrt k)) 126.212 * * [simplify]: iters left: 3 (4 enodes) 126.213 * * [simplify]: iters left: 2 (14 enodes) 126.215 * * [simplify]: iters left: 1 (16 enodes) 126.217 * * [simplify]: Extracting #0: cost 1 inf + 0 126.217 * * [simplify]: Extracting #1: cost 4 inf + 0 126.218 * * [simplify]: Extracting #2: cost 5 inf + 1 126.218 * * [simplify]: Extracting #3: cost 3 inf + 43 126.218 * * [simplify]: Extracting #4: cost 1 inf + 166 126.218 * * [simplify]: Extracting #5: cost 0 inf + 248 126.218 * [simplify]: Simplified to (/ 1 (sqrt k)) 126.218 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 126.218 * * * * [progress]: [ 142 / 166 ] simplifiying candidate # 126.218 * * * * [progress]: [ 143 / 166 ] simplifiying candidate # 126.218 * * * * [progress]: [ 144 / 166 ] simplifiying candidate # 126.218 * * * * [progress]: [ 145 / 166 ] simplifiying candidate # 126.218 * [simplify]: Simplifying (cbrt (sqrt k)) 126.218 * * [simplify]: iters left: 2 (3 enodes) 126.219 * * [simplify]: iters left: 1 (9 enodes) 126.220 * * [simplify]: Extracting #0: cost 1 inf + 0 126.220 * * [simplify]: Extracting #1: cost 3 inf + 0 126.220 * * [simplify]: Extracting #2: cost 5 inf + 0 126.220 * * [simplify]: Extracting #3: cost 4 inf + 1 126.220 * * [simplify]: Extracting #4: cost 0 inf + 325 126.220 * [simplify]: Simplified to (cbrt (sqrt k)) 126.220 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 126.220 * * * * [progress]: [ 146 / 166 ] simplifiying candidate # 126.220 * [simplify]: Simplifying (sqrt (cbrt k)) 126.220 * * [simplify]: iters left: 2 (3 enodes) 126.221 * * [simplify]: iters left: 1 (9 enodes) 126.222 * * [simplify]: Extracting #0: cost 1 inf + 0 126.222 * * [simplify]: Extracting #1: cost 3 inf + 0 126.222 * * [simplify]: Extracting #2: cost 5 inf + 0 126.222 * * [simplify]: Extracting #3: cost 4 inf + 1 126.222 * * [simplify]: Extracting #4: cost 0 inf + 405 126.222 * [simplify]: Simplified to (sqrt (cbrt k)) 126.222 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 126.222 * * * * [progress]: [ 147 / 166 ] simplifiying candidate # 126.223 * [simplify]: Simplifying (sqrt (sqrt k)) 126.223 * * [simplify]: iters left: 2 (3 enodes) 126.223 * * [simplify]: iters left: 1 (9 enodes) 126.224 * * [simplify]: Extracting #0: cost 1 inf + 0 126.224 * * [simplify]: Extracting #1: cost 3 inf + 0 126.224 * * [simplify]: Extracting #2: cost 5 inf + 0 126.224 * * [simplify]: Extracting #3: cost 4 inf + 1 126.225 * * [simplify]: Extracting #4: cost 0 inf + 245 126.225 * [simplify]: Simplified to (sqrt (sqrt k)) 126.225 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 126.225 * * * * [progress]: [ 148 / 166 ] simplifiying candidate # 126.225 * [simplify]: Simplifying (sqrt k) 126.225 * * [simplify]: iters left: 1 (2 enodes) 126.225 * * [simplify]: Extracting #0: cost 1 inf + 0 126.225 * * [simplify]: Extracting #1: cost 3 inf + 0 126.225 * * [simplify]: Extracting #2: cost 2 inf + 1 126.225 * * [simplify]: Extracting #3: cost 0 inf + 83 126.226 * [simplify]: Simplified to (sqrt k) 126.226 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 126.226 * * * * [progress]: [ 149 / 166 ] simplifiying candidate # 126.226 * [simplify]: Simplifying (sqrt (sqrt k)) 126.226 * * [simplify]: iters left: 2 (3 enodes) 126.227 * * [simplify]: iters left: 1 (9 enodes) 126.228 * * [simplify]: Extracting #0: cost 1 inf + 0 126.228 * * [simplify]: Extracting #1: cost 3 inf + 0 126.228 * * [simplify]: Extracting #2: cost 5 inf + 0 126.228 * * [simplify]: Extracting #3: cost 4 inf + 1 126.228 * * [simplify]: Extracting #4: cost 0 inf + 245 126.228 * [simplify]: Simplified to (sqrt (sqrt k)) 126.228 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 126.228 * * * * [progress]: [ 150 / 166 ] simplifiying candidate # 126.228 * [simplify]: Simplifying (sqrt k) 126.229 * * [simplify]: iters left: 1 (2 enodes) 126.229 * * [simplify]: Extracting #0: cost 1 inf + 0 126.229 * * [simplify]: Extracting #1: cost 3 inf + 0 126.229 * * [simplify]: Extracting #2: cost 2 inf + 1 126.229 * * [simplify]: Extracting #3: cost 0 inf + 83 126.229 * [simplify]: Simplified to (sqrt k) 126.229 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 1) (sqrt k)))) 126.229 * * * * [progress]: [ 151 / 166 ] simplifiying candidate # 126.229 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 126.229 * * [simplify]: iters left: 3 (3 enodes) 126.233 * * [simplify]: iters left: 2 (11 enodes) 126.235 * * [simplify]: iters left: 1 (13 enodes) 126.237 * * [simplify]: Extracting #0: cost 1 inf + 0 126.237 * * [simplify]: Extracting #1: cost 0 inf + 1 126.237 * [simplify]: Simplified to 1 126.237 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 126.237 * * * * [progress]: [ 152 / 166 ] simplifiying candidate # 126.237 * [simplify]: Simplifying (sqrt 1) 126.237 * * [simplify]: iters left: 1 (2 enodes) 126.239 * * [simplify]: Extracting #0: cost 1 inf + 0 126.239 * * [simplify]: Extracting #1: cost 0 inf + 1 126.239 * [simplify]: Simplified to 1 126.239 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 126.239 * * * * [progress]: [ 153 / 166 ] simplifiying candidate # 126.240 * * * * [progress]: [ 154 / 166 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 126.240 * * * * [progress]: [ 155 / 166 ] simplifiying candidate # 126.240 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 126.240 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 126.240 * * * * [progress]: [ 156 / 166 ] simplifiying candidate # 126.240 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 126.240 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 126.241 * * * * [progress]: [ 157 / 166 ] simplifiying candidate # 126.241 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 126.241 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 126.241 * * * * [progress]: [ 158 / 166 ] simplifiying candidate # 126.242 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 126.242 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 126.242 * * * * [progress]: [ 159 / 166 ] simplifiying candidate # 126.242 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 126.242 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 126.243 * * * * [progress]: [ 160 / 166 ] simplifiying candidate # 126.243 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 126.243 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 126.243 * * * * [progress]: [ 161 / 166 ] simplifiying candidate # 126.243 * [simplify]: Simplifying (* 2 (* n PI)) 126.243 * * [simplify]: iters left: 4 (5 enodes) 126.245 * * [simplify]: iters left: 3 (19 enodes) 126.251 * * [simplify]: iters left: 2 (27 enodes) 126.255 * * [simplify]: iters left: 1 (32 enodes) 126.259 * * [simplify]: Extracting #0: cost 1 inf + 0 126.259 * * [simplify]: Extracting #1: cost 8 inf + 0 126.259 * * [simplify]: Extracting #2: cost 7 inf + 45 126.259 * * [simplify]: Extracting #3: cost 0 inf + 421 126.259 * [simplify]: Simplified to (* (* PI n) 2) 126.259 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 126.260 * * * * [progress]: [ 162 / 166 ] simplifiying candidate # 126.260 * [simplify]: Simplifying (* 2 (* n PI)) 126.260 * * [simplify]: iters left: 4 (5 enodes) 126.261 * * [simplify]: iters left: 3 (19 enodes) 126.264 * * [simplify]: iters left: 2 (27 enodes) 126.268 * * [simplify]: iters left: 1 (32 enodes) 126.272 * * [simplify]: Extracting #0: cost 1 inf + 0 126.272 * * [simplify]: Extracting #1: cost 8 inf + 0 126.272 * * [simplify]: Extracting #2: cost 7 inf + 45 126.272 * * [simplify]: Extracting #3: cost 0 inf + 421 126.273 * [simplify]: Simplified to (* (* PI n) 2) 126.273 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 126.273 * * * * [progress]: [ 163 / 166 ] simplifiying candidate # 126.273 * [simplify]: Simplifying (* 2 (* n PI)) 126.273 * * [simplify]: iters left: 4 (5 enodes) 126.274 * * [simplify]: iters left: 3 (19 enodes) 126.278 * * [simplify]: iters left: 2 (27 enodes) 126.281 * * [simplify]: iters left: 1 (32 enodes) 126.285 * * [simplify]: Extracting #0: cost 1 inf + 0 126.285 * * [simplify]: Extracting #1: cost 8 inf + 0 126.286 * * [simplify]: Extracting #2: cost 7 inf + 45 126.286 * * [simplify]: Extracting #3: cost 0 inf + 421 126.286 * [simplify]: Simplified to (* (* PI n) 2) 126.286 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 126.286 * * * * [progress]: [ 164 / 166 ] simplifiying candidate # 126.287 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 126.287 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 126.287 * * * * [progress]: [ 165 / 166 ] simplifiying candidate # 126.287 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 126.287 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 126.287 * * * * [progress]: [ 166 / 166 ] simplifiying candidate # 126.288 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 126.288 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 126.288 * * * [progress]: adding candidates to table 128.401 * [progress]: [Phase 3 of 3] Extracting. 128.402 * * [regime]: Finding splitpoints for: (# # # # # # #) 128.403 * * * [regime-changes]: Trying 2 branch expressions: (n k) 128.403 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 128.488 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 128.561 * * * [regime]: Found split indices: #