0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.193 * * * [progress]: [2/2] Setting up program. 0.199 * [progress]: [Phase 2 of 3] Improving. 0.199 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.200 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.200 * * [simplify]: iters left: 6 (13 enodes) 0.207 * * [simplify]: iters left: 5 (57 enodes) 0.255 * * [simplify]: iters left: 4 (96 enodes) 0.274 * * [simplify]: iters left: 3 (174 enodes) 0.340 * * [simplify]: iters left: 2 (354 enodes) 0.473 * * [simplify]: Extracting #0: cost 1 inf + 0 0.473 * * [simplify]: Extracting #1: cost 44 inf + 0 0.474 * * [simplify]: Extracting #2: cost 135 inf + 1 0.474 * * [simplify]: Extracting #3: cost 177 inf + 127 0.475 * * [simplify]: Extracting #4: cost 179 inf + 468 0.477 * * [simplify]: Extracting #5: cost 133 inf + 9682 0.483 * * [simplify]: Extracting #6: cost 56 inf + 43879 0.496 * * [simplify]: Extracting #7: cost 2 inf + 85360 0.513 * * [simplify]: Extracting #8: cost 0 inf + 87304 0.527 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.527 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.534 * * [progress]: iteration 1 / 4 0.534 * * * [progress]: picking best candidate 0.539 * * * * [pick]: Picked # 0.539 * * * [progress]: localizing error 0.577 * * * [progress]: generating rewritten candidates 0.577 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.604 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.636 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.660 * * * [progress]: generating series expansions 0.660 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.661 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.661 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.661 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.661 * [taylor]: Taking taylor expansion of 1/2 in k 0.661 * [backup-simplify]: Simplify 1/2 into 1/2 0.661 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.661 * [taylor]: Taking taylor expansion of 1 in k 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [taylor]: Taking taylor expansion of k in k 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.661 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.661 * [taylor]: Taking taylor expansion of 2 in k 0.661 * [backup-simplify]: Simplify 2 into 2 0.661 * [taylor]: Taking taylor expansion of (* n PI) in k 0.661 * [taylor]: Taking taylor expansion of n in k 0.662 * [backup-simplify]: Simplify n into n 0.662 * [taylor]: Taking taylor expansion of PI in k 0.662 * [backup-simplify]: Simplify PI into PI 0.662 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.662 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.662 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.662 * [backup-simplify]: Simplify (- 0) into 0 0.663 * [backup-simplify]: Simplify (+ 1 0) into 1 0.663 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.663 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.663 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.663 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.663 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.664 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.664 * [taylor]: Taking taylor expansion of 1/2 in n 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.664 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.664 * [taylor]: Taking taylor expansion of 1 in n 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of k in n 0.664 * [backup-simplify]: Simplify k into k 0.664 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.664 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.664 * [taylor]: Taking taylor expansion of 2 in n 0.664 * [backup-simplify]: Simplify 2 into 2 0.664 * [taylor]: Taking taylor expansion of (* n PI) in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of PI in n 0.664 * [backup-simplify]: Simplify PI into PI 0.664 * [backup-simplify]: Simplify (* 0 PI) into 0 0.665 * [backup-simplify]: Simplify (* 2 0) into 0 0.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.668 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.669 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.669 * [backup-simplify]: Simplify (- k) into (- k) 0.669 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.669 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.670 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.672 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.673 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.673 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.673 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.673 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.673 * [taylor]: Taking taylor expansion of 1/2 in n 0.673 * [backup-simplify]: Simplify 1/2 into 1/2 0.673 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.673 * [taylor]: Taking taylor expansion of 1 in n 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [taylor]: Taking taylor expansion of k in n 0.673 * [backup-simplify]: Simplify k into k 0.673 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.673 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.673 * [taylor]: Taking taylor expansion of 2 in n 0.673 * [backup-simplify]: Simplify 2 into 2 0.673 * [taylor]: Taking taylor expansion of (* n PI) in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of PI in n 0.674 * [backup-simplify]: Simplify PI into PI 0.674 * [backup-simplify]: Simplify (* 0 PI) into 0 0.674 * [backup-simplify]: Simplify (* 2 0) into 0 0.676 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.677 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.679 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.679 * [backup-simplify]: Simplify (- k) into (- k) 0.679 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.679 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 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)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.682 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.683 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.683 * [taylor]: Taking taylor expansion of 1/2 in k 0.683 * [backup-simplify]: Simplify 1/2 into 1/2 0.683 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.683 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.683 * [taylor]: Taking taylor expansion of 1 in k 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [taylor]: Taking taylor expansion of k in k 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.683 * [taylor]: Taking taylor expansion of (log n) in k 0.683 * [taylor]: Taking taylor expansion of n in k 0.683 * [backup-simplify]: Simplify n into n 0.683 * [backup-simplify]: Simplify (log n) into (log n) 0.683 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.683 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.683 * [taylor]: Taking taylor expansion of 2 in k 0.683 * [backup-simplify]: Simplify 2 into 2 0.683 * [taylor]: Taking taylor expansion of PI in k 0.683 * [backup-simplify]: Simplify PI into PI 0.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.685 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify (+ 1 0) into 1 0.687 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.688 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.689 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.690 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.691 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.697 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.698 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.700 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.700 * [taylor]: Taking taylor expansion of 0 in k 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.702 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (- 1) into -1 0.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.708 * [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))))) 0.711 * [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))))))) 0.714 * [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))))))) 0.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.724 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.726 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in k 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.731 * [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 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.737 * [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))))) 0.740 * [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))))) 0.750 * [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))))) 0.751 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.751 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.751 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.751 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.751 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.751 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.751 * [taylor]: Taking taylor expansion of 1/2 in k 0.751 * [backup-simplify]: Simplify 1/2 into 1/2 0.751 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.751 * [taylor]: Taking taylor expansion of 1 in k 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.751 * [taylor]: Taking taylor expansion of k in k 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.751 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.751 * [taylor]: Taking taylor expansion of 2 in k 0.751 * [backup-simplify]: Simplify 2 into 2 0.751 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.751 * [taylor]: Taking taylor expansion of PI in k 0.751 * [backup-simplify]: Simplify PI into PI 0.751 * [taylor]: Taking taylor expansion of n in k 0.751 * [backup-simplify]: Simplify n into n 0.751 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.751 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.752 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.752 * [backup-simplify]: Simplify (- 1) into -1 0.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.752 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.752 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.753 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.753 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.753 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.753 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.753 * [taylor]: Taking taylor expansion of 1/2 in n 0.753 * [backup-simplify]: Simplify 1/2 into 1/2 0.753 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.753 * [taylor]: Taking taylor expansion of 1 in n 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.753 * [backup-simplify]: Simplify k into k 0.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.753 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.753 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.753 * [taylor]: Taking taylor expansion of 2 in n 0.753 * [backup-simplify]: Simplify 2 into 2 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [backup-simplify]: Simplify PI into PI 0.753 * [taylor]: Taking taylor expansion of n in n 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ PI 1) into PI 0.754 * [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)) into (- (/ 1 k)) 0.754 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.754 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.756 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.756 * [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))))) 0.757 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.757 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.757 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.757 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.757 * [taylor]: Taking taylor expansion of 1/2 in n 0.757 * [backup-simplify]: Simplify 1/2 into 1/2 0.757 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.757 * [taylor]: Taking taylor expansion of 1 in n 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.757 * [taylor]: Taking taylor expansion of k in n 0.757 * [backup-simplify]: Simplify k into k 0.757 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.757 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.757 * [taylor]: Taking taylor expansion of 2 in n 0.757 * [backup-simplify]: Simplify 2 into 2 0.757 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.757 * [taylor]: Taking taylor expansion of PI in n 0.757 * [backup-simplify]: Simplify PI into PI 0.757 * [taylor]: Taking taylor expansion of n in n 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ PI 1) into PI 0.757 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.758 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.758 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.758 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.758 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.760 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.761 * [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))))) 0.761 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.761 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.761 * [taylor]: Taking taylor expansion of 1/2 in k 0.761 * [backup-simplify]: Simplify 1/2 into 1/2 0.761 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.761 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.761 * [taylor]: Taking taylor expansion of 1 in k 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.761 * [taylor]: Taking taylor expansion of k in k 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.761 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.761 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.761 * [taylor]: Taking taylor expansion of 2 in k 0.761 * [backup-simplify]: Simplify 2 into 2 0.761 * [taylor]: Taking taylor expansion of PI in k 0.761 * [backup-simplify]: Simplify PI into PI 0.762 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.762 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.762 * [taylor]: Taking taylor expansion of (log n) in k 0.762 * [taylor]: Taking taylor expansion of n in k 0.762 * [backup-simplify]: Simplify n into n 0.762 * [backup-simplify]: Simplify (log n) into (log n) 0.763 * [backup-simplify]: Simplify (- 1) into -1 0.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.763 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.764 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.765 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.766 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.767 * [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))))) 0.769 * [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))))) 0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.773 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.776 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.778 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.778 * [taylor]: Taking taylor expansion of 0 in k 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.785 * [backup-simplify]: Simplify (- 0) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.789 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.791 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.792 * [taylor]: Taking taylor expansion of 0 in k 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.800 * [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 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.801 * [backup-simplify]: Simplify (- 0) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.806 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.809 * [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 0.809 * [taylor]: Taking taylor expansion of 0 in k 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [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)))))) 0.811 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.811 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.811 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.811 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.811 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.811 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.811 * [taylor]: Taking taylor expansion of 1/2 in k 0.811 * [backup-simplify]: Simplify 1/2 into 1/2 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.811 * [taylor]: Taking taylor expansion of k in k 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [taylor]: Taking taylor expansion of 1 in k 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.812 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.812 * [taylor]: Taking taylor expansion of -2 in k 0.812 * [backup-simplify]: Simplify -2 into -2 0.812 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.812 * [taylor]: Taking taylor expansion of PI in k 0.812 * [backup-simplify]: Simplify PI into PI 0.812 * [taylor]: Taking taylor expansion of n in k 0.812 * [backup-simplify]: Simplify n into n 0.812 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.812 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.812 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.813 * [backup-simplify]: Simplify (+ 1 0) into 1 0.813 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.813 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.814 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.814 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.814 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.814 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.814 * [taylor]: Taking taylor expansion of 1/2 in n 0.814 * [backup-simplify]: Simplify 1/2 into 1/2 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.814 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.814 * [taylor]: Taking taylor expansion of k in n 0.814 * [backup-simplify]: Simplify k into k 0.814 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.814 * [taylor]: Taking taylor expansion of 1 in n 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.814 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.814 * [taylor]: Taking taylor expansion of -2 in n 0.814 * [backup-simplify]: Simplify -2 into -2 0.814 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.814 * [taylor]: Taking taylor expansion of PI in n 0.814 * [backup-simplify]: Simplify PI into PI 0.814 * [taylor]: Taking taylor expansion of n in n 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (/ PI 1) into PI 0.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.816 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.816 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.819 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.820 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.820 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.820 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.820 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.820 * [taylor]: Taking taylor expansion of 1/2 in n 0.820 * [backup-simplify]: Simplify 1/2 into 1/2 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.820 * [taylor]: Taking taylor expansion of k in n 0.821 * [backup-simplify]: Simplify k into k 0.821 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.821 * [taylor]: Taking taylor expansion of 1 in n 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.821 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.821 * [taylor]: Taking taylor expansion of -2 in n 0.821 * [backup-simplify]: Simplify -2 into -2 0.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.821 * [taylor]: Taking taylor expansion of PI in n 0.821 * [backup-simplify]: Simplify PI into PI 0.821 * [taylor]: Taking taylor expansion of n in n 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ PI 1) into PI 0.822 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.823 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.823 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.823 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.826 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.827 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.827 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.827 * [taylor]: Taking taylor expansion of 1/2 in k 0.827 * [backup-simplify]: Simplify 1/2 into 1/2 0.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.827 * [taylor]: Taking taylor expansion of k in k 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of 1 in k 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.828 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.828 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.828 * [taylor]: Taking taylor expansion of -2 in k 0.828 * [backup-simplify]: Simplify -2 into -2 0.828 * [taylor]: Taking taylor expansion of PI in k 0.828 * [backup-simplify]: Simplify PI into PI 0.828 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.829 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.829 * [taylor]: Taking taylor expansion of (log n) in k 0.829 * [taylor]: Taking taylor expansion of n in k 0.829 * [backup-simplify]: Simplify n into n 0.829 * [backup-simplify]: Simplify (log n) into (log n) 0.830 * [backup-simplify]: Simplify (+ 1 0) into 1 0.830 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.831 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.832 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.833 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.834 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.835 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.843 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in k 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.855 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.857 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.857 * [taylor]: Taking taylor expansion of 0 in k 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.865 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 0.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.869 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.871 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.873 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.873 * [taylor]: Taking taylor expansion of 0 in k 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.875 * [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)))))) 0.875 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.875 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.875 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.875 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.875 * [taylor]: Taking taylor expansion of 2 in n 0.875 * [backup-simplify]: Simplify 2 into 2 0.876 * [taylor]: Taking taylor expansion of (* n PI) in n 0.876 * [taylor]: Taking taylor expansion of n in n 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [taylor]: Taking taylor expansion of PI in n 0.876 * [backup-simplify]: Simplify PI into PI 0.876 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.876 * [taylor]: Taking taylor expansion of 2 in n 0.876 * [backup-simplify]: Simplify 2 into 2 0.876 * [taylor]: Taking taylor expansion of (* n PI) in n 0.876 * [taylor]: Taking taylor expansion of n in n 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [taylor]: Taking taylor expansion of PI in n 0.876 * [backup-simplify]: Simplify PI into PI 0.876 * [backup-simplify]: Simplify (* 0 PI) into 0 0.877 * [backup-simplify]: Simplify (* 2 0) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.887 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.887 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.907 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.907 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.907 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.907 * [taylor]: Taking taylor expansion of 2 in n 0.907 * [backup-simplify]: Simplify 2 into 2 0.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [backup-simplify]: Simplify PI into PI 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ PI 1) into PI 0.908 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.908 * [taylor]: Taking taylor expansion of 2 in n 0.908 * [backup-simplify]: Simplify 2 into 2 0.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.908 * [taylor]: Taking taylor expansion of PI in n 0.908 * [backup-simplify]: Simplify PI into PI 0.908 * [taylor]: Taking taylor expansion of n in n 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ PI 1) into PI 0.909 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.910 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [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 0.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.925 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.925 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.925 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.925 * [taylor]: Taking taylor expansion of -2 in n 0.925 * [backup-simplify]: Simplify -2 into -2 0.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.925 * [taylor]: Taking taylor expansion of PI in n 0.925 * [backup-simplify]: Simplify PI into PI 0.925 * [taylor]: Taking taylor expansion of n in n 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (/ PI 1) into PI 0.926 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.926 * [taylor]: Taking taylor expansion of -2 in n 0.926 * [backup-simplify]: Simplify -2 into -2 0.926 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.926 * [taylor]: Taking taylor expansion of PI in n 0.926 * [backup-simplify]: Simplify PI into PI 0.926 * [taylor]: Taking taylor expansion of n in n 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (/ PI 1) into PI 0.927 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.927 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.942 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.942 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.942 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.942 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.942 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.942 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.942 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.942 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.942 * [taylor]: Taking taylor expansion of 1/2 in k 0.942 * [backup-simplify]: Simplify 1/2 into 1/2 0.942 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.943 * [taylor]: Taking taylor expansion of 1 in k 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of k in k 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.943 * [taylor]: Taking taylor expansion of 2 in k 0.943 * [backup-simplify]: Simplify 2 into 2 0.943 * [taylor]: Taking taylor expansion of (* n PI) in k 0.943 * [taylor]: Taking taylor expansion of n in k 0.943 * [backup-simplify]: Simplify n into n 0.943 * [taylor]: Taking taylor expansion of PI in k 0.943 * [backup-simplify]: Simplify PI into PI 0.943 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.943 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.943 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 1 0) into 1 0.944 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.945 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.945 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 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 0.946 * [backup-simplify]: Simplify (sqrt 0) into 0 0.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.947 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.947 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.947 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.947 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.947 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.947 * [taylor]: Taking taylor expansion of 1/2 in n 0.947 * [backup-simplify]: Simplify 1/2 into 1/2 0.947 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.947 * [taylor]: Taking taylor expansion of 1 in n 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [taylor]: Taking taylor expansion of k in n 0.948 * [backup-simplify]: Simplify k into k 0.948 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.948 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) 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 (* n PI) in n 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 * [taylor]: Taking taylor expansion of PI in n 0.948 * [backup-simplify]: Simplify PI into PI 0.948 * [backup-simplify]: Simplify (* 0 PI) into 0 0.949 * [backup-simplify]: Simplify (* 2 0) into 0 0.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.952 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.952 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.953 * [backup-simplify]: Simplify (- k) into (- k) 0.953 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.953 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.955 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.956 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.956 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 k) into (/ 1 k) 0.956 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.957 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.957 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.957 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.957 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.957 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.957 * [taylor]: Taking taylor expansion of 1/2 in n 0.957 * [backup-simplify]: Simplify 1/2 into 1/2 0.957 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.957 * [taylor]: Taking taylor expansion of 1 in n 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [taylor]: Taking taylor expansion of k in n 0.957 * [backup-simplify]: Simplify k into k 0.957 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.957 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.957 * [taylor]: Taking taylor expansion of 2 in n 0.957 * [backup-simplify]: Simplify 2 into 2 0.957 * [taylor]: Taking taylor expansion of (* n PI) in n 0.957 * [taylor]: Taking taylor expansion of n in n 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [taylor]: Taking taylor expansion of PI in n 0.957 * [backup-simplify]: Simplify PI into PI 0.958 * [backup-simplify]: Simplify (* 0 PI) into 0 0.958 * [backup-simplify]: Simplify (* 2 0) into 0 0.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.961 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.962 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.962 * [backup-simplify]: Simplify (- k) into (- k) 0.962 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.962 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.964 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.965 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.966 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.966 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.966 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.966 * [taylor]: Taking taylor expansion of k in n 0.966 * [backup-simplify]: Simplify k into k 0.966 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.966 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.968 * [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))) 0.968 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.968 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.968 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.968 * [taylor]: Taking taylor expansion of 1/2 in k 0.968 * [backup-simplify]: Simplify 1/2 into 1/2 0.968 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.968 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.968 * [taylor]: Taking taylor expansion of 1 in k 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [taylor]: Taking taylor expansion of k in k 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.968 * [taylor]: Taking taylor expansion of (log n) in k 0.968 * [taylor]: Taking taylor expansion of n in k 0.968 * [backup-simplify]: Simplify n into n 0.968 * [backup-simplify]: Simplify (log n) into (log n) 0.968 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.968 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.969 * [taylor]: Taking taylor expansion of 2 in k 0.969 * [backup-simplify]: Simplify 2 into 2 0.969 * [taylor]: Taking taylor expansion of PI in k 0.969 * [backup-simplify]: Simplify PI into PI 0.969 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.970 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ 1 0) into 1 0.972 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.973 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.974 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.975 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.975 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.975 * [taylor]: Taking taylor expansion of k in k 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [backup-simplify]: Simplify (sqrt 0) into 0 0.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.978 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.983 * [backup-simplify]: Simplify (- 0) into 0 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.985 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.986 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.988 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in k 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.991 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.993 * [backup-simplify]: Simplify (- 1) into -1 0.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.997 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.004 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.005 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.006 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.012 * [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 1.013 * [backup-simplify]: Simplify (- 0) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.017 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.020 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1.021 * [taylor]: Taking taylor expansion of 0 in k 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.037 * [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 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (- 0) into 0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.046 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1.055 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.059 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.070 * [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 1.070 * [backup-simplify]: Simplify (- 0) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.074 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.076 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.078 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.080 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.080 * [taylor]: Taking taylor expansion of 0 in k 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.084 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.089 * [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 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.096 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.106 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.115 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.133 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.134 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.134 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.134 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.134 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.134 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.134 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.134 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.134 * [taylor]: Taking taylor expansion of 1/2 in k 1.134 * [backup-simplify]: Simplify 1/2 into 1/2 1.134 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.134 * [taylor]: Taking taylor expansion of 1 in k 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.134 * [taylor]: Taking taylor expansion of k in k 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.135 * [backup-simplify]: Simplify (/ 1 1) into 1 1.135 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.135 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.135 * [taylor]: Taking taylor expansion of 2 in k 1.135 * [backup-simplify]: Simplify 2 into 2 1.135 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.135 * [taylor]: Taking taylor expansion of PI in k 1.135 * [backup-simplify]: Simplify PI into PI 1.135 * [taylor]: Taking taylor expansion of n in k 1.135 * [backup-simplify]: Simplify n into n 1.135 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.135 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.135 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.135 * [backup-simplify]: Simplify (- 1) into -1 1.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.136 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.136 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.137 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.137 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.137 * [taylor]: Taking taylor expansion of k in k 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (sqrt 0) into 0 1.139 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.139 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.139 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.139 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.139 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.139 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.139 * [taylor]: Taking taylor expansion of 1/2 in n 1.139 * [backup-simplify]: Simplify 1/2 into 1/2 1.139 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.139 * [taylor]: Taking taylor expansion of 1 in n 1.139 * [backup-simplify]: Simplify 1 into 1 1.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.139 * [taylor]: Taking taylor expansion of k in n 1.139 * [backup-simplify]: Simplify k into k 1.139 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.139 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.139 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.139 * [taylor]: Taking taylor expansion of 2 in n 1.139 * [backup-simplify]: Simplify 2 into 2 1.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.139 * [taylor]: Taking taylor expansion of PI in n 1.139 * [backup-simplify]: Simplify PI into PI 1.139 * [taylor]: Taking taylor expansion of n in n 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ PI 1) into PI 1.140 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.141 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.141 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.141 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.141 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.144 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.145 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.145 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.145 * [taylor]: Taking taylor expansion of k in n 1.145 * [backup-simplify]: Simplify k into k 1.145 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.145 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.145 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.145 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.145 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.145 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.145 * [taylor]: Taking taylor expansion of 1/2 in n 1.146 * [backup-simplify]: Simplify 1/2 into 1/2 1.146 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.146 * [taylor]: Taking taylor expansion of 1 in n 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.146 * [taylor]: Taking taylor expansion of k in n 1.146 * [backup-simplify]: Simplify k into k 1.146 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.146 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.146 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.146 * [taylor]: Taking taylor expansion of 2 in n 1.146 * [backup-simplify]: Simplify 2 into 2 1.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.146 * [taylor]: Taking taylor expansion of PI in n 1.146 * [backup-simplify]: Simplify PI into PI 1.146 * [taylor]: Taking taylor expansion of n in n 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (/ PI 1) into PI 1.152 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.153 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.153 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.153 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.153 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.156 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.157 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.157 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.157 * [taylor]: Taking taylor expansion of k in n 1.157 * [backup-simplify]: Simplify k into k 1.157 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.159 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.159 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.159 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.159 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.159 * [taylor]: Taking taylor expansion of 1/2 in k 1.159 * [backup-simplify]: Simplify 1/2 into 1/2 1.159 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.159 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.159 * [taylor]: Taking taylor expansion of 1 in k 1.159 * [backup-simplify]: Simplify 1 into 1 1.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.159 * [taylor]: Taking taylor expansion of k in k 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (/ 1 1) into 1 1.159 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.159 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.160 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.160 * [taylor]: Taking taylor expansion of 2 in k 1.160 * [backup-simplify]: Simplify 2 into 2 1.160 * [taylor]: Taking taylor expansion of PI in k 1.160 * [backup-simplify]: Simplify PI into PI 1.160 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.161 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.161 * [taylor]: Taking taylor expansion of (log n) in k 1.161 * [taylor]: Taking taylor expansion of n in k 1.161 * [backup-simplify]: Simplify n into n 1.161 * [backup-simplify]: Simplify (log n) into (log n) 1.162 * [backup-simplify]: Simplify (- 1) into -1 1.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.162 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.163 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.164 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.165 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.167 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.167 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.167 * [taylor]: Taking taylor expansion of k in k 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [backup-simplify]: Simplify (sqrt 0) into 0 1.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.170 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.170 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.176 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.178 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.180 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.181 * [taylor]: Taking taylor expansion of 0 in k 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.184 * [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))))))) 1.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.190 * [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 1.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.196 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.198 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.200 * [taylor]: Taking taylor expansion of 0 in k 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.205 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.206 * [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))))))) 1.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.215 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.221 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.223 * [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 1.225 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.225 * [taylor]: Taking taylor expansion of 0 in k 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.231 * [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))))))) 1.233 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.237 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 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)))))))) 1.238 * [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))) 1.238 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.238 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.238 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.238 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.238 * [taylor]: Taking taylor expansion of 1/2 in k 1.238 * [backup-simplify]: Simplify 1/2 into 1/2 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.238 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.238 * [taylor]: Taking taylor expansion of k in k 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [taylor]: Taking taylor expansion of 1 in k 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.238 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.238 * [taylor]: Taking taylor expansion of -2 in k 1.239 * [backup-simplify]: Simplify -2 into -2 1.239 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.239 * [taylor]: Taking taylor expansion of PI in k 1.239 * [backup-simplify]: Simplify PI into PI 1.239 * [taylor]: Taking taylor expansion of n in k 1.239 * [backup-simplify]: Simplify n into n 1.239 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.239 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.239 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.239 * [backup-simplify]: Simplify (+ 1 0) into 1 1.240 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.240 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.240 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.240 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.240 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.240 * [taylor]: Taking taylor expansion of -1 in k 1.240 * [backup-simplify]: Simplify -1 into -1 1.240 * [taylor]: Taking taylor expansion of k in k 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ -1 1) into -1 1.241 * [backup-simplify]: Simplify (sqrt 0) into 0 1.243 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.243 * [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))))) 1.243 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.243 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.243 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.243 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.243 * [taylor]: Taking taylor expansion of 1/2 in n 1.243 * [backup-simplify]: Simplify 1/2 into 1/2 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.243 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.243 * [taylor]: Taking taylor expansion of k in n 1.243 * [backup-simplify]: Simplify k into k 1.243 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.243 * [taylor]: Taking taylor expansion of 1 in n 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.243 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.243 * [taylor]: Taking taylor expansion of -2 in n 1.243 * [backup-simplify]: Simplify -2 into -2 1.243 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.243 * [taylor]: Taking taylor expansion of PI in n 1.243 * [backup-simplify]: Simplify PI into PI 1.243 * [taylor]: Taking taylor expansion of n in n 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ PI 1) into PI 1.244 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.245 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.246 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.246 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.248 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.249 * [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))))) 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.249 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.249 * [taylor]: Taking taylor expansion of -1 in n 1.249 * [backup-simplify]: Simplify -1 into -1 1.249 * [taylor]: Taking taylor expansion of k in n 1.249 * [backup-simplify]: Simplify k into k 1.249 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.249 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.250 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.251 * [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))) 1.251 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.251 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.251 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.251 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.251 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.251 * [taylor]: Taking taylor expansion of 1/2 in n 1.251 * [backup-simplify]: Simplify 1/2 into 1/2 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.251 * [taylor]: Taking taylor expansion of k in n 1.251 * [backup-simplify]: Simplify k into k 1.251 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.251 * [taylor]: Taking taylor expansion of 1 in n 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.251 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.251 * [taylor]: Taking taylor expansion of -2 in n 1.251 * [backup-simplify]: Simplify -2 into -2 1.251 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.251 * [taylor]: Taking taylor expansion of PI in n 1.251 * [backup-simplify]: Simplify PI into PI 1.252 * [taylor]: Taking taylor expansion of n in n 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (/ PI 1) into PI 1.252 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.253 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.254 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.254 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.255 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.256 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.257 * [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))))) 1.257 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.257 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.257 * [taylor]: Taking taylor expansion of -1 in n 1.257 * [backup-simplify]: Simplify -1 into -1 1.257 * [taylor]: Taking taylor expansion of k in n 1.257 * [backup-simplify]: Simplify k into k 1.257 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.258 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.258 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.259 * [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))) 1.259 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.259 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.259 * [taylor]: Taking taylor expansion of 1/2 in k 1.259 * [backup-simplify]: Simplify 1/2 into 1/2 1.259 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.259 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.259 * [taylor]: Taking taylor expansion of k in k 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (/ 1 1) into 1 1.260 * [taylor]: Taking taylor expansion of 1 in k 1.260 * [backup-simplify]: Simplify 1 into 1 1.260 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.260 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.260 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.260 * [taylor]: Taking taylor expansion of -2 in k 1.260 * [backup-simplify]: Simplify -2 into -2 1.260 * [taylor]: Taking taylor expansion of PI in k 1.260 * [backup-simplify]: Simplify PI into PI 1.261 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.262 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.262 * [taylor]: Taking taylor expansion of (log n) in k 1.262 * [taylor]: Taking taylor expansion of n in k 1.262 * [backup-simplify]: Simplify n into n 1.262 * [backup-simplify]: Simplify (log n) into (log n) 1.262 * [backup-simplify]: Simplify (+ 1 0) into 1 1.262 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.263 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.264 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.265 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.267 * [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))))) 1.267 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.267 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.267 * [taylor]: Taking taylor expansion of -1 in k 1.267 * [backup-simplify]: Simplify -1 into -1 1.267 * [taylor]: Taking taylor expansion of k in k 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (/ -1 1) into -1 1.268 * [backup-simplify]: Simplify (sqrt 0) into 0 1.269 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.270 * [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)))))) 1.271 * [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)))))) 1.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.278 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.280 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.282 * [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 1.282 * [taylor]: Taking taylor expansion of 0 in k 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.288 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.289 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.296 * [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 1.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.299 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.300 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.300 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.301 * [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 1.301 * [taylor]: Taking taylor expansion of 0 in k 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.307 * [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))))))) 1.307 * [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))))))) 1.310 * [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)))))))))))) 1.310 * * * [progress]: simplifying candidates 1.310 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.310 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1.310 * * [simplify]: iters left: 6 (11 enodes) 1.313 * * [simplify]: iters left: 5 (48 enodes) 1.324 * * [simplify]: iters left: 4 (77 enodes) 1.348 * * [simplify]: iters left: 3 (120 enodes) 1.371 * * [simplify]: iters left: 2 (218 enodes) 1.436 * * [simplify]: iters left: 1 (394 enodes) 1.624 * * [simplify]: Extracting #0: cost 1 inf + 0 1.625 * * [simplify]: Extracting #1: cost 3 inf + 0 1.625 * * [simplify]: Extracting #2: cost 30 inf + 0 1.625 * * [simplify]: Extracting #3: cost 110 inf + 1 1.627 * * [simplify]: Extracting #4: cost 180 inf + 176 1.628 * * [simplify]: Extracting #5: cost 171 inf + 1097 1.633 * * [simplify]: Extracting #6: cost 98 inf + 12491 1.643 * * [simplify]: Extracting #7: cost 30 inf + 42005 1.656 * * [simplify]: Extracting #8: cost 0 inf + 66187 1.677 * * [simplify]: Extracting #9: cost 0 inf + 64500 1.707 * * [simplify]: Extracting #10: cost 0 inf + 63753 1.725 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1.725 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log1p (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 1.726 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.726 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1.726 * * [simplify]: iters left: 6 (11 enodes) 1.729 * * [simplify]: iters left: 5 (48 enodes) 1.746 * * [simplify]: iters left: 4 (77 enodes) 1.771 * * [simplify]: iters left: 3 (120 enodes) 1.800 * * [simplify]: iters left: 2 (218 enodes) 1.879 * * [simplify]: iters left: 1 (394 enodes) 2.029 * * [simplify]: Extracting #0: cost 1 inf + 0 2.030 * * [simplify]: Extracting #1: cost 3 inf + 0 2.030 * * [simplify]: Extracting #2: cost 30 inf + 0 2.030 * * [simplify]: Extracting #3: cost 110 inf + 1 2.031 * * [simplify]: Extracting #4: cost 180 inf + 176 2.032 * * [simplify]: Extracting #5: cost 171 inf + 1097 2.034 * * [simplify]: Extracting #6: cost 98 inf + 12531 2.045 * * [simplify]: Extracting #7: cost 30 inf + 42045 2.067 * * [simplify]: Extracting #8: cost 0 inf + 66227 2.095 * * [simplify]: Extracting #9: cost 0 inf + 64540 2.123 * * [simplify]: Extracting #10: cost 0 inf + 63793 2.138 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 2.138 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (expm1 (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 2.138 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 2.139 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 2.139 * * [simplify]: iters left: 6 (13 enodes) 2.143 * * [simplify]: iters left: 5 (54 enodes) 2.152 * * [simplify]: iters left: 4 (97 enodes) 2.193 * * [simplify]: iters left: 3 (252 enodes) 2.285 * * [simplify]: Extracting #0: cost 1 inf + 0 2.285 * * [simplify]: Extracting #1: cost 38 inf + 0 2.285 * * [simplify]: Extracting #2: cost 133 inf + 73 2.287 * * [simplify]: Extracting #3: cost 162 inf + 1645 2.293 * * [simplify]: Extracting #4: cost 64 inf + 21597 2.308 * * [simplify]: Extracting #5: cost 2 inf + 40621 2.325 * * [simplify]: Extracting #6: cost 0 inf + 41489 2.341 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 2.341 * [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))) 2.341 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 2.341 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 2.342 * * [simplify]: iters left: 6 (12 enodes) 2.349 * * [simplify]: iters left: 5 (52 enodes) 2.368 * * [simplify]: iters left: 4 (90 enodes) 2.404 * * [simplify]: iters left: 3 (209 enodes) 2.499 * * [simplify]: Extracting #0: cost 1 inf + 0 2.499 * * [simplify]: Extracting #1: cost 33 inf + 0 2.499 * * [simplify]: Extracting #2: cost 117 inf + 73 2.501 * * [simplify]: Extracting #3: cost 141 inf + 1307 2.505 * * [simplify]: Extracting #4: cost 79 inf + 11364 2.513 * * [simplify]: Extracting #5: cost 30 inf + 22914 2.526 * * [simplify]: Extracting #6: cost 0 inf + 32222 2.539 * * [simplify]: Extracting #7: cost 0 inf + 32142 2.551 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 2.552 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 2.552 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 2.552 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 2.552 * * [simplify]: iters left: 6 (11 enodes) 2.559 * * [simplify]: iters left: 5 (51 enodes) 2.577 * * [simplify]: iters left: 4 (97 enodes) 2.612 * * [simplify]: iters left: 3 (203 enodes) 2.693 * * [simplify]: Extracting #0: cost 1 inf + 0 2.694 * * [simplify]: Extracting #1: cost 35 inf + 0 2.694 * * [simplify]: Extracting #2: cost 119 inf + 2 2.695 * * [simplify]: Extracting #3: cost 150 inf + 702 2.698 * * [simplify]: Extracting #4: cost 96 inf + 7237 2.705 * * [simplify]: Extracting #5: cost 29 inf + 21171 2.716 * * [simplify]: Extracting #6: cost 6 inf + 26771 2.728 * * [simplify]: Extracting #7: cost 0 inf + 28612 2.744 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.744 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.744 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 2.745 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 2.745 * * [simplify]: iters left: 6 (11 enodes) 2.752 * * [simplify]: iters left: 5 (51 enodes) 2.769 * * [simplify]: iters left: 4 (97 enodes) 2.804 * * [simplify]: iters left: 3 (203 enodes) 2.884 * * [simplify]: Extracting #0: cost 1 inf + 0 2.884 * * [simplify]: Extracting #1: cost 35 inf + 0 2.884 * * [simplify]: Extracting #2: cost 119 inf + 2 2.886 * * [simplify]: Extracting #3: cost 150 inf + 702 2.888 * * [simplify]: Extracting #4: cost 96 inf + 7237 2.895 * * [simplify]: Extracting #5: cost 29 inf + 21171 2.906 * * [simplify]: Extracting #6: cost 6 inf + 26771 2.917 * * [simplify]: Extracting #7: cost 0 inf + 28612 2.929 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.929 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.930 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 2.930 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.930 * * [simplify]: iters left: 6 (6 enodes) 2.935 * * [simplify]: iters left: 5 (27 enodes) 2.946 * * [simplify]: iters left: 4 (47 enodes) 2.960 * * [simplify]: iters left: 3 (59 enodes) 2.969 * * [simplify]: iters left: 2 (79 enodes) 2.985 * * [simplify]: iters left: 1 (108 enodes) 3.008 * * [simplify]: Extracting #0: cost 1 inf + 0 3.008 * * [simplify]: Extracting #1: cost 10 inf + 0 3.008 * * [simplify]: Extracting #2: cost 19 inf + 3 3.008 * * [simplify]: Extracting #3: cost 15 inf + 131 3.008 * * [simplify]: Extracting #4: cost 1 inf + 1004 3.009 * * [simplify]: Extracting #5: cost 0 inf + 1086 3.009 * [simplify]: Simplified to (* 1/2 (- 1 k)) 3.009 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 3.009 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 3.009 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 3.010 * * [simplify]: iters left: 6 (6 enodes) 3.012 * * [simplify]: iters left: 5 (27 enodes) 3.017 * * [simplify]: iters left: 4 (47 enodes) 3.025 * * [simplify]: iters left: 3 (59 enodes) 3.039 * * [simplify]: iters left: 2 (79 enodes) 3.063 * * [simplify]: iters left: 1 (108 enodes) 3.079 * * [simplify]: Extracting #0: cost 1 inf + 0 3.079 * * [simplify]: Extracting #1: cost 10 inf + 0 3.079 * * [simplify]: Extracting #2: cost 19 inf + 3 3.079 * * [simplify]: Extracting #3: cost 15 inf + 131 3.080 * * [simplify]: Extracting #4: cost 1 inf + 1004 3.080 * * [simplify]: Extracting #5: cost 0 inf + 1086 3.081 * [simplify]: Simplified to (* 1/2 (- 1 k)) 3.081 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 3.081 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 3.081 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 3.081 * * [simplify]: iters left: 6 (6 enodes) 3.084 * * [simplify]: iters left: 5 (27 enodes) 3.095 * * [simplify]: iters left: 4 (47 enodes) 3.109 * * [simplify]: iters left: 3 (59 enodes) 3.118 * * [simplify]: iters left: 2 (79 enodes) 3.131 * * [simplify]: iters left: 1 (108 enodes) 3.154 * * [simplify]: Extracting #0: cost 1 inf + 0 3.154 * * [simplify]: Extracting #1: cost 10 inf + 0 3.154 * * [simplify]: Extracting #2: cost 19 inf + 3 3.155 * * [simplify]: Extracting #3: cost 15 inf + 131 3.155 * * [simplify]: Extracting #4: cost 1 inf + 1004 3.156 * * [simplify]: Extracting #5: cost 0 inf + 1086 3.157 * [simplify]: Simplified to (* 1/2 (- 1 k)) 3.157 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 3.157 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 3.157 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 3.157 * * [simplify]: iters left: 5 (8 enodes) 3.163 * * [simplify]: iters left: 4 (35 enodes) 3.180 * * [simplify]: iters left: 3 (63 enodes) 3.204 * * [simplify]: iters left: 2 (108 enodes) 3.235 * * [simplify]: iters left: 1 (162 enodes) 3.287 * * [simplify]: Extracting #0: cost 1 inf + 0 3.287 * * [simplify]: Extracting #1: cost 14 inf + 0 3.288 * * [simplify]: Extracting #2: cost 44 inf + 2 3.288 * * [simplify]: Extracting #3: cost 39 inf + 94 3.289 * * [simplify]: Extracting #4: cost 24 inf + 2779 3.292 * * [simplify]: Extracting #5: cost 3 inf + 12838 3.295 * * [simplify]: Extracting #6: cost 0 inf + 14804 3.299 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 3.299 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k))) 3.299 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 3.300 * * [simplify]: iters left: 5 (8 enodes) 3.304 * * [simplify]: iters left: 4 (31 enodes) 3.314 * * [simplify]: iters left: 3 (51 enodes) 3.326 * * [simplify]: iters left: 2 (85 enodes) 3.340 * * [simplify]: iters left: 1 (152 enodes) 3.368 * * [simplify]: Extracting #0: cost 1 inf + 0 3.368 * * [simplify]: Extracting #1: cost 13 inf + 0 3.369 * * [simplify]: Extracting #2: cost 59 inf + 1 3.369 * * [simplify]: Extracting #3: cost 76 inf + 9 3.369 * * [simplify]: Extracting #4: cost 41 inf + 3303 3.371 * * [simplify]: Extracting #5: cost 16 inf + 10676 3.373 * * [simplify]: Extracting #6: cost 0 inf + 21028 3.377 * * [simplify]: Extracting #7: cost 0 inf + 20456 3.383 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 3.383 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 3.383 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 3.383 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 3.384 * * [simplify]: iters left: 6 (12 enodes) 3.390 * * [simplify]: iters left: 5 (51 enodes) 3.409 * * [simplify]: iters left: 4 (79 enodes) 3.434 * * [simplify]: iters left: 3 (118 enodes) 3.468 * * [simplify]: iters left: 2 (199 enodes) 3.548 * * [simplify]: iters left: 1 (360 enodes) 3.768 * * [simplify]: Extracting #0: cost 1 inf + 0 3.768 * * [simplify]: Extracting #1: cost 27 inf + 0 3.769 * * [simplify]: Extracting #2: cost 115 inf + 1 3.770 * * [simplify]: Extracting #3: cost 207 inf + 175 3.772 * * [simplify]: Extracting #4: cost 217 inf + 429 3.774 * * [simplify]: Extracting #5: cost 222 inf + 429 3.776 * * [simplify]: Extracting #6: cost 216 inf + 1004 3.784 * * [simplify]: Extracting #7: cost 107 inf + 27512 3.805 * * [simplify]: Extracting #8: cost 20 inf + 75005 3.825 * * [simplify]: Extracting #9: cost 0 inf + 91941 3.856 * * [simplify]: Extracting #10: cost 0 inf + 91455 3.879 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 3.879 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 3.879 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 3.879 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 3.879 * * [simplify]: iters left: 6 (11 enodes) 3.883 * * [simplify]: iters left: 5 (48 enodes) 3.891 * * [simplify]: iters left: 4 (74 enodes) 3.902 * * [simplify]: iters left: 3 (105 enodes) 3.922 * * [simplify]: iters left: 2 (161 enodes) 3.966 * * [simplify]: iters left: 1 (278 enodes) 4.130 * * [simplify]: Extracting #0: cost 1 inf + 0 4.130 * * [simplify]: Extracting #1: cost 29 inf + 0 4.130 * * [simplify]: Extracting #2: cost 105 inf + 1 4.131 * * [simplify]: Extracting #3: cost 135 inf + 174 4.132 * * [simplify]: Extracting #4: cost 134 inf + 388 4.132 * * [simplify]: Extracting #5: cost 131 inf + 556 4.134 * * [simplify]: Extracting #6: cost 91 inf + 9824 4.139 * * [simplify]: Extracting #7: cost 47 inf + 29501 4.151 * * [simplify]: Extracting #8: cost 4 inf + 67518 4.164 * * [simplify]: Extracting #9: cost 0 inf + 71195 4.177 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 4.177 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 4.177 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 4.177 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 4.177 * * [simplify]: iters left: 6 (14 enodes) 4.185 * * [simplify]: iters left: 5 (59 enodes) 4.195 * * [simplify]: iters left: 4 (104 enodes) 4.213 * * [simplify]: iters left: 3 (186 enodes) 4.253 * * [simplify]: iters left: 2 (434 enodes) 4.534 * * [simplify]: Extracting #0: cost 1 inf + 0 4.534 * * [simplify]: Extracting #1: cost 12 inf + 0 4.535 * * [simplify]: Extracting #2: cost 111 inf + 1 4.537 * * [simplify]: Extracting #3: cost 232 inf + 215 4.539 * * [simplify]: Extracting #4: cost 231 inf + 1718 4.545 * * [simplify]: Extracting #5: cost 169 inf + 16571 4.565 * * [simplify]: Extracting #6: cost 40 inf + 55999 4.592 * * [simplify]: Extracting #7: cost 18 inf + 67518 4.623 * * [simplify]: Extracting #8: cost 0 inf + 84772 4.659 * * [simplify]: Extracting #9: cost 0 inf + 84654 4.690 * * [simplify]: Extracting #10: cost 0 inf + 84576 4.722 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 4.722 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 4.722 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 4.723 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 4.723 * * [simplify]: iters left: 6 (13 enodes) 4.731 * * [simplify]: iters left: 5 (52 enodes) 4.748 * * [simplify]: iters left: 4 (82 enodes) 4.775 * * [simplify]: iters left: 3 (136 enodes) 4.826 * * [simplify]: iters left: 2 (272 enodes) 4.933 * * [simplify]: Extracting #0: cost 1 inf + 0 4.933 * * [simplify]: Extracting #1: cost 12 inf + 0 4.933 * * [simplify]: Extracting #2: cost 87 inf + 1 4.934 * * [simplify]: Extracting #3: cost 151 inf + 6 4.934 * * [simplify]: Extracting #4: cost 144 inf + 992 4.935 * * [simplify]: Extracting #5: cost 131 inf + 2339 4.938 * * [simplify]: Extracting #6: cost 59 inf + 21693 4.946 * * [simplify]: Extracting #7: cost 9 inf + 46808 4.960 * * [simplify]: Extracting #8: cost 0 inf + 55030 4.981 * * [simplify]: Extracting #9: cost 0 inf + 54610 4.999 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 5.000 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 5.000 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 5.000 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 5.000 * * [simplify]: iters left: 6 (12 enodes) 5.007 * * [simplify]: iters left: 5 (47 enodes) 5.026 * * [simplify]: iters left: 4 (83 enodes) 5.038 * * [simplify]: iters left: 3 (123 enodes) 5.060 * * [simplify]: iters left: 2 (221 enodes) 5.456 * * [simplify]: iters left: 1 (477 enodes) 5.823 * * [simplify]: Extracting #0: cost 1 inf + 0 5.824 * * [simplify]: Extracting #1: cost 35 inf + 0 5.824 * * [simplify]: Extracting #2: cost 138 inf + 1 5.825 * * [simplify]: Extracting #3: cost 228 inf + 136 5.826 * * [simplify]: Extracting #4: cost 229 inf + 431 5.828 * * [simplify]: Extracting #5: cost 217 inf + 2424 5.833 * * [simplify]: Extracting #6: cost 111 inf + 29660 5.849 * * [simplify]: Extracting #7: cost 11 inf + 91583 5.883 * * [simplify]: Extracting #8: cost 0 inf + 104455 5.901 * * [simplify]: Extracting #9: cost 0 inf + 104205 5.919 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 5.920 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 5.920 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 5.920 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 5.920 * * [simplify]: iters left: 6 (13 enodes) 5.924 * * [simplify]: iters left: 5 (52 enodes) 5.933 * * [simplify]: iters left: 4 (80 enodes) 5.949 * * [simplify]: iters left: 3 (128 enodes) 5.973 * * [simplify]: iters left: 2 (246 enodes) 6.046 * * [simplify]: iters left: 1 (493 enodes) 6.513 * * [simplify]: Extracting #0: cost 1 inf + 0 6.514 * * [simplify]: Extracting #1: cost 31 inf + 0 6.515 * * [simplify]: Extracting #2: cost 206 inf + 1 6.518 * * [simplify]: Extracting #3: cost 425 inf + 2480 6.524 * * [simplify]: Extracting #4: cost 372 inf + 13330 6.530 * * [simplify]: Extracting #5: cost 360 inf + 14710 6.551 * * [simplify]: Extracting #6: cost 162 inf + 63449 6.592 * * [simplify]: Extracting #7: cost 30 inf + 126334 6.646 * * [simplify]: Extracting #8: cost 1 inf + 157531 6.679 * * [simplify]: Extracting #9: cost 0 inf + 158689 6.731 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 6.731 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 6.732 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 6.732 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 6.732 * * [simplify]: iters left: 6 (12 enodes) 6.739 * * [simplify]: iters left: 5 (47 enodes) 6.754 * * [simplify]: iters left: 4 (71 enodes) 6.776 * * [simplify]: iters left: 3 (109 enodes) 6.814 * * [simplify]: iters left: 2 (192 enodes) 6.887 * * [simplify]: iters left: 1 (370 enodes) 7.124 * * [simplify]: Extracting #0: cost 1 inf + 0 7.124 * * [simplify]: Extracting #1: cost 29 inf + 0 7.124 * * [simplify]: Extracting #2: cost 139 inf + 1 7.125 * * [simplify]: Extracting #3: cost 266 inf + 174 7.127 * * [simplify]: Extracting #4: cost 252 inf + 1981 7.128 * * [simplify]: Extracting #5: cost 219 inf + 5566 7.130 * * [simplify]: Extracting #6: cost 214 inf + 6097 7.135 * * [simplify]: Extracting #7: cost 116 inf + 28010 7.148 * * [simplify]: Extracting #8: cost 19 inf + 79263 7.172 * * [simplify]: Extracting #9: cost 0 inf + 97892 7.189 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 7.189 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 7.189 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 7.189 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 7.189 * * [simplify]: iters left: 6 (11 enodes) 7.192 * * [simplify]: iters left: 5 (42 enodes) 7.199 * * [simplify]: iters left: 4 (64 enodes) 7.209 * * [simplify]: iters left: 3 (98 enodes) 7.225 * * [simplify]: iters left: 2 (156 enodes) 7.264 * * [simplify]: iters left: 1 (280 enodes) 7.351 * * [simplify]: Extracting #0: cost 1 inf + 0 7.352 * * [simplify]: Extracting #1: cost 30 inf + 0 7.352 * * [simplify]: Extracting #2: cost 111 inf + 1 7.353 * * [simplify]: Extracting #3: cost 134 inf + 133 7.353 * * [simplify]: Extracting #4: cost 129 inf + 429 7.354 * * [simplify]: Extracting #5: cost 117 inf + 1953 7.357 * * [simplify]: Extracting #6: cost 58 inf + 26132 7.375 * * [simplify]: Extracting #7: cost 8 inf + 66348 7.396 * * [simplify]: Extracting #8: cost 0 inf + 71787 7.421 * * [simplify]: Extracting #9: cost 0 inf + 71708 7.442 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 7.442 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 7.442 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 7.442 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 7.442 * * [simplify]: iters left: 6 (10 enodes) 7.449 * * [simplify]: iters left: 5 (41 enodes) 7.463 * * [simplify]: iters left: 4 (66 enodes) 7.487 * * [simplify]: iters left: 3 (116 enodes) 7.530 * * [simplify]: iters left: 2 (219 enodes) 7.609 * * [simplify]: Extracting #0: cost 1 inf + 0 7.609 * * [simplify]: Extracting #1: cost 12 inf + 0 7.609 * * [simplify]: Extracting #2: cost 69 inf + 1 7.610 * * [simplify]: Extracting #3: cost 115 inf + 6 7.610 * * [simplify]: Extracting #4: cost 104 inf + 1247 7.612 * * [simplify]: Extracting #5: cost 56 inf + 11061 7.620 * * [simplify]: Extracting #6: cost 4 inf + 34062 7.632 * * [simplify]: Extracting #7: cost 0 inf + 35882 7.643 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 7.643 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 7.643 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 7.644 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 7.644 * * [simplify]: iters left: 5 (9 enodes) 7.649 * * [simplify]: iters left: 4 (36 enodes) 7.665 * * [simplify]: iters left: 3 (57 enodes) 7.684 * * [simplify]: iters left: 2 (96 enodes) 7.720 * * [simplify]: iters left: 1 (171 enodes) 7.795 * * [simplify]: Extracting #0: cost 1 inf + 0 7.795 * * [simplify]: Extracting #1: cost 12 inf + 0 7.798 * * [simplify]: Extracting #2: cost 50 inf + 1 7.799 * * [simplify]: Extracting #3: cost 75 inf + 6 7.800 * * [simplify]: Extracting #4: cost 59 inf + 1253 7.803 * * [simplify]: Extracting #5: cost 25 inf + 8058 7.808 * * [simplify]: Extracting #6: cost 3 inf + 20149 7.815 * * [simplify]: Extracting #7: cost 0 inf + 22178 7.822 * * [simplify]: Extracting #8: cost 0 inf + 22007 7.830 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 7.830 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 7.830 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 7.830 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 7.830 * * [simplify]: iters left: 5 (8 enodes) 7.836 * * [simplify]: iters left: 4 (34 enodes) 7.850 * * [simplify]: iters left: 3 (64 enodes) 7.873 * * [simplify]: iters left: 2 (105 enodes) 7.907 * * [simplify]: iters left: 1 (177 enodes) 7.962 * * [simplify]: Extracting #0: cost 1 inf + 0 7.962 * * [simplify]: Extracting #1: cost 17 inf + 0 7.962 * * [simplify]: Extracting #2: cost 34 inf + 46 7.963 * * [simplify]: Extracting #3: cost 26 inf + 466 7.964 * * [simplify]: Extracting #4: cost 11 inf + 6543 7.967 * * [simplify]: Extracting #5: cost 1 inf + 10885 7.970 * * [simplify]: Extracting #6: cost 0 inf + 11179 7.973 * [simplify]: Simplified to (* (* PI 2) n) 7.973 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 7.973 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 7.973 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 7.973 * * [simplify]: iters left: 6 (14 enodes) 7.982 * * [simplify]: iters left: 5 (54 enodes) 7.999 * * [simplify]: iters left: 4 (79 enodes) 8.023 * * [simplify]: iters left: 3 (128 enodes) 8.049 * * [simplify]: iters left: 2 (254 enodes) 8.154 * * [simplify]: Extracting #0: cost 1 inf + 0 8.154 * * [simplify]: Extracting #1: cost 12 inf + 0 8.154 * * [simplify]: Extracting #2: cost 76 inf + 1 8.155 * * [simplify]: Extracting #3: cost 137 inf + 48 8.157 * * [simplify]: Extracting #4: cost 116 inf + 3375 8.159 * * [simplify]: Extracting #5: cost 98 inf + 5725 8.163 * * [simplify]: Extracting #6: cost 52 inf + 17838 8.171 * * [simplify]: Extracting #7: cost 11 inf + 39025 8.179 * * [simplify]: Extracting #8: cost 0 inf + 49393 8.187 * * [simplify]: Extracting #9: cost 0 inf + 49155 8.200 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 8.200 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k))) 8.200 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 8.201 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 8.201 * * [simplify]: iters left: 6 (13 enodes) 8.209 * * [simplify]: iters left: 5 (49 enodes) 8.225 * * [simplify]: iters left: 4 (70 enodes) 8.243 * * [simplify]: iters left: 3 (109 enodes) 8.263 * * [simplify]: iters left: 2 (197 enodes) 8.319 * * [simplify]: iters left: 1 (372 enodes) 8.508 * * [simplify]: Extracting #0: cost 1 inf + 0 8.508 * * [simplify]: Extracting #1: cost 28 inf + 0 8.509 * * [simplify]: Extracting #2: cost 152 inf + 1 8.511 * * [simplify]: Extracting #3: cost 247 inf + 259 8.513 * * [simplify]: Extracting #4: cost 244 inf + 1120 8.517 * * [simplify]: Extracting #5: cost 183 inf + 9127 8.534 * * [simplify]: Extracting #6: cost 74 inf + 36664 8.557 * * [simplify]: Extracting #7: cost 11 inf + 84127 8.574 * * [simplify]: Extracting #8: cost 0 inf + 93949 8.602 * * [simplify]: Extracting #9: cost 0 inf + 93818 8.634 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 8.634 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k))) 8.635 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 8.635 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 8.635 * * [simplify]: iters left: 6 (12 enodes) 8.643 * * [simplify]: iters left: 5 (44 enodes) 8.657 * * [simplify]: iters left: 4 (63 enodes) 8.678 * * [simplify]: iters left: 3 (96 enodes) 8.694 * * [simplify]: iters left: 2 (161 enodes) 8.744 * * [simplify]: iters left: 1 (290 enodes) 8.860 * * [simplify]: Extracting #0: cost 1 inf + 0 8.860 * * [simplify]: Extracting #1: cost 27 inf + 0 8.864 * * [simplify]: Extracting #2: cost 97 inf + 1 8.865 * * [simplify]: Extracting #3: cost 133 inf + 215 8.866 * * [simplify]: Extracting #4: cost 124 inf + 747 8.870 * * [simplify]: Extracting #5: cost 77 inf + 10175 8.875 * * [simplify]: Extracting #6: cost 23 inf + 42776 8.884 * * [simplify]: Extracting #7: cost 0 inf + 64326 8.893 * * [simplify]: Extracting #8: cost 0 inf + 64006 8.902 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 8.902 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k))) 8.902 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 8.902 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 8.903 * * [simplify]: iters left: 6 (13 enodes) 8.910 * * [simplify]: iters left: 5 (51 enodes) 8.926 * * [simplify]: iters left: 4 (76 enodes) 8.945 * * [simplify]: iters left: 3 (124 enodes) 8.974 * * [simplify]: iters left: 2 (250 enodes) 9.057 * * [simplify]: Extracting #0: cost 1 inf + 0 9.058 * * [simplify]: Extracting #1: cost 13 inf + 0 9.058 * * [simplify]: Extracting #2: cost 76 inf + 1 9.059 * * [simplify]: Extracting #3: cost 136 inf + 209 9.060 * * [simplify]: Extracting #4: cost 119 inf + 3091 9.063 * * [simplify]: Extracting #5: cost 99 inf + 5805 9.071 * * [simplify]: Extracting #6: cost 54 inf + 16793 9.083 * * [simplify]: Extracting #7: cost 8 inf + 41109 9.094 * * [simplify]: Extracting #8: cost 0 inf + 48689 9.101 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 9.101 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 9.102 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 9.102 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 9.102 * * [simplify]: iters left: 6 (12 enodes) 9.105 * * [simplify]: iters left: 5 (46 enodes) 9.113 * * [simplify]: iters left: 4 (67 enodes) 9.129 * * [simplify]: iters left: 3 (106 enodes) 9.162 * * [simplify]: iters left: 2 (197 enodes) 9.211 * * [simplify]: iters left: 1 (376 enodes) 9.438 * * [simplify]: Extracting #0: cost 1 inf + 0 9.439 * * [simplify]: Extracting #1: cost 30 inf + 0 9.439 * * [simplify]: Extracting #2: cost 148 inf + 1 9.441 * * [simplify]: Extracting #3: cost 256 inf + 341 9.443 * * [simplify]: Extracting #4: cost 235 inf + 3076 9.449 * * [simplify]: Extracting #5: cost 217 inf + 4830 9.453 * * [simplify]: Extracting #6: cost 116 inf + 26595 9.467 * * [simplify]: Extracting #7: cost 17 inf + 84107 9.495 * * [simplify]: Extracting #8: cost 0 inf + 101004 9.512 * * [simplify]: Extracting #9: cost 0 inf + 100884 9.537 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 9.537 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 9.537 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 9.538 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 9.538 * * [simplify]: iters left: 6 (11 enodes) 9.544 * * [simplify]: iters left: 5 (41 enodes) 9.556 * * [simplify]: iters left: 4 (60 enodes) 9.567 * * [simplify]: iters left: 3 (94 enodes) 9.584 * * [simplify]: iters left: 2 (156 enodes) 9.637 * * [simplify]: iters left: 1 (287 enodes) 9.768 * * [simplify]: Extracting #0: cost 1 inf + 0 9.768 * * [simplify]: Extracting #1: cost 29 inf + 0 9.769 * * [simplify]: Extracting #2: cost 101 inf + 1 9.770 * * [simplify]: Extracting #3: cost 132 inf + 216 9.771 * * [simplify]: Extracting #4: cost 124 inf + 674 9.775 * * [simplify]: Extracting #5: cost 69 inf + 12965 9.789 * * [simplify]: Extracting #6: cost 8 inf + 57194 9.808 * * [simplify]: Extracting #7: cost 0 inf + 65282 9.828 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 9.828 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 9.828 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 9.829 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 9.829 * * [simplify]: iters left: 6 (10 enodes) 9.835 * * [simplify]: iters left: 5 (41 enodes) 9.848 * * [simplify]: iters left: 4 (66 enodes) 9.872 * * [simplify]: iters left: 3 (116 enodes) 9.918 * * [simplify]: iters left: 2 (219 enodes) 10.004 * * [simplify]: Extracting #0: cost 1 inf + 0 10.004 * * [simplify]: Extracting #1: cost 12 inf + 0 10.004 * * [simplify]: Extracting #2: cost 69 inf + 1 10.005 * * [simplify]: Extracting #3: cost 115 inf + 6 10.005 * * [simplify]: Extracting #4: cost 104 inf + 1247 10.007 * * [simplify]: Extracting #5: cost 56 inf + 11061 10.012 * * [simplify]: Extracting #6: cost 4 inf + 34062 10.018 * * [simplify]: Extracting #7: cost 0 inf + 35882 10.024 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 10.024 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 10.024 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 10.024 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 10.024 * * [simplify]: iters left: 5 (9 enodes) 10.028 * * [simplify]: iters left: 4 (36 enodes) 10.040 * * [simplify]: iters left: 3 (57 enodes) 10.061 * * [simplify]: iters left: 2 (96 enodes) 10.097 * * [simplify]: iters left: 1 (171 enodes) 10.149 * * [simplify]: Extracting #0: cost 1 inf + 0 10.149 * * [simplify]: Extracting #1: cost 12 inf + 0 10.149 * * [simplify]: Extracting #2: cost 50 inf + 1 10.149 * * [simplify]: Extracting #3: cost 75 inf + 6 10.150 * * [simplify]: Extracting #4: cost 59 inf + 1253 10.151 * * [simplify]: Extracting #5: cost 25 inf + 8058 10.154 * * [simplify]: Extracting #6: cost 3 inf + 20149 10.157 * * [simplify]: Extracting #7: cost 0 inf + 22178 10.164 * * [simplify]: Extracting #8: cost 0 inf + 22007 10.171 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 10.171 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 10.172 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 10.172 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 10.172 * * [simplify]: iters left: 5 (8 enodes) 10.177 * * [simplify]: iters left: 4 (34 enodes) 10.187 * * [simplify]: iters left: 3 (64 enodes) 10.203 * * [simplify]: iters left: 2 (105 enodes) 10.229 * * [simplify]: iters left: 1 (177 enodes) 10.270 * * [simplify]: Extracting #0: cost 1 inf + 0 10.270 * * [simplify]: Extracting #1: cost 17 inf + 0 10.271 * * [simplify]: Extracting #2: cost 34 inf + 46 10.271 * * [simplify]: Extracting #3: cost 26 inf + 466 10.272 * * [simplify]: Extracting #4: cost 11 inf + 6543 10.275 * * [simplify]: Extracting #5: cost 1 inf + 10885 10.278 * * [simplify]: Extracting #6: cost 0 inf + 11179 10.281 * [simplify]: Simplified to (* (* PI 2) n) 10.281 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 10.281 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 10.281 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 10.282 * * [simplify]: iters left: 5 (7 enodes) 10.286 * * [simplify]: iters left: 4 (30 enodes) 10.300 * * [simplify]: iters left: 3 (58 enodes) 10.326 * * [simplify]: iters left: 2 (99 enodes) 10.361 * * [simplify]: iters left: 1 (171 enodes) 10.408 * * [simplify]: Extracting #0: cost 1 inf + 0 10.408 * * [simplify]: Extracting #1: cost 18 inf + 0 10.408 * * [simplify]: Extracting #2: cost 35 inf + 46 10.409 * * [simplify]: Extracting #3: cost 25 inf + 1347 10.409 * * [simplify]: Extracting #4: cost 14 inf + 5442 10.410 * * [simplify]: Extracting #5: cost 7 inf + 7909 10.412 * * [simplify]: Extracting #6: cost 0 inf + 11764 10.413 * [simplify]: Simplified to (* (* PI 2) n) 10.413 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 10.413 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 10.414 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 10.414 * * [simplify]: iters left: 5 (9 enodes) 10.419 * * [simplify]: iters left: 4 (38 enodes) 10.432 * * [simplify]: iters left: 3 (64 enodes) 10.452 * * [simplify]: iters left: 2 (102 enodes) 10.484 * * [simplify]: iters left: 1 (175 enodes) 10.517 * * [simplify]: Extracting #0: cost 1 inf + 0 10.517 * * [simplify]: Extracting #1: cost 13 inf + 0 10.517 * * [simplify]: Extracting #2: cost 60 inf + 1 10.517 * * [simplify]: Extracting #3: cost 84 inf + 132 10.518 * * [simplify]: Extracting #4: cost 51 inf + 3728 10.520 * * [simplify]: Extracting #5: cost 20 inf + 11918 10.526 * * [simplify]: Extracting #6: cost 0 inf + 24443 10.529 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 10.529 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt k))) 10.529 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 10.530 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 10.530 * * [simplify]: iters left: 5 (7 enodes) 10.532 * * [simplify]: iters left: 4 (32 enodes) 10.539 * * [simplify]: iters left: 3 (57 enodes) 10.557 * * [simplify]: iters left: 2 (90 enodes) 10.589 * * [simplify]: iters left: 1 (170 enodes) 10.634 * * [simplify]: Extracting #0: cost 1 inf + 0 10.634 * * [simplify]: Extracting #1: cost 13 inf + 0 10.634 * * [simplify]: Extracting #2: cost 54 inf + 2 10.634 * * [simplify]: Extracting #3: cost 89 inf + 6 10.635 * * [simplify]: Extracting #4: cost 78 inf + 1344 10.636 * * [simplify]: Extracting #5: cost 20 inf + 14664 10.640 * * [simplify]: Extracting #6: cost 1 inf + 22045 10.644 * * [simplify]: Extracting #7: cost 0 inf + 21300 10.648 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 10.648 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 10.648 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 10.648 * * [simplify]: iters left: 5 (8 enodes) 10.651 * * [simplify]: iters left: 4 (36 enodes) 10.657 * * [simplify]: iters left: 3 (57 enodes) 10.667 * * [simplify]: iters left: 2 (92 enodes) 10.703 * * [simplify]: iters left: 1 (188 enodes) 10.753 * * [simplify]: Extracting #0: cost 1 inf + 0 10.753 * * [simplify]: Extracting #1: cost 13 inf + 0 10.753 * * [simplify]: Extracting #2: cost 57 inf + 1 10.753 * * [simplify]: Extracting #3: cost 92 inf + 6 10.754 * * [simplify]: Extracting #4: cost 87 inf + 1221 10.755 * * [simplify]: Extracting #5: cost 34 inf + 9913 10.757 * * [simplify]: Extracting #6: cost 17 inf + 13054 10.764 * * [simplify]: Extracting #7: cost 0 inf + 24512 10.771 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 10.771 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 10.771 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 10.771 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 10.771 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 10.772 * * [simplify]: iters left: 6 (11 enodes) 10.778 * * [simplify]: iters left: 5 (50 enodes) 10.796 * * [simplify]: iters left: 4 (97 enodes) 10.828 * * [simplify]: iters left: 3 (196 enodes) 10.886 * * [simplify]: Extracting #0: cost 1 inf + 0 10.886 * * [simplify]: Extracting #1: cost 49 inf + 0 10.886 * * [simplify]: Extracting #2: cost 135 inf + 1 10.887 * * [simplify]: Extracting #3: cost 177 inf + 639 10.888 * * [simplify]: Extracting #4: cost 133 inf + 7119 10.893 * * [simplify]: Extracting #5: cost 24 inf + 30350 10.901 * * [simplify]: Extracting #6: cost 0 inf + 37308 10.913 * * [simplify]: Extracting #7: cost 0 inf + 37228 10.925 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) 10.926 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) (sqrt k))) 10.926 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 10.926 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 10.926 * * [simplify]: iters left: 6 (11 enodes) 10.933 * * [simplify]: iters left: 5 (48 enodes) 10.946 * * [simplify]: iters left: 4 (79 enodes) 10.962 * * [simplify]: iters left: 3 (127 enodes) 10.991 * * [simplify]: iters left: 2 (246 enodes) 11.057 * * [simplify]: iters left: 1 (492 enodes) 11.259 * * [simplify]: Extracting #0: cost 1 inf + 0 11.259 * * [simplify]: Extracting #1: cost 26 inf + 0 11.259 * * [simplify]: Extracting #2: cost 138 inf + 0 11.260 * * [simplify]: Extracting #3: cost 277 inf + 4 11.261 * * [simplify]: Extracting #4: cost 299 inf + 182 11.262 * * [simplify]: Extracting #5: cost 287 inf + 1223 11.266 * * [simplify]: Extracting #6: cost 197 inf + 26978 11.282 * * [simplify]: Extracting #7: cost 51 inf + 116657 11.324 * * [simplify]: Extracting #8: cost 1 inf + 155122 11.368 * * [simplify]: Extracting #9: cost 0 inf + 152768 11.414 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 11.414 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 11.414 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 11.415 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 11.415 * * [simplify]: iters left: 6 (12 enodes) 11.422 * * [simplify]: iters left: 5 (51 enodes) 11.433 * * [simplify]: iters left: 4 (84 enodes) 11.447 * * [simplify]: iters left: 3 (127 enodes) 11.478 * * [simplify]: iters left: 2 (212 enodes) 11.551 * * [simplify]: iters left: 1 (389 enodes) 11.724 * * [simplify]: Extracting #0: cost 1 inf + 0 11.724 * * [simplify]: Extracting #1: cost 3 inf + 0 11.724 * * [simplify]: Extracting #2: cost 5 inf + 0 11.724 * * [simplify]: Extracting #3: cost 34 inf + 0 11.724 * * [simplify]: Extracting #4: cost 117 inf + 1 11.725 * * [simplify]: Extracting #5: cost 168 inf + 176 11.726 * * [simplify]: Extracting #6: cost 165 inf + 767 11.728 * * [simplify]: Extracting #7: cost 98 inf + 11266 11.736 * * [simplify]: Extracting #8: cost 10 inf + 59756 11.746 * * [simplify]: Extracting #9: cost 0 inf + 68459 11.766 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 11.766 * [simplify]: Simplified (2 1 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))) 11.766 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 11.767 * * [simplify]: iters left: 6 (11 enodes) 11.770 * * [simplify]: iters left: 5 (48 enodes) 11.778 * * [simplify]: iters left: 4 (77 enodes) 11.791 * * [simplify]: iters left: 3 (120 enodes) 11.836 * * [simplify]: iters left: 2 (218 enodes) 11.903 * * [simplify]: iters left: 1 (394 enodes) 12.056 * * [simplify]: Extracting #0: cost 1 inf + 0 12.056 * * [simplify]: Extracting #1: cost 3 inf + 0 12.056 * * [simplify]: Extracting #2: cost 30 inf + 0 12.057 * * [simplify]: Extracting #3: cost 110 inf + 1 12.058 * * [simplify]: Extracting #4: cost 180 inf + 176 12.059 * * [simplify]: Extracting #5: cost 171 inf + 1097 12.061 * * [simplify]: Extracting #6: cost 98 inf + 12511 12.068 * * [simplify]: Extracting #7: cost 30 inf + 42025 12.082 * * [simplify]: Extracting #8: cost 0 inf + 66207 12.111 * * [simplify]: Extracting #9: cost 0 inf + 64520 12.139 * * [simplify]: Extracting #10: cost 0 inf + 63773 12.167 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 12.167 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 12.167 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 12.168 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 12.168 * * [simplify]: iters left: 6 (12 enodes) 12.172 * * [simplify]: iters left: 5 (54 enodes) 12.183 * * [simplify]: iters left: 4 (107 enodes) 12.214 * * [simplify]: iters left: 3 (222 enodes) 12.286 * * [simplify]: iters left: 2 (475 enodes) 12.590 * * [simplify]: Extracting #0: cost 1 inf + 0 12.590 * * [simplify]: Extracting #1: cost 48 inf + 0 12.591 * * [simplify]: Extracting #2: cost 144 inf + 3 12.593 * * [simplify]: Extracting #3: cost 196 inf + 5 12.595 * * [simplify]: Extracting #4: cost 196 inf + 1684 12.603 * * [simplify]: Extracting #5: cost 116 inf + 31527 12.628 * * [simplify]: Extracting #6: cost 23 inf + 107445 12.654 * * [simplify]: Extracting #7: cost 0 inf + 127082 12.698 * * [simplify]: Extracting #8: cost 0 inf + 125924 12.723 * * [simplify]: Extracting #9: cost 0 inf + 125846 12.742 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 12.742 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (sqrt k))) 12.742 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 12.743 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 12.743 * * [simplify]: iters left: 6 (11 enodes) 12.747 * * [simplify]: iters left: 5 (48 enodes) 12.759 * * [simplify]: iters left: 4 (78 enodes) 12.784 * * [simplify]: iters left: 3 (122 enodes) 12.831 * * [simplify]: iters left: 2 (223 enodes) 12.904 * * [simplify]: iters left: 1 (410 enodes) 13.089 * * [simplify]: Extracting #0: cost 1 inf + 0 13.089 * * [simplify]: Extracting #1: cost 4 inf + 0 13.089 * * [simplify]: Extracting #2: cost 36 inf + 0 13.089 * * [simplify]: Extracting #3: cost 131 inf + 1 13.090 * * [simplify]: Extracting #4: cost 175 inf + 220 13.091 * * [simplify]: Extracting #5: cost 160 inf + 1914 13.094 * * [simplify]: Extracting #6: cost 84 inf + 11925 13.101 * * [simplify]: Extracting #7: cost 27 inf + 40490 13.115 * * [simplify]: Extracting #8: cost 0 inf + 68673 13.126 * * [simplify]: Extracting #9: cost 0 inf + 68313 13.141 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 13.141 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))) 13.142 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 13.142 * * [simplify]: iters left: 6 (11 enodes) 13.148 * * [simplify]: iters left: 5 (48 enodes) 13.163 * * [simplify]: iters left: 4 (78 enodes) 13.176 * * [simplify]: iters left: 3 (122 enodes) 13.200 * * [simplify]: iters left: 2 (223 enodes) 13.243 * * [simplify]: iters left: 1 (410 enodes) 13.474 * * [simplify]: Extracting #0: cost 1 inf + 0 13.474 * * [simplify]: Extracting #1: cost 4 inf + 0 13.474 * * [simplify]: Extracting #2: cost 36 inf + 0 13.475 * * [simplify]: Extracting #3: cost 131 inf + 1 13.477 * * [simplify]: Extracting #4: cost 175 inf + 220 13.479 * * [simplify]: Extracting #5: cost 160 inf + 1914 13.484 * * [simplify]: Extracting #6: cost 84 inf + 11925 13.492 * * [simplify]: Extracting #7: cost 27 inf + 40490 13.503 * * [simplify]: Extracting #8: cost 0 inf + 68673 13.514 * * [simplify]: Extracting #9: cost 0 inf + 68313 13.534 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 13.534 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 13.535 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 13.535 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 13.535 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 13.535 * * [simplify]: iters left: 6 (11 enodes) 13.542 * * [simplify]: iters left: 5 (51 enodes) 13.558 * * [simplify]: iters left: 4 (87 enodes) 13.573 * * [simplify]: iters left: 3 (146 enodes) 13.610 * * [simplify]: iters left: 2 (263 enodes) 13.682 * * [simplify]: iters left: 1 (487 enodes) 13.852 * * [simplify]: Extracting #0: cost 1 inf + 0 13.853 * * [simplify]: Extracting #1: cost 26 inf + 0 13.853 * * [simplify]: Extracting #2: cost 109 inf + 1 13.855 * * [simplify]: Extracting #3: cost 197 inf + 178 13.857 * * [simplify]: Extracting #4: cost 191 inf + 1310 13.864 * * [simplify]: Extracting #5: cost 96 inf + 14316 13.877 * * [simplify]: Extracting #6: cost 32 inf + 39237 13.896 * * [simplify]: Extracting #7: cost 0 inf + 65358 13.907 * * [simplify]: Extracting #8: cost 0 inf + 64077 13.918 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 13.918 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 13.918 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 13.919 * * [simplify]: iters left: 6 (11 enodes) 13.923 * * [simplify]: iters left: 5 (51 enodes) 13.940 * * [simplify]: iters left: 4 (87 enodes) 13.957 * * [simplify]: iters left: 3 (146 enodes) 13.998 * * [simplify]: iters left: 2 (263 enodes) 14.071 * * [simplify]: iters left: 1 (487 enodes) 14.261 * * [simplify]: Extracting #0: cost 1 inf + 0 14.261 * * [simplify]: Extracting #1: cost 26 inf + 0 14.261 * * [simplify]: Extracting #2: cost 109 inf + 1 14.263 * * [simplify]: Extracting #3: cost 197 inf + 178 14.265 * * [simplify]: Extracting #4: cost 191 inf + 1310 14.272 * * [simplify]: Extracting #5: cost 96 inf + 14316 14.286 * * [simplify]: Extracting #6: cost 32 inf + 39237 14.307 * * [simplify]: Extracting #7: cost 0 inf + 65358 14.323 * * [simplify]: Extracting #8: cost 0 inf + 64077 14.338 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 14.338 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt k))) 14.338 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 14.338 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 14.339 * * [simplify]: iters left: 6 (11 enodes) 14.345 * * [simplify]: iters left: 5 (45 enodes) 14.361 * * [simplify]: iters left: 4 (74 enodes) 14.384 * * [simplify]: iters left: 3 (118 enodes) 14.426 * * [simplify]: iters left: 2 (216 enodes) 14.505 * * [simplify]: iters left: 1 (389 enodes) 14.654 * * [simplify]: Extracting #0: cost 1 inf + 0 14.654 * * [simplify]: Extracting #1: cost 2 inf + 0 14.654 * * [simplify]: Extracting #2: cost 30 inf + 0 14.654 * * [simplify]: Extracting #3: cost 112 inf + 1 14.655 * * [simplify]: Extracting #4: cost 170 inf + 301 14.656 * * [simplify]: Extracting #5: cost 163 inf + 1056 14.658 * * [simplify]: Extracting #6: cost 93 inf + 10956 14.666 * * [simplify]: Extracting #7: cost 18 inf + 54432 14.680 * * [simplify]: Extracting #8: cost 0 inf + 72890 14.703 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 14.703 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 14.704 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 14.704 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 14.704 * * [simplify]: iters left: 5 (6 enodes) 14.707 * * [simplify]: iters left: 4 (22 enodes) 14.714 * * [simplify]: iters left: 3 (30 enodes) 14.723 * * [simplify]: iters left: 2 (35 enodes) 14.731 * * [simplify]: Extracting #0: cost 1 inf + 0 14.731 * * [simplify]: Extracting #1: cost 3 inf + 0 14.732 * * [simplify]: Extracting #2: cost 10 inf + 0 14.732 * * [simplify]: Extracting #3: cost 10 inf + 3 14.732 * * [simplify]: Extracting #4: cost 6 inf + 171 14.732 * * [simplify]: Extracting #5: cost 1 inf + 574 14.732 * * [simplify]: Extracting #6: cost 0 inf + 727 14.733 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 14.733 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 14.733 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 14.733 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 14.733 * * [simplify]: iters left: 5 (6 enodes) 14.737 * * [simplify]: iters left: 4 (22 enodes) 14.744 * * [simplify]: iters left: 3 (30 enodes) 14.752 * * [simplify]: iters left: 2 (35 enodes) 14.761 * * [simplify]: Extracting #0: cost 1 inf + 0 14.762 * * [simplify]: Extracting #1: cost 3 inf + 0 14.762 * * [simplify]: Extracting #2: cost 10 inf + 0 14.762 * * [simplify]: Extracting #3: cost 10 inf + 3 14.762 * * [simplify]: Extracting #4: cost 6 inf + 171 14.762 * * [simplify]: Extracting #5: cost 1 inf + 594 14.762 * * [simplify]: Extracting #6: cost 0 inf + 767 14.762 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 14.762 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 14.762 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 14.763 * [simplify]: Simplifying (* n (* 2 PI)) 14.763 * * [simplify]: iters left: 4 (5 enodes) 14.764 * * [simplify]: iters left: 3 (19 enodes) 14.767 * * [simplify]: iters left: 2 (27 enodes) 14.771 * * [simplify]: iters left: 1 (32 enodes) 14.775 * * [simplify]: Extracting #0: cost 1 inf + 0 14.775 * * [simplify]: Extracting #1: cost 8 inf + 0 14.775 * * [simplify]: Extracting #2: cost 7 inf + 45 14.775 * * [simplify]: Extracting #3: cost 0 inf + 421 14.775 * [simplify]: Simplified to (* (* PI 2) n) 14.775 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 14.775 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 14.776 * [simplify]: Simplifying (* n (* 2 PI)) 14.776 * * [simplify]: iters left: 4 (5 enodes) 14.777 * * [simplify]: iters left: 3 (19 enodes) 14.780 * * [simplify]: iters left: 2 (27 enodes) 14.784 * * [simplify]: iters left: 1 (32 enodes) 14.788 * * [simplify]: Extracting #0: cost 1 inf + 0 14.788 * * [simplify]: Extracting #1: cost 8 inf + 0 14.788 * * [simplify]: Extracting #2: cost 7 inf + 45 14.789 * * [simplify]: Extracting #3: cost 0 inf + 421 14.789 * [simplify]: Simplified to (* (* PI 2) n) 14.789 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 14.789 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 14.789 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 14.790 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 14.790 * * [simplify]: iters left: 5 (8 enodes) 14.794 * * [simplify]: iters left: 4 (28 enodes) 14.803 * * [simplify]: iters left: 3 (36 enodes) 14.813 * * [simplify]: iters left: 2 (42 enodes) 14.824 * * [simplify]: Extracting #0: cost 1 inf + 0 14.824 * * [simplify]: Extracting #1: cost 8 inf + 0 14.824 * * [simplify]: Extracting #2: cost 17 inf + 0 14.824 * * [simplify]: Extracting #3: cost 12 inf + 145 14.824 * * [simplify]: Extracting #4: cost 5 inf + 1197 14.825 * * [simplify]: Extracting #5: cost 1 inf + 1925 14.826 * * [simplify]: Extracting #6: cost 0 inf + 2107 14.826 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 14.826 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 14.826 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 14.827 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 14.827 * * [simplify]: iters left: 5 (7 enodes) 14.831 * * [simplify]: iters left: 4 (26 enodes) 14.839 * * [simplify]: iters left: 3 (35 enodes) 14.850 * * [simplify]: iters left: 2 (44 enodes) 14.858 * * [simplify]: Extracting #0: cost 1 inf + 0 14.858 * * [simplify]: Extracting #1: cost 8 inf + 0 14.858 * * [simplify]: Extracting #2: cost 18 inf + 0 14.858 * * [simplify]: Extracting #3: cost 15 inf + 74 14.858 * * [simplify]: Extracting #4: cost 8 inf + 554 14.859 * * [simplify]: Extracting #5: cost 0 inf + 1911 14.859 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 14.859 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 14.859 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 14.859 * [simplify]: Simplifying (log (* n (* 2 PI))) 14.859 * * [simplify]: iters left: 5 (6 enodes) 14.861 * * [simplify]: iters left: 4 (25 enodes) 14.865 * * [simplify]: iters left: 3 (44 enodes) 14.873 * * [simplify]: iters left: 2 (62 enodes) 14.882 * * [simplify]: iters left: 1 (70 enodes) 14.894 * * [simplify]: Extracting #0: cost 1 inf + 0 14.894 * * [simplify]: Extracting #1: cost 9 inf + 0 14.894 * * [simplify]: Extracting #2: cost 22 inf + 0 14.894 * * [simplify]: Extracting #3: cost 19 inf + 228 14.895 * * [simplify]: Extracting #4: cost 6 inf + 1211 14.895 * * [simplify]: Extracting #5: cost 1 inf + 1713 14.896 * * [simplify]: Extracting #6: cost 0 inf + 1825 14.897 * [simplify]: Simplified to (log (* (* PI 2) n)) 14.897 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 14.897 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 14.898 * [simplify]: Simplifying (exp (* n (* 2 PI))) 14.898 * * [simplify]: iters left: 5 (6 enodes) 14.900 * * [simplify]: iters left: 4 (24 enodes) 14.904 * * [simplify]: iters left: 3 (41 enodes) 14.911 * * [simplify]: iters left: 2 (77 enodes) 14.923 * * [simplify]: iters left: 1 (133 enodes) 14.964 * * [simplify]: Extracting #0: cost 1 inf + 0 14.965 * * [simplify]: Extracting #1: cost 35 inf + 0 14.965 * * [simplify]: Extracting #2: cost 76 inf + 902 14.966 * * [simplify]: Extracting #3: cost 70 inf + 5334 14.969 * * [simplify]: Extracting #4: cost 21 inf + 16365 14.976 * * [simplify]: Extracting #5: cost 2 inf + 21849 14.981 * * [simplify]: Extracting #6: cost 0 inf + 22004 14.985 * [simplify]: Simplified to (exp (* n (+ PI PI))) 14.985 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log (exp (* n (+ PI PI)))) (/ (- 1 k) 2)) (sqrt k))) 14.985 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 14.986 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 14.986 * * [simplify]: iters left: 6 (11 enodes) 14.994 * * [simplify]: iters left: 5 (48 enodes) 15.012 * * [simplify]: iters left: 4 (121 enodes) 15.042 * * [simplify]: iters left: 3 (348 enodes) 15.253 * * [simplify]: Extracting #0: cost 1 inf + 0 15.254 * * [simplify]: Extracting #1: cost 67 inf + 0 15.254 * * [simplify]: Extracting #2: cost 165 inf + 786 15.257 * * [simplify]: Extracting #3: cost 81 inf + 10746 15.269 * * [simplify]: Extracting #4: cost 9 inf + 26018 15.282 * * [simplify]: Extracting #5: cost 0 inf + 28546 15.292 * * [simplify]: Extracting #6: cost 0 inf + 28506 15.301 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 15.301 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 15.301 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 15.302 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 15.302 * * [simplify]: iters left: 6 (9 enodes) 15.305 * * [simplify]: iters left: 5 (45 enodes) 15.315 * * [simplify]: iters left: 4 (117 enodes) 15.357 * * [simplify]: iters left: 3 (377 enodes) 15.660 * * [simplify]: Extracting #0: cost 1 inf + 0 15.661 * * [simplify]: Extracting #1: cost 79 inf + 0 15.662 * * [simplify]: Extracting #2: cost 191 inf + 659 15.670 * * [simplify]: Extracting #3: cost 100 inf + 13238 15.688 * * [simplify]: Extracting #4: cost 6 inf + 31685 15.697 * * [simplify]: Extracting #5: cost 0 inf + 32539 15.706 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 15.707 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (sqrt k))) 15.707 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 15.707 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 15.707 * * [simplify]: iters left: 6 (7 enodes) 15.709 * * [simplify]: iters left: 5 (25 enodes) 15.713 * * [simplify]: iters left: 4 (33 enodes) 15.722 * * [simplify]: iters left: 3 (39 enodes) 15.732 * * [simplify]: Extracting #0: cost 1 inf + 0 15.732 * * [simplify]: Extracting #1: cost 3 inf + 0 15.732 * * [simplify]: Extracting #2: cost 5 inf + 0 15.732 * * [simplify]: Extracting #3: cost 12 inf + 0 15.732 * * [simplify]: Extracting #4: cost 11 inf + 45 15.732 * * [simplify]: Extracting #5: cost 5 inf + 500 15.732 * * [simplify]: Extracting #6: cost 1 inf + 950 15.732 * * [simplify]: Extracting #7: cost 0 inf + 1153 15.733 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 15.733 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 15.733 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 15.733 * * [simplify]: iters left: 5 (6 enodes) 15.735 * * [simplify]: iters left: 4 (22 enodes) 15.738 * * [simplify]: iters left: 3 (30 enodes) 15.743 * * [simplify]: iters left: 2 (35 enodes) 15.747 * * [simplify]: Extracting #0: cost 1 inf + 0 15.747 * * [simplify]: Extracting #1: cost 3 inf + 0 15.747 * * [simplify]: Extracting #2: cost 10 inf + 0 15.747 * * [simplify]: Extracting #3: cost 10 inf + 3 15.747 * * [simplify]: Extracting #4: cost 6 inf + 171 15.748 * * [simplify]: Extracting #5: cost 1 inf + 584 15.748 * * [simplify]: Extracting #6: cost 0 inf + 747 15.748 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 15.748 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.748 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 15.748 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 15.748 * * [simplify]: iters left: 6 (7 enodes) 15.751 * * [simplify]: iters left: 5 (35 enodes) 15.759 * * [simplify]: iters left: 4 (120 enodes) 15.845 * * [simplify]: iters left: 3 (434 enodes) 16.281 * * [simplify]: Extracting #0: cost 1 inf + 0 16.281 * * [simplify]: Extracting #1: cost 75 inf + 0 16.282 * * [simplify]: Extracting #2: cost 190 inf + 661 16.286 * * [simplify]: Extracting #3: cost 73 inf + 17047 16.296 * * [simplify]: Extracting #4: cost 3 inf + 27583 16.305 * * [simplify]: Extracting #5: cost 0 inf + 27781 16.315 * * [simplify]: Extracting #6: cost 0 inf + 27740 16.333 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 16.333 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (- 1 k) 2)) (sqrt k))) 16.333 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 16.334 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 16.334 * * [simplify]: iters left: 5 (6 enodes) 16.337 * * [simplify]: iters left: 4 (22 enodes) 16.344 * * [simplify]: iters left: 3 (30 enodes) 16.353 * * [simplify]: iters left: 2 (35 enodes) 16.358 * * [simplify]: Extracting #0: cost 1 inf + 0 16.358 * * [simplify]: Extracting #1: cost 3 inf + 0 16.358 * * [simplify]: Extracting #2: cost 10 inf + 0 16.358 * * [simplify]: Extracting #3: cost 10 inf + 3 16.358 * * [simplify]: Extracting #4: cost 6 inf + 171 16.358 * * [simplify]: Extracting #5: cost 1 inf + 544 16.358 * * [simplify]: Extracting #6: cost 0 inf + 667 16.359 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 16.359 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 16.359 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 16.359 * * [simplify]: iters left: 5 (6 enodes) 16.361 * * [simplify]: iters left: 4 (22 enodes) 16.364 * * [simplify]: iters left: 3 (30 enodes) 16.369 * * [simplify]: iters left: 2 (35 enodes) 16.373 * * [simplify]: Extracting #0: cost 1 inf + 0 16.373 * * [simplify]: Extracting #1: cost 3 inf + 0 16.373 * * [simplify]: Extracting #2: cost 10 inf + 0 16.373 * * [simplify]: Extracting #3: cost 10 inf + 3 16.374 * * [simplify]: Extracting #4: cost 6 inf + 171 16.374 * * [simplify]: Extracting #5: cost 1 inf + 544 16.374 * * [simplify]: Extracting #6: cost 0 inf + 667 16.374 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 16.374 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 16.374 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 16.374 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 16.374 * [simplify]: Simplifying (* n 2) 16.374 * * [simplify]: iters left: 2 (3 enodes) 16.375 * * [simplify]: iters left: 1 (10 enodes) 16.377 * * [simplify]: Extracting #0: cost 1 inf + 0 16.377 * * [simplify]: Extracting #1: cost 4 inf + 0 16.377 * * [simplify]: Extracting #2: cost 2 inf + 2 16.377 * * [simplify]: Extracting #3: cost 0 inf + 86 16.377 * [simplify]: Simplified to (* n 2) 16.377 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) 16.377 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 16.377 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 16.377 * * [simplify]: iters left: 4 (6 enodes) 16.379 * * [simplify]: iters left: 3 (22 enodes) 16.383 * * [simplify]: iters left: 2 (30 enodes) 16.392 * * [simplify]: iters left: 1 (35 enodes) 16.401 * * [simplify]: Extracting #0: cost 1 inf + 0 16.401 * * [simplify]: Extracting #1: cost 8 inf + 0 16.401 * * [simplify]: Extracting #2: cost 10 inf + 44 16.401 * * [simplify]: Extracting #3: cost 8 inf + 87 16.402 * * [simplify]: Extracting #4: cost 5 inf + 453 16.402 * * [simplify]: Extracting #5: cost 0 inf + 1063 16.402 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 16.402 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 16.403 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 16.403 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 16.403 * * [simplify]: iters left: 4 (6 enodes) 16.406 * * [simplify]: iters left: 3 (22 enodes) 16.413 * * [simplify]: iters left: 2 (30 enodes) 16.422 * * [simplify]: iters left: 1 (35 enodes) 16.427 * * [simplify]: Extracting #0: cost 1 inf + 0 16.427 * * [simplify]: Extracting #1: cost 8 inf + 0 16.427 * * [simplify]: Extracting #2: cost 10 inf + 44 16.427 * * [simplify]: Extracting #3: cost 8 inf + 87 16.427 * * [simplify]: Extracting #4: cost 5 inf + 333 16.427 * * [simplify]: Extracting #5: cost 0 inf + 743 16.428 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 16.428 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 16.428 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 16.428 * [simplify]: Simplifying (* n (* 2 PI)) 16.428 * * [simplify]: iters left: 4 (5 enodes) 16.429 * * [simplify]: iters left: 3 (19 enodes) 16.434 * * [simplify]: iters left: 2 (27 enodes) 16.438 * * [simplify]: iters left: 1 (32 enodes) 16.442 * * [simplify]: Extracting #0: cost 1 inf + 0 16.442 * * [simplify]: Extracting #1: cost 8 inf + 0 16.442 * * [simplify]: Extracting #2: cost 7 inf + 45 16.442 * * [simplify]: Extracting #3: cost 0 inf + 421 16.443 * [simplify]: Simplified to (* (* PI 2) n) 16.443 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt k))) 16.443 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 16.443 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 16.443 * * [simplify]: iters left: 5 (6 enodes) 16.445 * * [simplify]: iters left: 4 (19 enodes) 16.450 * * [simplify]: iters left: 3 (27 enodes) 16.458 * * [simplify]: iters left: 2 (32 enodes) 16.467 * * [simplify]: Extracting #0: cost 1 inf + 0 16.467 * * [simplify]: Extracting #1: cost 2 inf + 0 16.467 * * [simplify]: Extracting #2: cost 8 inf + 0 16.467 * * [simplify]: Extracting #3: cost 7 inf + 45 16.467 * * [simplify]: Extracting #4: cost 1 inf + 379 16.468 * * [simplify]: Extracting #5: cost 0 inf + 421 16.468 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 16.468 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 16.468 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 16.468 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 16.468 * [simplify]: Simplifying (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 16.469 * * [simplify]: iters left: 6 (13 enodes) 16.476 * * [simplify]: iters left: 5 (54 enodes) 16.494 * * [simplify]: iters left: 4 (89 enodes) 16.523 * * [simplify]: iters left: 3 (138 enodes) 16.571 * * [simplify]: iters left: 2 (235 enodes) 16.645 * * [simplify]: iters left: 1 (482 enodes) 16.856 * * [simplify]: Extracting #0: cost 1 inf + 0 16.857 * * [simplify]: Extracting #1: cost 3 inf + 0 16.857 * * [simplify]: Extracting #2: cost 49 inf + 0 16.858 * * [simplify]: Extracting #3: cost 152 inf + 0 16.859 * * [simplify]: Extracting #4: cost 234 inf + 4 16.862 * * [simplify]: Extracting #5: cost 222 inf + 3202 16.874 * * [simplify]: Extracting #6: cost 111 inf + 43929 16.896 * * [simplify]: Extracting #7: cost 15 inf + 120306 16.915 * * [simplify]: Extracting #8: cost 0 inf + 128249 16.937 * * [simplify]: Extracting #9: cost 0 inf + 122864 16.957 * * [simplify]: Extracting #10: cost 0 inf + 122651 16.980 * [simplify]: Simplified to (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 16.980 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 16.980 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 16.980 * [simplify]: Simplifying (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 16.980 * * [simplify]: iters left: 6 (13 enodes) 16.988 * * [simplify]: iters left: 5 (54 enodes) 17.001 * * [simplify]: iters left: 4 (89 enodes) 17.016 * * [simplify]: iters left: 3 (138 enodes) 17.041 * * [simplify]: iters left: 2 (235 enodes) 17.108 * * [simplify]: iters left: 1 (482 enodes) 17.324 * * [simplify]: Extracting #0: cost 1 inf + 0 17.324 * * [simplify]: Extracting #1: cost 3 inf + 0 17.324 * * [simplify]: Extracting #2: cost 49 inf + 0 17.324 * * [simplify]: Extracting #3: cost 152 inf + 0 17.325 * * [simplify]: Extracting #4: cost 234 inf + 4 17.327 * * [simplify]: Extracting #5: cost 222 inf + 3202 17.333 * * [simplify]: Extracting #6: cost 111 inf + 43949 17.356 * * [simplify]: Extracting #7: cost 15 inf + 120346 17.376 * * [simplify]: Extracting #8: cost 0 inf + 128289 17.406 * * [simplify]: Extracting #9: cost 0 inf + 122904 17.426 * * [simplify]: Extracting #10: cost 0 inf + 122691 17.454 * [simplify]: Simplified to (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 17.454 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 17.454 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 17.454 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 17.454 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 17.454 * * [simplify]: iters left: 6 (16 enodes) 17.459 * * [simplify]: iters left: 5 (66 enodes) 17.470 * * [simplify]: iters left: 4 (113 enodes) 17.498 * * [simplify]: iters left: 3 (308 enodes) 17.622 * * [simplify]: Extracting #0: cost 1 inf + 0 17.622 * * [simplify]: Extracting #1: cost 33 inf + 0 17.622 * * [simplify]: Extracting #2: cost 116 inf + 0 17.623 * * [simplify]: Extracting #3: cost 164 inf + 329 17.625 * * [simplify]: Extracting #4: cost 130 inf + 10620 17.636 * * [simplify]: Extracting #5: cost 21 inf + 41329 17.659 * * [simplify]: Extracting #6: cost 0 inf + 49734 17.678 * * [simplify]: Extracting #7: cost 0 inf + 49733 17.690 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 17.690 * [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))))) 17.690 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 17.690 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 17.690 * * [simplify]: iters left: 6 (15 enodes) 17.695 * * [simplify]: iters left: 5 (64 enodes) 17.705 * * [simplify]: iters left: 4 (106 enodes) 17.732 * * [simplify]: iters left: 3 (249 enodes) 17.850 * * [simplify]: Extracting #0: cost 1 inf + 0 17.850 * * [simplify]: Extracting #1: cost 29 inf + 0 17.851 * * [simplify]: Extracting #2: cost 111 inf + 0 17.851 * * [simplify]: Extracting #3: cost 150 inf + 342 17.853 * * [simplify]: Extracting #4: cost 136 inf + 6102 17.859 * * [simplify]: Extracting #5: cost 59 inf + 24622 17.866 * * [simplify]: Extracting #6: cost 7 inf + 38491 17.874 * * [simplify]: Extracting #7: cost 0 inf + 41230 17.886 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 17.887 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 17.887 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 17.887 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 17.887 * * [simplify]: iters left: 6 (14 enodes) 17.895 * * [simplify]: iters left: 5 (63 enodes) 17.905 * * [simplify]: iters left: 4 (113 enodes) 17.925 * * [simplify]: iters left: 3 (231 enodes) 18.014 * * [simplify]: Extracting #0: cost 1 inf + 0 18.015 * * [simplify]: Extracting #1: cost 23 inf + 0 18.015 * * [simplify]: Extracting #2: cost 108 inf + 0 18.016 * * [simplify]: Extracting #3: cost 143 inf + 620 18.019 * * [simplify]: Extracting #4: cost 134 inf + 4883 18.027 * * [simplify]: Extracting #5: cost 41 inf + 23887 18.044 * * [simplify]: Extracting #6: cost 1 inf + 35360 18.058 * * [simplify]: Extracting #7: cost 0 inf + 35518 18.065 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 18.065 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 18.066 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 18.066 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 18.066 * * [simplify]: iters left: 6 (14 enodes) 18.070 * * [simplify]: iters left: 5 (63 enodes) 18.081 * * [simplify]: iters left: 4 (113 enodes) 18.106 * * [simplify]: iters left: 3 (231 enodes) 18.201 * * [simplify]: Extracting #0: cost 1 inf + 0 18.201 * * [simplify]: Extracting #1: cost 23 inf + 0 18.201 * * [simplify]: Extracting #2: cost 108 inf + 0 18.202 * * [simplify]: Extracting #3: cost 143 inf + 620 18.205 * * [simplify]: Extracting #4: cost 134 inf + 4883 18.213 * * [simplify]: Extracting #5: cost 41 inf + 23887 18.227 * * [simplify]: Extracting #6: cost 1 inf + 35360 18.236 * * [simplify]: Extracting #7: cost 0 inf + 35518 18.246 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 18.246 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 18.246 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 18.246 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 18.246 * * [simplify]: iters left: 6 (14 enodes) 18.250 * * [simplify]: iters left: 5 (61 enodes) 18.261 * * [simplify]: iters left: 4 (112 enodes) 18.299 * * [simplify]: iters left: 3 (221 enodes) 18.350 * * [simplify]: Extracting #0: cost 1 inf + 0 18.350 * * [simplify]: Extracting #1: cost 24 inf + 0 18.350 * * [simplify]: Extracting #2: cost 131 inf + 0 18.351 * * [simplify]: Extracting #3: cost 196 inf + 75 18.352 * * [simplify]: Extracting #4: cost 153 inf + 6973 18.358 * * [simplify]: Extracting #5: cost 28 inf + 33579 18.368 * * [simplify]: Extracting #6: cost 4 inf + 41961 18.383 * * [simplify]: Extracting #7: cost 0 inf + 44417 18.398 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 18.398 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 18.399 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 18.400 * [simplify]: Simplifying (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 18.400 * * [simplify]: iters left: 6 (13 enodes) 18.407 * * [simplify]: iters left: 5 (57 enodes) 18.427 * * [simplify]: iters left: 4 (102 enodes) 18.464 * * [simplify]: iters left: 3 (185 enodes) 18.537 * * [simplify]: iters left: 2 (456 enodes) 18.853 * * [simplify]: Extracting #0: cost 1 inf + 0 18.853 * * [simplify]: Extracting #1: cost 119 inf + 0 18.856 * * [simplify]: Extracting #2: cost 530 inf + 1 18.860 * * [simplify]: Extracting #3: cost 631 inf + 79 18.874 * * [simplify]: Extracting #4: cost 538 inf + 22474 18.913 * * [simplify]: Extracting #5: cost 118 inf + 146581 18.977 * * [simplify]: Extracting #6: cost 6 inf + 193728 19.045 * * [simplify]: Extracting #7: cost 0 inf + 194370 19.102 * * [simplify]: Extracting #8: cost 0 inf + 193875 19.148 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 19.148 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 19.148 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 19.148 * [simplify]: Simplifying (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 19.149 * * [simplify]: iters left: 6 (13 enodes) 19.156 * * [simplify]: iters left: 5 (54 enodes) 19.174 * * [simplify]: iters left: 4 (89 enodes) 19.202 * * [simplify]: iters left: 3 (138 enodes) 19.249 * * [simplify]: iters left: 2 (237 enodes) 19.316 * * [simplify]: iters left: 1 (481 enodes) 19.507 * * [simplify]: Extracting #0: cost 1 inf + 0 19.507 * * [simplify]: Extracting #1: cost 21 inf + 0 19.507 * * [simplify]: Extracting #2: cost 110 inf + 0 19.508 * * [simplify]: Extracting #3: cost 225 inf + 3 19.509 * * [simplify]: Extracting #4: cost 238 inf + 6251 19.520 * * [simplify]: Extracting #5: cost 125 inf + 60057 19.552 * * [simplify]: Extracting #6: cost 20 inf + 129841 19.590 * * [simplify]: Extracting #7: cost 0 inf + 145680 19.630 * * [simplify]: Extracting #8: cost 0 inf + 145641 19.669 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 19.670 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 19.670 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 19.670 * [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))) 19.670 * * [simplify]: iters left: 6 (16 enodes) 19.680 * * [simplify]: iters left: 5 (72 enodes) 19.707 * * [simplify]: iters left: 4 (165 enodes) 19.788 * * [simplify]: iters left: 3 (476 enodes) 20.174 * * [simplify]: Extracting #0: cost 1 inf + 0 20.174 * * [simplify]: Extracting #1: cost 170 inf + 0 20.176 * * [simplify]: Extracting #2: cost 447 inf + 1 20.178 * * [simplify]: Extracting #3: cost 501 inf + 248 20.181 * * [simplify]: Extracting #4: cost 480 inf + 4156 20.192 * * [simplify]: Extracting #5: cost 297 inf + 104825 20.252 * * [simplify]: Extracting #6: cost 24 inf + 305640 20.315 * * [simplify]: Extracting #7: cost 0 inf + 322336 20.368 * [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)))) 20.368 * [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)))))) 20.368 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 20.368 * [simplify]: Simplifying (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.368 * * [simplify]: iters left: 6 (14 enodes) 20.373 * * [simplify]: iters left: 5 (57 enodes) 20.384 * * [simplify]: iters left: 4 (92 enodes) 20.413 * * [simplify]: iters left: 3 (137 enodes) 20.460 * * [simplify]: iters left: 2 (233 enodes) 20.552 * * [simplify]: iters left: 1 (473 enodes) 20.840 * * [simplify]: Extracting #0: cost 1 inf + 0 20.840 * * [simplify]: Extracting #1: cost 3 inf + 0 20.840 * * [simplify]: Extracting #2: cost 5 inf + 0 20.841 * * [simplify]: Extracting #3: cost 52 inf + 0 20.841 * * [simplify]: Extracting #4: cost 157 inf + 0 20.843 * * [simplify]: Extracting #5: cost 222 inf + 4 20.846 * * [simplify]: Extracting #6: cost 209 inf + 5475 20.860 * * [simplify]: Extracting #7: cost 131 inf + 31092 20.889 * * [simplify]: Extracting #8: cost 25 inf + 107986 20.918 * * [simplify]: Extracting #9: cost 0 inf + 130529 20.938 * * [simplify]: Extracting #10: cost 0 inf + 128818 20.964 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.964 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 20.964 * [simplify]: Simplifying (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 20.964 * * [simplify]: iters left: 6 (13 enodes) 20.972 * * [simplify]: iters left: 5 (54 enodes) 20.992 * * [simplify]: iters left: 4 (89 enodes) 21.021 * * [simplify]: iters left: 3 (138 enodes) 21.066 * * [simplify]: iters left: 2 (235 enodes) 21.138 * * [simplify]: iters left: 1 (482 enodes) 21.379 * * [simplify]: Extracting #0: cost 1 inf + 0 21.380 * * [simplify]: Extracting #1: cost 3 inf + 0 21.380 * * [simplify]: Extracting #2: cost 49 inf + 0 21.381 * * [simplify]: Extracting #3: cost 152 inf + 0 21.383 * * [simplify]: Extracting #4: cost 234 inf + 4 21.385 * * [simplify]: Extracting #5: cost 222 inf + 3202 21.398 * * [simplify]: Extracting #6: cost 111 inf + 43939 21.439 * * [simplify]: Extracting #7: cost 15 inf + 120326 21.465 * * [simplify]: Extracting #8: cost 0 inf + 128269 21.485 * * [simplify]: Extracting #9: cost 0 inf + 122884 21.523 * * [simplify]: Extracting #10: cost 0 inf + 122671 21.551 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 21.551 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 21.551 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 21.552 * [simplify]: Simplifying (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 21.552 * * [simplify]: iters left: 6 (14 enodes) 21.556 * * [simplify]: iters left: 5 (64 enodes) 21.568 * * [simplify]: iters left: 4 (132 enodes) 21.595 * * [simplify]: iters left: 3 (278 enodes) 21.733 * * [simplify]: Extracting #0: cost 1 inf + 0 21.733 * * [simplify]: Extracting #1: cost 66 inf + 0 21.734 * * [simplify]: Extracting #2: cost 189 inf + 2 21.736 * * [simplify]: Extracting #3: cost 237 inf + 337 21.740 * * [simplify]: Extracting #4: cost 208 inf + 10995 21.757 * * [simplify]: Extracting #5: cost 90 inf + 72589 21.782 * * [simplify]: Extracting #6: cost 4 inf + 141494 21.802 * * [simplify]: Extracting #7: cost 0 inf + 144172 21.821 * * [simplify]: Extracting #8: cost 0 inf + 144055 21.847 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 21.847 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))) 21.847 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 21.848 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 21.848 * * [simplify]: iters left: 6 (13 enodes) 21.855 * * [simplify]: iters left: 5 (54 enodes) 21.864 * * [simplify]: iters left: 4 (89 enodes) 21.879 * * [simplify]: iters left: 3 (138 enodes) 21.922 * * [simplify]: iters left: 2 (235 enodes) 21.983 * * [simplify]: iters left: 1 (482 enodes) 22.266 * * [simplify]: Extracting #0: cost 1 inf + 0 22.266 * * [simplify]: Extracting #1: cost 3 inf + 0 22.266 * * [simplify]: Extracting #2: cost 49 inf + 0 22.266 * * [simplify]: Extracting #3: cost 152 inf + 0 22.267 * * [simplify]: Extracting #4: cost 234 inf + 4 22.269 * * [simplify]: Extracting #5: cost 222 inf + 3202 22.275 * * [simplify]: Extracting #6: cost 111 inf + 43899 22.301 * * [simplify]: Extracting #7: cost 15 inf + 120246 22.339 * * [simplify]: Extracting #8: cost 0 inf + 128189 22.376 * * [simplify]: Extracting #9: cost 0 inf + 122804 22.398 * * [simplify]: Extracting #10: cost 0 inf + 122591 22.418 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 22.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 22.418 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 22.418 * * [simplify]: iters left: 6 (13 enodes) 22.425 * * [simplify]: iters left: 5 (54 enodes) 22.444 * * [simplify]: iters left: 4 (89 enodes) 22.474 * * [simplify]: iters left: 3 (138 enodes) 22.523 * * [simplify]: iters left: 2 (235 enodes) 22.573 * * [simplify]: iters left: 1 (482 enodes) 22.843 * * [simplify]: Extracting #0: cost 1 inf + 0 22.843 * * [simplify]: Extracting #1: cost 3 inf + 0 22.843 * * [simplify]: Extracting #2: cost 49 inf + 0 22.844 * * [simplify]: Extracting #3: cost 152 inf + 0 22.845 * * [simplify]: Extracting #4: cost 234 inf + 4 22.846 * * [simplify]: Extracting #5: cost 222 inf + 3202 22.854 * * [simplify]: Extracting #6: cost 111 inf + 43899 22.884 * * [simplify]: Extracting #7: cost 15 inf + 120246 22.903 * * [simplify]: Extracting #8: cost 0 inf + 128189 22.932 * * [simplify]: Extracting #9: cost 0 inf + 122804 22.970 * * [simplify]: Extracting #10: cost 0 inf + 122591 23.009 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 23.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 23.010 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 23.010 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 23.010 * * [simplify]: iters left: 6 (11 enodes) 23.017 * * [simplify]: iters left: 5 (48 enodes) 23.034 * * [simplify]: iters left: 4 (80 enodes) 23.061 * * [simplify]: iters left: 3 (132 enodes) 23.114 * * [simplify]: iters left: 2 (259 enodes) 23.214 * * [simplify]: Extracting #0: cost 1 inf + 0 23.214 * * [simplify]: Extracting #1: cost 23 inf + 0 23.214 * * [simplify]: Extracting #2: cost 80 inf + 0 23.215 * * [simplify]: Extracting #3: cost 129 inf + 2 23.216 * * [simplify]: Extracting #4: cost 135 inf + 221 23.217 * * [simplify]: Extracting #5: cost 129 inf + 1264 23.221 * * [simplify]: Extracting #6: cost 77 inf + 8606 23.231 * * [simplify]: Extracting #7: cost 45 inf + 20183 23.243 * * [simplify]: Extracting #8: cost 2 inf + 52250 23.259 * * [simplify]: Extracting #9: cost 0 inf + 53874 23.275 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 23.275 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt k)))) 23.275 * [simplify]: Simplifying (- (sqrt k)) 23.275 * * [simplify]: iters left: 3 (3 enodes) 23.276 * * [simplify]: iters left: 2 (9 enodes) 23.279 * * [simplify]: Extracting #0: cost 1 inf + 0 23.279 * * [simplify]: Extracting #1: cost 3 inf + 0 23.279 * * [simplify]: Extracting #2: cost 5 inf + 0 23.279 * * [simplify]: Extracting #3: cost 4 inf + 1 23.279 * * [simplify]: Extracting #4: cost 0 inf + 245 23.279 * [simplify]: Simplified to (- (sqrt k)) 23.279 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k)))) 23.279 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 23.280 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.280 * * [simplify]: iters left: 6 (11 enodes) 23.287 * * [simplify]: iters left: 5 (46 enodes) 23.298 * * [simplify]: iters left: 4 (79 enodes) 23.312 * * [simplify]: iters left: 3 (137 enodes) 23.349 * * [simplify]: iters left: 2 (284 enodes) 23.422 * * [simplify]: Extracting #0: cost 1 inf + 0 23.422 * * [simplify]: Extracting #1: cost 54 inf + 0 23.422 * * [simplify]: Extracting #2: cost 149 inf + 0 23.423 * * [simplify]: Extracting #3: cost 215 inf + 3 23.424 * * [simplify]: Extracting #4: cost 210 inf + 1215 23.426 * * [simplify]: Extracting #5: cost 147 inf + 16368 23.435 * * [simplify]: Extracting #6: cost 35 inf + 84395 23.450 * * [simplify]: Extracting #7: cost 3 inf + 108051 23.478 * * [simplify]: Extracting #8: cost 0 inf + 109590 23.493 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.493 * [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))))) 23.493 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 23.494 * * [simplify]: iters left: 6 (11 enodes) 23.497 * * [simplify]: iters left: 5 (45 enodes) 23.504 * * [simplify]: iters left: 4 (68 enodes) 23.518 * * [simplify]: iters left: 3 (112 enodes) 23.540 * * [simplify]: iters left: 2 (229 enodes) 23.631 * * [simplify]: iters left: 1 (485 enodes) 23.891 * * [simplify]: Extracting #0: cost 1 inf + 0 23.891 * * [simplify]: Extracting #1: cost 52 inf + 0 23.892 * * [simplify]: Extracting #2: cost 168 inf + 0 23.893 * * [simplify]: Extracting #3: cost 259 inf + 3 23.894 * * [simplify]: Extracting #4: cost 262 inf + 888 23.897 * * [simplify]: Extracting #5: cost 187 inf + 13769 23.909 * * [simplify]: Extracting #6: cost 41 inf + 106117 23.932 * * [simplify]: Extracting #7: cost 0 inf + 142276 23.959 * * [simplify]: Extracting #8: cost 0 inf + 141496 23.977 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 23.977 * [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))))) 23.977 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 23.977 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 23.977 * * [simplify]: iters left: 6 (11 enodes) 23.981 * * [simplify]: iters left: 5 (45 enodes) 23.989 * * [simplify]: iters left: 4 (72 enodes) 24.000 * * [simplify]: iters left: 3 (115 enodes) 24.044 * * [simplify]: iters left: 2 (216 enodes) 24.094 * * [simplify]: iters left: 1 (460 enodes) 24.330 * * [simplify]: Extracting #0: cost 1 inf + 0 24.330 * * [simplify]: Extracting #1: cost 44 inf + 0 24.331 * * [simplify]: Extracting #2: cost 144 inf + 0 24.333 * * [simplify]: Extracting #3: cost 221 inf + 4 24.336 * * [simplify]: Extracting #4: cost 214 inf + 2829 24.342 * * [simplify]: Extracting #5: cost 146 inf + 16286 24.361 * * [simplify]: Extracting #6: cost 46 inf + 80897 24.388 * * [simplify]: Extracting #7: cost 0 inf + 116892 24.417 * * [simplify]: Extracting #8: cost 0 inf + 116771 24.450 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 24.450 * [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))))) 24.450 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 24.451 * * [simplify]: iters left: 6 (11 enodes) 24.457 * * [simplify]: iters left: 5 (45 enodes) 24.470 * * [simplify]: iters left: 4 (68 enodes) 24.481 * * [simplify]: iters left: 3 (112 enodes) 24.511 * * [simplify]: iters left: 2 (229 enodes) 24.585 * * [simplify]: iters left: 1 (485 enodes) 24.846 * * [simplify]: Extracting #0: cost 1 inf + 0 24.846 * * [simplify]: Extracting #1: cost 52 inf + 0 24.847 * * [simplify]: Extracting #2: cost 168 inf + 0 24.848 * * [simplify]: Extracting #3: cost 259 inf + 3 24.856 * * [simplify]: Extracting #4: cost 262 inf + 928 24.862 * * [simplify]: Extracting #5: cost 187 inf + 13849 24.875 * * [simplify]: Extracting #6: cost 41 inf + 106197 24.894 * * [simplify]: Extracting #7: cost 0 inf + 142356 24.927 * * [simplify]: Extracting #8: cost 0 inf + 141576 24.965 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 24.965 * [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))))) 24.965 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 24.965 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 24.965 * * [simplify]: iters left: 6 (10 enodes) 24.972 * * [simplify]: iters left: 5 (41 enodes) 24.989 * * [simplify]: iters left: 4 (68 enodes) 25.009 * * [simplify]: iters left: 3 (111 enodes) 25.029 * * [simplify]: iters left: 2 (208 enodes) 25.088 * * [simplify]: iters left: 1 (454 enodes) 25.316 * * [simplify]: Extracting #0: cost 1 inf + 0 25.316 * * [simplify]: Extracting #1: cost 44 inf + 0 25.317 * * [simplify]: Extracting #2: cost 150 inf + 0 25.318 * * [simplify]: Extracting #3: cost 229 inf + 4 25.319 * * [simplify]: Extracting #4: cost 232 inf + 888 25.322 * * [simplify]: Extracting #5: cost 161 inf + 14538 25.330 * * [simplify]: Extracting #6: cost 54 inf + 77463 25.357 * * [simplify]: Extracting #7: cost 0 inf + 123615 25.391 * * [simplify]: Extracting #8: cost 0 inf + 121772 25.414 * * [simplify]: Extracting #9: cost 0 inf + 121731 25.439 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.440 * [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))))) 25.440 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.440 * * [simplify]: iters left: 6 (11 enodes) 25.443 * * [simplify]: iters left: 5 (45 enodes) 25.451 * * [simplify]: iters left: 4 (68 enodes) 25.463 * * [simplify]: iters left: 3 (112 enodes) 25.488 * * [simplify]: iters left: 2 (229 enodes) 25.534 * * [simplify]: iters left: 1 (485 enodes) 25.782 * * [simplify]: Extracting #0: cost 1 inf + 0 25.782 * * [simplify]: Extracting #1: cost 52 inf + 0 25.783 * * [simplify]: Extracting #2: cost 168 inf + 0 25.785 * * [simplify]: Extracting #3: cost 259 inf + 3 25.787 * * [simplify]: Extracting #4: cost 262 inf + 888 25.794 * * [simplify]: Extracting #5: cost 187 inf + 13529 25.817 * * [simplify]: Extracting #6: cost 41 inf + 103437 25.844 * * [simplify]: Extracting #7: cost 0 inf + 138756 25.876 * * [simplify]: Extracting #8: cost 0 inf + 137976 25.898 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 25.898 * [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))))) 25.898 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 25.898 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 25.898 * * [simplify]: iters left: 6 (9 enodes) 25.901 * * [simplify]: iters left: 5 (38 enodes) 25.908 * * [simplify]: iters left: 4 (63 enodes) 25.923 * * [simplify]: iters left: 3 (104 enodes) 25.960 * * [simplify]: iters left: 2 (197 enodes) 26.030 * * [simplify]: iters left: 1 (427 enodes) 26.218 * * [simplify]: Extracting #0: cost 1 inf + 0 26.218 * * [simplify]: Extracting #1: cost 58 inf + 0 26.219 * * [simplify]: Extracting #2: cost 160 inf + 3 26.221 * * [simplify]: Extracting #3: cost 212 inf + 8 26.224 * * [simplify]: Extracting #4: cost 191 inf + 2409 26.230 * * [simplify]: Extracting #5: cost 117 inf + 14792 26.247 * * [simplify]: Extracting #6: cost 32 inf + 70097 26.273 * * [simplify]: Extracting #7: cost 0 inf + 94162 26.288 * * [simplify]: Extracting #8: cost 0 inf + 90449 26.310 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 26.310 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 26.310 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 26.311 * * [simplify]: iters left: 6 (10 enodes) 26.317 * * [simplify]: iters left: 5 (42 enodes) 26.331 * * [simplify]: iters left: 4 (65 enodes) 26.352 * * [simplify]: iters left: 3 (106 enodes) 26.374 * * [simplify]: iters left: 2 (218 enodes) 26.428 * * [simplify]: iters left: 1 (465 enodes) 26.691 * * [simplify]: Extracting #0: cost 1 inf + 0 26.691 * * [simplify]: Extracting #1: cost 54 inf + 0 26.692 * * [simplify]: Extracting #2: cost 159 inf + 0 26.694 * * [simplify]: Extracting #3: cost 239 inf + 45 26.696 * * [simplify]: Extracting #4: cost 239 inf + 847 26.702 * * [simplify]: Extracting #5: cost 183 inf + 10512 26.719 * * [simplify]: Extracting #6: cost 73 inf + 71184 26.752 * * [simplify]: Extracting #7: cost 0 inf + 131381 26.791 * * [simplify]: Extracting #8: cost 0 inf + 129574 26.825 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 26.825 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 26.825 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 26.825 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 26.825 * * [simplify]: iters left: 6 (10 enodes) 26.831 * * [simplify]: iters left: 5 (41 enodes) 26.846 * * [simplify]: iters left: 4 (68 enodes) 26.868 * * [simplify]: iters left: 3 (111 enodes) 26.908 * * [simplify]: iters left: 2 (208 enodes) 26.970 * * [simplify]: iters left: 1 (454 enodes) 27.180 * * [simplify]: Extracting #0: cost 1 inf + 0 27.180 * * [simplify]: Extracting #1: cost 44 inf + 0 27.181 * * [simplify]: Extracting #2: cost 150 inf + 0 27.182 * * [simplify]: Extracting #3: cost 229 inf + 4 27.185 * * [simplify]: Extracting #4: cost 232 inf + 888 27.191 * * [simplify]: Extracting #5: cost 161 inf + 14538 27.212 * * [simplify]: Extracting #6: cost 54 inf + 77463 27.242 * * [simplify]: Extracting #7: cost 0 inf + 123615 27.273 * * [simplify]: Extracting #8: cost 0 inf + 121772 27.304 * * [simplify]: Extracting #9: cost 0 inf + 121731 27.320 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 27.320 * [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))))) 27.320 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 27.321 * * [simplify]: iters left: 6 (11 enodes) 27.324 * * [simplify]: iters left: 5 (45 enodes) 27.332 * * [simplify]: iters left: 4 (68 enodes) 27.350 * * [simplify]: iters left: 3 (112 enodes) 27.389 * * [simplify]: iters left: 2 (229 enodes) 27.460 * * [simplify]: iters left: 1 (485 enodes) 27.691 * * [simplify]: Extracting #0: cost 1 inf + 0 27.692 * * [simplify]: Extracting #1: cost 52 inf + 0 27.692 * * [simplify]: Extracting #2: cost 168 inf + 0 27.693 * * [simplify]: Extracting #3: cost 259 inf + 3 27.694 * * [simplify]: Extracting #4: cost 262 inf + 888 27.698 * * [simplify]: Extracting #5: cost 187 inf + 13529 27.718 * * [simplify]: Extracting #6: cost 41 inf + 103437 27.760 * * [simplify]: Extracting #7: cost 0 inf + 138756 27.797 * * [simplify]: Extracting #8: cost 0 inf + 137976 27.821 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 27.821 * [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))))) 27.821 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 27.821 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 27.821 * * [simplify]: iters left: 6 (8 enodes) 27.824 * * [simplify]: iters left: 5 (33 enodes) 27.830 * * [simplify]: iters left: 4 (56 enodes) 27.841 * * [simplify]: iters left: 3 (104 enodes) 27.865 * * [simplify]: iters left: 2 (223 enodes) 27.940 * * [simplify]: Extracting #0: cost 1 inf + 0 27.940 * * [simplify]: Extracting #1: cost 32 inf + 0 27.941 * * [simplify]: Extracting #2: cost 98 inf + 3 27.942 * * [simplify]: Extracting #3: cost 138 inf + 7 27.943 * * [simplify]: Extracting #4: cost 132 inf + 1182 27.948 * * [simplify]: Extracting #5: cost 59 inf + 19446 27.959 * * [simplify]: Extracting #6: cost 1 inf + 50160 27.966 * * [simplify]: Extracting #7: cost 0 inf + 50164 27.972 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 27.973 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 27.973 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 27.973 * * [simplify]: iters left: 6 (10 enodes) 27.976 * * [simplify]: iters left: 5 (42 enodes) 27.984 * * [simplify]: iters left: 4 (65 enodes) 28.003 * * [simplify]: iters left: 3 (106 enodes) 28.025 * * [simplify]: iters left: 2 (218 enodes) 28.106 * * [simplify]: iters left: 1 (465 enodes) 28.365 * * [simplify]: Extracting #0: cost 1 inf + 0 28.365 * * [simplify]: Extracting #1: cost 54 inf + 0 28.365 * * [simplify]: Extracting #2: cost 159 inf + 0 28.366 * * [simplify]: Extracting #3: cost 239 inf + 45 28.368 * * [simplify]: Extracting #4: cost 239 inf + 847 28.370 * * [simplify]: Extracting #5: cost 183 inf + 10512 28.393 * * [simplify]: Extracting #6: cost 73 inf + 71184 28.416 * * [simplify]: Extracting #7: cost 0 inf + 131381 28.434 * * [simplify]: Extracting #8: cost 0 inf + 129574 28.469 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 28.469 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 28.469 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 28.470 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 28.470 * * [simplify]: iters left: 6 (16 enodes) 28.479 * * [simplify]: iters left: 5 (69 enodes) 28.503 * * [simplify]: iters left: 4 (117 enodes) 28.543 * * [simplify]: iters left: 3 (166 enodes) 28.595 * * [simplify]: iters left: 2 (250 enodes) 28.642 * * [simplify]: iters left: 1 (419 enodes) 28.801 * * [simplify]: Extracting #0: cost 1 inf + 0 28.801 * * [simplify]: Extracting #1: cost 11 inf + 0 28.801 * * [simplify]: Extracting #2: cost 22 inf + 0 28.801 * * [simplify]: Extracting #3: cost 51 inf + 0 28.802 * * [simplify]: Extracting #4: cost 125 inf + 2 28.804 * * [simplify]: Extracting #5: cost 159 inf + 1492 28.812 * * [simplify]: Extracting #6: cost 108 inf + 11221 28.824 * * [simplify]: Extracting #7: cost 30 inf + 45351 28.835 * * [simplify]: Extracting #8: cost 1 inf + 70800 28.846 * * [simplify]: Extracting #9: cost 0 inf + 71415 28.857 * [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)))) 28.857 * [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))))) 28.857 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 28.857 * * [simplify]: iters left: 6 (14 enodes) 28.864 * * [simplify]: iters left: 5 (57 enodes) 28.883 * * [simplify]: iters left: 4 (90 enodes) 28.912 * * [simplify]: iters left: 3 (129 enodes) 28.957 * * [simplify]: iters left: 2 (209 enodes) 29.033 * * [simplify]: iters left: 1 (388 enodes) 29.219 * * [simplify]: Extracting #0: cost 1 inf + 0 29.219 * * [simplify]: Extracting #1: cost 4 inf + 0 29.219 * * [simplify]: Extracting #2: cost 8 inf + 0 29.219 * * [simplify]: Extracting #3: cost 37 inf + 0 29.220 * * [simplify]: Extracting #4: cost 114 inf + 164 29.221 * * [simplify]: Extracting #5: cost 156 inf + 751 29.225 * * [simplify]: Extracting #6: cost 108 inf + 7624 29.238 * * [simplify]: Extracting #7: cost 35 inf + 40139 29.258 * * [simplify]: Extracting #8: cost 0 inf + 70356 29.279 * * [simplify]: Extracting #9: cost 0 inf + 69503 29.296 * * [simplify]: Extracting #10: cost 0 inf + 69251 29.310 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 29.310 * [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))))) 29.310 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 29.310 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 29.310 * * [simplify]: iters left: 6 (16 enodes) 29.315 * * [simplify]: iters left: 5 (66 enodes) 29.326 * * [simplify]: iters left: 4 (103 enodes) 29.354 * * [simplify]: iters left: 3 (144 enodes) 29.400 * * [simplify]: iters left: 2 (224 enodes) 29.460 * * [simplify]: iters left: 1 (400 enodes) 29.605 * * [simplify]: Extracting #0: cost 1 inf + 0 29.605 * * [simplify]: Extracting #1: cost 7 inf + 0 29.605 * * [simplify]: Extracting #2: cost 15 inf + 0 29.605 * * [simplify]: Extracting #3: cost 46 inf + 0 29.605 * * [simplify]: Extracting #4: cost 118 inf + 204 29.606 * * [simplify]: Extracting #5: cost 157 inf + 990 29.609 * * [simplify]: Extracting #6: cost 125 inf + 4999 29.615 * * [simplify]: Extracting #7: cost 75 inf + 14309 29.629 * * [simplify]: Extracting #8: cost 22 inf + 47877 29.650 * * [simplify]: Extracting #9: cost 0 inf + 65438 29.673 * * [simplify]: Extracting #10: cost 0 inf + 65085 29.695 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 29.695 * [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))))) 29.696 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 29.696 * * [simplify]: iters left: 6 (14 enodes) 29.704 * * [simplify]: iters left: 5 (57 enodes) 29.723 * * [simplify]: iters left: 4 (90 enodes) 29.754 * * [simplify]: iters left: 3 (129 enodes) 29.798 * * [simplify]: iters left: 2 (209 enodes) 29.875 * * [simplify]: iters left: 1 (388 enodes) 30.083 * * [simplify]: Extracting #0: cost 1 inf + 0 30.083 * * [simplify]: Extracting #1: cost 4 inf + 0 30.083 * * [simplify]: Extracting #2: cost 8 inf + 0 30.083 * * [simplify]: Extracting #3: cost 37 inf + 0 30.083 * * [simplify]: Extracting #4: cost 114 inf + 204 30.084 * * [simplify]: Extracting #5: cost 156 inf + 831 30.086 * * [simplify]: Extracting #6: cost 108 inf + 7704 30.092 * * [simplify]: Extracting #7: cost 35 inf + 40219 30.102 * * [simplify]: Extracting #8: cost 0 inf + 70436 30.115 * * [simplify]: Extracting #9: cost 0 inf + 69583 30.135 * * [simplify]: Extracting #10: cost 0 inf + 69331 30.149 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 30.149 * [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))))) 30.149 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 30.149 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 30.150 * * [simplify]: iters left: 6 (15 enodes) 30.154 * * [simplify]: iters left: 5 (62 enodes) 30.164 * * [simplify]: iters left: 4 (99 enodes) 30.182 * * [simplify]: iters left: 3 (144 enodes) 30.589 * * [simplify]: iters left: 2 (229 enodes) 30.670 * * [simplify]: iters left: 1 (404 enodes) 30.840 * * [simplify]: Extracting #0: cost 1 inf + 0 30.840 * * [simplify]: Extracting #1: cost 7 inf + 0 30.840 * * [simplify]: Extracting #2: cost 14 inf + 0 30.840 * * [simplify]: Extracting #3: cost 44 inf + 0 30.840 * * [simplify]: Extracting #4: cost 120 inf + 165 30.841 * * [simplify]: Extracting #5: cost 164 inf + 630 30.844 * * [simplify]: Extracting #6: cost 103 inf + 14197 30.854 * * [simplify]: Extracting #7: cost 10 inf + 59735 30.872 * * [simplify]: Extracting #8: cost 0 inf + 63147 30.902 * * [simplify]: Extracting #9: cost 0 inf + 62887 30.937 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 30.937 * [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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 30.938 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 30.938 * * [simplify]: iters left: 6 (14 enodes) 30.946 * * [simplify]: iters left: 5 (57 enodes) 30.966 * * [simplify]: iters left: 4 (90 enodes) 30.995 * * [simplify]: iters left: 3 (129 enodes) 31.038 * * [simplify]: iters left: 2 (209 enodes) 31.120 * * [simplify]: iters left: 1 (388 enodes) 31.271 * * [simplify]: Extracting #0: cost 1 inf + 0 31.271 * * [simplify]: Extracting #1: cost 4 inf + 0 31.271 * * [simplify]: Extracting #2: cost 8 inf + 0 31.271 * * [simplify]: Extracting #3: cost 37 inf + 0 31.272 * * [simplify]: Extracting #4: cost 114 inf + 124 31.273 * * [simplify]: Extracting #5: cost 156 inf + 671 31.277 * * [simplify]: Extracting #6: cost 108 inf + 7544 31.289 * * [simplify]: Extracting #7: cost 35 inf + 39979 31.309 * * [simplify]: Extracting #8: cost 0 inf + 70196 31.330 * * [simplify]: Extracting #9: cost 0 inf + 69343 31.350 * * [simplify]: Extracting #10: cost 0 inf + 69091 31.371 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 31.371 * [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))))) 31.371 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 31.371 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 31.372 * * [simplify]: iters left: 6 (14 enodes) 31.380 * * [simplify]: iters left: 5 (59 enodes) 31.400 * * [simplify]: iters left: 4 (96 enodes) 31.432 * * [simplify]: iters left: 3 (138 enodes) 31.475 * * [simplify]: iters left: 2 (219 enodes) 31.549 * * [simplify]: iters left: 1 (402 enodes) 31.697 * * [simplify]: Extracting #0: cost 1 inf + 0 31.697 * * [simplify]: Extracting #1: cost 5 inf + 0 31.697 * * [simplify]: Extracting #2: cost 7 inf + 1 31.697 * * [simplify]: Extracting #3: cost 35 inf + 1 31.698 * * [simplify]: Extracting #4: cost 109 inf + 2 31.698 * * [simplify]: Extracting #5: cost 168 inf + 218 31.699 * * [simplify]: Extracting #6: cost 171 inf + 478 31.702 * * [simplify]: Extracting #7: cost 108 inf + 7484 31.712 * * [simplify]: Extracting #8: cost 36 inf + 34754 31.736 * * [simplify]: Extracting #9: cost 3 inf + 63813 31.758 * * [simplify]: Extracting #10: cost 0 inf + 65844 31.779 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 31.779 * [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)))) 31.780 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 31.780 * * [simplify]: iters left: 6 (13 enodes) 31.787 * * [simplify]: iters left: 5 (54 enodes) 31.805 * * [simplify]: iters left: 4 (87 enodes) 31.826 * * [simplify]: iters left: 3 (130 enodes) 31.847 * * [simplify]: iters left: 2 (211 enodes) 31.927 * * [simplify]: iters left: 1 (391 enodes) 32.142 * * [simplify]: Extracting #0: cost 1 inf + 0 32.142 * * [simplify]: Extracting #1: cost 4 inf + 0 32.142 * * [simplify]: Extracting #2: cost 8 inf + 0 32.142 * * [simplify]: Extracting #3: cost 31 inf + 83 32.142 * * [simplify]: Extracting #4: cost 111 inf + 84 32.143 * * [simplify]: Extracting #5: cost 159 inf + 384 32.144 * * [simplify]: Extracting #6: cost 115 inf + 6097 32.151 * * [simplify]: Extracting #7: cost 28 inf + 43760 32.162 * * [simplify]: Extracting #8: cost 0 inf + 63947 32.176 * * [simplify]: Extracting #9: cost 0 inf + 63744 32.197 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 32.197 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 32.197 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 32.198 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 32.198 * * [simplify]: iters left: 6 (15 enodes) 32.206 * * [simplify]: iters left: 5 (62 enodes) 32.230 * * [simplify]: iters left: 4 (99 enodes) 32.261 * * [simplify]: iters left: 3 (144 enodes) 32.307 * * [simplify]: iters left: 2 (229 enodes) 32.391 * * [simplify]: iters left: 1 (404 enodes) 32.566 * * [simplify]: Extracting #0: cost 1 inf + 0 32.566 * * [simplify]: Extracting #1: cost 7 inf + 0 32.566 * * [simplify]: Extracting #2: cost 14 inf + 0 32.566 * * [simplify]: Extracting #3: cost 44 inf + 0 32.566 * * [simplify]: Extracting #4: cost 120 inf + 165 32.570 * * [simplify]: Extracting #5: cost 164 inf + 630 32.575 * * [simplify]: Extracting #6: cost 103 inf + 14197 32.596 * * [simplify]: Extracting #7: cost 10 inf + 59735 32.625 * * [simplify]: Extracting #8: cost 0 inf + 63147 32.655 * * [simplify]: Extracting #9: cost 0 inf + 62887 32.685 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 32.685 * [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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 32.685 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 32.685 * * [simplify]: iters left: 6 (14 enodes) 32.693 * * [simplify]: iters left: 5 (57 enodes) 32.713 * * [simplify]: iters left: 4 (90 enodes) 32.741 * * [simplify]: iters left: 3 (129 enodes) 32.771 * * [simplify]: iters left: 2 (209 enodes) 32.811 * * [simplify]: iters left: 1 (388 enodes) 32.956 * * [simplify]: Extracting #0: cost 1 inf + 0 32.956 * * [simplify]: Extracting #1: cost 4 inf + 0 32.956 * * [simplify]: Extracting #2: cost 8 inf + 0 32.956 * * [simplify]: Extracting #3: cost 37 inf + 0 32.957 * * [simplify]: Extracting #4: cost 114 inf + 124 32.958 * * [simplify]: Extracting #5: cost 156 inf + 671 32.961 * * [simplify]: Extracting #6: cost 108 inf + 7544 32.974 * * [simplify]: Extracting #7: cost 35 inf + 39979 32.994 * * [simplify]: Extracting #8: cost 0 inf + 70196 33.007 * * [simplify]: Extracting #9: cost 0 inf + 69343 33.020 * * [simplify]: Extracting #10: cost 0 inf + 69091 33.034 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 33.034 * [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))))) 33.035 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 33.035 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 33.035 * * [simplify]: iters left: 6 (13 enodes) 33.043 * * [simplify]: iters left: 5 (54 enodes) 33.063 * * [simplify]: iters left: 4 (95 enodes) 33.092 * * [simplify]: iters left: 3 (139 enodes) 33.137 * * [simplify]: iters left: 2 (220 enodes) 33.207 * * [simplify]: iters left: 1 (398 enodes) 33.359 * * [simplify]: Extracting #0: cost 1 inf + 0 33.360 * * [simplify]: Extracting #1: cost 5 inf + 0 33.360 * * [simplify]: Extracting #2: cost 7 inf + 1 33.360 * * [simplify]: Extracting #3: cost 36 inf + 1 33.360 * * [simplify]: Extracting #4: cost 116 inf + 2 33.361 * * [simplify]: Extracting #5: cost 176 inf + 176 33.362 * * [simplify]: Extracting #6: cost 149 inf + 4286 33.366 * * [simplify]: Extracting #7: cost 55 inf + 26926 33.375 * * [simplify]: Extracting #8: cost 10 inf + 59882 33.386 * * [simplify]: Extracting #9: cost 0 inf + 67997 33.401 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 33.401 * [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)))) 33.402 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 33.402 * * [simplify]: iters left: 6 (13 enodes) 33.410 * * [simplify]: iters left: 5 (54 enodes) 33.425 * * [simplify]: iters left: 4 (87 enodes) 33.443 * * [simplify]: iters left: 3 (130 enodes) 33.472 * * [simplify]: iters left: 2 (211 enodes) 33.524 * * [simplify]: iters left: 1 (391 enodes) 33.699 * * [simplify]: Extracting #0: cost 1 inf + 0 33.699 * * [simplify]: Extracting #1: cost 4 inf + 0 33.699 * * [simplify]: Extracting #2: cost 8 inf + 0 33.699 * * [simplify]: Extracting #3: cost 31 inf + 83 33.700 * * [simplify]: Extracting #4: cost 111 inf + 84 33.700 * * [simplify]: Extracting #5: cost 159 inf + 384 33.702 * * [simplify]: Extracting #6: cost 115 inf + 6097 33.709 * * [simplify]: Extracting #7: cost 28 inf + 43760 33.729 * * [simplify]: Extracting #8: cost 0 inf + 63947 33.752 * * [simplify]: Extracting #9: cost 0 inf + 63744 33.763 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 33.763 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 33.763 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 33.763 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.764 * * [simplify]: iters left: 6 (15 enodes) 33.768 * * [simplify]: iters left: 5 (62 enodes) 33.779 * * [simplify]: iters left: 4 (98 enodes) 33.801 * * [simplify]: iters left: 3 (136 enodes) 33.846 * * [simplify]: iters left: 2 (216 enodes) 33.926 * * [simplify]: iters left: 1 (397 enodes) 34.067 * * [simplify]: Extracting #0: cost 1 inf + 0 34.067 * * [simplify]: Extracting #1: cost 6 inf + 0 34.067 * * [simplify]: Extracting #2: cost 13 inf + 0 34.067 * * [simplify]: Extracting #3: cost 49 inf + 0 34.068 * * [simplify]: Extracting #4: cost 135 inf + 2 34.068 * * [simplify]: Extracting #5: cost 169 inf + 1450 34.071 * * [simplify]: Extracting #6: cost 113 inf + 10516 34.077 * * [simplify]: Extracting #7: cost 33 inf + 42135 34.097 * * [simplify]: Extracting #8: cost 0 inf + 71605 34.118 * * [simplify]: Extracting #9: cost 0 inf + 70150 34.138 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 34.138 * [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))))) 34.139 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 34.139 * * [simplify]: iters left: 6 (14 enodes) 34.146 * * [simplify]: iters left: 5 (57 enodes) 34.169 * * [simplify]: iters left: 4 (91 enodes) 34.190 * * [simplify]: iters left: 3 (129 enodes) 34.211 * * [simplify]: iters left: 2 (209 enodes) 34.263 * * [simplify]: iters left: 1 (391 enodes) 34.422 * * [simplify]: Extracting #0: cost 1 inf + 0 34.422 * * [simplify]: Extracting #1: cost 4 inf + 0 34.422 * * [simplify]: Extracting #2: cost 9 inf + 0 34.423 * * [simplify]: Extracting #3: cost 45 inf + 0 34.423 * * [simplify]: Extracting #4: cost 130 inf + 164 34.425 * * [simplify]: Extracting #5: cost 152 inf + 2161 34.430 * * [simplify]: Extracting #6: cost 90 inf + 13844 34.443 * * [simplify]: Extracting #7: cost 32 inf + 43786 34.468 * * [simplify]: Extracting #8: cost 0 inf + 71295 34.483 * * [simplify]: Extracting #9: cost 0 inf + 69573 34.497 * * [simplify]: Extracting #10: cost 0 inf + 67529 34.510 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 34.510 * [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) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 34.510 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 34.510 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 34.510 * * [simplify]: iters left: 6 (15 enodes) 34.514 * * [simplify]: iters left: 5 (61 enodes) 34.525 * * [simplify]: iters left: 4 (95 enodes) 34.539 * * [simplify]: iters left: 3 (133 enodes) 34.585 * * [simplify]: iters left: 2 (213 enodes) 34.667 * * [simplify]: iters left: 1 (398 enodes) 34.876 * * [simplify]: Extracting #0: cost 1 inf + 0 34.876 * * [simplify]: Extracting #1: cost 4 inf + 0 34.876 * * [simplify]: Extracting #2: cost 10 inf + 0 34.876 * * [simplify]: Extracting #3: cost 46 inf + 0 34.877 * * [simplify]: Extracting #4: cost 130 inf + 285 34.878 * * [simplify]: Extracting #5: cost 163 inf + 1697 34.880 * * [simplify]: Extracting #6: cost 100 inf + 12127 34.886 * * [simplify]: Extracting #7: cost 39 inf + 34786 34.905 * * [simplify]: Extracting #8: cost 2 inf + 69009 34.918 * * [simplify]: Extracting #9: cost 0 inf + 69933 34.931 * * [simplify]: Extracting #10: cost 0 inf + 69454 34.941 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 34.942 * [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))))) 34.942 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 34.942 * * [simplify]: iters left: 6 (14 enodes) 34.946 * * [simplify]: iters left: 5 (57 enodes) 34.960 * * [simplify]: iters left: 4 (91 enodes) 34.987 * * [simplify]: iters left: 3 (129 enodes) 35.028 * * [simplify]: iters left: 2 (209 enodes) 35.080 * * [simplify]: iters left: 1 (391 enodes) 35.242 * * [simplify]: Extracting #0: cost 1 inf + 0 35.242 * * [simplify]: Extracting #1: cost 4 inf + 0 35.242 * * [simplify]: Extracting #2: cost 9 inf + 0 35.242 * * [simplify]: Extracting #3: cost 45 inf + 0 35.243 * * [simplify]: Extracting #4: cost 130 inf + 204 35.243 * * [simplify]: Extracting #5: cost 152 inf + 2241 35.246 * * [simplify]: Extracting #6: cost 90 inf + 13924 35.253 * * [simplify]: Extracting #7: cost 32 inf + 43866 35.264 * * [simplify]: Extracting #8: cost 0 inf + 71375 35.276 * * [simplify]: Extracting #9: cost 0 inf + 69653 35.299 * * [simplify]: Extracting #10: cost 0 inf + 67609 35.313 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 35.313 * [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) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 35.313 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 35.314 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 35.314 * * [simplify]: iters left: 6 (14 enodes) 35.318 * * [simplify]: iters left: 5 (57 enodes) 35.330 * * [simplify]: iters left: 4 (91 enodes) 35.358 * * [simplify]: iters left: 3 (129 enodes) 35.391 * * [simplify]: iters left: 2 (209 enodes) 35.454 * * [simplify]: iters left: 1 (391 enodes) 35.605 * * [simplify]: Extracting #0: cost 1 inf + 0 35.605 * * [simplify]: Extracting #1: cost 4 inf + 0 35.605 * * [simplify]: Extracting #2: cost 9 inf + 0 35.605 * * [simplify]: Extracting #3: cost 45 inf + 0 35.606 * * [simplify]: Extracting #4: cost 130 inf + 124 35.608 * * [simplify]: Extracting #5: cost 152 inf + 2081 35.613 * * [simplify]: Extracting #6: cost 90 inf + 13684 35.629 * * [simplify]: Extracting #7: cost 32 inf + 43626 35.639 * * [simplify]: Extracting #8: cost 0 inf + 71135 35.652 * * [simplify]: Extracting #9: cost 0 inf + 69413 35.674 * * [simplify]: Extracting #10: cost 0 inf + 67369 35.697 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 35.697 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 35.697 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 35.697 * * [simplify]: iters left: 6 (14 enodes) 35.701 * * [simplify]: iters left: 5 (57 enodes) 35.712 * * [simplify]: iters left: 4 (91 enodes) 35.728 * * [simplify]: iters left: 3 (129 enodes) 35.773 * * [simplify]: iters left: 2 (209 enodes) 35.852 * * [simplify]: iters left: 1 (391 enodes) 36.038 * * [simplify]: Extracting #0: cost 1 inf + 0 36.038 * * [simplify]: Extracting #1: cost 4 inf + 0 36.038 * * [simplify]: Extracting #2: cost 9 inf + 0 36.038 * * [simplify]: Extracting #3: cost 45 inf + 0 36.039 * * [simplify]: Extracting #4: cost 130 inf + 124 36.040 * * [simplify]: Extracting #5: cost 152 inf + 2081 36.042 * * [simplify]: Extracting #6: cost 90 inf + 13684 36.049 * * [simplify]: Extracting #7: cost 32 inf + 43626 36.060 * * [simplify]: Extracting #8: cost 0 inf + 71135 36.079 * * [simplify]: Extracting #9: cost 0 inf + 69413 36.096 * * [simplify]: Extracting #10: cost 0 inf + 67369 36.108 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 36.109 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 36.109 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 36.109 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 36.109 * * [simplify]: iters left: 6 (13 enodes) 36.114 * * [simplify]: iters left: 5 (54 enodes) 36.133 * * [simplify]: iters left: 4 (88 enodes) 36.152 * * [simplify]: iters left: 3 (129 enodes) 36.174 * * [simplify]: iters left: 2 (210 enodes) 36.250 * * [simplify]: iters left: 1 (396 enodes) 36.391 * * [simplify]: Extracting #0: cost 1 inf + 0 36.391 * * [simplify]: Extracting #1: cost 5 inf + 0 36.391 * * [simplify]: Extracting #2: cost 37 inf + 1 36.391 * * [simplify]: Extracting #3: cost 132 inf + 2 36.392 * * [simplify]: Extracting #4: cost 179 inf + 177 36.393 * * [simplify]: Extracting #5: cost 161 inf + 1755 36.396 * * [simplify]: Extracting #6: cost 82 inf + 12697 36.402 * * [simplify]: Extracting #7: cost 24 inf + 50034 36.415 * * [simplify]: Extracting #8: cost 0 inf + 71007 36.435 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 36.436 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 36.436 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 36.436 * * [simplify]: iters left: 6 (13 enodes) 36.443 * * [simplify]: iters left: 5 (54 enodes) 36.462 * * [simplify]: iters left: 4 (88 enodes) 36.481 * * [simplify]: iters left: 3 (127 enodes) 36.502 * * [simplify]: iters left: 2 (207 enodes) 36.557 * * [simplify]: iters left: 1 (391 enodes) 36.709 * * [simplify]: Extracting #0: cost 1 inf + 0 36.709 * * [simplify]: Extracting #1: cost 4 inf + 0 36.709 * * [simplify]: Extracting #2: cost 9 inf + 0 36.709 * * [simplify]: Extracting #3: cost 36 inf + 1 36.710 * * [simplify]: Extracting #4: cost 126 inf + 84 36.711 * * [simplify]: Extracting #5: cost 158 inf + 756 36.715 * * [simplify]: Extracting #6: cost 106 inf + 10983 36.722 * * [simplify]: Extracting #7: cost 23 inf + 48973 36.736 * * [simplify]: Extracting #8: cost 0 inf + 66568 36.748 * * [simplify]: Extracting #9: cost 0 inf + 65181 36.768 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 36.768 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 36.768 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 36.768 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 36.768 * * [simplify]: iters left: 6 (14 enodes) 36.777 * * [simplify]: iters left: 5 (57 enodes) 36.797 * * [simplify]: iters left: 4 (91 enodes) 36.826 * * [simplify]: iters left: 3 (129 enodes) 36.854 * * [simplify]: iters left: 2 (209 enodes) 36.931 * * [simplify]: iters left: 1 (391 enodes) 37.147 * * [simplify]: Extracting #0: cost 1 inf + 0 37.147 * * [simplify]: Extracting #1: cost 4 inf + 0 37.147 * * [simplify]: Extracting #2: cost 9 inf + 0 37.148 * * [simplify]: Extracting #3: cost 45 inf + 0 37.148 * * [simplify]: Extracting #4: cost 130 inf + 124 37.150 * * [simplify]: Extracting #5: cost 152 inf + 2081 37.155 * * [simplify]: Extracting #6: cost 90 inf + 13684 37.169 * * [simplify]: Extracting #7: cost 32 inf + 43626 37.190 * * [simplify]: Extracting #8: cost 0 inf + 71135 37.215 * * [simplify]: Extracting #9: cost 0 inf + 69413 37.239 * * [simplify]: Extracting #10: cost 0 inf + 67369 37.264 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 37.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 37.265 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 37.265 * * [simplify]: iters left: 6 (14 enodes) 37.273 * * [simplify]: iters left: 5 (57 enodes) 37.295 * * [simplify]: iters left: 4 (91 enodes) 37.323 * * [simplify]: iters left: 3 (129 enodes) 37.355 * * [simplify]: iters left: 2 (209 enodes) 37.407 * * [simplify]: iters left: 1 (391 enodes) 37.564 * * [simplify]: Extracting #0: cost 1 inf + 0 37.564 * * [simplify]: Extracting #1: cost 4 inf + 0 37.564 * * [simplify]: Extracting #2: cost 9 inf + 0 37.564 * * [simplify]: Extracting #3: cost 45 inf + 0 37.565 * * [simplify]: Extracting #4: cost 130 inf + 124 37.567 * * [simplify]: Extracting #5: cost 152 inf + 2081 37.572 * * [simplify]: Extracting #6: cost 90 inf + 13684 37.591 * * [simplify]: Extracting #7: cost 32 inf + 43626 37.613 * * [simplify]: Extracting #8: cost 0 inf + 71135 37.637 * * [simplify]: Extracting #9: cost 0 inf + 69413 37.662 * * [simplify]: Extracting #10: cost 0 inf + 67369 37.687 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 37.688 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 37.688 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 37.688 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 37.688 * * [simplify]: iters left: 6 (12 enodes) 37.696 * * [simplify]: iters left: 5 (49 enodes) 37.710 * * [simplify]: iters left: 4 (83 enodes) 37.724 * * [simplify]: iters left: 3 (128 enodes) 37.756 * * [simplify]: iters left: 2 (214 enodes) 37.803 * * [simplify]: iters left: 1 (396 enodes) 38.006 * * [simplify]: Extracting #0: cost 1 inf + 0 38.006 * * [simplify]: Extracting #1: cost 5 inf + 0 38.007 * * [simplify]: Extracting #2: cost 37 inf + 1 38.008 * * [simplify]: Extracting #3: cost 138 inf + 2 38.009 * * [simplify]: Extracting #4: cost 176 inf + 177 38.011 * * [simplify]: Extracting #5: cost 158 inf + 1758 38.017 * * [simplify]: Extracting #6: cost 75 inf + 23439 38.036 * * [simplify]: Extracting #7: cost 3 inf + 69089 38.062 * * [simplify]: Extracting #8: cost 0 inf + 70821 38.074 * * [simplify]: Extracting #9: cost 0 inf + 70600 38.085 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 38.085 * [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)))) 38.086 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 38.086 * * [simplify]: iters left: 6 (13 enodes) 38.090 * * [simplify]: iters left: 5 (54 enodes) 38.103 * * [simplify]: iters left: 4 (88 enodes) 38.131 * * [simplify]: iters left: 3 (127 enodes) 38.166 * * [simplify]: iters left: 2 (207 enodes) 38.219 * * [simplify]: iters left: 1 (391 enodes) 38.365 * * [simplify]: Extracting #0: cost 1 inf + 0 38.365 * * [simplify]: Extracting #1: cost 4 inf + 0 38.365 * * [simplify]: Extracting #2: cost 9 inf + 0 38.365 * * [simplify]: Extracting #3: cost 36 inf + 1 38.365 * * [simplify]: Extracting #4: cost 126 inf + 84 38.366 * * [simplify]: Extracting #5: cost 158 inf + 756 38.368 * * [simplify]: Extracting #6: cost 106 inf + 10983 38.380 * * [simplify]: Extracting #7: cost 23 inf + 48973 38.400 * * [simplify]: Extracting #8: cost 0 inf + 66568 38.411 * * [simplify]: Extracting #9: cost 0 inf + 65181 38.422 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 38.422 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 38.422 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 38.422 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 38.422 * * [simplify]: iters left: 6 (6 enodes) 38.424 * * [simplify]: iters left: 5 (22 enodes) 38.428 * * [simplify]: iters left: 4 (26 enodes) 38.433 * * [simplify]: Extracting #0: cost 1 inf + 0 38.433 * * [simplify]: Extracting #1: cost 6 inf + 0 38.434 * * [simplify]: Extracting #2: cost 9 inf + 1 38.434 * * [simplify]: Extracting #3: cost 11 inf + 1 38.434 * * [simplify]: Extracting #4: cost 8 inf + 84 38.434 * * [simplify]: Extracting #5: cost 2 inf + 1013 38.434 * * [simplify]: Extracting #6: cost 0 inf + 1376 38.435 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 38.435 * [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))))) 38.435 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 38.436 * * [simplify]: iters left: 6 (13 enodes) 38.447 * * [simplify]: iters left: 5 (54 enodes) 38.466 * * [simplify]: iters left: 4 (89 enodes) 38.493 * * [simplify]: iters left: 3 (138 enodes) 38.540 * * [simplify]: iters left: 2 (235 enodes) 38.608 * * [simplify]: iters left: 1 (482 enodes) 38.838 * * [simplify]: Extracting #0: cost 1 inf + 0 38.839 * * [simplify]: Extracting #1: cost 47 inf + 0 38.839 * * [simplify]: Extracting #2: cost 151 inf + 0 38.841 * * [simplify]: Extracting #3: cost 236 inf + 3 38.844 * * [simplify]: Extracting #4: cost 237 inf + 1170 38.851 * * [simplify]: Extracting #5: cost 145 inf + 22799 38.866 * * [simplify]: Extracting #6: cost 48 inf + 90997 38.896 * * [simplify]: Extracting #7: cost 0 inf + 135182 38.926 * * [simplify]: Extracting #8: cost 0 inf + 130350 38.946 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 38.946 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 38.946 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 38.946 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 38.946 * * [simplify]: iters left: 6 (6 enodes) 38.950 * * [simplify]: iters left: 5 (21 enodes) 38.956 * * [simplify]: iters left: 4 (23 enodes) 38.963 * * [simplify]: Extracting #0: cost 1 inf + 0 38.963 * * [simplify]: Extracting #1: cost 4 inf + 0 38.963 * * [simplify]: Extracting #2: cost 6 inf + 1 38.964 * * [simplify]: Extracting #3: cost 9 inf + 1 38.964 * * [simplify]: Extracting #4: cost 8 inf + 2 38.964 * * [simplify]: Extracting #5: cost 1 inf + 810 38.964 * * [simplify]: Extracting #6: cost 0 inf + 972 38.964 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 38.964 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 38.965 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 38.965 * * [simplify]: iters left: 6 (13 enodes) 38.973 * * [simplify]: iters left: 5 (54 enodes) 38.993 * * [simplify]: iters left: 4 (89 enodes) 39.022 * * [simplify]: iters left: 3 (138 enodes) 39.070 * * [simplify]: iters left: 2 (235 enodes) 39.164 * * [simplify]: iters left: 1 (482 enodes) 39.406 * * [simplify]: Extracting #0: cost 1 inf + 0 39.406 * * [simplify]: Extracting #1: cost 47 inf + 0 39.407 * * [simplify]: Extracting #2: cost 151 inf + 0 39.408 * * [simplify]: Extracting #3: cost 236 inf + 3 39.411 * * [simplify]: Extracting #4: cost 237 inf + 1210 39.416 * * [simplify]: Extracting #5: cost 145 inf + 22879 39.431 * * [simplify]: Extracting #6: cost 48 inf + 91077 39.453 * * [simplify]: Extracting #7: cost 0 inf + 135262 39.493 * * [simplify]: Extracting #8: cost 0 inf + 130430 39.532 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 39.532 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))))) 39.532 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 39.533 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 39.533 * * [simplify]: iters left: 4 (5 enodes) 39.535 * * [simplify]: iters left: 3 (17 enodes) 39.541 * * [simplify]: iters left: 2 (19 enodes) 39.547 * * [simplify]: Extracting #0: cost 1 inf + 0 39.547 * * [simplify]: Extracting #1: cost 4 inf + 0 39.547 * * [simplify]: Extracting #2: cost 5 inf + 1 39.547 * * [simplify]: Extracting #3: cost 7 inf + 1 39.547 * * [simplify]: Extracting #4: cost 0 inf + 490 39.547 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 39.547 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 39.548 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 39.548 * * [simplify]: iters left: 6 (13 enodes) 39.555 * * [simplify]: iters left: 5 (54 enodes) 39.576 * * [simplify]: iters left: 4 (89 enodes) 39.595 * * [simplify]: iters left: 3 (138 enodes) 39.619 * * [simplify]: iters left: 2 (235 enodes) 39.684 * * [simplify]: iters left: 1 (482 enodes) 39.892 * * [simplify]: Extracting #0: cost 1 inf + 0 39.892 * * [simplify]: Extracting #1: cost 47 inf + 0 39.893 * * [simplify]: Extracting #2: cost 151 inf + 0 39.893 * * [simplify]: Extracting #3: cost 236 inf + 3 39.894 * * [simplify]: Extracting #4: cost 237 inf + 1090 39.898 * * [simplify]: Extracting #5: cost 145 inf + 22239 39.913 * * [simplify]: Extracting #6: cost 48 inf + 88677 39.938 * * [simplify]: Extracting #7: cost 0 inf + 131862 39.965 * * [simplify]: Extracting #8: cost 0 inf + 127030 39.986 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 39.986 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 39.986 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 39.986 * [simplify]: Simplifying (/ 1 (sqrt 1)) 39.986 * * [simplify]: iters left: 3 (3 enodes) 39.993 * * [simplify]: iters left: 2 (11 enodes) 39.996 * * [simplify]: iters left: 1 (13 enodes) 39.999 * * [simplify]: Extracting #0: cost 1 inf + 0 39.999 * * [simplify]: Extracting #1: cost 0 inf + 1 39.999 * [simplify]: Simplified to 1 39.999 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 40.000 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 40.000 * * [simplify]: iters left: 6 (12 enodes) 40.006 * * [simplify]: iters left: 5 (51 enodes) 40.023 * * [simplify]: iters left: 4 (86 enodes) 40.053 * * [simplify]: iters left: 3 (135 enodes) 40.077 * * [simplify]: iters left: 2 (232 enodes) 40.125 * * [simplify]: iters left: 1 (483 enodes) 40.380 * * [simplify]: Extracting #0: cost 1 inf + 0 40.380 * * [simplify]: Extracting #1: cost 47 inf + 0 40.381 * * [simplify]: Extracting #2: cost 159 inf + 0 40.382 * * [simplify]: Extracting #3: cost 245 inf + 4 40.384 * * [simplify]: Extracting #4: cost 244 inf + 1302 40.387 * * [simplify]: Extracting #5: cost 169 inf + 14749 40.410 * * [simplify]: Extracting #6: cost 82 inf + 69034 40.436 * * [simplify]: Extracting #7: cost 3 inf + 137406 40.459 * * [simplify]: Extracting #8: cost 0 inf + 135814 40.488 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 40.488 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 40.488 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 40.488 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 40.488 * * [simplify]: iters left: 4 (5 enodes) 40.490 * * [simplify]: iters left: 3 (17 enodes) 40.493 * * [simplify]: iters left: 2 (19 enodes) 40.496 * * [simplify]: Extracting #0: cost 1 inf + 0 40.496 * * [simplify]: Extracting #1: cost 4 inf + 0 40.496 * * [simplify]: Extracting #2: cost 5 inf + 1 40.496 * * [simplify]: Extracting #3: cost 7 inf + 1 40.496 * * [simplify]: Extracting #4: cost 0 inf + 490 40.496 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 40.496 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 40.496 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 40.496 * * [simplify]: iters left: 6 (13 enodes) 40.500 * * [simplify]: iters left: 5 (54 enodes) 40.510 * * [simplify]: iters left: 4 (89 enodes) 40.526 * * [simplify]: iters left: 3 (138 enodes) 40.549 * * [simplify]: iters left: 2 (235 enodes) 40.624 * * [simplify]: iters left: 1 (482 enodes) 40.884 * * [simplify]: Extracting #0: cost 1 inf + 0 40.884 * * [simplify]: Extracting #1: cost 47 inf + 0 40.885 * * [simplify]: Extracting #2: cost 151 inf + 0 40.886 * * [simplify]: Extracting #3: cost 236 inf + 3 40.887 * * [simplify]: Extracting #4: cost 237 inf + 1090 40.891 * * [simplify]: Extracting #5: cost 145 inf + 22239 40.902 * * [simplify]: Extracting #6: cost 48 inf + 88677 40.938 * * [simplify]: Extracting #7: cost 0 inf + 131862 40.977 * * [simplify]: Extracting #8: cost 0 inf + 127030 41.015 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 41.015 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 41.015 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 41.016 * [simplify]: Simplifying (/ 1 1) 41.016 * * [simplify]: iters left: 2 (2 enodes) 41.017 * * [simplify]: iters left: 1 (6 enodes) 41.018 * * [simplify]: Extracting #0: cost 1 inf + 0 41.018 * * [simplify]: Extracting #1: cost 0 inf + 1 41.018 * [simplify]: Simplified to 1 41.018 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 41.018 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 41.018 * * [simplify]: iters left: 6 (12 enodes) 41.021 * * [simplify]: iters left: 5 (51 enodes) 41.030 * * [simplify]: iters left: 4 (86 enodes) 41.046 * * [simplify]: iters left: 3 (135 enodes) 41.069 * * [simplify]: iters left: 2 (232 enodes) 41.148 * * [simplify]: iters left: 1 (483 enodes) 41.392 * * [simplify]: Extracting #0: cost 1 inf + 0 41.392 * * [simplify]: Extracting #1: cost 47 inf + 0 41.393 * * [simplify]: Extracting #2: cost 159 inf + 0 41.395 * * [simplify]: Extracting #3: cost 245 inf + 4 41.397 * * [simplify]: Extracting #4: cost 244 inf + 1302 41.404 * * [simplify]: Extracting #5: cost 169 inf + 14749 41.424 * * [simplify]: Extracting #6: cost 82 inf + 69034 41.459 * * [simplify]: Extracting #7: cost 3 inf + 137406 41.487 * * [simplify]: Extracting #8: cost 0 inf + 135814 41.529 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 41.529 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 41.529 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 41.530 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.530 * * [simplify]: iters left: 6 (15 enodes) 41.539 * * [simplify]: iters left: 5 (65 enodes) 41.559 * * [simplify]: iters left: 4 (109 enodes) 41.579 * * [simplify]: iters left: 3 (188 enodes) 41.621 * * [simplify]: iters left: 2 (375 enodes) 41.773 * * [simplify]: Extracting #0: cost 1 inf + 0 41.773 * * [simplify]: Extracting #1: cost 55 inf + 0 41.774 * * [simplify]: Extracting #2: cost 146 inf + 0 41.775 * * [simplify]: Extracting #3: cost 227 inf + 2 41.778 * * [simplify]: Extracting #4: cost 220 inf + 2910 41.785 * * [simplify]: Extracting #5: cost 140 inf + 26174 41.812 * * [simplify]: Extracting #6: cost 38 inf + 94840 41.846 * * [simplify]: Extracting #7: cost 1 inf + 125673 41.881 * * [simplify]: Extracting #8: cost 0 inf + 126032 41.916 * * [simplify]: Extracting #9: cost 0 inf + 126030 41.945 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.945 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 41.945 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 41.945 * * [simplify]: iters left: 6 (14 enodes) 41.950 * * [simplify]: iters left: 5 (60 enodes) 41.962 * * [simplify]: iters left: 4 (98 enodes) 41.982 * * [simplify]: iters left: 3 (160 enodes) 42.040 * * [simplify]: iters left: 2 (297 enodes) 42.155 * * [simplify]: Extracting #0: cost 1 inf + 0 42.155 * * [simplify]: Extracting #1: cost 30 inf + 0 42.155 * * [simplify]: Extracting #2: cost 74 inf + 0 42.156 * * [simplify]: Extracting #3: cost 138 inf + 2 42.157 * * [simplify]: Extracting #4: cost 144 inf + 556 42.160 * * [simplify]: Extracting #5: cost 106 inf + 4987 42.167 * * [simplify]: Extracting #6: cost 39 inf + 33624 42.182 * * [simplify]: Extracting #7: cost 1 inf + 60246 42.198 * * [simplify]: Extracting #8: cost 0 inf + 60309 42.214 * * [simplify]: Extracting #9: cost 0 inf + 60047 42.233 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 42.233 * [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))))) 42.233 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 42.234 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 42.234 * * [simplify]: iters left: 6 (15 enodes) 42.243 * * [simplify]: iters left: 5 (64 enodes) 42.264 * * [simplify]: iters left: 4 (102 enodes) 42.294 * * [simplify]: iters left: 3 (164 enodes) 42.324 * * [simplify]: iters left: 2 (303 enodes) 42.403 * * [simplify]: Extracting #0: cost 1 inf + 0 42.404 * * [simplify]: Extracting #1: cost 30 inf + 0 42.404 * * [simplify]: Extracting #2: cost 74 inf + 0 42.404 * * [simplify]: Extracting #3: cost 142 inf + 2 42.405 * * [simplify]: Extracting #4: cost 149 inf + 849 42.407 * * [simplify]: Extracting #5: cost 88 inf + 13540 42.411 * * [simplify]: Extracting #6: cost 34 inf + 35918 42.419 * * [simplify]: Extracting #7: cost 0 inf + 59557 42.437 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 42.437 * [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))))) 42.437 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 42.438 * * [simplify]: iters left: 6 (14 enodes) 42.447 * * [simplify]: iters left: 5 (60 enodes) 42.467 * * [simplify]: iters left: 4 (98 enodes) 42.484 * * [simplify]: iters left: 3 (160 enodes) 42.533 * * [simplify]: iters left: 2 (297 enodes) 42.630 * * [simplify]: Extracting #0: cost 1 inf + 0 42.631 * * [simplify]: Extracting #1: cost 30 inf + 0 42.631 * * [simplify]: Extracting #2: cost 74 inf + 0 42.632 * * [simplify]: Extracting #3: cost 138 inf + 2 42.633 * * [simplify]: Extracting #4: cost 144 inf + 556 42.635 * * [simplify]: Extracting #5: cost 106 inf + 5067 42.639 * * [simplify]: Extracting #6: cost 39 inf + 33704 42.646 * * [simplify]: Extracting #7: cost 1 inf + 60326 42.656 * * [simplify]: Extracting #8: cost 0 inf + 60389 42.664 * * [simplify]: Extracting #9: cost 0 inf + 60127 42.674 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 42.674 * [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))))) 42.674 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 42.674 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 42.674 * * [simplify]: iters left: 6 (14 enodes) 42.679 * * [simplify]: iters left: 5 (60 enodes) 42.690 * * [simplify]: iters left: 4 (98 enodes) 42.707 * * [simplify]: iters left: 3 (160 enodes) 42.749 * * [simplify]: iters left: 2 (297 enodes) 42.825 * * [simplify]: Extracting #0: cost 1 inf + 0 42.825 * * [simplify]: Extracting #1: cost 30 inf + 0 42.826 * * [simplify]: Extracting #2: cost 74 inf + 0 42.826 * * [simplify]: Extracting #3: cost 138 inf + 2 42.827 * * [simplify]: Extracting #4: cost 144 inf + 556 42.828 * * [simplify]: Extracting #5: cost 106 inf + 4907 42.835 * * [simplify]: Extracting #6: cost 39 inf + 32944 42.842 * * [simplify]: Extracting #7: cost 1 inf + 58806 42.850 * * [simplify]: Extracting #8: cost 0 inf + 58829 42.866 * * [simplify]: Extracting #9: cost 0 inf + 58567 42.874 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 42.874 * [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))))) 42.874 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 42.874 * * [simplify]: iters left: 6 (14 enodes) 42.879 * * [simplify]: iters left: 5 (60 enodes) 42.889 * * [simplify]: iters left: 4 (98 enodes) 42.907 * * [simplify]: iters left: 3 (160 enodes) 42.940 * * [simplify]: iters left: 2 (297 enodes) 43.053 * * [simplify]: Extracting #0: cost 1 inf + 0 43.053 * * [simplify]: Extracting #1: cost 30 inf + 0 43.053 * * [simplify]: Extracting #2: cost 74 inf + 0 43.054 * * [simplify]: Extracting #3: cost 138 inf + 2 43.055 * * [simplify]: Extracting #4: cost 144 inf + 556 43.058 * * [simplify]: Extracting #5: cost 106 inf + 4907 43.066 * * [simplify]: Extracting #6: cost 39 inf + 32944 43.081 * * [simplify]: Extracting #7: cost 1 inf + 58806 43.096 * * [simplify]: Extracting #8: cost 0 inf + 58829 43.112 * * [simplify]: Extracting #9: cost 0 inf + 58567 43.128 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 43.128 * [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))))) 43.128 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 43.128 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 43.129 * * [simplify]: iters left: 6 (13 enodes) 43.138 * * [simplify]: iters left: 5 (57 enodes) 43.157 * * [simplify]: iters left: 4 (93 enodes) 43.189 * * [simplify]: iters left: 3 (153 enodes) 43.245 * * [simplify]: iters left: 2 (288 enodes) 43.332 * * [simplify]: Extracting #0: cost 1 inf + 0 43.332 * * [simplify]: Extracting #1: cost 26 inf + 0 43.332 * * [simplify]: Extracting #2: cost 88 inf + 2 43.333 * * [simplify]: Extracting #3: cost 135 inf + 9 43.334 * * [simplify]: Extracting #4: cost 128 inf + 971 43.338 * * [simplify]: Extracting #5: cost 60 inf + 9259 43.347 * * [simplify]: Extracting #6: cost 17 inf + 30170 43.360 * * [simplify]: Extracting #7: cost 0 inf + 43695 43.373 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 43.373 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 43.374 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 43.374 * * [simplify]: iters left: 6 (13 enodes) 43.382 * * [simplify]: iters left: 5 (57 enodes) 43.399 * * [simplify]: iters left: 4 (95 enodes) 43.416 * * [simplify]: iters left: 3 (157 enodes) 43.454 * * [simplify]: iters left: 2 (295 enodes) 43.554 * * [simplify]: Extracting #0: cost 1 inf + 0 43.555 * * [simplify]: Extracting #1: cost 30 inf + 0 43.555 * * [simplify]: Extracting #2: cost 71 inf + 0 43.555 * * [simplify]: Extracting #3: cost 134 inf + 3 43.556 * * [simplify]: Extracting #4: cost 132 inf + 1551 43.558 * * [simplify]: Extracting #5: cost 70 inf + 17264 43.565 * * [simplify]: Extracting #6: cost 7 inf + 47462 43.573 * * [simplify]: Extracting #7: cost 0 inf + 50096 43.581 * * [simplify]: Extracting #8: cost 0 inf + 50056 43.592 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 43.592 * [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)))) 43.593 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 43.593 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 43.593 * * [simplify]: iters left: 6 (14 enodes) 43.601 * * [simplify]: iters left: 5 (60 enodes) 43.622 * * [simplify]: iters left: 4 (98 enodes) 43.654 * * [simplify]: iters left: 3 (160 enodes) 43.716 * * [simplify]: iters left: 2 (297 enodes) 43.830 * * [simplify]: Extracting #0: cost 1 inf + 0 43.831 * * [simplify]: Extracting #1: cost 30 inf + 0 43.831 * * [simplify]: Extracting #2: cost 74 inf + 0 43.832 * * [simplify]: Extracting #3: cost 138 inf + 2 43.833 * * [simplify]: Extracting #4: cost 144 inf + 556 43.836 * * [simplify]: Extracting #5: cost 106 inf + 4907 43.843 * * [simplify]: Extracting #6: cost 39 inf + 32944 43.850 * * [simplify]: Extracting #7: cost 1 inf + 58806 43.858 * * [simplify]: Extracting #8: cost 0 inf + 58829 43.866 * * [simplify]: Extracting #9: cost 0 inf + 58567 43.878 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 43.878 * [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))))) 43.879 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 43.879 * * [simplify]: iters left: 6 (14 enodes) 43.887 * * [simplify]: iters left: 5 (60 enodes) 43.897 * * [simplify]: iters left: 4 (98 enodes) 43.916 * * [simplify]: iters left: 3 (160 enodes) 43.960 * * [simplify]: iters left: 2 (297 enodes) 44.049 * * [simplify]: Extracting #0: cost 1 inf + 0 44.049 * * [simplify]: Extracting #1: cost 30 inf + 0 44.049 * * [simplify]: Extracting #2: cost 74 inf + 0 44.050 * * [simplify]: Extracting #3: cost 138 inf + 2 44.051 * * [simplify]: Extracting #4: cost 144 inf + 556 44.054 * * [simplify]: Extracting #5: cost 106 inf + 4907 44.062 * * [simplify]: Extracting #6: cost 39 inf + 32944 44.077 * * [simplify]: Extracting #7: cost 1 inf + 58806 44.092 * * [simplify]: Extracting #8: cost 0 inf + 58829 44.108 * * [simplify]: Extracting #9: cost 0 inf + 58567 44.123 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 44.123 * [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))))) 44.123 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 44.124 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 44.124 * * [simplify]: iters left: 6 (12 enodes) 44.129 * * [simplify]: iters left: 5 (52 enodes) 44.141 * * [simplify]: iters left: 4 (90 enodes) 44.158 * * [simplify]: iters left: 3 (158 enodes) 44.194 * * [simplify]: iters left: 2 (296 enodes) 44.287 * * [simplify]: Extracting #0: cost 1 inf + 0 44.287 * * [simplify]: Extracting #1: cost 29 inf + 0 44.287 * * [simplify]: Extracting #2: cost 109 inf + 2 44.288 * * [simplify]: Extracting #3: cost 157 inf + 219 44.289 * * [simplify]: Extracting #4: cost 153 inf + 846 44.291 * * [simplify]: Extracting #5: cost 93 inf + 8062 44.299 * * [simplify]: Extracting #6: cost 42 inf + 29876 44.314 * * [simplify]: Extracting #7: cost 3 inf + 59415 44.332 * * [simplify]: Extracting #8: cost 0 inf + 61697 44.353 * * [simplify]: Extracting #9: cost 0 inf + 61574 44.370 * * [simplify]: Extracting #10: cost 0 inf + 61533 44.379 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 44.379 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 44.379 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 44.379 * * [simplify]: iters left: 6 (13 enodes) 44.383 * * [simplify]: iters left: 5 (57 enodes) 44.393 * * [simplify]: iters left: 4 (95 enodes) 44.410 * * [simplify]: iters left: 3 (157 enodes) 44.440 * * [simplify]: iters left: 2 (295 enodes) 44.513 * * [simplify]: Extracting #0: cost 1 inf + 0 44.513 * * [simplify]: Extracting #1: cost 30 inf + 0 44.513 * * [simplify]: Extracting #2: cost 71 inf + 0 44.513 * * [simplify]: Extracting #3: cost 134 inf + 3 44.514 * * [simplify]: Extracting #4: cost 132 inf + 1551 44.516 * * [simplify]: Extracting #5: cost 70 inf + 17264 44.526 * * [simplify]: Extracting #6: cost 7 inf + 47462 44.534 * * [simplify]: Extracting #7: cost 0 inf + 50096 44.542 * * [simplify]: Extracting #8: cost 0 inf + 50056 44.550 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 44.550 * [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)))) 44.551 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 44.551 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 44.551 * [simplify]: Simplifying (/ 1 (sqrt k)) 44.551 * * [simplify]: iters left: 3 (4 enodes) 44.552 * * [simplify]: iters left: 2 (14 enodes) 44.555 * * [simplify]: iters left: 1 (16 enodes) 44.557 * * [simplify]: Extracting #0: cost 1 inf + 0 44.557 * * [simplify]: Extracting #1: cost 4 inf + 0 44.557 * * [simplify]: Extracting #2: cost 5 inf + 1 44.557 * * [simplify]: Extracting #3: cost 3 inf + 43 44.557 * * [simplify]: Extracting #4: cost 1 inf + 166 44.557 * * [simplify]: Extracting #5: cost 0 inf + 248 44.557 * [simplify]: Simplified to (/ 1 (sqrt k)) 44.557 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 44.557 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 44.558 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 44.558 * * [simplify]: iters left: 6 (12 enodes) 44.561 * * [simplify]: iters left: 5 (51 enodes) 44.570 * * [simplify]: iters left: 4 (86 enodes) 44.584 * * [simplify]: iters left: 3 (133 enodes) 44.625 * * [simplify]: iters left: 2 (224 enodes) 44.682 * * [simplify]: iters left: 1 (420 enodes) 44.916 * * [simplify]: Extracting #0: cost 1 inf + 0 44.916 * * [simplify]: Extracting #1: cost 6 inf + 0 44.916 * * [simplify]: Extracting #2: cost 43 inf + 0 44.917 * * [simplify]: Extracting #3: cost 142 inf + 43 44.919 * * [simplify]: Extracting #4: cost 185 inf + 344 44.922 * * [simplify]: Extracting #5: cost 146 inf + 4684 44.931 * * [simplify]: Extracting #6: cost 63 inf + 32826 44.958 * * [simplify]: Extracting #7: cost 5 inf + 77530 44.969 * * [simplify]: Extracting #8: cost 0 inf + 81482 44.981 * * [simplify]: Extracting #9: cost 0 inf + 81059 45.000 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 45.000 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 45.000 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 45.001 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 45.001 * * [simplify]: iters left: 6 (14 enodes) 45.006 * * [simplify]: iters left: 5 (59 enodes) 45.017 * * [simplify]: iters left: 4 (100 enodes) 45.034 * * [simplify]: iters left: 3 (160 enodes) 45.084 * * [simplify]: iters left: 2 (302 enodes) 45.178 * * [simplify]: Extracting #0: cost 1 inf + 0 45.178 * * [simplify]: Extracting #1: cost 56 inf + 0 45.179 * * [simplify]: Extracting #2: cost 146 inf + 0 45.181 * * [simplify]: Extracting #3: cost 213 inf + 2 45.184 * * [simplify]: Extracting #4: cost 189 inf + 6669 45.202 * * [simplify]: Extracting #5: cost 62 inf + 72512 45.238 * * [simplify]: Extracting #6: cost 0 inf + 110758 45.274 * * [simplify]: Extracting #7: cost 0 inf + 109325 45.313 * * [simplify]: Extracting #8: cost 0 inf + 108663 45.338 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 45.339 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 45.339 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 45.339 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 45.339 * * [simplify]: iters left: 6 (14 enodes) 45.344 * * [simplify]: iters left: 5 (58 enodes) 45.354 * * [simplify]: iters left: 4 (93 enodes) 45.374 * * [simplify]: iters left: 3 (137 enodes) 45.417 * * [simplify]: iters left: 2 (233 enodes) 45.478 * * [simplify]: iters left: 1 (467 enodes) 45.673 * * [simplify]: Extracting #0: cost 1 inf + 0 45.674 * * [simplify]: Extracting #1: cost 58 inf + 0 45.675 * * [simplify]: Extracting #2: cost 165 inf + 0 45.681 * * [simplify]: Extracting #3: cost 236 inf + 3 45.684 * * [simplify]: Extracting #4: cost 228 inf + 3898 45.693 * * [simplify]: Extracting #5: cost 144 inf + 31486 45.728 * * [simplify]: Extracting #6: cost 14 inf + 137850 45.772 * * [simplify]: Extracting #7: cost 0 inf + 146876 45.808 * * [simplify]: Extracting #8: cost 0 inf + 145949 45.831 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 45.831 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k)))) 45.831 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 45.831 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 45.831 * * [simplify]: iters left: 6 (13 enodes) 45.836 * * [simplify]: iters left: 5 (54 enodes) 45.855 * * [simplify]: iters left: 4 (89 enodes) 45.874 * * [simplify]: iters left: 3 (138 enodes) 45.897 * * [simplify]: iters left: 2 (235 enodes) 45.981 * * [simplify]: iters left: 1 (482 enodes) 46.227 * * [simplify]: Extracting #0: cost 1 inf + 0 46.227 * * [simplify]: Extracting #1: cost 47 inf + 0 46.228 * * [simplify]: Extracting #2: cost 151 inf + 0 46.230 * * [simplify]: Extracting #3: cost 236 inf + 3 46.232 * * [simplify]: Extracting #4: cost 237 inf + 1090 46.241 * * [simplify]: Extracting #5: cost 145 inf + 22239 46.252 * * [simplify]: Extracting #6: cost 48 inf + 88677 46.276 * * [simplify]: Extracting #7: cost 0 inf + 131862 46.315 * * [simplify]: Extracting #8: cost 0 inf + 127030 46.347 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 46.347 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 46.347 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 46.347 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 46.347 * * [simplify]: iters left: 6 (12 enodes) 46.352 * * [simplify]: iters left: 5 (51 enodes) 46.362 * * [simplify]: iters left: 4 (84 enodes) 46.380 * * [simplify]: iters left: 3 (131 enodes) 46.424 * * [simplify]: iters left: 2 (224 enodes) 46.491 * * [simplify]: iters left: 1 (449 enodes) 46.753 * * [simplify]: Extracting #0: cost 1 inf + 0 46.754 * * [simplify]: Extracting #1: cost 62 inf + 0 46.755 * * [simplify]: Extracting #2: cost 171 inf + 2 46.756 * * [simplify]: Extracting #3: cost 231 inf + 259 46.759 * * [simplify]: Extracting #4: cost 218 inf + 1350 46.769 * * [simplify]: Extracting #5: cost 109 inf + 34987 46.799 * * [simplify]: Extracting #6: cost 18 inf + 92387 46.830 * * [simplify]: Extracting #7: cost 0 inf + 108295 46.862 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 46.862 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 46.862 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 46.863 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 46.863 * * [simplify]: iters left: 6 (13 enodes) 46.871 * * [simplify]: iters left: 5 (54 enodes) 46.888 * * [simplify]: iters left: 4 (89 enodes) 46.903 * * [simplify]: iters left: 3 (138 enodes) 46.937 * * [simplify]: iters left: 2 (235 enodes) 47.011 * * [simplify]: iters left: 1 (482 enodes) 47.205 * * [simplify]: Extracting #0: cost 1 inf + 0 47.205 * * [simplify]: Extracting #1: cost 47 inf + 0 47.206 * * [simplify]: Extracting #2: cost 151 inf + 0 47.207 * * [simplify]: Extracting #3: cost 236 inf + 3 47.209 * * [simplify]: Extracting #4: cost 237 inf + 1090 47.215 * * [simplify]: Extracting #5: cost 145 inf + 22239 47.228 * * [simplify]: Extracting #6: cost 48 inf + 88677 47.247 * * [simplify]: Extracting #7: cost 0 inf + 131862 47.291 * * [simplify]: Extracting #8: cost 0 inf + 127030 47.331 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 47.332 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 47.332 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 47.332 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 47.332 * * [simplify]: iters left: 6 (11 enodes) 47.337 * * [simplify]: iters left: 5 (46 enodes) 47.345 * * [simplify]: iters left: 4 (77 enodes) 47.358 * * [simplify]: iters left: 3 (131 enodes) 47.402 * * [simplify]: iters left: 2 (250 enodes) 47.467 * * [simplify]: Extracting #0: cost 1 inf + 0 47.467 * * [simplify]: Extracting #1: cost 31 inf + 0 47.467 * * [simplify]: Extracting #2: cost 106 inf + 2 47.468 * * [simplify]: Extracting #3: cost 143 inf + 217 47.468 * * [simplify]: Extracting #4: cost 138 inf + 805 47.469 * * [simplify]: Extracting #5: cost 102 inf + 4949 47.475 * * [simplify]: Extracting #6: cost 46 inf + 25766 47.488 * * [simplify]: Extracting #7: cost 4 inf + 54472 47.503 * * [simplify]: Extracting #8: cost 0 inf + 57219 47.515 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 47.515 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 47.515 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 47.515 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 47.515 * * [simplify]: iters left: 6 (10 enodes) 47.519 * * [simplify]: iters left: 5 (42 enodes) 47.526 * * [simplify]: iters left: 4 (65 enodes) 47.537 * * [simplify]: iters left: 3 (104 enodes) 47.563 * * [simplify]: iters left: 2 (206 enodes) 47.619 * * [simplify]: iters left: 1 (399 enodes) 47.774 * * [simplify]: Extracting #0: cost 1 inf + 0 47.774 * * [simplify]: Extracting #1: cost 6 inf + 0 47.774 * * [simplify]: Extracting #2: cost 45 inf + 0 47.774 * * [simplify]: Extracting #3: cost 135 inf + 84 47.775 * * [simplify]: Extracting #4: cost 184 inf + 1422 47.777 * * [simplify]: Extracting #5: cost 131 inf + 10060 47.784 * * [simplify]: Extracting #6: cost 42 inf + 47603 47.803 * * [simplify]: Extracting #7: cost 0 inf + 78607 47.825 * * [simplify]: Extracting #8: cost 0 inf + 76794 47.841 * * [simplify]: Extracting #9: cost 0 inf + 76381 47.852 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 47.852 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 47.852 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 47.852 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 47.853 * * [simplify]: iters left: 6 (13 enodes) 47.856 * * [simplify]: iters left: 5 (54 enodes) 47.868 * * [simplify]: iters left: 4 (87 enodes) 47.889 * * [simplify]: iters left: 3 (129 enodes) 47.912 * * [simplify]: iters left: 2 (210 enodes) 47.974 * * [simplify]: iters left: 1 (393 enodes) 48.128 * * [simplify]: Extracting #0: cost 1 inf + 0 48.128 * * [simplify]: Extracting #1: cost 4 inf + 0 48.128 * * [simplify]: Extracting #2: cost 8 inf + 0 48.128 * * [simplify]: Extracting #3: cost 33 inf + 1 48.129 * * [simplify]: Extracting #4: cost 113 inf + 43 48.130 * * [simplify]: Extracting #5: cost 161 inf + 301 48.133 * * [simplify]: Extracting #6: cost 120 inf + 6257 48.142 * * [simplify]: Extracting #7: cost 56 inf + 23489 48.160 * * [simplify]: Extracting #8: cost 6 inf + 58636 48.184 * * [simplify]: Extracting #9: cost 0 inf + 63414 48.205 * * [simplify]: Extracting #10: cost 0 inf + 62992 48.225 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 48.225 * [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 k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 48.225 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 48.226 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 48.226 * * [simplify]: iters left: 6 (13 enodes) 48.233 * * [simplify]: iters left: 5 (54 enodes) 48.252 * * [simplify]: iters left: 4 (88 enodes) 48.277 * * [simplify]: iters left: 3 (126 enodes) 48.300 * * [simplify]: iters left: 2 (206 enodes) 48.374 * * [simplify]: iters left: 1 (396 enodes) 48.530 * * [simplify]: Extracting #0: cost 1 inf + 0 48.530 * * [simplify]: Extracting #1: cost 4 inf + 0 48.530 * * [simplify]: Extracting #2: cost 9 inf + 0 48.530 * * [simplify]: Extracting #3: cost 39 inf + 1 48.531 * * [simplify]: Extracting #4: cost 129 inf + 43 48.531 * * [simplify]: Extracting #5: cost 157 inf + 592 48.533 * * [simplify]: Extracting #6: cost 110 inf + 7303 48.538 * * [simplify]: Extracting #7: cost 40 inf + 34465 48.548 * * [simplify]: Extracting #8: cost 0 inf + 66559 48.563 * * [simplify]: Extracting #9: cost 0 inf + 65126 48.584 * * [simplify]: Extracting #10: cost 0 inf + 64360 48.609 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 48.609 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 48.609 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 48.609 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 48.610 * * [simplify]: iters left: 6 (12 enodes) 48.617 * * [simplify]: iters left: 5 (51 enodes) 48.634 * * [simplify]: iters left: 4 (86 enodes) 48.659 * * [simplify]: iters left: 3 (133 enodes) 48.683 * * [simplify]: iters left: 2 (224 enodes) 48.743 * * [simplify]: iters left: 1 (420 enodes) 48.922 * * [simplify]: Extracting #0: cost 1 inf + 0 48.922 * * [simplify]: Extracting #1: cost 6 inf + 0 48.922 * * [simplify]: Extracting #2: cost 43 inf + 0 48.923 * * [simplify]: Extracting #3: cost 142 inf + 43 48.923 * * [simplify]: Extracting #4: cost 185 inf + 344 48.925 * * [simplify]: Extracting #5: cost 146 inf + 4684 48.929 * * [simplify]: Extracting #6: cost 63 inf + 32826 48.940 * * [simplify]: Extracting #7: cost 5 inf + 77530 48.953 * * [simplify]: Extracting #8: cost 0 inf + 81482 48.977 * * [simplify]: Extracting #9: cost 0 inf + 81059 49.005 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 49.005 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 49.006 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 49.006 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 49.006 * * [simplify]: iters left: 6 (13 enodes) 49.014 * * [simplify]: iters left: 5 (57 enodes) 49.034 * * [simplify]: iters left: 4 (95 enodes) 49.065 * * [simplify]: iters left: 3 (150 enodes) 49.092 * * [simplify]: iters left: 2 (262 enodes) 49.180 * * [simplify]: iters left: 1 (476 enodes) 49.397 * * [simplify]: Extracting #0: cost 1 inf + 0 49.398 * * [simplify]: Extracting #1: cost 6 inf + 0 49.398 * * [simplify]: Extracting #2: cost 41 inf + 0 49.399 * * [simplify]: Extracting #3: cost 143 inf + 84 49.400 * * [simplify]: Extracting #4: cost 201 inf + 677 49.406 * * [simplify]: Extracting #5: cost 129 inf + 15525 49.429 * * [simplify]: Extracting #6: cost 10 inf + 69324 49.467 * * [simplify]: Extracting #7: cost 0 inf + 72261 49.503 * * [simplify]: Extracting #8: cost 0 inf + 72171 49.538 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 49.538 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 49.538 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 49.538 * [simplify]: Simplifying (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))) 49.538 * * [simplify]: iters left: 6 (10 enodes) 49.543 * * [simplify]: iters left: 5 (38 enodes) 49.556 * * [simplify]: iters left: 4 (62 enodes) 49.576 * * [simplify]: iters left: 3 (104 enodes) 49.613 * * [simplify]: iters left: 2 (205 enodes) 49.684 * * [simplify]: iters left: 1 (485 enodes) 50.086 * * [simplify]: Extracting #0: cost 1 inf + 0 50.086 * * [simplify]: Extracting #1: cost 55 inf + 0 50.087 * * [simplify]: Extracting #2: cost 188 inf + 0 50.089 * * [simplify]: Extracting #3: cost 225 inf + 128 50.092 * * [simplify]: Extracting #4: cost 190 inf + 7089 50.105 * * [simplify]: Extracting #5: cost 103 inf + 56201 50.142 * * [simplify]: Extracting #6: cost 8 inf + 138344 50.165 * * [simplify]: Extracting #7: cost 0 inf + 143877 50.209 * * [simplify]: Extracting #8: cost 0 inf + 142880 50.256 * [simplify]: Simplified to (* (pow (* n (* 2 PI)) (* 1/2 k)) (sqrt k)) 50.256 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (pow (* n (* 2 PI)) (* 1/2 k)) (sqrt k)))) 50.257 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 50.257 * [simplify]: Simplifying (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 50.257 * * [simplify]: iters left: 6 (13 enodes) 50.264 * * [simplify]: iters left: 5 (51 enodes) 50.282 * * [simplify]: iters left: 4 (86 enodes) 50.312 * * [simplify]: iters left: 3 (131 enodes) 50.348 * * [simplify]: iters left: 2 (227 enodes) 50.402 * * [simplify]: iters left: 1 (479 enodes) 50.620 * * [simplify]: Extracting #0: cost 1 inf + 0 50.620 * * [simplify]: Extracting #1: cost 2 inf + 0 50.620 * * [simplify]: Extracting #2: cost 46 inf + 0 50.621 * * [simplify]: Extracting #3: cost 156 inf + 0 50.622 * * [simplify]: Extracting #4: cost 236 inf + 4 50.623 * * [simplify]: Extracting #5: cost 242 inf + 724 50.626 * * [simplify]: Extracting #6: cost 174 inf + 13750 50.648 * * [simplify]: Extracting #7: cost 55 inf + 85745 50.693 * * [simplify]: Extracting #8: cost 0 inf + 136633 50.732 * * [simplify]: Extracting #9: cost 0 inf + 133534 50.773 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 50.773 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 50.773 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 50.773 * [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))))) 50.774 * * [simplify]: iters left: 6 (37 enodes) 50.790 * * [simplify]: iters left: 5 (190 enodes) 50.850 * * [simplify]: Extracting #0: cost 1 inf + 0 50.850 * * [simplify]: Extracting #1: cost 22 inf + 0 50.850 * * [simplify]: Extracting #2: cost 108 inf + 1 50.851 * * [simplify]: Extracting #3: cost 171 inf + 46 50.853 * * [simplify]: Extracting #4: cost 189 inf + 427 50.857 * * [simplify]: Extracting #5: cost 128 inf + 16032 50.874 * * [simplify]: Extracting #6: cost 29 inf + 57153 50.903 * * [simplify]: Extracting #7: cost 4 inf + 75884 50.935 * * [simplify]: Extracting #8: cost 0 inf + 78767 50.972 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 50.972 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k))) 50.972 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 50.972 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 50.973 * * [simplify]: iters left: 6 (15 enodes) 50.982 * * [simplify]: iters left: 5 (65 enodes) 50.994 * * [simplify]: iters left: 4 (123 enodes) 51.032 * * [simplify]: iters left: 3 (368 enodes) 51.232 * * [simplify]: Extracting #0: cost 1 inf + 0 51.232 * * [simplify]: Extracting #1: cost 37 inf + 0 51.232 * * [simplify]: Extracting #2: cost 216 inf + 72 51.234 * * [simplify]: Extracting #3: cost 359 inf + 1294 51.238 * * [simplify]: Extracting #4: cost 227 inf + 27604 51.260 * * [simplify]: Extracting #5: cost 34 inf + 80469 51.285 * * [simplify]: Extracting #6: cost 0 inf + 90323 51.302 * * [simplify]: Extracting #7: cost 0 inf + 90139 51.335 * * [simplify]: Extracting #8: cost 0 inf + 90138 51.367 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 51.367 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 51.367 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 51.368 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 51.368 * * [simplify]: iters left: 6 (16 enodes) 51.377 * * [simplify]: iters left: 5 (67 enodes) 51.404 * * [simplify]: iters left: 4 (134 enodes) 51.460 * * [simplify]: iters left: 3 (413 enodes) 51.662 * * [simplify]: Extracting #0: cost 1 inf + 0 51.662 * * [simplify]: Extracting #1: cost 39 inf + 0 51.663 * * [simplify]: Extracting #2: cost 241 inf + 72 51.664 * * [simplify]: Extracting #3: cost 450 inf + 903 51.668 * * [simplify]: Extracting #4: cost 376 inf + 10375 51.686 * * [simplify]: Extracting #5: cost 157 inf + 67388 51.710 * * [simplify]: Extracting #6: cost 12 inf + 118840 51.742 * * [simplify]: Extracting #7: cost 0 inf + 121984 51.779 * * [simplify]: Extracting #8: cost 0 inf + 121983 51.824 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 51.824 * [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))) 51.824 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 51.825 * [simplify]: Simplifying (* 2 (* n PI)) 51.825 * * [simplify]: iters left: 4 (5 enodes) 51.828 * * [simplify]: iters left: 3 (19 enodes) 51.834 * * [simplify]: iters left: 2 (27 enodes) 51.843 * * [simplify]: iters left: 1 (32 enodes) 51.852 * * [simplify]: Extracting #0: cost 1 inf + 0 51.852 * * [simplify]: Extracting #1: cost 8 inf + 0 51.852 * * [simplify]: Extracting #2: cost 7 inf + 45 51.852 * * [simplify]: Extracting #3: cost 0 inf + 421 51.852 * [simplify]: Simplified to (* (* PI n) 2) 51.853 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 51.853 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 51.853 * [simplify]: Simplifying (* 2 (* n PI)) 51.853 * * [simplify]: iters left: 4 (5 enodes) 51.856 * * [simplify]: iters left: 3 (19 enodes) 51.863 * * [simplify]: iters left: 2 (27 enodes) 51.871 * * [simplify]: iters left: 1 (32 enodes) 51.879 * * [simplify]: Extracting #0: cost 1 inf + 0 51.879 * * [simplify]: Extracting #1: cost 8 inf + 0 51.879 * * [simplify]: Extracting #2: cost 7 inf + 45 51.880 * * [simplify]: Extracting #3: cost 0 inf + 421 51.880 * [simplify]: Simplified to (* (* PI n) 2) 51.880 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 51.880 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 51.880 * [simplify]: Simplifying (* 2 (* n PI)) 51.880 * * [simplify]: iters left: 4 (5 enodes) 51.883 * * [simplify]: iters left: 3 (19 enodes) 51.889 * * [simplify]: iters left: 2 (27 enodes) 51.899 * * [simplify]: iters left: 1 (32 enodes) 51.903 * * [simplify]: Extracting #0: cost 1 inf + 0 51.903 * * [simplify]: Extracting #1: cost 8 inf + 0 51.903 * * [simplify]: Extracting #2: cost 7 inf + 45 51.903 * * [simplify]: Extracting #3: cost 0 inf + 421 51.904 * [simplify]: Simplified to (* (* PI n) 2) 51.904 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 51.904 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 51.904 * [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)))))))))))))))))))))) 51.904 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.904 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 51.905 * [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)))))))) 51.905 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.905 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 51.905 * [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)))))))))))) 51.905 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.905 * * * [progress]: adding candidates to table 53.328 * * [progress]: iteration 2 / 4 53.328 * * * [progress]: picking best candidate 53.371 * * * * [pick]: Picked # 53.371 * * * [progress]: localizing error 53.419 * * * [progress]: generating rewritten candidates 53.420 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 53.457 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 53.467 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 53.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 53.530 * * * [progress]: generating series expansions 53.530 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 53.530 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 53.530 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 53.530 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.530 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.530 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.530 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.531 * [taylor]: Taking taylor expansion of 1/2 in k 53.531 * [backup-simplify]: Simplify 1/2 into 1/2 53.531 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.531 * [taylor]: Taking taylor expansion of 1 in k 53.531 * [backup-simplify]: Simplify 1 into 1 53.531 * [taylor]: Taking taylor expansion of k in k 53.531 * [backup-simplify]: Simplify 0 into 0 53.531 * [backup-simplify]: Simplify 1 into 1 53.531 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.531 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.531 * [taylor]: Taking taylor expansion of 2 in k 53.531 * [backup-simplify]: Simplify 2 into 2 53.531 * [taylor]: Taking taylor expansion of (* n PI) in k 53.531 * [taylor]: Taking taylor expansion of n in k 53.531 * [backup-simplify]: Simplify n into n 53.531 * [taylor]: Taking taylor expansion of PI in k 53.531 * [backup-simplify]: Simplify PI into PI 53.531 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.531 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.531 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.531 * [backup-simplify]: Simplify (- 0) into 0 53.531 * [backup-simplify]: Simplify (+ 1 0) into 1 53.532 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.532 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.532 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.532 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 53.532 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 53.532 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 53.532 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 53.532 * [taylor]: Taking taylor expansion of 1/2 in n 53.532 * [backup-simplify]: Simplify 1/2 into 1/2 53.532 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.532 * [taylor]: Taking taylor expansion of 1 in n 53.532 * [backup-simplify]: Simplify 1 into 1 53.532 * [taylor]: Taking taylor expansion of k in n 53.532 * [backup-simplify]: Simplify k into k 53.532 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.532 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.532 * [taylor]: Taking taylor expansion of 2 in n 53.532 * [backup-simplify]: Simplify 2 into 2 53.532 * [taylor]: Taking taylor expansion of (* n PI) in n 53.532 * [taylor]: Taking taylor expansion of n in n 53.532 * [backup-simplify]: Simplify 0 into 0 53.532 * [backup-simplify]: Simplify 1 into 1 53.532 * [taylor]: Taking taylor expansion of PI in n 53.532 * [backup-simplify]: Simplify PI into PI 53.532 * [backup-simplify]: Simplify (* 0 PI) into 0 53.533 * [backup-simplify]: Simplify (* 2 0) into 0 53.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.535 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.536 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.536 * [backup-simplify]: Simplify (- k) into (- k) 53.536 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.536 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 53.538 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.539 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.540 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.540 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 53.540 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 53.540 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 53.540 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 53.540 * [taylor]: Taking taylor expansion of 1/2 in n 53.540 * [backup-simplify]: Simplify 1/2 into 1/2 53.540 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.540 * [taylor]: Taking taylor expansion of 1 in n 53.540 * [backup-simplify]: Simplify 1 into 1 53.540 * [taylor]: Taking taylor expansion of k in n 53.540 * [backup-simplify]: Simplify k into k 53.540 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.540 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.540 * [taylor]: Taking taylor expansion of 2 in n 53.540 * [backup-simplify]: Simplify 2 into 2 53.540 * [taylor]: Taking taylor expansion of (* n PI) in n 53.540 * [taylor]: Taking taylor expansion of n in n 53.540 * [backup-simplify]: Simplify 0 into 0 53.540 * [backup-simplify]: Simplify 1 into 1 53.540 * [taylor]: Taking taylor expansion of PI in n 53.540 * [backup-simplify]: Simplify PI into PI 53.541 * [backup-simplify]: Simplify (* 0 PI) into 0 53.541 * [backup-simplify]: Simplify (* 2 0) into 0 53.543 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.544 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.545 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.545 * [backup-simplify]: Simplify (- k) into (- k) 53.545 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.545 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 53.547 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.548 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.549 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.549 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 53.549 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 53.549 * [taylor]: Taking taylor expansion of 1/2 in k 53.549 * [backup-simplify]: Simplify 1/2 into 1/2 53.549 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 53.549 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.549 * [taylor]: Taking taylor expansion of 1 in k 53.549 * [backup-simplify]: Simplify 1 into 1 53.549 * [taylor]: Taking taylor expansion of k in k 53.549 * [backup-simplify]: Simplify 0 into 0 53.549 * [backup-simplify]: Simplify 1 into 1 53.549 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 53.549 * [taylor]: Taking taylor expansion of (log n) in k 53.549 * [taylor]: Taking taylor expansion of n in k 53.549 * [backup-simplify]: Simplify n into n 53.549 * [backup-simplify]: Simplify (log n) into (log n) 53.549 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.549 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.549 * [taylor]: Taking taylor expansion of 2 in k 53.549 * [backup-simplify]: Simplify 2 into 2 53.549 * [taylor]: Taking taylor expansion of PI in k 53.549 * [backup-simplify]: Simplify PI into PI 53.550 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.551 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.551 * [backup-simplify]: Simplify (- 0) into 0 53.552 * [backup-simplify]: Simplify (+ 1 0) into 1 53.553 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.554 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 53.555 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 53.556 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 53.557 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 53.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.561 * [backup-simplify]: Simplify (- 0) into 0 53.561 * [backup-simplify]: Simplify (+ 0 0) into 0 53.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 53.563 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.564 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 53.566 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.566 * [taylor]: Taking taylor expansion of 0 in k 53.566 * [backup-simplify]: Simplify 0 into 0 53.566 * [backup-simplify]: Simplify 0 into 0 53.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 53.567 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.570 * [backup-simplify]: Simplify (+ 0 0) into 0 53.570 * [backup-simplify]: Simplify (- 1) into -1 53.570 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.572 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 53.574 * [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))))) 53.576 * [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))))))) 53.577 * [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))))))) 53.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 53.579 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 53.581 * [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 53.581 * [backup-simplify]: Simplify (- 0) into 0 53.581 * [backup-simplify]: Simplify (+ 0 0) into 0 53.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 53.583 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.584 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.585 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.585 * [taylor]: Taking taylor expansion of 0 in k 53.585 * [backup-simplify]: Simplify 0 into 0 53.585 * [backup-simplify]: Simplify 0 into 0 53.585 * [backup-simplify]: Simplify 0 into 0 53.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 53.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.589 * [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 53.589 * [backup-simplify]: Simplify (+ 0 0) into 0 53.589 * [backup-simplify]: Simplify (- 0) into 0 53.589 * [backup-simplify]: Simplify (+ 0 0) into 0 53.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.594 * [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))))) 53.597 * [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))))) 53.604 * [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))))) 53.605 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 53.605 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 53.605 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.605 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.605 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.605 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.605 * [taylor]: Taking taylor expansion of 1/2 in k 53.605 * [backup-simplify]: Simplify 1/2 into 1/2 53.605 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.605 * [taylor]: Taking taylor expansion of 1 in k 53.605 * [backup-simplify]: Simplify 1 into 1 53.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.605 * [taylor]: Taking taylor expansion of k in k 53.605 * [backup-simplify]: Simplify 0 into 0 53.605 * [backup-simplify]: Simplify 1 into 1 53.605 * [backup-simplify]: Simplify (/ 1 1) into 1 53.605 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.605 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.606 * [taylor]: Taking taylor expansion of 2 in k 53.606 * [backup-simplify]: Simplify 2 into 2 53.606 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.606 * [taylor]: Taking taylor expansion of PI in k 53.606 * [backup-simplify]: Simplify PI into PI 53.606 * [taylor]: Taking taylor expansion of n in k 53.606 * [backup-simplify]: Simplify n into n 53.606 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.606 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.606 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.606 * [backup-simplify]: Simplify (- 1) into -1 53.607 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.607 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 53.607 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 53.608 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.608 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 53.608 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.608 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.608 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 53.608 * [taylor]: Taking taylor expansion of 1/2 in n 53.608 * [backup-simplify]: Simplify 1/2 into 1/2 53.608 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.608 * [taylor]: Taking taylor expansion of 1 in n 53.608 * [backup-simplify]: Simplify 1 into 1 53.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.608 * [taylor]: Taking taylor expansion of k in n 53.608 * [backup-simplify]: Simplify k into k 53.608 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.608 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.608 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.608 * [taylor]: Taking taylor expansion of 2 in n 53.608 * [backup-simplify]: Simplify 2 into 2 53.608 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.608 * [taylor]: Taking taylor expansion of PI in n 53.608 * [backup-simplify]: Simplify PI into PI 53.608 * [taylor]: Taking taylor expansion of n in n 53.608 * [backup-simplify]: Simplify 0 into 0 53.608 * [backup-simplify]: Simplify 1 into 1 53.609 * [backup-simplify]: Simplify (/ PI 1) into PI 53.609 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.610 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.610 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.610 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.610 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 53.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.613 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.614 * [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))))) 53.614 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 53.614 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.614 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.614 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 53.614 * [taylor]: Taking taylor expansion of 1/2 in n 53.614 * [backup-simplify]: Simplify 1/2 into 1/2 53.614 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.614 * [taylor]: Taking taylor expansion of 1 in n 53.614 * [backup-simplify]: Simplify 1 into 1 53.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.614 * [taylor]: Taking taylor expansion of k in n 53.614 * [backup-simplify]: Simplify k into k 53.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.614 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.614 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.615 * [taylor]: Taking taylor expansion of 2 in n 53.615 * [backup-simplify]: Simplify 2 into 2 53.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.615 * [taylor]: Taking taylor expansion of PI in n 53.615 * [backup-simplify]: Simplify PI into PI 53.615 * [taylor]: Taking taylor expansion of n in n 53.615 * [backup-simplify]: Simplify 0 into 0 53.615 * [backup-simplify]: Simplify 1 into 1 53.615 * [backup-simplify]: Simplify (/ PI 1) into PI 53.616 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.617 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.617 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.617 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.617 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 53.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.619 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.620 * [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))))) 53.620 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 53.620 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 53.620 * [taylor]: Taking taylor expansion of 1/2 in k 53.620 * [backup-simplify]: Simplify 1/2 into 1/2 53.620 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 53.620 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.620 * [taylor]: Taking taylor expansion of 1 in k 53.620 * [backup-simplify]: Simplify 1 into 1 53.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.620 * [taylor]: Taking taylor expansion of k in k 53.620 * [backup-simplify]: Simplify 0 into 0 53.620 * [backup-simplify]: Simplify 1 into 1 53.620 * [backup-simplify]: Simplify (/ 1 1) into 1 53.620 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 53.620 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.620 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.620 * [taylor]: Taking taylor expansion of 2 in k 53.620 * [backup-simplify]: Simplify 2 into 2 53.620 * [taylor]: Taking taylor expansion of PI in k 53.620 * [backup-simplify]: Simplify PI into PI 53.621 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.621 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.621 * [taylor]: Taking taylor expansion of (log n) in k 53.621 * [taylor]: Taking taylor expansion of n in k 53.621 * [backup-simplify]: Simplify n into n 53.621 * [backup-simplify]: Simplify (log n) into (log n) 53.622 * [backup-simplify]: Simplify (- 1) into -1 53.622 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.622 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.622 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 53.623 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 53.624 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 53.624 * [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))))) 53.625 * [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))))) 53.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.626 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.627 * [backup-simplify]: Simplify (- 0) into 0 53.628 * [backup-simplify]: Simplify (+ 0 0) into 0 53.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 53.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.629 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 53.630 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.631 * [taylor]: Taking taylor expansion of 0 in k 53.631 * [backup-simplify]: Simplify 0 into 0 53.631 * [backup-simplify]: Simplify 0 into 0 53.631 * [backup-simplify]: Simplify 0 into 0 53.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.633 * [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 53.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.634 * [backup-simplify]: Simplify (- 0) into 0 53.634 * [backup-simplify]: Simplify (+ 0 0) into 0 53.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 53.639 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.641 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 53.642 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.642 * [taylor]: Taking taylor expansion of 0 in k 53.642 * [backup-simplify]: Simplify 0 into 0 53.642 * [backup-simplify]: Simplify 0 into 0 53.642 * [backup-simplify]: Simplify 0 into 0 53.642 * [backup-simplify]: Simplify 0 into 0 53.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.647 * [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 53.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.647 * [backup-simplify]: Simplify (- 0) into 0 53.647 * [backup-simplify]: Simplify (+ 0 0) into 0 53.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 53.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.650 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 53.653 * [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 53.653 * [taylor]: Taking taylor expansion of 0 in k 53.653 * [backup-simplify]: Simplify 0 into 0 53.653 * [backup-simplify]: Simplify 0 into 0 53.654 * [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)))))) 53.655 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 53.655 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 53.655 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 53.655 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.655 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.655 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 53.655 * [taylor]: Taking taylor expansion of 1/2 in k 53.655 * [backup-simplify]: Simplify 1/2 into 1/2 53.655 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.655 * [taylor]: Taking taylor expansion of k in k 53.655 * [backup-simplify]: Simplify 0 into 0 53.656 * [backup-simplify]: Simplify 1 into 1 53.656 * [backup-simplify]: Simplify (/ 1 1) into 1 53.656 * [taylor]: Taking taylor expansion of 1 in k 53.656 * [backup-simplify]: Simplify 1 into 1 53.656 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.656 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.656 * [taylor]: Taking taylor expansion of -2 in k 53.656 * [backup-simplify]: Simplify -2 into -2 53.656 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.656 * [taylor]: Taking taylor expansion of PI in k 53.656 * [backup-simplify]: Simplify PI into PI 53.656 * [taylor]: Taking taylor expansion of n in k 53.656 * [backup-simplify]: Simplify n into n 53.657 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.657 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.657 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.657 * [backup-simplify]: Simplify (+ 1 0) into 1 53.658 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.658 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 53.658 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.658 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 53.658 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.658 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.658 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 53.658 * [taylor]: Taking taylor expansion of 1/2 in n 53.658 * [backup-simplify]: Simplify 1/2 into 1/2 53.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.658 * [taylor]: Taking taylor expansion of k in n 53.658 * [backup-simplify]: Simplify k into k 53.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.658 * [taylor]: Taking taylor expansion of 1 in n 53.658 * [backup-simplify]: Simplify 1 into 1 53.658 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.659 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.659 * [taylor]: Taking taylor expansion of -2 in n 53.659 * [backup-simplify]: Simplify -2 into -2 53.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.659 * [taylor]: Taking taylor expansion of PI in n 53.659 * [backup-simplify]: Simplify PI into PI 53.659 * [taylor]: Taking taylor expansion of n in n 53.659 * [backup-simplify]: Simplify 0 into 0 53.659 * [backup-simplify]: Simplify 1 into 1 53.659 * [backup-simplify]: Simplify (/ PI 1) into PI 53.660 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.661 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.661 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.661 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 53.662 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.663 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.663 * [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))))) 53.663 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 53.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.664 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.664 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 53.664 * [taylor]: Taking taylor expansion of 1/2 in n 53.664 * [backup-simplify]: Simplify 1/2 into 1/2 53.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.664 * [taylor]: Taking taylor expansion of k in n 53.664 * [backup-simplify]: Simplify k into k 53.664 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.664 * [taylor]: Taking taylor expansion of 1 in n 53.664 * [backup-simplify]: Simplify 1 into 1 53.664 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.664 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.664 * [taylor]: Taking taylor expansion of -2 in n 53.664 * [backup-simplify]: Simplify -2 into -2 53.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.664 * [taylor]: Taking taylor expansion of PI in n 53.664 * [backup-simplify]: Simplify PI into PI 53.664 * [taylor]: Taking taylor expansion of n in n 53.664 * [backup-simplify]: Simplify 0 into 0 53.664 * [backup-simplify]: Simplify 1 into 1 53.664 * [backup-simplify]: Simplify (/ PI 1) into PI 53.664 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.665 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.665 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.665 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 53.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.667 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.667 * [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))))) 53.667 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 53.667 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 53.667 * [taylor]: Taking taylor expansion of 1/2 in k 53.667 * [backup-simplify]: Simplify 1/2 into 1/2 53.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 53.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.667 * [taylor]: Taking taylor expansion of k in k 53.667 * [backup-simplify]: Simplify 0 into 0 53.668 * [backup-simplify]: Simplify 1 into 1 53.668 * [backup-simplify]: Simplify (/ 1 1) into 1 53.668 * [taylor]: Taking taylor expansion of 1 in k 53.668 * [backup-simplify]: Simplify 1 into 1 53.668 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 53.668 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 53.668 * [taylor]: Taking taylor expansion of (* -2 PI) in k 53.668 * [taylor]: Taking taylor expansion of -2 in k 53.668 * [backup-simplify]: Simplify -2 into -2 53.668 * [taylor]: Taking taylor expansion of PI in k 53.668 * [backup-simplify]: Simplify PI into PI 53.668 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.669 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.669 * [taylor]: Taking taylor expansion of (log n) in k 53.669 * [taylor]: Taking taylor expansion of n in k 53.669 * [backup-simplify]: Simplify n into n 53.669 * [backup-simplify]: Simplify (log n) into (log n) 53.669 * [backup-simplify]: Simplify (+ 1 0) into 1 53.669 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.670 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 53.670 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 53.671 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 53.672 * [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))))) 53.672 * [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))))) 53.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.673 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.675 * [backup-simplify]: Simplify (+ 0 0) into 0 53.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 53.676 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.677 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 53.678 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.678 * [taylor]: Taking taylor expansion of 0 in k 53.678 * [backup-simplify]: Simplify 0 into 0 53.678 * [backup-simplify]: Simplify 0 into 0 53.678 * [backup-simplify]: Simplify 0 into 0 53.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.679 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.681 * [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 53.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.681 * [backup-simplify]: Simplify (+ 0 0) into 0 53.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 53.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.684 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 53.685 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.685 * [taylor]: Taking taylor expansion of 0 in k 53.685 * [backup-simplify]: Simplify 0 into 0 53.685 * [backup-simplify]: Simplify 0 into 0 53.685 * [backup-simplify]: Simplify 0 into 0 53.685 * [backup-simplify]: Simplify 0 into 0 53.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.687 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.693 * [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 53.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.694 * [backup-simplify]: Simplify (+ 0 0) into 0 53.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 53.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.699 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 53.701 * [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 53.701 * [taylor]: Taking taylor expansion of 0 in k 53.701 * [backup-simplify]: Simplify 0 into 0 53.701 * [backup-simplify]: Simplify 0 into 0 53.703 * [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)))))) 53.703 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 53.703 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 53.703 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 53.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.703 * [taylor]: Taking taylor expansion of k in k 53.703 * [backup-simplify]: Simplify 0 into 0 53.703 * [backup-simplify]: Simplify 1 into 1 53.703 * [backup-simplify]: Simplify (/ 1 1) into 1 53.704 * [backup-simplify]: Simplify (sqrt 0) into 0 53.705 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.706 * [taylor]: Taking taylor expansion of k in k 53.706 * [backup-simplify]: Simplify 0 into 0 53.706 * [backup-simplify]: Simplify 1 into 1 53.706 * [backup-simplify]: Simplify (/ 1 1) into 1 53.706 * [backup-simplify]: Simplify (sqrt 0) into 0 53.708 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.708 * [backup-simplify]: Simplify 0 into 0 53.708 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 53.712 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.717 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.717 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 53.717 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 53.717 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 53.717 * [taylor]: Taking taylor expansion of (sqrt k) in k 53.717 * [taylor]: Taking taylor expansion of k in k 53.717 * [backup-simplify]: Simplify 0 into 0 53.717 * [backup-simplify]: Simplify 1 into 1 53.717 * [backup-simplify]: Simplify (sqrt 0) into 0 53.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.719 * [taylor]: Taking taylor expansion of (sqrt k) in k 53.719 * [taylor]: Taking taylor expansion of k in k 53.719 * [backup-simplify]: Simplify 0 into 0 53.719 * [backup-simplify]: Simplify 1 into 1 53.719 * [backup-simplify]: Simplify (sqrt 0) into 0 53.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.721 * [backup-simplify]: Simplify 0 into 0 53.721 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.724 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.724 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.727 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.727 * [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)))))))) 53.728 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 53.728 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 53.728 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 53.728 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 53.728 * [taylor]: Taking taylor expansion of (/ -1 k) in k 53.728 * [taylor]: Taking taylor expansion of -1 in k 53.728 * [backup-simplify]: Simplify -1 into -1 53.728 * [taylor]: Taking taylor expansion of k in k 53.728 * [backup-simplify]: Simplify 0 into 0 53.728 * [backup-simplify]: Simplify 1 into 1 53.728 * [backup-simplify]: Simplify (/ -1 1) into -1 53.728 * [backup-simplify]: Simplify (sqrt 0) into 0 53.729 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 53.729 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 53.729 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 53.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 53.729 * [taylor]: Taking taylor expansion of (/ -1 k) in k 53.729 * [taylor]: Taking taylor expansion of -1 in k 53.729 * [backup-simplify]: Simplify -1 into -1 53.729 * [taylor]: Taking taylor expansion of k in k 53.729 * [backup-simplify]: Simplify 0 into 0 53.729 * [backup-simplify]: Simplify 1 into 1 53.730 * [backup-simplify]: Simplify (/ -1 1) into -1 53.730 * [backup-simplify]: Simplify (sqrt 0) into 0 53.731 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 53.731 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 53.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 53.733 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.735 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 53.735 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 53.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.740 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 53.740 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 53.741 * [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))))) 53.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 53.741 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 53.742 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 53.742 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.742 * [taylor]: Taking taylor expansion of 2 in n 53.742 * [backup-simplify]: Simplify 2 into 2 53.742 * [taylor]: Taking taylor expansion of (* n PI) in n 53.742 * [taylor]: Taking taylor expansion of n in n 53.742 * [backup-simplify]: Simplify 0 into 0 53.742 * [backup-simplify]: Simplify 1 into 1 53.742 * [taylor]: Taking taylor expansion of PI in n 53.742 * [backup-simplify]: Simplify PI into PI 53.742 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.742 * [taylor]: Taking taylor expansion of 2 in n 53.742 * [backup-simplify]: Simplify 2 into 2 53.742 * [taylor]: Taking taylor expansion of (* n PI) in n 53.742 * [taylor]: Taking taylor expansion of n in n 53.742 * [backup-simplify]: Simplify 0 into 0 53.742 * [backup-simplify]: Simplify 1 into 1 53.742 * [taylor]: Taking taylor expansion of PI in n 53.742 * [backup-simplify]: Simplify PI into PI 53.742 * [backup-simplify]: Simplify (* 0 PI) into 0 53.742 * [backup-simplify]: Simplify (* 2 0) into 0 53.742 * [backup-simplify]: Simplify 0 into 0 53.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.744 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.744 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.749 * [backup-simplify]: Simplify 0 into 0 53.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 53.751 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 53.751 * [backup-simplify]: Simplify 0 into 0 53.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 53.753 * [backup-simplify]: Simplify 0 into 0 53.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 53.755 * [backup-simplify]: Simplify 0 into 0 53.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 53.757 * [backup-simplify]: Simplify 0 into 0 53.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 53.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 53.759 * [backup-simplify]: Simplify 0 into 0 53.760 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 53.760 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 53.760 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 53.760 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.761 * [taylor]: Taking taylor expansion of 2 in n 53.761 * [backup-simplify]: Simplify 2 into 2 53.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.761 * [taylor]: Taking taylor expansion of PI in n 53.761 * [backup-simplify]: Simplify PI into PI 53.761 * [taylor]: Taking taylor expansion of n in n 53.761 * [backup-simplify]: Simplify 0 into 0 53.761 * [backup-simplify]: Simplify 1 into 1 53.761 * [backup-simplify]: Simplify (/ PI 1) into PI 53.761 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.761 * [taylor]: Taking taylor expansion of 2 in n 53.761 * [backup-simplify]: Simplify 2 into 2 53.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.761 * [taylor]: Taking taylor expansion of PI in n 53.761 * [backup-simplify]: Simplify PI into PI 53.761 * [taylor]: Taking taylor expansion of n in n 53.761 * [backup-simplify]: Simplify 0 into 0 53.761 * [backup-simplify]: Simplify 1 into 1 53.762 * [backup-simplify]: Simplify (/ PI 1) into PI 53.762 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.763 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.764 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.765 * [backup-simplify]: Simplify 0 into 0 53.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.767 * [backup-simplify]: Simplify 0 into 0 53.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.769 * [backup-simplify]: Simplify 0 into 0 53.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.771 * [backup-simplify]: Simplify 0 into 0 53.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.774 * [backup-simplify]: Simplify 0 into 0 53.775 * [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 53.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.777 * [backup-simplify]: Simplify 0 into 0 53.777 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 53.778 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 53.778 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 53.778 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.778 * [taylor]: Taking taylor expansion of -2 in n 53.778 * [backup-simplify]: Simplify -2 into -2 53.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.778 * [taylor]: Taking taylor expansion of PI in n 53.778 * [backup-simplify]: Simplify PI into PI 53.778 * [taylor]: Taking taylor expansion of n in n 53.778 * [backup-simplify]: Simplify 0 into 0 53.778 * [backup-simplify]: Simplify 1 into 1 53.779 * [backup-simplify]: Simplify (/ PI 1) into PI 53.779 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.779 * [taylor]: Taking taylor expansion of -2 in n 53.779 * [backup-simplify]: Simplify -2 into -2 53.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.779 * [taylor]: Taking taylor expansion of PI in n 53.779 * [backup-simplify]: Simplify PI into PI 53.779 * [taylor]: Taking taylor expansion of n in n 53.779 * [backup-simplify]: Simplify 0 into 0 53.779 * [backup-simplify]: Simplify 1 into 1 53.780 * [backup-simplify]: Simplify (/ PI 1) into PI 53.780 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.781 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.782 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.782 * [backup-simplify]: Simplify 0 into 0 53.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.784 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.784 * [backup-simplify]: Simplify 0 into 0 53.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.787 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.787 * [backup-simplify]: Simplify 0 into 0 53.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.789 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.789 * [backup-simplify]: Simplify 0 into 0 53.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.792 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.792 * [backup-simplify]: Simplify 0 into 0 53.793 * [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 53.795 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.795 * [backup-simplify]: Simplify 0 into 0 53.795 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 53.795 * * * * [progress]: [ 4 / 4 ] generating series at (2) 53.796 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 53.796 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 53.796 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 53.796 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 53.796 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 53.796 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 53.796 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 53.796 * [taylor]: Taking taylor expansion of 1/2 in n 53.796 * [backup-simplify]: Simplify 1/2 into 1/2 53.796 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.796 * [taylor]: Taking taylor expansion of 1 in n 53.796 * [backup-simplify]: Simplify 1 into 1 53.797 * [taylor]: Taking taylor expansion of k in n 53.797 * [backup-simplify]: Simplify k into k 53.797 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.797 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.797 * [taylor]: Taking taylor expansion of 2 in n 53.797 * [backup-simplify]: Simplify 2 into 2 53.797 * [taylor]: Taking taylor expansion of (* n PI) in n 53.797 * [taylor]: Taking taylor expansion of n in n 53.797 * [backup-simplify]: Simplify 0 into 0 53.797 * [backup-simplify]: Simplify 1 into 1 53.797 * [taylor]: Taking taylor expansion of PI in n 53.797 * [backup-simplify]: Simplify PI into PI 53.797 * [backup-simplify]: Simplify (* 0 PI) into 0 53.798 * [backup-simplify]: Simplify (* 2 0) into 0 53.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.801 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.802 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.802 * [backup-simplify]: Simplify (- k) into (- k) 53.802 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.802 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 53.804 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.805 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.806 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 53.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.806 * [taylor]: Taking taylor expansion of k in n 53.806 * [backup-simplify]: Simplify k into k 53.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.806 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 53.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 53.806 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 53.806 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.806 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.806 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.806 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.806 * [taylor]: Taking taylor expansion of 1/2 in k 53.807 * [backup-simplify]: Simplify 1/2 into 1/2 53.807 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.807 * [taylor]: Taking taylor expansion of 1 in k 53.807 * [backup-simplify]: Simplify 1 into 1 53.807 * [taylor]: Taking taylor expansion of k in k 53.807 * [backup-simplify]: Simplify 0 into 0 53.807 * [backup-simplify]: Simplify 1 into 1 53.807 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.807 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.807 * [taylor]: Taking taylor expansion of 2 in k 53.807 * [backup-simplify]: Simplify 2 into 2 53.807 * [taylor]: Taking taylor expansion of (* n PI) in k 53.807 * [taylor]: Taking taylor expansion of n in k 53.807 * [backup-simplify]: Simplify n into n 53.807 * [taylor]: Taking taylor expansion of PI in k 53.807 * [backup-simplify]: Simplify PI into PI 53.807 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.807 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.807 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.807 * [backup-simplify]: Simplify (- 0) into 0 53.808 * [backup-simplify]: Simplify (+ 1 0) into 1 53.808 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.808 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.809 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.809 * [taylor]: Taking taylor expansion of k in k 53.809 * [backup-simplify]: Simplify 0 into 0 53.809 * [backup-simplify]: Simplify 1 into 1 53.809 * [backup-simplify]: Simplify (/ 1 1) into 1 53.809 * [backup-simplify]: Simplify (sqrt 0) into 0 53.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.811 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 53.811 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.811 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.811 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.811 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.811 * [taylor]: Taking taylor expansion of 1/2 in k 53.811 * [backup-simplify]: Simplify 1/2 into 1/2 53.811 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.811 * [taylor]: Taking taylor expansion of 1 in k 53.811 * [backup-simplify]: Simplify 1 into 1 53.811 * [taylor]: Taking taylor expansion of k in k 53.811 * [backup-simplify]: Simplify 0 into 0 53.811 * [backup-simplify]: Simplify 1 into 1 53.811 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.811 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.811 * [taylor]: Taking taylor expansion of 2 in k 53.811 * [backup-simplify]: Simplify 2 into 2 53.811 * [taylor]: Taking taylor expansion of (* n PI) in k 53.811 * [taylor]: Taking taylor expansion of n in k 53.811 * [backup-simplify]: Simplify n into n 53.811 * [taylor]: Taking taylor expansion of PI in k 53.812 * [backup-simplify]: Simplify PI into PI 53.812 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.812 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.812 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.812 * [backup-simplify]: Simplify (- 0) into 0 53.813 * [backup-simplify]: Simplify (+ 1 0) into 1 53.813 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.813 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.813 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.813 * [taylor]: Taking taylor expansion of k in k 53.813 * [backup-simplify]: Simplify 0 into 0 53.813 * [backup-simplify]: Simplify 1 into 1 53.814 * [backup-simplify]: Simplify (/ 1 1) into 1 53.814 * [backup-simplify]: Simplify (sqrt 0) into 0 53.815 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.815 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 53.815 * [taylor]: Taking taylor expansion of 0 in n 53.815 * [backup-simplify]: Simplify 0 into 0 53.815 * [backup-simplify]: Simplify 0 into 0 53.815 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 53.816 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 53.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 53.816 * [backup-simplify]: Simplify (- 1) into -1 53.817 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.817 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 53.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 53.818 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 53.818 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 53.818 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 53.818 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.818 * [taylor]: Taking taylor expansion of +nan.0 in n 53.818 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.818 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.818 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.818 * [taylor]: Taking taylor expansion of 2 in n 53.818 * [backup-simplify]: Simplify 2 into 2 53.819 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.819 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.819 * [taylor]: Taking taylor expansion of (* n PI) in n 53.819 * [taylor]: Taking taylor expansion of n in n 53.819 * [backup-simplify]: Simplify 0 into 0 53.819 * [backup-simplify]: Simplify 1 into 1 53.819 * [taylor]: Taking taylor expansion of PI in n 53.819 * [backup-simplify]: Simplify PI into PI 53.819 * [backup-simplify]: Simplify (* 0 PI) into 0 53.820 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.820 * [backup-simplify]: Simplify (sqrt 0) into 0 53.821 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.822 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.822 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.822 * [backup-simplify]: Simplify (- 0) into 0 53.822 * [backup-simplify]: Simplify 0 into 0 53.822 * [backup-simplify]: Simplify 0 into 0 53.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 53.824 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.825 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 53.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 53.826 * [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 53.827 * [backup-simplify]: Simplify (- 0) into 0 53.827 * [backup-simplify]: Simplify (+ 0 0) into 0 53.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 53.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 53.829 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 53.829 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 53.829 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 53.829 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 53.829 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 53.829 * [taylor]: Taking taylor expansion of +nan.0 in n 53.829 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.829 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 53.829 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 53.829 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.829 * [taylor]: Taking taylor expansion of 2 in n 53.829 * [backup-simplify]: Simplify 2 into 2 53.829 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.830 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.830 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.830 * [taylor]: Taking taylor expansion of 2 in n 53.830 * [backup-simplify]: Simplify 2 into 2 53.830 * [taylor]: Taking taylor expansion of (* n PI) in n 53.830 * [taylor]: Taking taylor expansion of n in n 53.830 * [backup-simplify]: Simplify 0 into 0 53.830 * [backup-simplify]: Simplify 1 into 1 53.830 * [taylor]: Taking taylor expansion of PI in n 53.830 * [backup-simplify]: Simplify PI into PI 53.830 * [backup-simplify]: Simplify (* 0 PI) into 0 53.831 * [backup-simplify]: Simplify (* 2 0) into 0 53.832 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.833 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.833 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.833 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.833 * [taylor]: Taking taylor expansion of (* n PI) in n 53.833 * [taylor]: Taking taylor expansion of n in n 53.833 * [backup-simplify]: Simplify 0 into 0 53.833 * [backup-simplify]: Simplify 1 into 1 53.833 * [taylor]: Taking taylor expansion of PI in n 53.833 * [backup-simplify]: Simplify PI into PI 53.834 * [backup-simplify]: Simplify (* 0 PI) into 0 53.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.835 * [backup-simplify]: Simplify (sqrt 0) into 0 53.835 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.835 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 53.835 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.836 * [taylor]: Taking taylor expansion of +nan.0 in n 53.836 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.836 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.836 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.836 * [taylor]: Taking taylor expansion of 2 in n 53.836 * [backup-simplify]: Simplify 2 into 2 53.836 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.836 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.836 * [taylor]: Taking taylor expansion of (* n PI) in n 53.836 * [taylor]: Taking taylor expansion of n in n 53.836 * [backup-simplify]: Simplify 0 into 0 53.836 * [backup-simplify]: Simplify 1 into 1 53.836 * [taylor]: Taking taylor expansion of PI in n 53.836 * [backup-simplify]: Simplify PI into PI 53.837 * [backup-simplify]: Simplify (* 0 PI) into 0 53.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.838 * [backup-simplify]: Simplify (sqrt 0) into 0 53.839 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.839 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.840 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 53.841 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 53.841 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.842 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.842 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.842 * [backup-simplify]: Simplify (- 0) into 0 53.842 * [backup-simplify]: Simplify (+ 0 0) into 0 53.843 * [backup-simplify]: Simplify (- 0) into 0 53.843 * [backup-simplify]: Simplify 0 into 0 53.844 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.848 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.850 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.852 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.852 * [backup-simplify]: Simplify 0 into 0 53.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.858 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 53.868 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 53.868 * [backup-simplify]: Simplify (- 0) into 0 53.869 * [backup-simplify]: Simplify (+ 0 0) into 0 53.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 53.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 53.872 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 53.872 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 53.873 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 53.873 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 53.873 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 53.873 * [taylor]: Taking taylor expansion of +nan.0 in n 53.873 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.873 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 53.873 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 53.873 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.873 * [taylor]: Taking taylor expansion of 2 in n 53.873 * [backup-simplify]: Simplify 2 into 2 53.873 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.873 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.873 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.873 * [taylor]: Taking taylor expansion of 2 in n 53.873 * [backup-simplify]: Simplify 2 into 2 53.873 * [taylor]: Taking taylor expansion of (* n PI) in n 53.873 * [taylor]: Taking taylor expansion of n in n 53.873 * [backup-simplify]: Simplify 0 into 0 53.873 * [backup-simplify]: Simplify 1 into 1 53.874 * [taylor]: Taking taylor expansion of PI in n 53.874 * [backup-simplify]: Simplify PI into PI 53.874 * [backup-simplify]: Simplify (* 0 PI) into 0 53.874 * [backup-simplify]: Simplify (* 2 0) into 0 53.875 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.876 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.876 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.876 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.876 * [taylor]: Taking taylor expansion of (* n PI) in n 53.876 * [taylor]: Taking taylor expansion of n in n 53.876 * [backup-simplify]: Simplify 0 into 0 53.877 * [backup-simplify]: Simplify 1 into 1 53.877 * [taylor]: Taking taylor expansion of PI in n 53.877 * [backup-simplify]: Simplify PI into PI 53.877 * [backup-simplify]: Simplify (* 0 PI) into 0 53.878 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.878 * [backup-simplify]: Simplify (sqrt 0) into 0 53.879 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.879 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 53.879 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 53.879 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.879 * [taylor]: Taking taylor expansion of +nan.0 in n 53.879 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.879 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.879 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.879 * [taylor]: Taking taylor expansion of 2 in n 53.879 * [backup-simplify]: Simplify 2 into 2 53.879 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.880 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.880 * [taylor]: Taking taylor expansion of (* n PI) in n 53.880 * [taylor]: Taking taylor expansion of n in n 53.880 * [backup-simplify]: Simplify 0 into 0 53.880 * [backup-simplify]: Simplify 1 into 1 53.880 * [taylor]: Taking taylor expansion of PI in n 53.880 * [backup-simplify]: Simplify PI into PI 53.880 * [backup-simplify]: Simplify (* 0 PI) into 0 53.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.881 * [backup-simplify]: Simplify (sqrt 0) into 0 53.882 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 53.882 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 53.882 * [taylor]: Taking taylor expansion of +nan.0 in n 53.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.882 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 53.882 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 53.882 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.882 * [taylor]: Taking taylor expansion of 2 in n 53.882 * [backup-simplify]: Simplify 2 into 2 53.882 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.883 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 53.883 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.883 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.883 * [taylor]: Taking taylor expansion of 2 in n 53.883 * [backup-simplify]: Simplify 2 into 2 53.883 * [taylor]: Taking taylor expansion of (* n PI) in n 53.883 * [taylor]: Taking taylor expansion of n in n 53.883 * [backup-simplify]: Simplify 0 into 0 53.883 * [backup-simplify]: Simplify 1 into 1 53.883 * [taylor]: Taking taylor expansion of PI in n 53.883 * [backup-simplify]: Simplify PI into PI 53.883 * [backup-simplify]: Simplify (* 0 PI) into 0 53.883 * [backup-simplify]: Simplify (* 2 0) into 0 53.884 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.885 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.886 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.887 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.887 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.887 * [taylor]: Taking taylor expansion of (* n PI) in n 53.887 * [taylor]: Taking taylor expansion of n in n 53.887 * [backup-simplify]: Simplify 0 into 0 53.887 * [backup-simplify]: Simplify 1 into 1 53.887 * [taylor]: Taking taylor expansion of PI in n 53.887 * [backup-simplify]: Simplify PI into PI 53.887 * [backup-simplify]: Simplify (* 0 PI) into 0 53.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.888 * [backup-simplify]: Simplify (sqrt 0) into 0 53.889 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.890 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.890 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 53.891 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 53.892 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.892 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.892 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.893 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.895 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 53.896 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 53.897 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 53.897 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.897 * [backup-simplify]: Simplify (- 0) into 0 53.898 * [backup-simplify]: Simplify (+ 0 0) into 0 53.898 * [backup-simplify]: Simplify (- 0) into 0 53.898 * [backup-simplify]: Simplify (+ 0 0) into 0 53.899 * [backup-simplify]: Simplify (- 0) into 0 53.899 * [backup-simplify]: Simplify 0 into 0 53.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.902 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.903 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 53.905 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 53.911 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 53.914 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.920 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.923 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.931 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 53.940 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 53.948 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 53.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.953 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 53.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 53.958 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.965 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.970 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.973 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.991 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 53.992 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 53.992 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 53.992 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 53.992 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 53.992 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.992 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.992 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 53.992 * [taylor]: Taking taylor expansion of 1/2 in n 53.992 * [backup-simplify]: Simplify 1/2 into 1/2 53.992 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.992 * [taylor]: Taking taylor expansion of 1 in n 53.992 * [backup-simplify]: Simplify 1 into 1 53.992 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.992 * [taylor]: Taking taylor expansion of k in n 53.992 * [backup-simplify]: Simplify k into k 53.992 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.992 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.992 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.992 * [taylor]: Taking taylor expansion of 2 in n 53.992 * [backup-simplify]: Simplify 2 into 2 53.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.992 * [taylor]: Taking taylor expansion of PI in n 53.992 * [backup-simplify]: Simplify PI into PI 53.992 * [taylor]: Taking taylor expansion of n in n 53.992 * [backup-simplify]: Simplify 0 into 0 53.992 * [backup-simplify]: Simplify 1 into 1 53.992 * [backup-simplify]: Simplify (/ PI 1) into PI 53.993 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.993 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.993 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.993 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.993 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 53.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.995 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.995 * [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))))) 53.996 * [taylor]: Taking taylor expansion of (sqrt k) in n 53.996 * [taylor]: Taking taylor expansion of k in n 53.996 * [backup-simplify]: Simplify k into k 53.996 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 53.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 53.996 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 53.996 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.996 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.996 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.996 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.996 * [taylor]: Taking taylor expansion of 1/2 in k 53.996 * [backup-simplify]: Simplify 1/2 into 1/2 53.996 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.996 * [taylor]: Taking taylor expansion of 1 in k 53.996 * [backup-simplify]: Simplify 1 into 1 53.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.996 * [taylor]: Taking taylor expansion of k in k 53.996 * [backup-simplify]: Simplify 0 into 0 53.996 * [backup-simplify]: Simplify 1 into 1 53.996 * [backup-simplify]: Simplify (/ 1 1) into 1 53.996 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.996 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.996 * [taylor]: Taking taylor expansion of 2 in k 53.996 * [backup-simplify]: Simplify 2 into 2 53.996 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.996 * [taylor]: Taking taylor expansion of PI in k 53.996 * [backup-simplify]: Simplify PI into PI 53.996 * [taylor]: Taking taylor expansion of n in k 53.996 * [backup-simplify]: Simplify n into n 53.996 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.996 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.996 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.997 * [backup-simplify]: Simplify (- 1) into -1 53.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.997 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 53.997 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 53.997 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.997 * [taylor]: Taking taylor expansion of (sqrt k) in k 53.997 * [taylor]: Taking taylor expansion of k in k 53.997 * [backup-simplify]: Simplify 0 into 0 53.997 * [backup-simplify]: Simplify 1 into 1 53.998 * [backup-simplify]: Simplify (sqrt 0) into 0 53.998 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.999 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 53.999 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.999 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.999 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.999 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.999 * [taylor]: Taking taylor expansion of 1/2 in k 53.999 * [backup-simplify]: Simplify 1/2 into 1/2 53.999 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.999 * [taylor]: Taking taylor expansion of 1 in k 53.999 * [backup-simplify]: Simplify 1 into 1 53.999 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.999 * [taylor]: Taking taylor expansion of k in k 53.999 * [backup-simplify]: Simplify 0 into 0 53.999 * [backup-simplify]: Simplify 1 into 1 53.999 * [backup-simplify]: Simplify (/ 1 1) into 1 53.999 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.999 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.999 * [taylor]: Taking taylor expansion of 2 in k 53.999 * [backup-simplify]: Simplify 2 into 2 53.999 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.999 * [taylor]: Taking taylor expansion of PI in k 53.999 * [backup-simplify]: Simplify PI into PI 53.999 * [taylor]: Taking taylor expansion of n in k 53.999 * [backup-simplify]: Simplify n into n 53.999 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.999 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.999 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 54.000 * [backup-simplify]: Simplify (- 1) into -1 54.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 54.000 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 54.000 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 54.000 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 54.000 * [taylor]: Taking taylor expansion of (sqrt k) in k 54.000 * [taylor]: Taking taylor expansion of k in k 54.000 * [backup-simplify]: Simplify 0 into 0 54.000 * [backup-simplify]: Simplify 1 into 1 54.001 * [backup-simplify]: Simplify (sqrt 0) into 0 54.001 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 54.002 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 54.002 * [taylor]: Taking taylor expansion of 0 in n 54.002 * [backup-simplify]: Simplify 0 into 0 54.002 * [backup-simplify]: Simplify 0 into 0 54.002 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 54.002 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 54.002 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 54.002 * [taylor]: Taking taylor expansion of +nan.0 in n 54.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.002 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 54.002 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 54.002 * [taylor]: Taking taylor expansion of 1/2 in n 54.002 * [backup-simplify]: Simplify 1/2 into 1/2 54.002 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 54.002 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 54.002 * [taylor]: Taking taylor expansion of 1 in n 54.002 * [backup-simplify]: Simplify 1 into 1 54.002 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.002 * [taylor]: Taking taylor expansion of k in n 54.002 * [backup-simplify]: Simplify k into k 54.002 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.002 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 54.002 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.002 * [taylor]: Taking taylor expansion of 2 in n 54.002 * [backup-simplify]: Simplify 2 into 2 54.002 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.002 * [taylor]: Taking taylor expansion of PI in n 54.002 * [backup-simplify]: Simplify PI into PI 54.002 * [taylor]: Taking taylor expansion of n in n 54.002 * [backup-simplify]: Simplify 0 into 0 54.002 * [backup-simplify]: Simplify 1 into 1 54.003 * [backup-simplify]: Simplify (/ PI 1) into PI 54.003 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.004 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.004 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 54.004 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 54.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.005 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 54.006 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 54.007 * [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))))) 54.007 * [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)))))) 54.008 * [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))))))) 54.009 * [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))))))) 54.009 * [backup-simplify]: Simplify 0 into 0 54.011 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 54.011 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 54.012 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 54.012 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 54.012 * [taylor]: Taking taylor expansion of +nan.0 in n 54.012 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.012 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 54.012 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 54.012 * [taylor]: Taking taylor expansion of 1/2 in n 54.012 * [backup-simplify]: Simplify 1/2 into 1/2 54.012 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 54.012 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 54.012 * [taylor]: Taking taylor expansion of 1 in n 54.012 * [backup-simplify]: Simplify 1 into 1 54.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.012 * [taylor]: Taking taylor expansion of k in n 54.012 * [backup-simplify]: Simplify k into k 54.012 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.012 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 54.012 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.012 * [taylor]: Taking taylor expansion of 2 in n 54.012 * [backup-simplify]: Simplify 2 into 2 54.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.012 * [taylor]: Taking taylor expansion of PI in n 54.012 * [backup-simplify]: Simplify PI into PI 54.012 * [taylor]: Taking taylor expansion of n in n 54.012 * [backup-simplify]: Simplify 0 into 0 54.012 * [backup-simplify]: Simplify 1 into 1 54.012 * [backup-simplify]: Simplify (/ PI 1) into PI 54.013 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.013 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.013 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 54.013 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 54.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.015 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 54.015 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 54.016 * [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))))) 54.017 * [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)))))) 54.017 * [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))))))) 54.018 * [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))))))) 54.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 54.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 54.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 54.020 * [backup-simplify]: Simplify (- 0) into 0 54.021 * [backup-simplify]: Simplify (+ 0 0) into 0 54.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.022 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 54.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 54.024 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.025 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 54.025 * [backup-simplify]: Simplify (- 0) into 0 54.025 * [backup-simplify]: Simplify 0 into 0 54.025 * [backup-simplify]: Simplify 0 into 0 54.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 54.028 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 54.028 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 54.028 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 54.028 * [taylor]: Taking taylor expansion of +nan.0 in n 54.028 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.028 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 54.028 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 54.029 * [taylor]: Taking taylor expansion of 1/2 in n 54.029 * [backup-simplify]: Simplify 1/2 into 1/2 54.029 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 54.029 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 54.029 * [taylor]: Taking taylor expansion of 1 in n 54.029 * [backup-simplify]: Simplify 1 into 1 54.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.029 * [taylor]: Taking taylor expansion of k in n 54.029 * [backup-simplify]: Simplify k into k 54.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.029 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 54.029 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.029 * [taylor]: Taking taylor expansion of 2 in n 54.029 * [backup-simplify]: Simplify 2 into 2 54.029 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.029 * [taylor]: Taking taylor expansion of PI in n 54.029 * [backup-simplify]: Simplify PI into PI 54.029 * [taylor]: Taking taylor expansion of n in n 54.029 * [backup-simplify]: Simplify 0 into 0 54.029 * [backup-simplify]: Simplify 1 into 1 54.029 * [backup-simplify]: Simplify (/ PI 1) into PI 54.029 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.030 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 54.030 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 54.032 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.033 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 54.034 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 54.035 * [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))))) 54.036 * [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)))))) 54.037 * [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))))))) 54.039 * [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))))))) 54.043 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 54.044 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 54.044 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 54.044 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 54.044 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 54.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 54.044 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 54.044 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 54.044 * [taylor]: Taking taylor expansion of 1/2 in n 54.044 * [backup-simplify]: Simplify 1/2 into 1/2 54.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 54.044 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.044 * [taylor]: Taking taylor expansion of k in n 54.044 * [backup-simplify]: Simplify k into k 54.044 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.044 * [taylor]: Taking taylor expansion of 1 in n 54.044 * [backup-simplify]: Simplify 1 into 1 54.044 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 54.044 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.044 * [taylor]: Taking taylor expansion of -2 in n 54.044 * [backup-simplify]: Simplify -2 into -2 54.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.044 * [taylor]: Taking taylor expansion of PI in n 54.044 * [backup-simplify]: Simplify PI into PI 54.044 * [taylor]: Taking taylor expansion of n in n 54.044 * [backup-simplify]: Simplify 0 into 0 54.044 * [backup-simplify]: Simplify 1 into 1 54.045 * [backup-simplify]: Simplify (/ PI 1) into PI 54.046 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.047 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 54.047 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 54.047 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 54.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.049 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 54.050 * [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))))) 54.050 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 54.051 * [taylor]: Taking taylor expansion of (/ -1 k) in n 54.051 * [taylor]: Taking taylor expansion of -1 in n 54.051 * [backup-simplify]: Simplify -1 into -1 54.051 * [taylor]: Taking taylor expansion of k in n 54.051 * [backup-simplify]: Simplify k into k 54.051 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 54.051 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 54.051 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 54.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 54.052 * [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))) 54.052 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 54.052 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 54.052 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 54.052 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 54.052 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 54.052 * [taylor]: Taking taylor expansion of 1/2 in k 54.052 * [backup-simplify]: Simplify 1/2 into 1/2 54.052 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 54.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.053 * [taylor]: Taking taylor expansion of k in k 54.053 * [backup-simplify]: Simplify 0 into 0 54.053 * [backup-simplify]: Simplify 1 into 1 54.053 * [backup-simplify]: Simplify (/ 1 1) into 1 54.053 * [taylor]: Taking taylor expansion of 1 in k 54.053 * [backup-simplify]: Simplify 1 into 1 54.053 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 54.053 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 54.053 * [taylor]: Taking taylor expansion of -2 in k 54.053 * [backup-simplify]: Simplify -2 into -2 54.053 * [taylor]: Taking taylor expansion of (/ PI n) in k 54.053 * [taylor]: Taking taylor expansion of PI in k 54.053 * [backup-simplify]: Simplify PI into PI 54.053 * [taylor]: Taking taylor expansion of n in k 54.053 * [backup-simplify]: Simplify n into n 54.053 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 54.053 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 54.053 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 54.054 * [backup-simplify]: Simplify (+ 1 0) into 1 54.054 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.054 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 54.055 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 54.055 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 54.055 * [taylor]: Taking taylor expansion of (/ -1 k) in k 54.055 * [taylor]: Taking taylor expansion of -1 in k 54.055 * [backup-simplify]: Simplify -1 into -1 54.055 * [taylor]: Taking taylor expansion of k in k 54.055 * [backup-simplify]: Simplify 0 into 0 54.055 * [backup-simplify]: Simplify 1 into 1 54.055 * [backup-simplify]: Simplify (/ -1 1) into -1 54.056 * [backup-simplify]: Simplify (sqrt 0) into 0 54.057 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 54.058 * [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))))) 54.058 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 54.058 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 54.058 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 54.058 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 54.058 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 54.058 * [taylor]: Taking taylor expansion of 1/2 in k 54.058 * [backup-simplify]: Simplify 1/2 into 1/2 54.058 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 54.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.058 * [taylor]: Taking taylor expansion of k in k 54.058 * [backup-simplify]: Simplify 0 into 0 54.058 * [backup-simplify]: Simplify 1 into 1 54.058 * [backup-simplify]: Simplify (/ 1 1) into 1 54.058 * [taylor]: Taking taylor expansion of 1 in k 54.058 * [backup-simplify]: Simplify 1 into 1 54.058 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 54.058 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 54.058 * [taylor]: Taking taylor expansion of -2 in k 54.058 * [backup-simplify]: Simplify -2 into -2 54.058 * [taylor]: Taking taylor expansion of (/ PI n) in k 54.059 * [taylor]: Taking taylor expansion of PI in k 54.059 * [backup-simplify]: Simplify PI into PI 54.059 * [taylor]: Taking taylor expansion of n in k 54.059 * [backup-simplify]: Simplify n into n 54.059 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 54.059 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 54.059 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 54.059 * [backup-simplify]: Simplify (+ 1 0) into 1 54.060 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.060 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 54.060 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 54.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 54.060 * [taylor]: Taking taylor expansion of (/ -1 k) in k 54.060 * [taylor]: Taking taylor expansion of -1 in k 54.060 * [backup-simplify]: Simplify -1 into -1 54.060 * [taylor]: Taking taylor expansion of k in k 54.060 * [backup-simplify]: Simplify 0 into 0 54.060 * [backup-simplify]: Simplify 1 into 1 54.061 * [backup-simplify]: Simplify (/ -1 1) into -1 54.061 * [backup-simplify]: Simplify (sqrt 0) into 0 54.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 54.063 * [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))))) 54.063 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 54.063 * [taylor]: Taking taylor expansion of +nan.0 in n 54.063 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.063 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 54.063 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 54.063 * [taylor]: Taking taylor expansion of 1/2 in n 54.063 * [backup-simplify]: Simplify 1/2 into 1/2 54.063 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 54.063 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 54.063 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.063 * [taylor]: Taking taylor expansion of -2 in n 54.063 * [backup-simplify]: Simplify -2 into -2 54.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.063 * [taylor]: Taking taylor expansion of PI in n 54.063 * [backup-simplify]: Simplify PI into PI 54.063 * [taylor]: Taking taylor expansion of n in n 54.063 * [backup-simplify]: Simplify 0 into 0 54.063 * [backup-simplify]: Simplify 1 into 1 54.064 * [backup-simplify]: Simplify (/ PI 1) into PI 54.064 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.065 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 54.065 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 54.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.065 * [taylor]: Taking taylor expansion of k in n 54.065 * [backup-simplify]: Simplify k into k 54.065 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.065 * [taylor]: Taking taylor expansion of 1 in n 54.065 * [backup-simplify]: Simplify 1 into 1 54.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.067 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 54.069 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 54.070 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 54.071 * [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))))) 54.072 * [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)))))) 54.073 * [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)))))) 54.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 54.077 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 54.078 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 54.078 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 54.078 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 54.078 * [taylor]: Taking taylor expansion of +nan.0 in n 54.078 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.078 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 54.078 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 54.078 * [taylor]: Taking taylor expansion of 1/2 in n 54.078 * [backup-simplify]: Simplify 1/2 into 1/2 54.079 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 54.079 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 54.079 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.079 * [taylor]: Taking taylor expansion of -2 in n 54.079 * [backup-simplify]: Simplify -2 into -2 54.079 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.079 * [taylor]: Taking taylor expansion of PI in n 54.079 * [backup-simplify]: Simplify PI into PI 54.079 * [taylor]: Taking taylor expansion of n in n 54.079 * [backup-simplify]: Simplify 0 into 0 54.079 * [backup-simplify]: Simplify 1 into 1 54.079 * [backup-simplify]: Simplify (/ PI 1) into PI 54.080 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.081 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 54.081 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 54.081 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.081 * [taylor]: Taking taylor expansion of k in n 54.081 * [backup-simplify]: Simplify k into k 54.081 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.081 * [taylor]: Taking taylor expansion of 1 in n 54.081 * [backup-simplify]: Simplify 1 into 1 54.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.082 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 54.083 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 54.084 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 54.086 * [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))))) 54.086 * [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)))))) 54.087 * [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))))))) 54.088 * [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))))))) 54.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 54.089 * [backup-simplify]: Simplify (+ 0 0) into 0 54.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.090 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 54.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 54.091 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 54.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 54.097 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.099 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 54.099 * [backup-simplify]: Simplify 0 into 0 54.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 54.103 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 54.103 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 54.103 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 54.103 * [taylor]: Taking taylor expansion of +nan.0 in n 54.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.103 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 54.103 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 54.103 * [taylor]: Taking taylor expansion of 1/2 in n 54.103 * [backup-simplify]: Simplify 1/2 into 1/2 54.103 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 54.103 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 54.103 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.103 * [taylor]: Taking taylor expansion of -2 in n 54.103 * [backup-simplify]: Simplify -2 into -2 54.103 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.103 * [taylor]: Taking taylor expansion of PI in n 54.103 * [backup-simplify]: Simplify PI into PI 54.103 * [taylor]: Taking taylor expansion of n in n 54.103 * [backup-simplify]: Simplify 0 into 0 54.103 * [backup-simplify]: Simplify 1 into 1 54.104 * [backup-simplify]: Simplify (/ PI 1) into PI 54.104 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.104 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 54.105 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 54.105 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.105 * [taylor]: Taking taylor expansion of k in n 54.105 * [backup-simplify]: Simplify k into k 54.105 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.105 * [taylor]: Taking taylor expansion of 1 in n 54.105 * [backup-simplify]: Simplify 1 into 1 54.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.106 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 54.106 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 54.107 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 54.108 * [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))))) 54.108 * [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)))))) 54.109 * [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))))))) 54.110 * [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))))))) 54.112 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 54.112 * * * [progress]: simplifying candidates 54.112 * * * * [progress]: [ 1 / 196 ] simplifiying candidate # 54.113 * [simplify]: Simplifying (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 54.113 * * [simplify]: iters left: 6 (11 enodes) 54.116 * * [simplify]: iters left: 5 (48 enodes) 54.124 * * [simplify]: iters left: 4 (77 enodes) 54.138 * * [simplify]: iters left: 3 (120 enodes) 54.162 * * [simplify]: iters left: 2 (218 enodes) 54.228 * * [simplify]: iters left: 1 (399 enodes) 54.379 * * [simplify]: Extracting #0: cost 1 inf + 0 54.379 * * [simplify]: Extracting #1: cost 3 inf + 0 54.379 * * [simplify]: Extracting #2: cost 29 inf + 0 54.380 * * [simplify]: Extracting #3: cost 107 inf + 1 54.381 * * [simplify]: Extracting #4: cost 179 inf + 134 54.383 * * [simplify]: Extracting #5: cost 155 inf + 2293 54.389 * * [simplify]: Extracting #6: cost 73 inf + 13323 54.396 * * [simplify]: Extracting #7: cost 23 inf + 42744 54.407 * * [simplify]: Extracting #8: cost 0 inf + 63809 54.418 * * [simplify]: Extracting #9: cost 0 inf + 62070 54.441 * * [simplify]: Extracting #10: cost 0 inf + 61180 54.463 * [simplify]: Simplified to (expm1 (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 54.463 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 54.463 * * * * [progress]: [ 2 / 196 ] simplifiying candidate # 54.464 * [simplify]: Simplifying (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 54.464 * * [simplify]: iters left: 6 (11 enodes) 54.468 * * [simplify]: iters left: 5 (48 enodes) 54.480 * * [simplify]: iters left: 4 (77 enodes) 54.493 * * [simplify]: iters left: 3 (120 enodes) 54.532 * * [simplify]: iters left: 2 (218 enodes) 54.606 * * [simplify]: iters left: 1 (399 enodes) 54.778 * * [simplify]: Extracting #0: cost 1 inf + 0 54.778 * * [simplify]: Extracting #1: cost 3 inf + 0 54.778 * * [simplify]: Extracting #2: cost 29 inf + 0 54.779 * * [simplify]: Extracting #3: cost 107 inf + 1 54.780 * * [simplify]: Extracting #4: cost 179 inf + 134 54.782 * * [simplify]: Extracting #5: cost 155 inf + 2293 54.791 * * [simplify]: Extracting #6: cost 73 inf + 13363 54.803 * * [simplify]: Extracting #7: cost 23 inf + 42784 54.821 * * [simplify]: Extracting #8: cost 0 inf + 63849 54.833 * * [simplify]: Extracting #9: cost 0 inf + 62110 54.844 * * [simplify]: Extracting #10: cost 0 inf + 61220 54.861 * [simplify]: Simplified to (log1p (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 54.862 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 54.862 * * * * [progress]: [ 3 / 196 ] simplifiying candidate # 54.862 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 54.862 * * [simplify]: iters left: 6 (13 enodes) 54.870 * * [simplify]: iters left: 5 (54 enodes) 54.888 * * [simplify]: iters left: 4 (97 enodes) 54.923 * * [simplify]: iters left: 3 (256 enodes) 55.030 * * [simplify]: Extracting #0: cost 1 inf + 0 55.030 * * [simplify]: Extracting #1: cost 38 inf + 0 55.031 * * [simplify]: Extracting #2: cost 134 inf + 73 55.032 * * [simplify]: Extracting #3: cost 160 inf + 1686 55.036 * * [simplify]: Extracting #4: cost 76 inf + 19608 55.043 * * [simplify]: Extracting #5: cost 7 inf + 38991 55.051 * * [simplify]: Extracting #6: cost 0 inf + 41487 55.059 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 55.059 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 55.059 * * * * [progress]: [ 4 / 196 ] simplifiying candidate # 55.060 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 55.060 * * [simplify]: iters left: 6 (12 enodes) 55.064 * * [simplify]: iters left: 5 (52 enodes) 55.079 * * [simplify]: iters left: 4 (90 enodes) 55.110 * * [simplify]: iters left: 3 (209 enodes) 55.199 * * [simplify]: Extracting #0: cost 1 inf + 0 55.200 * * [simplify]: Extracting #1: cost 33 inf + 0 55.200 * * [simplify]: Extracting #2: cost 117 inf + 73 55.200 * * [simplify]: Extracting #3: cost 146 inf + 666 55.202 * * [simplify]: Extracting #4: cost 98 inf + 7648 55.206 * * [simplify]: Extracting #5: cost 35 inf + 21405 55.212 * * [simplify]: Extracting #6: cost 1 inf + 31918 55.218 * * [simplify]: Extracting #7: cost 0 inf + 32142 55.227 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 55.227 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 55.228 * * * * [progress]: [ 5 / 196 ] simplifiying candidate # 55.228 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 55.228 * * [simplify]: iters left: 6 (11 enodes) 55.235 * * [simplify]: iters left: 5 (51 enodes) 55.248 * * [simplify]: iters left: 4 (97 enodes) 55.268 * * [simplify]: iters left: 3 (204 enodes) 55.352 * * [simplify]: Extracting #0: cost 1 inf + 0 55.352 * * [simplify]: Extracting #1: cost 35 inf + 0 55.352 * * [simplify]: Extracting #2: cost 118 inf + 2 55.353 * * [simplify]: Extracting #3: cost 153 inf + 313 55.354 * * [simplify]: Extracting #4: cost 107 inf + 5868 55.358 * * [simplify]: Extracting #5: cost 21 inf + 25799 55.364 * * [simplify]: Extracting #6: cost 0 inf + 28984 55.373 * * [simplify]: Extracting #7: cost 0 inf + 28772 55.379 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 55.379 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) 55.379 * * * * [progress]: [ 6 / 196 ] simplifiying candidate # 55.379 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 55.379 * * [simplify]: iters left: 6 (11 enodes) 55.383 * * [simplify]: iters left: 5 (51 enodes) 55.400 * * [simplify]: iters left: 4 (97 enodes) 55.434 * * [simplify]: iters left: 3 (204 enodes) 55.507 * * [simplify]: Extracting #0: cost 1 inf + 0 55.507 * * [simplify]: Extracting #1: cost 35 inf + 0 55.507 * * [simplify]: Extracting #2: cost 118 inf + 2 55.508 * * [simplify]: Extracting #3: cost 153 inf + 313 55.509 * * [simplify]: Extracting #4: cost 107 inf + 5868 55.513 * * [simplify]: Extracting #5: cost 21 inf + 25799 55.519 * * [simplify]: Extracting #6: cost 0 inf + 28984 55.525 * * [simplify]: Extracting #7: cost 0 inf + 28772 55.531 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 55.532 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) 55.532 * * * * [progress]: [ 7 / 196 ] simplifiying candidate # 55.532 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 55.532 * * [simplify]: iters left: 6 (6 enodes) 55.534 * * [simplify]: iters left: 5 (27 enodes) 55.540 * * [simplify]: iters left: 4 (47 enodes) 55.547 * * [simplify]: iters left: 3 (59 enodes) 55.567 * * [simplify]: iters left: 2 (79 enodes) 55.592 * * [simplify]: iters left: 1 (108 enodes) 55.619 * * [simplify]: Extracting #0: cost 1 inf + 0 55.619 * * [simplify]: Extracting #1: cost 10 inf + 0 55.619 * * [simplify]: Extracting #2: cost 19 inf + 3 55.619 * * [simplify]: Extracting #3: cost 15 inf + 131 55.620 * * [simplify]: Extracting #4: cost 1 inf + 1004 55.621 * * [simplify]: Extracting #5: cost 0 inf + 1086 55.622 * [simplify]: Simplified to (* 1/2 (- 1 k)) 55.622 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 55.622 * * * * [progress]: [ 8 / 196 ] simplifiying candidate # 55.622 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 55.622 * * [simplify]: iters left: 6 (6 enodes) 55.626 * * [simplify]: iters left: 5 (27 enodes) 55.637 * * [simplify]: iters left: 4 (47 enodes) 55.651 * * [simplify]: iters left: 3 (59 enodes) 55.669 * * [simplify]: iters left: 2 (79 enodes) 55.693 * * [simplify]: iters left: 1 (108 enodes) 55.721 * * [simplify]: Extracting #0: cost 1 inf + 0 55.721 * * [simplify]: Extracting #1: cost 10 inf + 0 55.721 * * [simplify]: Extracting #2: cost 19 inf + 3 55.722 * * [simplify]: Extracting #3: cost 15 inf + 131 55.722 * * [simplify]: Extracting #4: cost 1 inf + 1004 55.722 * * [simplify]: Extracting #5: cost 0 inf + 1086 55.723 * [simplify]: Simplified to (* 1/2 (- 1 k)) 55.723 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 55.723 * * * * [progress]: [ 9 / 196 ] simplifiying candidate # 55.723 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 55.723 * * [simplify]: iters left: 6 (6 enodes) 55.725 * * [simplify]: iters left: 5 (27 enodes) 55.731 * * [simplify]: iters left: 4 (47 enodes) 55.738 * * [simplify]: iters left: 3 (59 enodes) 55.748 * * [simplify]: iters left: 2 (79 enodes) 55.770 * * [simplify]: iters left: 1 (108 enodes) 55.797 * * [simplify]: Extracting #0: cost 1 inf + 0 55.797 * * [simplify]: Extracting #1: cost 10 inf + 0 55.797 * * [simplify]: Extracting #2: cost 19 inf + 3 55.798 * * [simplify]: Extracting #3: cost 15 inf + 131 55.798 * * [simplify]: Extracting #4: cost 1 inf + 1004 55.799 * * [simplify]: Extracting #5: cost 0 inf + 1086 55.800 * [simplify]: Simplified to (* 1/2 (- 1 k)) 55.800 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 55.800 * * * * [progress]: [ 10 / 196 ] simplifiying candidate # 55.801 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 2)) 55.801 * * [simplify]: iters left: 5 (8 enodes) 55.807 * * [simplify]: iters left: 4 (35 enodes) 55.818 * * [simplify]: iters left: 3 (63 enodes) 55.831 * * [simplify]: iters left: 2 (109 enodes) 55.855 * * [simplify]: iters left: 1 (163 enodes) 55.884 * * [simplify]: Extracting #0: cost 1 inf + 0 55.884 * * [simplify]: Extracting #1: cost 15 inf + 0 55.884 * * [simplify]: Extracting #2: cost 44 inf + 2 55.885 * * [simplify]: Extracting #3: cost 40 inf + 52 55.886 * * [simplify]: Extracting #4: cost 27 inf + 1646 55.888 * * [simplify]: Extracting #5: cost 4 inf + 13148 55.892 * * [simplify]: Extracting #6: cost 0 inf + 15790 55.895 * [simplify]: Simplified to (sqrt (* (* 2 PI) n)) 55.895 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))))) 55.896 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 55.896 * * [simplify]: iters left: 5 (8 enodes) 55.900 * * [simplify]: iters left: 4 (31 enodes) 55.915 * * [simplify]: iters left: 3 (51 enodes) 55.929 * * [simplify]: iters left: 2 (85 enodes) 55.944 * * [simplify]: iters left: 1 (152 enodes) 55.980 * * [simplify]: Extracting #0: cost 1 inf + 0 55.980 * * [simplify]: Extracting #1: cost 13 inf + 0 55.981 * * [simplify]: Extracting #2: cost 60 inf + 1 55.981 * * [simplify]: Extracting #3: cost 76 inf + 51 55.982 * * [simplify]: Extracting #4: cost 44 inf + 2846 55.985 * * [simplify]: Extracting #5: cost 21 inf + 7590 55.991 * * [simplify]: Extracting #6: cost 1 inf + 20687 55.996 * * [simplify]: Extracting #7: cost 0 inf + 20539 56.002 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 56.002 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 PI) n)) (pow (* (* n 2) PI) (/ k 2))))) 56.002 * * * * [progress]: [ 11 / 196 ] simplifiying candidate # 56.002 * [simplify]: Simplifying (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 56.002 * * [simplify]: iters left: 6 (12 enodes) 56.008 * * [simplify]: iters left: 5 (51 enodes) 56.020 * * [simplify]: iters left: 4 (79 enodes) 56.032 * * [simplify]: iters left: 3 (119 enodes) 56.061 * * [simplify]: iters left: 2 (200 enodes) 56.112 * * [simplify]: iters left: 1 (360 enodes) 56.646 * * [simplify]: Extracting #0: cost 1 inf + 0 56.646 * * [simplify]: Extracting #1: cost 26 inf + 0 56.647 * * [simplify]: Extracting #2: cost 116 inf + 1 56.648 * * [simplify]: Extracting #3: cost 208 inf + 217 56.650 * * [simplify]: Extracting #4: cost 219 inf + 429 56.652 * * [simplify]: Extracting #5: cost 224 inf + 429 56.654 * * [simplify]: Extracting #6: cost 219 inf + 720 56.661 * * [simplify]: Extracting #7: cost 117 inf + 25112 56.688 * * [simplify]: Extracting #8: cost 27 inf + 74480 56.725 * * [simplify]: Extracting #9: cost 0 inf + 100719 56.761 * * [simplify]: Extracting #10: cost 0 inf + 98837 56.797 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 56.797 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 56.797 * * * * [progress]: [ 12 / 196 ] simplifiying candidate # 56.797 * [simplify]: Simplifying (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) 56.798 * * [simplify]: iters left: 6 (11 enodes) 56.801 * * [simplify]: iters left: 5 (48 enodes) 56.809 * * [simplify]: iters left: 4 (74 enodes) 56.821 * * [simplify]: iters left: 3 (105 enodes) 56.853 * * [simplify]: iters left: 2 (161 enodes) 56.888 * * [simplify]: iters left: 1 (278 enodes) 57.012 * * [simplify]: Extracting #0: cost 1 inf + 0 57.013 * * [simplify]: Extracting #1: cost 27 inf + 0 57.013 * * [simplify]: Extracting #2: cost 103 inf + 1 57.014 * * [simplify]: Extracting #3: cost 133 inf + 174 57.015 * * [simplify]: Extracting #4: cost 132 inf + 388 57.017 * * [simplify]: Extracting #5: cost 129 inf + 556 57.020 * * [simplify]: Extracting #6: cost 87 inf + 10742 57.030 * * [simplify]: Extracting #7: cost 44 inf + 30226 57.040 * * [simplify]: Extracting #8: cost 5 inf + 64548 57.051 * * [simplify]: Extracting #9: cost 0 inf + 70577 57.065 * [simplify]: Simplified to (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) 57.065 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 57.065 * * * * [progress]: [ 13 / 196 ] simplifiying candidate # 57.066 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 57.066 * * [simplify]: iters left: 6 (14 enodes) 57.076 * * [simplify]: iters left: 5 (59 enodes) 57.094 * * [simplify]: iters left: 4 (104 enodes) 57.124 * * [simplify]: iters left: 3 (187 enodes) 57.198 * * [simplify]: iters left: 2 (435 enodes) 57.486 * * [simplify]: Extracting #0: cost 1 inf + 0 57.486 * * [simplify]: Extracting #1: cost 12 inf + 0 57.486 * * [simplify]: Extracting #2: cost 110 inf + 1 57.488 * * [simplify]: Extracting #3: cost 230 inf + 215 57.491 * * [simplify]: Extracting #4: cost 226 inf + 2204 57.497 * * [simplify]: Extracting #5: cost 153 inf + 20278 57.513 * * [simplify]: Extracting #6: cost 30 inf + 62765 57.528 * * [simplify]: Extracting #7: cost 2 inf + 83492 57.555 * * [simplify]: Extracting #8: cost 0 inf + 83773 57.584 * * [simplify]: Extracting #9: cost 0 inf + 83655 57.600 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 57.600 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 57.600 * * * * [progress]: [ 14 / 196 ] simplifiying candidate # 57.600 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 57.600 * * [simplify]: iters left: 6 (13 enodes) 57.604 * * [simplify]: iters left: 5 (52 enodes) 57.614 * * [simplify]: iters left: 4 (82 enodes) 57.632 * * [simplify]: iters left: 3 (137 enodes) 57.666 * * [simplify]: iters left: 2 (273 enodes) 57.803 * * [simplify]: Extracting #0: cost 1 inf + 0 57.803 * * [simplify]: Extracting #1: cost 12 inf + 0 57.803 * * [simplify]: Extracting #2: cost 84 inf + 1 57.804 * * [simplify]: Extracting #3: cost 148 inf + 6 57.806 * * [simplify]: Extracting #4: cost 141 inf + 1113 57.807 * * [simplify]: Extracting #5: cost 127 inf + 2583 57.814 * * [simplify]: Extracting #6: cost 62 inf + 18042 57.824 * * [simplify]: Extracting #7: cost 18 inf + 35821 57.832 * * [simplify]: Extracting #8: cost 2 inf + 50857 57.842 * * [simplify]: Extracting #9: cost 0 inf + 52761 57.860 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 57.860 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))))) 57.860 * * * * [progress]: [ 15 / 196 ] simplifiying candidate # 57.860 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 57.860 * * [simplify]: iters left: 6 (12 enodes) 57.867 * * [simplify]: iters left: 5 (47 enodes) 57.883 * * [simplify]: iters left: 4 (83 enodes) 57.911 * * [simplify]: iters left: 3 (123 enodes) 57.947 * * [simplify]: iters left: 2 (221 enodes) 58.027 * * [simplify]: iters left: 1 (478 enodes) 58.506 * * [simplify]: Extracting #0: cost 1 inf + 0 58.506 * * [simplify]: Extracting #1: cost 35 inf + 0 58.507 * * [simplify]: Extracting #2: cost 138 inf + 1 58.508 * * [simplify]: Extracting #3: cost 219 inf + 136 58.509 * * [simplify]: Extracting #4: cost 219 inf + 390 58.510 * * [simplify]: Extracting #5: cost 216 inf + 516 58.518 * * [simplify]: Extracting #6: cost 139 inf + 17570 58.534 * * [simplify]: Extracting #7: cost 26 inf + 77715 58.559 * * [simplify]: Extracting #8: cost 0 inf + 103383 58.593 * * [simplify]: Extracting #9: cost 0 inf + 103010 58.612 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 58.612 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)))) 58.612 * * * * [progress]: [ 16 / 196 ] simplifiying candidate # 58.613 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 58.613 * * [simplify]: iters left: 6 (13 enodes) 58.617 * * [simplify]: iters left: 5 (52 enodes) 58.625 * * [simplify]: iters left: 4 (80 enodes) 58.649 * * [simplify]: iters left: 3 (129 enodes) 58.674 * * [simplify]: iters left: 2 (247 enodes) 58.764 * * [simplify]: iters left: 1 (496 enodes) 59.137 * * [simplify]: Extracting #0: cost 1 inf + 0 59.137 * * [simplify]: Extracting #1: cost 27 inf + 0 59.138 * * [simplify]: Extracting #2: cost 185 inf + 1 59.143 * * [simplify]: Extracting #3: cost 435 inf + 1751 59.146 * * [simplify]: Extracting #4: cost 387 inf + 12595 59.149 * * [simplify]: Extracting #5: cost 355 inf + 17181 59.164 * * [simplify]: Extracting #6: cost 165 inf + 64483 59.192 * * [simplify]: Extracting #7: cost 36 inf + 117851 59.234 * * [simplify]: Extracting #8: cost 0 inf + 151916 59.293 * * [simplify]: Extracting #9: cost 0 inf + 150012 59.352 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 59.352 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 59.352 * * * * [progress]: [ 17 / 196 ] simplifiying candidate # 59.353 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) 59.353 * * [simplify]: iters left: 6 (12 enodes) 59.360 * * [simplify]: iters left: 5 (47 enodes) 59.376 * * [simplify]: iters left: 4 (71 enodes) 59.399 * * [simplify]: iters left: 3 (109 enodes) 59.439 * * [simplify]: iters left: 2 (192 enodes) 59.481 * * [simplify]: iters left: 1 (370 enodes) 59.761 * * [simplify]: Extracting #0: cost 1 inf + 0 59.762 * * [simplify]: Extracting #1: cost 29 inf + 0 59.762 * * [simplify]: Extracting #2: cost 139 inf + 1 59.764 * * [simplify]: Extracting #3: cost 265 inf + 255 59.766 * * [simplify]: Extracting #4: cost 240 inf + 3440 59.769 * * [simplify]: Extracting #5: cost 188 inf + 10463 59.777 * * [simplify]: Extracting #6: cost 70 inf + 42496 59.792 * * [simplify]: Extracting #7: cost 7 inf + 87930 59.829 * * [simplify]: Extracting #8: cost 0 inf + 94725 59.866 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) 59.866 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 59.866 * * * * [progress]: [ 18 / 196 ] simplifiying candidate # 59.867 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) 59.867 * * [simplify]: iters left: 6 (11 enodes) 59.873 * * [simplify]: iters left: 5 (42 enodes) 59.886 * * [simplify]: iters left: 4 (64 enodes) 59.901 * * [simplify]: iters left: 3 (97 enodes) 59.918 * * [simplify]: iters left: 2 (155 enodes) 59.949 * * [simplify]: iters left: 1 (284 enodes) 60.053 * * [simplify]: Extracting #0: cost 1 inf + 0 60.053 * * [simplify]: Extracting #1: cost 31 inf + 0 60.053 * * [simplify]: Extracting #2: cost 105 inf + 1 60.054 * * [simplify]: Extracting #3: cost 137 inf + 133 60.054 * * [simplify]: Extracting #4: cost 131 inf + 389 60.055 * * [simplify]: Extracting #5: cost 119 inf + 1499 60.057 * * [simplify]: Extracting #6: cost 72 inf + 14732 60.063 * * [simplify]: Extracting #7: cost 21 inf + 48863 60.073 * * [simplify]: Extracting #8: cost 0 inf + 69103 60.091 * * [simplify]: Extracting #9: cost 0 inf + 69063 60.111 * [simplify]: Simplified to (pow (* (* 2 PI) n) (sqrt (- 1 k))) 60.111 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)))) 60.111 * * * * [progress]: [ 19 / 196 ] simplifiying candidate # 60.112 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 60.112 * * [simplify]: iters left: 6 (10 enodes) 60.118 * * [simplify]: iters left: 5 (41 enodes) 60.131 * * [simplify]: iters left: 4 (66 enodes) 60.142 * * [simplify]: iters left: 3 (115 enodes) 60.164 * * [simplify]: iters left: 2 (218 enodes) 60.241 * * [simplify]: Extracting #0: cost 1 inf + 0 60.241 * * [simplify]: Extracting #1: cost 12 inf + 0 60.242 * * [simplify]: Extracting #2: cost 69 inf + 1 60.242 * * [simplify]: Extracting #3: cost 119 inf + 6 60.242 * * [simplify]: Extracting #4: cost 103 inf + 1724 60.244 * * [simplify]: Extracting #5: cost 46 inf + 13084 60.249 * * [simplify]: Extracting #6: cost 2 inf + 34728 60.254 * * [simplify]: Extracting #7: cost 0 inf + 36339 60.265 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) 60.266 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 60.266 * * * * [progress]: [ 20 / 196 ] simplifiying candidate # 60.266 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 60.266 * * [simplify]: iters left: 5 (9 enodes) 60.272 * * [simplify]: iters left: 4 (36 enodes) 60.288 * * [simplify]: iters left: 3 (57 enodes) 60.308 * * [simplify]: iters left: 2 (97 enodes) 60.331 * * [simplify]: iters left: 1 (172 enodes) 60.389 * * [simplify]: Extracting #0: cost 1 inf + 0 60.389 * * [simplify]: Extracting #1: cost 12 inf + 0 60.389 * * [simplify]: Extracting #2: cost 51 inf + 1 60.390 * * [simplify]: Extracting #3: cost 78 inf + 6 60.391 * * [simplify]: Extracting #4: cost 67 inf + 883 60.393 * * [simplify]: Extracting #5: cost 33 inf + 6573 60.397 * * [simplify]: Extracting #6: cost 12 inf + 14322 60.403 * * [simplify]: Extracting #7: cost 0 inf + 23714 60.410 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 60.410 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 60.411 * * * * [progress]: [ 21 / 196 ] simplifiying candidate # 60.411 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 1)) 60.411 * * [simplify]: iters left: 5 (8 enodes) 60.417 * * [simplify]: iters left: 4 (34 enodes) 60.431 * * [simplify]: iters left: 3 (64 enodes) 60.453 * * [simplify]: iters left: 2 (105 enodes) 60.490 * * [simplify]: iters left: 1 (177 enodes) 60.560 * * [simplify]: Extracting #0: cost 1 inf + 0 60.560 * * [simplify]: Extracting #1: cost 17 inf + 0 60.561 * * [simplify]: Extracting #2: cost 34 inf + 46 60.561 * * [simplify]: Extracting #3: cost 25 inf + 760 60.562 * * [simplify]: Extracting #4: cost 15 inf + 4563 60.565 * * [simplify]: Extracting #5: cost 0 inf + 11179 60.568 * [simplify]: Simplified to (* (* n PI) 2) 60.568 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 60.568 * * * * [progress]: [ 22 / 196 ] simplifiying candidate # 60.568 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 60.568 * * [simplify]: iters left: 6 (14 enodes) 60.576 * * [simplify]: iters left: 5 (54 enodes) 60.594 * * [simplify]: iters left: 4 (79 enodes) 60.619 * * [simplify]: iters left: 3 (128 enodes) 60.651 * * [simplify]: iters left: 2 (254 enodes) 60.744 * * [simplify]: Extracting #0: cost 1 inf + 0 60.744 * * [simplify]: Extracting #1: cost 12 inf + 0 60.744 * * [simplify]: Extracting #2: cost 77 inf + 1 60.745 * * [simplify]: Extracting #3: cost 139 inf + 6 60.747 * * [simplify]: Extracting #4: cost 120 inf + 3050 60.749 * * [simplify]: Extracting #5: cost 100 inf + 5683 60.754 * * [simplify]: Extracting #6: cost 57 inf + 16542 60.768 * * [simplify]: Extracting #7: cost 17 inf + 33748 60.783 * * [simplify]: Extracting #8: cost 1 inf + 48813 60.799 * * [simplify]: Extracting #9: cost 0 inf + 49839 60.814 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 60.814 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* n 2) PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))) 60.815 * * * * [progress]: [ 23 / 196 ] simplifiying candidate # 60.815 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 60.815 * * [simplify]: iters left: 6 (13 enodes) 60.824 * * [simplify]: iters left: 5 (49 enodes) 60.839 * * [simplify]: iters left: 4 (70 enodes) 60.862 * * [simplify]: iters left: 3 (108 enodes) 60.886 * * [simplify]: iters left: 2 (196 enodes) 60.962 * * [simplify]: iters left: 1 (369 enodes) 61.162 * * [simplify]: Extracting #0: cost 1 inf + 0 61.162 * * [simplify]: Extracting #1: cost 28 inf + 0 61.162 * * [simplify]: Extracting #2: cost 140 inf + 1 61.163 * * [simplify]: Extracting #3: cost 240 inf + 216 61.164 * * [simplify]: Extracting #4: cost 244 inf + 550 61.166 * * [simplify]: Extracting #5: cost 192 inf + 6320 61.171 * * [simplify]: Extracting #6: cost 88 inf + 27115 61.186 * * [simplify]: Extracting #7: cost 27 inf + 62667 61.201 * * [simplify]: Extracting #8: cost 0 inf + 90946 61.219 * * [simplify]: Extracting #9: cost 0 inf + 90944 61.251 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 61.251 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))) 61.252 * * * * [progress]: [ 24 / 196 ] simplifiying candidate # 61.252 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) 61.252 * * [simplify]: iters left: 6 (12 enodes) 61.260 * * [simplify]: iters left: 5 (44 enodes) 61.273 * * [simplify]: iters left: 4 (63 enodes) 61.284 * * [simplify]: iters left: 3 (97 enodes) 61.302 * * [simplify]: iters left: 2 (162 enodes) 61.339 * * [simplify]: iters left: 1 (291 enodes) 61.462 * * [simplify]: Extracting #0: cost 1 inf + 0 61.462 * * [simplify]: Extracting #1: cost 28 inf + 0 61.462 * * [simplify]: Extracting #2: cost 108 inf + 1 61.464 * * [simplify]: Extracting #3: cost 143 inf + 257 61.465 * * [simplify]: Extracting #4: cost 135 inf + 707 61.468 * * [simplify]: Extracting #5: cost 104 inf + 5965 61.476 * * [simplify]: Extracting #6: cost 39 inf + 44492 61.489 * * [simplify]: Extracting #7: cost 1 inf + 75289 61.499 * * [simplify]: Extracting #8: cost 0 inf + 74096 61.513 * * [simplify]: Extracting #9: cost 0 inf + 73660 61.530 * [simplify]: Simplified to (pow (* (* 2 PI) n) (+ 1 (sqrt k))) 61.530 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)))) 61.530 * * * * [progress]: [ 25 / 196 ] simplifiying candidate # 61.531 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 61.531 * * [simplify]: iters left: 6 (13 enodes) 61.537 * * [simplify]: iters left: 5 (51 enodes) 61.545 * * [simplify]: iters left: 4 (76 enodes) 61.558 * * [simplify]: iters left: 3 (125 enodes) 61.599 * * [simplify]: iters left: 2 (251 enodes) 61.658 * * [simplify]: Extracting #0: cost 1 inf + 0 61.658 * * [simplify]: Extracting #1: cost 13 inf + 0 61.658 * * [simplify]: Extracting #2: cost 75 inf + 1 61.659 * * [simplify]: Extracting #3: cost 136 inf + 87 61.659 * * [simplify]: Extracting #4: cost 118 inf + 3130 61.660 * * [simplify]: Extracting #5: cost 98 inf + 5685 61.666 * * [simplify]: Extracting #6: cost 51 inf + 17737 61.672 * * [simplify]: Extracting #7: cost 9 inf + 41131 61.684 * * [simplify]: Extracting #8: cost 0 inf + 48577 61.700 * * [simplify]: Extracting #9: cost 0 inf + 48486 61.715 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 61.715 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 61.716 * * * * [progress]: [ 26 / 196 ] simplifiying candidate # 61.716 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 61.716 * * [simplify]: iters left: 6 (12 enodes) 61.723 * * [simplify]: iters left: 5 (46 enodes) 61.737 * * [simplify]: iters left: 4 (67 enodes) 61.755 * * [simplify]: iters left: 3 (106 enodes) 61.775 * * [simplify]: iters left: 2 (197 enodes) 61.830 * * [simplify]: iters left: 1 (375 enodes) 62.076 * * [simplify]: Extracting #0: cost 1 inf + 0 62.076 * * [simplify]: Extracting #1: cost 30 inf + 0 62.077 * * [simplify]: Extracting #2: cost 149 inf + 1 62.081 * * [simplify]: Extracting #3: cost 259 inf + 299 62.082 * * [simplify]: Extracting #4: cost 242 inf + 2626 62.084 * * [simplify]: Extracting #5: cost 213 inf + 6078 62.089 * * [simplify]: Extracting #6: cost 116 inf + 28477 62.105 * * [simplify]: Extracting #7: cost 21 inf + 84068 62.142 * * [simplify]: Extracting #8: cost 0 inf + 102802 62.166 * * [simplify]: Extracting #9: cost 0 inf + 102602 62.187 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 62.187 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 62.187 * * * * [progress]: [ 27 / 196 ] simplifiying candidate # 62.187 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) 62.187 * * [simplify]: iters left: 6 (11 enodes) 62.193 * * [simplify]: iters left: 5 (41 enodes) 62.202 * * [simplify]: iters left: 4 (60 enodes) 62.212 * * [simplify]: iters left: 3 (93 enodes) 62.227 * * [simplify]: iters left: 2 (155 enodes) 62.278 * * [simplify]: iters left: 1 (290 enodes) 62.470 * * [simplify]: Extracting #0: cost 1 inf + 0 62.470 * * [simplify]: Extracting #1: cost 27 inf + 0 62.471 * * [simplify]: Extracting #2: cost 99 inf + 1 62.472 * * [simplify]: Extracting #3: cost 130 inf + 216 62.473 * * [simplify]: Extracting #4: cost 123 inf + 512 62.476 * * [simplify]: Extracting #5: cost 84 inf + 6200 62.484 * * [simplify]: Extracting #6: cost 43 inf + 26230 62.500 * * [simplify]: Extracting #7: cost 1 inf + 63447 62.518 * * [simplify]: Extracting #8: cost 0 inf + 64405 62.536 * [simplify]: Simplified to (pow (* (* 2 PI) n) (+ 1 (sqrt k))) 62.537 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 62.537 * * * * [progress]: [ 28 / 196 ] simplifiying candidate # 62.537 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 62.537 * * [simplify]: iters left: 6 (10 enodes) 62.543 * * [simplify]: iters left: 5 (41 enodes) 62.560 * * [simplify]: iters left: 4 (66 enodes) 62.583 * * [simplify]: iters left: 3 (115 enodes) 62.610 * * [simplify]: iters left: 2 (218 enodes) 62.710 * * [simplify]: Extracting #0: cost 1 inf + 0 62.710 * * [simplify]: Extracting #1: cost 12 inf + 0 62.711 * * [simplify]: Extracting #2: cost 69 inf + 1 62.711 * * [simplify]: Extracting #3: cost 119 inf + 6 62.712 * * [simplify]: Extracting #4: cost 103 inf + 1724 62.716 * * [simplify]: Extracting #5: cost 46 inf + 13084 62.726 * * [simplify]: Extracting #6: cost 2 inf + 34728 62.736 * * [simplify]: Extracting #7: cost 0 inf + 36339 62.747 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) 62.747 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 62.747 * * * * [progress]: [ 29 / 196 ] simplifiying candidate # 62.748 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 62.748 * * [simplify]: iters left: 5 (9 enodes) 62.752 * * [simplify]: iters left: 4 (36 enodes) 62.758 * * [simplify]: iters left: 3 (57 enodes) 62.771 * * [simplify]: iters left: 2 (97 enodes) 62.800 * * [simplify]: iters left: 1 (172 enodes) 62.873 * * [simplify]: Extracting #0: cost 1 inf + 0 62.873 * * [simplify]: Extracting #1: cost 12 inf + 0 62.874 * * [simplify]: Extracting #2: cost 51 inf + 1 62.874 * * [simplify]: Extracting #3: cost 78 inf + 6 62.874 * * [simplify]: Extracting #4: cost 67 inf + 883 62.875 * * [simplify]: Extracting #5: cost 33 inf + 6573 62.878 * * [simplify]: Extracting #6: cost 12 inf + 14322 62.881 * * [simplify]: Extracting #7: cost 0 inf + 23714 62.886 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) 62.886 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 62.887 * * * * [progress]: [ 30 / 196 ] simplifiying candidate # 62.887 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ 1 1)) 62.887 * * [simplify]: iters left: 5 (8 enodes) 62.890 * * [simplify]: iters left: 4 (34 enodes) 62.898 * * [simplify]: iters left: 3 (64 enodes) 62.915 * * [simplify]: iters left: 2 (105 enodes) 62.944 * * [simplify]: iters left: 1 (177 enodes) 62.987 * * [simplify]: Extracting #0: cost 1 inf + 0 62.987 * * [simplify]: Extracting #1: cost 17 inf + 0 62.987 * * [simplify]: Extracting #2: cost 34 inf + 46 62.987 * * [simplify]: Extracting #3: cost 25 inf + 760 62.989 * * [simplify]: Extracting #4: cost 15 inf + 4563 62.991 * * [simplify]: Extracting #5: cost 0 inf + 11179 62.994 * [simplify]: Simplified to (* (* n PI) 2) 62.995 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 62.995 * * * * [progress]: [ 31 / 196 ] simplifiying candidate # 62.995 * [simplify]: Simplifying (pow (* (* 2 PI) n) 1) 62.995 * * [simplify]: iters left: 5 (7 enodes) 63.001 * * [simplify]: iters left: 4 (30 enodes) 63.013 * * [simplify]: iters left: 3 (58 enodes) 63.036 * * [simplify]: iters left: 2 (99 enodes) 63.071 * * [simplify]: iters left: 1 (171 enodes) 63.134 * * [simplify]: Extracting #0: cost 1 inf + 0 63.134 * * [simplify]: Extracting #1: cost 18 inf + 0 63.134 * * [simplify]: Extracting #2: cost 35 inf + 46 63.134 * * [simplify]: Extracting #3: cost 24 inf + 1389 63.135 * * [simplify]: Extracting #4: cost 13 inf + 5947 63.136 * * [simplify]: Extracting #5: cost 7 inf + 7909 63.137 * * [simplify]: Extracting #6: cost 0 inf + 11764 63.139 * [simplify]: Simplified to (* (* 2 PI) n) 63.139 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 63.139 * * * * [progress]: [ 32 / 196 ] simplifiying candidate # 63.139 * [simplify]: Simplifying (pow (* (* 2 PI) n) (- 1 k)) 63.139 * * [simplify]: iters left: 5 (9 enodes) 63.142 * * [simplify]: iters left: 4 (38 enodes) 63.149 * * [simplify]: iters left: 3 (64 enodes) 63.161 * * [simplify]: iters left: 2 (101 enodes) 63.198 * * [simplify]: iters left: 1 (174 enodes) 63.266 * * [simplify]: Extracting #0: cost 1 inf + 0 63.266 * * [simplify]: Extracting #1: cost 13 inf + 0 63.267 * * [simplify]: Extracting #2: cost 62 inf + 1 63.267 * * [simplify]: Extracting #3: cost 86 inf + 132 63.269 * * [simplify]: Extracting #4: cost 56 inf + 3482 63.271 * * [simplify]: Extracting #5: cost 24 inf + 12292 63.274 * * [simplify]: Extracting #6: cost 2 inf + 25818 63.278 * * [simplify]: Extracting #7: cost 0 inf + 26690 63.281 * * [simplify]: Extracting #8: cost 0 inf + 26650 63.285 * [simplify]: Simplified to (pow (* 2 (* n PI)) (- 1 k)) 63.285 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (- 1 k)) (/ 1 2)))) 63.285 * * * * [progress]: [ 33 / 196 ] simplifiying candidate # 63.286 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 63.286 * * [simplify]: iters left: 5 (8 enodes) 63.288 * * [simplify]: iters left: 4 (36 enodes) 63.299 * * [simplify]: iters left: 3 (57 enodes) 63.317 * * [simplify]: iters left: 2 (92 enodes) 63.354 * * [simplify]: iters left: 1 (188 enodes) 63.401 * * [simplify]: Extracting #0: cost 1 inf + 0 63.401 * * [simplify]: Extracting #1: cost 13 inf + 0 63.402 * * [simplify]: Extracting #2: cost 57 inf + 1 63.402 * * [simplify]: Extracting #3: cost 92 inf + 6 63.403 * * [simplify]: Extracting #4: cost 87 inf + 1221 63.406 * * [simplify]: Extracting #5: cost 34 inf + 9913 63.411 * * [simplify]: Extracting #6: cost 17 inf + 13054 63.415 * * [simplify]: Extracting #7: cost 0 inf + 24512 63.419 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 63.419 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 63.420 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 63.420 * * [simplify]: iters left: 5 (7 enodes) 63.422 * * [simplify]: iters left: 4 (32 enodes) 63.428 * * [simplify]: iters left: 3 (57 enodes) 63.438 * * [simplify]: iters left: 2 (90 enodes) 63.466 * * [simplify]: iters left: 1 (170 enodes) 63.510 * * [simplify]: Extracting #0: cost 1 inf + 0 63.510 * * [simplify]: Extracting #1: cost 13 inf + 0 63.511 * * [simplify]: Extracting #2: cost 54 inf + 2 63.511 * * [simplify]: Extracting #3: cost 89 inf + 6 63.512 * * [simplify]: Extracting #4: cost 78 inf + 1344 63.515 * * [simplify]: Extracting #5: cost 20 inf + 14664 63.520 * * [simplify]: Extracting #6: cost 1 inf + 22045 63.524 * * [simplify]: Extracting #7: cost 0 inf + 21300 63.528 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 63.528 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 63.528 * * * * [progress]: [ 34 / 196 ] simplifiying candidate # 63.529 * * * * [progress]: [ 35 / 196 ] simplifiying candidate # 63.529 * [simplify]: Simplifying (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 63.529 * * [simplify]: iters left: 6 (11 enodes) 63.532 * * [simplify]: iters left: 5 (50 enodes) 63.544 * * [simplify]: iters left: 4 (97 enodes) 63.571 * * [simplify]: iters left: 3 (196 enodes) 63.628 * * [simplify]: Extracting #0: cost 1 inf + 0 63.628 * * [simplify]: Extracting #1: cost 49 inf + 0 63.629 * * [simplify]: Extracting #2: cost 134 inf + 1 63.629 * * [simplify]: Extracting #3: cost 179 inf + 332 63.631 * * [simplify]: Extracting #4: cost 130 inf + 6889 63.636 * * [simplify]: Extracting #5: cost 23 inf + 29000 63.644 * * [simplify]: Extracting #6: cost 0 inf + 37390 63.650 * * [simplify]: Extracting #7: cost 0 inf + 37310 63.658 * [simplify]: Simplified to (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) 63.658 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2)))) 63.658 * * * * [progress]: [ 36 / 196 ] simplifiying candidate # 63.659 * [simplify]: Simplifying (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 63.659 * * [simplify]: iters left: 6 (11 enodes) 63.665 * * [simplify]: iters left: 5 (48 enodes) 63.680 * * [simplify]: iters left: 4 (79 enodes) 63.698 * * [simplify]: iters left: 3 (126 enodes) 63.735 * * [simplify]: iters left: 2 (245 enodes) 63.817 * * [simplify]: iters left: 1 (486 enodes) 64.027 * * [simplify]: Extracting #0: cost 1 inf + 0 64.028 * * [simplify]: Extracting #1: cost 26 inf + 0 64.028 * * [simplify]: Extracting #2: cost 133 inf + 0 64.030 * * [simplify]: Extracting #3: cost 270 inf + 4 64.032 * * [simplify]: Extracting #4: cost 290 inf + 182 64.034 * * [simplify]: Extracting #5: cost 283 inf + 1013 64.040 * * [simplify]: Extracting #6: cost 205 inf + 15351 64.058 * * [simplify]: Extracting #7: cost 99 inf + 69324 64.084 * * [simplify]: Extracting #8: cost 9 inf + 141914 64.113 * * [simplify]: Extracting #9: cost 0 inf + 148687 64.135 * [simplify]: Simplified to (exp (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 64.135 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 64.135 * * * * [progress]: [ 37 / 196 ] simplifiying candidate # 64.136 * [simplify]: Simplifying (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.136 * * [simplify]: iters left: 6 (12 enodes) 64.139 * * [simplify]: iters left: 5 (51 enodes) 64.150 * * [simplify]: iters left: 4 (84 enodes) 64.172 * * [simplify]: iters left: 3 (127 enodes) 64.198 * * [simplify]: iters left: 2 (212 enodes) 64.273 * * [simplify]: iters left: 1 (389 enodes) 64.455 * * [simplify]: Extracting #0: cost 1 inf + 0 64.455 * * [simplify]: Extracting #1: cost 3 inf + 0 64.455 * * [simplify]: Extracting #2: cost 5 inf + 0 64.455 * * [simplify]: Extracting #3: cost 33 inf + 0 64.456 * * [simplify]: Extracting #4: cost 118 inf + 1 64.457 * * [simplify]: Extracting #5: cost 169 inf + 176 64.458 * * [simplify]: Extracting #6: cost 169 inf + 560 64.462 * * [simplify]: Extracting #7: cost 106 inf + 6960 64.470 * * [simplify]: Extracting #8: cost 32 inf + 42148 64.480 * * [simplify]: Extracting #9: cost 0 inf + 70978 64.491 * * [simplify]: Extracting #10: cost 0 inf + 69991 64.509 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.509 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 64.510 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 64.510 * * [simplify]: iters left: 6 (11 enodes) 64.513 * * [simplify]: iters left: 5 (48 enodes) 64.522 * * [simplify]: iters left: 4 (77 enodes) 64.538 * * [simplify]: iters left: 3 (120 enodes) 64.575 * * [simplify]: iters left: 2 (218 enodes) 64.624 * * [simplify]: iters left: 1 (399 enodes) 64.785 * * [simplify]: Extracting #0: cost 1 inf + 0 64.785 * * [simplify]: Extracting #1: cost 3 inf + 0 64.785 * * [simplify]: Extracting #2: cost 29 inf + 0 64.785 * * [simplify]: Extracting #3: cost 107 inf + 1 64.787 * * [simplify]: Extracting #4: cost 179 inf + 134 64.789 * * [simplify]: Extracting #5: cost 155 inf + 2293 64.795 * * [simplify]: Extracting #6: cost 73 inf + 13343 64.808 * * [simplify]: Extracting #7: cost 23 inf + 42764 64.822 * * [simplify]: Extracting #8: cost 0 inf + 63829 64.833 * * [simplify]: Extracting #9: cost 0 inf + 62090 64.850 * * [simplify]: Extracting #10: cost 0 inf + 61200 64.872 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 64.872 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 64.872 * * * * [progress]: [ 38 / 196 ] simplifiying candidate # 64.873 * [simplify]: Simplifying (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 64.873 * * [simplify]: iters left: 6 (12 enodes) 64.881 * * [simplify]: iters left: 5 (54 enodes) 64.900 * * [simplify]: iters left: 4 (107 enodes) 64.947 * * [simplify]: iters left: 3 (224 enodes) 65.002 * * [simplify]: iters left: 2 (478 enodes) 65.316 * * [simplify]: Extracting #0: cost 1 inf + 0 65.317 * * [simplify]: Extracting #1: cost 51 inf + 0 65.318 * * [simplify]: Extracting #2: cost 149 inf + 3 65.319 * * [simplify]: Extracting #3: cost 205 inf + 5 65.321 * * [simplify]: Extracting #4: cost 210 inf + 806 65.327 * * [simplify]: Extracting #5: cost 135 inf + 17460 65.353 * * [simplify]: Extracting #6: cost 46 inf + 90894 65.375 * * [simplify]: Extracting #7: cost 0 inf + 132089 65.398 * * [simplify]: Extracting #8: cost 0 inf + 127585 65.435 * * [simplify]: Extracting #9: cost 0 inf + 127506 65.481 * [simplify]: Simplified to (pow (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) 3) 65.481 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) 3)))) 65.481 * * * * [progress]: [ 39 / 196 ] simplifiying candidate # 65.482 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 65.482 * * [simplify]: iters left: 6 (11 enodes) 65.489 * * [simplify]: iters left: 5 (48 enodes) 65.506 * * [simplify]: iters left: 4 (78 enodes) 65.531 * * [simplify]: iters left: 3 (121 enodes) 65.556 * * [simplify]: iters left: 2 (222 enodes) 65.605 * * [simplify]: iters left: 1 (410 enodes) 65.755 * * [simplify]: Extracting #0: cost 1 inf + 0 65.756 * * [simplify]: Extracting #1: cost 4 inf + 0 65.756 * * [simplify]: Extracting #2: cost 33 inf + 0 65.757 * * [simplify]: Extracting #3: cost 124 inf + 1 65.758 * * [simplify]: Extracting #4: cost 171 inf + 136 65.760 * * [simplify]: Extracting #5: cost 147 inf + 2296 65.768 * * [simplify]: Extracting #6: cost 53 inf + 23650 65.779 * * [simplify]: Extracting #7: cost 4 inf + 57859 65.789 * * [simplify]: Extracting #8: cost 0 inf + 61561 65.798 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 65.798 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 65.799 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 65.799 * * [simplify]: iters left: 6 (11 enodes) 65.802 * * [simplify]: iters left: 5 (48 enodes) 65.819 * * [simplify]: iters left: 4 (78 enodes) 65.840 * * [simplify]: iters left: 3 (121 enodes) 65.868 * * [simplify]: iters left: 2 (222 enodes) 65.930 * * [simplify]: iters left: 1 (410 enodes) 66.101 * * [simplify]: Extracting #0: cost 1 inf + 0 66.101 * * [simplify]: Extracting #1: cost 4 inf + 0 66.101 * * [simplify]: Extracting #2: cost 33 inf + 0 66.102 * * [simplify]: Extracting #3: cost 124 inf + 1 66.103 * * [simplify]: Extracting #4: cost 171 inf + 136 66.104 * * [simplify]: Extracting #5: cost 147 inf + 2296 66.108 * * [simplify]: Extracting #6: cost 53 inf + 23650 66.119 * * [simplify]: Extracting #7: cost 4 inf + 57859 66.138 * * [simplify]: Extracting #8: cost 0 inf + 61561 66.148 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 66.148 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 66.148 * * * * [progress]: [ 40 / 196 ] simplifiying candidate # 66.148 * * * * [progress]: [ 41 / 196 ] simplifiying candidate # 66.148 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 66.149 * * [simplify]: iters left: 6 (11 enodes) 66.153 * * [simplify]: iters left: 5 (51 enodes) 66.162 * * [simplify]: iters left: 4 (87 enodes) 66.180 * * [simplify]: iters left: 3 (146 enodes) 66.229 * * [simplify]: iters left: 2 (263 enodes) 66.299 * * [simplify]: iters left: 1 (491 enodes) 66.525 * * [simplify]: Extracting #0: cost 1 inf + 0 66.525 * * [simplify]: Extracting #1: cost 26 inf + 0 66.526 * * [simplify]: Extracting #2: cost 120 inf + 1 66.527 * * [simplify]: Extracting #3: cost 210 inf + 137 66.529 * * [simplify]: Extracting #4: cost 205 inf + 1350 66.537 * * [simplify]: Extracting #5: cost 94 inf + 15920 66.552 * * [simplify]: Extracting #6: cost 24 inf + 48477 66.564 * * [simplify]: Extracting #7: cost 0 inf + 68785 66.575 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 66.575 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 66.576 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 66.576 * * [simplify]: iters left: 6 (11 enodes) 66.579 * * [simplify]: iters left: 5 (51 enodes) 66.590 * * [simplify]: iters left: 4 (87 enodes) 66.625 * * [simplify]: iters left: 3 (146 enodes) 66.656 * * [simplify]: iters left: 2 (263 enodes) 66.740 * * [simplify]: iters left: 1 (491 enodes) 66.962 * * [simplify]: Extracting #0: cost 1 inf + 0 66.962 * * [simplify]: Extracting #1: cost 26 inf + 0 66.963 * * [simplify]: Extracting #2: cost 120 inf + 1 66.963 * * [simplify]: Extracting #3: cost 210 inf + 137 66.968 * * [simplify]: Extracting #4: cost 205 inf + 1350 66.971 * * [simplify]: Extracting #5: cost 94 inf + 15920 66.979 * * [simplify]: Extracting #6: cost 24 inf + 48477 66.990 * * [simplify]: Extracting #7: cost 0 inf + 68785 67.001 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 67.001 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))))) 67.001 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 67.001 * [simplify]: Simplifying (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 67.001 * * [simplify]: iters left: 6 (11 enodes) 67.005 * * [simplify]: iters left: 5 (45 enodes) 67.018 * * [simplify]: iters left: 4 (74 enodes) 67.043 * * [simplify]: iters left: 3 (118 enodes) 67.079 * * [simplify]: iters left: 2 (216 enodes) 67.139 * * [simplify]: iters left: 1 (389 enodes) 67.284 * * [simplify]: Extracting #0: cost 1 inf + 0 67.284 * * [simplify]: Extracting #1: cost 2 inf + 0 67.284 * * [simplify]: Extracting #2: cost 30 inf + 0 67.285 * * [simplify]: Extracting #3: cost 110 inf + 1 67.286 * * [simplify]: Extracting #4: cost 170 inf + 176 67.288 * * [simplify]: Extracting #5: cost 167 inf + 643 67.292 * * [simplify]: Extracting #6: cost 101 inf + 8303 67.305 * * [simplify]: Extracting #7: cost 36 inf + 36885 67.327 * * [simplify]: Extracting #8: cost 0 inf + 70185 67.349 * * [simplify]: Extracting #9: cost 0 inf + 69363 67.371 * [simplify]: Simplified to (real->posit16 (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 67.371 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 67.371 * * * * [progress]: [ 43 / 196 ] simplifiying candidate # 67.372 * [simplify]: Simplifying (expm1 (/ 1 (sqrt k))) 67.372 * * [simplify]: iters left: 4 (5 enodes) 67.378 * * [simplify]: iters left: 3 (17 enodes) 67.384 * * [simplify]: iters left: 2 (19 enodes) 67.390 * * [simplify]: Extracting #0: cost 1 inf + 0 67.390 * * [simplify]: Extracting #1: cost 3 inf + 0 67.390 * * [simplify]: Extracting #2: cost 6 inf + 0 67.390 * * [simplify]: Extracting #3: cost 7 inf + 1 67.390 * * [simplify]: Extracting #4: cost 0 inf + 552 67.391 * [simplify]: Simplified to (expm1 (/ 1 (sqrt k))) 67.391 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.391 * * * * [progress]: [ 44 / 196 ] simplifiying candidate # 67.391 * [simplify]: Simplifying (log1p (/ 1 (sqrt k))) 67.391 * * [simplify]: iters left: 4 (5 enodes) 67.394 * * [simplify]: iters left: 3 (17 enodes) 67.399 * * [simplify]: iters left: 2 (19 enodes) 67.405 * * [simplify]: Extracting #0: cost 1 inf + 0 67.405 * * [simplify]: Extracting #1: cost 3 inf + 0 67.405 * * [simplify]: Extracting #2: cost 6 inf + 0 67.405 * * [simplify]: Extracting #3: cost 7 inf + 1 67.405 * * [simplify]: Extracting #4: cost 0 inf + 592 67.406 * [simplify]: Simplified to (log1p (/ 1 (sqrt k))) 67.406 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.406 * * * * [progress]: [ 45 / 196 ] simplifiying candidate # 67.406 * * * * [progress]: [ 46 / 196 ] simplifiying candidate # 67.406 * [simplify]: Simplifying (- 1/2) 67.406 * * [simplify]: iters left: 2 (2 enodes) 67.408 * * [simplify]: iters left: 1 (7 enodes) 67.411 * * [simplify]: Extracting #0: cost 1 inf + 0 67.411 * * [simplify]: Extracting #1: cost 0 inf + 1 67.411 * [simplify]: Simplified to -1/2 67.411 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.411 * * * * [progress]: [ 47 / 196 ] simplifiying candidate # 67.411 * [simplify]: Simplifying (- 1) 67.411 * * [simplify]: iters left: 2 (2 enodes) 67.413 * * [simplify]: iters left: 1 (9 enodes) 67.416 * * [simplify]: Extracting #0: cost 1 inf + 0 67.416 * * [simplify]: Extracting #1: cost 0 inf + 1 67.416 * [simplify]: Simplified to -1 67.416 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.416 * * * * [progress]: [ 48 / 196 ] simplifiying candidate # 67.417 * [simplify]: Simplifying (- (/ 1 2)) 67.417 * * [simplify]: iters left: 4 (4 enodes) 67.421 * * [simplify]: iters left: 3 (19 enodes) 67.425 * * [simplify]: iters left: 2 (23 enodes) 67.428 * * [simplify]: Extracting #0: cost 1 inf + 0 67.428 * * [simplify]: Extracting #1: cost 0 inf + 1 67.428 * [simplify]: Simplified to -1/2 67.428 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.428 * * * * [progress]: [ 49 / 196 ] simplifiying candidate # 67.428 * * * * [progress]: [ 50 / 196 ] simplifiying candidate # 67.429 * [simplify]: Simplifying (- (log (sqrt k))) 67.429 * * [simplify]: iters left: 4 (4 enodes) 67.429 * * [simplify]: iters left: 3 (12 enodes) 67.431 * * [simplify]: Extracting #0: cost 1 inf + 0 67.431 * * [simplify]: Extracting #1: cost 3 inf + 0 67.431 * * [simplify]: Extracting #2: cost 5 inf + 0 67.431 * * [simplify]: Extracting #3: cost 7 inf + 0 67.431 * * [simplify]: Extracting #4: cost 6 inf + 1 67.431 * * [simplify]: Extracting #5: cost 0 inf + 607 67.431 * [simplify]: Simplified to (- (log (sqrt k))) 67.431 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.431 * * * * [progress]: [ 51 / 196 ] simplifiying candidate # 67.431 * [simplify]: Simplifying (- 0 (log (sqrt k))) 67.431 * * [simplify]: iters left: 4 (5 enodes) 67.433 * * [simplify]: iters left: 3 (17 enodes) 67.436 * * [simplify]: iters left: 2 (21 enodes) 67.439 * * [simplify]: iters left: 1 (23 enodes) 67.442 * * [simplify]: Extracting #0: cost 1 inf + 0 67.442 * * [simplify]: Extracting #1: cost 4 inf + 0 67.442 * * [simplify]: Extracting #2: cost 5 inf + 1 67.442 * * [simplify]: Extracting #3: cost 7 inf + 1 67.442 * * [simplify]: Extracting #4: cost 0 inf + 608 67.442 * [simplify]: Simplified to (- (log (sqrt k))) 67.442 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.442 * * * * [progress]: [ 52 / 196 ] simplifiying candidate # 67.443 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 67.443 * * [simplify]: iters left: 4 (6 enodes) 67.444 * * [simplify]: iters left: 3 (22 enodes) 67.448 * * [simplify]: Extracting #0: cost 1 inf + 0 67.448 * * [simplify]: Extracting #1: cost 4 inf + 0 67.448 * * [simplify]: Extracting #2: cost 5 inf + 1 67.448 * * [simplify]: Extracting #3: cost 7 inf + 1 67.448 * * [simplify]: Extracting #4: cost 6 inf + 2 67.448 * * [simplify]: Extracting #5: cost 1 inf + 457 67.448 * * [simplify]: Extracting #6: cost 0 inf + 608 67.448 * [simplify]: Simplified to (- (log (sqrt k))) 67.448 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.448 * * * * [progress]: [ 53 / 196 ] simplifiying candidate # 67.448 * [simplify]: Simplifying (log (/ 1 (sqrt k))) 67.448 * * [simplify]: iters left: 4 (5 enodes) 67.450 * * [simplify]: iters left: 3 (21 enodes) 67.453 * * [simplify]: iters left: 2 (25 enodes) 67.456 * * [simplify]: iters left: 1 (26 enodes) 67.463 * * [simplify]: Extracting #0: cost 1 inf + 0 67.463 * * [simplify]: Extracting #1: cost 5 inf + 0 67.463 * * [simplify]: Extracting #2: cost 8 inf + 1 67.463 * * [simplify]: Extracting #3: cost 9 inf + 2 67.463 * * [simplify]: Extracting #4: cost 8 inf + 3 67.463 * * [simplify]: Extracting #5: cost 2 inf + 512 67.464 * * [simplify]: Extracting #6: cost 0 inf + 774 67.464 * * [simplify]: Extracting #7: cost 0 inf + 773 67.464 * [simplify]: Simplified to (- (log (sqrt k))) 67.464 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.464 * * * * [progress]: [ 54 / 196 ] simplifiying candidate # 67.465 * [simplify]: Simplifying (exp (/ 1 (sqrt k))) 67.465 * * [simplify]: iters left: 4 (5 enodes) 67.467 * * [simplify]: iters left: 3 (17 enodes) 67.471 * * [simplify]: iters left: 2 (19 enodes) 67.474 * * [simplify]: Extracting #0: cost 1 inf + 0 67.474 * * [simplify]: Extracting #1: cost 3 inf + 0 67.474 * * [simplify]: Extracting #2: cost 6 inf + 0 67.474 * * [simplify]: Extracting #3: cost 7 inf + 1 67.474 * * [simplify]: Extracting #4: cost 0 inf + 552 67.474 * [simplify]: Simplified to (exp (/ 1 (sqrt k))) 67.474 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.474 * * * * [progress]: [ 55 / 196 ] simplifiying candidate # 67.475 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 67.475 * * [simplify]: iters left: 6 (8 enodes) 67.477 * * [simplify]: iters left: 5 (26 enodes) 67.480 * * [simplify]: iters left: 4 (43 enodes) 67.489 * * [simplify]: iters left: 3 (59 enodes) 67.497 * * [simplify]: iters left: 2 (67 enodes) 67.506 * * [simplify]: iters left: 1 (69 enodes) 67.515 * * [simplify]: Extracting #0: cost 1 inf + 0 67.515 * * [simplify]: Extracting #1: cost 14 inf + 0 67.515 * * [simplify]: Extracting #2: cost 18 inf + 2 67.515 * * [simplify]: Extracting #3: cost 7 inf + 701 67.515 * * [simplify]: Extracting #4: cost 0 inf + 1234 67.516 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 67.516 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.516 * * * * [progress]: [ 56 / 196 ] simplifiying candidate # 67.516 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 67.516 * * [simplify]: iters left: 6 (6 enodes) 67.518 * * [simplify]: iters left: 5 (20 enodes) 67.524 * * [simplify]: iters left: 4 (22 enodes) 67.530 * * [simplify]: Extracting #0: cost 1 inf + 0 67.530 * * [simplify]: Extracting #1: cost 3 inf + 0 67.530 * * [simplify]: Extracting #2: cost 5 inf + 0 67.530 * * [simplify]: Extracting #3: cost 8 inf + 0 67.530 * * [simplify]: Extracting #4: cost 9 inf + 1 67.531 * * [simplify]: Extracting #5: cost 8 inf + 2 67.531 * * [simplify]: Extracting #6: cost 1 inf + 774 67.531 * * [simplify]: Extracting #7: cost 0 inf + 976 67.531 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 67.531 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.532 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 67.532 * * [simplify]: iters left: 4 (5 enodes) 67.534 * * [simplify]: iters left: 3 (17 enodes) 67.540 * * [simplify]: iters left: 2 (19 enodes) 67.545 * * [simplify]: Extracting #0: cost 1 inf + 0 67.545 * * [simplify]: Extracting #1: cost 3 inf + 0 67.545 * * [simplify]: Extracting #2: cost 6 inf + 0 67.545 * * [simplify]: Extracting #3: cost 7 inf + 1 67.546 * * [simplify]: Extracting #4: cost 0 inf + 572 67.546 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 67.546 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.546 * * * * [progress]: [ 57 / 196 ] simplifiying candidate # 67.546 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) 67.546 * * [simplify]: iters left: 6 (6 enodes) 67.550 * * [simplify]: iters left: 5 (27 enodes) 67.560 * * [simplify]: iters left: 4 (40 enodes) 67.575 * * [simplify]: iters left: 3 (61 enodes) 67.597 * * [simplify]: iters left: 2 (92 enodes) 67.626 * * [simplify]: iters left: 1 (138 enodes) 67.656 * * [simplify]: Extracting #0: cost 1 inf + 0 67.656 * * [simplify]: Extracting #1: cost 21 inf + 0 67.657 * * [simplify]: Extracting #2: cost 43 inf + 3 67.657 * * [simplify]: Extracting #3: cost 26 inf + 3391 67.660 * * [simplify]: Extracting #4: cost 3 inf + 11339 67.662 * * [simplify]: Extracting #5: cost 0 inf + 12509 67.664 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 67.665 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.665 * * * * [progress]: [ 58 / 196 ] simplifiying candidate # 67.665 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 67.665 * * [simplify]: iters left: 4 (5 enodes) 67.668 * * [simplify]: iters left: 3 (17 enodes) 67.673 * * [simplify]: iters left: 2 (19 enodes) 67.679 * * [simplify]: Extracting #0: cost 1 inf + 0 67.679 * * [simplify]: Extracting #1: cost 3 inf + 0 67.679 * * [simplify]: Extracting #2: cost 6 inf + 0 67.679 * * [simplify]: Extracting #3: cost 7 inf + 1 67.679 * * [simplify]: Extracting #4: cost 0 inf + 492 67.680 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 67.680 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.680 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 67.680 * * [simplify]: iters left: 4 (5 enodes) 67.683 * * [simplify]: iters left: 3 (17 enodes) 67.688 * * [simplify]: iters left: 2 (19 enodes) 67.694 * * [simplify]: Extracting #0: cost 1 inf + 0 67.694 * * [simplify]: Extracting #1: cost 3 inf + 0 67.694 * * [simplify]: Extracting #2: cost 6 inf + 0 67.694 * * [simplify]: Extracting #3: cost 7 inf + 1 67.694 * * [simplify]: Extracting #4: cost 0 inf + 492 67.694 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 67.694 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.695 * * * * [progress]: [ 59 / 196 ] simplifiying candidate # 67.695 * [simplify]: Simplifying (- 1) 67.695 * * [simplify]: iters left: 2 (2 enodes) 67.697 * * [simplify]: iters left: 1 (9 enodes) 67.700 * * [simplify]: Extracting #0: cost 1 inf + 0 67.700 * * [simplify]: Extracting #1: cost 0 inf + 1 67.700 * [simplify]: Simplified to -1 67.700 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ -1 (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.701 * [simplify]: Simplifying (- (sqrt k)) 67.701 * * [simplify]: iters left: 3 (3 enodes) 67.702 * * [simplify]: iters left: 2 (9 enodes) 67.704 * * [simplify]: Extracting #0: cost 1 inf + 0 67.704 * * [simplify]: Extracting #1: cost 3 inf + 0 67.704 * * [simplify]: Extracting #2: cost 5 inf + 0 67.704 * * [simplify]: Extracting #3: cost 4 inf + 1 67.705 * * [simplify]: Extracting #4: cost 0 inf + 245 67.705 * [simplify]: Simplified to (- (sqrt k)) 67.705 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ -1 (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.705 * * * * [progress]: [ 60 / 196 ] simplifiying candidate # 67.705 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.705 * * [simplify]: iters left: 6 (8 enodes) 67.710 * * [simplify]: iters left: 5 (32 enodes) 67.721 * * [simplify]: iters left: 4 (48 enodes) 67.732 * * [simplify]: iters left: 3 (76 enodes) 67.744 * * [simplify]: iters left: 2 (81 enodes) 67.751 * * [simplify]: Extracting #0: cost 1 inf + 0 67.751 * * [simplify]: Extracting #1: cost 6 inf + 0 67.751 * * [simplify]: Extracting #2: cost 9 inf + 1 67.751 * * [simplify]: Extracting #3: cost 11 inf + 1 67.751 * * [simplify]: Extracting #4: cost 2 inf + 1052 67.752 * * [simplify]: Extracting #5: cost 0 inf + 1376 67.752 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.753 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.753 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 67.753 * * [simplify]: iters left: 4 (6 enodes) 67.757 * * [simplify]: iters left: 3 (20 enodes) 67.763 * * [simplify]: iters left: 2 (22 enodes) 67.769 * * [simplify]: Extracting #0: cost 1 inf + 0 67.769 * * [simplify]: Extracting #1: cost 4 inf + 0 67.769 * * [simplify]: Extracting #2: cost 5 inf + 1 67.769 * * [simplify]: Extracting #3: cost 7 inf + 1 67.769 * * [simplify]: Extracting #4: cost 1 inf + 488 67.770 * * [simplify]: Extracting #5: cost 0 inf + 650 67.770 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 67.770 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.770 * * * * [progress]: [ 61 / 196 ] simplifiying candidate # 67.770 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 67.770 * * [simplify]: iters left: 6 (8 enodes) 67.776 * * [simplify]: iters left: 5 (29 enodes) 67.785 * * [simplify]: iters left: 4 (31 enodes) 67.794 * * [simplify]: iters left: 3 (32 enodes) 67.802 * * [simplify]: iters left: 2 (33 enodes) 67.811 * * [simplify]: Extracting #0: cost 1 inf + 0 67.811 * * [simplify]: Extracting #1: cost 4 inf + 0 67.811 * * [simplify]: Extracting #2: cost 6 inf + 1 67.811 * * [simplify]: Extracting #3: cost 9 inf + 1 67.811 * * [simplify]: Extracting #4: cost 8 inf + 2 67.811 * * [simplify]: Extracting #5: cost 2 inf + 729 67.812 * * [simplify]: Extracting #6: cost 0 inf + 972 67.812 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 67.812 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.812 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 67.813 * * [simplify]: iters left: 4 (6 enodes) 67.817 * * [simplify]: iters left: 3 (20 enodes) 67.822 * * [simplify]: iters left: 2 (22 enodes) 67.826 * * [simplify]: Extracting #0: cost 1 inf + 0 67.826 * * [simplify]: Extracting #1: cost 4 inf + 0 67.826 * * [simplify]: Extracting #2: cost 5 inf + 1 67.826 * * [simplify]: Extracting #3: cost 7 inf + 1 67.826 * * [simplify]: Extracting #4: cost 1 inf + 568 67.826 * * [simplify]: Extracting #5: cost 0 inf + 730 67.826 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 67.826 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.826 * * * * [progress]: [ 62 / 196 ] simplifiying candidate # 67.826 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 67.827 * * [simplify]: iters left: 5 (7 enodes) 67.829 * * [simplify]: iters left: 4 (25 enodes) 67.833 * * [simplify]: iters left: 3 (27 enodes) 67.837 * * [simplify]: iters left: 2 (28 enodes) 67.843 * * [simplify]: iters left: 1 (29 enodes) 67.847 * * [simplify]: Extracting #0: cost 1 inf + 0 67.847 * * [simplify]: Extracting #1: cost 4 inf + 0 67.847 * * [simplify]: Extracting #2: cost 5 inf + 1 67.847 * * [simplify]: Extracting #3: cost 7 inf + 1 67.847 * * [simplify]: Extracting #4: cost 6 inf + 2 67.847 * * [simplify]: Extracting #5: cost 2 inf + 368 67.847 * * [simplify]: Extracting #6: cost 0 inf + 490 67.847 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.847 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.848 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 67.848 * * [simplify]: iters left: 4 (6 enodes) 67.850 * * [simplify]: iters left: 3 (20 enodes) 67.855 * * [simplify]: iters left: 2 (22 enodes) 67.862 * * [simplify]: Extracting #0: cost 1 inf + 0 67.862 * * [simplify]: Extracting #1: cost 4 inf + 0 67.862 * * [simplify]: Extracting #2: cost 5 inf + 1 67.862 * * [simplify]: Extracting #3: cost 7 inf + 1 67.862 * * [simplify]: Extracting #4: cost 1 inf + 368 67.862 * * [simplify]: Extracting #5: cost 0 inf + 490 67.862 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.862 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.862 * * * * [progress]: [ 63 / 196 ] simplifiying candidate # 67.863 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 67.863 * * [simplify]: iters left: 5 (5 enodes) 67.872 * * [simplify]: iters left: 4 (19 enodes) 67.877 * * [simplify]: iters left: 3 (21 enodes) 67.881 * * [simplify]: Extracting #0: cost 1 inf + 0 67.881 * * [simplify]: Extracting #1: cost 0 inf + 1 67.881 * [simplify]: Simplified to 1 67.881 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.882 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 67.882 * * [simplify]: iters left: 3 (5 enodes) 67.886 * * [simplify]: iters left: 2 (17 enodes) 67.891 * * [simplify]: iters left: 1 (19 enodes) 67.897 * * [simplify]: Extracting #0: cost 1 inf + 0 67.897 * * [simplify]: Extracting #1: cost 4 inf + 0 67.897 * * [simplify]: Extracting #2: cost 5 inf + 1 67.897 * * [simplify]: Extracting #3: cost 0 inf + 248 67.897 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.897 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.897 * * * * [progress]: [ 64 / 196 ] simplifiying candidate # 67.898 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 67.898 * * [simplify]: iters left: 5 (7 enodes) 67.903 * * [simplify]: iters left: 4 (25 enodes) 67.911 * * [simplify]: iters left: 3 (27 enodes) 67.918 * * [simplify]: iters left: 2 (28 enodes) 67.925 * * [simplify]: iters left: 1 (29 enodes) 67.930 * * [simplify]: Extracting #0: cost 1 inf + 0 67.930 * * [simplify]: Extracting #1: cost 4 inf + 0 67.930 * * [simplify]: Extracting #2: cost 5 inf + 1 67.930 * * [simplify]: Extracting #3: cost 7 inf + 1 67.930 * * [simplify]: Extracting #4: cost 6 inf + 2 67.930 * * [simplify]: Extracting #5: cost 2 inf + 368 67.930 * * [simplify]: Extracting #6: cost 0 inf + 490 67.930 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.930 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.931 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 67.931 * * [simplify]: iters left: 4 (6 enodes) 67.933 * * [simplify]: iters left: 3 (20 enodes) 67.936 * * [simplify]: iters left: 2 (22 enodes) 67.938 * * [simplify]: Extracting #0: cost 1 inf + 0 67.939 * * [simplify]: Extracting #1: cost 4 inf + 0 67.939 * * [simplify]: Extracting #2: cost 5 inf + 1 67.939 * * [simplify]: Extracting #3: cost 7 inf + 1 67.939 * * [simplify]: Extracting #4: cost 1 inf + 368 67.939 * * [simplify]: Extracting #5: cost 0 inf + 490 67.939 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.939 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.939 * * * * [progress]: [ 65 / 196 ] simplifiying candidate # 67.939 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 67.939 * * [simplify]: iters left: 5 (4 enodes) 67.944 * * [simplify]: iters left: 4 (14 enodes) 67.945 * * [simplify]: iters left: 3 (16 enodes) 67.947 * * [simplify]: Extracting #0: cost 1 inf + 0 67.947 * * [simplify]: Extracting #1: cost 0 inf + 1 67.947 * [simplify]: Simplified to 1 67.947 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.947 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 67.947 * * [simplify]: iters left: 3 (5 enodes) 67.950 * * [simplify]: iters left: 2 (17 enodes) 67.952 * * [simplify]: iters left: 1 (19 enodes) 67.955 * * [simplify]: Extracting #0: cost 1 inf + 0 67.955 * * [simplify]: Extracting #1: cost 4 inf + 0 67.955 * * [simplify]: Extracting #2: cost 5 inf + 1 67.956 * * [simplify]: Extracting #3: cost 0 inf + 248 67.956 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.956 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.956 * * * * [progress]: [ 66 / 196 ] simplifiying candidate # 67.956 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.956 * * [simplify]: iters left: 6 (7 enodes) 67.961 * * [simplify]: iters left: 5 (25 enodes) 67.968 * * [simplify]: iters left: 4 (32 enodes) 67.972 * * [simplify]: iters left: 3 (34 enodes) 67.977 * * [simplify]: Extracting #0: cost 1 inf + 0 67.977 * * [simplify]: Extracting #1: cost 7 inf + 0 67.977 * * [simplify]: Extracting #2: cost 11 inf + 1 67.977 * * [simplify]: Extracting #3: cost 13 inf + 1 67.977 * * [simplify]: Extracting #4: cost 10 inf + 84 67.977 * * [simplify]: Extracting #5: cost 4 inf + 1014 67.977 * * [simplify]: Extracting #6: cost 1 inf + 1498 67.977 * * [simplify]: Extracting #7: cost 0 inf + 1700 67.978 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 67.978 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.978 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 67.978 * * [simplify]: iters left: 4 (6 enodes) 67.980 * * [simplify]: iters left: 3 (20 enodes) 67.984 * * [simplify]: iters left: 2 (22 enodes) 67.990 * * [simplify]: Extracting #0: cost 1 inf + 0 67.990 * * [simplify]: Extracting #1: cost 4 inf + 0 67.990 * * [simplify]: Extracting #2: cost 5 inf + 1 67.990 * * [simplify]: Extracting #3: cost 7 inf + 1 67.990 * * [simplify]: Extracting #4: cost 1 inf + 488 67.990 * * [simplify]: Extracting #5: cost 0 inf + 650 67.990 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 67.990 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 67.990 * * * * [progress]: [ 67 / 196 ] simplifiying candidate # 67.991 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 67.991 * * [simplify]: iters left: 6 (7 enodes) 67.993 * * [simplify]: iters left: 5 (24 enodes) 67.997 * * [simplify]: iters left: 4 (26 enodes) 68.000 * * [simplify]: Extracting #0: cost 1 inf + 0 68.000 * * [simplify]: Extracting #1: cost 4 inf + 0 68.000 * * [simplify]: Extracting #2: cost 6 inf + 1 68.000 * * [simplify]: Extracting #3: cost 9 inf + 1 68.000 * * [simplify]: Extracting #4: cost 8 inf + 2 68.000 * * [simplify]: Extracting #5: cost 2 inf + 730 68.000 * * [simplify]: Extracting #6: cost 0 inf + 972 68.001 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 68.001 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.001 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 68.001 * * [simplify]: iters left: 4 (6 enodes) 68.003 * * [simplify]: iters left: 3 (20 enodes) 68.006 * * [simplify]: iters left: 2 (22 enodes) 68.009 * * [simplify]: Extracting #0: cost 1 inf + 0 68.009 * * [simplify]: Extracting #1: cost 4 inf + 0 68.009 * * [simplify]: Extracting #2: cost 5 inf + 1 68.009 * * [simplify]: Extracting #3: cost 7 inf + 1 68.009 * * [simplify]: Extracting #4: cost 1 inf + 568 68.009 * * [simplify]: Extracting #5: cost 0 inf + 730 68.009 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 68.009 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.009 * * * * [progress]: [ 68 / 196 ] simplifiying candidate # 68.010 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 68.010 * * [simplify]: iters left: 4 (6 enodes) 68.012 * * [simplify]: iters left: 3 (20 enodes) 68.014 * * [simplify]: iters left: 2 (22 enodes) 68.017 * * [simplify]: Extracting #0: cost 1 inf + 0 68.017 * * [simplify]: Extracting #1: cost 4 inf + 0 68.017 * * [simplify]: Extracting #2: cost 5 inf + 1 68.017 * * [simplify]: Extracting #3: cost 7 inf + 1 68.017 * * [simplify]: Extracting #4: cost 1 inf + 368 68.018 * * [simplify]: Extracting #5: cost 0 inf + 490 68.018 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.018 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.018 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 68.018 * * [simplify]: iters left: 4 (6 enodes) 68.022 * * [simplify]: iters left: 3 (20 enodes) 68.027 * * [simplify]: iters left: 2 (22 enodes) 68.034 * * [simplify]: Extracting #0: cost 1 inf + 0 68.034 * * [simplify]: Extracting #1: cost 4 inf + 0 68.034 * * [simplify]: Extracting #2: cost 5 inf + 1 68.034 * * [simplify]: Extracting #3: cost 7 inf + 1 68.034 * * [simplify]: Extracting #4: cost 1 inf + 368 68.034 * * [simplify]: Extracting #5: cost 0 inf + 490 68.034 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.035 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.035 * * * * [progress]: [ 69 / 196 ] simplifiying candidate # 68.035 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 68.035 * * [simplify]: iters left: 3 (3 enodes) 68.039 * * [simplify]: iters left: 2 (9 enodes) 68.041 * * [simplify]: iters left: 1 (11 enodes) 68.044 * * [simplify]: Extracting #0: cost 1 inf + 0 68.044 * * [simplify]: Extracting #1: cost 0 inf + 1 68.044 * [simplify]: Simplified to 1 68.044 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.044 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 68.045 * * [simplify]: iters left: 3 (5 enodes) 68.049 * * [simplify]: iters left: 2 (17 enodes) 68.052 * * [simplify]: iters left: 1 (19 enodes) 68.055 * * [simplify]: Extracting #0: cost 1 inf + 0 68.055 * * [simplify]: Extracting #1: cost 4 inf + 0 68.055 * * [simplify]: Extracting #2: cost 5 inf + 1 68.055 * * [simplify]: Extracting #3: cost 0 inf + 248 68.055 * [simplify]: Simplified to (/ 1 (sqrt k)) 68.055 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.055 * * * * [progress]: [ 70 / 196 ] simplifiying candidate # 68.055 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 68.055 * * [simplify]: iters left: 4 (6 enodes) 68.057 * * [simplify]: iters left: 3 (20 enodes) 68.060 * * [simplify]: iters left: 2 (22 enodes) 68.063 * * [simplify]: Extracting #0: cost 1 inf + 0 68.063 * * [simplify]: Extracting #1: cost 4 inf + 0 68.063 * * [simplify]: Extracting #2: cost 5 inf + 1 68.063 * * [simplify]: Extracting #3: cost 7 inf + 1 68.064 * * [simplify]: Extracting #4: cost 1 inf + 368 68.064 * * [simplify]: Extracting #5: cost 0 inf + 490 68.064 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.064 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.064 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 68.064 * * [simplify]: iters left: 4 (6 enodes) 68.068 * * [simplify]: iters left: 3 (20 enodes) 68.071 * * [simplify]: iters left: 2 (22 enodes) 68.074 * * [simplify]: Extracting #0: cost 1 inf + 0 68.074 * * [simplify]: Extracting #1: cost 4 inf + 0 68.074 * * [simplify]: Extracting #2: cost 5 inf + 1 68.074 * * [simplify]: Extracting #3: cost 7 inf + 1 68.074 * * [simplify]: Extracting #4: cost 1 inf + 368 68.074 * * [simplify]: Extracting #5: cost 0 inf + 490 68.074 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.074 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.074 * * * * [progress]: [ 71 / 196 ] simplifiying candidate # 68.074 * [simplify]: Simplifying (/ (sqrt 1) 1) 68.075 * * [simplify]: iters left: 3 (3 enodes) 68.076 * * [simplify]: iters left: 2 (9 enodes) 68.078 * * [simplify]: iters left: 1 (11 enodes) 68.079 * * [simplify]: Extracting #0: cost 1 inf + 0 68.079 * * [simplify]: Extracting #1: cost 0 inf + 1 68.079 * [simplify]: Simplified to 1 68.079 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.080 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 68.080 * * [simplify]: iters left: 3 (5 enodes) 68.082 * * [simplify]: iters left: 2 (17 enodes) 68.085 * * [simplify]: iters left: 1 (19 enodes) 68.087 * * [simplify]: Extracting #0: cost 1 inf + 0 68.088 * * [simplify]: Extracting #1: cost 4 inf + 0 68.088 * * [simplify]: Extracting #2: cost 5 inf + 1 68.088 * * [simplify]: Extracting #3: cost 0 inf + 248 68.088 * [simplify]: Simplified to (/ 1 (sqrt k)) 68.088 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.088 * * * * [progress]: [ 72 / 196 ] simplifiying candidate # 68.088 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 68.088 * * [simplify]: iters left: 6 (6 enodes) 68.090 * * [simplify]: iters left: 5 (22 enodes) 68.093 * * [simplify]: iters left: 4 (26 enodes) 68.097 * * [simplify]: Extracting #0: cost 1 inf + 0 68.097 * * [simplify]: Extracting #1: cost 6 inf + 0 68.097 * * [simplify]: Extracting #2: cost 9 inf + 1 68.097 * * [simplify]: Extracting #3: cost 11 inf + 1 68.097 * * [simplify]: Extracting #4: cost 8 inf + 84 68.097 * * [simplify]: Extracting #5: cost 2 inf + 1013 68.097 * * [simplify]: Extracting #6: cost 0 inf + 1376 68.097 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 68.097 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.098 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 68.098 * * [simplify]: iters left: 4 (5 enodes) 68.099 * * [simplify]: iters left: 3 (17 enodes) 68.101 * * [simplify]: iters left: 2 (19 enodes) 68.104 * * [simplify]: Extracting #0: cost 1 inf + 0 68.104 * * [simplify]: Extracting #1: cost 4 inf + 0 68.104 * * [simplify]: Extracting #2: cost 5 inf + 1 68.104 * * [simplify]: Extracting #3: cost 7 inf + 1 68.104 * * [simplify]: Extracting #4: cost 0 inf + 650 68.104 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 68.105 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.105 * * * * [progress]: [ 73 / 196 ] simplifiying candidate # 68.105 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 68.105 * * [simplify]: iters left: 6 (6 enodes) 68.106 * * [simplify]: iters left: 5 (21 enodes) 68.109 * * [simplify]: iters left: 4 (23 enodes) 68.113 * * [simplify]: Extracting #0: cost 1 inf + 0 68.113 * * [simplify]: Extracting #1: cost 4 inf + 0 68.113 * * [simplify]: Extracting #2: cost 6 inf + 1 68.113 * * [simplify]: Extracting #3: cost 9 inf + 1 68.113 * * [simplify]: Extracting #4: cost 8 inf + 2 68.113 * * [simplify]: Extracting #5: cost 1 inf + 810 68.113 * * [simplify]: Extracting #6: cost 0 inf + 972 68.113 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 68.113 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.113 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 68.113 * * [simplify]: iters left: 4 (5 enodes) 68.116 * * [simplify]: iters left: 3 (17 enodes) 68.121 * * [simplify]: iters left: 2 (19 enodes) 68.126 * * [simplify]: Extracting #0: cost 1 inf + 0 68.127 * * [simplify]: Extracting #1: cost 4 inf + 0 68.127 * * [simplify]: Extracting #2: cost 5 inf + 1 68.127 * * [simplify]: Extracting #3: cost 7 inf + 1 68.127 * * [simplify]: Extracting #4: cost 0 inf + 730 68.127 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 68.127 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.127 * * * * [progress]: [ 74 / 196 ] simplifiying candidate # 68.127 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 68.128 * * [simplify]: iters left: 4 (5 enodes) 68.130 * * [simplify]: iters left: 3 (17 enodes) 68.135 * * [simplify]: iters left: 2 (19 enodes) 68.141 * * [simplify]: Extracting #0: cost 1 inf + 0 68.141 * * [simplify]: Extracting #1: cost 4 inf + 0 68.141 * * [simplify]: Extracting #2: cost 5 inf + 1 68.141 * * [simplify]: Extracting #3: cost 7 inf + 1 68.141 * * [simplify]: Extracting #4: cost 0 inf + 490 68.141 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.141 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.142 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 68.142 * * [simplify]: iters left: 4 (5 enodes) 68.144 * * [simplify]: iters left: 3 (17 enodes) 68.149 * * [simplify]: iters left: 2 (19 enodes) 68.155 * * [simplify]: Extracting #0: cost 1 inf + 0 68.155 * * [simplify]: Extracting #1: cost 4 inf + 0 68.155 * * [simplify]: Extracting #2: cost 5 inf + 1 68.155 * * [simplify]: Extracting #3: cost 7 inf + 1 68.155 * * [simplify]: Extracting #4: cost 0 inf + 490 68.156 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.156 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.156 * * * * [progress]: [ 75 / 196 ] simplifiying candidate # 68.156 * [simplify]: Simplifying (/ 1 (sqrt 1)) 68.156 * * [simplify]: iters left: 3 (3 enodes) 68.162 * * [simplify]: iters left: 2 (11 enodes) 68.165 * * [simplify]: iters left: 1 (13 enodes) 68.168 * * [simplify]: Extracting #0: cost 1 inf + 0 68.168 * * [simplify]: Extracting #1: cost 0 inf + 1 68.168 * [simplify]: Simplified to 1 68.168 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.168 * [simplify]: Simplifying (/ 1 (sqrt k)) 68.169 * * [simplify]: iters left: 3 (4 enodes) 68.171 * * [simplify]: iters left: 2 (14 enodes) 68.175 * * [simplify]: iters left: 1 (16 enodes) 68.183 * * [simplify]: Extracting #0: cost 1 inf + 0 68.183 * * [simplify]: Extracting #1: cost 4 inf + 0 68.183 * * [simplify]: Extracting #2: cost 5 inf + 1 68.183 * * [simplify]: Extracting #3: cost 3 inf + 43 68.183 * * [simplify]: Extracting #4: cost 1 inf + 166 68.183 * * [simplify]: Extracting #5: cost 0 inf + 248 68.184 * [simplify]: Simplified to (/ 1 (sqrt k)) 68.184 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.184 * * * * [progress]: [ 76 / 196 ] simplifiying candidate # 68.184 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 68.185 * * [simplify]: iters left: 4 (5 enodes) 68.188 * * [simplify]: iters left: 3 (17 enodes) 68.193 * * [simplify]: iters left: 2 (19 enodes) 68.198 * * [simplify]: Extracting #0: cost 1 inf + 0 68.198 * * [simplify]: Extracting #1: cost 4 inf + 0 68.198 * * [simplify]: Extracting #2: cost 5 inf + 1 68.199 * * [simplify]: Extracting #3: cost 7 inf + 1 68.199 * * [simplify]: Extracting #4: cost 0 inf + 490 68.199 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.199 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.199 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 68.199 * * [simplify]: iters left: 4 (5 enodes) 68.202 * * [simplify]: iters left: 3 (17 enodes) 68.207 * * [simplify]: iters left: 2 (19 enodes) 68.209 * * [simplify]: Extracting #0: cost 1 inf + 0 68.209 * * [simplify]: Extracting #1: cost 4 inf + 0 68.209 * * [simplify]: Extracting #2: cost 5 inf + 1 68.209 * * [simplify]: Extracting #3: cost 7 inf + 1 68.209 * * [simplify]: Extracting #4: cost 0 inf + 490 68.210 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.210 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.210 * * * * [progress]: [ 77 / 196 ] simplifiying candidate # 68.210 * [simplify]: Simplifying (/ 1 1) 68.210 * * [simplify]: iters left: 2 (2 enodes) 68.211 * * [simplify]: iters left: 1 (6 enodes) 68.212 * * [simplify]: Extracting #0: cost 1 inf + 0 68.212 * * [simplify]: Extracting #1: cost 0 inf + 1 68.212 * [simplify]: Simplified to 1 68.212 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.212 * [simplify]: Simplifying (/ 1 (sqrt k)) 68.212 * * [simplify]: iters left: 3 (4 enodes) 68.213 * * [simplify]: iters left: 2 (14 enodes) 68.215 * * [simplify]: iters left: 1 (16 enodes) 68.217 * * [simplify]: Extracting #0: cost 1 inf + 0 68.218 * * [simplify]: Extracting #1: cost 4 inf + 0 68.218 * * [simplify]: Extracting #2: cost 5 inf + 1 68.218 * * [simplify]: Extracting #3: cost 3 inf + 43 68.218 * * [simplify]: Extracting #4: cost 1 inf + 166 68.218 * * [simplify]: Extracting #5: cost 0 inf + 248 68.218 * [simplify]: Simplified to (/ 1 (sqrt k)) 68.218 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.218 * * * * [progress]: [ 78 / 196 ] simplifiying candidate # 68.218 * * * * [progress]: [ 79 / 196 ] simplifiying candidate # 68.218 * [simplify]: Simplifying (/ 1 (sqrt k)) 68.218 * * [simplify]: iters left: 3 (4 enodes) 68.219 * * [simplify]: iters left: 2 (14 enodes) 68.221 * * [simplify]: iters left: 1 (16 enodes) 68.224 * * [simplify]: Extracting #0: cost 1 inf + 0 68.224 * * [simplify]: Extracting #1: cost 4 inf + 0 68.224 * * [simplify]: Extracting #2: cost 5 inf + 1 68.224 * * [simplify]: Extracting #3: cost 3 inf + 43 68.224 * * [simplify]: Extracting #4: cost 1 inf + 166 68.224 * * [simplify]: Extracting #5: cost 0 inf + 248 68.224 * [simplify]: Simplified to (/ 1 (sqrt k)) 68.224 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.224 * * * * [progress]: [ 80 / 196 ] simplifiying candidate # 68.224 * [simplify]: Simplifying (/ (sqrt k) 1) 68.224 * * [simplify]: iters left: 3 (4 enodes) 68.225 * * [simplify]: iters left: 2 (12 enodes) 68.227 * * [simplify]: iters left: 1 (14 enodes) 68.230 * * [simplify]: Extracting #0: cost 1 inf + 0 68.230 * * [simplify]: Extracting #1: cost 4 inf + 0 68.230 * * [simplify]: Extracting #2: cost 0 inf + 84 68.230 * [simplify]: Simplified to (sqrt k) 68.230 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.230 * * * * [progress]: [ 81 / 196 ] simplifiying candidate # 68.230 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 68.230 * * [simplify]: iters left: 6 (6 enodes) 68.232 * * [simplify]: iters left: 5 (22 enodes) 68.236 * * [simplify]: iters left: 4 (26 enodes) 68.243 * * [simplify]: Extracting #0: cost 1 inf + 0 68.244 * * [simplify]: Extracting #1: cost 6 inf + 0 68.244 * * [simplify]: Extracting #2: cost 9 inf + 1 68.244 * * [simplify]: Extracting #3: cost 11 inf + 1 68.244 * * [simplify]: Extracting #4: cost 8 inf + 84 68.244 * * [simplify]: Extracting #5: cost 2 inf + 1013 68.245 * * [simplify]: Extracting #6: cost 0 inf + 1376 68.245 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 68.245 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.245 * * * * [progress]: [ 82 / 196 ] simplifiying candidate # 68.245 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 68.246 * * [simplify]: iters left: 6 (6 enodes) 68.249 * * [simplify]: iters left: 5 (21 enodes) 68.252 * * [simplify]: iters left: 4 (23 enodes) 68.256 * * [simplify]: Extracting #0: cost 1 inf + 0 68.256 * * [simplify]: Extracting #1: cost 4 inf + 0 68.256 * * [simplify]: Extracting #2: cost 6 inf + 1 68.256 * * [simplify]: Extracting #3: cost 9 inf + 1 68.256 * * [simplify]: Extracting #4: cost 8 inf + 2 68.256 * * [simplify]: Extracting #5: cost 1 inf + 810 68.256 * * [simplify]: Extracting #6: cost 0 inf + 972 68.256 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 68.256 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.256 * * * * [progress]: [ 83 / 196 ] simplifiying candidate # 68.256 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 68.256 * * [simplify]: iters left: 4 (5 enodes) 68.258 * * [simplify]: iters left: 3 (17 enodes) 68.260 * * [simplify]: iters left: 2 (19 enodes) 68.263 * * [simplify]: Extracting #0: cost 1 inf + 0 68.263 * * [simplify]: Extracting #1: cost 4 inf + 0 68.263 * * [simplify]: Extracting #2: cost 5 inf + 1 68.263 * * [simplify]: Extracting #3: cost 7 inf + 1 68.263 * * [simplify]: Extracting #4: cost 0 inf + 490 68.263 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.263 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.263 * * * * [progress]: [ 84 / 196 ] simplifiying candidate # 68.264 * [simplify]: Simplifying (/ 1 (sqrt 1)) 68.264 * * [simplify]: iters left: 3 (3 enodes) 68.267 * * [simplify]: iters left: 2 (11 enodes) 68.269 * * [simplify]: iters left: 1 (13 enodes) 68.271 * * [simplify]: Extracting #0: cost 1 inf + 0 68.271 * * [simplify]: Extracting #1: cost 0 inf + 1 68.271 * [simplify]: Simplified to 1 68.271 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.271 * * * * [progress]: [ 85 / 196 ] simplifiying candidate # 68.271 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 68.272 * * [simplify]: iters left: 4 (5 enodes) 68.273 * * [simplify]: iters left: 3 (17 enodes) 68.276 * * [simplify]: iters left: 2 (19 enodes) 68.279 * * [simplify]: Extracting #0: cost 1 inf + 0 68.279 * * [simplify]: Extracting #1: cost 4 inf + 0 68.279 * * [simplify]: Extracting #2: cost 5 inf + 1 68.279 * * [simplify]: Extracting #3: cost 7 inf + 1 68.279 * * [simplify]: Extracting #4: cost 0 inf + 490 68.279 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 68.279 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.279 * * * * [progress]: [ 86 / 196 ] simplifiying candidate # 68.279 * [simplify]: Simplifying (/ 1 1) 68.279 * * [simplify]: iters left: 2 (2 enodes) 68.280 * * [simplify]: iters left: 1 (6 enodes) 68.282 * * [simplify]: Extracting #0: cost 1 inf + 0 68.282 * * [simplify]: Extracting #1: cost 0 inf + 1 68.282 * [simplify]: Simplified to 1 68.282 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.282 * * * * [progress]: [ 87 / 196 ] simplifiying candidate # 68.282 * [simplify]: Simplifying (/ (sqrt k) (cbrt 1)) 68.282 * * [simplify]: iters left: 3 (5 enodes) 68.286 * * [simplify]: iters left: 2 (17 enodes) 68.288 * * [simplify]: iters left: 1 (19 enodes) 68.291 * * [simplify]: Extracting #0: cost 1 inf + 0 68.291 * * [simplify]: Extracting #1: cost 4 inf + 0 68.291 * * [simplify]: Extracting #2: cost 2 inf + 2 68.291 * * [simplify]: Extracting #3: cost 0 inf + 84 68.291 * [simplify]: Simplified to (sqrt k) 68.291 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.291 * * * * [progress]: [ 88 / 196 ] simplifiying candidate # 68.291 * [simplify]: Simplifying (/ (sqrt k) (sqrt 1)) 68.291 * * [simplify]: iters left: 3 (5 enodes) 68.293 * * [simplify]: iters left: 2 (17 enodes) 68.296 * * [simplify]: iters left: 1 (19 enodes) 68.299 * * [simplify]: Extracting #0: cost 1 inf + 0 68.299 * * [simplify]: Extracting #1: cost 4 inf + 0 68.299 * * [simplify]: Extracting #2: cost 2 inf + 2 68.299 * * [simplify]: Extracting #3: cost 0 inf + 84 68.300 * [simplify]: Simplified to (sqrt k) 68.300 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.300 * * * * [progress]: [ 89 / 196 ] simplifiying candidate # 68.300 * [simplify]: Simplifying (/ (sqrt k) 1) 68.300 * * [simplify]: iters left: 3 (4 enodes) 68.302 * * [simplify]: iters left: 2 (12 enodes) 68.306 * * [simplify]: iters left: 1 (14 enodes) 68.310 * * [simplify]: Extracting #0: cost 1 inf + 0 68.310 * * [simplify]: Extracting #1: cost 4 inf + 0 68.310 * * [simplify]: Extracting #2: cost 0 inf + 84 68.310 * [simplify]: Simplified to (sqrt k) 68.310 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.311 * * * * [progress]: [ 90 / 196 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 68.311 * [simplify]: Simplifying (real->posit16 (/ 1 (sqrt k))) 68.311 * * [simplify]: iters left: 4 (5 enodes) 68.313 * * [simplify]: iters left: 3 (14 enodes) 68.318 * * [simplify]: iters left: 2 (16 enodes) 68.322 * * [simplify]: Extracting #0: cost 1 inf + 0 68.322 * * [simplify]: Extracting #1: cost 2 inf + 0 68.322 * * [simplify]: Extracting #2: cost 4 inf + 0 68.322 * * [simplify]: Extracting #3: cost 5 inf + 1 68.322 * * [simplify]: Extracting #4: cost 0 inf + 248 68.323 * [simplify]: Simplified to (real->posit16 (/ 1 (sqrt k))) 68.323 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 68.323 * * * * [progress]: [ 91 / 196 ] simplifiying candidate # 68.323 * [simplify]: Simplifying (expm1 (* (* 2 PI) n)) 68.323 * * [simplify]: iters left: 5 (6 enodes) 68.326 * * [simplify]: iters left: 4 (22 enodes) 68.333 * * [simplify]: iters left: 3 (30 enodes) 68.341 * * [simplify]: iters left: 2 (35 enodes) 68.350 * * [simplify]: Extracting #0: cost 1 inf + 0 68.350 * * [simplify]: Extracting #1: cost 3 inf + 0 68.350 * * [simplify]: Extracting #2: cost 10 inf + 0 68.350 * * [simplify]: Extracting #3: cost 8 inf + 87 68.351 * * [simplify]: Extracting #4: cost 1 inf + 574 68.351 * * [simplify]: Extracting #5: cost 0 inf + 727 68.351 * [simplify]: Simplified to (expm1 (* (* n 2) PI)) 68.351 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* n 2) PI))) (/ (- 1 k) 2)))) 68.351 * * * * [progress]: [ 92 / 196 ] simplifiying candidate # 68.352 * [simplify]: Simplifying (log1p (* (* 2 PI) n)) 68.352 * * [simplify]: iters left: 5 (6 enodes) 68.355 * * [simplify]: iters left: 4 (22 enodes) 68.362 * * [simplify]: iters left: 3 (30 enodes) 68.371 * * [simplify]: iters left: 2 (35 enodes) 68.380 * * [simplify]: Extracting #0: cost 1 inf + 0 68.380 * * [simplify]: Extracting #1: cost 3 inf + 0 68.380 * * [simplify]: Extracting #2: cost 10 inf + 0 68.380 * * [simplify]: Extracting #3: cost 8 inf + 87 68.380 * * [simplify]: Extracting #4: cost 1 inf + 594 68.381 * * [simplify]: Extracting #5: cost 0 inf + 767 68.381 * [simplify]: Simplified to (log1p (* (* n 2) PI)) 68.381 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* n 2) PI))) (/ (- 1 k) 2)))) 68.381 * * * * [progress]: [ 93 / 196 ] simplifiying candidate # 68.381 * [simplify]: Simplifying (* (* 2 PI) n) 68.382 * * [simplify]: iters left: 4 (5 enodes) 68.384 * * [simplify]: iters left: 3 (19 enodes) 68.390 * * [simplify]: iters left: 2 (27 enodes) 68.399 * * [simplify]: iters left: 1 (32 enodes) 68.407 * * [simplify]: Extracting #0: cost 1 inf + 0 68.407 * * [simplify]: Extracting #1: cost 8 inf + 0 68.407 * * [simplify]: Extracting #2: cost 7 inf + 45 68.407 * * [simplify]: Extracting #3: cost 0 inf + 421 68.408 * [simplify]: Simplified to (* (* 2 PI) n) 68.408 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 68.408 * * * * [progress]: [ 94 / 196 ] simplifiying candidate # 68.408 * [simplify]: Simplifying (* (* 2 PI) n) 68.408 * * [simplify]: iters left: 4 (5 enodes) 68.411 * * [simplify]: iters left: 3 (19 enodes) 68.417 * * [simplify]: iters left: 2 (27 enodes) 68.423 * * [simplify]: iters left: 1 (32 enodes) 68.427 * * [simplify]: Extracting #0: cost 1 inf + 0 68.427 * * [simplify]: Extracting #1: cost 8 inf + 0 68.428 * * [simplify]: Extracting #2: cost 7 inf + 45 68.428 * * [simplify]: Extracting #3: cost 0 inf + 421 68.428 * [simplify]: Simplified to (* (* 2 PI) n) 68.428 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 68.428 * * * * [progress]: [ 95 / 196 ] simplifiying candidate # 68.428 * * * * [progress]: [ 96 / 196 ] simplifiying candidate # 68.428 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 68.428 * * [simplify]: iters left: 5 (8 enodes) 68.430 * * [simplify]: iters left: 4 (28 enodes) 68.434 * * [simplify]: iters left: 3 (36 enodes) 68.440 * * [simplify]: iters left: 2 (42 enodes) 68.445 * * [simplify]: Extracting #0: cost 1 inf + 0 68.445 * * [simplify]: Extracting #1: cost 8 inf + 0 68.445 * * [simplify]: Extracting #2: cost 17 inf + 0 68.445 * * [simplify]: Extracting #3: cost 13 inf + 74 68.446 * * [simplify]: Extracting #4: cost 6 inf + 1015 68.446 * * [simplify]: Extracting #5: cost 0 inf + 2107 68.446 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 68.446 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 68.447 * * * * [progress]: [ 97 / 196 ] simplifiying candidate # 68.447 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 68.447 * * [simplify]: iters left: 5 (7 enodes) 68.451 * * [simplify]: iters left: 4 (26 enodes) 68.459 * * [simplify]: iters left: 3 (35 enodes) 68.470 * * [simplify]: iters left: 2 (44 enodes) 68.478 * * [simplify]: Extracting #0: cost 1 inf + 0 68.478 * * [simplify]: Extracting #1: cost 8 inf + 0 68.478 * * [simplify]: Extracting #2: cost 18 inf + 0 68.478 * * [simplify]: Extracting #3: cost 15 inf + 74 68.478 * * [simplify]: Extracting #4: cost 6 inf + 918 68.479 * * [simplify]: Extracting #5: cost 0 inf + 1911 68.479 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 68.479 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 68.479 * * * * [progress]: [ 98 / 196 ] simplifiying candidate # 68.479 * [simplify]: Simplifying (log (* (* 2 PI) n)) 68.479 * * [simplify]: iters left: 5 (6 enodes) 68.481 * * [simplify]: iters left: 4 (25 enodes) 68.485 * * [simplify]: iters left: 3 (44 enodes) 68.491 * * [simplify]: iters left: 2 (62 enodes) 68.500 * * [simplify]: iters left: 1 (70 enodes) 68.508 * * [simplify]: Extracting #0: cost 1 inf + 0 68.508 * * [simplify]: Extracting #1: cost 9 inf + 0 68.508 * * [simplify]: Extracting #2: cost 22 inf + 0 68.509 * * [simplify]: Extracting #3: cost 20 inf + 116 68.509 * * [simplify]: Extracting #4: cost 5 inf + 1253 68.509 * * [simplify]: Extracting #5: cost 0 inf + 1825 68.510 * [simplify]: Simplified to (log (* (* 2 PI) n)) 68.510 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2)))) 68.510 * * * * [progress]: [ 99 / 196 ] simplifiying candidate # 68.510 * [simplify]: Simplifying (exp (* (* 2 PI) n)) 68.510 * * [simplify]: iters left: 5 (6 enodes) 68.513 * * [simplify]: iters left: 4 (24 enodes) 68.517 * * [simplify]: iters left: 3 (45 enodes) 68.524 * * [simplify]: iters left: 2 (82 enodes) 68.541 * * [simplify]: iters left: 1 (152 enodes) 68.579 * * [simplify]: Extracting #0: cost 1 inf + 0 68.579 * * [simplify]: Extracting #1: cost 31 inf + 0 68.580 * * [simplify]: Extracting #2: cost 81 inf + 256 68.580 * * [simplify]: Extracting #3: cost 67 inf + 3737 68.582 * * [simplify]: Extracting #4: cost 28 inf + 11352 68.583 * * [simplify]: Extracting #5: cost 9 inf + 16819 68.586 * * [simplify]: Extracting #6: cost 0 inf + 22333 68.588 * [simplify]: Simplified to (exp (* PI (+ n n))) 68.588 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* PI (+ n n)))) (/ (- 1 k) 2)))) 68.588 * * * * [progress]: [ 100 / 196 ] simplifiying candidate # 68.588 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 68.589 * * [simplify]: iters left: 6 (11 enodes) 68.593 * * [simplify]: iters left: 5 (47 enodes) 68.610 * * [simplify]: iters left: 4 (115 enodes) 68.643 * * [simplify]: iters left: 3 (400 enodes) 68.966 * * [simplify]: Extracting #0: cost 1 inf + 0 68.966 * * [simplify]: Extracting #1: cost 101 inf + 0 68.967 * * [simplify]: Extracting #2: cost 267 inf + 496 68.972 * * [simplify]: Extracting #3: cost 120 inf + 18282 68.986 * * [simplify]: Extracting #4: cost 0 inf + 41338 69.005 * * [simplify]: Extracting #5: cost 0 inf + 41058 69.024 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 69.024 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 69.025 * * * * [progress]: [ 101 / 196 ] simplifiying candidate # 69.025 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 69.025 * * [simplify]: iters left: 6 (9 enodes) 69.031 * * [simplify]: iters left: 5 (45 enodes) 69.049 * * [simplify]: iters left: 4 (116 enodes) 69.110 * * [simplify]: iters left: 3 (394 enodes) 69.424 * * [simplify]: Extracting #0: cost 1 inf + 0 69.424 * * [simplify]: Extracting #1: cost 81 inf + 0 69.426 * * [simplify]: Extracting #2: cost 197 inf + 498 69.430 * * [simplify]: Extracting #3: cost 104 inf + 13079 69.448 * * [simplify]: Extracting #4: cost 9 inf + 31486 69.467 * * [simplify]: Extracting #5: cost 0 inf + 33399 69.486 * [simplify]: Simplified to (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI)) 69.486 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (/ (- 1 k) 2)))) 69.486 * * * * [progress]: [ 102 / 196 ] simplifiying candidate # 69.487 * [simplify]: Simplifying (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) 69.487 * * [simplify]: iters left: 6 (7 enodes) 69.491 * * [simplify]: iters left: 5 (25 enodes) 69.499 * * [simplify]: iters left: 4 (33 enodes) 69.509 * * [simplify]: iters left: 3 (38 enodes) 69.523 * * [simplify]: Extracting #0: cost 1 inf + 0 69.523 * * [simplify]: Extracting #1: cost 3 inf + 0 69.523 * * [simplify]: Extracting #2: cost 5 inf + 0 69.524 * * [simplify]: Extracting #3: cost 12 inf + 0 69.524 * * [simplify]: Extracting #4: cost 12 inf + 3 69.524 * * [simplify]: Extracting #5: cost 5 inf + 500 69.524 * * [simplify]: Extracting #6: cost 1 inf + 950 69.525 * * [simplify]: Extracting #7: cost 0 inf + 1153 69.525 * [simplify]: Simplified to (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) 69.525 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2)))) 69.526 * [simplify]: Simplifying (cbrt (* (* 2 PI) n)) 69.526 * * [simplify]: iters left: 5 (6 enodes) 69.529 * * [simplify]: iters left: 4 (22 enodes) 69.536 * * [simplify]: iters left: 3 (30 enodes) 69.545 * * [simplify]: iters left: 2 (35 enodes) 69.554 * * [simplify]: Extracting #0: cost 1 inf + 0 69.555 * * [simplify]: Extracting #1: cost 3 inf + 0 69.555 * * [simplify]: Extracting #2: cost 10 inf + 0 69.555 * * [simplify]: Extracting #3: cost 8 inf + 87 69.555 * * [simplify]: Extracting #4: cost 1 inf + 584 69.555 * * [simplify]: Extracting #5: cost 0 inf + 747 69.556 * [simplify]: Simplified to (cbrt (* (* n 2) PI)) 69.556 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* n 2) PI))) (/ (- 1 k) 2)))) 69.556 * * * * [progress]: [ 103 / 196 ] simplifiying candidate # 69.556 * [simplify]: Simplifying (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)) 69.556 * * [simplify]: iters left: 6 (7 enodes) 69.561 * * [simplify]: iters left: 5 (35 enodes) 69.576 * * [simplify]: iters left: 4 (119 enodes) 69.665 * * [simplify]: iters left: 3 (440 enodes) 70.086 * * [simplify]: Extracting #0: cost 1 inf + 0 70.087 * * [simplify]: Extracting #1: cost 71 inf + 0 70.088 * * [simplify]: Extracting #2: cost 204 inf + 512 70.095 * * [simplify]: Extracting #3: cost 98 inf + 15734 70.114 * * [simplify]: Extracting #4: cost 1 inf + 29429 70.133 * * [simplify]: Extracting #5: cost 0 inf + 29031 70.152 * * [simplify]: Extracting #6: cost 0 inf + 28911 70.171 * [simplify]: Simplified to (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI))) 70.171 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 2) PI)))) (/ (- 1 k) 2)))) 70.171 * * * * [progress]: [ 104 / 196 ] simplifiying candidate # 70.172 * [simplify]: Simplifying (sqrt (* (* 2 PI) n)) 70.172 * * [simplify]: iters left: 5 (6 enodes) 70.175 * * [simplify]: iters left: 4 (22 enodes) 70.186 * * [simplify]: iters left: 3 (30 enodes) 70.195 * * [simplify]: iters left: 2 (35 enodes) 70.204 * * [simplify]: Extracting #0: cost 1 inf + 0 70.204 * * [simplify]: Extracting #1: cost 3 inf + 0 70.204 * * [simplify]: Extracting #2: cost 10 inf + 0 70.205 * * [simplify]: Extracting #3: cost 8 inf + 87 70.205 * * [simplify]: Extracting #4: cost 1 inf + 544 70.205 * * [simplify]: Extracting #5: cost 0 inf + 667 70.206 * [simplify]: Simplified to (sqrt (* (* n 2) PI)) 70.206 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2)))) 70.206 * [simplify]: Simplifying (sqrt (* (* 2 PI) n)) 70.206 * * [simplify]: iters left: 5 (6 enodes) 70.209 * * [simplify]: iters left: 4 (22 enodes) 70.216 * * [simplify]: iters left: 3 (30 enodes) 70.225 * * [simplify]: iters left: 2 (35 enodes) 70.232 * * [simplify]: Extracting #0: cost 1 inf + 0 70.232 * * [simplify]: Extracting #1: cost 3 inf + 0 70.232 * * [simplify]: Extracting #2: cost 10 inf + 0 70.232 * * [simplify]: Extracting #3: cost 8 inf + 87 70.233 * * [simplify]: Extracting #4: cost 1 inf + 544 70.233 * * [simplify]: Extracting #5: cost 0 inf + 667 70.233 * [simplify]: Simplified to (sqrt (* (* n 2) PI)) 70.233 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* n 2) PI))) (/ (- 1 k) 2)))) 70.233 * * * * [progress]: [ 105 / 196 ] simplifiying candidate # 70.233 * * * * [progress]: [ 106 / 196 ] simplifiying candidate # 70.233 * [simplify]: Simplifying (* (* 2 PI) (* (cbrt n) (cbrt n))) 70.233 * * [simplify]: iters left: 5 (7 enodes) 70.236 * * [simplify]: iters left: 4 (27 enodes) 70.240 * * [simplify]: iters left: 3 (44 enodes) 70.247 * * [simplify]: iters left: 2 (63 enodes) 70.257 * * [simplify]: iters left: 1 (81 enodes) 70.270 * * [simplify]: Extracting #0: cost 1 inf + 0 70.271 * * [simplify]: Extracting #1: cost 12 inf + 0 70.271 * * [simplify]: Extracting #2: cost 19 inf + 2 70.271 * * [simplify]: Extracting #3: cost 16 inf + 87 70.271 * * [simplify]: Extracting #4: cost 9 inf + 980 70.272 * * [simplify]: Extracting #5: cost 1 inf + 2156 70.273 * * [simplify]: Extracting #6: cost 0 inf + 2359 70.274 * [simplify]: Simplified to (* (* 2 PI) (* (cbrt n) (cbrt n))) 70.274 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 70.274 * * * * [progress]: [ 107 / 196 ] simplifiying candidate # 70.274 * [simplify]: Simplifying (* (* 2 PI) (sqrt n)) 70.274 * * [simplify]: iters left: 4 (6 enodes) 70.278 * * [simplify]: iters left: 3 (22 enodes) 70.284 * * [simplify]: iters left: 2 (30 enodes) 70.295 * * [simplify]: iters left: 1 (35 enodes) 70.304 * * [simplify]: Extracting #0: cost 1 inf + 0 70.304 * * [simplify]: Extracting #1: cost 8 inf + 0 70.304 * * [simplify]: Extracting #2: cost 11 inf + 2 70.304 * * [simplify]: Extracting #3: cost 8 inf + 87 70.305 * * [simplify]: Extracting #4: cost 2 inf + 538 70.305 * * [simplify]: Extracting #5: cost 0 inf + 743 70.305 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 70.305 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (sqrt n) (* 2 PI)) (sqrt n)) (/ (- 1 k) 2)))) 70.306 * * * * [progress]: [ 108 / 196 ] simplifiying candidate # 70.306 * [simplify]: Simplifying (* (* 2 PI) 1) 70.306 * * [simplify]: iters left: 4 (5 enodes) 70.309 * * [simplify]: iters left: 3 (19 enodes) 70.317 * * [simplify]: iters left: 2 (29 enodes) 70.324 * * [simplify]: Extracting #0: cost 1 inf + 0 70.324 * * [simplify]: Extracting #1: cost 5 inf + 0 70.325 * * [simplify]: Extracting #2: cost 2 inf + 3 70.325 * * [simplify]: Extracting #3: cost 0 inf + 87 70.325 * [simplify]: Simplified to (* 2 PI) 70.325 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 70.325 * * * * [progress]: [ 109 / 196 ] simplifiying candidate # 70.325 * [simplify]: Simplifying (* PI n) 70.325 * * [simplify]: iters left: 2 (3 enodes) 70.327 * * [simplify]: iters left: 1 (10 enodes) 70.329 * * [simplify]: Extracting #0: cost 1 inf + 0 70.329 * * [simplify]: Extracting #1: cost 4 inf + 0 70.329 * * [simplify]: Extracting #2: cost 2 inf + 2 70.329 * * [simplify]: Extracting #3: cost 0 inf + 86 70.329 * [simplify]: Simplified to (* PI n) 70.329 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))) 70.329 * * * * [progress]: [ 110 / 196 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 70.330 * [simplify]: Simplifying (real->posit16 (* (* 2 PI) n)) 70.330 * * [simplify]: iters left: 5 (6 enodes) 70.333 * * [simplify]: iters left: 4 (19 enodes) 70.339 * * [simplify]: iters left: 3 (27 enodes) 70.347 * * [simplify]: iters left: 2 (32 enodes) 70.355 * * [simplify]: Extracting #0: cost 1 inf + 0 70.355 * * [simplify]: Extracting #1: cost 2 inf + 0 70.355 * * [simplify]: Extracting #2: cost 8 inf + 0 70.355 * * [simplify]: Extracting #3: cost 7 inf + 45 70.356 * * [simplify]: Extracting #4: cost 0 inf + 421 70.356 * [simplify]: Simplified to (real->posit16 (* (* 2 PI) n)) 70.356 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2)))) 70.356 * * * * [progress]: [ 111 / 196 ] simplifiying candidate # 70.356 * * * * [progress]: [ 112 / 196 ] simplifiying candidate # 70.357 * [simplify]: Simplifying (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 70.357 * * [simplify]: iters left: 6 (14 enodes) 70.364 * * [simplify]: iters left: 5 (60 enodes) 70.385 * * [simplify]: iters left: 4 (103 enodes) 70.419 * * [simplify]: iters left: 3 (177 enodes) 70.463 * * [simplify]: iters left: 2 (339 enodes) 70.580 * * [simplify]: Extracting #0: cost 1 inf + 0 70.580 * * [simplify]: Extracting #1: cost 3 inf + 0 70.580 * * [simplify]: Extracting #2: cost 46 inf + 0 70.581 * * [simplify]: Extracting #3: cost 139 inf + 1 70.582 * * [simplify]: Extracting #4: cost 182 inf + 209 70.584 * * [simplify]: Extracting #5: cost 145 inf + 11416 70.590 * * [simplify]: Extracting #6: cost 69 inf + 41459 70.603 * * [simplify]: Extracting #7: cost 5 inf + 90230 70.618 * * [simplify]: Extracting #8: cost 0 inf + 90619 70.645 * * [simplify]: Extracting #9: cost 0 inf + 90335 70.672 * [simplify]: Simplified to (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 70.672 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 70.672 * * * * [progress]: [ 113 / 196 ] simplifiying candidate # 70.672 * [simplify]: Simplifying (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 70.672 * * [simplify]: iters left: 6 (14 enodes) 70.677 * * [simplify]: iters left: 5 (60 enodes) 70.690 * * [simplify]: iters left: 4 (103 enodes) 70.715 * * [simplify]: iters left: 3 (177 enodes) 70.784 * * [simplify]: iters left: 2 (339 enodes) 70.920 * * [simplify]: Extracting #0: cost 1 inf + 0 70.921 * * [simplify]: Extracting #1: cost 3 inf + 0 70.921 * * [simplify]: Extracting #2: cost 46 inf + 0 70.921 * * [simplify]: Extracting #3: cost 139 inf + 1 70.922 * * [simplify]: Extracting #4: cost 182 inf + 209 70.924 * * [simplify]: Extracting #5: cost 145 inf + 11456 70.930 * * [simplify]: Extracting #6: cost 69 inf + 41499 70.951 * * [simplify]: Extracting #7: cost 5 inf + 90270 70.970 * * [simplify]: Extracting #8: cost 0 inf + 90659 70.994 * * [simplify]: Extracting #9: cost 0 inf + 90375 71.024 * [simplify]: Simplified to (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 71.024 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 71.024 * * * * [progress]: [ 114 / 196 ] simplifiying candidate # 71.024 * * * * [progress]: [ 115 / 196 ] simplifiying candidate # 71.025 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 71.025 * * [simplify]: iters left: 6 (17 enodes) 71.034 * * [simplify]: iters left: 5 (67 enodes) 71.046 * * [simplify]: iters left: 4 (113 enodes) 71.073 * * [simplify]: iters left: 3 (311 enodes) 71.237 * * [simplify]: Extracting #0: cost 1 inf + 0 71.238 * * [simplify]: Extracting #1: cost 34 inf + 0 71.238 * * [simplify]: Extracting #2: cost 126 inf + 0 71.239 * * [simplify]: Extracting #3: cost 169 inf + 503 71.242 * * [simplify]: Extracting #4: cost 151 inf + 7319 71.254 * * [simplify]: Extracting #5: cost 53 inf + 33008 71.274 * * [simplify]: Extracting #6: cost 5 inf + 51023 71.295 * * [simplify]: Extracting #7: cost 0 inf + 52873 71.311 * * [simplify]: Extracting #8: cost 0 inf + 52872 71.322 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 71.322 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 71.322 * * * * [progress]: [ 116 / 196 ] simplifiying candidate # 71.322 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 71.322 * * [simplify]: iters left: 6 (16 enodes) 71.327 * * [simplify]: iters left: 5 (65 enodes) 71.337 * * [simplify]: iters left: 4 (106 enodes) 71.361 * * [simplify]: iters left: 3 (249 enodes) 71.446 * * [simplify]: Extracting #0: cost 1 inf + 0 71.446 * * [simplify]: Extracting #1: cost 29 inf + 0 71.447 * * [simplify]: Extracting #2: cost 111 inf + 0 71.448 * * [simplify]: Extracting #3: cost 149 inf + 421 71.451 * * [simplify]: Extracting #4: cost 131 inf + 6127 71.459 * * [simplify]: Extracting #5: cost 65 inf + 21975 71.477 * * [simplify]: Extracting #6: cost 5 inf + 39411 71.493 * * [simplify]: Extracting #7: cost 0 inf + 41150 71.509 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 71.510 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 71.510 * * * * [progress]: [ 117 / 196 ] simplifiying candidate # 71.510 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 71.510 * * [simplify]: iters left: 6 (15 enodes) 71.519 * * [simplify]: iters left: 5 (64 enodes) 71.540 * * [simplify]: iters left: 4 (113 enodes) 71.572 * * [simplify]: iters left: 3 (231 enodes) 71.677 * * [simplify]: Extracting #0: cost 1 inf + 0 71.677 * * [simplify]: Extracting #1: cost 22 inf + 0 71.677 * * [simplify]: Extracting #2: cost 105 inf + 0 71.678 * * [simplify]: Extracting #3: cost 144 inf + 420 71.680 * * [simplify]: Extracting #4: cost 144 inf + 3297 71.686 * * [simplify]: Extracting #5: cost 75 inf + 17014 71.698 * * [simplify]: Extracting #6: cost 8 inf + 33110 71.711 * * [simplify]: Extracting #7: cost 0 inf + 34509 71.720 * * [simplify]: Extracting #8: cost 0 inf + 34438 71.727 * [simplify]: Simplified to (- (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2) (log (sqrt k))) 71.727 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2) (log (sqrt k))))) 71.727 * * * * [progress]: [ 118 / 196 ] simplifiying candidate # 71.728 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 71.728 * * [simplify]: iters left: 6 (15 enodes) 71.732 * * [simplify]: iters left: 5 (64 enodes) 71.746 * * [simplify]: iters left: 4 (113 enodes) 71.777 * * [simplify]: iters left: 3 (231 enodes) 71.846 * * [simplify]: Extracting #0: cost 1 inf + 0 71.846 * * [simplify]: Extracting #1: cost 22 inf + 0 71.846 * * [simplify]: Extracting #2: cost 105 inf + 0 71.846 * * [simplify]: Extracting #3: cost 144 inf + 420 71.847 * * [simplify]: Extracting #4: cost 144 inf + 3297 71.850 * * [simplify]: Extracting #5: cost 75 inf + 17014 71.856 * * [simplify]: Extracting #6: cost 8 inf + 33110 71.863 * * [simplify]: Extracting #7: cost 0 inf + 34509 71.870 * * [simplify]: Extracting #8: cost 0 inf + 34438 71.880 * [simplify]: Simplified to (- (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2) (log (sqrt k))) 71.880 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2) (log (sqrt k))))) 71.880 * * * * [progress]: [ 119 / 196 ] simplifiying candidate # 71.880 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 71.880 * * [simplify]: iters left: 6 (15 enodes) 71.885 * * [simplify]: iters left: 5 (63 enodes) 71.895 * * [simplify]: iters left: 4 (108 enodes) 71.916 * * [simplify]: iters left: 3 (219 enodes) 71.995 * * [simplify]: Extracting #0: cost 1 inf + 0 71.995 * * [simplify]: Extracting #1: cost 24 inf + 0 71.996 * * [simplify]: Extracting #2: cost 131 inf + 0 71.996 * * [simplify]: Extracting #3: cost 202 inf + 4 71.997 * * [simplify]: Extracting #4: cost 158 inf + 7632 72.003 * * [simplify]: Extracting #5: cost 32 inf + 34821 72.019 * * [simplify]: Extracting #6: cost 1 inf + 43917 72.034 * * [simplify]: Extracting #7: cost 0 inf + 44373 72.050 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k))) 72.050 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k))))) 72.050 * * * * [progress]: [ 120 / 196 ] simplifiying candidate # 72.051 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 72.051 * * [simplify]: iters left: 6 (18 enodes) 72.060 * * [simplify]: iters left: 5 (73 enodes) 72.072 * * [simplify]: iters left: 4 (130 enodes) 72.112 * * [simplify]: iters left: 3 (395 enodes) 72.345 * * [simplify]: Extracting #0: cost 1 inf + 0 72.345 * * [simplify]: Extracting #1: cost 49 inf + 0 72.347 * * [simplify]: Extracting #2: cost 207 inf + 1 72.350 * * [simplify]: Extracting #3: cost 251 inf + 2592 72.360 * * [simplify]: Extracting #4: cost 171 inf + 29747 72.389 * * [simplify]: Extracting #5: cost 31 inf + 75442 72.418 * * [simplify]: Extracting #6: cost 0 inf + 86422 72.435 * * [simplify]: Extracting #7: cost 0 inf + 86386 72.462 * * [simplify]: Extracting #8: cost 0 inf + 86384 72.498 * [simplify]: Simplified to (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))) 72.498 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))))) 72.499 * * * * [progress]: [ 121 / 196 ] simplifiying candidate # 72.499 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 72.499 * * [simplify]: iters left: 6 (17 enodes) 72.509 * * [simplify]: iters left: 5 (71 enodes) 72.534 * * [simplify]: iters left: 4 (123 enodes) 72.561 * * [simplify]: iters left: 3 (316 enodes) 72.756 * * [simplify]: Extracting #0: cost 1 inf + 0 72.756 * * [simplify]: Extracting #1: cost 39 inf + 0 72.757 * * [simplify]: Extracting #2: cost 184 inf + 1 72.759 * * [simplify]: Extracting #3: cost 231 inf + 1700 72.767 * * [simplify]: Extracting #4: cost 166 inf + 21070 72.789 * * [simplify]: Extracting #5: cost 14 inf + 63591 72.817 * * [simplify]: Extracting #6: cost 0 inf + 68646 72.849 * * [simplify]: Extracting #7: cost 0 inf + 68639 72.877 * * [simplify]: Extracting #8: cost 0 inf + 68637 72.905 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 72.905 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 72.905 * * * * [progress]: [ 122 / 196 ] simplifiying candidate # 72.905 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 72.906 * * [simplify]: iters left: 6 (16 enodes) 72.911 * * [simplify]: iters left: 5 (70 enodes) 72.923 * * [simplify]: iters left: 4 (130 enodes) 72.960 * * [simplify]: iters left: 3 (289 enodes) 73.134 * * [simplify]: Extracting #0: cost 1 inf + 0 73.134 * * [simplify]: Extracting #1: cost 32 inf + 0 73.135 * * [simplify]: Extracting #2: cost 161 inf + 1 73.136 * * [simplify]: Extracting #3: cost 221 inf + 350 73.139 * * [simplify]: Extracting #4: cost 206 inf + 4397 73.150 * * [simplify]: Extracting #5: cost 77 inf + 33575 73.171 * * [simplify]: Extracting #6: cost 4 inf + 54106 73.194 * * [simplify]: Extracting #7: cost 0 inf + 54498 73.221 * * [simplify]: Extracting #8: cost 0 inf + 54489 73.244 * * [simplify]: Extracting #9: cost 0 inf + 54485 73.267 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 73.267 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 73.267 * * * * [progress]: [ 123 / 196 ] simplifiying candidate # 73.267 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 73.268 * * [simplify]: iters left: 6 (16 enodes) 73.276 * * [simplify]: iters left: 5 (70 enodes) 73.300 * * [simplify]: iters left: 4 (130 enodes) 73.347 * * [simplify]: iters left: 3 (289 enodes) 73.519 * * [simplify]: Extracting #0: cost 1 inf + 0 73.519 * * [simplify]: Extracting #1: cost 32 inf + 0 73.520 * * [simplify]: Extracting #2: cost 161 inf + 1 73.521 * * [simplify]: Extracting #3: cost 221 inf + 350 73.524 * * [simplify]: Extracting #4: cost 206 inf + 4397 73.534 * * [simplify]: Extracting #5: cost 77 inf + 33575 73.555 * * [simplify]: Extracting #6: cost 4 inf + 54106 73.578 * * [simplify]: Extracting #7: cost 0 inf + 54498 73.600 * * [simplify]: Extracting #8: cost 0 inf + 54489 73.626 * * [simplify]: Extracting #9: cost 0 inf + 54485 73.639 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 73.639 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 73.639 * * * * [progress]: [ 124 / 196 ] simplifiying candidate # 73.639 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 73.639 * * [simplify]: iters left: 6 (16 enodes) 73.644 * * [simplify]: iters left: 5 (69 enodes) 73.667 * * [simplify]: iters left: 4 (125 enodes) 73.703 * * [simplify]: iters left: 3 (270 enodes) 73.820 * * [simplify]: Extracting #0: cost 1 inf + 0 73.820 * * [simplify]: Extracting #1: cost 35 inf + 0 73.821 * * [simplify]: Extracting #2: cost 196 inf + 1 73.823 * * [simplify]: Extracting #3: cost 283 inf + 188 73.826 * * [simplify]: Extracting #4: cost 240 inf + 6697 73.836 * * [simplify]: Extracting #5: cost 81 inf + 44408 73.847 * * [simplify]: Extracting #6: cost 1 inf + 69403 73.859 * * [simplify]: Extracting #7: cost 0 inf + 68461 73.871 * * [simplify]: Extracting #8: cost 0 inf + 68241 73.884 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (log (sqrt k))) 73.884 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (log (sqrt k))))) 73.884 * * * * [progress]: [ 125 / 196 ] simplifiying candidate # 73.884 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 73.884 * * [simplify]: iters left: 6 (18 enodes) 73.890 * * [simplify]: iters left: 5 (74 enodes) 73.912 * * [simplify]: iters left: 4 (125 enodes) 73.961 * * [simplify]: iters left: 3 (361 enodes) 74.125 * * [simplify]: Extracting #0: cost 1 inf + 0 74.125 * * [simplify]: Extracting #1: cost 49 inf + 0 74.126 * * [simplify]: Extracting #2: cost 215 inf + 1 74.128 * * [simplify]: Extracting #3: cost 263 inf + 2236 74.136 * * [simplify]: Extracting #4: cost 184 inf + 25411 74.161 * * [simplify]: Extracting #5: cost 23 inf + 80795 74.191 * * [simplify]: Extracting #6: cost 0 inf + 88708 74.229 * * [simplify]: Extracting #7: cost 0 inf + 88553 74.263 * [simplify]: Simplified to (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))) 74.263 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))))) 74.264 * * * * [progress]: [ 126 / 196 ] simplifiying candidate # 74.264 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 74.264 * * [simplify]: iters left: 6 (17 enodes) 74.274 * * [simplify]: iters left: 5 (72 enodes) 74.288 * * [simplify]: iters left: 4 (118 enodes) 74.314 * * [simplify]: iters left: 3 (297 enodes) 74.433 * * [simplify]: Extracting #0: cost 1 inf + 0 74.433 * * [simplify]: Extracting #1: cost 42 inf + 0 74.434 * * [simplify]: Extracting #2: cost 184 inf + 1 74.436 * * [simplify]: Extracting #3: cost 227 inf + 2133 74.443 * * [simplify]: Extracting #4: cost 158 inf + 21069 74.457 * * [simplify]: Extracting #5: cost 11 inf + 64438 74.471 * * [simplify]: Extracting #6: cost 0 inf + 67903 74.487 * * [simplify]: Extracting #7: cost 0 inf + 67895 74.500 * * [simplify]: Extracting #8: cost 0 inf + 67894 74.513 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 74.513 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 74.513 * * * * [progress]: [ 127 / 196 ] simplifiying candidate # 74.514 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 74.514 * * [simplify]: iters left: 6 (16 enodes) 74.518 * * [simplify]: iters left: 5 (71 enodes) 74.530 * * [simplify]: iters left: 4 (125 enodes) 74.555 * * [simplify]: iters left: 3 (278 enodes) 74.647 * * [simplify]: Extracting #0: cost 1 inf + 0 74.648 * * [simplify]: Extracting #1: cost 31 inf + 0 74.648 * * [simplify]: Extracting #2: cost 160 inf + 1 74.649 * * [simplify]: Extracting #3: cost 218 inf + 543 74.650 * * [simplify]: Extracting #4: cost 211 inf + 3858 74.656 * * [simplify]: Extracting #5: cost 68 inf + 37149 74.666 * * [simplify]: Extracting #6: cost 1 inf + 53912 74.678 * * [simplify]: Extracting #7: cost 0 inf + 53429 74.689 * * [simplify]: Extracting #8: cost 0 inf + 53424 74.703 * [simplify]: Simplified to (- (/ (- (log (* 2 (* n PI))) (* (log (* 2 (* n PI))) k)) 2) (log (sqrt k))) 74.703 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* 2 (* n PI))) (* (log (* 2 (* n PI))) k)) 2) (log (sqrt k))))) 74.703 * * * * [progress]: [ 128 / 196 ] simplifiying candidate # 74.703 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 74.703 * * [simplify]: iters left: 6 (16 enodes) 74.708 * * [simplify]: iters left: 5 (71 enodes) 74.720 * * [simplify]: iters left: 4 (125 enodes) 74.744 * * [simplify]: iters left: 3 (278 enodes) 74.825 * * [simplify]: Extracting #0: cost 1 inf + 0 74.825 * * [simplify]: Extracting #1: cost 31 inf + 0 74.826 * * [simplify]: Extracting #2: cost 160 inf + 1 74.826 * * [simplify]: Extracting #3: cost 218 inf + 543 74.828 * * [simplify]: Extracting #4: cost 211 inf + 3858 74.837 * * [simplify]: Extracting #5: cost 68 inf + 37149 74.852 * * [simplify]: Extracting #6: cost 1 inf + 53912 74.863 * * [simplify]: Extracting #7: cost 0 inf + 53429 74.874 * * [simplify]: Extracting #8: cost 0 inf + 53424 74.885 * [simplify]: Simplified to (- (/ (- (log (* 2 (* n PI))) (* (log (* 2 (* n PI))) k)) 2) (log (sqrt k))) 74.885 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* 2 (* n PI))) (* (log (* 2 (* n PI))) k)) 2) (log (sqrt k))))) 74.885 * * * * [progress]: [ 129 / 196 ] simplifiying candidate # 74.885 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 74.885 * * [simplify]: iters left: 6 (16 enodes) 74.890 * * [simplify]: iters left: 5 (70 enodes) 74.902 * * [simplify]: iters left: 4 (120 enodes) 74.932 * * [simplify]: iters left: 3 (260 enodes) 75.077 * * [simplify]: Extracting #0: cost 1 inf + 0 75.078 * * [simplify]: Extracting #1: cost 32 inf + 0 75.078 * * [simplify]: Extracting #2: cost 185 inf + 1 75.080 * * [simplify]: Extracting #3: cost 272 inf + 76 75.083 * * [simplify]: Extracting #4: cost 230 inf + 6557 75.095 * * [simplify]: Extracting #5: cost 82 inf + 40314 75.117 * * [simplify]: Extracting #6: cost 1 inf + 64262 75.139 * * [simplify]: Extracting #7: cost 0 inf + 63919 75.163 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 75.163 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 75.163 * * * * [progress]: [ 130 / 196 ] simplifiying candidate # 75.163 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 75.163 * * [simplify]: iters left: 6 (17 enodes) 75.173 * * [simplify]: iters left: 5 (71 enodes) 75.199 * * [simplify]: iters left: 4 (119 enodes) 75.242 * * [simplify]: iters left: 3 (317 enodes) 75.381 * * [simplify]: Extracting #0: cost 1 inf + 0 75.381 * * [simplify]: Extracting #1: cost 35 inf + 0 75.382 * * [simplify]: Extracting #2: cost 136 inf + 1 75.383 * * [simplify]: Extracting #3: cost 175 inf + 870 75.385 * * [simplify]: Extracting #4: cost 148 inf + 12109 75.402 * * [simplify]: Extracting #5: cost 20 inf + 48929 75.424 * * [simplify]: Extracting #6: cost 1 inf + 56668 75.448 * * [simplify]: Extracting #7: cost 0 inf + 56913 75.463 * * [simplify]: Extracting #8: cost 0 inf + 56912 75.481 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log 2) (log n))) (* k (+ (log PI) (+ (log 2) (log n))))) 2) (log (sqrt k))) 75.482 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log 2) (log n))) (* k (+ (log PI) (+ (log 2) (log n))))) 2) (log (sqrt k))))) 75.482 * * * * [progress]: [ 131 / 196 ] simplifiying candidate # 75.482 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 75.482 * * [simplify]: iters left: 6 (16 enodes) 75.492 * * [simplify]: iters left: 5 (69 enodes) 75.512 * * [simplify]: iters left: 4 (112 enodes) 75.537 * * [simplify]: iters left: 3 (260 enodes) 75.675 * * [simplify]: Extracting #0: cost 1 inf + 0 75.675 * * [simplify]: Extracting #1: cost 31 inf + 0 75.675 * * [simplify]: Extracting #2: cost 125 inf + 1 75.677 * * [simplify]: Extracting #3: cost 164 inf + 503 75.679 * * [simplify]: Extracting #4: cost 149 inf + 5094 75.687 * * [simplify]: Extracting #5: cost 72 inf + 23789 75.703 * * [simplify]: Extracting #6: cost 9 inf + 43668 75.726 * * [simplify]: Extracting #7: cost 0 inf + 46439 75.737 * * [simplify]: Extracting #8: cost 0 inf + 46437 75.747 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 75.747 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 75.747 * * * * [progress]: [ 132 / 196 ] simplifiying candidate # 75.747 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 75.747 * * [simplify]: iters left: 6 (15 enodes) 75.753 * * [simplify]: iters left: 5 (68 enodes) 75.776 * * [simplify]: iters left: 4 (119 enodes) 75.818 * * [simplify]: iters left: 3 (242 enodes) 75.923 * * [simplify]: Extracting #0: cost 1 inf + 0 75.923 * * [simplify]: Extracting #1: cost 25 inf + 0 75.924 * * [simplify]: Extracting #2: cost 118 inf + 1 75.925 * * [simplify]: Extracting #3: cost 157 inf + 543 75.927 * * [simplify]: Extracting #4: cost 155 inf + 3399 75.932 * * [simplify]: Extracting #5: cost 79 inf + 18565 75.950 * * [simplify]: Extracting #6: cost 4 inf + 37807 75.966 * * [simplify]: Extracting #7: cost 0 inf + 38744 75.982 * [simplify]: Simplified to (- (/ (- (log (* (* n 2) PI)) (* (log (* (* n 2) PI)) k)) 2) (log (sqrt k))) 75.982 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* n 2) PI)) (* (log (* (* n 2) PI)) k)) 2) (log (sqrt k))))) 75.982 * * * * [progress]: [ 133 / 196 ] simplifiying candidate # 75.982 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 75.982 * * [simplify]: iters left: 6 (15 enodes) 75.987 * * [simplify]: iters left: 5 (68 enodes) 75.998 * * [simplify]: iters left: 4 (119 enodes) 76.027 * * [simplify]: iters left: 3 (242 enodes) 76.138 * * [simplify]: Extracting #0: cost 1 inf + 0 76.138 * * [simplify]: Extracting #1: cost 25 inf + 0 76.139 * * [simplify]: Extracting #2: cost 118 inf + 1 76.140 * * [simplify]: Extracting #3: cost 157 inf + 543 76.142 * * [simplify]: Extracting #4: cost 155 inf + 3399 76.147 * * [simplify]: Extracting #5: cost 79 inf + 18565 76.165 * * [simplify]: Extracting #6: cost 4 inf + 37807 76.180 * * [simplify]: Extracting #7: cost 0 inf + 38744 76.197 * [simplify]: Simplified to (- (/ (- (log (* (* n 2) PI)) (* (log (* (* n 2) PI)) k)) 2) (log (sqrt k))) 76.197 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* n 2) PI)) (* (log (* (* n 2) PI)) k)) 2) (log (sqrt k))))) 76.197 * * * * [progress]: [ 134 / 196 ] simplifiying candidate # 76.197 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 76.197 * * [simplify]: iters left: 6 (15 enodes) 76.206 * * [simplify]: iters left: 5 (67 enodes) 76.229 * * [simplify]: iters left: 4 (118 enodes) 76.263 * * [simplify]: iters left: 3 (229 enodes) 76.326 * * [simplify]: Extracting #0: cost 1 inf + 0 76.327 * * [simplify]: Extracting #1: cost 26 inf + 0 76.327 * * [simplify]: Extracting #2: cost 143 inf + 1 76.329 * * [simplify]: Extracting #3: cost 211 inf + 5 76.331 * * [simplify]: Extracting #4: cost 183 inf + 4106 76.339 * * [simplify]: Extracting #5: cost 64 inf + 27369 76.352 * * [simplify]: Extracting #6: cost 6 inf + 45058 76.360 * * [simplify]: Extracting #7: cost 0 inf + 48345 76.369 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 76.369 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 76.369 * * * * [progress]: [ 135 / 196 ] simplifiying candidate # 76.370 * [simplify]: Simplifying (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 76.370 * * [simplify]: iters left: 6 (14 enodes) 76.377 * * [simplify]: iters left: 5 (63 enodes) 76.388 * * [simplify]: iters left: 4 (117 enodes) 76.428 * * [simplify]: iters left: 3 (238 enodes) 76.501 * * [simplify]: Extracting #0: cost 1 inf + 0 76.501 * * [simplify]: Extracting #1: cost 18 inf + 0 76.502 * * [simplify]: Extracting #2: cost 125 inf + 1 76.502 * * [simplify]: Extracting #3: cost 198 inf + 6 76.503 * * [simplify]: Extracting #4: cost 157 inf + 7351 76.509 * * [simplify]: Extracting #5: cost 57 inf + 31905 76.518 * * [simplify]: Extracting #6: cost 1 inf + 53114 76.528 * * [simplify]: Extracting #7: cost 0 inf + 53229 76.537 * [simplify]: Simplified to (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 76.537 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))))) 76.537 * * * * [progress]: [ 136 / 196 ] simplifiying candidate # 76.538 * [simplify]: Simplifying (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 76.538 * * [simplify]: iters left: 6 (14 enodes) 76.542 * * [simplify]: iters left: 5 (62 enodes) 76.555 * * [simplify]: iters left: 4 (108 enodes) 76.579 * * [simplify]: iters left: 3 (210 enodes) 76.630 * * [simplify]: iters left: 2 (478 enodes) 76.832 * * [simplify]: Extracting #0: cost 1 inf + 0 76.833 * * [simplify]: Extracting #1: cost 37 inf + 0 76.833 * * [simplify]: Extracting #2: cost 178 inf + 2 76.834 * * [simplify]: Extracting #3: cost 326 inf + 6 76.836 * * [simplify]: Extracting #4: cost 320 inf + 4386 76.848 * * [simplify]: Extracting #5: cost 187 inf + 59562 76.881 * * [simplify]: Extracting #6: cost 42 inf + 151814 76.920 * * [simplify]: Extracting #7: cost 0 inf + 184997 76.956 * [simplify]: Simplified to (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 76.956 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 76.956 * * * * [progress]: [ 137 / 196 ] simplifiying candidate # 76.956 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 76.957 * * [simplify]: iters left: 6 (19 enodes) 76.968 * * [simplify]: iters left: 5 (80 enodes) 76.987 * * [simplify]: iters left: 4 (188 enodes) 77.074 * * [simplify]: Extracting #0: cost 1 inf + 0 77.074 * * [simplify]: Extracting #1: cost 52 inf + 0 77.074 * * [simplify]: Extracting #2: cost 152 inf + 248 77.075 * * [simplify]: Extracting #3: cost 163 inf + 1599 77.076 * * [simplify]: Extracting #4: cost 149 inf + 2885 77.080 * * [simplify]: Extracting #5: cost 100 inf + 20002 77.102 * * [simplify]: Extracting #6: cost 4 inf + 73803 77.117 * * [simplify]: Extracting #7: cost 0 inf + 75145 77.130 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 77.130 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 77.130 * * * * [progress]: [ 138 / 196 ] simplifiying candidate # 77.130 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 77.132 * * [simplify]: iters left: 6 (17 enodes) 77.137 * * [simplify]: iters left: 5 (81 enodes) 77.158 * * [simplify]: iters left: 4 (170 enodes) 77.256 * * [simplify]: iters left: 3 (480 enodes) 77.648 * * [simplify]: Extracting #0: cost 1 inf + 0 77.649 * * [simplify]: Extracting #1: cost 101 inf + 0 77.651 * * [simplify]: Extracting #2: cost 415 inf + 371 77.655 * * [simplify]: Extracting #3: cost 451 inf + 944 77.660 * * [simplify]: Extracting #4: cost 426 inf + 3607 77.676 * * [simplify]: Extracting #5: cost 295 inf + 71515 77.725 * * [simplify]: Extracting #6: cost 46 inf + 254531 77.800 * * [simplify]: Extracting #7: cost 0 inf + 287503 77.888 * * [simplify]: Extracting #8: cost 0 inf + 285313 77.935 * * [simplify]: Extracting #9: cost 0 inf + 285232 78.011 * [simplify]: Simplified to (/ (/ (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (sqrt k)) (/ (sqrt k) (/ (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (sqrt k)))) 78.011 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (sqrt k)) (/ (sqrt k) (/ (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (sqrt k)))))) 78.011 * * * * [progress]: [ 139 / 196 ] simplifiying candidate # 78.011 * [simplify]: Simplifying (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 78.012 * * [simplify]: iters left: 6 (15 enodes) 78.016 * * [simplify]: iters left: 5 (63 enodes) 78.031 * * [simplify]: iters left: 4 (102 enodes) 78.058 * * [simplify]: iters left: 3 (181 enodes) 78.113 * * [simplify]: iters left: 2 (361 enodes) 78.260 * * [simplify]: Extracting #0: cost 1 inf + 0 78.260 * * [simplify]: Extracting #1: cost 3 inf + 0 78.260 * * [simplify]: Extracting #2: cost 5 inf + 0 78.260 * * [simplify]: Extracting #3: cost 50 inf + 0 78.261 * * [simplify]: Extracting #4: cost 151 inf + 1 78.263 * * [simplify]: Extracting #5: cost 195 inf + 127 78.265 * * [simplify]: Extracting #6: cost 173 inf + 5390 78.272 * * [simplify]: Extracting #7: cost 123 inf + 19035 78.286 * * [simplify]: Extracting #8: cost 39 inf + 68250 78.301 * * [simplify]: Extracting #9: cost 0 inf + 98356 78.317 * * [simplify]: Extracting #10: cost 0 inf + 97934 78.332 * [simplify]: Simplified to (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 78.332 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 78.332 * [simplify]: Simplifying (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 78.332 * * [simplify]: iters left: 6 (14 enodes) 78.336 * * [simplify]: iters left: 5 (60 enodes) 78.353 * * [simplify]: iters left: 4 (103 enodes) 78.371 * * [simplify]: iters left: 3 (177 enodes) 78.415 * * [simplify]: iters left: 2 (339 enodes) 78.534 * * [simplify]: Extracting #0: cost 1 inf + 0 78.534 * * [simplify]: Extracting #1: cost 3 inf + 0 78.534 * * [simplify]: Extracting #2: cost 46 inf + 0 78.534 * * [simplify]: Extracting #3: cost 139 inf + 1 78.535 * * [simplify]: Extracting #4: cost 182 inf + 209 78.537 * * [simplify]: Extracting #5: cost 145 inf + 11436 78.543 * * [simplify]: Extracting #6: cost 69 inf + 41479 78.557 * * [simplify]: Extracting #7: cost 5 inf + 90250 78.572 * * [simplify]: Extracting #8: cost 0 inf + 90639 78.589 * * [simplify]: Extracting #9: cost 0 inf + 90355 78.603 * [simplify]: Simplified to (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 78.603 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 78.604 * * * * [progress]: [ 140 / 196 ] simplifiying candidate # 78.604 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 78.604 * * [simplify]: iters left: 6 (15 enodes) 78.608 * * [simplify]: iters left: 5 (73 enodes) 78.629 * * [simplify]: iters left: 4 (180 enodes) 78.726 * * [simplify]: Extracting #0: cost 1 inf + 0 78.726 * * [simplify]: Extracting #1: cost 39 inf + 0 78.726 * * [simplify]: Extracting #2: cost 116 inf + 2 78.727 * * [simplify]: Extracting #3: cost 128 inf + 1071 78.727 * * [simplify]: Extracting #4: cost 121 inf + 1902 78.729 * * [simplify]: Extracting #5: cost 82 inf + 14733 78.737 * * [simplify]: Extracting #6: cost 21 inf + 47898 78.746 * * [simplify]: Extracting #7: cost 0 inf + 63546 78.756 * * [simplify]: Extracting #8: cost 0 inf + 63428 78.777 * [simplify]: Simplified to (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 78.777 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 78.777 * * * * [progress]: [ 141 / 196 ] simplifiying candidate # 78.777 * [simplify]: Simplifying (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 78.778 * * [simplify]: iters left: 6 (14 enodes) 78.786 * * [simplify]: iters left: 5 (60 enodes) 78.807 * * [simplify]: iters left: 4 (103 enodes) 78.842 * * [simplify]: iters left: 3 (177 enodes) 78.889 * * [simplify]: iters left: 2 (339 enodes) 79.045 * * [simplify]: Extracting #0: cost 1 inf + 0 79.045 * * [simplify]: Extracting #1: cost 3 inf + 0 79.045 * * [simplify]: Extracting #2: cost 46 inf + 0 79.046 * * [simplify]: Extracting #3: cost 139 inf + 1 79.048 * * [simplify]: Extracting #4: cost 182 inf + 209 79.051 * * [simplify]: Extracting #5: cost 145 inf + 11356 79.063 * * [simplify]: Extracting #6: cost 69 inf + 41399 79.092 * * [simplify]: Extracting #7: cost 5 inf + 90170 79.117 * * [simplify]: Extracting #8: cost 0 inf + 90559 79.131 * * [simplify]: Extracting #9: cost 0 inf + 90275 79.146 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 79.146 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 79.146 * [simplify]: Simplifying (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 79.147 * * [simplify]: iters left: 6 (14 enodes) 79.151 * * [simplify]: iters left: 5 (60 enodes) 79.164 * * [simplify]: iters left: 4 (103 enodes) 79.201 * * [simplify]: iters left: 3 (177 enodes) 79.249 * * [simplify]: iters left: 2 (339 enodes) 79.400 * * [simplify]: Extracting #0: cost 1 inf + 0 79.400 * * [simplify]: Extracting #1: cost 3 inf + 0 79.400 * * [simplify]: Extracting #2: cost 46 inf + 0 79.401 * * [simplify]: Extracting #3: cost 139 inf + 1 79.402 * * [simplify]: Extracting #4: cost 182 inf + 209 79.403 * * [simplify]: Extracting #5: cost 145 inf + 11356 79.409 * * [simplify]: Extracting #6: cost 69 inf + 41399 79.432 * * [simplify]: Extracting #7: cost 5 inf + 90170 79.463 * * [simplify]: Extracting #8: cost 0 inf + 90559 79.495 * * [simplify]: Extracting #9: cost 0 inf + 90275 79.527 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 79.527 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 79.527 * * * * [progress]: [ 142 / 196 ] simplifiying candidate # 79.527 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 79.527 * * [simplify]: iters left: 6 (9 enodes) 79.531 * * [simplify]: iters left: 5 (37 enodes) 79.538 * * [simplify]: iters left: 4 (66 enodes) 79.552 * * [simplify]: iters left: 3 (107 enodes) 79.581 * * [simplify]: iters left: 2 (175 enodes) 79.628 * * [simplify]: iters left: 1 (323 enodes) 79.788 * * [simplify]: Extracting #0: cost 1 inf + 0 79.788 * * [simplify]: Extracting #1: cost 29 inf + 0 79.788 * * [simplify]: Extracting #2: cost 110 inf + 3 79.789 * * [simplify]: Extracting #3: cost 100 inf + 304 79.790 * * [simplify]: Extracting #4: cost 69 inf + 11260 79.795 * * [simplify]: Extracting #5: cost 14 inf + 46974 79.802 * * [simplify]: Extracting #6: cost 0 inf + 58618 79.809 * * [simplify]: Extracting #7: cost 0 inf + 57674 79.823 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 79.823 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 79.823 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 79.823 * * [simplify]: iters left: 6 (10 enodes) 79.828 * * [simplify]: iters left: 5 (38 enodes) 79.834 * * [simplify]: iters left: 4 (62 enodes) 79.844 * * [simplify]: iters left: 3 (104 enodes) 79.873 * * [simplify]: iters left: 2 (205 enodes) 79.935 * * [simplify]: iters left: 1 (474 enodes) 80.305 * * [simplify]: Extracting #0: cost 1 inf + 0 80.305 * * [simplify]: Extracting #1: cost 54 inf + 0 80.306 * * [simplify]: Extracting #2: cost 186 inf + 0 80.308 * * [simplify]: Extracting #3: cost 223 inf + 128 80.310 * * [simplify]: Extracting #4: cost 201 inf + 1594 80.315 * * [simplify]: Extracting #5: cost 159 inf + 10166 80.338 * * [simplify]: Extracting #6: cost 56 inf + 92292 80.381 * * [simplify]: Extracting #7: cost 0 inf + 142698 80.411 * * [simplify]: Extracting #8: cost 0 inf + 141152 80.444 * * [simplify]: Extracting #9: cost 0 inf + 140857 80.466 * * [simplify]: Extracting #10: cost 0 inf + 140565 80.487 * [simplify]: Simplified to (* (pow (* (* 2 n) PI) (* 1/2 k)) (sqrt k)) 80.487 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 n) PI) (* 1/2 k)) (sqrt k)))) 80.487 * * * * [progress]: [ 143 / 196 ] simplifiying candidate # 80.488 * * * * [progress]: [ 144 / 196 ] simplifiying candidate # 80.488 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 80.488 * * [simplify]: iters left: 6 (15 enodes) 80.494 * * [simplify]: iters left: 5 (61 enodes) 80.514 * * [simplify]: iters left: 4 (91 enodes) 80.545 * * [simplify]: iters left: 3 (131 enodes) 80.591 * * [simplify]: iters left: 2 (227 enodes) 80.643 * * [simplify]: iters left: 1 (403 enodes) 80.790 * * [simplify]: Extracting #0: cost 1 inf + 0 80.791 * * [simplify]: Extracting #1: cost 4 inf + 0 80.791 * * [simplify]: Extracting #2: cost 9 inf + 0 80.791 * * [simplify]: Extracting #3: cost 43 inf + 0 80.791 * * [simplify]: Extracting #4: cost 135 inf + 2 80.792 * * [simplify]: Extracting #5: cost 180 inf + 588 80.794 * * [simplify]: Extracting #6: cost 114 inf + 12797 80.802 * * [simplify]: Extracting #7: cost 26 inf + 49000 80.824 * * [simplify]: Extracting #8: cost 0 inf + 66150 80.853 * * [simplify]: Extracting #9: cost 0 inf + 62269 80.888 * * [simplify]: Extracting #10: cost 0 inf + 60699 80.924 * * [simplify]: Extracting #11: cost 0 inf + 60599 80.961 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 80.961 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 80.961 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 80.962 * * [simplify]: iters left: 6 (15 enodes) 80.970 * * [simplify]: iters left: 5 (61 enodes) 80.990 * * [simplify]: iters left: 4 (91 enodes) 81.012 * * [simplify]: iters left: 3 (131 enodes) 81.040 * * [simplify]: iters left: 2 (227 enodes) 81.101 * * [simplify]: iters left: 1 (403 enodes) 81.267 * * [simplify]: Extracting #0: cost 1 inf + 0 81.267 * * [simplify]: Extracting #1: cost 4 inf + 0 81.267 * * [simplify]: Extracting #2: cost 9 inf + 0 81.267 * * [simplify]: Extracting #3: cost 43 inf + 0 81.268 * * [simplify]: Extracting #4: cost 135 inf + 2 81.269 * * [simplify]: Extracting #5: cost 180 inf + 588 81.273 * * [simplify]: Extracting #6: cost 114 inf + 12797 81.281 * * [simplify]: Extracting #7: cost 26 inf + 49000 81.297 * * [simplify]: Extracting #8: cost 0 inf + 66150 81.315 * * [simplify]: Extracting #9: cost 0 inf + 62269 81.342 * * [simplify]: Extracting #10: cost 0 inf + 60699 81.360 * * [simplify]: Extracting #11: cost 0 inf + 60599 81.390 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 81.390 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 81.391 * * * * [progress]: [ 145 / 196 ] simplifiying candidate # 81.391 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 81.391 * * [simplify]: iters left: 6 (15 enodes) 81.399 * * [simplify]: iters left: 5 (64 enodes) 81.420 * * [simplify]: iters left: 4 (101 enodes) 81.455 * * [simplify]: iters left: 3 (160 enodes) 81.513 * * [simplify]: iters left: 2 (307 enodes) 81.617 * * [simplify]: Extracting #0: cost 1 inf + 0 81.617 * * [simplify]: Extracting #1: cost 40 inf + 0 81.617 * * [simplify]: Extracting #2: cost 111 inf + 0 81.618 * * [simplify]: Extracting #3: cost 166 inf + 2 81.619 * * [simplify]: Extracting #4: cost 181 inf + 139 81.620 * * [simplify]: Extracting #5: cost 147 inf + 4701 81.624 * * [simplify]: Extracting #6: cost 66 inf + 32947 81.640 * * [simplify]: Extracting #7: cost 15 inf + 70703 81.655 * * [simplify]: Extracting #8: cost 1 inf + 79793 81.670 * * [simplify]: Extracting #9: cost 0 inf + 80911 81.691 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))) 81.691 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 81.692 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 81.692 * * [simplify]: iters left: 6 (15 enodes) 81.701 * * [simplify]: iters left: 5 (64 enodes) 81.722 * * [simplify]: iters left: 4 (101 enodes) 81.739 * * [simplify]: iters left: 3 (160 enodes) 81.779 * * [simplify]: iters left: 2 (307 enodes) 81.865 * * [simplify]: Extracting #0: cost 1 inf + 0 81.865 * * [simplify]: Extracting #1: cost 40 inf + 0 81.866 * * [simplify]: Extracting #2: cost 111 inf + 0 81.866 * * [simplify]: Extracting #3: cost 166 inf + 2 81.867 * * [simplify]: Extracting #4: cost 181 inf + 139 81.868 * * [simplify]: Extracting #5: cost 147 inf + 4701 81.872 * * [simplify]: Extracting #6: cost 66 inf + 32947 81.883 * * [simplify]: Extracting #7: cost 15 inf + 70703 81.903 * * [simplify]: Extracting #8: cost 1 inf + 79793 81.915 * * [simplify]: Extracting #9: cost 0 inf + 80911 81.928 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))) 81.928 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (- 1/4 (/ k 4)))))) 81.928 * * * * [progress]: [ 146 / 196 ] simplifiying candidate # 81.928 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 81.928 * * [simplify]: iters left: 6 (16 enodes) 81.936 * * [simplify]: iters left: 5 (66 enodes) 81.952 * * [simplify]: iters left: 4 (106 enodes) 81.972 * * [simplify]: iters left: 3 (158 enodes) 82.020 * * [simplify]: iters left: 2 (244 enodes) 82.109 * * [simplify]: iters left: 1 (418 enodes) 82.247 * * [simplify]: Extracting #0: cost 1 inf + 0 82.247 * * [simplify]: Extracting #1: cost 7 inf + 0 82.247 * * [simplify]: Extracting #2: cost 13 inf + 1 82.247 * * [simplify]: Extracting #3: cost 39 inf + 1 82.248 * * [simplify]: Extracting #4: cost 119 inf + 288 82.250 * * [simplify]: Extracting #5: cost 150 inf + 2066 82.255 * * [simplify]: Extracting #6: cost 91 inf + 11903 82.266 * * [simplify]: Extracting #7: cost 32 inf + 32353 82.287 * * [simplify]: Extracting #8: cost 1 inf + 59652 82.306 * * [simplify]: Extracting #9: cost 0 inf + 60951 82.324 * [simplify]: Simplified to (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 82.324 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 82.325 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 82.325 * * [simplify]: iters left: 6 (16 enodes) 82.334 * * [simplify]: iters left: 5 (66 enodes) 82.356 * * [simplify]: iters left: 4 (106 enodes) 82.390 * * [simplify]: iters left: 3 (158 enodes) 82.426 * * [simplify]: iters left: 2 (244 enodes) 82.470 * * [simplify]: iters left: 1 (418 enodes) 82.625 * * [simplify]: Extracting #0: cost 1 inf + 0 82.625 * * [simplify]: Extracting #1: cost 7 inf + 0 82.626 * * [simplify]: Extracting #2: cost 13 inf + 1 82.626 * * [simplify]: Extracting #3: cost 39 inf + 1 82.626 * * [simplify]: Extracting #4: cost 119 inf + 288 82.628 * * [simplify]: Extracting #5: cost 150 inf + 2066 82.633 * * [simplify]: Extracting #6: cost 91 inf + 11903 82.644 * * [simplify]: Extracting #7: cost 32 inf + 32353 82.662 * * [simplify]: Extracting #8: cost 1 inf + 59652 82.677 * * [simplify]: Extracting #9: cost 0 inf + 60951 82.686 * [simplify]: Simplified to (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 82.687 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 82.687 * * * * [progress]: [ 147 / 196 ] simplifiying candidate # 82.687 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 82.687 * * [simplify]: iters left: 6 (16 enodes) 82.695 * * [simplify]: iters left: 5 (69 enodes) 82.710 * * [simplify]: iters left: 4 (113 enodes) 82.736 * * [simplify]: iters left: 3 (200 enodes) 82.791 * * [simplify]: iters left: 2 (403 enodes) 82.954 * * [simplify]: Extracting #0: cost 1 inf + 0 82.954 * * [simplify]: Extracting #1: cost 49 inf + 0 82.955 * * [simplify]: Extracting #2: cost 145 inf + 1 82.956 * * [simplify]: Extracting #3: cost 202 inf + 3 82.957 * * [simplify]: Extracting #4: cost 195 inf + 3451 82.962 * * [simplify]: Extracting #5: cost 109 inf + 27765 82.977 * * [simplify]: Extracting #6: cost 31 inf + 71118 83.006 * * [simplify]: Extracting #7: cost 0 inf + 97340 83.023 * * [simplify]: Extracting #8: cost 0 inf + 97260 83.039 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 83.040 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 83.040 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 83.040 * * [simplify]: iters left: 6 (16 enodes) 83.050 * * [simplify]: iters left: 5 (69 enodes) 83.072 * * [simplify]: iters left: 4 (113 enodes) 83.095 * * [simplify]: iters left: 3 (200 enodes) 83.148 * * [simplify]: iters left: 2 (403 enodes) 83.302 * * [simplify]: Extracting #0: cost 1 inf + 0 83.302 * * [simplify]: Extracting #1: cost 49 inf + 0 83.303 * * [simplify]: Extracting #2: cost 145 inf + 1 83.303 * * [simplify]: Extracting #3: cost 202 inf + 3 83.305 * * [simplify]: Extracting #4: cost 195 inf + 3451 83.309 * * [simplify]: Extracting #5: cost 109 inf + 27765 83.327 * * [simplify]: Extracting #6: cost 31 inf + 71118 83.352 * * [simplify]: Extracting #7: cost 0 inf + 97340 83.370 * * [simplify]: Extracting #8: cost 0 inf + 97260 83.393 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 83.393 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 83.394 * * * * [progress]: [ 148 / 196 ] simplifiying candidate # 83.394 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 83.394 * * [simplify]: iters left: 6 (16 enodes) 83.399 * * [simplify]: iters left: 5 (66 enodes) 83.409 * * [simplify]: iters left: 4 (106 enodes) 83.430 * * [simplify]: iters left: 3 (158 enodes) 83.466 * * [simplify]: iters left: 2 (244 enodes) 83.929 * * [simplify]: iters left: 1 (418 enodes) 84.090 * * [simplify]: Extracting #0: cost 1 inf + 0 84.090 * * [simplify]: Extracting #1: cost 7 inf + 0 84.091 * * [simplify]: Extracting #2: cost 13 inf + 1 84.091 * * [simplify]: Extracting #3: cost 39 inf + 1 84.092 * * [simplify]: Extracting #4: cost 119 inf + 288 84.094 * * [simplify]: Extracting #5: cost 150 inf + 2066 84.099 * * [simplify]: Extracting #6: cost 91 inf + 11903 84.110 * * [simplify]: Extracting #7: cost 32 inf + 32353 84.127 * * [simplify]: Extracting #8: cost 1 inf + 59652 84.146 * * [simplify]: Extracting #9: cost 0 inf + 60951 84.164 * [simplify]: Simplified to (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 84.164 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 84.165 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 84.165 * * [simplify]: iters left: 6 (16 enodes) 84.174 * * [simplify]: iters left: 5 (66 enodes) 84.188 * * [simplify]: iters left: 4 (106 enodes) 84.209 * * [simplify]: iters left: 3 (158 enodes) 84.259 * * [simplify]: iters left: 2 (244 enodes) 84.348 * * [simplify]: iters left: 1 (418 enodes) 84.503 * * [simplify]: Extracting #0: cost 1 inf + 0 84.504 * * [simplify]: Extracting #1: cost 7 inf + 0 84.504 * * [simplify]: Extracting #2: cost 13 inf + 1 84.504 * * [simplify]: Extracting #3: cost 39 inf + 1 84.505 * * [simplify]: Extracting #4: cost 119 inf + 288 84.507 * * [simplify]: Extracting #5: cost 150 inf + 2066 84.517 * * [simplify]: Extracting #6: cost 91 inf + 11903 84.528 * * [simplify]: Extracting #7: cost 32 inf + 32353 84.544 * * [simplify]: Extracting #8: cost 1 inf + 59652 84.553 * * [simplify]: Extracting #9: cost 0 inf + 60951 84.562 * [simplify]: Simplified to (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 84.562 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 84.562 * * * * [progress]: [ 149 / 196 ] simplifiying candidate # 84.562 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 84.562 * * [simplify]: iters left: 6 (16 enodes) 84.568 * * [simplify]: iters left: 5 (69 enodes) 84.589 * * [simplify]: iters left: 4 (113 enodes) 84.630 * * [simplify]: iters left: 3 (200 enodes) 84.697 * * [simplify]: iters left: 2 (403 enodes) 84.875 * * [simplify]: Extracting #0: cost 1 inf + 0 84.875 * * [simplify]: Extracting #1: cost 49 inf + 0 84.876 * * [simplify]: Extracting #2: cost 145 inf + 1 84.877 * * [simplify]: Extracting #3: cost 202 inf + 3 84.880 * * [simplify]: Extracting #4: cost 195 inf + 3451 84.889 * * [simplify]: Extracting #5: cost 109 inf + 27765 84.911 * * [simplify]: Extracting #6: cost 31 inf + 71118 84.942 * * [simplify]: Extracting #7: cost 0 inf + 97340 84.973 * * [simplify]: Extracting #8: cost 0 inf + 97260 85.007 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 85.007 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 85.008 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 85.008 * * [simplify]: iters left: 6 (16 enodes) 85.019 * * [simplify]: iters left: 5 (69 enodes) 85.042 * * [simplify]: iters left: 4 (113 enodes) 85.066 * * [simplify]: iters left: 3 (200 enodes) 85.125 * * [simplify]: iters left: 2 (403 enodes) 85.324 * * [simplify]: Extracting #0: cost 1 inf + 0 85.325 * * [simplify]: Extracting #1: cost 49 inf + 0 85.326 * * [simplify]: Extracting #2: cost 145 inf + 1 85.327 * * [simplify]: Extracting #3: cost 202 inf + 3 85.329 * * [simplify]: Extracting #4: cost 195 inf + 3451 85.336 * * [simplify]: Extracting #5: cost 109 inf + 27765 85.351 * * [simplify]: Extracting #6: cost 31 inf + 71118 85.366 * * [simplify]: Extracting #7: cost 0 inf + 97340 85.383 * * [simplify]: Extracting #8: cost 0 inf + 97260 85.399 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 85.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 85.399 * * * * [progress]: [ 150 / 196 ] simplifiying candidate # 85.399 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 85.400 * * [simplify]: iters left: 6 (15 enodes) 85.404 * * [simplify]: iters left: 5 (63 enodes) 85.422 * * [simplify]: iters left: 4 (97 enodes) 85.457 * * [simplify]: iters left: 3 (154 enodes) 85.511 * * [simplify]: iters left: 2 (256 enodes) 85.576 * * [simplify]: iters left: 1 (429 enodes) 85.746 * * [simplify]: Extracting #0: cost 1 inf + 0 85.746 * * [simplify]: Extracting #1: cost 7 inf + 0 85.746 * * [simplify]: Extracting #2: cost 13 inf + 1 85.747 * * [simplify]: Extracting #3: cost 43 inf + 1 85.747 * * [simplify]: Extracting #4: cost 126 inf + 3 85.748 * * [simplify]: Extracting #5: cost 174 inf + 1456 85.751 * * [simplify]: Extracting #6: cost 87 inf + 16118 85.766 * * [simplify]: Extracting #7: cost 15 inf + 52442 85.788 * * [simplify]: Extracting #8: cost 0 inf + 64980 85.809 * * [simplify]: Extracting #9: cost 0 inf + 63867 85.820 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 85.820 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 85.820 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 85.820 * * [simplify]: iters left: 6 (15 enodes) 85.825 * * [simplify]: iters left: 5 (63 enodes) 85.835 * * [simplify]: iters left: 4 (97 enodes) 85.852 * * [simplify]: iters left: 3 (154 enodes) 85.894 * * [simplify]: iters left: 2 (256 enodes) 85.959 * * [simplify]: iters left: 1 (429 enodes) 86.120 * * [simplify]: Extracting #0: cost 1 inf + 0 86.120 * * [simplify]: Extracting #1: cost 7 inf + 0 86.120 * * [simplify]: Extracting #2: cost 13 inf + 1 86.121 * * [simplify]: Extracting #3: cost 43 inf + 1 86.121 * * [simplify]: Extracting #4: cost 126 inf + 3 86.123 * * [simplify]: Extracting #5: cost 174 inf + 1456 86.129 * * [simplify]: Extracting #6: cost 87 inf + 16118 86.144 * * [simplify]: Extracting #7: cost 15 inf + 52442 86.165 * * [simplify]: Extracting #8: cost 0 inf + 64980 86.190 * * [simplify]: Extracting #9: cost 0 inf + 63867 86.211 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 86.211 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 86.211 * * * * [progress]: [ 151 / 196 ] simplifiying candidate # 86.211 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 86.212 * * [simplify]: iters left: 6 (15 enodes) 86.221 * * [simplify]: iters left: 5 (66 enodes) 86.244 * * [simplify]: iters left: 4 (109 enodes) 86.271 * * [simplify]: iters left: 3 (192 enodes) 86.331 * * [simplify]: iters left: 2 (380 enodes) 86.484 * * [simplify]: Extracting #0: cost 1 inf + 0 86.485 * * [simplify]: Extracting #1: cost 44 inf + 0 86.485 * * [simplify]: Extracting #2: cost 136 inf + 1 86.486 * * [simplify]: Extracting #3: cost 190 inf + 3 86.487 * * [simplify]: Extracting #4: cost 171 inf + 5730 86.493 * * [simplify]: Extracting #5: cost 80 inf + 35174 86.513 * * [simplify]: Extracting #6: cost 5 inf + 88681 86.542 * * [simplify]: Extracting #7: cost 0 inf + 92754 86.565 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 86.565 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 86.565 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 86.565 * * [simplify]: iters left: 6 (15 enodes) 86.570 * * [simplify]: iters left: 5 (66 enodes) 86.582 * * [simplify]: iters left: 4 (109 enodes) 86.618 * * [simplify]: iters left: 3 (192 enodes) 86.698 * * [simplify]: iters left: 2 (380 enodes) 86.843 * * [simplify]: Extracting #0: cost 1 inf + 0 86.843 * * [simplify]: Extracting #1: cost 44 inf + 0 86.844 * * [simplify]: Extracting #2: cost 136 inf + 1 86.845 * * [simplify]: Extracting #3: cost 190 inf + 3 86.848 * * [simplify]: Extracting #4: cost 171 inf + 5730 86.859 * * [simplify]: Extracting #5: cost 80 inf + 35174 86.881 * * [simplify]: Extracting #6: cost 5 inf + 88681 86.898 * * [simplify]: Extracting #7: cost 0 inf + 92754 86.917 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 86.917 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 86.917 * * * * [progress]: [ 152 / 196 ] simplifiying candidate # 86.917 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 86.917 * * [simplify]: iters left: 6 (15 enodes) 86.926 * * [simplify]: iters left: 5 (63 enodes) 86.943 * * [simplify]: iters left: 4 (97 enodes) 86.959 * * [simplify]: iters left: 3 (154 enodes) 86.996 * * [simplify]: iters left: 2 (256 enodes) 87.075 * * [simplify]: iters left: 1 (429 enodes) 87.281 * * [simplify]: Extracting #0: cost 1 inf + 0 87.281 * * [simplify]: Extracting #1: cost 7 inf + 0 87.281 * * [simplify]: Extracting #2: cost 13 inf + 1 87.281 * * [simplify]: Extracting #3: cost 43 inf + 1 87.282 * * [simplify]: Extracting #4: cost 126 inf + 3 87.284 * * [simplify]: Extracting #5: cost 174 inf + 1456 87.289 * * [simplify]: Extracting #6: cost 87 inf + 16118 87.303 * * [simplify]: Extracting #7: cost 15 inf + 52442 87.325 * * [simplify]: Extracting #8: cost 0 inf + 64980 87.346 * * [simplify]: Extracting #9: cost 0 inf + 63867 87.366 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 87.366 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 87.367 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 87.367 * * [simplify]: iters left: 6 (15 enodes) 87.379 * * [simplify]: iters left: 5 (63 enodes) 87.401 * * [simplify]: iters left: 4 (97 enodes) 87.433 * * [simplify]: iters left: 3 (154 enodes) 87.473 * * [simplify]: iters left: 2 (256 enodes) 87.548 * * [simplify]: iters left: 1 (429 enodes) 87.744 * * [simplify]: Extracting #0: cost 1 inf + 0 87.744 * * [simplify]: Extracting #1: cost 7 inf + 0 87.744 * * [simplify]: Extracting #2: cost 13 inf + 1 87.744 * * [simplify]: Extracting #3: cost 43 inf + 1 87.745 * * [simplify]: Extracting #4: cost 126 inf + 3 87.745 * * [simplify]: Extracting #5: cost 174 inf + 1456 87.748 * * [simplify]: Extracting #6: cost 87 inf + 16118 87.759 * * [simplify]: Extracting #7: cost 15 inf + 52442 87.779 * * [simplify]: Extracting #8: cost 0 inf + 64980 87.790 * * [simplify]: Extracting #9: cost 0 inf + 63867 87.800 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 87.800 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 87.800 * * * * [progress]: [ 153 / 196 ] simplifiying candidate # 87.801 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 87.801 * * [simplify]: iters left: 6 (15 enodes) 87.806 * * [simplify]: iters left: 5 (66 enodes) 87.817 * * [simplify]: iters left: 4 (109 enodes) 87.840 * * [simplify]: iters left: 3 (192 enodes) 87.882 * * [simplify]: iters left: 2 (380 enodes) 88.044 * * [simplify]: Extracting #0: cost 1 inf + 0 88.044 * * [simplify]: Extracting #1: cost 44 inf + 0 88.045 * * [simplify]: Extracting #2: cost 136 inf + 1 88.046 * * [simplify]: Extracting #3: cost 190 inf + 3 88.049 * * [simplify]: Extracting #4: cost 171 inf + 5730 88.060 * * [simplify]: Extracting #5: cost 80 inf + 35174 88.080 * * [simplify]: Extracting #6: cost 5 inf + 88681 88.098 * * [simplify]: Extracting #7: cost 0 inf + 92754 88.119 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 88.119 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 88.119 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 88.119 * * [simplify]: iters left: 6 (15 enodes) 88.124 * * [simplify]: iters left: 5 (66 enodes) 88.135 * * [simplify]: iters left: 4 (109 enodes) 88.160 * * [simplify]: iters left: 3 (192 enodes) 88.215 * * [simplify]: iters left: 2 (380 enodes) 88.387 * * [simplify]: Extracting #0: cost 1 inf + 0 88.388 * * [simplify]: Extracting #1: cost 44 inf + 0 88.388 * * [simplify]: Extracting #2: cost 136 inf + 1 88.389 * * [simplify]: Extracting #3: cost 190 inf + 3 88.390 * * [simplify]: Extracting #4: cost 171 inf + 5730 88.396 * * [simplify]: Extracting #5: cost 80 inf + 35174 88.409 * * [simplify]: Extracting #6: cost 5 inf + 88681 88.432 * * [simplify]: Extracting #7: cost 0 inf + 92754 88.457 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 88.457 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 88.458 * * * * [progress]: [ 154 / 196 ] simplifiying candidate # 88.458 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 88.458 * * [simplify]: iters left: 6 (11 enodes) 88.461 * * [simplify]: iters left: 5 (48 enodes) 88.470 * * [simplify]: iters left: 4 (79 enodes) 88.488 * * [simplify]: iters left: 3 (152 enodes) 88.554 * * [simplify]: iters left: 2 (332 enodes) 88.734 * * [simplify]: Extracting #0: cost 1 inf + 0 88.734 * * [simplify]: Extracting #1: cost 45 inf + 0 88.735 * * [simplify]: Extracting #2: cost 144 inf + 1 88.735 * * [simplify]: Extracting #3: cost 187 inf + 168 88.736 * * [simplify]: Extracting #4: cost 173 inf + 1666 88.739 * * [simplify]: Extracting #5: cost 114 inf + 17653 88.748 * * [simplify]: Extracting #6: cost 19 inf + 71015 88.760 * * [simplify]: Extracting #7: cost 0 inf + 84677 88.783 * * [simplify]: Extracting #8: cost 0 inf + 84415 88.808 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 88.808 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2)))) 88.808 * * * * [progress]: [ 155 / 196 ] simplifiying candidate # 88.809 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 88.809 * * [simplify]: iters left: 6 (15 enodes) 88.821 * * [simplify]: iters left: 5 (65 enodes) 88.843 * * [simplify]: iters left: 4 (105 enodes) 88.878 * * [simplify]: iters left: 3 (170 enodes) 88.937 * * [simplify]: iters left: 2 (278 enodes) 88.999 * * [simplify]: iters left: 1 (444 enodes) 89.146 * * [simplify]: Extracting #0: cost 1 inf + 0 89.146 * * [simplify]: Extracting #1: cost 10 inf + 0 89.146 * * [simplify]: Extracting #2: cost 18 inf + 1 89.146 * * [simplify]: Extracting #3: cost 44 inf + 2 89.147 * * [simplify]: Extracting #4: cost 118 inf + 249 89.149 * * [simplify]: Extracting #5: cost 172 inf + 631 89.154 * * [simplify]: Extracting #6: cost 111 inf + 11109 89.164 * * [simplify]: Extracting #7: cost 49 inf + 28639 89.181 * * [simplify]: Extracting #8: cost 18 inf + 53478 89.202 * * [simplify]: Extracting #9: cost 0 inf + 71422 89.225 * * [simplify]: Extracting #10: cost 0 inf + 70941 89.246 * * [simplify]: Extracting #11: cost 0 inf + 70439 89.257 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* 2 (* n PI)) (* 1/2 (- 1 k))))) (sqrt k)) 89.257 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* 2 (* n PI)) (* 1/2 (- 1 k))))) (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 89.257 * * * * [progress]: [ 156 / 196 ] simplifiying candidate # 89.257 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 89.257 * * [simplify]: iters left: 6 (14 enodes) 89.264 * * [simplify]: iters left: 5 (60 enodes) 89.274 * * [simplify]: iters left: 4 (98 enodes) 89.306 * * [simplify]: iters left: 3 (150 enodes) 89.353 * * [simplify]: iters left: 2 (231 enodes) 89.416 * * [simplify]: iters left: 1 (414 enodes) 89.571 * * [simplify]: Extracting #0: cost 1 inf + 0 89.571 * * [simplify]: Extracting #1: cost 7 inf + 0 89.571 * * [simplify]: Extracting #2: cost 13 inf + 1 89.571 * * [simplify]: Extracting #3: cost 36 inf + 2 89.572 * * [simplify]: Extracting #4: cost 118 inf + 249 89.573 * * [simplify]: Extracting #5: cost 152 inf + 671 89.574 * * [simplify]: Extracting #6: cost 106 inf + 5875 89.578 * * [simplify]: Extracting #7: cost 50 inf + 21658 89.586 * * [simplify]: Extracting #8: cost 7 inf + 53310 89.600 * * [simplify]: Extracting #9: cost 0 inf + 58899 89.610 * [simplify]: Simplified to (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)) 89.610 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 89.610 * * * * [progress]: [ 157 / 196 ] simplifiying candidate # 89.610 * [simplify]: Simplifying (* (/ 1 (sqrt k)) 1) 89.610 * * [simplify]: iters left: 5 (5 enodes) 89.612 * * [simplify]: iters left: 4 (18 enodes) 89.615 * * [simplify]: iters left: 3 (20 enodes) 89.617 * * [simplify]: Extracting #0: cost 1 inf + 0 89.617 * * [simplify]: Extracting #1: cost 4 inf + 0 89.617 * * [simplify]: Extracting #2: cost 5 inf + 1 89.617 * * [simplify]: Extracting #3: cost 0 inf + 248 89.618 * [simplify]: Simplified to (/ 1 (sqrt k)) 89.618 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 89.618 * * * * [progress]: [ 158 / 196 ] simplifiying candidate # 89.618 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 89.618 * * [simplify]: iters left: 6 (14 enodes) 89.622 * * [simplify]: iters left: 5 (63 enodes) 89.633 * * [simplify]: iters left: 4 (109 enodes) 89.675 * * [simplify]: iters left: 3 (196 enodes) 89.724 * * [simplify]: iters left: 2 (393 enodes) 89.905 * * [simplify]: Extracting #0: cost 1 inf + 0 89.906 * * [simplify]: Extracting #1: cost 45 inf + 0 89.906 * * [simplify]: Extracting #2: cost 146 inf + 1 89.908 * * [simplify]: Extracting #3: cost 195 inf + 127 89.910 * * [simplify]: Extracting #4: cost 189 inf + 1872 89.915 * * [simplify]: Extracting #5: cost 134 inf + 13948 89.933 * * [simplify]: Extracting #6: cost 35 inf + 70488 89.961 * * [simplify]: Extracting #7: cost 0 inf + 95212 89.993 * * [simplify]: Extracting #8: cost 0 inf + 94608 90.022 * [simplify]: Simplified to (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (sqrt k)) 90.022 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 90.022 * * * * [progress]: [ 159 / 196 ] simplifiying candidate # 90.022 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 90.023 * * [simplify]: iters left: 6 (14 enodes) 90.031 * * [simplify]: iters left: 5 (58 enodes) 90.051 * * [simplify]: iters left: 4 (95 enodes) 90.081 * * [simplify]: iters left: 3 (144 enodes) 90.121 * * [simplify]: iters left: 2 (264 enodes) 90.213 * * [simplify]: Extracting #0: cost 1 inf + 0 90.213 * * [simplify]: Extracting #1: cost 31 inf + 0 90.213 * * [simplify]: Extracting #2: cost 106 inf + 0 90.214 * * [simplify]: Extracting #3: cost 153 inf + 2 90.214 * * [simplify]: Extracting #4: cost 160 inf + 179 90.215 * * [simplify]: Extracting #5: cost 154 inf + 757 90.217 * * [simplify]: Extracting #6: cost 98 inf + 8691 90.224 * * [simplify]: Extracting #7: cost 43 inf + 38649 90.234 * * [simplify]: Extracting #8: cost 1 inf + 72683 90.249 * * [simplify]: Extracting #9: cost 0 inf + 73671 90.259 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))) 90.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 90.259 * * * * [progress]: [ 160 / 196 ] simplifiying candidate # 90.259 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 90.259 * * [simplify]: iters left: 6 (14 enodes) 90.263 * * [simplify]: iters left: 5 (58 enodes) 90.273 * * [simplify]: iters left: 4 (95 enodes) 90.293 * * [simplify]: iters left: 3 (144 enodes) 90.341 * * [simplify]: iters left: 2 (264 enodes) 90.432 * * [simplify]: Extracting #0: cost 1 inf + 0 90.432 * * [simplify]: Extracting #1: cost 31 inf + 0 90.433 * * [simplify]: Extracting #2: cost 106 inf + 0 90.434 * * [simplify]: Extracting #3: cost 153 inf + 2 90.435 * * [simplify]: Extracting #4: cost 160 inf + 179 90.436 * * [simplify]: Extracting #5: cost 154 inf + 717 90.439 * * [simplify]: Extracting #6: cost 98 inf + 8531 90.444 * * [simplify]: Extracting #7: cost 43 inf + 37729 90.454 * * [simplify]: Extracting #8: cost 1 inf + 70723 90.464 * * [simplify]: Extracting #9: cost 0 inf + 71671 90.475 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))) 90.475 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 90.475 * * * * [progress]: [ 161 / 196 ] simplifiying candidate # 90.475 * [simplify]: Simplifying (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 90.475 * * [simplify]: iters left: 6 (15 enodes) 90.480 * * [simplify]: iters left: 5 (63 enodes) 90.490 * * [simplify]: iters left: 4 (100 enodes) 90.508 * * [simplify]: iters left: 3 (174 enodes) 90.548 * * [simplify]: iters left: 2 (354 enodes) 90.671 * * [simplify]: Extracting #0: cost 1 inf + 0 90.671 * * [simplify]: Extracting #1: cost 44 inf + 0 90.672 * * [simplify]: Extracting #2: cost 144 inf + 1 90.674 * * [simplify]: Extracting #3: cost 193 inf + 3 90.676 * * [simplify]: Extracting #4: cost 163 inf + 6887 90.688 * * [simplify]: Extracting #5: cost 76 inf + 48226 90.714 * * [simplify]: Extracting #6: cost 7 inf + 94241 90.744 * * [simplify]: Extracting #7: cost 0 inf + 98427 90.774 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 90.774 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 90.774 * * * * [progress]: [ 162 / 196 ] simplifiying candidate # 90.775 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 90.775 * * [simplify]: iters left: 6 (15 enodes) 90.785 * * [simplify]: iters left: 5 (63 enodes) 90.803 * * [simplify]: iters left: 4 (100 enodes) 90.822 * * [simplify]: iters left: 3 (174 enodes) 90.884 * * [simplify]: iters left: 2 (354 enodes) 91.020 * * [simplify]: Extracting #0: cost 1 inf + 0 91.020 * * [simplify]: Extracting #1: cost 44 inf + 0 91.021 * * [simplify]: Extracting #2: cost 144 inf + 1 91.023 * * [simplify]: Extracting #3: cost 193 inf + 3 91.025 * * [simplify]: Extracting #4: cost 163 inf + 6967 91.036 * * [simplify]: Extracting #5: cost 76 inf + 48306 91.063 * * [simplify]: Extracting #6: cost 7 inf + 94321 91.091 * * [simplify]: Extracting #7: cost 0 inf + 98507 91.122 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 91.122 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 91.122 * * * * [progress]: [ 163 / 196 ] simplifiying candidate # 91.122 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 91.122 * * [simplify]: iters left: 6 (15 enodes) 91.132 * * [simplify]: iters left: 5 (63 enodes) 91.152 * * [simplify]: iters left: 4 (100 enodes) 91.179 * * [simplify]: iters left: 3 (174 enodes) 91.223 * * [simplify]: iters left: 2 (354 enodes) 91.373 * * [simplify]: Extracting #0: cost 1 inf + 0 91.373 * * [simplify]: Extracting #1: cost 44 inf + 0 91.373 * * [simplify]: Extracting #2: cost 144 inf + 1 91.374 * * [simplify]: Extracting #3: cost 193 inf + 3 91.375 * * [simplify]: Extracting #4: cost 163 inf + 6647 91.381 * * [simplify]: Extracting #5: cost 76 inf + 46666 91.399 * * [simplify]: Extracting #6: cost 7 inf + 91201 91.430 * * [simplify]: Extracting #7: cost 0 inf + 95267 91.460 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 91.460 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 91.460 * * * * [progress]: [ 164 / 196 ] simplifiying candidate # 91.461 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 91.461 * * [simplify]: iters left: 6 (14 enodes) 91.470 * * [simplify]: iters left: 5 (60 enodes) 91.494 * * [simplify]: iters left: 4 (101 enodes) 91.529 * * [simplify]: iters left: 3 (170 enodes) 91.594 * * [simplify]: iters left: 2 (328 enodes) 91.719 * * [simplify]: Extracting #0: cost 1 inf + 0 91.720 * * [simplify]: Extracting #1: cost 50 inf + 0 91.720 * * [simplify]: Extracting #2: cost 138 inf + 1 91.722 * * [simplify]: Extracting #3: cost 180 inf + 168 91.724 * * [simplify]: Extracting #4: cost 158 inf + 4821 91.738 * * [simplify]: Extracting #5: cost 62 inf + 43441 91.768 * * [simplify]: Extracting #6: cost 0 inf + 80359 91.798 * * [simplify]: Extracting #7: cost 0 inf + 79919 91.827 * * [simplify]: Extracting #8: cost 0 inf + 79759 91.857 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 91.857 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 91.857 * * * * [progress]: [ 165 / 196 ] simplifiying candidate # 91.857 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 91.858 * * [simplify]: iters left: 6 (15 enodes) 91.870 * * [simplify]: iters left: 5 (63 enodes) 91.881 * * [simplify]: iters left: 4 (100 enodes) 91.900 * * [simplify]: iters left: 3 (174 enodes) 91.952 * * [simplify]: iters left: 2 (354 enodes) 92.074 * * [simplify]: Extracting #0: cost 1 inf + 0 92.074 * * [simplify]: Extracting #1: cost 44 inf + 0 92.075 * * [simplify]: Extracting #2: cost 144 inf + 1 92.077 * * [simplify]: Extracting #3: cost 193 inf + 3 92.079 * * [simplify]: Extracting #4: cost 163 inf + 6647 92.091 * * [simplify]: Extracting #5: cost 76 inf + 46666 92.118 * * [simplify]: Extracting #6: cost 7 inf + 91201 92.148 * * [simplify]: Extracting #7: cost 0 inf + 95267 92.181 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 92.182 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 92.182 * * * * [progress]: [ 166 / 196 ] simplifiying candidate # 92.182 * [simplify]: Simplifying (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 92.182 * * [simplify]: iters left: 6 (14 enodes) 92.191 * * [simplify]: iters left: 5 (60 enodes) 92.210 * * [simplify]: iters left: 4 (101 enodes) 92.244 * * [simplify]: iters left: 3 (170 enodes) 92.304 * * [simplify]: iters left: 2 (328 enodes) 92.413 * * [simplify]: Extracting #0: cost 1 inf + 0 92.413 * * [simplify]: Extracting #1: cost 50 inf + 0 92.414 * * [simplify]: Extracting #2: cost 138 inf + 1 92.415 * * [simplify]: Extracting #3: cost 180 inf + 168 92.417 * * [simplify]: Extracting #4: cost 158 inf + 4821 92.427 * * [simplify]: Extracting #5: cost 62 inf + 43441 92.442 * * [simplify]: Extracting #6: cost 0 inf + 80359 92.458 * * [simplify]: Extracting #7: cost 0 inf + 79919 92.473 * * [simplify]: Extracting #8: cost 0 inf + 79759 92.491 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 92.491 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 92.491 * * * * [progress]: [ 167 / 196 ] simplifiying candidate # 92.491 * [simplify]: Simplifying (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 92.491 * * [simplify]: iters left: 6 (15 enodes) 92.496 * * [simplify]: iters left: 5 (63 enodes) 92.506 * * [simplify]: iters left: 4 (100 enodes) 92.528 * * [simplify]: iters left: 3 (174 enodes) 92.603 * * [simplify]: iters left: 2 (354 enodes) 92.785 * * [simplify]: Extracting #0: cost 1 inf + 0 92.785 * * [simplify]: Extracting #1: cost 44 inf + 0 92.786 * * [simplify]: Extracting #2: cost 144 inf + 1 92.788 * * [simplify]: Extracting #3: cost 193 inf + 3 92.790 * * [simplify]: Extracting #4: cost 163 inf + 6887 92.802 * * [simplify]: Extracting #5: cost 76 inf + 48226 92.827 * * [simplify]: Extracting #6: cost 7 inf + 94241 92.845 * * [simplify]: Extracting #7: cost 0 inf + 98427 92.861 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 92.861 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 92.861 * * * * [progress]: [ 168 / 196 ] simplifiying candidate # 92.861 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 92.862 * * [simplify]: iters left: 6 (15 enodes) 92.867 * * [simplify]: iters left: 5 (63 enodes) 92.878 * * [simplify]: iters left: 4 (100 enodes) 92.901 * * [simplify]: iters left: 3 (174 enodes) 92.958 * * [simplify]: iters left: 2 (354 enodes) 93.071 * * [simplify]: Extracting #0: cost 1 inf + 0 93.071 * * [simplify]: Extracting #1: cost 44 inf + 0 93.072 * * [simplify]: Extracting #2: cost 144 inf + 1 93.072 * * [simplify]: Extracting #3: cost 193 inf + 3 93.074 * * [simplify]: Extracting #4: cost 163 inf + 6967 93.080 * * [simplify]: Extracting #5: cost 76 inf + 48306 93.093 * * [simplify]: Extracting #6: cost 7 inf + 94321 93.118 * * [simplify]: Extracting #7: cost 0 inf + 98507 93.134 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 93.134 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 93.134 * * * * [progress]: [ 169 / 196 ] simplifiying candidate # 93.134 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 93.134 * * [simplify]: iters left: 6 (15 enodes) 93.139 * * [simplify]: iters left: 5 (63 enodes) 93.156 * * [simplify]: iters left: 4 (100 enodes) 93.174 * * [simplify]: iters left: 3 (174 enodes) 93.215 * * [simplify]: iters left: 2 (354 enodes) 93.395 * * [simplify]: Extracting #0: cost 1 inf + 0 93.395 * * [simplify]: Extracting #1: cost 44 inf + 0 93.396 * * [simplify]: Extracting #2: cost 144 inf + 1 93.397 * * [simplify]: Extracting #3: cost 193 inf + 3 93.400 * * [simplify]: Extracting #4: cost 163 inf + 6647 93.407 * * [simplify]: Extracting #5: cost 76 inf + 46666 93.424 * * [simplify]: Extracting #6: cost 7 inf + 91201 93.440 * * [simplify]: Extracting #7: cost 0 inf + 95267 93.458 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 93.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 93.459 * * * * [progress]: [ 170 / 196 ] simplifiying candidate # 93.459 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 93.459 * * [simplify]: iters left: 6 (14 enodes) 93.468 * * [simplify]: iters left: 5 (60 enodes) 93.488 * * [simplify]: iters left: 4 (101 enodes) 93.521 * * [simplify]: iters left: 3 (170 enodes) 93.570 * * [simplify]: iters left: 2 (328 enodes) 93.675 * * [simplify]: Extracting #0: cost 1 inf + 0 93.676 * * [simplify]: Extracting #1: cost 50 inf + 0 93.676 * * [simplify]: Extracting #2: cost 138 inf + 1 93.677 * * [simplify]: Extracting #3: cost 180 inf + 168 93.678 * * [simplify]: Extracting #4: cost 158 inf + 4821 93.685 * * [simplify]: Extracting #5: cost 62 inf + 43441 93.711 * * [simplify]: Extracting #6: cost 0 inf + 80359 93.738 * * [simplify]: Extracting #7: cost 0 inf + 79919 93.752 * * [simplify]: Extracting #8: cost 0 inf + 79759 93.768 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 93.768 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 93.768 * * * * [progress]: [ 171 / 196 ] simplifiying candidate # 93.768 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 93.768 * * [simplify]: iters left: 6 (15 enodes) 93.774 * * [simplify]: iters left: 5 (63 enodes) 93.795 * * [simplify]: iters left: 4 (100 enodes) 93.817 * * [simplify]: iters left: 3 (174 enodes) 93.870 * * [simplify]: iters left: 2 (354 enodes) 94.052 * * [simplify]: Extracting #0: cost 1 inf + 0 94.052 * * [simplify]: Extracting #1: cost 44 inf + 0 94.053 * * [simplify]: Extracting #2: cost 144 inf + 1 94.054 * * [simplify]: Extracting #3: cost 193 inf + 3 94.062 * * [simplify]: Extracting #4: cost 163 inf + 6647 94.073 * * [simplify]: Extracting #5: cost 76 inf + 46666 94.095 * * [simplify]: Extracting #6: cost 7 inf + 91201 94.110 * * [simplify]: Extracting #7: cost 0 inf + 95267 94.132 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 94.132 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 94.132 * * * * [progress]: [ 172 / 196 ] simplifiying candidate # 94.133 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 94.133 * * [simplify]: iters left: 6 (14 enodes) 94.141 * * [simplify]: iters left: 5 (60 enodes) 94.163 * * [simplify]: iters left: 4 (101 enodes) 94.199 * * [simplify]: iters left: 3 (170 enodes) 94.245 * * [simplify]: iters left: 2 (328 enodes) 94.405 * * [simplify]: Extracting #0: cost 1 inf + 0 94.406 * * [simplify]: Extracting #1: cost 50 inf + 0 94.406 * * [simplify]: Extracting #2: cost 138 inf + 1 94.408 * * [simplify]: Extracting #3: cost 180 inf + 168 94.410 * * [simplify]: Extracting #4: cost 158 inf + 4821 94.429 * * [simplify]: Extracting #5: cost 62 inf + 43441 94.459 * * [simplify]: Extracting #6: cost 0 inf + 80359 94.489 * * [simplify]: Extracting #7: cost 0 inf + 79919 94.520 * * [simplify]: Extracting #8: cost 0 inf + 79759 94.550 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 94.550 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) 1) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 94.550 * * * * [progress]: [ 173 / 196 ] simplifiying candidate # 94.550 * [simplify]: Simplifying (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 94.551 * * [simplify]: iters left: 6 (14 enodes) 94.559 * * [simplify]: iters left: 5 (60 enodes) 94.571 * * [simplify]: iters left: 4 (103 enodes) 94.591 * * [simplify]: iters left: 3 (176 enodes) 94.646 * * [simplify]: iters left: 2 (337 enodes) 94.806 * * [simplify]: Extracting #0: cost 1 inf + 0 94.806 * * [simplify]: Extracting #1: cost 44 inf + 0 94.807 * * [simplify]: Extracting #2: cost 139 inf + 1 94.808 * * [simplify]: Extracting #3: cost 188 inf + 3 94.811 * * [simplify]: Extracting #4: cost 172 inf + 3232 94.816 * * [simplify]: Extracting #5: cost 107 inf + 19511 94.837 * * [simplify]: Extracting #6: cost 10 inf + 88222 94.864 * * [simplify]: Extracting #7: cost 0 inf + 95266 94.891 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 94.891 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 94.891 * * * * [progress]: [ 174 / 196 ] simplifiying candidate # 94.892 * [simplify]: Simplifying (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 94.892 * * [simplify]: iters left: 6 (14 enodes) 94.900 * * [simplify]: iters left: 5 (60 enodes) 94.925 * * [simplify]: iters left: 4 (103 enodes) 94.961 * * [simplify]: iters left: 3 (176 enodes) 95.032 * * [simplify]: iters left: 2 (337 enodes) 95.153 * * [simplify]: Extracting #0: cost 1 inf + 0 95.153 * * [simplify]: Extracting #1: cost 44 inf + 0 95.154 * * [simplify]: Extracting #2: cost 139 inf + 1 95.154 * * [simplify]: Extracting #3: cost 188 inf + 3 95.155 * * [simplify]: Extracting #4: cost 172 inf + 3272 95.158 * * [simplify]: Extracting #5: cost 107 inf + 19591 95.172 * * [simplify]: Extracting #6: cost 10 inf + 88302 95.199 * * [simplify]: Extracting #7: cost 0 inf + 95346 95.226 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 95.227 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 95.227 * * * * [progress]: [ 175 / 196 ] simplifiying candidate # 95.227 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 95.227 * * [simplify]: iters left: 6 (14 enodes) 95.239 * * [simplify]: iters left: 5 (60 enodes) 95.259 * * [simplify]: iters left: 4 (103 enodes) 95.294 * * [simplify]: iters left: 3 (176 enodes) 95.355 * * [simplify]: iters left: 2 (337 enodes) 95.476 * * [simplify]: Extracting #0: cost 1 inf + 0 95.476 * * [simplify]: Extracting #1: cost 44 inf + 0 95.476 * * [simplify]: Extracting #2: cost 139 inf + 1 95.477 * * [simplify]: Extracting #3: cost 188 inf + 3 95.478 * * [simplify]: Extracting #4: cost 172 inf + 3032 95.481 * * [simplify]: Extracting #5: cost 107 inf + 18951 95.492 * * [simplify]: Extracting #6: cost 10 inf + 85422 95.505 * * [simplify]: Extracting #7: cost 0 inf + 92226 95.522 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 95.522 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 95.522 * * * * [progress]: [ 176 / 196 ] simplifiying candidate # 95.522 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 95.522 * * [simplify]: iters left: 6 (13 enodes) 95.526 * * [simplify]: iters left: 5 (57 enodes) 95.535 * * [simplify]: iters left: 4 (96 enodes) 95.559 * * [simplify]: iters left: 3 (174 enodes) 95.618 * * [simplify]: iters left: 2 (354 enodes) 95.760 * * [simplify]: Extracting #0: cost 1 inf + 0 95.760 * * [simplify]: Extracting #1: cost 44 inf + 0 95.761 * * [simplify]: Extracting #2: cost 135 inf + 1 95.761 * * [simplify]: Extracting #3: cost 177 inf + 127 95.762 * * [simplify]: Extracting #4: cost 179 inf + 468 95.764 * * [simplify]: Extracting #5: cost 133 inf + 9682 95.771 * * [simplify]: Extracting #6: cost 56 inf + 43879 95.788 * * [simplify]: Extracting #7: cost 2 inf + 85360 95.802 * * [simplify]: Extracting #8: cost 0 inf + 87304 95.816 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 95.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 95.816 * * * * [progress]: [ 177 / 196 ] simplifiying candidate # 95.816 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 95.816 * * [simplify]: iters left: 6 (14 enodes) 95.820 * * [simplify]: iters left: 5 (60 enodes) 95.840 * * [simplify]: iters left: 4 (103 enodes) 95.874 * * [simplify]: iters left: 3 (176 enodes) 95.948 * * [simplify]: iters left: 2 (337 enodes) 96.098 * * [simplify]: Extracting #0: cost 1 inf + 0 96.098 * * [simplify]: Extracting #1: cost 44 inf + 0 96.099 * * [simplify]: Extracting #2: cost 139 inf + 1 96.100 * * [simplify]: Extracting #3: cost 188 inf + 3 96.102 * * [simplify]: Extracting #4: cost 172 inf + 3032 96.109 * * [simplify]: Extracting #5: cost 107 inf + 18951 96.130 * * [simplify]: Extracting #6: cost 10 inf + 85422 96.157 * * [simplify]: Extracting #7: cost 0 inf + 92226 96.184 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 96.184 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 96.184 * * * * [progress]: [ 178 / 196 ] simplifiying candidate # 96.185 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 96.185 * * [simplify]: iters left: 6 (13 enodes) 96.191 * * [simplify]: iters left: 5 (57 enodes) 96.201 * * [simplify]: iters left: 4 (96 enodes) 96.226 * * [simplify]: iters left: 3 (174 enodes) 96.301 * * [simplify]: iters left: 2 (354 enodes) 96.474 * * [simplify]: Extracting #0: cost 1 inf + 0 96.474 * * [simplify]: Extracting #1: cost 44 inf + 0 96.475 * * [simplify]: Extracting #2: cost 135 inf + 1 96.476 * * [simplify]: Extracting #3: cost 177 inf + 127 96.478 * * [simplify]: Extracting #4: cost 179 inf + 468 96.481 * * [simplify]: Extracting #5: cost 133 inf + 9682 96.495 * * [simplify]: Extracting #6: cost 56 inf + 43879 96.521 * * [simplify]: Extracting #7: cost 2 inf + 85360 96.549 * * [simplify]: Extracting #8: cost 0 inf + 87304 96.574 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 96.574 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 96.574 * * * * [progress]: [ 179 / 196 ] simplifiying candidate # 96.574 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 96.574 * * [simplify]: iters left: 6 (13 enodes) 96.578 * * [simplify]: iters left: 5 (57 enodes) 96.591 * * [simplify]: iters left: 4 (96 enodes) 96.614 * * [simplify]: iters left: 3 (174 enodes) 96.665 * * [simplify]: iters left: 2 (354 enodes) 96.818 * * [simplify]: Extracting #0: cost 1 inf + 0 96.819 * * [simplify]: Extracting #1: cost 44 inf + 0 96.819 * * [simplify]: Extracting #2: cost 135 inf + 1 96.820 * * [simplify]: Extracting #3: cost 177 inf + 127 96.820 * * [simplify]: Extracting #4: cost 179 inf + 468 96.822 * * [simplify]: Extracting #5: cost 133 inf + 9682 96.829 * * [simplify]: Extracting #6: cost 56 inf + 43879 96.853 * * [simplify]: Extracting #7: cost 2 inf + 85360 96.885 * * [simplify]: Extracting #8: cost 0 inf + 87304 96.910 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 96.910 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 96.910 * * * * [progress]: [ 180 / 196 ] simplifiying candidate # 96.910 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 96.910 * * [simplify]: iters left: 6 (13 enodes) 96.914 * * [simplify]: iters left: 5 (57 enodes) 96.924 * * [simplify]: iters left: 4 (96 enodes) 96.945 * * [simplify]: iters left: 3 (174 enodes) 96.999 * * [simplify]: iters left: 2 (354 enodes) 97.122 * * [simplify]: Extracting #0: cost 1 inf + 0 97.122 * * [simplify]: Extracting #1: cost 44 inf + 0 97.122 * * [simplify]: Extracting #2: cost 135 inf + 1 97.123 * * [simplify]: Extracting #3: cost 177 inf + 127 97.124 * * [simplify]: Extracting #4: cost 179 inf + 468 97.126 * * [simplify]: Extracting #5: cost 133 inf + 9682 97.142 * * [simplify]: Extracting #6: cost 56 inf + 43879 97.166 * * [simplify]: Extracting #7: cost 2 inf + 85360 97.180 * * [simplify]: Extracting #8: cost 0 inf + 87304 97.197 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 97.197 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 97.197 * * * * [progress]: [ 181 / 196 ] simplifiying candidate # 97.198 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) 97.198 * * [simplify]: iters left: 6 (12 enodes) 97.205 * * [simplify]: iters left: 5 (49 enodes) 97.224 * * [simplify]: iters left: 4 (85 enodes) 97.253 * * [simplify]: iters left: 3 (161 enodes) 97.306 * * [simplify]: iters left: 2 (320 enodes) 97.458 * * [simplify]: Extracting #0: cost 1 inf + 0 97.458 * * [simplify]: Extracting #1: cost 32 inf + 0 97.459 * * [simplify]: Extracting #2: cost 104 inf + 1 97.460 * * [simplify]: Extracting #3: cost 101 inf + 255 97.461 * * [simplify]: Extracting #4: cost 97 inf + 385 97.465 * * [simplify]: Extracting #5: cost 57 inf + 17045 97.477 * * [simplify]: Extracting #6: cost 3 inf + 51073 97.492 * * [simplify]: Extracting #7: cost 0 inf + 53093 97.506 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 97.506 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n (* 2 PI))) (sqrt k)) (pow (* (* 2 PI) n) (/ k 2)))) 97.506 * * * * [progress]: [ 182 / 196 ] simplifiying candidate # 97.506 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 97.507 * * [simplify]: iters left: 6 (11 enodes) 97.514 * * [simplify]: iters left: 5 (47 enodes) 97.525 * * [simplify]: iters left: 4 (82 enodes) 97.540 * * [simplify]: iters left: 3 (130 enodes) 97.591 * * [simplify]: iters left: 2 (241 enodes) 97.664 * * [simplify]: iters left: 1 (464 enodes) 97.924 * * [simplify]: Extracting #0: cost 1 inf + 0 97.924 * * [simplify]: Extracting #1: cost 26 inf + 0 97.925 * * [simplify]: Extracting #2: cost 123 inf + 2 97.925 * * [simplify]: Extracting #3: cost 175 inf + 176 97.926 * * [simplify]: Extracting #4: cost 156 inf + 2413 97.929 * * [simplify]: Extracting #5: cost 81 inf + 16272 97.939 * * [simplify]: Extracting #6: cost 14 inf + 59002 97.952 * * [simplify]: Extracting #7: cost 0 inf + 70237 97.977 * * [simplify]: Extracting #8: cost 0 inf + 69297 97.990 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 97.990 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 97.991 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 97.991 * [simplify]: Simplifying (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 97.991 * * [simplify]: iters left: 6 (14 enodes) 97.995 * * [simplify]: iters left: 5 (57 enodes) 98.008 * * [simplify]: iters left: 4 (100 enodes) 98.026 * * [simplify]: iters left: 3 (173 enodes) 98.095 * * [simplify]: iters left: 2 (337 enodes) 98.237 * * [simplify]: Extracting #0: cost 1 inf + 0 98.237 * * [simplify]: Extracting #1: cost 2 inf + 0 98.237 * * [simplify]: Extracting #2: cost 45 inf + 0 98.238 * * [simplify]: Extracting #3: cost 139 inf + 1 98.238 * * [simplify]: Extracting #4: cost 181 inf + 127 98.239 * * [simplify]: Extracting #5: cost 167 inf + 4325 98.245 * * [simplify]: Extracting #6: cost 79 inf + 38449 98.259 * * [simplify]: Extracting #7: cost 6 inf + 86744 98.275 * * [simplify]: Extracting #8: cost 0 inf + 88301 98.289 * * [simplify]: Extracting #9: cost 0 inf + 87810 98.309 * [simplify]: Simplified to (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 98.309 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 98.309 * * * * [progress]: [ 184 / 196 ] simplifiying candidate # 98.309 * * * * [progress]: [ 185 / 196 ] simplifiying candidate # 98.310 * [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))))) 98.310 * * [simplify]: iters left: 6 (37 enodes) 98.331 * * [simplify]: iters left: 5 (190 enodes) 98.405 * * [simplify]: Extracting #0: cost 1 inf + 0 98.405 * * [simplify]: Extracting #1: cost 22 inf + 0 98.405 * * [simplify]: Extracting #2: cost 108 inf + 1 98.406 * * [simplify]: Extracting #3: cost 171 inf + 46 98.406 * * [simplify]: Extracting #4: cost 189 inf + 427 98.409 * * [simplify]: Extracting #5: cost 128 inf + 16032 98.420 * * [simplify]: Extracting #6: cost 29 inf + 57153 98.441 * * [simplify]: Extracting #7: cost 4 inf + 75884 98.473 * * [simplify]: Extracting #8: cost 0 inf + 78767 98.504 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 98.504 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))))) 98.504 * * * * [progress]: [ 186 / 196 ] simplifiying candidate # 98.505 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 98.505 * * [simplify]: iters left: 6 (15 enodes) 98.515 * * [simplify]: iters left: 5 (65 enodes) 98.537 * * [simplify]: iters left: 4 (123 enodes) 98.593 * * [simplify]: iters left: 3 (368 enodes) 98.752 * * [simplify]: Extracting #0: cost 1 inf + 0 98.752 * * [simplify]: Extracting #1: cost 37 inf + 0 98.753 * * [simplify]: Extracting #2: cost 216 inf + 72 98.756 * * [simplify]: Extracting #3: cost 359 inf + 1294 98.764 * * [simplify]: Extracting #4: cost 227 inf + 27604 98.790 * * [simplify]: Extracting #5: cost 34 inf + 80469 98.820 * * [simplify]: Extracting #6: cost 0 inf + 90323 98.849 * * [simplify]: Extracting #7: cost 0 inf + 90139 98.874 * * [simplify]: Extracting #8: cost 0 inf + 90138 98.891 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 98.891 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 98.891 * * * * [progress]: [ 187 / 196 ] simplifiying candidate # 98.892 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 98.892 * * [simplify]: iters left: 6 (16 enodes) 98.898 * * [simplify]: iters left: 5 (67 enodes) 98.916 * * [simplify]: iters left: 4 (134 enodes) 98.956 * * [simplify]: iters left: 3 (413 enodes) 99.175 * * [simplify]: Extracting #0: cost 1 inf + 0 99.175 * * [simplify]: Extracting #1: cost 39 inf + 0 99.176 * * [simplify]: Extracting #2: cost 241 inf + 72 99.180 * * [simplify]: Extracting #3: cost 450 inf + 903 99.185 * * [simplify]: Extracting #4: cost 376 inf + 10375 99.206 * * [simplify]: Extracting #5: cost 157 inf + 67388 99.251 * * [simplify]: Extracting #6: cost 12 inf + 118840 99.291 * * [simplify]: Extracting #7: cost 0 inf + 121984 99.313 * * [simplify]: Extracting #8: cost 0 inf + 121983 99.336 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 99.336 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 99.336 * * * * [progress]: [ 188 / 196 ] simplifiying candidate # 99.336 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 99.336 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 99.336 * * * * [progress]: [ 189 / 196 ] simplifiying candidate # 99.336 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 99.336 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 99.336 * * * * [progress]: [ 190 / 196 ] simplifiying candidate # 99.337 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 99.337 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 99.337 * * * * [progress]: [ 191 / 196 ] simplifiying candidate # 99.338 * [simplify]: Simplifying (* 2 (* n PI)) 99.338 * * [simplify]: iters left: 4 (5 enodes) 99.340 * * [simplify]: iters left: 3 (19 enodes) 99.343 * * [simplify]: iters left: 2 (27 enodes) 99.347 * * [simplify]: iters left: 1 (32 enodes) 99.355 * * [simplify]: Extracting #0: cost 1 inf + 0 99.355 * * [simplify]: Extracting #1: cost 8 inf + 0 99.355 * * [simplify]: Extracting #2: cost 7 inf + 45 99.356 * * [simplify]: Extracting #3: cost 0 inf + 421 99.356 * [simplify]: Simplified to (* (* PI n) 2) 99.356 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 99.356 * * * * [progress]: [ 192 / 196 ] simplifiying candidate # 99.356 * [simplify]: Simplifying (* 2 (* n PI)) 99.357 * * [simplify]: iters left: 4 (5 enodes) 99.360 * * [simplify]: iters left: 3 (19 enodes) 99.366 * * [simplify]: iters left: 2 (27 enodes) 99.374 * * [simplify]: iters left: 1 (32 enodes) 99.382 * * [simplify]: Extracting #0: cost 1 inf + 0 99.382 * * [simplify]: Extracting #1: cost 8 inf + 0 99.382 * * [simplify]: Extracting #2: cost 7 inf + 45 99.382 * * [simplify]: Extracting #3: cost 0 inf + 421 99.383 * [simplify]: Simplified to (* (* PI n) 2) 99.383 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 99.383 * * * * [progress]: [ 193 / 196 ] simplifiying candidate # 99.383 * [simplify]: Simplifying (* 2 (* n PI)) 99.383 * * [simplify]: iters left: 4 (5 enodes) 99.386 * * [simplify]: iters left: 3 (19 enodes) 99.392 * * [simplify]: iters left: 2 (27 enodes) 99.400 * * [simplify]: iters left: 1 (32 enodes) 99.408 * * [simplify]: Extracting #0: cost 1 inf + 0 99.409 * * [simplify]: Extracting #1: cost 8 inf + 0 99.409 * * [simplify]: Extracting #2: cost 7 inf + 45 99.409 * * [simplify]: Extracting #3: cost 0 inf + 421 99.409 * [simplify]: Simplified to (* (* PI n) 2) 99.409 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 99.409 * * * * [progress]: [ 194 / 196 ] simplifiying candidate # 99.410 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 99.410 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 99.410 * * * * [progress]: [ 195 / 196 ] simplifiying candidate # 99.410 * [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)))))))) 99.410 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 99.411 * * * * [progress]: [ 196 / 196 ] simplifiying candidate # 99.411 * [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)))))))))))) 99.411 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 99.412 * * * [progress]: adding candidates to table 101.484 * * [progress]: iteration 3 / 4 101.484 * * * [progress]: picking best candidate 101.504 * * * * [pick]: Picked # 101.504 * * * [progress]: localizing error 101.554 * * * [progress]: generating rewritten candidates 101.554 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 101.568 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 101.590 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 101.612 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 101.649 * * * [progress]: generating series expansions 101.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 101.650 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 101.650 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 101.650 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 101.650 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 101.650 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 101.650 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.650 * [taylor]: Taking taylor expansion of 1/2 in k 101.650 * [backup-simplify]: Simplify 1/2 into 1/2 101.650 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.650 * [taylor]: Taking taylor expansion of 1 in k 101.650 * [backup-simplify]: Simplify 1 into 1 101.650 * [taylor]: Taking taylor expansion of k in k 101.650 * [backup-simplify]: Simplify 0 into 0 101.650 * [backup-simplify]: Simplify 1 into 1 101.650 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 101.650 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 101.650 * [taylor]: Taking taylor expansion of 2 in k 101.650 * [backup-simplify]: Simplify 2 into 2 101.651 * [taylor]: Taking taylor expansion of (* n PI) in k 101.651 * [taylor]: Taking taylor expansion of n in k 101.651 * [backup-simplify]: Simplify n into n 101.651 * [taylor]: Taking taylor expansion of PI in k 101.651 * [backup-simplify]: Simplify PI into PI 101.651 * [backup-simplify]: Simplify (* n PI) into (* n PI) 101.651 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 101.651 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 101.651 * [backup-simplify]: Simplify (- 0) into 0 101.651 * [backup-simplify]: Simplify (+ 1 0) into 1 101.651 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.652 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 101.652 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 101.652 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 101.652 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 101.652 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 101.652 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.652 * [taylor]: Taking taylor expansion of 1/2 in n 101.652 * [backup-simplify]: Simplify 1/2 into 1/2 101.652 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.652 * [taylor]: Taking taylor expansion of 1 in n 101.652 * [backup-simplify]: Simplify 1 into 1 101.652 * [taylor]: Taking taylor expansion of k in n 101.652 * [backup-simplify]: Simplify k into k 101.652 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 101.652 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 101.652 * [taylor]: Taking taylor expansion of 2 in n 101.652 * [backup-simplify]: Simplify 2 into 2 101.652 * [taylor]: Taking taylor expansion of (* n PI) in n 101.652 * [taylor]: Taking taylor expansion of n in n 101.652 * [backup-simplify]: Simplify 0 into 0 101.652 * [backup-simplify]: Simplify 1 into 1 101.652 * [taylor]: Taking taylor expansion of PI in n 101.652 * [backup-simplify]: Simplify PI into PI 101.652 * [backup-simplify]: Simplify (* 0 PI) into 0 101.652 * [backup-simplify]: Simplify (* 2 0) into 0 101.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 101.654 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 101.655 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.655 * [backup-simplify]: Simplify (- k) into (- k) 101.655 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.655 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.656 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 101.657 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 101.657 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 101.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 101.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 101.657 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.657 * [taylor]: Taking taylor expansion of 1/2 in n 101.657 * [backup-simplify]: Simplify 1/2 into 1/2 101.657 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.657 * [taylor]: Taking taylor expansion of 1 in n 101.657 * [backup-simplify]: Simplify 1 into 1 101.657 * [taylor]: Taking taylor expansion of k in n 101.657 * [backup-simplify]: Simplify k into k 101.657 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 101.657 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 101.658 * [taylor]: Taking taylor expansion of 2 in n 101.658 * [backup-simplify]: Simplify 2 into 2 101.658 * [taylor]: Taking taylor expansion of (* n PI) in n 101.658 * [taylor]: Taking taylor expansion of n in n 101.658 * [backup-simplify]: Simplify 0 into 0 101.658 * [backup-simplify]: Simplify 1 into 1 101.658 * [taylor]: Taking taylor expansion of PI in n 101.658 * [backup-simplify]: Simplify PI into PI 101.658 * [backup-simplify]: Simplify (* 0 PI) into 0 101.658 * [backup-simplify]: Simplify (* 2 0) into 0 101.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 101.660 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 101.661 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.661 * [backup-simplify]: Simplify (- k) into (- k) 101.661 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.661 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.662 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.662 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 101.663 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 101.664 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 101.664 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 101.664 * [taylor]: Taking taylor expansion of 1/2 in k 101.664 * [backup-simplify]: Simplify 1/2 into 1/2 101.664 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 101.664 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.664 * [taylor]: Taking taylor expansion of 1 in k 101.664 * [backup-simplify]: Simplify 1 into 1 101.664 * [taylor]: Taking taylor expansion of k in k 101.664 * [backup-simplify]: Simplify 0 into 0 101.664 * [backup-simplify]: Simplify 1 into 1 101.664 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 101.664 * [taylor]: Taking taylor expansion of (log n) in k 101.664 * [taylor]: Taking taylor expansion of n in k 101.664 * [backup-simplify]: Simplify n into n 101.664 * [backup-simplify]: Simplify (log n) into (log n) 101.664 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 101.664 * [taylor]: Taking taylor expansion of (* 2 PI) in k 101.664 * [taylor]: Taking taylor expansion of 2 in k 101.664 * [backup-simplify]: Simplify 2 into 2 101.664 * [taylor]: Taking taylor expansion of PI in k 101.664 * [backup-simplify]: Simplify PI into PI 101.665 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.666 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.666 * [backup-simplify]: Simplify (- 0) into 0 101.666 * [backup-simplify]: Simplify (+ 1 0) into 1 101.667 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.668 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 101.669 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 101.671 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 101.672 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 101.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 101.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 101.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 101.676 * [backup-simplify]: Simplify (- 0) into 0 101.676 * [backup-simplify]: Simplify (+ 0 0) into 0 101.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 101.678 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.679 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 101.681 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 101.681 * [taylor]: Taking taylor expansion of 0 in k 101.681 * [backup-simplify]: Simplify 0 into 0 101.681 * [backup-simplify]: Simplify 0 into 0 101.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 101.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 101.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 101.685 * [backup-simplify]: Simplify (+ 0 0) into 0 101.685 * [backup-simplify]: Simplify (- 1) into -1 101.685 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.687 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 101.689 * [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))))) 101.692 * [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))))))) 101.695 * [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))))))) 101.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 101.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 101.700 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 101.701 * [backup-simplify]: Simplify (- 0) into 0 101.701 * [backup-simplify]: Simplify (+ 0 0) into 0 101.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 101.703 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.704 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 101.707 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.707 * [taylor]: Taking taylor expansion of 0 in k 101.707 * [backup-simplify]: Simplify 0 into 0 101.707 * [backup-simplify]: Simplify 0 into 0 101.707 * [backup-simplify]: Simplify 0 into 0 101.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 101.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 101.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 101.713 * [backup-simplify]: Simplify (+ 0 0) into 0 101.714 * [backup-simplify]: Simplify (- 0) into 0 101.714 * [backup-simplify]: Simplify (+ 0 0) into 0 101.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 101.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 101.722 * [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))))) 101.737 * [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))))) 101.747 * [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))))) 101.747 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 101.747 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 101.747 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 101.747 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 101.748 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 101.748 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 101.748 * [taylor]: Taking taylor expansion of 1/2 in k 101.748 * [backup-simplify]: Simplify 1/2 into 1/2 101.748 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.748 * [taylor]: Taking taylor expansion of 1 in k 101.748 * [backup-simplify]: Simplify 1 into 1 101.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.748 * [taylor]: Taking taylor expansion of k in k 101.748 * [backup-simplify]: Simplify 0 into 0 101.748 * [backup-simplify]: Simplify 1 into 1 101.749 * [backup-simplify]: Simplify (/ 1 1) into 1 101.749 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 101.749 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 101.749 * [taylor]: Taking taylor expansion of 2 in k 101.749 * [backup-simplify]: Simplify 2 into 2 101.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 101.749 * [taylor]: Taking taylor expansion of PI in k 101.749 * [backup-simplify]: Simplify PI into PI 101.749 * [taylor]: Taking taylor expansion of n in k 101.749 * [backup-simplify]: Simplify n into n 101.749 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 101.749 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 101.749 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 101.750 * [backup-simplify]: Simplify (- 1) into -1 101.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.750 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 101.751 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 101.751 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 101.751 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 101.751 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 101.751 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 101.751 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 101.751 * [taylor]: Taking taylor expansion of 1/2 in n 101.751 * [backup-simplify]: Simplify 1/2 into 1/2 101.751 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 101.751 * [taylor]: Taking taylor expansion of 1 in n 101.751 * [backup-simplify]: Simplify 1 into 1 101.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.751 * [taylor]: Taking taylor expansion of k in n 101.751 * [backup-simplify]: Simplify k into k 101.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.751 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 101.751 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 101.751 * [taylor]: Taking taylor expansion of 2 in n 101.751 * [backup-simplify]: Simplify 2 into 2 101.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.751 * [taylor]: Taking taylor expansion of PI in n 101.751 * [backup-simplify]: Simplify PI into PI 101.751 * [taylor]: Taking taylor expansion of n in n 101.751 * [backup-simplify]: Simplify 0 into 0 101.751 * [backup-simplify]: Simplify 1 into 1 101.752 * [backup-simplify]: Simplify (/ PI 1) into PI 101.752 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.753 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.753 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 101.753 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 101.753 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 101.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 101.756 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 101.757 * [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))))) 101.757 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 101.757 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 101.757 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 101.757 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 101.757 * [taylor]: Taking taylor expansion of 1/2 in n 101.757 * [backup-simplify]: Simplify 1/2 into 1/2 101.757 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 101.757 * [taylor]: Taking taylor expansion of 1 in n 101.757 * [backup-simplify]: Simplify 1 into 1 101.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.757 * [taylor]: Taking taylor expansion of k in n 101.757 * [backup-simplify]: Simplify k into k 101.757 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.757 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 101.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 101.757 * [taylor]: Taking taylor expansion of 2 in n 101.757 * [backup-simplify]: Simplify 2 into 2 101.757 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.757 * [taylor]: Taking taylor expansion of PI in n 101.757 * [backup-simplify]: Simplify PI into PI 101.757 * [taylor]: Taking taylor expansion of n in n 101.757 * [backup-simplify]: Simplify 0 into 0 101.757 * [backup-simplify]: Simplify 1 into 1 101.758 * [backup-simplify]: Simplify (/ PI 1) into PI 101.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.759 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.759 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 101.760 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 101.760 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 101.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 101.762 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 101.763 * [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))))) 101.763 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 101.763 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 101.763 * [taylor]: Taking taylor expansion of 1/2 in k 101.763 * [backup-simplify]: Simplify 1/2 into 1/2 101.763 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 101.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.763 * [taylor]: Taking taylor expansion of 1 in k 101.763 * [backup-simplify]: Simplify 1 into 1 101.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.763 * [taylor]: Taking taylor expansion of k in k 101.763 * [backup-simplify]: Simplify 0 into 0 101.764 * [backup-simplify]: Simplify 1 into 1 101.764 * [backup-simplify]: Simplify (/ 1 1) into 1 101.764 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 101.764 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 101.764 * [taylor]: Taking taylor expansion of (* 2 PI) in k 101.764 * [taylor]: Taking taylor expansion of 2 in k 101.764 * [backup-simplify]: Simplify 2 into 2 101.764 * [taylor]: Taking taylor expansion of PI in k 101.764 * [backup-simplify]: Simplify PI into PI 101.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.765 * [taylor]: Taking taylor expansion of (log n) in k 101.766 * [taylor]: Taking taylor expansion of n in k 101.766 * [backup-simplify]: Simplify n into n 101.766 * [backup-simplify]: Simplify (log n) into (log n) 101.766 * [backup-simplify]: Simplify (- 1) into -1 101.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.766 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 101.767 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 101.768 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 101.769 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 101.770 * [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))))) 101.772 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 101.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 101.773 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 101.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 101.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 101.776 * [backup-simplify]: Simplify (- 0) into 0 101.776 * [backup-simplify]: Simplify (+ 0 0) into 0 101.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 101.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 101.779 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 101.781 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 101.781 * [taylor]: Taking taylor expansion of 0 in k 101.781 * [backup-simplify]: Simplify 0 into 0 101.781 * [backup-simplify]: Simplify 0 into 0 101.781 * [backup-simplify]: Simplify 0 into 0 101.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 101.786 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 101.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.787 * [backup-simplify]: Simplify (- 0) into 0 101.787 * [backup-simplify]: Simplify (+ 0 0) into 0 101.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 101.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 101.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 101.793 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.793 * [taylor]: Taking taylor expansion of 0 in k 101.793 * [backup-simplify]: Simplify 0 into 0 101.793 * [backup-simplify]: Simplify 0 into 0 101.793 * [backup-simplify]: Simplify 0 into 0 101.794 * [backup-simplify]: Simplify 0 into 0 101.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 101.801 * [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 0 101.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.802 * [backup-simplify]: Simplify (- 0) into 0 101.802 * [backup-simplify]: Simplify (+ 0 0) into 0 101.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 101.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 101.807 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 101.810 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.810 * [taylor]: Taking taylor expansion of 0 in k 101.810 * [backup-simplify]: Simplify 0 into 0 101.810 * [backup-simplify]: Simplify 0 into 0 101.811 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 101.811 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 101.811 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 101.811 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 101.812 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 101.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 101.812 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 101.812 * [taylor]: Taking taylor expansion of 1/2 in k 101.812 * [backup-simplify]: Simplify 1/2 into 1/2 101.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.812 * [taylor]: Taking taylor expansion of k in k 101.812 * [backup-simplify]: Simplify 0 into 0 101.812 * [backup-simplify]: Simplify 1 into 1 101.812 * [backup-simplify]: Simplify (/ 1 1) into 1 101.812 * [taylor]: Taking taylor expansion of 1 in k 101.812 * [backup-simplify]: Simplify 1 into 1 101.812 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 101.812 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 101.812 * [taylor]: Taking taylor expansion of -2 in k 101.812 * [backup-simplify]: Simplify -2 into -2 101.812 * [taylor]: Taking taylor expansion of (/ PI n) in k 101.812 * [taylor]: Taking taylor expansion of PI in k 101.812 * [backup-simplify]: Simplify PI into PI 101.812 * [taylor]: Taking taylor expansion of n in k 101.812 * [backup-simplify]: Simplify n into n 101.812 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 101.813 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 101.813 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 101.813 * [backup-simplify]: Simplify (+ 1 0) into 1 101.813 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.814 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 101.814 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 101.814 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 101.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 101.814 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 101.814 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 101.814 * [taylor]: Taking taylor expansion of 1/2 in n 101.814 * [backup-simplify]: Simplify 1/2 into 1/2 101.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 101.814 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.814 * [taylor]: Taking taylor expansion of k in n 101.814 * [backup-simplify]: Simplify k into k 101.814 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.814 * [taylor]: Taking taylor expansion of 1 in n 101.814 * [backup-simplify]: Simplify 1 into 1 101.814 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 101.814 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 101.814 * [taylor]: Taking taylor expansion of -2 in n 101.814 * [backup-simplify]: Simplify -2 into -2 101.814 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.814 * [taylor]: Taking taylor expansion of PI in n 101.814 * [backup-simplify]: Simplify PI into PI 101.814 * [taylor]: Taking taylor expansion of n in n 101.814 * [backup-simplify]: Simplify 0 into 0 101.814 * [backup-simplify]: Simplify 1 into 1 101.815 * [backup-simplify]: Simplify (/ PI 1) into PI 101.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 101.816 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 101.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 101.816 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 101.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 101.819 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 101.820 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 101.820 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 101.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 101.820 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 101.820 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 101.820 * [taylor]: Taking taylor expansion of 1/2 in n 101.820 * [backup-simplify]: Simplify 1/2 into 1/2 101.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 101.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.820 * [taylor]: Taking taylor expansion of k in n 101.820 * [backup-simplify]: Simplify k into k 101.820 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.820 * [taylor]: Taking taylor expansion of 1 in n 101.820 * [backup-simplify]: Simplify 1 into 1 101.820 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 101.820 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 101.820 * [taylor]: Taking taylor expansion of -2 in n 101.821 * [backup-simplify]: Simplify -2 into -2 101.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.821 * [taylor]: Taking taylor expansion of PI in n 101.821 * [backup-simplify]: Simplify PI into PI 101.821 * [taylor]: Taking taylor expansion of n in n 101.821 * [backup-simplify]: Simplify 0 into 0 101.821 * [backup-simplify]: Simplify 1 into 1 101.821 * [backup-simplify]: Simplify (/ PI 1) into PI 101.822 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 101.822 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 101.823 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 101.823 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 101.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 101.825 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 101.827 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 101.827 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 101.827 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 101.827 * [taylor]: Taking taylor expansion of 1/2 in k 101.827 * [backup-simplify]: Simplify 1/2 into 1/2 101.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 101.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.827 * [taylor]: Taking taylor expansion of k in k 101.827 * [backup-simplify]: Simplify 0 into 0 101.827 * [backup-simplify]: Simplify 1 into 1 101.827 * [backup-simplify]: Simplify (/ 1 1) into 1 101.827 * [taylor]: Taking taylor expansion of 1 in k 101.828 * [backup-simplify]: Simplify 1 into 1 101.828 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 101.828 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 101.828 * [taylor]: Taking taylor expansion of (* -2 PI) in k 101.828 * [taylor]: Taking taylor expansion of -2 in k 101.828 * [backup-simplify]: Simplify -2 into -2 101.828 * [taylor]: Taking taylor expansion of PI in k 101.828 * [backup-simplify]: Simplify PI into PI 101.828 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 101.829 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 101.829 * [taylor]: Taking taylor expansion of (log n) in k 101.829 * [taylor]: Taking taylor expansion of n in k 101.829 * [backup-simplify]: Simplify n into n 101.829 * [backup-simplify]: Simplify (log n) into (log n) 101.830 * [backup-simplify]: Simplify (+ 1 0) into 1 101.830 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 101.831 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 101.832 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 101.833 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 101.834 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 101.835 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 101.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 101.837 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 101.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 101.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 101.839 * [backup-simplify]: Simplify (+ 0 0) into 0 101.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 101.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 101.842 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 101.844 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 101.844 * [taylor]: Taking taylor expansion of 0 in k 101.844 * [backup-simplify]: Simplify 0 into 0 101.844 * [backup-simplify]: Simplify 0 into 0 101.844 * [backup-simplify]: Simplify 0 into 0 101.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.846 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 101.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 101.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.850 * [backup-simplify]: Simplify (+ 0 0) into 0 101.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 101.852 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 101.853 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 101.856 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.856 * [taylor]: Taking taylor expansion of 0 in k 101.856 * [backup-simplify]: Simplify 0 into 0 101.856 * [backup-simplify]: Simplify 0 into 0 101.856 * [backup-simplify]: Simplify 0 into 0 101.856 * [backup-simplify]: Simplify 0 into 0 101.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.858 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 101.864 * [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 0 101.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.865 * [backup-simplify]: Simplify (+ 0 0) into 0 101.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 101.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 101.869 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 101.872 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.872 * [taylor]: Taking taylor expansion of 0 in k 101.872 * [backup-simplify]: Simplify 0 into 0 101.872 * [backup-simplify]: Simplify 0 into 0 101.878 * [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)))))) 101.878 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 101.879 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 101.879 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 101.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 101.879 * [taylor]: Taking taylor expansion of 2 in n 101.879 * [backup-simplify]: Simplify 2 into 2 101.879 * [taylor]: Taking taylor expansion of (* n PI) in n 101.879 * [taylor]: Taking taylor expansion of n in n 101.879 * [backup-simplify]: Simplify 0 into 0 101.879 * [backup-simplify]: Simplify 1 into 1 101.879 * [taylor]: Taking taylor expansion of PI in n 101.879 * [backup-simplify]: Simplify PI into PI 101.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 101.879 * [taylor]: Taking taylor expansion of 2 in n 101.879 * [backup-simplify]: Simplify 2 into 2 101.879 * [taylor]: Taking taylor expansion of (* n PI) in n 101.879 * [taylor]: Taking taylor expansion of n in n 101.879 * [backup-simplify]: Simplify 0 into 0 101.879 * [backup-simplify]: Simplify 1 into 1 101.879 * [taylor]: Taking taylor expansion of PI in n 101.879 * [backup-simplify]: Simplify PI into PI 101.880 * [backup-simplify]: Simplify (* 0 PI) into 0 101.880 * [backup-simplify]: Simplify (* 2 0) into 0 101.880 * [backup-simplify]: Simplify 0 into 0 101.882 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 101.883 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 101.884 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 101.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 101.886 * [backup-simplify]: Simplify 0 into 0 101.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 101.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 101.888 * [backup-simplify]: Simplify 0 into 0 101.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 101.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 101.890 * [backup-simplify]: Simplify 0 into 0 101.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 101.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 101.892 * [backup-simplify]: Simplify 0 into 0 101.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 101.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 101.894 * [backup-simplify]: Simplify 0 into 0 101.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 101.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 101.896 * [backup-simplify]: Simplify 0 into 0 101.896 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 101.896 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 101.896 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 101.897 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 101.897 * [taylor]: Taking taylor expansion of 2 in n 101.897 * [backup-simplify]: Simplify 2 into 2 101.897 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.897 * [taylor]: Taking taylor expansion of PI in n 101.897 * [backup-simplify]: Simplify PI into PI 101.897 * [taylor]: Taking taylor expansion of n in n 101.897 * [backup-simplify]: Simplify 0 into 0 101.897 * [backup-simplify]: Simplify 1 into 1 101.897 * [backup-simplify]: Simplify (/ PI 1) into PI 101.897 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 101.897 * [taylor]: Taking taylor expansion of 2 in n 101.897 * [backup-simplify]: Simplify 2 into 2 101.897 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.897 * [taylor]: Taking taylor expansion of PI in n 101.897 * [backup-simplify]: Simplify PI into PI 101.897 * [taylor]: Taking taylor expansion of n in n 101.897 * [backup-simplify]: Simplify 0 into 0 101.897 * [backup-simplify]: Simplify 1 into 1 101.897 * [backup-simplify]: Simplify (/ PI 1) into PI 101.898 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.898 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 101.899 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 101.899 * [backup-simplify]: Simplify 0 into 0 101.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 101.900 * [backup-simplify]: Simplify 0 into 0 101.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 101.902 * [backup-simplify]: Simplify 0 into 0 101.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 101.903 * [backup-simplify]: Simplify 0 into 0 101.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 101.904 * [backup-simplify]: Simplify 0 into 0 101.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 101.906 * [backup-simplify]: Simplify 0 into 0 101.906 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 101.906 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 101.907 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 101.907 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 101.907 * [taylor]: Taking taylor expansion of -2 in n 101.907 * [backup-simplify]: Simplify -2 into -2 101.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.907 * [taylor]: Taking taylor expansion of PI in n 101.907 * [backup-simplify]: Simplify PI into PI 101.907 * [taylor]: Taking taylor expansion of n in n 101.907 * [backup-simplify]: Simplify 0 into 0 101.907 * [backup-simplify]: Simplify 1 into 1 101.907 * [backup-simplify]: Simplify (/ PI 1) into PI 101.907 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 101.907 * [taylor]: Taking taylor expansion of -2 in n 101.907 * [backup-simplify]: Simplify -2 into -2 101.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 101.907 * [taylor]: Taking taylor expansion of PI in n 101.907 * [backup-simplify]: Simplify PI into PI 101.907 * [taylor]: Taking taylor expansion of n in n 101.907 * [backup-simplify]: Simplify 0 into 0 101.907 * [backup-simplify]: Simplify 1 into 1 101.907 * [backup-simplify]: Simplify (/ PI 1) into PI 101.908 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 101.908 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 101.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 101.909 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 101.909 * [backup-simplify]: Simplify 0 into 0 101.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.910 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 101.910 * [backup-simplify]: Simplify 0 into 0 101.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.911 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 101.911 * [backup-simplify]: Simplify 0 into 0 101.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.913 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 101.913 * [backup-simplify]: Simplify 0 into 0 101.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.914 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 101.914 * [backup-simplify]: Simplify 0 into 0 101.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.916 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 101.916 * [backup-simplify]: Simplify 0 into 0 101.916 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 101.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 101.916 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) 101.916 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in (n k) around 0 101.916 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in k 101.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 101.917 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 101.917 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 101.917 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.917 * [taylor]: Taking taylor expansion of 1/2 in k 101.917 * [backup-simplify]: Simplify 1/2 into 1/2 101.917 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.917 * [taylor]: Taking taylor expansion of 1 in k 101.917 * [backup-simplify]: Simplify 1 into 1 101.917 * [taylor]: Taking taylor expansion of k in k 101.917 * [backup-simplify]: Simplify 0 into 0 101.917 * [backup-simplify]: Simplify 1 into 1 101.917 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 101.917 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 101.917 * [taylor]: Taking taylor expansion of 2 in k 101.917 * [backup-simplify]: Simplify 2 into 2 101.917 * [taylor]: Taking taylor expansion of (* n PI) in k 101.917 * [taylor]: Taking taylor expansion of n in k 101.917 * [backup-simplify]: Simplify n into n 101.917 * [taylor]: Taking taylor expansion of PI in k 101.917 * [backup-simplify]: Simplify PI into PI 101.917 * [backup-simplify]: Simplify (* n PI) into (* n PI) 101.917 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 101.917 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 101.917 * [backup-simplify]: Simplify (- 0) into 0 101.917 * [backup-simplify]: Simplify (+ 1 0) into 1 101.918 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.918 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 101.918 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 101.918 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 101.918 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 101.918 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 101.918 * [taylor]: Taking taylor expansion of 1/4 in k 101.918 * [backup-simplify]: Simplify 1/4 into 1/4 101.918 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 101.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.918 * [taylor]: Taking taylor expansion of k in k 101.918 * [backup-simplify]: Simplify 0 into 0 101.918 * [backup-simplify]: Simplify 1 into 1 101.918 * [backup-simplify]: Simplify (/ 1 1) into 1 101.919 * [backup-simplify]: Simplify (log 1) into 0 101.919 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 101.919 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 101.919 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 101.919 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in n 101.919 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 101.919 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 101.919 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 101.919 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.919 * [taylor]: Taking taylor expansion of 1/2 in n 101.919 * [backup-simplify]: Simplify 1/2 into 1/2 101.919 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.919 * [taylor]: Taking taylor expansion of 1 in n 101.919 * [backup-simplify]: Simplify 1 into 1 101.919 * [taylor]: Taking taylor expansion of k in n 101.919 * [backup-simplify]: Simplify k into k 101.919 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 101.919 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 101.919 * [taylor]: Taking taylor expansion of 2 in n 101.919 * [backup-simplify]: Simplify 2 into 2 101.919 * [taylor]: Taking taylor expansion of (* n PI) in n 101.919 * [taylor]: Taking taylor expansion of n in n 101.919 * [backup-simplify]: Simplify 0 into 0 101.919 * [backup-simplify]: Simplify 1 into 1 101.919 * [taylor]: Taking taylor expansion of PI in n 101.919 * [backup-simplify]: Simplify PI into PI 101.920 * [backup-simplify]: Simplify (* 0 PI) into 0 101.920 * [backup-simplify]: Simplify (* 2 0) into 0 101.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 101.922 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 101.922 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.922 * [backup-simplify]: Simplify (- k) into (- k) 101.922 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.922 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.924 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 101.924 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 101.925 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 101.925 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 101.925 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 101.925 * [taylor]: Taking taylor expansion of 1/4 in n 101.925 * [backup-simplify]: Simplify 1/4 into 1/4 101.925 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 101.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.925 * [taylor]: Taking taylor expansion of k in n 101.925 * [backup-simplify]: Simplify k into k 101.925 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.925 * [backup-simplify]: Simplify (log (/ 1 k)) into (log (/ 1 k)) 101.925 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 101.925 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 101.925 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (pow (/ 1 k) 1/4)) in n 101.925 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 101.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 101.925 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 101.925 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.925 * [taylor]: Taking taylor expansion of 1/2 in n 101.925 * [backup-simplify]: Simplify 1/2 into 1/2 101.925 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.925 * [taylor]: Taking taylor expansion of 1 in n 101.925 * [backup-simplify]: Simplify 1 into 1 101.925 * [taylor]: Taking taylor expansion of k in n 101.925 * [backup-simplify]: Simplify k into k 101.925 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 101.925 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 101.925 * [taylor]: Taking taylor expansion of 2 in n 101.925 * [backup-simplify]: Simplify 2 into 2 101.925 * [taylor]: Taking taylor expansion of (* n PI) in n 101.925 * [taylor]: Taking taylor expansion of n in n 101.925 * [backup-simplify]: Simplify 0 into 0 101.925 * [backup-simplify]: Simplify 1 into 1 101.925 * [taylor]: Taking taylor expansion of PI in n 101.925 * [backup-simplify]: Simplify PI into PI 101.926 * [backup-simplify]: Simplify (* 0 PI) into 0 101.926 * [backup-simplify]: Simplify (* 2 0) into 0 101.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 101.929 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 101.930 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.930 * [backup-simplify]: Simplify (- k) into (- k) 101.930 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.930 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.932 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 101.933 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 101.933 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 101.933 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 101.933 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 101.933 * [taylor]: Taking taylor expansion of 1/4 in n 101.933 * [backup-simplify]: Simplify 1/4 into 1/4 101.933 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 101.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.933 * [taylor]: Taking taylor expansion of k in n 101.933 * [backup-simplify]: Simplify k into k 101.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.933 * [backup-simplify]: Simplify (log (/ 1 k)) into (log (/ 1 k)) 101.934 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 101.934 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 101.935 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) 101.935 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)) in k 101.935 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 101.935 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 101.935 * [taylor]: Taking taylor expansion of 1/2 in k 101.935 * [backup-simplify]: Simplify 1/2 into 1/2 101.935 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 101.935 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.935 * [taylor]: Taking taylor expansion of 1 in k 101.935 * [backup-simplify]: Simplify 1 into 1 101.935 * [taylor]: Taking taylor expansion of k in k 101.935 * [backup-simplify]: Simplify 0 into 0 101.935 * [backup-simplify]: Simplify 1 into 1 101.935 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 101.935 * [taylor]: Taking taylor expansion of (log n) in k 101.935 * [taylor]: Taking taylor expansion of n in k 101.935 * [backup-simplify]: Simplify n into n 101.935 * [backup-simplify]: Simplify (log n) into (log n) 101.935 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 101.935 * [taylor]: Taking taylor expansion of (* 2 PI) in k 101.935 * [taylor]: Taking taylor expansion of 2 in k 101.935 * [backup-simplify]: Simplify 2 into 2 101.935 * [taylor]: Taking taylor expansion of PI in k 101.936 * [backup-simplify]: Simplify PI into PI 101.936 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 101.937 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 101.937 * [backup-simplify]: Simplify (- 0) into 0 101.938 * [backup-simplify]: Simplify (+ 1 0) into 1 101.939 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.940 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 101.941 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 101.942 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 101.942 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 101.942 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 101.942 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 101.942 * [taylor]: Taking taylor expansion of 1/4 in k 101.942 * [backup-simplify]: Simplify 1/4 into 1/4 101.942 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 101.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.942 * [taylor]: Taking taylor expansion of k in k 101.942 * [backup-simplify]: Simplify 0 into 0 101.942 * [backup-simplify]: Simplify 1 into 1 101.942 * [backup-simplify]: Simplify (/ 1 1) into 1 101.943 * [backup-simplify]: Simplify (log 1) into 0 101.943 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 101.943 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 101.943 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 101.944 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k -1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 101.945 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 101.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 101.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 101.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 101.947 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 101.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 101.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 101.952 * [backup-simplify]: Simplify (- 0) into 0 101.952 * [backup-simplify]: Simplify (+ 0 0) into 0 101.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 101.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 101.955 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 101.957 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 101.958 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (pow (/ 1 k) 1/4))) into 0 101.958 * [taylor]: Taking taylor expansion of 0 in k 101.958 * [backup-simplify]: Simplify 0 into 0 101.958 * [backup-simplify]: Simplify 0 into 0 101.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 101.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.961 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 101.961 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 101.962 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 101.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 101.964 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 101.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 101.966 * [backup-simplify]: Simplify (+ 0 0) into 0 101.966 * [backup-simplify]: Simplify (- 1) into -1 101.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.968 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 101.970 * [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))))) 101.973 * [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))))))) 101.977 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (pow k -1/4))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 101.981 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 101.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 101.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 101.985 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 101.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 101.991 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 101.991 * [backup-simplify]: Simplify (- 0) into 0 101.992 * [backup-simplify]: Simplify (+ 0 0) into 0 101.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.000 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 102.001 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 102.003 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.005 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (pow (/ 1 k) 1/4)))) into 0 102.005 * [taylor]: Taking taylor expansion of 0 in k 102.005 * [backup-simplify]: Simplify 0 into 0 102.005 * [backup-simplify]: Simplify 0 into 0 102.005 * [backup-simplify]: Simplify 0 into 0 102.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.009 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 102.009 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 102.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 102.012 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.013 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 102.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 102.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 102.018 * [backup-simplify]: Simplify (+ 0 0) into 0 102.018 * [backup-simplify]: Simplify (- 0) into 0 102.019 * [backup-simplify]: Simplify (+ 0 0) into 0 102.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 102.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 102.027 * [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))))) 102.036 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 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))))) (pow k -1/4)))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 102.043 * [backup-simplify]: Simplify (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 102.056 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) (* k 1)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)))) into (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 102.056 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) 102.057 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in (n k) around 0 102.057 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in k 102.057 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 102.057 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 102.057 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 102.057 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.057 * [taylor]: Taking taylor expansion of 1/2 in k 102.057 * [backup-simplify]: Simplify 1/2 into 1/2 102.057 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.057 * [taylor]: Taking taylor expansion of 1 in k 102.057 * [backup-simplify]: Simplify 1 into 1 102.057 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.057 * [taylor]: Taking taylor expansion of k in k 102.057 * [backup-simplify]: Simplify 0 into 0 102.057 * [backup-simplify]: Simplify 1 into 1 102.057 * [backup-simplify]: Simplify (/ 1 1) into 1 102.057 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 102.057 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 102.057 * [taylor]: Taking taylor expansion of 2 in k 102.057 * [backup-simplify]: Simplify 2 into 2 102.057 * [taylor]: Taking taylor expansion of (/ PI n) in k 102.058 * [taylor]: Taking taylor expansion of PI in k 102.058 * [backup-simplify]: Simplify PI into PI 102.058 * [taylor]: Taking taylor expansion of n in k 102.058 * [backup-simplify]: Simplify n into n 102.058 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 102.058 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 102.058 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 102.058 * [backup-simplify]: Simplify (- 1) into -1 102.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.059 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.059 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 102.059 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 102.059 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 102.059 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 102.060 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 102.060 * [taylor]: Taking taylor expansion of 1/4 in k 102.060 * [backup-simplify]: Simplify 1/4 into 1/4 102.060 * [taylor]: Taking taylor expansion of (log k) in k 102.060 * [taylor]: Taking taylor expansion of k in k 102.060 * [backup-simplify]: Simplify 0 into 0 102.060 * [backup-simplify]: Simplify 1 into 1 102.060 * [backup-simplify]: Simplify (log 1) into 0 102.060 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 102.061 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 102.061 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 102.061 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in n 102.061 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 102.061 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 102.061 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 102.061 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.061 * [taylor]: Taking taylor expansion of 1/2 in n 102.061 * [backup-simplify]: Simplify 1/2 into 1/2 102.061 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.061 * [taylor]: Taking taylor expansion of 1 in n 102.061 * [backup-simplify]: Simplify 1 into 1 102.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.061 * [taylor]: Taking taylor expansion of k in n 102.061 * [backup-simplify]: Simplify k into k 102.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.061 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 102.061 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 102.061 * [taylor]: Taking taylor expansion of 2 in n 102.061 * [backup-simplify]: Simplify 2 into 2 102.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.061 * [taylor]: Taking taylor expansion of PI in n 102.061 * [backup-simplify]: Simplify PI into PI 102.061 * [taylor]: Taking taylor expansion of n in n 102.061 * [backup-simplify]: Simplify 0 into 0 102.061 * [backup-simplify]: Simplify 1 into 1 102.062 * [backup-simplify]: Simplify (/ PI 1) into PI 102.062 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 102.063 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.064 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.064 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.064 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.067 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 102.068 * [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))))) 102.068 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 102.068 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 102.068 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 102.068 * [taylor]: Taking taylor expansion of 1/4 in n 102.068 * [backup-simplify]: Simplify 1/4 into 1/4 102.068 * [taylor]: Taking taylor expansion of (log k) in n 102.068 * [taylor]: Taking taylor expansion of k in n 102.068 * [backup-simplify]: Simplify k into k 102.068 * [backup-simplify]: Simplify (log k) into (log k) 102.068 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 102.068 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 102.068 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (pow k 1/4)) in n 102.068 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 102.068 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 102.068 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 102.068 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.068 * [taylor]: Taking taylor expansion of 1/2 in n 102.068 * [backup-simplify]: Simplify 1/2 into 1/2 102.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.068 * [taylor]: Taking taylor expansion of 1 in n 102.068 * [backup-simplify]: Simplify 1 into 1 102.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.068 * [taylor]: Taking taylor expansion of k in n 102.068 * [backup-simplify]: Simplify k into k 102.069 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.069 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 102.069 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 102.069 * [taylor]: Taking taylor expansion of 2 in n 102.069 * [backup-simplify]: Simplify 2 into 2 102.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.069 * [taylor]: Taking taylor expansion of PI in n 102.069 * [backup-simplify]: Simplify PI into PI 102.069 * [taylor]: Taking taylor expansion of n in n 102.069 * [backup-simplify]: Simplify 0 into 0 102.069 * [backup-simplify]: Simplify 1 into 1 102.069 * [backup-simplify]: Simplify (/ PI 1) into PI 102.070 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 102.071 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.071 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.071 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.071 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.073 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 102.074 * [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))))) 102.074 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 102.075 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 102.075 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 102.075 * [taylor]: Taking taylor expansion of 1/4 in n 102.075 * [backup-simplify]: Simplify 1/4 into 1/4 102.075 * [taylor]: Taking taylor expansion of (log k) in n 102.075 * [taylor]: Taking taylor expansion of k in n 102.075 * [backup-simplify]: Simplify k into k 102.075 * [backup-simplify]: Simplify (log k) into (log k) 102.075 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 102.075 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 102.076 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) 102.076 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) in k 102.076 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 102.076 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 102.076 * [taylor]: Taking taylor expansion of 1/2 in k 102.076 * [backup-simplify]: Simplify 1/2 into 1/2 102.076 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 102.076 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.076 * [taylor]: Taking taylor expansion of 1 in k 102.076 * [backup-simplify]: Simplify 1 into 1 102.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.077 * [taylor]: Taking taylor expansion of k in k 102.077 * [backup-simplify]: Simplify 0 into 0 102.077 * [backup-simplify]: Simplify 1 into 1 102.077 * [backup-simplify]: Simplify (/ 1 1) into 1 102.077 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 102.077 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 102.077 * [taylor]: Taking taylor expansion of (* 2 PI) in k 102.077 * [taylor]: Taking taylor expansion of 2 in k 102.077 * [backup-simplify]: Simplify 2 into 2 102.077 * [taylor]: Taking taylor expansion of PI in k 102.077 * [backup-simplify]: Simplify PI into PI 102.078 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 102.079 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.079 * [taylor]: Taking taylor expansion of (log n) in k 102.079 * [taylor]: Taking taylor expansion of n in k 102.079 * [backup-simplify]: Simplify n into n 102.079 * [backup-simplify]: Simplify (log n) into (log n) 102.079 * [backup-simplify]: Simplify (- 1) into -1 102.080 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.080 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 102.081 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 102.082 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 102.083 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 102.084 * [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))))) 102.085 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 102.085 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 102.085 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 102.085 * [taylor]: Taking taylor expansion of 1/4 in k 102.085 * [backup-simplify]: Simplify 1/4 into 1/4 102.085 * [taylor]: Taking taylor expansion of (log k) in k 102.085 * [taylor]: Taking taylor expansion of k in k 102.085 * [backup-simplify]: Simplify 0 into 0 102.085 * [backup-simplify]: Simplify 1 into 1 102.085 * [backup-simplify]: Simplify (log 1) into 0 102.086 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 102.086 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 102.086 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 102.087 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) 102.088 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (pow k 1/4)) 102.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 102.089 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 102.090 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 102.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 102.092 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 102.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 102.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.094 * [backup-simplify]: Simplify (- 0) into 0 102.094 * [backup-simplify]: Simplify (+ 0 0) into 0 102.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.097 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 102.099 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.100 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (pow k 1/4))) into 0 102.100 * [taylor]: Taking taylor expansion of 0 in k 102.100 * [backup-simplify]: Simplify 0 into 0 102.100 * [backup-simplify]: Simplify 0 into 0 102.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 102.102 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 102.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 102.104 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 102.105 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (pow k 1/4))) into 0 102.105 * [backup-simplify]: Simplify 0 into 0 102.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 102.108 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 102.109 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 102.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 102.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.116 * [backup-simplify]: Simplify (- 0) into 0 102.116 * [backup-simplify]: Simplify (+ 0 0) into 0 102.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.118 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.120 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 102.122 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.124 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 102.124 * [taylor]: Taking taylor expansion of 0 in k 102.124 * [backup-simplify]: Simplify 0 into 0 102.124 * [backup-simplify]: Simplify 0 into 0 102.124 * [backup-simplify]: Simplify 0 into 0 102.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 102.128 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 102.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 102.130 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.132 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 102.132 * [backup-simplify]: Simplify 0 into 0 102.135 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 102.136 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 102.144 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 102.153 * [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 0 102.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.153 * [backup-simplify]: Simplify (- 0) into 0 102.154 * [backup-simplify]: Simplify (+ 0 0) into 0 102.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.157 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 102.158 * [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 0 102.159 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 102.159 * [taylor]: Taking taylor expansion of 0 in k 102.160 * [backup-simplify]: Simplify 0 into 0 102.160 * [backup-simplify]: Simplify 0 into 0 102.160 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (/ 1 k) 1/4)) 102.161 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 102.161 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 102.161 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 102.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 102.161 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 102.161 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.161 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.161 * [taylor]: Taking taylor expansion of -1 in k 102.161 * [backup-simplify]: Simplify -1 into -1 102.161 * [taylor]: Taking taylor expansion of k in k 102.161 * [backup-simplify]: Simplify 0 into 0 102.161 * [backup-simplify]: Simplify 1 into 1 102.161 * [backup-simplify]: Simplify (/ -1 1) into -1 102.161 * [backup-simplify]: Simplify (sqrt 0) into 0 102.162 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.163 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 102.163 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 102.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.166 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 102.167 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 102.167 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 102.167 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 102.167 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 102.168 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.168 * [taylor]: Taking taylor expansion of 1/2 in k 102.168 * [backup-simplify]: Simplify 1/2 into 1/2 102.168 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.168 * [taylor]: Taking taylor expansion of k in k 102.168 * [backup-simplify]: Simplify 0 into 0 102.168 * [backup-simplify]: Simplify 1 into 1 102.168 * [backup-simplify]: Simplify (/ 1 1) into 1 102.168 * [taylor]: Taking taylor expansion of 1 in k 102.168 * [backup-simplify]: Simplify 1 into 1 102.168 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 102.168 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 102.168 * [taylor]: Taking taylor expansion of -2 in k 102.168 * [backup-simplify]: Simplify -2 into -2 102.168 * [taylor]: Taking taylor expansion of (/ PI n) in k 102.168 * [taylor]: Taking taylor expansion of PI in k 102.168 * [backup-simplify]: Simplify PI into PI 102.168 * [taylor]: Taking taylor expansion of n in k 102.168 * [backup-simplify]: Simplify n into n 102.168 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 102.168 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 102.168 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 102.168 * [backup-simplify]: Simplify (+ 1 0) into 1 102.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.169 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 102.169 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 102.169 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 102.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 102.169 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 102.169 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.169 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.169 * [taylor]: Taking taylor expansion of -1 in n 102.169 * [backup-simplify]: Simplify -1 into -1 102.169 * [taylor]: Taking taylor expansion of k in n 102.169 * [backup-simplify]: Simplify k into k 102.169 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.169 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.169 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.169 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 102.169 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 102.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 102.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 102.170 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 102.170 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 102.170 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 102.170 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.170 * [taylor]: Taking taylor expansion of 1/2 in n 102.170 * [backup-simplify]: Simplify 1/2 into 1/2 102.170 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.170 * [taylor]: Taking taylor expansion of k in n 102.170 * [backup-simplify]: Simplify k into k 102.170 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.170 * [taylor]: Taking taylor expansion of 1 in n 102.170 * [backup-simplify]: Simplify 1 into 1 102.170 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 102.170 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 102.170 * [taylor]: Taking taylor expansion of -2 in n 102.170 * [backup-simplify]: Simplify -2 into -2 102.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.170 * [taylor]: Taking taylor expansion of PI in n 102.170 * [backup-simplify]: Simplify PI into PI 102.170 * [taylor]: Taking taylor expansion of n in n 102.170 * [backup-simplify]: Simplify 0 into 0 102.170 * [backup-simplify]: Simplify 1 into 1 102.170 * [backup-simplify]: Simplify (/ PI 1) into PI 102.171 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 102.171 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 102.171 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.171 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.172 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.173 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 102.173 * [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))))) 102.173 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 102.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 102.174 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 102.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.174 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.174 * [taylor]: Taking taylor expansion of -1 in n 102.174 * [backup-simplify]: Simplify -1 into -1 102.174 * [taylor]: Taking taylor expansion of k in n 102.174 * [backup-simplify]: Simplify k into k 102.174 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.174 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.174 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.174 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 102.174 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 102.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 102.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 102.174 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 102.174 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 102.174 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 102.174 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.174 * [taylor]: Taking taylor expansion of 1/2 in n 102.174 * [backup-simplify]: Simplify 1/2 into 1/2 102.174 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.174 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.174 * [taylor]: Taking taylor expansion of k in n 102.174 * [backup-simplify]: Simplify k into k 102.174 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.174 * [taylor]: Taking taylor expansion of 1 in n 102.174 * [backup-simplify]: Simplify 1 into 1 102.174 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 102.174 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 102.174 * [taylor]: Taking taylor expansion of -2 in n 102.174 * [backup-simplify]: Simplify -2 into -2 102.174 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.174 * [taylor]: Taking taylor expansion of PI in n 102.174 * [backup-simplify]: Simplify PI into PI 102.174 * [taylor]: Taking taylor expansion of n in n 102.174 * [backup-simplify]: Simplify 0 into 0 102.175 * [backup-simplify]: Simplify 1 into 1 102.175 * [backup-simplify]: Simplify (/ PI 1) into PI 102.175 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 102.176 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 102.176 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.176 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.177 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.177 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 102.178 * [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))))) 102.179 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 102.179 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 102.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 102.179 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 102.179 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.179 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.179 * [taylor]: Taking taylor expansion of -1 in k 102.179 * [backup-simplify]: Simplify -1 into -1 102.179 * [taylor]: Taking taylor expansion of k in k 102.179 * [backup-simplify]: Simplify 0 into 0 102.179 * [backup-simplify]: Simplify 1 into 1 102.179 * [backup-simplify]: Simplify (/ -1 1) into -1 102.179 * [backup-simplify]: Simplify (sqrt 0) into 0 102.180 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.181 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 102.181 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 102.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.186 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 102.188 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 102.188 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 102.188 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 102.188 * [taylor]: Taking taylor expansion of 1/2 in k 102.188 * [backup-simplify]: Simplify 1/2 into 1/2 102.188 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 102.188 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.188 * [taylor]: Taking taylor expansion of k in k 102.188 * [backup-simplify]: Simplify 0 into 0 102.188 * [backup-simplify]: Simplify 1 into 1 102.188 * [backup-simplify]: Simplify (/ 1 1) into 1 102.188 * [taylor]: Taking taylor expansion of 1 in k 102.188 * [backup-simplify]: Simplify 1 into 1 102.188 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 102.188 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 102.189 * [taylor]: Taking taylor expansion of (* -2 PI) in k 102.189 * [taylor]: Taking taylor expansion of -2 in k 102.189 * [backup-simplify]: Simplify -2 into -2 102.189 * [taylor]: Taking taylor expansion of PI in k 102.189 * [backup-simplify]: Simplify PI into PI 102.189 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 102.190 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 102.190 * [taylor]: Taking taylor expansion of (log n) in k 102.190 * [taylor]: Taking taylor expansion of n in k 102.190 * [backup-simplify]: Simplify n into n 102.190 * [backup-simplify]: Simplify (log n) into (log n) 102.191 * [backup-simplify]: Simplify (+ 1 0) into 1 102.191 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 102.192 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 102.193 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 102.194 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 102.195 * [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))))) 102.196 * [backup-simplify]: Simplify (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 102.197 * [backup-simplify]: Simplify (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 102.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 102.198 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 102.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 102.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.199 * [backup-simplify]: Simplify (+ 0 0) into 0 102.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.200 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.201 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 102.202 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.203 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 102.203 * [taylor]: Taking taylor expansion of 0 in k 102.203 * [backup-simplify]: Simplify 0 into 0 102.203 * [backup-simplify]: Simplify 0 into 0 102.204 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +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))))) (sqrt +nan.0)))) 102.205 * [backup-simplify]: Simplify (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))) 102.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.207 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 102.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 102.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.209 * [backup-simplify]: Simplify (+ 0 0) into 0 102.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.211 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 102.212 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.212 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.213 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 102.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 102.213 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 102.214 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 102.214 * [taylor]: Taking taylor expansion of 0 in k 102.215 * [backup-simplify]: Simplify 0 into 0 102.215 * [backup-simplify]: Simplify 0 into 0 102.215 * [backup-simplify]: Simplify 0 into 0 102.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.220 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 102.223 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 102.231 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +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))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))))) 102.234 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt +nan.0)))))) 102.247 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (sqrt +nan.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (sqrt +nan.0) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (* (sqrt +nan.0) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (pow (sqrt +nan.0) 3))))))))) 102.248 * * * * [progress]: [ 4 / 4 ] generating series at (2) 102.248 * [backup-simplify]: Simplify (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 102.248 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 102.249 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 102.249 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 102.249 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 102.249 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 102.249 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 102.249 * [taylor]: Taking taylor expansion of 1/2 in k 102.249 * [backup-simplify]: Simplify 1/2 into 1/2 102.249 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.249 * [taylor]: Taking taylor expansion of 1 in k 102.249 * [backup-simplify]: Simplify 1 into 1 102.249 * [taylor]: Taking taylor expansion of k in k 102.249 * [backup-simplify]: Simplify 0 into 0 102.249 * [backup-simplify]: Simplify 1 into 1 102.249 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 102.249 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 102.249 * [taylor]: Taking taylor expansion of 2 in k 102.249 * [backup-simplify]: Simplify 2 into 2 102.249 * [taylor]: Taking taylor expansion of (* n PI) in k 102.249 * [taylor]: Taking taylor expansion of n in k 102.249 * [backup-simplify]: Simplify n into n 102.249 * [taylor]: Taking taylor expansion of PI in k 102.249 * [backup-simplify]: Simplify PI into PI 102.249 * [backup-simplify]: Simplify (* n PI) into (* n PI) 102.249 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 102.249 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 102.250 * [backup-simplify]: Simplify (- 0) into 0 102.250 * [backup-simplify]: Simplify (+ 1 0) into 1 102.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.251 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 102.251 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 102.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.251 * [taylor]: Taking taylor expansion of k in k 102.251 * [backup-simplify]: Simplify 0 into 0 102.251 * [backup-simplify]: Simplify 1 into 1 102.251 * [backup-simplify]: Simplify (/ 1 1) into 1 102.252 * [backup-simplify]: Simplify (sqrt 0) into 0 102.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.253 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 102.253 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 102.253 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 102.253 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 102.253 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.253 * [taylor]: Taking taylor expansion of 1/2 in n 102.253 * [backup-simplify]: Simplify 1/2 into 1/2 102.253 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.253 * [taylor]: Taking taylor expansion of 1 in n 102.253 * [backup-simplify]: Simplify 1 into 1 102.253 * [taylor]: Taking taylor expansion of k in n 102.253 * [backup-simplify]: Simplify k into k 102.253 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 102.253 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 102.253 * [taylor]: Taking taylor expansion of 2 in n 102.253 * [backup-simplify]: Simplify 2 into 2 102.253 * [taylor]: Taking taylor expansion of (* n PI) in n 102.253 * [taylor]: Taking taylor expansion of n in n 102.253 * [backup-simplify]: Simplify 0 into 0 102.253 * [backup-simplify]: Simplify 1 into 1 102.253 * [taylor]: Taking taylor expansion of PI in n 102.253 * [backup-simplify]: Simplify PI into PI 102.253 * [backup-simplify]: Simplify (* 0 PI) into 0 102.254 * [backup-simplify]: Simplify (* 2 0) into 0 102.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 102.255 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 102.256 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.256 * [backup-simplify]: Simplify (- k) into (- k) 102.256 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.256 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.257 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 102.258 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 102.258 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 102.258 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 102.258 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.258 * [taylor]: Taking taylor expansion of k in n 102.258 * [backup-simplify]: Simplify k into k 102.258 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.258 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 102.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 102.258 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 102.259 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 102.259 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 102.259 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 102.259 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.259 * [taylor]: Taking taylor expansion of 1/2 in n 102.259 * [backup-simplify]: Simplify 1/2 into 1/2 102.259 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.259 * [taylor]: Taking taylor expansion of 1 in n 102.259 * [backup-simplify]: Simplify 1 into 1 102.259 * [taylor]: Taking taylor expansion of k in n 102.259 * [backup-simplify]: Simplify k into k 102.259 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 102.259 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 102.259 * [taylor]: Taking taylor expansion of 2 in n 102.259 * [backup-simplify]: Simplify 2 into 2 102.259 * [taylor]: Taking taylor expansion of (* n PI) in n 102.259 * [taylor]: Taking taylor expansion of n in n 102.259 * [backup-simplify]: Simplify 0 into 0 102.259 * [backup-simplify]: Simplify 1 into 1 102.259 * [taylor]: Taking taylor expansion of PI in n 102.259 * [backup-simplify]: Simplify PI into PI 102.259 * [backup-simplify]: Simplify (* 0 PI) into 0 102.259 * [backup-simplify]: Simplify (* 2 0) into 0 102.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 102.261 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 102.262 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.262 * [backup-simplify]: Simplify (- k) into (- k) 102.262 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.262 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.263 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 102.263 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 102.264 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 102.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 102.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.264 * [taylor]: Taking taylor expansion of k in n 102.264 * [backup-simplify]: Simplify k into k 102.264 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.264 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 102.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 102.265 * [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))) 102.265 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 102.265 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 102.265 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 102.265 * [taylor]: Taking taylor expansion of 1/2 in k 102.265 * [backup-simplify]: Simplify 1/2 into 1/2 102.265 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 102.265 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.265 * [taylor]: Taking taylor expansion of 1 in k 102.265 * [backup-simplify]: Simplify 1 into 1 102.265 * [taylor]: Taking taylor expansion of k in k 102.265 * [backup-simplify]: Simplify 0 into 0 102.265 * [backup-simplify]: Simplify 1 into 1 102.265 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 102.265 * [taylor]: Taking taylor expansion of (log n) in k 102.265 * [taylor]: Taking taylor expansion of n in k 102.265 * [backup-simplify]: Simplify n into n 102.265 * [backup-simplify]: Simplify (log n) into (log n) 102.265 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 102.265 * [taylor]: Taking taylor expansion of (* 2 PI) in k 102.265 * [taylor]: Taking taylor expansion of 2 in k 102.265 * [backup-simplify]: Simplify 2 into 2 102.265 * [taylor]: Taking taylor expansion of PI in k 102.265 * [backup-simplify]: Simplify PI into PI 102.266 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 102.266 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.267 * [backup-simplify]: Simplify (- 0) into 0 102.267 * [backup-simplify]: Simplify (+ 1 0) into 1 102.267 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 102.268 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 102.269 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 102.269 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 102.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.269 * [taylor]: Taking taylor expansion of k in k 102.269 * [backup-simplify]: Simplify 0 into 0 102.269 * [backup-simplify]: Simplify 1 into 1 102.270 * [backup-simplify]: Simplify (/ 1 1) into 1 102.270 * [backup-simplify]: Simplify (sqrt 0) into 0 102.271 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.271 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 102.272 * [backup-simplify]: Simplify 0 into 0 102.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 102.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 102.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 102.274 * [backup-simplify]: Simplify (- 0) into 0 102.274 * [backup-simplify]: Simplify (+ 0 0) into 0 102.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 102.275 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 102.276 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 102.277 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.278 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 102.278 * [taylor]: Taking taylor expansion of 0 in k 102.278 * [backup-simplify]: Simplify 0 into 0 102.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 102.279 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 102.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 102.281 * [backup-simplify]: Simplify (+ 0 0) into 0 102.282 * [backup-simplify]: Simplify (- 1) into -1 102.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.283 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 102.285 * [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))))) 102.288 * [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))))))) 102.292 * [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))))))) 102.293 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 102.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 102.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 102.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 102.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 102.300 * [backup-simplify]: Simplify (- 0) into 0 102.300 * [backup-simplify]: Simplify (+ 0 0) into 0 102.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 102.304 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 102.306 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.307 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 102.307 * [taylor]: Taking taylor expansion of 0 in k 102.307 * [backup-simplify]: Simplify 0 into 0 102.307 * [backup-simplify]: Simplify 0 into 0 102.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 102.309 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 102.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 102.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 102.313 * [backup-simplify]: Simplify (+ 0 0) into 0 102.313 * [backup-simplify]: Simplify (- 0) into 0 102.314 * [backup-simplify]: Simplify (+ 0 0) into 0 102.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 102.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 102.318 * [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))))) 102.323 * [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)))))))) 102.326 * [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)))))))) 102.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 102.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 102.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 102.331 * [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 0 102.331 * [backup-simplify]: Simplify (- 0) into 0 102.331 * [backup-simplify]: Simplify (+ 0 0) into 0 102.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 102.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 102.334 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 102.337 * [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 0 102.339 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 102.339 * [taylor]: Taking taylor expansion of 0 in k 102.339 * [backup-simplify]: Simplify 0 into 0 102.339 * [backup-simplify]: Simplify 0 into 0 102.339 * [backup-simplify]: Simplify 0 into 0 102.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.352 * [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 0 102.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 102.359 * [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 0 102.360 * [backup-simplify]: Simplify (+ 0 0) into 0 102.360 * [backup-simplify]: Simplify (- 0) into 0 102.361 * [backup-simplify]: Simplify (+ 0 0) into 0 102.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 102.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 102.369 * [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))))))) 102.379 * [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)))))))))))))) 102.385 * [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)))))))))))))) 102.395 * [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)))))))))))))))))))))) 102.396 * [backup-simplify]: Simplify (/ (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 102.396 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 102.396 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 102.396 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 102.396 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 102.396 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 102.396 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.396 * [taylor]: Taking taylor expansion of 1/2 in k 102.396 * [backup-simplify]: Simplify 1/2 into 1/2 102.396 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.396 * [taylor]: Taking taylor expansion of 1 in k 102.396 * [backup-simplify]: Simplify 1 into 1 102.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.396 * [taylor]: Taking taylor expansion of k in k 102.396 * [backup-simplify]: Simplify 0 into 0 102.396 * [backup-simplify]: Simplify 1 into 1 102.396 * [backup-simplify]: Simplify (/ 1 1) into 1 102.396 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 102.396 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 102.396 * [taylor]: Taking taylor expansion of 2 in k 102.396 * [backup-simplify]: Simplify 2 into 2 102.396 * [taylor]: Taking taylor expansion of (/ PI n) in k 102.396 * [taylor]: Taking taylor expansion of PI in k 102.396 * [backup-simplify]: Simplify PI into PI 102.396 * [taylor]: Taking taylor expansion of n in k 102.396 * [backup-simplify]: Simplify n into n 102.396 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 102.397 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 102.397 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 102.397 * [backup-simplify]: Simplify (- 1) into -1 102.397 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.397 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.397 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 102.398 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 102.398 * [taylor]: Taking taylor expansion of (sqrt k) in k 102.398 * [taylor]: Taking taylor expansion of k in k 102.398 * [backup-simplify]: Simplify 0 into 0 102.398 * [backup-simplify]: Simplify 1 into 1 102.398 * [backup-simplify]: Simplify (sqrt 0) into 0 102.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.399 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 102.399 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 102.399 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 102.399 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 102.399 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.399 * [taylor]: Taking taylor expansion of 1/2 in n 102.399 * [backup-simplify]: Simplify 1/2 into 1/2 102.399 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.399 * [taylor]: Taking taylor expansion of 1 in n 102.399 * [backup-simplify]: Simplify 1 into 1 102.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.399 * [taylor]: Taking taylor expansion of k in n 102.399 * [backup-simplify]: Simplify k into k 102.399 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.399 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 102.399 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 102.399 * [taylor]: Taking taylor expansion of 2 in n 102.399 * [backup-simplify]: Simplify 2 into 2 102.399 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.399 * [taylor]: Taking taylor expansion of PI in n 102.399 * [backup-simplify]: Simplify PI into PI 102.399 * [taylor]: Taking taylor expansion of n in n 102.399 * [backup-simplify]: Simplify 0 into 0 102.399 * [backup-simplify]: Simplify 1 into 1 102.399 * [backup-simplify]: Simplify (/ PI 1) into PI 102.400 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 102.400 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.400 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.400 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.400 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.402 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 102.403 * [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))))) 102.403 * [taylor]: Taking taylor expansion of (sqrt k) in n 102.403 * [taylor]: Taking taylor expansion of k in n 102.403 * [backup-simplify]: Simplify k into k 102.403 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 102.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 102.403 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 102.403 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 102.403 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 102.403 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 102.403 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.404 * [taylor]: Taking taylor expansion of 1/2 in n 102.404 * [backup-simplify]: Simplify 1/2 into 1/2 102.404 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.404 * [taylor]: Taking taylor expansion of 1 in n 102.404 * [backup-simplify]: Simplify 1 into 1 102.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.404 * [taylor]: Taking taylor expansion of k in n 102.404 * [backup-simplify]: Simplify k into k 102.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.404 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 102.404 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 102.404 * [taylor]: Taking taylor expansion of 2 in n 102.404 * [backup-simplify]: Simplify 2 into 2 102.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.404 * [taylor]: Taking taylor expansion of PI in n 102.404 * [backup-simplify]: Simplify PI into PI 102.404 * [taylor]: Taking taylor expansion of n in n 102.404 * [backup-simplify]: Simplify 0 into 0 102.404 * [backup-simplify]: Simplify 1 into 1 102.404 * [backup-simplify]: Simplify (/ PI 1) into PI 102.405 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 102.406 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.406 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.406 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.406 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.407 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.409 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 102.410 * [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))))) 102.410 * [taylor]: Taking taylor expansion of (sqrt k) in n 102.410 * [taylor]: Taking taylor expansion of k in n 102.410 * [backup-simplify]: Simplify k into k 102.410 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 102.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 102.411 * [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)) 102.411 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 102.411 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 102.411 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 102.411 * [taylor]: Taking taylor expansion of 1/2 in k 102.411 * [backup-simplify]: Simplify 1/2 into 1/2 102.411 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 102.411 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.411 * [taylor]: Taking taylor expansion of 1 in k 102.411 * [backup-simplify]: Simplify 1 into 1 102.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.411 * [taylor]: Taking taylor expansion of k in k 102.411 * [backup-simplify]: Simplify 0 into 0 102.411 * [backup-simplify]: Simplify 1 into 1 102.412 * [backup-simplify]: Simplify (/ 1 1) into 1 102.412 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 102.412 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 102.412 * [taylor]: Taking taylor expansion of (* 2 PI) in k 102.412 * [taylor]: Taking taylor expansion of 2 in k 102.412 * [backup-simplify]: Simplify 2 into 2 102.412 * [taylor]: Taking taylor expansion of PI in k 102.412 * [backup-simplify]: Simplify PI into PI 102.412 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 102.413 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 102.413 * [taylor]: Taking taylor expansion of (log n) in k 102.413 * [taylor]: Taking taylor expansion of n in k 102.414 * [backup-simplify]: Simplify n into n 102.414 * [backup-simplify]: Simplify (log n) into (log n) 102.414 * [backup-simplify]: Simplify (- 1) into -1 102.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.414 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 102.415 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 102.416 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 102.417 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 102.419 * [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))))) 102.419 * [taylor]: Taking taylor expansion of (sqrt k) in k 102.419 * [taylor]: Taking taylor expansion of k in k 102.419 * [backup-simplify]: Simplify 0 into 0 102.419 * [backup-simplify]: Simplify 1 into 1 102.419 * [backup-simplify]: Simplify (sqrt 0) into 0 102.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.421 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 102.421 * [backup-simplify]: Simplify 0 into 0 102.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 102.423 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 102.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 102.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.426 * [backup-simplify]: Simplify (- 0) into 0 102.426 * [backup-simplify]: Simplify (+ 0 0) into 0 102.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.429 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 102.431 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.432 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 102.432 * [taylor]: Taking taylor expansion of 0 in k 102.432 * [backup-simplify]: Simplify 0 into 0 102.432 * [backup-simplify]: Simplify 0 into 0 102.434 * [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))))))) 102.435 * [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))))))) 102.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 102.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 102.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 102.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.442 * [backup-simplify]: Simplify (- 0) into 0 102.442 * [backup-simplify]: Simplify (+ 0 0) into 0 102.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.446 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 102.449 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.450 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 102.450 * [taylor]: Taking taylor expansion of 0 in k 102.450 * [backup-simplify]: Simplify 0 into 0 102.450 * [backup-simplify]: Simplify 0 into 0 102.450 * [backup-simplify]: Simplify 0 into 0 102.453 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.455 * [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))))))) 102.457 * [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))))))) 102.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 102.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 102.471 * [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 0 102.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.472 * [backup-simplify]: Simplify (- 0) into 0 102.472 * [backup-simplify]: Simplify (+ 0 0) into 0 102.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.475 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 102.477 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 102.480 * [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 0 102.482 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 102.482 * [taylor]: Taking taylor expansion of 0 in k 102.482 * [backup-simplify]: Simplify 0 into 0 102.482 * [backup-simplify]: Simplify 0 into 0 102.482 * [backup-simplify]: Simplify 0 into 0 102.482 * [backup-simplify]: Simplify 0 into 0 102.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.488 * [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))))))) 102.489 * [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))))))) 102.493 * [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)))))))) 102.494 * [backup-simplify]: Simplify (/ (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 102.494 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 102.494 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 102.494 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 102.494 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 102.494 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 102.494 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.494 * [taylor]: Taking taylor expansion of 1/2 in k 102.494 * [backup-simplify]: Simplify 1/2 into 1/2 102.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.494 * [taylor]: Taking taylor expansion of k in k 102.494 * [backup-simplify]: Simplify 0 into 0 102.495 * [backup-simplify]: Simplify 1 into 1 102.495 * [backup-simplify]: Simplify (/ 1 1) into 1 102.495 * [taylor]: Taking taylor expansion of 1 in k 102.495 * [backup-simplify]: Simplify 1 into 1 102.495 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 102.495 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 102.495 * [taylor]: Taking taylor expansion of -2 in k 102.495 * [backup-simplify]: Simplify -2 into -2 102.495 * [taylor]: Taking taylor expansion of (/ PI n) in k 102.495 * [taylor]: Taking taylor expansion of PI in k 102.495 * [backup-simplify]: Simplify PI into PI 102.495 * [taylor]: Taking taylor expansion of n in k 102.495 * [backup-simplify]: Simplify n into n 102.495 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 102.495 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 102.495 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 102.496 * [backup-simplify]: Simplify (+ 1 0) into 1 102.496 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.496 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 102.497 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 102.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.497 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.497 * [taylor]: Taking taylor expansion of -1 in k 102.497 * [backup-simplify]: Simplify -1 into -1 102.497 * [taylor]: Taking taylor expansion of k in k 102.497 * [backup-simplify]: Simplify 0 into 0 102.497 * [backup-simplify]: Simplify 1 into 1 102.497 * [backup-simplify]: Simplify (/ -1 1) into -1 102.498 * [backup-simplify]: Simplify (sqrt 0) into 0 102.499 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.499 * [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))))) 102.499 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 102.499 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 102.499 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 102.499 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 102.499 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.499 * [taylor]: Taking taylor expansion of 1/2 in n 102.499 * [backup-simplify]: Simplify 1/2 into 1/2 102.499 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.499 * [taylor]: Taking taylor expansion of k in n 102.499 * [backup-simplify]: Simplify k into k 102.500 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.500 * [taylor]: Taking taylor expansion of 1 in n 102.500 * [backup-simplify]: Simplify 1 into 1 102.500 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 102.500 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 102.500 * [taylor]: Taking taylor expansion of -2 in n 102.500 * [backup-simplify]: Simplify -2 into -2 102.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.500 * [taylor]: Taking taylor expansion of PI in n 102.500 * [backup-simplify]: Simplify PI into PI 102.500 * [taylor]: Taking taylor expansion of n in n 102.500 * [backup-simplify]: Simplify 0 into 0 102.500 * [backup-simplify]: Simplify 1 into 1 102.500 * [backup-simplify]: Simplify (/ PI 1) into PI 102.501 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 102.502 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 102.502 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.502 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.504 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 102.505 * [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))))) 102.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.506 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.506 * [taylor]: Taking taylor expansion of -1 in n 102.506 * [backup-simplify]: Simplify -1 into -1 102.506 * [taylor]: Taking taylor expansion of k in n 102.506 * [backup-simplify]: Simplify k into k 102.506 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.506 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.506 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.507 * [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))) 102.507 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 102.507 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 102.507 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 102.507 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 102.507 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.507 * [taylor]: Taking taylor expansion of 1/2 in n 102.507 * [backup-simplify]: Simplify 1/2 into 1/2 102.507 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.507 * [taylor]: Taking taylor expansion of k in n 102.508 * [backup-simplify]: Simplify k into k 102.508 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.508 * [taylor]: Taking taylor expansion of 1 in n 102.508 * [backup-simplify]: Simplify 1 into 1 102.508 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 102.508 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 102.508 * [taylor]: Taking taylor expansion of -2 in n 102.508 * [backup-simplify]: Simplify -2 into -2 102.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 102.508 * [taylor]: Taking taylor expansion of PI in n 102.508 * [backup-simplify]: Simplify PI into PI 102.508 * [taylor]: Taking taylor expansion of n in n 102.508 * [backup-simplify]: Simplify 0 into 0 102.508 * [backup-simplify]: Simplify 1 into 1 102.508 * [backup-simplify]: Simplify (/ PI 1) into PI 102.509 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 102.510 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 102.510 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.510 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.513 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 102.514 * [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))))) 102.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.514 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.514 * [taylor]: Taking taylor expansion of -1 in n 102.514 * [backup-simplify]: Simplify -1 into -1 102.514 * [taylor]: Taking taylor expansion of k in n 102.514 * [backup-simplify]: Simplify k into k 102.514 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.514 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.514 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.515 * [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))) 102.516 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 102.516 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 102.516 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 102.516 * [taylor]: Taking taylor expansion of 1/2 in k 102.516 * [backup-simplify]: Simplify 1/2 into 1/2 102.516 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 102.516 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.516 * [taylor]: Taking taylor expansion of k in k 102.516 * [backup-simplify]: Simplify 0 into 0 102.516 * [backup-simplify]: Simplify 1 into 1 102.516 * [backup-simplify]: Simplify (/ 1 1) into 1 102.516 * [taylor]: Taking taylor expansion of 1 in k 102.516 * [backup-simplify]: Simplify 1 into 1 102.516 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 102.516 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 102.516 * [taylor]: Taking taylor expansion of (* -2 PI) in k 102.517 * [taylor]: Taking taylor expansion of -2 in k 102.517 * [backup-simplify]: Simplify -2 into -2 102.517 * [taylor]: Taking taylor expansion of PI in k 102.517 * [backup-simplify]: Simplify PI into PI 102.517 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 102.518 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 102.518 * [taylor]: Taking taylor expansion of (log n) in k 102.518 * [taylor]: Taking taylor expansion of n in k 102.518 * [backup-simplify]: Simplify n into n 102.518 * [backup-simplify]: Simplify (log n) into (log n) 102.519 * [backup-simplify]: Simplify (+ 1 0) into 1 102.519 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 102.520 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 102.521 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 102.522 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 102.523 * [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))))) 102.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.523 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.523 * [taylor]: Taking taylor expansion of -1 in k 102.523 * [backup-simplify]: Simplify -1 into -1 102.523 * [taylor]: Taking taylor expansion of k in k 102.523 * [backup-simplify]: Simplify 0 into 0 102.523 * [backup-simplify]: Simplify 1 into 1 102.524 * [backup-simplify]: Simplify (/ -1 1) into -1 102.524 * [backup-simplify]: Simplify (sqrt 0) into 0 102.525 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.527 * [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)))))) 102.528 * [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)))))) 102.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 102.529 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 102.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 102.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.532 * [backup-simplify]: Simplify (+ 0 0) into 0 102.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.535 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 102.537 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.538 * [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 0 102.538 * [taylor]: Taking taylor expansion of 0 in k 102.538 * [backup-simplify]: Simplify 0 into 0 102.538 * [backup-simplify]: Simplify 0 into 0 102.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.542 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.544 * [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))))))) 102.546 * [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))))))) 102.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.548 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 102.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 102.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.552 * [backup-simplify]: Simplify (+ 0 0) into 0 102.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 102.556 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 102.559 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.559 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.560 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 102.561 * [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 0 102.561 * [taylor]: Taking taylor expansion of 0 in k 102.561 * [backup-simplify]: Simplify 0 into 0 102.561 * [backup-simplify]: Simplify 0 into 0 102.561 * [backup-simplify]: Simplify 0 into 0 102.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.570 * [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))))))) 102.571 * [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))))))) 102.575 * [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)))))))))))) 102.576 * * * [progress]: simplifying candidates 102.576 * * * * [progress]: [ 1 / 675 ] simplifiying candidate # 102.576 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 102.576 * * [simplify]: iters left: 6 (11 enodes) 102.583 * * [simplify]: iters left: 5 (48 enodes) 102.598 * * [simplify]: iters left: 4 (77 enodes) 102.628 * * [simplify]: iters left: 3 (120 enodes) 102.660 * * [simplify]: iters left: 2 (218 enodes) 102.716 * * [simplify]: iters left: 1 (394 enodes) 102.871 * * [simplify]: Extracting #0: cost 1 inf + 0 102.871 * * [simplify]: Extracting #1: cost 3 inf + 0 102.871 * * [simplify]: Extracting #2: cost 30 inf + 0 102.871 * * [simplify]: Extracting #3: cost 110 inf + 1 102.872 * * [simplify]: Extracting #4: cost 180 inf + 176 102.873 * * [simplify]: Extracting #5: cost 171 inf + 1097 102.875 * * [simplify]: Extracting #6: cost 98 inf + 12491 102.882 * * [simplify]: Extracting #7: cost 30 inf + 42005 102.899 * * [simplify]: Extracting #8: cost 0 inf + 66187 102.923 * * [simplify]: Extracting #9: cost 0 inf + 64500 102.943 * * [simplify]: Extracting #10: cost 0 inf + 63753 102.957 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 102.958 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (log1p (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 102.958 * * * * [progress]: [ 2 / 675 ] simplifiying candidate # 102.958 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 102.958 * * [simplify]: iters left: 6 (11 enodes) 102.962 * * [simplify]: iters left: 5 (48 enodes) 102.973 * * [simplify]: iters left: 4 (77 enodes) 102.998 * * [simplify]: iters left: 3 (120 enodes) 103.046 * * [simplify]: iters left: 2 (218 enodes) 103.115 * * [simplify]: iters left: 1 (394 enodes) 103.273 * * [simplify]: Extracting #0: cost 1 inf + 0 103.273 * * [simplify]: Extracting #1: cost 3 inf + 0 103.274 * * [simplify]: Extracting #2: cost 30 inf + 0 103.274 * * [simplify]: Extracting #3: cost 110 inf + 1 103.275 * * [simplify]: Extracting #4: cost 180 inf + 176 103.276 * * [simplify]: Extracting #5: cost 171 inf + 1097 103.278 * * [simplify]: Extracting #6: cost 98 inf + 12531 103.293 * * [simplify]: Extracting #7: cost 30 inf + 42045 103.319 * * [simplify]: Extracting #8: cost 0 inf + 66227 103.348 * * [simplify]: Extracting #9: cost 0 inf + 64540 103.381 * * [simplify]: Extracting #10: cost 0 inf + 63793 103.406 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 103.406 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (expm1 (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.406 * * * * [progress]: [ 3 / 675 ] simplifiying candidate # 103.406 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 103.407 * * [simplify]: iters left: 6 (13 enodes) 103.411 * * [simplify]: iters left: 5 (54 enodes) 103.420 * * [simplify]: iters left: 4 (97 enodes) 103.447 * * [simplify]: iters left: 3 (252 enodes) 103.565 * * [simplify]: Extracting #0: cost 1 inf + 0 103.565 * * [simplify]: Extracting #1: cost 38 inf + 0 103.566 * * [simplify]: Extracting #2: cost 133 inf + 73 103.567 * * [simplify]: Extracting #3: cost 162 inf + 1645 103.578 * * [simplify]: Extracting #4: cost 64 inf + 21597 103.592 * * [simplify]: Extracting #5: cost 2 inf + 40621 103.609 * * [simplify]: Extracting #6: cost 0 inf + 41489 103.617 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 103.617 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.618 * * * * [progress]: [ 4 / 675 ] simplifiying candidate # 103.618 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 103.618 * * [simplify]: iters left: 6 (12 enodes) 103.623 * * [simplify]: iters left: 5 (52 enodes) 103.631 * * [simplify]: iters left: 4 (90 enodes) 103.649 * * [simplify]: iters left: 3 (209 enodes) 103.732 * * [simplify]: Extracting #0: cost 1 inf + 0 103.733 * * [simplify]: Extracting #1: cost 33 inf + 0 103.733 * * [simplify]: Extracting #2: cost 117 inf + 73 103.734 * * [simplify]: Extracting #3: cost 141 inf + 1307 103.738 * * [simplify]: Extracting #4: cost 79 inf + 11364 103.747 * * [simplify]: Extracting #5: cost 30 inf + 22914 103.759 * * [simplify]: Extracting #6: cost 0 inf + 32222 103.772 * * [simplify]: Extracting #7: cost 0 inf + 32142 103.788 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 103.788 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.788 * * * * [progress]: [ 5 / 675 ] simplifiying candidate # 103.788 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 103.788 * * [simplify]: iters left: 6 (11 enodes) 103.795 * * [simplify]: iters left: 5 (51 enodes) 103.808 * * [simplify]: iters left: 4 (97 enodes) 103.825 * * [simplify]: iters left: 3 (203 enodes) 103.919 * * [simplify]: Extracting #0: cost 1 inf + 0 103.920 * * [simplify]: Extracting #1: cost 35 inf + 0 103.920 * * [simplify]: Extracting #2: cost 119 inf + 2 103.921 * * [simplify]: Extracting #3: cost 150 inf + 702 103.924 * * [simplify]: Extracting #4: cost 96 inf + 7237 103.931 * * [simplify]: Extracting #5: cost 29 inf + 21171 103.942 * * [simplify]: Extracting #6: cost 6 inf + 26771 103.954 * * [simplify]: Extracting #7: cost 0 inf + 28612 103.965 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 103.965 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 103.966 * * * * [progress]: [ 6 / 675 ] simplifiying candidate # 103.966 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 103.966 * * [simplify]: iters left: 6 (11 enodes) 103.972 * * [simplify]: iters left: 5 (51 enodes) 103.990 * * [simplify]: iters left: 4 (97 enodes) 104.027 * * [simplify]: iters left: 3 (203 enodes) 104.098 * * [simplify]: Extracting #0: cost 1 inf + 0 104.098 * * [simplify]: Extracting #1: cost 35 inf + 0 104.099 * * [simplify]: Extracting #2: cost 119 inf + 2 104.099 * * [simplify]: Extracting #3: cost 150 inf + 702 104.100 * * [simplify]: Extracting #4: cost 96 inf + 7237 104.104 * * [simplify]: Extracting #5: cost 29 inf + 21171 104.112 * * [simplify]: Extracting #6: cost 6 inf + 26771 104.118 * * [simplify]: Extracting #7: cost 0 inf + 28612 104.125 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 104.125 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.125 * * * * [progress]: [ 7 / 675 ] simplifiying candidate # 104.125 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 104.126 * * [simplify]: iters left: 6 (6 enodes) 104.130 * * [simplify]: iters left: 5 (27 enodes) 104.140 * * [simplify]: iters left: 4 (47 enodes) 104.155 * * [simplify]: iters left: 3 (59 enodes) 104.173 * * [simplify]: iters left: 2 (79 enodes) 104.197 * * [simplify]: iters left: 1 (108 enodes) 104.223 * * [simplify]: Extracting #0: cost 1 inf + 0 104.223 * * [simplify]: Extracting #1: cost 10 inf + 0 104.224 * * [simplify]: Extracting #2: cost 19 inf + 3 104.224 * * [simplify]: Extracting #3: cost 15 inf + 131 104.225 * * [simplify]: Extracting #4: cost 1 inf + 1004 104.225 * * [simplify]: Extracting #5: cost 0 inf + 1086 104.226 * [simplify]: Simplified to (* 1/2 (- 1 k)) 104.226 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.226 * * * * [progress]: [ 8 / 675 ] simplifiying candidate # 104.227 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 104.227 * * [simplify]: iters left: 6 (6 enodes) 104.235 * * [simplify]: iters left: 5 (27 enodes) 104.245 * * [simplify]: iters left: 4 (47 enodes) 104.261 * * [simplify]: iters left: 3 (59 enodes) 104.279 * * [simplify]: iters left: 2 (79 enodes) 104.304 * * [simplify]: iters left: 1 (108 enodes) 104.331 * * [simplify]: Extracting #0: cost 1 inf + 0 104.331 * * [simplify]: Extracting #1: cost 10 inf + 0 104.331 * * [simplify]: Extracting #2: cost 19 inf + 3 104.332 * * [simplify]: Extracting #3: cost 15 inf + 131 104.332 * * [simplify]: Extracting #4: cost 1 inf + 1004 104.333 * * [simplify]: Extracting #5: cost 0 inf + 1086 104.334 * [simplify]: Simplified to (* 1/2 (- 1 k)) 104.334 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.334 * * * * [progress]: [ 9 / 675 ] simplifiying candidate # 104.335 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 104.335 * * [simplify]: iters left: 6 (6 enodes) 104.339 * * [simplify]: iters left: 5 (27 enodes) 104.350 * * [simplify]: iters left: 4 (47 enodes) 104.365 * * [simplify]: iters left: 3 (59 enodes) 104.388 * * [simplify]: iters left: 2 (79 enodes) 104.412 * * [simplify]: iters left: 1 (108 enodes) 104.440 * * [simplify]: Extracting #0: cost 1 inf + 0 104.440 * * [simplify]: Extracting #1: cost 10 inf + 0 104.440 * * [simplify]: Extracting #2: cost 19 inf + 3 104.440 * * [simplify]: Extracting #3: cost 15 inf + 131 104.441 * * [simplify]: Extracting #4: cost 1 inf + 1004 104.442 * * [simplify]: Extracting #5: cost 0 inf + 1086 104.443 * [simplify]: Simplified to (* 1/2 (- 1 k)) 104.443 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.443 * * * * [progress]: [ 10 / 675 ] simplifiying candidate # 104.443 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 104.444 * * [simplify]: iters left: 5 (8 enodes) 104.450 * * [simplify]: iters left: 4 (35 enodes) 104.463 * * [simplify]: iters left: 3 (63 enodes) 104.477 * * [simplify]: iters left: 2 (108 enodes) 104.497 * * [simplify]: iters left: 1 (162 enodes) 104.534 * * [simplify]: Extracting #0: cost 1 inf + 0 104.534 * * [simplify]: Extracting #1: cost 14 inf + 0 104.534 * * [simplify]: Extracting #2: cost 44 inf + 2 104.534 * * [simplify]: Extracting #3: cost 39 inf + 94 104.535 * * [simplify]: Extracting #4: cost 24 inf + 2779 104.536 * * [simplify]: Extracting #5: cost 3 inf + 12838 104.538 * * [simplify]: Extracting #6: cost 0 inf + 14804 104.540 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 104.540 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.540 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 104.540 * * [simplify]: iters left: 5 (8 enodes) 104.543 * * [simplify]: iters left: 4 (31 enodes) 104.549 * * [simplify]: iters left: 3 (51 enodes) 104.562 * * [simplify]: iters left: 2 (85 enodes) 104.577 * * [simplify]: iters left: 1 (152 enodes) 104.624 * * [simplify]: Extracting #0: cost 1 inf + 0 104.624 * * [simplify]: Extracting #1: cost 13 inf + 0 104.624 * * [simplify]: Extracting #2: cost 59 inf + 1 104.625 * * [simplify]: Extracting #3: cost 76 inf + 9 104.626 * * [simplify]: Extracting #4: cost 41 inf + 3303 104.629 * * [simplify]: Extracting #5: cost 16 inf + 10676 104.634 * * [simplify]: Extracting #6: cost 0 inf + 21028 104.640 * * [simplify]: Extracting #7: cost 0 inf + 20456 104.645 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 104.645 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 104.646 * * * * [progress]: [ 11 / 675 ] simplifiying candidate # 104.646 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 104.646 * * [simplify]: iters left: 6 (12 enodes) 104.653 * * [simplify]: iters left: 5 (51 enodes) 104.664 * * [simplify]: iters left: 4 (79 enodes) 104.677 * * [simplify]: iters left: 3 (118 enodes) 104.706 * * [simplify]: iters left: 2 (199 enodes) 104.745 * * [simplify]: iters left: 1 (360 enodes) 104.906 * * [simplify]: Extracting #0: cost 1 inf + 0 104.906 * * [simplify]: Extracting #1: cost 27 inf + 0 104.906 * * [simplify]: Extracting #2: cost 115 inf + 1 104.908 * * [simplify]: Extracting #3: cost 207 inf + 175 104.910 * * [simplify]: Extracting #4: cost 217 inf + 429 104.912 * * [simplify]: Extracting #5: cost 222 inf + 429 104.914 * * [simplify]: Extracting #6: cost 216 inf + 1004 104.923 * * [simplify]: Extracting #7: cost 107 inf + 27512 104.953 * * [simplify]: Extracting #8: cost 20 inf + 75005 104.985 * * [simplify]: Extracting #9: cost 0 inf + 91941 105.005 * * [simplify]: Extracting #10: cost 0 inf + 91455 105.028 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 105.029 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 105.029 * * * * [progress]: [ 12 / 675 ] simplifiying candidate # 105.029 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 105.029 * * [simplify]: iters left: 6 (11 enodes) 105.032 * * [simplify]: iters left: 5 (48 enodes) 105.040 * * [simplify]: iters left: 4 (74 enodes) 105.051 * * [simplify]: iters left: 3 (105 enodes) 105.070 * * [simplify]: iters left: 2 (161 enodes) 105.098 * * [simplify]: iters left: 1 (278 enodes) 105.260 * * [simplify]: Extracting #0: cost 1 inf + 0 105.260 * * [simplify]: Extracting #1: cost 29 inf + 0 105.260 * * [simplify]: Extracting #2: cost 105 inf + 1 105.261 * * [simplify]: Extracting #3: cost 135 inf + 174 105.261 * * [simplify]: Extracting #4: cost 134 inf + 388 105.262 * * [simplify]: Extracting #5: cost 131 inf + 556 105.264 * * [simplify]: Extracting #6: cost 91 inf + 9824 105.269 * * [simplify]: Extracting #7: cost 47 inf + 29501 105.283 * * [simplify]: Extracting #8: cost 4 inf + 67518 105.297 * * [simplify]: Extracting #9: cost 0 inf + 71195 105.313 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 105.313 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 105.314 * * * * [progress]: [ 13 / 675 ] simplifiying candidate # 105.314 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 105.314 * * [simplify]: iters left: 6 (14 enodes) 105.322 * * [simplify]: iters left: 5 (59 enodes) 105.343 * * [simplify]: iters left: 4 (104 enodes) 105.377 * * [simplify]: iters left: 3 (186 enodes) 105.458 * * [simplify]: iters left: 2 (434 enodes) 105.766 * * [simplify]: Extracting #0: cost 1 inf + 0 105.766 * * [simplify]: Extracting #1: cost 12 inf + 0 105.766 * * [simplify]: Extracting #2: cost 111 inf + 1 105.767 * * [simplify]: Extracting #3: cost 232 inf + 215 105.768 * * [simplify]: Extracting #4: cost 231 inf + 1718 105.775 * * [simplify]: Extracting #5: cost 169 inf + 16571 105.797 * * [simplify]: Extracting #6: cost 40 inf + 55999 105.823 * * [simplify]: Extracting #7: cost 18 inf + 67518 105.854 * * [simplify]: Extracting #8: cost 0 inf + 84772 105.886 * * [simplify]: Extracting #9: cost 0 inf + 84654 105.914 * * [simplify]: Extracting #10: cost 0 inf + 84576 105.930 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 105.930 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 105.930 * * * * [progress]: [ 14 / 675 ] simplifiying candidate # 105.930 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 105.931 * * [simplify]: iters left: 6 (13 enodes) 105.935 * * [simplify]: iters left: 5 (52 enodes) 105.948 * * [simplify]: iters left: 4 (82 enodes) 105.976 * * [simplify]: iters left: 3 (136 enodes) 106.025 * * [simplify]: iters left: 2 (272 enodes) 106.117 * * [simplify]: Extracting #0: cost 1 inf + 0 106.117 * * [simplify]: Extracting #1: cost 12 inf + 0 106.118 * * [simplify]: Extracting #2: cost 87 inf + 1 106.118 * * [simplify]: Extracting #3: cost 151 inf + 6 106.119 * * [simplify]: Extracting #4: cost 144 inf + 992 106.120 * * [simplify]: Extracting #5: cost 131 inf + 2339 106.124 * * [simplify]: Extracting #6: cost 59 inf + 21693 106.143 * * [simplify]: Extracting #7: cost 9 inf + 46808 106.162 * * [simplify]: Extracting #8: cost 0 inf + 55030 106.181 * * [simplify]: Extracting #9: cost 0 inf + 54610 106.200 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 106.200 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.200 * * * * [progress]: [ 15 / 675 ] simplifiying candidate # 106.201 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 106.201 * * [simplify]: iters left: 6 (12 enodes) 106.208 * * [simplify]: iters left: 5 (47 enodes) 106.220 * * [simplify]: iters left: 4 (83 enodes) 106.233 * * [simplify]: iters left: 3 (123 enodes) 106.268 * * [simplify]: iters left: 2 (221 enodes) 106.350 * * [simplify]: iters left: 1 (477 enodes) 106.775 * * [simplify]: Extracting #0: cost 1 inf + 0 106.775 * * [simplify]: Extracting #1: cost 35 inf + 0 106.776 * * [simplify]: Extracting #2: cost 138 inf + 1 106.778 * * [simplify]: Extracting #3: cost 228 inf + 136 106.780 * * [simplify]: Extracting #4: cost 229 inf + 431 106.783 * * [simplify]: Extracting #5: cost 217 inf + 2424 106.794 * * [simplify]: Extracting #6: cost 111 inf + 29660 106.823 * * [simplify]: Extracting #7: cost 11 inf + 91583 106.851 * * [simplify]: Extracting #8: cost 0 inf + 104455 106.869 * * [simplify]: Extracting #9: cost 0 inf + 104205 106.904 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 106.905 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 106.905 * * * * [progress]: [ 16 / 675 ] simplifiying candidate # 106.905 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 106.905 * * [simplify]: iters left: 6 (13 enodes) 106.910 * * [simplify]: iters left: 5 (52 enodes) 106.918 * * [simplify]: iters left: 4 (80 enodes) 106.934 * * [simplify]: iters left: 3 (128 enodes) 106.961 * * [simplify]: iters left: 2 (246 enodes) 107.033 * * [simplify]: iters left: 1 (493 enodes) 107.435 * * [simplify]: Extracting #0: cost 1 inf + 0 107.435 * * [simplify]: Extracting #1: cost 31 inf + 0 107.436 * * [simplify]: Extracting #2: cost 206 inf + 1 107.440 * * [simplify]: Extracting #3: cost 425 inf + 2480 107.446 * * [simplify]: Extracting #4: cost 372 inf + 13330 107.453 * * [simplify]: Extracting #5: cost 360 inf + 14710 107.472 * * [simplify]: Extracting #6: cost 162 inf + 63449 107.518 * * [simplify]: Extracting #7: cost 30 inf + 126334 107.556 * * [simplify]: Extracting #8: cost 1 inf + 157531 107.593 * * [simplify]: Extracting #9: cost 0 inf + 158689 107.648 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 107.648 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 107.649 * * * * [progress]: [ 17 / 675 ] simplifiying candidate # 107.649 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 107.649 * * [simplify]: iters left: 6 (12 enodes) 107.653 * * [simplify]: iters left: 5 (47 enodes) 107.661 * * [simplify]: iters left: 4 (71 enodes) 107.672 * * [simplify]: iters left: 3 (109 enodes) 107.691 * * [simplify]: iters left: 2 (192 enodes) 107.740 * * [simplify]: iters left: 1 (370 enodes) 107.997 * * [simplify]: Extracting #0: cost 1 inf + 0 107.997 * * [simplify]: Extracting #1: cost 29 inf + 0 107.998 * * [simplify]: Extracting #2: cost 139 inf + 1 107.999 * * [simplify]: Extracting #3: cost 266 inf + 174 108.002 * * [simplify]: Extracting #4: cost 252 inf + 1981 108.005 * * [simplify]: Extracting #5: cost 219 inf + 5566 108.009 * * [simplify]: Extracting #6: cost 214 inf + 6097 108.020 * * [simplify]: Extracting #7: cost 116 inf + 28010 108.046 * * [simplify]: Extracting #8: cost 19 inf + 79263 108.075 * * [simplify]: Extracting #9: cost 0 inf + 97892 108.092 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 108.092 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 108.092 * * * * [progress]: [ 18 / 675 ] simplifiying candidate # 108.092 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 108.092 * * [simplify]: iters left: 6 (11 enodes) 108.099 * * [simplify]: iters left: 5 (42 enodes) 108.108 * * [simplify]: iters left: 4 (64 enodes) 108.129 * * [simplify]: iters left: 3 (98 enodes) 108.156 * * [simplify]: iters left: 2 (156 enodes) 108.185 * * [simplify]: iters left: 1 (280 enodes) 108.326 * * [simplify]: Extracting #0: cost 1 inf + 0 108.326 * * [simplify]: Extracting #1: cost 30 inf + 0 108.327 * * [simplify]: Extracting #2: cost 111 inf + 1 108.328 * * [simplify]: Extracting #3: cost 134 inf + 133 108.329 * * [simplify]: Extracting #4: cost 129 inf + 429 108.331 * * [simplify]: Extracting #5: cost 117 inf + 1953 108.338 * * [simplify]: Extracting #6: cost 58 inf + 26132 108.347 * * [simplify]: Extracting #7: cost 8 inf + 66348 108.357 * * [simplify]: Extracting #8: cost 0 inf + 71787 108.370 * * [simplify]: Extracting #9: cost 0 inf + 71708 108.382 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 108.383 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 108.383 * * * * [progress]: [ 19 / 675 ] simplifiying candidate # 108.383 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 108.383 * * [simplify]: iters left: 6 (10 enodes) 108.386 * * [simplify]: iters left: 5 (41 enodes) 108.394 * * [simplify]: iters left: 4 (66 enodes) 108.409 * * [simplify]: iters left: 3 (116 enodes) 108.451 * * [simplify]: iters left: 2 (219 enodes) 108.540 * * [simplify]: Extracting #0: cost 1 inf + 0 108.540 * * [simplify]: Extracting #1: cost 12 inf + 0 108.540 * * [simplify]: Extracting #2: cost 69 inf + 1 108.541 * * [simplify]: Extracting #3: cost 115 inf + 6 108.542 * * [simplify]: Extracting #4: cost 104 inf + 1247 108.546 * * [simplify]: Extracting #5: cost 56 inf + 11061 108.555 * * [simplify]: Extracting #6: cost 4 inf + 34062 108.566 * * [simplify]: Extracting #7: cost 0 inf + 35882 108.578 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 108.578 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 108.579 * * * * [progress]: [ 20 / 675 ] simplifiying candidate # 108.579 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 108.579 * * [simplify]: iters left: 5 (9 enodes) 108.585 * * [simplify]: iters left: 4 (36 enodes) 108.596 * * [simplify]: iters left: 3 (57 enodes) 108.607 * * [simplify]: iters left: 2 (96 enodes) 108.628 * * [simplify]: iters left: 1 (171 enodes) 108.688 * * [simplify]: Extracting #0: cost 1 inf + 0 108.688 * * [simplify]: Extracting #1: cost 12 inf + 0 108.688 * * [simplify]: Extracting #2: cost 50 inf + 1 108.689 * * [simplify]: Extracting #3: cost 75 inf + 6 108.690 * * [simplify]: Extracting #4: cost 59 inf + 1253 108.692 * * [simplify]: Extracting #5: cost 25 inf + 8058 108.698 * * [simplify]: Extracting #6: cost 3 inf + 20149 108.704 * * [simplify]: Extracting #7: cost 0 inf + 22178 108.707 * * [simplify]: Extracting #8: cost 0 inf + 22007 108.711 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 108.711 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 108.711 * * * * [progress]: [ 21 / 675 ] simplifiying candidate # 108.711 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 108.711 * * [simplify]: iters left: 5 (8 enodes) 108.714 * * [simplify]: iters left: 4 (34 enodes) 108.723 * * [simplify]: iters left: 3 (64 enodes) 108.746 * * [simplify]: iters left: 2 (105 enodes) 108.782 * * [simplify]: iters left: 1 (177 enodes) 108.836 * * [simplify]: Extracting #0: cost 1 inf + 0 108.836 * * [simplify]: Extracting #1: cost 17 inf + 0 108.836 * * [simplify]: Extracting #2: cost 34 inf + 46 108.836 * * [simplify]: Extracting #3: cost 26 inf + 466 108.837 * * [simplify]: Extracting #4: cost 11 inf + 6543 108.838 * * [simplify]: Extracting #5: cost 1 inf + 10885 108.839 * * [simplify]: Extracting #6: cost 0 inf + 11179 108.841 * [simplify]: Simplified to (* (* PI 2) n) 108.841 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 108.841 * * * * [progress]: [ 22 / 675 ] simplifiying candidate # 108.841 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 108.841 * * [simplify]: iters left: 6 (14 enodes) 108.846 * * [simplify]: iters left: 5 (54 enodes) 108.865 * * [simplify]: iters left: 4 (79 enodes) 108.879 * * [simplify]: iters left: 3 (128 enodes) 108.911 * * [simplify]: iters left: 2 (254 enodes) 108.984 * * [simplify]: Extracting #0: cost 1 inf + 0 108.984 * * [simplify]: Extracting #1: cost 12 inf + 0 108.984 * * [simplify]: Extracting #2: cost 76 inf + 1 108.985 * * [simplify]: Extracting #3: cost 137 inf + 48 108.987 * * [simplify]: Extracting #4: cost 116 inf + 3375 108.989 * * [simplify]: Extracting #5: cost 98 inf + 5725 108.994 * * [simplify]: Extracting #6: cost 52 inf + 17838 109.005 * * [simplify]: Extracting #7: cost 11 inf + 39025 109.017 * * [simplify]: Extracting #8: cost 0 inf + 49393 109.025 * * [simplify]: Extracting #9: cost 0 inf + 49155 109.033 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 109.033 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 109.033 * * * * [progress]: [ 23 / 675 ] simplifiying candidate # 109.034 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 109.034 * * [simplify]: iters left: 6 (13 enodes) 109.038 * * [simplify]: iters left: 5 (49 enodes) 109.049 * * [simplify]: iters left: 4 (70 enodes) 109.060 * * [simplify]: iters left: 3 (109 enodes) 109.092 * * [simplify]: iters left: 2 (197 enodes) 109.170 * * [simplify]: iters left: 1 (372 enodes) 109.368 * * [simplify]: Extracting #0: cost 1 inf + 0 109.369 * * [simplify]: Extracting #1: cost 28 inf + 0 109.369 * * [simplify]: Extracting #2: cost 152 inf + 1 109.370 * * [simplify]: Extracting #3: cost 247 inf + 259 109.372 * * [simplify]: Extracting #4: cost 244 inf + 1120 109.376 * * [simplify]: Extracting #5: cost 183 inf + 9127 109.389 * * [simplify]: Extracting #6: cost 74 inf + 36664 109.418 * * [simplify]: Extracting #7: cost 11 inf + 84127 109.451 * * [simplify]: Extracting #8: cost 0 inf + 93949 109.483 * * [simplify]: Extracting #9: cost 0 inf + 93818 109.499 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 109.499 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 109.499 * * * * [progress]: [ 24 / 675 ] simplifiying candidate # 109.499 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 109.499 * * [simplify]: iters left: 6 (12 enodes) 109.505 * * [simplify]: iters left: 5 (44 enodes) 109.512 * * [simplify]: iters left: 4 (63 enodes) 109.533 * * [simplify]: iters left: 3 (96 enodes) 109.563 * * [simplify]: iters left: 2 (161 enodes) 109.597 * * [simplify]: iters left: 1 (290 enodes) 109.737 * * [simplify]: Extracting #0: cost 1 inf + 0 109.737 * * [simplify]: Extracting #1: cost 27 inf + 0 109.738 * * [simplify]: Extracting #2: cost 97 inf + 1 109.738 * * [simplify]: Extracting #3: cost 133 inf + 215 109.740 * * [simplify]: Extracting #4: cost 124 inf + 747 109.743 * * [simplify]: Extracting #5: cost 77 inf + 10175 109.753 * * [simplify]: Extracting #6: cost 23 inf + 42776 109.771 * * [simplify]: Extracting #7: cost 0 inf + 64326 109.789 * * [simplify]: Extracting #8: cost 0 inf + 64006 109.806 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 109.806 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 109.806 * * * * [progress]: [ 25 / 675 ] simplifiying candidate # 109.810 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 109.811 * * [simplify]: iters left: 6 (13 enodes) 109.817 * * [simplify]: iters left: 5 (51 enodes) 109.825 * * [simplify]: iters left: 4 (76 enodes) 109.838 * * [simplify]: iters left: 3 (124 enodes) 109.868 * * [simplify]: iters left: 2 (250 enodes) 109.963 * * [simplify]: Extracting #0: cost 1 inf + 0 109.963 * * [simplify]: Extracting #1: cost 13 inf + 0 109.963 * * [simplify]: Extracting #2: cost 76 inf + 1 109.964 * * [simplify]: Extracting #3: cost 136 inf + 209 109.966 * * [simplify]: Extracting #4: cost 119 inf + 3091 109.968 * * [simplify]: Extracting #5: cost 99 inf + 5805 109.974 * * [simplify]: Extracting #6: cost 54 inf + 16793 109.984 * * [simplify]: Extracting #7: cost 8 inf + 41109 109.991 * * [simplify]: Extracting #8: cost 0 inf + 48689 109.999 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 109.999 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 109.999 * * * * [progress]: [ 26 / 675 ] simplifiying candidate # 109.999 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 109.999 * * [simplify]: iters left: 6 (12 enodes) 110.003 * * [simplify]: iters left: 5 (46 enodes) 110.011 * * [simplify]: iters left: 4 (67 enodes) 110.427 * * [simplify]: iters left: 3 (106 enodes) 110.465 * * [simplify]: iters left: 2 (197 enodes) 110.508 * * [simplify]: iters left: 1 (376 enodes) 110.720 * * [simplify]: Extracting #0: cost 1 inf + 0 110.720 * * [simplify]: Extracting #1: cost 30 inf + 0 110.721 * * [simplify]: Extracting #2: cost 148 inf + 1 110.721 * * [simplify]: Extracting #3: cost 256 inf + 341 110.723 * * [simplify]: Extracting #4: cost 235 inf + 3076 110.725 * * [simplify]: Extracting #5: cost 217 inf + 4830 110.729 * * [simplify]: Extracting #6: cost 116 inf + 26595 110.743 * * [simplify]: Extracting #7: cost 17 inf + 84107 110.769 * * [simplify]: Extracting #8: cost 0 inf + 101004 110.803 * * [simplify]: Extracting #9: cost 0 inf + 100884 110.837 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 110.837 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 110.837 * * * * [progress]: [ 27 / 675 ] simplifiying candidate # 110.838 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 110.838 * * [simplify]: iters left: 6 (11 enodes) 110.841 * * [simplify]: iters left: 5 (41 enodes) 110.847 * * [simplify]: iters left: 4 (60 enodes) 110.857 * * [simplify]: iters left: 3 (94 enodes) 110.875 * * [simplify]: iters left: 2 (156 enodes) 110.905 * * [simplify]: iters left: 1 (287 enodes) 111.079 * * [simplify]: Extracting #0: cost 1 inf + 0 111.079 * * [simplify]: Extracting #1: cost 29 inf + 0 111.080 * * [simplify]: Extracting #2: cost 101 inf + 1 111.081 * * [simplify]: Extracting #3: cost 132 inf + 216 111.082 * * [simplify]: Extracting #4: cost 124 inf + 674 111.086 * * [simplify]: Extracting #5: cost 69 inf + 12965 111.100 * * [simplify]: Extracting #6: cost 8 inf + 57194 111.123 * * [simplify]: Extracting #7: cost 0 inf + 65282 111.140 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 111.140 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.140 * * * * [progress]: [ 28 / 675 ] simplifiying candidate # 111.141 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 111.141 * * [simplify]: iters left: 6 (10 enodes) 111.144 * * [simplify]: iters left: 5 (41 enodes) 111.151 * * [simplify]: iters left: 4 (66 enodes) 111.163 * * [simplify]: iters left: 3 (116 enodes) 111.203 * * [simplify]: iters left: 2 (219 enodes) 111.306 * * [simplify]: Extracting #0: cost 1 inf + 0 111.306 * * [simplify]: Extracting #1: cost 12 inf + 0 111.306 * * [simplify]: Extracting #2: cost 69 inf + 1 111.307 * * [simplify]: Extracting #3: cost 115 inf + 6 111.308 * * [simplify]: Extracting #4: cost 104 inf + 1247 111.311 * * [simplify]: Extracting #5: cost 56 inf + 11061 111.321 * * [simplify]: Extracting #6: cost 4 inf + 34062 111.332 * * [simplify]: Extracting #7: cost 0 inf + 35882 111.344 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 111.345 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.345 * * * * [progress]: [ 29 / 675 ] simplifiying candidate # 111.345 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 111.345 * * [simplify]: iters left: 5 (9 enodes) 111.351 * * [simplify]: iters left: 4 (36 enodes) 111.358 * * [simplify]: iters left: 3 (57 enodes) 111.368 * * [simplify]: iters left: 2 (96 enodes) 111.389 * * [simplify]: iters left: 1 (171 enodes) 111.464 * * [simplify]: Extracting #0: cost 1 inf + 0 111.464 * * [simplify]: Extracting #1: cost 12 inf + 0 111.464 * * [simplify]: Extracting #2: cost 50 inf + 1 111.465 * * [simplify]: Extracting #3: cost 75 inf + 6 111.466 * * [simplify]: Extracting #4: cost 59 inf + 1253 111.468 * * [simplify]: Extracting #5: cost 25 inf + 8058 111.474 * * [simplify]: Extracting #6: cost 3 inf + 20149 111.481 * * [simplify]: Extracting #7: cost 0 inf + 22178 111.488 * * [simplify]: Extracting #8: cost 0 inf + 22007 111.494 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 111.495 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.495 * * * * [progress]: [ 30 / 675 ] simplifiying candidate # 111.495 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 111.495 * * [simplify]: iters left: 5 (8 enodes) 111.501 * * [simplify]: iters left: 4 (34 enodes) 111.515 * * [simplify]: iters left: 3 (64 enodes) 111.537 * * [simplify]: iters left: 2 (105 enodes) 111.574 * * [simplify]: iters left: 1 (177 enodes) 111.631 * * [simplify]: Extracting #0: cost 1 inf + 0 111.631 * * [simplify]: Extracting #1: cost 17 inf + 0 111.631 * * [simplify]: Extracting #2: cost 34 inf + 46 111.631 * * [simplify]: Extracting #3: cost 26 inf + 466 111.632 * * [simplify]: Extracting #4: cost 11 inf + 6543 111.633 * * [simplify]: Extracting #5: cost 1 inf + 10885 111.635 * * [simplify]: Extracting #6: cost 0 inf + 11179 111.636 * [simplify]: Simplified to (* (* PI 2) n) 111.636 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.636 * * * * [progress]: [ 31 / 675 ] simplifiying candidate # 111.637 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 111.637 * * [simplify]: iters left: 5 (7 enodes) 111.639 * * [simplify]: iters left: 4 (30 enodes) 111.646 * * [simplify]: iters left: 3 (58 enodes) 111.669 * * [simplify]: iters left: 2 (99 enodes) 111.705 * * [simplify]: iters left: 1 (171 enodes) 111.762 * * [simplify]: Extracting #0: cost 1 inf + 0 111.762 * * [simplify]: Extracting #1: cost 18 inf + 0 111.763 * * [simplify]: Extracting #2: cost 35 inf + 46 111.763 * * [simplify]: Extracting #3: cost 25 inf + 1347 111.763 * * [simplify]: Extracting #4: cost 14 inf + 5442 111.765 * * [simplify]: Extracting #5: cost 7 inf + 7909 111.766 * * [simplify]: Extracting #6: cost 0 inf + 11764 111.768 * [simplify]: Simplified to (* (* PI 2) n) 111.768 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.768 * * * * [progress]: [ 32 / 675 ] simplifiying candidate # 111.768 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 111.768 * * [simplify]: iters left: 5 (9 enodes) 111.771 * * [simplify]: iters left: 4 (38 enodes) 111.779 * * [simplify]: iters left: 3 (64 enodes) 111.800 * * [simplify]: iters left: 2 (102 enodes) 111.840 * * [simplify]: iters left: 1 (175 enodes) 111.890 * * [simplify]: Extracting #0: cost 1 inf + 0 111.890 * * [simplify]: Extracting #1: cost 13 inf + 0 111.890 * * [simplify]: Extracting #2: cost 60 inf + 1 111.891 * * [simplify]: Extracting #3: cost 84 inf + 132 111.892 * * [simplify]: Extracting #4: cost 51 inf + 3728 111.893 * * [simplify]: Extracting #5: cost 20 inf + 11918 111.897 * * [simplify]: Extracting #6: cost 0 inf + 24443 111.900 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 111.900 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 111.901 * * * * [progress]: [ 33 / 675 ] simplifiying candidate # 111.901 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 111.901 * * [simplify]: iters left: 5 (7 enodes) 111.903 * * [simplify]: iters left: 4 (32 enodes) 111.910 * * [simplify]: iters left: 3 (57 enodes) 111.928 * * [simplify]: iters left: 2 (90 enodes) 111.967 * * [simplify]: iters left: 1 (170 enodes) 112.033 * * [simplify]: Extracting #0: cost 1 inf + 0 112.034 * * [simplify]: Extracting #1: cost 13 inf + 0 112.034 * * [simplify]: Extracting #2: cost 54 inf + 2 112.034 * * [simplify]: Extracting #3: cost 89 inf + 6 112.034 * * [simplify]: Extracting #4: cost 78 inf + 1344 112.036 * * [simplify]: Extracting #5: cost 20 inf + 14664 112.040 * * [simplify]: Extracting #6: cost 1 inf + 22045 112.044 * * [simplify]: Extracting #7: cost 0 inf + 21300 112.048 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 112.048 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.048 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 112.048 * * [simplify]: iters left: 5 (8 enodes) 112.051 * * [simplify]: iters left: 4 (36 enodes) 112.061 * * [simplify]: iters left: 3 (57 enodes) 112.084 * * [simplify]: iters left: 2 (92 enodes) 112.106 * * [simplify]: iters left: 1 (188 enodes) 112.162 * * [simplify]: Extracting #0: cost 1 inf + 0 112.162 * * [simplify]: Extracting #1: cost 13 inf + 0 112.162 * * [simplify]: Extracting #2: cost 57 inf + 1 112.163 * * [simplify]: Extracting #3: cost 92 inf + 6 112.164 * * [simplify]: Extracting #4: cost 87 inf + 1221 112.167 * * [simplify]: Extracting #5: cost 34 inf + 9913 112.172 * * [simplify]: Extracting #6: cost 17 inf + 13054 112.178 * * [simplify]: Extracting #7: cost 0 inf + 24512 112.186 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 112.186 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.186 * * * * [progress]: [ 34 / 675 ] simplifiying candidate # 112.186 * * * * [progress]: [ 35 / 675 ] simplifiying candidate # 112.186 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 112.186 * * [simplify]: iters left: 6 (11 enodes) 112.197 * * [simplify]: iters left: 5 (50 enodes) 112.214 * * [simplify]: iters left: 4 (97 enodes) 112.247 * * [simplify]: iters left: 3 (196 enodes) 112.329 * * [simplify]: Extracting #0: cost 1 inf + 0 112.329 * * [simplify]: Extracting #1: cost 49 inf + 0 112.330 * * [simplify]: Extracting #2: cost 135 inf + 1 112.331 * * [simplify]: Extracting #3: cost 177 inf + 639 112.335 * * [simplify]: Extracting #4: cost 133 inf + 7119 112.339 * * [simplify]: Extracting #5: cost 24 inf + 30350 112.346 * * [simplify]: Extracting #6: cost 0 inf + 37308 112.352 * * [simplify]: Extracting #7: cost 0 inf + 37228 112.358 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) 112.358 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.358 * * * * [progress]: [ 36 / 675 ] simplifiying candidate # 112.359 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 112.359 * * [simplify]: iters left: 6 (11 enodes) 112.365 * * [simplify]: iters left: 5 (48 enodes) 112.380 * * [simplify]: iters left: 4 (79 enodes) 112.393 * * [simplify]: iters left: 3 (127 enodes) 112.424 * * [simplify]: iters left: 2 (246 enodes) 112.489 * * [simplify]: iters left: 1 (492 enodes) 112.636 * * [simplify]: Extracting #0: cost 1 inf + 0 112.636 * * [simplify]: Extracting #1: cost 26 inf + 0 112.636 * * [simplify]: Extracting #2: cost 138 inf + 0 112.638 * * [simplify]: Extracting #3: cost 277 inf + 4 112.640 * * [simplify]: Extracting #4: cost 299 inf + 182 112.643 * * [simplify]: Extracting #5: cost 287 inf + 1223 112.651 * * [simplify]: Extracting #6: cost 197 inf + 26978 112.678 * * [simplify]: Extracting #7: cost 51 inf + 116657 112.723 * * [simplify]: Extracting #8: cost 1 inf + 155122 112.766 * * [simplify]: Extracting #9: cost 0 inf + 152768 112.810 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 112.810 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (log (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 112.810 * * * * [progress]: [ 37 / 675 ] simplifiying candidate # 112.810 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 112.811 * * [simplify]: iters left: 6 (12 enodes) 112.818 * * [simplify]: iters left: 5 (51 enodes) 112.836 * * [simplify]: iters left: 4 (84 enodes) 112.857 * * [simplify]: iters left: 3 (127 enodes) 112.882 * * [simplify]: iters left: 2 (212 enodes) 112.934 * * [simplify]: iters left: 1 (389 enodes) 113.141 * * [simplify]: Extracting #0: cost 1 inf + 0 113.142 * * [simplify]: Extracting #1: cost 3 inf + 0 113.142 * * [simplify]: Extracting #2: cost 5 inf + 0 113.142 * * [simplify]: Extracting #3: cost 34 inf + 0 113.142 * * [simplify]: Extracting #4: cost 117 inf + 1 113.143 * * [simplify]: Extracting #5: cost 168 inf + 176 113.143 * * [simplify]: Extracting #6: cost 165 inf + 767 113.146 * * [simplify]: Extracting #7: cost 98 inf + 11266 113.153 * * [simplify]: Extracting #8: cost 10 inf + 59756 113.166 * * [simplify]: Extracting #9: cost 0 inf + 68459 113.178 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 113.179 * [simplify]: Simplified (2 1 1 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 (sqrt k))) (sqrt (sqrt k)))) 113.179 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 113.179 * * [simplify]: iters left: 6 (11 enodes) 113.186 * * [simplify]: iters left: 5 (48 enodes) 113.202 * * [simplify]: iters left: 4 (77 enodes) 113.215 * * [simplify]: iters left: 3 (120 enodes) 113.244 * * [simplify]: iters left: 2 (218 enodes) 113.290 * * [simplify]: iters left: 1 (394 enodes) 113.437 * * [simplify]: Extracting #0: cost 1 inf + 0 113.437 * * [simplify]: Extracting #1: cost 3 inf + 0 113.437 * * [simplify]: Extracting #2: cost 30 inf + 0 113.437 * * [simplify]: Extracting #3: cost 110 inf + 1 113.438 * * [simplify]: Extracting #4: cost 180 inf + 176 113.439 * * [simplify]: Extracting #5: cost 171 inf + 1097 113.441 * * [simplify]: Extracting #6: cost 98 inf + 12511 113.449 * * [simplify]: Extracting #7: cost 30 inf + 42025 113.470 * * [simplify]: Extracting #8: cost 0 inf + 66207 113.489 * * [simplify]: Extracting #9: cost 0 inf + 64520 113.504 * * [simplify]: Extracting #10: cost 0 inf + 63773 113.530 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 113.530 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 113.530 * * * * [progress]: [ 38 / 675 ] simplifiying candidate # 113.531 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 113.531 * * [simplify]: iters left: 6 (12 enodes) 113.538 * * [simplify]: iters left: 5 (54 enodes) 113.554 * * [simplify]: iters left: 4 (107 enodes) 113.578 * * [simplify]: iters left: 3 (222 enodes) 113.650 * * [simplify]: iters left: 2 (475 enodes) 114.015 * * [simplify]: Extracting #0: cost 1 inf + 0 114.015 * * [simplify]: Extracting #1: cost 48 inf + 0 114.016 * * [simplify]: Extracting #2: cost 144 inf + 3 114.017 * * [simplify]: Extracting #3: cost 196 inf + 5 114.020 * * [simplify]: Extracting #4: cost 196 inf + 1684 114.032 * * [simplify]: Extracting #5: cost 116 inf + 31527 114.051 * * [simplify]: Extracting #6: cost 23 inf + 107445 114.075 * * [simplify]: Extracting #7: cost 0 inf + 127082 114.111 * * [simplify]: Extracting #8: cost 0 inf + 125924 114.130 * * [simplify]: Extracting #9: cost 0 inf + 125846 114.167 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 114.167 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 114.168 * * * * [progress]: [ 39 / 675 ] simplifiying candidate # 114.168 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 114.168 * * [simplify]: iters left: 6 (11 enodes) 114.175 * * [simplify]: iters left: 5 (48 enodes) 114.191 * * [simplify]: iters left: 4 (78 enodes) 114.216 * * [simplify]: iters left: 3 (122 enodes) 114.262 * * [simplify]: iters left: 2 (223 enodes) 114.327 * * [simplify]: iters left: 1 (410 enodes) 114.498 * * [simplify]: Extracting #0: cost 1 inf + 0 114.498 * * [simplify]: Extracting #1: cost 4 inf + 0 114.498 * * [simplify]: Extracting #2: cost 36 inf + 0 114.499 * * [simplify]: Extracting #3: cost 131 inf + 1 114.500 * * [simplify]: Extracting #4: cost 175 inf + 220 114.502 * * [simplify]: Extracting #5: cost 160 inf + 1914 114.507 * * [simplify]: Extracting #6: cost 84 inf + 11925 114.521 * * [simplify]: Extracting #7: cost 27 inf + 40490 114.543 * * [simplify]: Extracting #8: cost 0 inf + 68673 114.566 * * [simplify]: Extracting #9: cost 0 inf + 68313 114.588 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 114.588 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 114.588 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 114.588 * * [simplify]: iters left: 6 (11 enodes) 114.595 * * [simplify]: iters left: 5 (48 enodes) 114.616 * * [simplify]: iters left: 4 (78 enodes) 114.637 * * [simplify]: iters left: 3 (122 enodes) 114.663 * * [simplify]: iters left: 2 (223 enodes) 114.709 * * [simplify]: iters left: 1 (410 enodes) 114.883 * * [simplify]: Extracting #0: cost 1 inf + 0 114.883 * * [simplify]: Extracting #1: cost 4 inf + 0 114.883 * * [simplify]: Extracting #2: cost 36 inf + 0 114.884 * * [simplify]: Extracting #3: cost 131 inf + 1 114.886 * * [simplify]: Extracting #4: cost 175 inf + 220 114.887 * * [simplify]: Extracting #5: cost 160 inf + 1914 114.892 * * [simplify]: Extracting #6: cost 84 inf + 11925 114.906 * * [simplify]: Extracting #7: cost 27 inf + 40490 114.928 * * [simplify]: Extracting #8: cost 0 inf + 68673 114.942 * * [simplify]: Extracting #9: cost 0 inf + 68313 114.954 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 114.954 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 114.954 * * * * [progress]: [ 40 / 675 ] simplifiying candidate # 114.954 * * * * [progress]: [ 41 / 675 ] simplifiying candidate # 114.954 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 114.954 * * [simplify]: iters left: 6 (11 enodes) 114.958 * * [simplify]: iters left: 5 (51 enodes) 114.968 * * [simplify]: iters left: 4 (87 enodes) 115.001 * * [simplify]: iters left: 3 (146 enodes) 115.053 * * [simplify]: iters left: 2 (263 enodes) 115.123 * * [simplify]: iters left: 1 (487 enodes) 115.409 * * [simplify]: Extracting #0: cost 1 inf + 0 115.409 * * [simplify]: Extracting #1: cost 26 inf + 0 115.410 * * [simplify]: Extracting #2: cost 109 inf + 1 115.411 * * [simplify]: Extracting #3: cost 197 inf + 178 115.412 * * [simplify]: Extracting #4: cost 191 inf + 1310 115.415 * * [simplify]: Extracting #5: cost 96 inf + 14316 115.422 * * [simplify]: Extracting #6: cost 32 inf + 39237 115.433 * * [simplify]: Extracting #7: cost 0 inf + 65358 115.447 * * [simplify]: Extracting #8: cost 0 inf + 64077 115.458 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 115.458 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 115.458 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 115.459 * * [simplify]: iters left: 6 (11 enodes) 115.466 * * [simplify]: iters left: 5 (51 enodes) 115.475 * * [simplify]: iters left: 4 (87 enodes) 115.490 * * [simplify]: iters left: 3 (146 enodes) 115.528 * * [simplify]: iters left: 2 (263 enodes) 115.597 * * [simplify]: iters left: 1 (487 enodes) 115.823 * * [simplify]: Extracting #0: cost 1 inf + 0 115.824 * * [simplify]: Extracting #1: cost 26 inf + 0 115.824 * * [simplify]: Extracting #2: cost 109 inf + 1 115.825 * * [simplify]: Extracting #3: cost 197 inf + 178 115.826 * * [simplify]: Extracting #4: cost 191 inf + 1310 115.829 * * [simplify]: Extracting #5: cost 96 inf + 14316 115.838 * * [simplify]: Extracting #6: cost 32 inf + 39237 115.859 * * [simplify]: Extracting #7: cost 0 inf + 65358 115.878 * * [simplify]: Extracting #8: cost 0 inf + 64077 115.889 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 115.889 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 115.889 * * * * [progress]: [ 42 / 675 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))> 115.889 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 115.889 * * [simplify]: iters left: 6 (11 enodes) 115.892 * * [simplify]: iters left: 5 (45 enodes) 115.900 * * [simplify]: iters left: 4 (74 enodes) 115.921 * * [simplify]: iters left: 3 (118 enodes) 115.944 * * [simplify]: iters left: 2 (216 enodes) 115.992 * * [simplify]: iters left: 1 (389 enodes) 116.152 * * [simplify]: Extracting #0: cost 1 inf + 0 116.152 * * [simplify]: Extracting #1: cost 2 inf + 0 116.152 * * [simplify]: Extracting #2: cost 30 inf + 0 116.153 * * [simplify]: Extracting #3: cost 112 inf + 1 116.154 * * [simplify]: Extracting #4: cost 170 inf + 301 116.156 * * [simplify]: Extracting #5: cost 163 inf + 1056 116.161 * * [simplify]: Extracting #6: cost 93 inf + 10956 116.169 * * [simplify]: Extracting #7: cost 18 inf + 54432 116.184 * * [simplify]: Extracting #8: cost 0 inf + 72890 116.202 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 116.203 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.203 * * * * [progress]: [ 43 / 675 ] simplifiying candidate # 116.203 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 116.203 * * [simplify]: iters left: 5 (6 enodes) 116.207 * * [simplify]: iters left: 4 (22 enodes) 116.214 * * [simplify]: iters left: 3 (30 enodes) 116.223 * * [simplify]: iters left: 2 (35 enodes) 116.227 * * [simplify]: Extracting #0: cost 1 inf + 0 116.227 * * [simplify]: Extracting #1: cost 3 inf + 0 116.227 * * [simplify]: Extracting #2: cost 10 inf + 0 116.227 * * [simplify]: Extracting #3: cost 10 inf + 3 116.228 * * [simplify]: Extracting #4: cost 6 inf + 171 116.228 * * [simplify]: Extracting #5: cost 1 inf + 574 116.228 * * [simplify]: Extracting #6: cost 0 inf + 727 116.228 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 116.228 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.228 * * * * [progress]: [ 44 / 675 ] simplifiying candidate # 116.228 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 116.228 * * [simplify]: iters left: 5 (6 enodes) 116.230 * * [simplify]: iters left: 4 (22 enodes) 116.234 * * [simplify]: iters left: 3 (30 enodes) 116.239 * * [simplify]: iters left: 2 (35 enodes) 116.243 * * [simplify]: Extracting #0: cost 1 inf + 0 116.243 * * [simplify]: Extracting #1: cost 3 inf + 0 116.243 * * [simplify]: Extracting #2: cost 10 inf + 0 116.243 * * [simplify]: Extracting #3: cost 10 inf + 3 116.243 * * [simplify]: Extracting #4: cost 6 inf + 171 116.244 * * [simplify]: Extracting #5: cost 1 inf + 594 116.244 * * [simplify]: Extracting #6: cost 0 inf + 767 116.244 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 116.244 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.244 * * * * [progress]: [ 45 / 675 ] simplifiying candidate # 116.244 * [simplify]: Simplifying (* n (* 2 PI)) 116.244 * * [simplify]: iters left: 4 (5 enodes) 116.246 * * [simplify]: iters left: 3 (19 enodes) 116.249 * * [simplify]: iters left: 2 (27 enodes) 116.255 * * [simplify]: iters left: 1 (32 enodes) 116.264 * * [simplify]: Extracting #0: cost 1 inf + 0 116.264 * * [simplify]: Extracting #1: cost 8 inf + 0 116.264 * * [simplify]: Extracting #2: cost 7 inf + 45 116.264 * * [simplify]: Extracting #3: cost 0 inf + 421 116.265 * [simplify]: Simplified to (* (* PI 2) n) 116.265 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.265 * * * * [progress]: [ 46 / 675 ] simplifiying candidate # 116.266 * [simplify]: Simplifying (* n (* 2 PI)) 116.266 * * [simplify]: iters left: 4 (5 enodes) 116.269 * * [simplify]: iters left: 3 (19 enodes) 116.275 * * [simplify]: iters left: 2 (27 enodes) 116.281 * * [simplify]: iters left: 1 (32 enodes) 116.285 * * [simplify]: Extracting #0: cost 1 inf + 0 116.285 * * [simplify]: Extracting #1: cost 8 inf + 0 116.285 * * [simplify]: Extracting #2: cost 7 inf + 45 116.286 * * [simplify]: Extracting #3: cost 0 inf + 421 116.286 * [simplify]: Simplified to (* (* PI 2) n) 116.286 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.286 * * * * [progress]: [ 47 / 675 ] simplifiying candidate # 116.286 * * * * [progress]: [ 48 / 675 ] simplifiying candidate # 116.286 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 116.286 * * [simplify]: iters left: 5 (8 enodes) 116.288 * * [simplify]: iters left: 4 (28 enodes) 116.293 * * [simplify]: iters left: 3 (36 enodes) 116.299 * * [simplify]: iters left: 2 (42 enodes) 116.305 * * [simplify]: Extracting #0: cost 1 inf + 0 116.305 * * [simplify]: Extracting #1: cost 8 inf + 0 116.305 * * [simplify]: Extracting #2: cost 17 inf + 0 116.305 * * [simplify]: Extracting #3: cost 12 inf + 145 116.305 * * [simplify]: Extracting #4: cost 5 inf + 1197 116.305 * * [simplify]: Extracting #5: cost 1 inf + 1925 116.306 * * [simplify]: Extracting #6: cost 0 inf + 2107 116.306 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 116.306 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.306 * * * * [progress]: [ 49 / 675 ] simplifiying candidate # 116.307 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 116.307 * * [simplify]: iters left: 5 (7 enodes) 116.310 * * [simplify]: iters left: 4 (26 enodes) 116.318 * * [simplify]: iters left: 3 (35 enodes) 116.326 * * [simplify]: iters left: 2 (44 enodes) 116.332 * * [simplify]: Extracting #0: cost 1 inf + 0 116.332 * * [simplify]: Extracting #1: cost 8 inf + 0 116.332 * * [simplify]: Extracting #2: cost 18 inf + 0 116.332 * * [simplify]: Extracting #3: cost 15 inf + 74 116.332 * * [simplify]: Extracting #4: cost 8 inf + 554 116.332 * * [simplify]: Extracting #5: cost 0 inf + 1911 116.333 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 116.333 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.333 * * * * [progress]: [ 50 / 675 ] simplifiying candidate # 116.333 * [simplify]: Simplifying (log (* n (* 2 PI))) 116.333 * * [simplify]: iters left: 5 (6 enodes) 116.335 * * [simplify]: iters left: 4 (25 enodes) 116.339 * * [simplify]: iters left: 3 (44 enodes) 116.346 * * [simplify]: iters left: 2 (62 enodes) 116.359 * * [simplify]: iters left: 1 (70 enodes) 116.376 * * [simplify]: Extracting #0: cost 1 inf + 0 116.376 * * [simplify]: Extracting #1: cost 9 inf + 0 116.376 * * [simplify]: Extracting #2: cost 22 inf + 0 116.376 * * [simplify]: Extracting #3: cost 19 inf + 228 116.377 * * [simplify]: Extracting #4: cost 6 inf + 1211 116.378 * * [simplify]: Extracting #5: cost 1 inf + 1713 116.378 * * [simplify]: Extracting #6: cost 0 inf + 1825 116.379 * [simplify]: Simplified to (log (* (* PI 2) n)) 116.379 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.379 * * * * [progress]: [ 51 / 675 ] simplifiying candidate # 116.380 * [simplify]: Simplifying (exp (* n (* 2 PI))) 116.380 * * [simplify]: iters left: 5 (6 enodes) 116.383 * * [simplify]: iters left: 4 (24 enodes) 116.387 * * [simplify]: iters left: 3 (41 enodes) 116.395 * * [simplify]: iters left: 2 (77 enodes) 116.407 * * [simplify]: iters left: 1 (133 enodes) 116.446 * * [simplify]: Extracting #0: cost 1 inf + 0 116.446 * * [simplify]: Extracting #1: cost 35 inf + 0 116.447 * * [simplify]: Extracting #2: cost 76 inf + 902 116.448 * * [simplify]: Extracting #3: cost 70 inf + 5334 116.451 * * [simplify]: Extracting #4: cost 21 inf + 16365 116.456 * * [simplify]: Extracting #5: cost 2 inf + 21849 116.461 * * [simplify]: Extracting #6: cost 0 inf + 22004 116.465 * [simplify]: Simplified to (exp (* n (+ PI PI))) 116.465 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (log (exp (* n (+ PI PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.466 * * * * [progress]: [ 52 / 675 ] simplifiying candidate # 116.466 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 116.466 * * [simplify]: iters left: 6 (11 enodes) 116.474 * * [simplify]: iters left: 5 (48 enodes) 116.493 * * [simplify]: iters left: 4 (121 enodes) 116.537 * * [simplify]: iters left: 3 (348 enodes) 116.740 * * [simplify]: Extracting #0: cost 1 inf + 0 116.740 * * [simplify]: Extracting #1: cost 67 inf + 0 116.741 * * [simplify]: Extracting #2: cost 165 inf + 786 116.746 * * [simplify]: Extracting #3: cost 81 inf + 10746 116.752 * * [simplify]: Extracting #4: cost 9 inf + 26018 116.759 * * [simplify]: Extracting #5: cost 0 inf + 28546 116.765 * * [simplify]: Extracting #6: cost 0 inf + 28506 116.771 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 116.771 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 116.771 * * * * [progress]: [ 53 / 675 ] simplifiying candidate # 116.771 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 116.772 * * [simplify]: iters left: 6 (9 enodes) 116.775 * * [simplify]: iters left: 5 (45 enodes) 116.783 * * [simplify]: iters left: 4 (117 enodes) 116.821 * * [simplify]: iters left: 3 (377 enodes) 117.111 * * [simplify]: Extracting #0: cost 1 inf + 0 117.111 * * [simplify]: Extracting #1: cost 79 inf + 0 117.113 * * [simplify]: Extracting #2: cost 191 inf + 659 117.121 * * [simplify]: Extracting #3: cost 100 inf + 13238 117.139 * * [simplify]: Extracting #4: cost 6 inf + 31685 117.156 * * [simplify]: Extracting #5: cost 0 inf + 32539 117.165 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 117.165 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.165 * * * * [progress]: [ 54 / 675 ] simplifiying candidate # 117.165 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 117.165 * * [simplify]: iters left: 6 (7 enodes) 117.167 * * [simplify]: iters left: 5 (25 enodes) 117.175 * * [simplify]: iters left: 4 (33 enodes) 117.180 * * [simplify]: iters left: 3 (39 enodes) 117.185 * * [simplify]: Extracting #0: cost 1 inf + 0 117.185 * * [simplify]: Extracting #1: cost 3 inf + 0 117.185 * * [simplify]: Extracting #2: cost 5 inf + 0 117.185 * * [simplify]: Extracting #3: cost 12 inf + 0 117.185 * * [simplify]: Extracting #4: cost 11 inf + 45 117.185 * * [simplify]: Extracting #5: cost 5 inf + 500 117.185 * * [simplify]: Extracting #6: cost 1 inf + 950 117.186 * * [simplify]: Extracting #7: cost 0 inf + 1153 117.186 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 117.186 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.186 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 117.186 * * [simplify]: iters left: 5 (6 enodes) 117.188 * * [simplify]: iters left: 4 (22 enodes) 117.192 * * [simplify]: iters left: 3 (30 enodes) 117.197 * * [simplify]: iters left: 2 (35 enodes) 117.202 * * [simplify]: Extracting #0: cost 1 inf + 0 117.202 * * [simplify]: Extracting #1: cost 3 inf + 0 117.202 * * [simplify]: Extracting #2: cost 10 inf + 0 117.202 * * [simplify]: Extracting #3: cost 10 inf + 3 117.202 * * [simplify]: Extracting #4: cost 6 inf + 171 117.202 * * [simplify]: Extracting #5: cost 1 inf + 584 117.202 * * [simplify]: Extracting #6: cost 0 inf + 747 117.203 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 117.203 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.203 * * * * [progress]: [ 55 / 675 ] simplifiying candidate # 117.203 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 117.203 * * [simplify]: iters left: 6 (7 enodes) 117.205 * * [simplify]: iters left: 5 (35 enodes) 117.214 * * [simplify]: iters left: 4 (120 enodes) 117.285 * * [simplify]: iters left: 3 (434 enodes) 117.669 * * [simplify]: Extracting #0: cost 1 inf + 0 117.670 * * [simplify]: Extracting #1: cost 75 inf + 0 117.674 * * [simplify]: Extracting #2: cost 190 inf + 661 117.679 * * [simplify]: Extracting #3: cost 73 inf + 17047 117.688 * * [simplify]: Extracting #4: cost 3 inf + 27583 117.698 * * [simplify]: Extracting #5: cost 0 inf + 27781 117.713 * * [simplify]: Extracting #6: cost 0 inf + 27740 117.732 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 117.733 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.733 * * * * [progress]: [ 56 / 675 ] simplifiying candidate # 117.733 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 117.733 * * [simplify]: iters left: 5 (6 enodes) 117.736 * * [simplify]: iters left: 4 (22 enodes) 117.739 * * [simplify]: iters left: 3 (30 enodes) 117.744 * * [simplify]: iters left: 2 (35 enodes) 117.749 * * [simplify]: Extracting #0: cost 1 inf + 0 117.749 * * [simplify]: Extracting #1: cost 3 inf + 0 117.749 * * [simplify]: Extracting #2: cost 10 inf + 0 117.749 * * [simplify]: Extracting #3: cost 10 inf + 3 117.749 * * [simplify]: Extracting #4: cost 6 inf + 171 117.749 * * [simplify]: Extracting #5: cost 1 inf + 544 117.749 * * [simplify]: Extracting #6: cost 0 inf + 667 117.749 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 117.749 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.750 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 117.750 * * [simplify]: iters left: 5 (6 enodes) 117.751 * * [simplify]: iters left: 4 (22 enodes) 117.755 * * [simplify]: iters left: 3 (30 enodes) 117.759 * * [simplify]: iters left: 2 (35 enodes) 117.766 * * [simplify]: Extracting #0: cost 1 inf + 0 117.766 * * [simplify]: Extracting #1: cost 3 inf + 0 117.766 * * [simplify]: Extracting #2: cost 10 inf + 0 117.766 * * [simplify]: Extracting #3: cost 10 inf + 3 117.766 * * [simplify]: Extracting #4: cost 6 inf + 171 117.766 * * [simplify]: Extracting #5: cost 1 inf + 544 117.767 * * [simplify]: Extracting #6: cost 0 inf + 667 117.767 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 117.767 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.767 * * * * [progress]: [ 57 / 675 ] simplifiying candidate # 117.768 * * * * [progress]: [ 58 / 675 ] simplifiying candidate # 117.768 * [simplify]: Simplifying (* n 2) 117.768 * * [simplify]: iters left: 2 (3 enodes) 117.770 * * [simplify]: iters left: 1 (10 enodes) 117.773 * * [simplify]: Extracting #0: cost 1 inf + 0 117.773 * * [simplify]: Extracting #1: cost 4 inf + 0 117.773 * * [simplify]: Extracting #2: cost 2 inf + 2 117.773 * * [simplify]: Extracting #3: cost 0 inf + 86 117.774 * [simplify]: Simplified to (* n 2) 117.774 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.774 * * * * [progress]: [ 59 / 675 ] simplifiying candidate # 117.774 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 117.774 * * [simplify]: iters left: 4 (6 enodes) 117.778 * * [simplify]: iters left: 3 (22 enodes) 117.785 * * [simplify]: iters left: 2 (30 enodes) 117.794 * * [simplify]: iters left: 1 (35 enodes) 117.803 * * [simplify]: Extracting #0: cost 1 inf + 0 117.803 * * [simplify]: Extracting #1: cost 8 inf + 0 117.803 * * [simplify]: Extracting #2: cost 10 inf + 44 117.803 * * [simplify]: Extracting #3: cost 8 inf + 87 117.804 * * [simplify]: Extracting #4: cost 5 inf + 453 117.804 * * [simplify]: Extracting #5: cost 0 inf + 1063 117.804 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 117.804 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.805 * * * * [progress]: [ 60 / 675 ] simplifiying candidate # 117.805 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 117.805 * * [simplify]: iters left: 4 (6 enodes) 117.808 * * [simplify]: iters left: 3 (22 enodes) 117.815 * * [simplify]: iters left: 2 (30 enodes) 117.824 * * [simplify]: iters left: 1 (35 enodes) 117.833 * * [simplify]: Extracting #0: cost 1 inf + 0 117.833 * * [simplify]: Extracting #1: cost 8 inf + 0 117.833 * * [simplify]: Extracting #2: cost 10 inf + 44 117.833 * * [simplify]: Extracting #3: cost 8 inf + 87 117.833 * * [simplify]: Extracting #4: cost 5 inf + 333 117.834 * * [simplify]: Extracting #5: cost 0 inf + 743 117.834 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 117.834 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.834 * * * * [progress]: [ 61 / 675 ] simplifiying candidate # 117.835 * [simplify]: Simplifying (* n (* 2 PI)) 117.835 * * [simplify]: iters left: 4 (5 enodes) 117.838 * * [simplify]: iters left: 3 (19 enodes) 117.844 * * [simplify]: iters left: 2 (27 enodes) 117.852 * * [simplify]: iters left: 1 (32 enodes) 117.861 * * [simplify]: Extracting #0: cost 1 inf + 0 117.861 * * [simplify]: Extracting #1: cost 8 inf + 0 117.861 * * [simplify]: Extracting #2: cost 7 inf + 45 117.861 * * [simplify]: Extracting #3: cost 0 inf + 421 117.861 * [simplify]: Simplified to (* (* PI 2) n) 117.861 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (/ (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.862 * * * * [progress]: [ 62 / 675 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> 117.862 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 117.862 * * [simplify]: iters left: 5 (6 enodes) 117.865 * * [simplify]: iters left: 4 (19 enodes) 117.871 * * [simplify]: iters left: 3 (27 enodes) 117.875 * * [simplify]: iters left: 2 (32 enodes) 117.879 * * [simplify]: Extracting #0: cost 1 inf + 0 117.879 * * [simplify]: Extracting #1: cost 2 inf + 0 117.879 * * [simplify]: Extracting #2: cost 8 inf + 0 117.879 * * [simplify]: Extracting #3: cost 7 inf + 45 117.879 * * [simplify]: Extracting #4: cost 1 inf + 379 117.880 * * [simplify]: Extracting #5: cost 0 inf + 421 117.880 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 117.880 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 117.880 * * * * [progress]: [ 63 / 675 ] simplifiying candidate # 117.880 * * * * [progress]: [ 64 / 675 ] simplifiying candidate # 117.880 * [simplify]: Simplifying (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 117.880 * * [simplify]: iters left: 6 (14 enodes) 117.884 * * [simplify]: iters left: 5 (57 enodes) 117.896 * * [simplify]: iters left: 4 (92 enodes) 117.917 * * [simplify]: iters left: 3 (137 enodes) 117.949 * * [simplify]: iters left: 2 (233 enodes) 117.997 * * [simplify]: iters left: 1 (473 enodes) 118.185 * * [simplify]: Extracting #0: cost 1 inf + 0 118.185 * * [simplify]: Extracting #1: cost 3 inf + 0 118.186 * * [simplify]: Extracting #2: cost 54 inf + 0 118.186 * * [simplify]: Extracting #3: cost 159 inf + 0 118.188 * * [simplify]: Extracting #4: cost 227 inf + 3 118.191 * * [simplify]: Extracting #5: cost 224 inf + 3260 118.197 * * [simplify]: Extracting #6: cost 161 inf + 14342 118.212 * * [simplify]: Extracting #7: cost 91 inf + 53648 118.239 * * [simplify]: Extracting #8: cost 5 inf + 135939 118.263 * * [simplify]: Extracting #9: cost 0 inf + 135528 118.283 * * [simplify]: Extracting #10: cost 0 inf + 135075 118.316 * [simplify]: Simplified to (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 118.317 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log1p (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 118.317 * * * * [progress]: [ 65 / 675 ] simplifiying candidate # 118.317 * [simplify]: Simplifying (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 118.317 * * [simplify]: iters left: 6 (14 enodes) 118.325 * * [simplify]: iters left: 5 (57 enodes) 118.344 * * [simplify]: iters left: 4 (92 enodes) 118.375 * * [simplify]: iters left: 3 (137 enodes) 118.399 * * [simplify]: iters left: 2 (233 enodes) 118.481 * * [simplify]: iters left: 1 (473 enodes) 118.714 * * [simplify]: Extracting #0: cost 1 inf + 0 118.714 * * [simplify]: Extracting #1: cost 3 inf + 0 118.714 * * [simplify]: Extracting #2: cost 54 inf + 0 118.715 * * [simplify]: Extracting #3: cost 159 inf + 0 118.715 * * [simplify]: Extracting #4: cost 227 inf + 3 118.717 * * [simplify]: Extracting #5: cost 224 inf + 3300 118.719 * * [simplify]: Extracting #6: cost 161 inf + 14382 118.727 * * [simplify]: Extracting #7: cost 91 inf + 53688 118.745 * * [simplify]: Extracting #8: cost 5 inf + 135979 118.783 * * [simplify]: Extracting #9: cost 0 inf + 135568 118.823 * * [simplify]: Extracting #10: cost 0 inf + 135115 118.862 * [simplify]: Simplified to (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 118.862 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (expm1 (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 118.863 * * * * [progress]: [ 66 / 675 ] simplifiying candidate # 118.863 * * * * [progress]: [ 67 / 675 ] simplifiying candidate # 118.863 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 118.863 * * [simplify]: iters left: 6 (17 enodes) 118.872 * * [simplify]: iters left: 5 (69 enodes) 118.894 * * [simplify]: iters left: 4 (116 enodes) 118.947 * * [simplify]: iters left: 3 (311 enodes) 119.133 * * [simplify]: Extracting #0: cost 1 inf + 0 119.134 * * [simplify]: Extracting #1: cost 33 inf + 0 119.134 * * [simplify]: Extracting #2: cost 122 inf + 0 119.135 * * [simplify]: Extracting #3: cost 168 inf + 329 119.139 * * [simplify]: Extracting #4: cost 152 inf + 6410 119.150 * * [simplify]: Extracting #5: cost 45 inf + 35684 119.170 * * [simplify]: Extracting #6: cost 1 inf + 51756 119.195 * * [simplify]: Extracting #7: cost 0 inf + 52328 119.217 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt (sqrt k)))) 119.217 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 119.217 * * * * [progress]: [ 68 / 675 ] simplifiying candidate # 119.217 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 119.217 * * [simplify]: iters left: 6 (16 enodes) 119.226 * * [simplify]: iters left: 5 (67 enodes) 119.247 * * [simplify]: iters left: 4 (109 enodes) 119.269 * * [simplify]: iters left: 3 (251 enodes) 119.362 * * [simplify]: Extracting #0: cost 1 inf + 0 119.362 * * [simplify]: Extracting #1: cost 29 inf + 0 119.362 * * [simplify]: Extracting #2: cost 111 inf + 0 119.363 * * [simplify]: Extracting #3: cost 148 inf + 666 119.367 * * [simplify]: Extracting #4: cost 119 inf + 9090 119.376 * * [simplify]: Extracting #5: cost 50 inf + 27808 119.395 * * [simplify]: Extracting #6: cost 14 inf + 37783 119.412 * * [simplify]: Extracting #7: cost 0 inf + 42472 119.423 * * [simplify]: Extracting #8: cost 0 inf + 42432 119.432 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k)))) 119.432 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 119.432 * * * * [progress]: [ 69 / 675 ] simplifiying candidate # 119.432 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 119.432 * * [simplify]: iters left: 6 (15 enodes) 119.437 * * [simplify]: iters left: 5 (66 enodes) 119.448 * * [simplify]: iters left: 4 (116 enodes) 119.488 * * [simplify]: iters left: 3 (234 enodes) 119.585 * * [simplify]: Extracting #0: cost 1 inf + 0 119.585 * * [simplify]: Extracting #1: cost 23 inf + 0 119.585 * * [simplify]: Extracting #2: cost 108 inf + 0 119.586 * * [simplify]: Extracting #3: cost 145 inf + 496 119.590 * * [simplify]: Extracting #4: cost 122 inf + 8955 119.594 * * [simplify]: Extracting #5: cost 31 inf + 28409 119.604 * * [simplify]: Extracting #6: cost 1 inf + 36306 119.612 * * [simplify]: Extracting #7: cost 0 inf + 36375 119.619 * * [simplify]: Extracting #8: cost 0 inf + 36360 119.632 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k)))) 119.632 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 119.632 * * * * [progress]: [ 70 / 675 ] simplifiying candidate # 119.632 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 119.632 * * [simplify]: iters left: 6 (15 enodes) 119.641 * * [simplify]: iters left: 5 (66 enodes) 119.659 * * [simplify]: iters left: 4 (116 enodes) 119.681 * * [simplify]: iters left: 3 (234 enodes) 119.797 * * [simplify]: Extracting #0: cost 1 inf + 0 119.797 * * [simplify]: Extracting #1: cost 23 inf + 0 119.798 * * [simplify]: Extracting #2: cost 108 inf + 0 119.799 * * [simplify]: Extracting #3: cost 145 inf + 496 119.802 * * [simplify]: Extracting #4: cost 122 inf + 8955 119.811 * * [simplify]: Extracting #5: cost 31 inf + 28409 119.829 * * [simplify]: Extracting #6: cost 1 inf + 36306 119.844 * * [simplify]: Extracting #7: cost 0 inf + 36375 119.859 * * [simplify]: Extracting #8: cost 0 inf + 36360 119.874 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k)))) 119.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 119.875 * * * * [progress]: [ 71 / 675 ] simplifiying candidate # 119.875 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt (sqrt k)))) 119.875 * * [simplify]: iters left: 6 (15 enodes) 119.884 * * [simplify]: iters left: 5 (64 enodes) 119.899 * * [simplify]: iters left: 4 (115 enodes) 119.919 * * [simplify]: iters left: 3 (221 enodes) 120.015 * * [simplify]: Extracting #0: cost 1 inf + 0 120.015 * * [simplify]: Extracting #1: cost 24 inf + 0 120.016 * * [simplify]: Extracting #2: cost 131 inf + 0 120.017 * * [simplify]: Extracting #3: cost 199 inf + 4 120.019 * * [simplify]: Extracting #4: cost 160 inf + 7119 120.029 * * [simplify]: Extracting #5: cost 39 inf + 34232 120.044 * * [simplify]: Extracting #6: cost 1 inf + 44357 120.060 * * [simplify]: Extracting #7: cost 0 inf + 44813 120.079 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) 120.079 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 120.079 * * * * [progress]: [ 72 / 675 ] simplifiying candidate # 120.079 * [simplify]: Simplifying (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 120.080 * * [simplify]: iters left: 6 (14 enodes) 120.087 * * [simplify]: iters left: 5 (60 enodes) 120.108 * * [simplify]: iters left: 4 (105 enodes) 120.141 * * [simplify]: iters left: 3 (189 enodes) 120.190 * * [simplify]: iters left: 2 (457 enodes) 120.409 * * [simplify]: Extracting #0: cost 1 inf + 0 120.409 * * [simplify]: Extracting #1: cost 105 inf + 0 120.412 * * [simplify]: Extracting #2: cost 498 inf + 1 120.416 * * [simplify]: Extracting #3: cost 612 inf + 79 120.430 * * [simplify]: Extracting #4: cost 518 inf + 21308 120.451 * * [simplify]: Extracting #5: cost 125 inf + 133387 120.484 * * [simplify]: Extracting #6: cost 4 inf + 188373 120.519 * * [simplify]: Extracting #7: cost 0 inf + 189810 120.567 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt (sqrt k)))) 120.567 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 120.567 * * * * [progress]: [ 73 / 675 ] simplifiying candidate # 120.567 * [simplify]: Simplifying (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 120.567 * * [simplify]: iters left: 6 (14 enodes) 120.571 * * [simplify]: iters left: 5 (57 enodes) 120.582 * * [simplify]: iters left: 4 (92 enodes) 120.602 * * [simplify]: iters left: 3 (137 enodes) 120.652 * * [simplify]: iters left: 2 (235 enodes) 120.702 * * [simplify]: iters left: 1 (485 enodes) 120.909 * * [simplify]: Extracting #0: cost 1 inf + 0 120.909 * * [simplify]: Extracting #1: cost 21 inf + 0 120.909 * * [simplify]: Extracting #2: cost 106 inf + 0 120.910 * * [simplify]: Extracting #3: cost 225 inf + 3 120.911 * * [simplify]: Extracting #4: cost 256 inf + 224 120.912 * * [simplify]: Extracting #5: cost 242 inf + 3957 120.925 * * [simplify]: Extracting #6: cost 111 inf + 59346 120.957 * * [simplify]: Extracting #7: cost 4 inf + 143970 120.994 * * [simplify]: Extracting #8: cost 0 inf + 147459 121.035 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 121.035 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 121.036 * * * * [progress]: [ 74 / 675 ] simplifiying candidate # 121.036 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 121.036 * * [simplify]: iters left: 6 (17 enodes) 121.041 * * [simplify]: iters left: 5 (75 enodes) 121.055 * * [simplify]: iters left: 4 (170 enodes) 121.117 * * [simplify]: Extracting #0: cost 1 inf + 0 121.117 * * [simplify]: Extracting #1: cost 50 inf + 0 121.118 * * [simplify]: Extracting #2: cost 115 inf + 1 121.119 * * [simplify]: Extracting #3: cost 142 inf + 2 121.120 * * [simplify]: Extracting #4: cost 136 inf + 592 121.124 * * [simplify]: Extracting #5: cost 84 inf + 19155 121.136 * * [simplify]: Extracting #6: cost 8 inf + 59106 121.147 * * [simplify]: Extracting #7: cost 0 inf + 64610 121.158 * [simplify]: Simplified to (/ (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k)) 121.158 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (/ (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (sqrt k)))) 121.158 * * * * [progress]: [ 75 / 675 ] simplifiying candidate # 121.159 * [simplify]: Simplifying (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 121.159 * * [simplify]: iters left: 6 (15 enodes) 121.167 * * [simplify]: iters left: 5 (60 enodes) 121.186 * * [simplify]: iters left: 4 (95 enodes) 121.217 * * [simplify]: iters left: 3 (144 enodes) 121.263 * * [simplify]: iters left: 2 (241 enodes) 121.335 * * [simplify]: iters left: 1 (479 enodes) 121.555 * * [simplify]: Extracting #0: cost 1 inf + 0 121.555 * * [simplify]: Extracting #1: cost 3 inf + 0 121.555 * * [simplify]: Extracting #2: cost 5 inf + 0 121.555 * * [simplify]: Extracting #3: cost 53 inf + 0 121.556 * * [simplify]: Extracting #4: cost 153 inf + 0 121.556 * * [simplify]: Extracting #5: cost 227 inf + 3 121.557 * * [simplify]: Extracting #6: cost 224 inf + 2172 121.561 * * [simplify]: Extracting #7: cost 158 inf + 17100 121.575 * * [simplify]: Extracting #8: cost 66 inf + 75797 121.614 * * [simplify]: Extracting #9: cost 1 inf + 136110 121.655 * * [simplify]: Extracting #10: cost 0 inf + 133458 121.703 * * [simplify]: Extracting #11: cost 0 inf + 132872 121.743 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 121.743 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 121.743 * [simplify]: Simplifying (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 121.743 * * [simplify]: iters left: 6 (14 enodes) 121.747 * * [simplify]: iters left: 5 (57 enodes) 121.757 * * [simplify]: iters left: 4 (92 enodes) 121.772 * * [simplify]: iters left: 3 (137 enodes) 121.807 * * [simplify]: iters left: 2 (233 enodes) 121.897 * * [simplify]: iters left: 1 (473 enodes) 122.127 * * [simplify]: Extracting #0: cost 1 inf + 0 122.127 * * [simplify]: Extracting #1: cost 3 inf + 0 122.127 * * [simplify]: Extracting #2: cost 54 inf + 0 122.128 * * [simplify]: Extracting #3: cost 159 inf + 0 122.129 * * [simplify]: Extracting #4: cost 227 inf + 3 122.132 * * [simplify]: Extracting #5: cost 224 inf + 3280 122.135 * * [simplify]: Extracting #6: cost 161 inf + 14362 122.142 * * [simplify]: Extracting #7: cost 91 inf + 53668 122.162 * * [simplify]: Extracting #8: cost 5 inf + 135959 122.196 * * [simplify]: Extracting #9: cost 0 inf + 135548 122.218 * * [simplify]: Extracting #10: cost 0 inf + 135095 122.240 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 122.240 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 122.240 * * * * [progress]: [ 76 / 675 ] simplifiying candidate # 122.240 * [simplify]: Simplifying (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 122.240 * * [simplify]: iters left: 6 (15 enodes) 122.245 * * [simplify]: iters left: 5 (67 enodes) 122.269 * * [simplify]: iters left: 4 (133 enodes) 122.313 * * [simplify]: iters left: 3 (282 enodes) 122.446 * * [simplify]: Extracting #0: cost 1 inf + 0 122.446 * * [simplify]: Extracting #1: cost 69 inf + 0 122.447 * * [simplify]: Extracting #2: cost 201 inf + 1 122.448 * * [simplify]: Extracting #3: cost 241 inf + 448 122.449 * * [simplify]: Extracting #4: cost 227 inf + 3943 122.455 * * [simplify]: Extracting #5: cost 138 inf + 50129 122.491 * * [simplify]: Extracting #6: cost 9 inf + 142019 122.538 * * [simplify]: Extracting #7: cost 0 inf + 148334 122.570 * * [simplify]: Extracting #8: cost 0 inf + 147830 122.606 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 122.606 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (sqrt (sqrt k)))) 122.607 * * * * [progress]: [ 77 / 675 ] simplifiying candidate # 122.607 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 122.607 * * [simplify]: iters left: 6 (14 enodes) 122.615 * * [simplify]: iters left: 5 (57 enodes) 122.631 * * [simplify]: iters left: 4 (92 enodes) 122.646 * * [simplify]: iters left: 3 (137 enodes) 122.685 * * [simplify]: iters left: 2 (233 enodes) 122.745 * * [simplify]: iters left: 1 (473 enodes) 122.903 * * [simplify]: Extracting #0: cost 1 inf + 0 122.903 * * [simplify]: Extracting #1: cost 3 inf + 0 122.903 * * [simplify]: Extracting #2: cost 54 inf + 0 122.903 * * [simplify]: Extracting #3: cost 159 inf + 0 122.904 * * [simplify]: Extracting #4: cost 227 inf + 3 122.905 * * [simplify]: Extracting #5: cost 224 inf + 3200 122.908 * * [simplify]: Extracting #6: cost 161 inf + 14282 122.921 * * [simplify]: Extracting #7: cost 91 inf + 53588 122.957 * * [simplify]: Extracting #8: cost 5 inf + 135879 122.984 * * [simplify]: Extracting #9: cost 0 inf + 135468 123.012 * * [simplify]: Extracting #10: cost 0 inf + 135015 123.045 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 123.045 * [simplify]: Simplified (2 1 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))))) (sqrt (sqrt k)))) 123.045 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 123.045 * * [simplify]: iters left: 6 (14 enodes) 123.049 * * [simplify]: iters left: 5 (57 enodes) 123.059 * * [simplify]: iters left: 4 (92 enodes) 123.083 * * [simplify]: iters left: 3 (137 enodes) 123.119 * * [simplify]: iters left: 2 (233 enodes) 123.203 * * [simplify]: iters left: 1 (473 enodes) 123.400 * * [simplify]: Extracting #0: cost 1 inf + 0 123.401 * * [simplify]: Extracting #1: cost 3 inf + 0 123.401 * * [simplify]: Extracting #2: cost 54 inf + 0 123.401 * * [simplify]: Extracting #3: cost 159 inf + 0 123.402 * * [simplify]: Extracting #4: cost 227 inf + 3 123.403 * * [simplify]: Extracting #5: cost 224 inf + 3200 123.406 * * [simplify]: Extracting #6: cost 161 inf + 14282 123.414 * * [simplify]: Extracting #7: cost 91 inf + 53588 123.437 * * [simplify]: Extracting #8: cost 5 inf + 135879 123.477 * * [simplify]: Extracting #9: cost 0 inf + 135468 123.517 * * [simplify]: Extracting #10: cost 0 inf + 135015 123.549 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 123.549 * [simplify]: Simplified (2 1 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))))) (sqrt (sqrt k)))) 123.549 * * * * [progress]: [ 78 / 675 ] simplifiying candidate # 123.550 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 123.550 * * [simplify]: iters left: 6 (11 enodes) 123.553 * * [simplify]: iters left: 5 (48 enodes) 123.561 * * [simplify]: iters left: 4 (80 enodes) 123.578 * * [simplify]: iters left: 3 (132 enodes) 123.615 * * [simplify]: iters left: 2 (259 enodes) 123.700 * * [simplify]: Extracting #0: cost 1 inf + 0 123.700 * * [simplify]: Extracting #1: cost 23 inf + 0 123.701 * * [simplify]: Extracting #2: cost 80 inf + 0 123.702 * * [simplify]: Extracting #3: cost 129 inf + 2 123.703 * * [simplify]: Extracting #4: cost 135 inf + 221 123.704 * * [simplify]: Extracting #5: cost 129 inf + 1264 123.707 * * [simplify]: Extracting #6: cost 77 inf + 8606 123.710 * * [simplify]: Extracting #7: cost 45 inf + 20183 123.716 * * [simplify]: Extracting #8: cost 2 inf + 52250 123.724 * * [simplify]: Extracting #9: cost 0 inf + 53874 123.732 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 123.732 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt (sqrt k)))) (sqrt (sqrt k)))) 123.732 * [simplify]: Simplifying (- (sqrt (sqrt k))) 123.732 * * [simplify]: iters left: 4 (4 enodes) 123.736 * * [simplify]: iters left: 3 (12 enodes) 123.737 * * [simplify]: Extracting #0: cost 1 inf + 0 123.737 * * [simplify]: Extracting #1: cost 3 inf + 0 123.737 * * [simplify]: Extracting #2: cost 5 inf + 0 123.737 * * [simplify]: Extracting #3: cost 7 inf + 0 123.737 * * [simplify]: Extracting #4: cost 6 inf + 1 123.738 * * [simplify]: Extracting #5: cost 0 inf + 487 123.738 * [simplify]: Simplified to (- (sqrt (sqrt k))) 123.738 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt (sqrt k)))) (sqrt (sqrt k)))) 123.738 * * * * [progress]: [ 79 / 675 ] simplifiying candidate # 123.738 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 123.738 * * [simplify]: iters left: 6 (12 enodes) 123.742 * * [simplify]: iters left: 5 (49 enodes) 123.751 * * [simplify]: iters left: 4 (82 enodes) 123.770 * * [simplify]: iters left: 3 (140 enodes) 123.810 * * [simplify]: iters left: 2 (287 enodes) 123.914 * * [simplify]: Extracting #0: cost 1 inf + 0 123.914 * * [simplify]: Extracting #1: cost 57 inf + 0 123.915 * * [simplify]: Extracting #2: cost 157 inf + 0 123.916 * * [simplify]: Extracting #3: cost 219 inf + 3 123.918 * * [simplify]: Extracting #4: cost 231 inf + 11 123.920 * * [simplify]: Extracting #5: cost 200 inf + 6067 123.927 * * [simplify]: Extracting #6: cost 135 inf + 24607 123.944 * * [simplify]: Extracting #7: cost 60 inf + 73883 123.977 * * [simplify]: Extracting #8: cost 0 inf + 120004 124.008 * * [simplify]: Extracting #9: cost 0 inf + 119963 124.039 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 124.040 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 124.040 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) 124.040 * * [simplify]: iters left: 6 (12 enodes) 124.047 * * [simplify]: iters left: 5 (48 enodes) 124.063 * * [simplify]: iters left: 4 (71 enodes) 124.087 * * [simplify]: iters left: 3 (115 enodes) 124.136 * * [simplify]: iters left: 2 (229 enodes) 124.196 * * [simplify]: iters left: 1 (482 enodes) 124.454 * * [simplify]: Extracting #0: cost 1 inf + 0 124.454 * * [simplify]: Extracting #1: cost 51 inf + 0 124.455 * * [simplify]: Extracting #2: cost 148 inf + 0 124.457 * * [simplify]: Extracting #3: cost 238 inf + 3 124.459 * * [simplify]: Extracting #4: cost 257 inf + 100 124.461 * * [simplify]: Extracting #5: cost 253 inf + 799 124.467 * * [simplify]: Extracting #6: cost 163 inf + 19493 124.490 * * [simplify]: Extracting #7: cost 46 inf + 92560 124.525 * * [simplify]: Extracting #8: cost 1 inf + 134441 124.551 * * [simplify]: Extracting #9: cost 0 inf + 127834 124.583 * * [simplify]: Extracting #10: cost 0 inf + 126644 124.619 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 124.619 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 124.619 * * * * [progress]: [ 80 / 675 ] simplifiying candidate # 124.620 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 124.620 * * [simplify]: iters left: 6 (12 enodes) 124.627 * * [simplify]: iters left: 5 (48 enodes) 124.644 * * [simplify]: iters left: 4 (75 enodes) 124.667 * * [simplify]: iters left: 3 (114 enodes) 124.707 * * [simplify]: iters left: 2 (210 enodes) 124.764 * * [simplify]: iters left: 1 (451 enodes) 125.004 * * [simplify]: Extracting #0: cost 1 inf + 0 125.004 * * [simplify]: Extracting #1: cost 47 inf + 0 125.005 * * [simplify]: Extracting #2: cost 148 inf + 0 125.006 * * [simplify]: Extracting #3: cost 226 inf + 4 125.008 * * [simplify]: Extracting #4: cost 243 inf + 16 125.011 * * [simplify]: Extracting #5: cost 217 inf + 5247 125.028 * * [simplify]: Extracting #6: cost 56 inf + 83831 125.046 * * [simplify]: Extracting #7: cost 0 inf + 125213 125.061 * * [simplify]: Extracting #8: cost 0 inf + 123157 125.087 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 125.087 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 125.087 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) 125.087 * * [simplify]: iters left: 6 (12 enodes) 125.094 * * [simplify]: iters left: 5 (48 enodes) 125.113 * * [simplify]: iters left: 4 (71 enodes) 125.137 * * [simplify]: iters left: 3 (115 enodes) 125.163 * * [simplify]: iters left: 2 (229 enodes) 125.211 * * [simplify]: iters left: 1 (482 enodes) 125.426 * * [simplify]: Extracting #0: cost 1 inf + 0 125.426 * * [simplify]: Extracting #1: cost 51 inf + 0 125.427 * * [simplify]: Extracting #2: cost 148 inf + 0 125.429 * * [simplify]: Extracting #3: cost 238 inf + 3 125.431 * * [simplify]: Extracting #4: cost 257 inf + 100 125.433 * * [simplify]: Extracting #5: cost 253 inf + 839 125.439 * * [simplify]: Extracting #6: cost 163 inf + 19573 125.469 * * [simplify]: Extracting #7: cost 46 inf + 92640 125.492 * * [simplify]: Extracting #8: cost 1 inf + 134521 125.510 * * [simplify]: Extracting #9: cost 0 inf + 127914 125.534 * * [simplify]: Extracting #10: cost 0 inf + 126724 125.552 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 125.552 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 125.552 * * * * [progress]: [ 81 / 675 ] simplifiying candidate # 125.553 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 125.553 * * [simplify]: iters left: 6 (12 enodes) 125.558 * * [simplify]: iters left: 5 (48 enodes) 125.577 * * [simplify]: iters left: 4 (75 enodes) 125.592 * * [simplify]: iters left: 3 (114 enodes) 125.612 * * [simplify]: iters left: 2 (210 enodes) 125.680 * * [simplify]: iters left: 1 (451 enodes) 125.912 * * [simplify]: Extracting #0: cost 1 inf + 0 125.912 * * [simplify]: Extracting #1: cost 47 inf + 0 125.913 * * [simplify]: Extracting #2: cost 147 inf + 0 125.913 * * [simplify]: Extracting #3: cost 225 inf + 4 125.914 * * [simplify]: Extracting #4: cost 243 inf + 16 125.916 * * [simplify]: Extracting #5: cost 215 inf + 5451 125.923 * * [simplify]: Extracting #6: cost 79 inf + 65808 125.948 * * [simplify]: Extracting #7: cost 6 inf + 121642 125.968 * * [simplify]: Extracting #8: cost 0 inf + 123942 125.988 * * [simplify]: Extracting #9: cost 0 inf + 123360 126.003 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 126.003 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 126.003 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) 126.004 * * [simplify]: iters left: 6 (12 enodes) 126.007 * * [simplify]: iters left: 5 (48 enodes) 126.017 * * [simplify]: iters left: 4 (71 enodes) 126.041 * * [simplify]: iters left: 3 (115 enodes) 126.086 * * [simplify]: iters left: 2 (229 enodes) 126.147 * * [simplify]: iters left: 1 (482 enodes) 126.414 * * [simplify]: Extracting #0: cost 1 inf + 0 126.414 * * [simplify]: Extracting #1: cost 51 inf + 0 126.415 * * [simplify]: Extracting #2: cost 148 inf + 0 126.417 * * [simplify]: Extracting #3: cost 238 inf + 3 126.419 * * [simplify]: Extracting #4: cost 257 inf + 100 126.421 * * [simplify]: Extracting #5: cost 253 inf + 919 126.428 * * [simplify]: Extracting #6: cost 163 inf + 19653 126.451 * * [simplify]: Extracting #7: cost 46 inf + 92720 126.488 * * [simplify]: Extracting #8: cost 1 inf + 134601 126.529 * * [simplify]: Extracting #9: cost 0 inf + 127994 126.567 * * [simplify]: Extracting #10: cost 0 inf + 126804 126.595 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) 126.595 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 126.595 * * * * [progress]: [ 82 / 675 ] simplifiying candidate # 126.595 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 126.595 * * [simplify]: iters left: 6 (11 enodes) 126.599 * * [simplify]: iters left: 5 (44 enodes) 126.607 * * [simplify]: iters left: 4 (71 enodes) 126.622 * * [simplify]: iters left: 3 (114 enodes) 126.650 * * [simplify]: iters left: 2 (211 enodes) 126.702 * * [simplify]: iters left: 1 (464 enodes) 126.956 * * [simplify]: Extracting #0: cost 1 inf + 0 126.956 * * [simplify]: Extracting #1: cost 47 inf + 0 126.956 * * [simplify]: Extracting #2: cost 161 inf + 0 126.957 * * [simplify]: Extracting #3: cost 238 inf + 4 126.958 * * [simplify]: Extracting #4: cost 257 inf + 16 126.960 * * [simplify]: Extracting #5: cost 227 inf + 6704 126.966 * * [simplify]: Extracting #6: cost 117 inf + 35359 126.979 * * [simplify]: Extracting #7: cost 29 inf + 103561 127.002 * * [simplify]: Extracting #8: cost 0 inf + 129463 127.019 * * [simplify]: Extracting #9: cost 0 inf + 127947 127.052 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 127.052 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 127.052 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 127.052 * * [simplify]: iters left: 6 (12 enodes) 127.059 * * [simplify]: iters left: 5 (48 enodes) 127.075 * * [simplify]: iters left: 4 (71 enodes) 127.098 * * [simplify]: iters left: 3 (115 enodes) 127.127 * * [simplify]: iters left: 2 (229 enodes) 127.175 * * [simplify]: iters left: 1 (482 enodes) 127.395 * * [simplify]: Extracting #0: cost 1 inf + 0 127.395 * * [simplify]: Extracting #1: cost 51 inf + 0 127.396 * * [simplify]: Extracting #2: cost 148 inf + 0 127.397 * * [simplify]: Extracting #3: cost 238 inf + 3 127.403 * * [simplify]: Extracting #4: cost 257 inf + 100 127.405 * * [simplify]: Extracting #5: cost 253 inf + 759 127.412 * * [simplify]: Extracting #6: cost 163 inf + 19133 127.424 * * [simplify]: Extracting #7: cost 46 inf + 90480 127.443 * * [simplify]: Extracting #8: cost 1 inf + 131121 127.473 * * [simplify]: Extracting #9: cost 0 inf + 124474 127.509 * * [simplify]: Extracting #10: cost 0 inf + 123284 127.545 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 127.545 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 127.545 * * * * [progress]: [ 83 / 675 ] simplifiying candidate # 127.545 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) 127.545 * * [simplify]: iters left: 6 (10 enodes) 127.551 * * [simplify]: iters left: 5 (41 enodes) 127.559 * * [simplify]: iters left: 4 (66 enodes) 127.570 * * [simplify]: iters left: 3 (107 enodes) 127.597 * * [simplify]: iters left: 2 (204 enodes) 127.654 * * [simplify]: iters left: 1 (422 enodes) 127.857 * * [simplify]: Extracting #0: cost 1 inf + 0 127.857 * * [simplify]: Extracting #1: cost 57 inf + 0 127.858 * * [simplify]: Extracting #2: cost 161 inf + 3 127.859 * * [simplify]: Extracting #3: cost 213 inf + 8 127.860 * * [simplify]: Extracting #4: cost 179 inf + 7684 127.868 * * [simplify]: Extracting #5: cost 63 inf + 53289 127.885 * * [simplify]: Extracting #6: cost 0 inf + 99968 127.898 * * [simplify]: Extracting #7: cost 0 inf + 99687 127.924 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 127.924 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 127.925 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 127.925 * * [simplify]: iters left: 6 (11 enodes) 127.931 * * [simplify]: iters left: 5 (45 enodes) 127.946 * * [simplify]: iters left: 4 (68 enodes) 127.967 * * [simplify]: iters left: 3 (112 enodes) 127.993 * * [simplify]: iters left: 2 (229 enodes) 128.038 * * [simplify]: iters left: 1 (485 enodes) 128.257 * * [simplify]: Extracting #0: cost 1 inf + 0 128.257 * * [simplify]: Extracting #1: cost 52 inf + 0 128.257 * * [simplify]: Extracting #2: cost 168 inf + 0 128.258 * * [simplify]: Extracting #3: cost 259 inf + 3 128.259 * * [simplify]: Extracting #4: cost 262 inf + 888 128.262 * * [simplify]: Extracting #5: cost 187 inf + 13529 128.278 * * [simplify]: Extracting #6: cost 41 inf + 103437 128.315 * * [simplify]: Extracting #7: cost 0 inf + 138756 128.345 * * [simplify]: Extracting #8: cost 0 inf + 137976 128.367 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 128.367 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 128.367 * * * * [progress]: [ 84 / 675 ] simplifiying candidate # 128.368 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 128.368 * * [simplify]: iters left: 6 (11 enodes) 128.371 * * [simplify]: iters left: 5 (44 enodes) 128.379 * * [simplify]: iters left: 4 (71 enodes) 128.390 * * [simplify]: iters left: 3 (114 enodes) 128.415 * * [simplify]: iters left: 2 (211 enodes) 128.503 * * [simplify]: iters left: 1 (464 enodes) 128.737 * * [simplify]: Extracting #0: cost 1 inf + 0 128.737 * * [simplify]: Extracting #1: cost 47 inf + 0 128.738 * * [simplify]: Extracting #2: cost 161 inf + 0 128.738 * * [simplify]: Extracting #3: cost 238 inf + 4 128.739 * * [simplify]: Extracting #4: cost 257 inf + 16 128.745 * * [simplify]: Extracting #5: cost 227 inf + 6704 128.751 * * [simplify]: Extracting #6: cost 117 inf + 35359 128.764 * * [simplify]: Extracting #7: cost 29 inf + 103561 128.794 * * [simplify]: Extracting #8: cost 0 inf + 129463 128.820 * * [simplify]: Extracting #9: cost 0 inf + 127947 128.837 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 128.837 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 128.837 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 128.837 * * [simplify]: iters left: 6 (12 enodes) 128.841 * * [simplify]: iters left: 5 (48 enodes) 128.850 * * [simplify]: iters left: 4 (71 enodes) 128.862 * * [simplify]: iters left: 3 (115 enodes) 128.884 * * [simplify]: iters left: 2 (229 enodes) 128.932 * * [simplify]: iters left: 1 (482 enodes) 129.114 * * [simplify]: Extracting #0: cost 1 inf + 0 129.114 * * [simplify]: Extracting #1: cost 51 inf + 0 129.114 * * [simplify]: Extracting #2: cost 148 inf + 0 129.115 * * [simplify]: Extracting #3: cost 238 inf + 3 129.116 * * [simplify]: Extracting #4: cost 257 inf + 100 129.117 * * [simplify]: Extracting #5: cost 253 inf + 759 129.124 * * [simplify]: Extracting #6: cost 163 inf + 19133 129.152 * * [simplify]: Extracting #7: cost 46 inf + 90480 129.188 * * [simplify]: Extracting #8: cost 1 inf + 131121 129.213 * * [simplify]: Extracting #9: cost 0 inf + 124474 129.231 * * [simplify]: Extracting #10: cost 0 inf + 123284 129.260 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 129.260 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 129.261 * * * * [progress]: [ 85 / 675 ] simplifiying candidate # 129.261 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 129.261 * * [simplify]: iters left: 6 (9 enodes) 129.267 * * [simplify]: iters left: 5 (38 enodes) 129.283 * * [simplify]: iters left: 4 (63 enodes) 129.293 * * [simplify]: iters left: 3 (104 enodes) 129.313 * * [simplify]: iters left: 2 (197 enodes) 129.396 * * [simplify]: iters left: 1 (427 enodes) 129.628 * * [simplify]: Extracting #0: cost 1 inf + 0 129.628 * * [simplify]: Extracting #1: cost 58 inf + 0 129.629 * * [simplify]: Extracting #2: cost 160 inf + 3 129.631 * * [simplify]: Extracting #3: cost 212 inf + 8 129.633 * * [simplify]: Extracting #4: cost 191 inf + 2409 129.640 * * [simplify]: Extracting #5: cost 117 inf + 14792 129.656 * * [simplify]: Extracting #6: cost 32 inf + 70097 129.682 * * [simplify]: Extracting #7: cost 0 inf + 94162 129.697 * * [simplify]: Extracting #8: cost 0 inf + 90449 129.719 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 129.719 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 129.719 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 129.719 * * [simplify]: iters left: 6 (11 enodes) 129.726 * * [simplify]: iters left: 5 (45 enodes) 129.740 * * [simplify]: iters left: 4 (68 enodes) 129.757 * * [simplify]: iters left: 3 (112 enodes) 129.781 * * [simplify]: iters left: 2 (229 enodes) 129.844 * * [simplify]: iters left: 1 (485 enodes) 130.118 * * [simplify]: Extracting #0: cost 1 inf + 0 130.118 * * [simplify]: Extracting #1: cost 52 inf + 0 130.119 * * [simplify]: Extracting #2: cost 168 inf + 0 130.120 * * [simplify]: Extracting #3: cost 259 inf + 3 130.122 * * [simplify]: Extracting #4: cost 262 inf + 888 130.125 * * [simplify]: Extracting #5: cost 187 inf + 13529 130.141 * * [simplify]: Extracting #6: cost 41 inf + 103437 130.160 * * [simplify]: Extracting #7: cost 0 inf + 138756 130.195 * * [simplify]: Extracting #8: cost 0 inf + 137976 130.216 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 130.216 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 130.216 * * * * [progress]: [ 86 / 675 ] simplifiying candidate # 130.216 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 130.216 * * [simplify]: iters left: 6 (11 enodes) 130.219 * * [simplify]: iters left: 5 (44 enodes) 130.229 * * [simplify]: iters left: 4 (71 enodes) 130.252 * * [simplify]: iters left: 3 (114 enodes) 130.289 * * [simplify]: iters left: 2 (211 enodes) 130.349 * * [simplify]: iters left: 1 (464 enodes) 130.595 * * [simplify]: Extracting #0: cost 1 inf + 0 130.595 * * [simplify]: Extracting #1: cost 47 inf + 0 130.596 * * [simplify]: Extracting #2: cost 161 inf + 0 130.598 * * [simplify]: Extracting #3: cost 238 inf + 4 130.606 * * [simplify]: Extracting #4: cost 257 inf + 16 130.609 * * [simplify]: Extracting #5: cost 227 inf + 6704 130.621 * * [simplify]: Extracting #6: cost 117 inf + 35359 130.646 * * [simplify]: Extracting #7: cost 29 inf + 103561 130.679 * * [simplify]: Extracting #8: cost 0 inf + 129463 130.702 * * [simplify]: Extracting #9: cost 0 inf + 127947 130.719 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 130.720 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 130.720 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 130.720 * * [simplify]: iters left: 6 (12 enodes) 130.724 * * [simplify]: iters left: 5 (48 enodes) 130.734 * * [simplify]: iters left: 4 (71 enodes) 130.753 * * [simplify]: iters left: 3 (115 enodes) 130.777 * * [simplify]: iters left: 2 (229 enodes) 130.855 * * [simplify]: iters left: 1 (482 enodes) 131.112 * * [simplify]: Extracting #0: cost 1 inf + 0 131.112 * * [simplify]: Extracting #1: cost 51 inf + 0 131.113 * * [simplify]: Extracting #2: cost 148 inf + 0 131.115 * * [simplify]: Extracting #3: cost 238 inf + 3 131.117 * * [simplify]: Extracting #4: cost 257 inf + 100 131.119 * * [simplify]: Extracting #5: cost 253 inf + 759 131.125 * * [simplify]: Extracting #6: cost 163 inf + 19133 131.154 * * [simplify]: Extracting #7: cost 46 inf + 90480 131.190 * * [simplify]: Extracting #8: cost 1 inf + 131121 131.226 * * [simplify]: Extracting #9: cost 0 inf + 124474 131.246 * * [simplify]: Extracting #10: cost 0 inf + 123284 131.270 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 131.270 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 131.270 * * * * [progress]: [ 87 / 675 ] simplifiying candidate # 131.271 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 131.271 * * [simplify]: iters left: 6 (8 enodes) 131.276 * * [simplify]: iters left: 5 (33 enodes) 131.290 * * [simplify]: iters left: 4 (56 enodes) 131.307 * * [simplify]: iters left: 3 (104 enodes) 131.329 * * [simplify]: iters left: 2 (223 enodes) 131.411 * * [simplify]: Extracting #0: cost 1 inf + 0 131.411 * * [simplify]: Extracting #1: cost 32 inf + 0 131.411 * * [simplify]: Extracting #2: cost 98 inf + 3 131.412 * * [simplify]: Extracting #3: cost 138 inf + 7 131.412 * * [simplify]: Extracting #4: cost 132 inf + 1182 131.414 * * [simplify]: Extracting #5: cost 59 inf + 19446 131.420 * * [simplify]: Extracting #6: cost 1 inf + 50160 131.427 * * [simplify]: Extracting #7: cost 0 inf + 50164 131.437 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 131.437 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 131.438 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 131.438 * * [simplify]: iters left: 6 (11 enodes) 131.444 * * [simplify]: iters left: 5 (45 enodes) 131.459 * * [simplify]: iters left: 4 (68 enodes) 131.480 * * [simplify]: iters left: 3 (112 enodes) 131.506 * * [simplify]: iters left: 2 (229 enodes) 131.567 * * [simplify]: iters left: 1 (485 enodes) 131.798 * * [simplify]: Extracting #0: cost 1 inf + 0 131.799 * * [simplify]: Extracting #1: cost 52 inf + 0 131.800 * * [simplify]: Extracting #2: cost 168 inf + 0 131.801 * * [simplify]: Extracting #3: cost 259 inf + 3 131.804 * * [simplify]: Extracting #4: cost 262 inf + 888 131.811 * * [simplify]: Extracting #5: cost 187 inf + 13529 131.836 * * [simplify]: Extracting #6: cost 41 inf + 103437 131.874 * * [simplify]: Extracting #7: cost 0 inf + 138756 131.916 * * [simplify]: Extracting #8: cost 0 inf + 137976 131.953 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 131.953 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 131.954 * * * * [progress]: [ 88 / 675 ] simplifiying candidate # 131.954 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 131.954 * * [simplify]: iters left: 6 (17 enodes) 131.964 * * [simplify]: iters left: 5 (72 enodes) 131.987 * * [simplify]: iters left: 4 (116 enodes) 132.025 * * [simplify]: iters left: 3 (166 enodes) 132.066 * * [simplify]: iters left: 2 (267 enodes) 132.160 * * [simplify]: iters left: 1 (447 enodes) 132.355 * * [simplify]: Extracting #0: cost 1 inf + 0 132.355 * * [simplify]: Extracting #1: cost 11 inf + 0 132.355 * * [simplify]: Extracting #2: cost 22 inf + 0 132.355 * * [simplify]: Extracting #3: cost 52 inf + 0 132.356 * * [simplify]: Extracting #4: cost 137 inf + 1 132.357 * * [simplify]: Extracting #5: cost 192 inf + 260 132.360 * * [simplify]: Extracting #6: cost 148 inf + 5471 132.367 * * [simplify]: Extracting #7: cost 82 inf + 17864 132.382 * * [simplify]: Extracting #8: cost 24 inf + 62423 132.395 * * [simplify]: Extracting #9: cost 1 inf + 78382 132.410 * * [simplify]: Extracting #10: cost 0 inf + 78458 132.432 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 132.432 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 132.432 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 132.433 * * [simplify]: iters left: 6 (15 enodes) 132.441 * * [simplify]: iters left: 5 (60 enodes) 132.461 * * [simplify]: iters left: 4 (93 enodes) 132.478 * * [simplify]: iters left: 3 (136 enodes) 132.502 * * [simplify]: iters left: 2 (217 enodes) 132.563 * * [simplify]: iters left: 1 (396 enodes) 132.730 * * [simplify]: Extracting #0: cost 1 inf + 0 132.730 * * [simplify]: Extracting #1: cost 4 inf + 0 132.730 * * [simplify]: Extracting #2: cost 8 inf + 0 132.730 * * [simplify]: Extracting #3: cost 38 inf + 0 132.731 * * [simplify]: Extracting #4: cost 116 inf + 1 132.732 * * [simplify]: Extracting #5: cost 170 inf + 426 132.739 * * [simplify]: Extracting #6: cost 87 inf + 29350 132.762 * * [simplify]: Extracting #7: cost 2 inf + 59850 132.781 * * [simplify]: Extracting #8: cost 0 inf + 57282 132.798 * * [simplify]: Extracting #9: cost 0 inf + 56770 132.831 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 132.831 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 132.831 * * * * [progress]: [ 89 / 675 ] simplifiying candidate # 132.832 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 132.832 * * [simplify]: iters left: 6 (17 enodes) 132.841 * * [simplify]: iters left: 5 (69 enodes) 132.860 * * [simplify]: iters left: 4 (106 enodes) 132.877 * * [simplify]: iters left: 3 (151 enodes) 132.919 * * [simplify]: iters left: 2 (232 enodes) 132.983 * * [simplify]: iters left: 1 (417 enodes) 133.137 * * [simplify]: Extracting #0: cost 1 inf + 0 133.137 * * [simplify]: Extracting #1: cost 7 inf + 0 133.137 * * [simplify]: Extracting #2: cost 15 inf + 0 133.137 * * [simplify]: Extracting #3: cost 44 inf + 0 133.138 * * [simplify]: Extracting #4: cost 124 inf + 1 133.139 * * [simplify]: Extracting #5: cost 179 inf + 219 133.142 * * [simplify]: Extracting #6: cost 128 inf + 8719 133.153 * * [simplify]: Extracting #7: cost 46 inf + 31748 133.172 * * [simplify]: Extracting #8: cost 6 inf + 62065 133.192 * * [simplify]: Extracting #9: cost 0 inf + 66198 133.203 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) 133.203 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 133.203 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 133.204 * * [simplify]: iters left: 6 (15 enodes) 133.208 * * [simplify]: iters left: 5 (60 enodes) 133.218 * * [simplify]: iters left: 4 (93 enodes) 133.244 * * [simplify]: iters left: 3 (136 enodes) 133.277 * * [simplify]: iters left: 2 (217 enodes) 133.345 * * [simplify]: iters left: 1 (396 enodes) 133.477 * * [simplify]: Extracting #0: cost 1 inf + 0 133.477 * * [simplify]: Extracting #1: cost 4 inf + 0 133.477 * * [simplify]: Extracting #2: cost 8 inf + 0 133.477 * * [simplify]: Extracting #3: cost 38 inf + 0 133.478 * * [simplify]: Extracting #4: cost 116 inf + 1 133.479 * * [simplify]: Extracting #5: cost 170 inf + 426 133.486 * * [simplify]: Extracting #6: cost 87 inf + 29390 133.503 * * [simplify]: Extracting #7: cost 2 inf + 59930 133.517 * * [simplify]: Extracting #8: cost 0 inf + 57362 133.540 * * [simplify]: Extracting #9: cost 0 inf + 56850 133.555 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 133.555 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 133.556 * * * * [progress]: [ 90 / 675 ] simplifiying candidate # 133.556 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 133.556 * * [simplify]: iters left: 6 (17 enodes) 133.561 * * [simplify]: iters left: 5 (69 enodes) 133.583 * * [simplify]: iters left: 4 (106 enodes) 133.617 * * [simplify]: iters left: 3 (151 enodes) 133.657 * * [simplify]: iters left: 2 (232 enodes) 133.717 * * [simplify]: iters left: 1 (417 enodes) 133.920 * * [simplify]: Extracting #0: cost 1 inf + 0 133.920 * * [simplify]: Extracting #1: cost 7 inf + 0 133.920 * * [simplify]: Extracting #2: cost 14 inf + 0 133.920 * * [simplify]: Extracting #3: cost 43 inf + 0 133.921 * * [simplify]: Extracting #4: cost 124 inf + 1 133.921 * * [simplify]: Extracting #5: cost 179 inf + 219 133.923 * * [simplify]: Extracting #6: cost 122 inf + 10253 133.929 * * [simplify]: Extracting #7: cost 44 inf + 33433 133.947 * * [simplify]: Extracting #8: cost 6 inf + 61591 133.957 * * [simplify]: Extracting #9: cost 0 inf + 65330 133.967 * * [simplify]: Extracting #10: cost 0 inf + 65290 133.978 * * [simplify]: Extracting #11: cost 0 inf + 65250 133.998 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) 133.998 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 133.998 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 133.999 * * [simplify]: iters left: 6 (15 enodes) 134.007 * * [simplify]: iters left: 5 (60 enodes) 134.027 * * [simplify]: iters left: 4 (93 enodes) 134.056 * * [simplify]: iters left: 3 (136 enodes) 134.102 * * [simplify]: iters left: 2 (217 enodes) 134.184 * * [simplify]: iters left: 1 (396 enodes) 134.338 * * [simplify]: Extracting #0: cost 1 inf + 0 134.338 * * [simplify]: Extracting #1: cost 4 inf + 0 134.338 * * [simplify]: Extracting #2: cost 8 inf + 0 134.339 * * [simplify]: Extracting #3: cost 38 inf + 0 134.339 * * [simplify]: Extracting #4: cost 116 inf + 1 134.341 * * [simplify]: Extracting #5: cost 170 inf + 426 134.349 * * [simplify]: Extracting #6: cost 87 inf + 29470 134.367 * * [simplify]: Extracting #7: cost 2 inf + 60010 134.384 * * [simplify]: Extracting #8: cost 0 inf + 57442 134.399 * * [simplify]: Extracting #9: cost 0 inf + 56930 134.414 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 134.414 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 134.414 * * * * [progress]: [ 91 / 675 ] simplifiying candidate # 134.414 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 134.414 * * [simplify]: iters left: 6 (16 enodes) 134.419 * * [simplify]: iters left: 5 (65 enodes) 134.430 * * [simplify]: iters left: 4 (102 enodes) 134.460 * * [simplify]: iters left: 3 (144 enodes) 134.487 * * [simplify]: iters left: 2 (224 enodes) 134.541 * * [simplify]: iters left: 1 (400 enodes) 134.725 * * [simplify]: Extracting #0: cost 1 inf + 0 134.725 * * [simplify]: Extracting #1: cost 7 inf + 0 134.725 * * [simplify]: Extracting #2: cost 14 inf + 0 134.725 * * [simplify]: Extracting #3: cost 44 inf + 0 134.726 * * [simplify]: Extracting #4: cost 122 inf + 1 134.726 * * [simplify]: Extracting #5: cost 162 inf + 1348 134.729 * * [simplify]: Extracting #6: cost 106 inf + 13656 134.733 * * [simplify]: Extracting #7: cost 52 inf + 28053 134.742 * * [simplify]: Extracting #8: cost 5 inf + 64753 134.757 * * [simplify]: Extracting #9: cost 0 inf + 67489 134.777 * * [simplify]: Extracting #10: cost 0 inf + 66908 134.792 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 134.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 134.792 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 134.792 * * [simplify]: iters left: 6 (15 enodes) 134.799 * * [simplify]: iters left: 5 (60 enodes) 134.809 * * [simplify]: iters left: 4 (93 enodes) 134.825 * * [simplify]: iters left: 3 (136 enodes) 134.856 * * [simplify]: iters left: 2 (217 enodes) 134.941 * * [simplify]: iters left: 1 (396 enodes) 135.097 * * [simplify]: Extracting #0: cost 1 inf + 0 135.097 * * [simplify]: Extracting #1: cost 4 inf + 0 135.097 * * [simplify]: Extracting #2: cost 8 inf + 0 135.097 * * [simplify]: Extracting #3: cost 38 inf + 0 135.098 * * [simplify]: Extracting #4: cost 116 inf + 1 135.100 * * [simplify]: Extracting #5: cost 170 inf + 426 135.107 * * [simplify]: Extracting #6: cost 87 inf + 29230 135.130 * * [simplify]: Extracting #7: cost 2 inf + 59690 135.150 * * [simplify]: Extracting #8: cost 0 inf + 57122 135.165 * * [simplify]: Extracting #9: cost 0 inf + 56610 135.189 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 135.189 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 135.189 * * * * [progress]: [ 92 / 675 ] simplifiying candidate # 135.190 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) 135.190 * * [simplify]: iters left: 6 (15 enodes) 135.201 * * [simplify]: iters left: 5 (62 enodes) 135.214 * * [simplify]: iters left: 4 (99 enodes) 135.233 * * [simplify]: iters left: 3 (145 enodes) 135.256 * * [simplify]: iters left: 2 (231 enodes) 135.316 * * [simplify]: iters left: 1 (413 enodes) 135.553 * * [simplify]: Extracting #0: cost 1 inf + 0 135.553 * * [simplify]: Extracting #1: cost 5 inf + 0 135.553 * * [simplify]: Extracting #2: cost 7 inf + 1 135.553 * * [simplify]: Extracting #3: cost 34 inf + 1 135.557 * * [simplify]: Extracting #4: cost 111 inf + 2 135.558 * * [simplify]: Extracting #5: cost 167 inf + 218 135.558 * * [simplify]: Extracting #6: cost 168 inf + 686 135.561 * * [simplify]: Extracting #7: cost 95 inf + 9830 135.567 * * [simplify]: Extracting #8: cost 24 inf + 49558 135.578 * * [simplify]: Extracting #9: cost 4 inf + 65038 135.600 * * [simplify]: Extracting #10: cost 0 inf + 66424 135.622 * * [simplify]: Extracting #11: cost 0 inf + 66253 135.637 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 135.637 * [simplify]: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 135.638 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 135.638 * * [simplify]: iters left: 6 (14 enodes) 135.642 * * [simplify]: iters left: 5 (57 enodes) 135.652 * * [simplify]: iters left: 4 (90 enodes) 135.674 * * [simplify]: iters left: 3 (129 enodes) 135.716 * * [simplify]: iters left: 2 (209 enodes) 135.773 * * [simplify]: iters left: 1 (388 enodes) 135.900 * * [simplify]: Extracting #0: cost 1 inf + 0 135.900 * * [simplify]: Extracting #1: cost 4 inf + 0 135.900 * * [simplify]: Extracting #2: cost 8 inf + 0 135.900 * * [simplify]: Extracting #3: cost 37 inf + 0 135.901 * * [simplify]: Extracting #4: cost 114 inf + 124 135.902 * * [simplify]: Extracting #5: cost 156 inf + 671 135.906 * * [simplify]: Extracting #6: cost 108 inf + 7544 135.919 * * [simplify]: Extracting #7: cost 35 inf + 39979 135.939 * * [simplify]: Extracting #8: cost 0 inf + 70196 135.963 * * [simplify]: Extracting #9: cost 0 inf + 69343 135.984 * * [simplify]: Extracting #10: cost 0 inf + 69091 136.006 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 136.006 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 136.006 * * * * [progress]: [ 93 / 675 ] simplifiying candidate # 136.007 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 136.007 * * [simplify]: iters left: 6 (16 enodes) 136.016 * * [simplify]: iters left: 5 (65 enodes) 136.038 * * [simplify]: iters left: 4 (102 enodes) 136.054 * * [simplify]: iters left: 3 (144 enodes) 136.085 * * [simplify]: iters left: 2 (224 enodes) 136.143 * * [simplify]: iters left: 1 (400 enodes) 136.698 * * [simplify]: Extracting #0: cost 1 inf + 0 136.698 * * [simplify]: Extracting #1: cost 7 inf + 0 136.698 * * [simplify]: Extracting #2: cost 14 inf + 0 136.698 * * [simplify]: Extracting #3: cost 44 inf + 0 136.699 * * [simplify]: Extracting #4: cost 122 inf + 1 136.700 * * [simplify]: Extracting #5: cost 162 inf + 1348 136.704 * * [simplify]: Extracting #6: cost 106 inf + 13656 136.712 * * [simplify]: Extracting #7: cost 52 inf + 28053 136.721 * * [simplify]: Extracting #8: cost 5 inf + 64753 136.731 * * [simplify]: Extracting #9: cost 0 inf + 67489 136.746 * * [simplify]: Extracting #10: cost 0 inf + 66908 136.766 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 136.767 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 136.767 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 136.767 * * [simplify]: iters left: 6 (15 enodes) 136.775 * * [simplify]: iters left: 5 (60 enodes) 136.784 * * [simplify]: iters left: 4 (93 enodes) 136.800 * * [simplify]: iters left: 3 (136 enodes) 136.834 * * [simplify]: iters left: 2 (217 enodes) 136.889 * * [simplify]: iters left: 1 (396 enodes) 137.045 * * [simplify]: Extracting #0: cost 1 inf + 0 137.045 * * [simplify]: Extracting #1: cost 4 inf + 0 137.045 * * [simplify]: Extracting #2: cost 8 inf + 0 137.045 * * [simplify]: Extracting #3: cost 38 inf + 0 137.046 * * [simplify]: Extracting #4: cost 116 inf + 1 137.046 * * [simplify]: Extracting #5: cost 170 inf + 426 137.050 * * [simplify]: Extracting #6: cost 87 inf + 29230 137.061 * * [simplify]: Extracting #7: cost 2 inf + 59690 137.089 * * [simplify]: Extracting #8: cost 0 inf + 57122 137.117 * * [simplify]: Extracting #9: cost 0 inf + 56610 137.132 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 137.132 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 137.132 * * * * [progress]: [ 94 / 675 ] simplifiying candidate # 137.133 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 137.133 * * [simplify]: iters left: 6 (14 enodes) 137.137 * * [simplify]: iters left: 5 (59 enodes) 137.147 * * [simplify]: iters left: 4 (96 enodes) 137.165 * * [simplify]: iters left: 3 (138 enodes) 137.190 * * [simplify]: iters left: 2 (219 enodes) 137.249 * * [simplify]: iters left: 1 (402 enodes) 137.440 * * [simplify]: Extracting #0: cost 1 inf + 0 137.440 * * [simplify]: Extracting #1: cost 5 inf + 0 137.440 * * [simplify]: Extracting #2: cost 7 inf + 1 137.440 * * [simplify]: Extracting #3: cost 35 inf + 1 137.440 * * [simplify]: Extracting #4: cost 109 inf + 2 137.441 * * [simplify]: Extracting #5: cost 168 inf + 218 137.442 * * [simplify]: Extracting #6: cost 171 inf + 478 137.444 * * [simplify]: Extracting #7: cost 108 inf + 7484 137.450 * * [simplify]: Extracting #8: cost 36 inf + 34754 137.463 * * [simplify]: Extracting #9: cost 3 inf + 63813 137.478 * * [simplify]: Extracting #10: cost 0 inf + 65844 137.500 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 137.500 * [simplify]: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 137.500 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 137.500 * * [simplify]: iters left: 6 (14 enodes) 137.508 * * [simplify]: iters left: 5 (57 enodes) 137.528 * * [simplify]: iters left: 4 (90 enodes) 137.556 * * [simplify]: iters left: 3 (129 enodes) 137.581 * * [simplify]: iters left: 2 (209 enodes) 137.653 * * [simplify]: iters left: 1 (388 enodes) 137.837 * * [simplify]: Extracting #0: cost 1 inf + 0 137.837 * * [simplify]: Extracting #1: cost 4 inf + 0 137.838 * * [simplify]: Extracting #2: cost 8 inf + 0 137.838 * * [simplify]: Extracting #3: cost 37 inf + 0 137.838 * * [simplify]: Extracting #4: cost 114 inf + 124 137.839 * * [simplify]: Extracting #5: cost 156 inf + 671 137.843 * * [simplify]: Extracting #6: cost 108 inf + 7544 137.855 * * [simplify]: Extracting #7: cost 35 inf + 39979 137.873 * * [simplify]: Extracting #8: cost 0 inf + 70196 137.884 * * [simplify]: Extracting #9: cost 0 inf + 69343 137.902 * * [simplify]: Extracting #10: cost 0 inf + 69091 137.912 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 137.912 * [simplify]: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 137.912 * * * * [progress]: [ 95 / 675 ] simplifiying candidate # 137.913 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 137.913 * * [simplify]: iters left: 6 (16 enodes) 137.921 * * [simplify]: iters left: 5 (65 enodes) 137.932 * * [simplify]: iters left: 4 (102 enodes) 137.962 * * [simplify]: iters left: 3 (144 enodes) 138.010 * * [simplify]: iters left: 2 (224 enodes) 138.088 * * [simplify]: iters left: 1 (400 enodes) 138.243 * * [simplify]: Extracting #0: cost 1 inf + 0 138.243 * * [simplify]: Extracting #1: cost 7 inf + 0 138.243 * * [simplify]: Extracting #2: cost 14 inf + 0 138.244 * * [simplify]: Extracting #3: cost 44 inf + 0 138.244 * * [simplify]: Extracting #4: cost 122 inf + 1 138.246 * * [simplify]: Extracting #5: cost 162 inf + 1348 138.255 * * [simplify]: Extracting #6: cost 106 inf + 13656 138.264 * * [simplify]: Extracting #7: cost 52 inf + 28053 138.282 * * [simplify]: Extracting #8: cost 5 inf + 64753 138.302 * * [simplify]: Extracting #9: cost 0 inf + 67489 138.316 * * [simplify]: Extracting #10: cost 0 inf + 66908 138.327 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 138.327 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 138.327 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 138.327 * * [simplify]: iters left: 6 (15 enodes) 138.332 * * [simplify]: iters left: 5 (60 enodes) 138.342 * * [simplify]: iters left: 4 (93 enodes) 138.358 * * [simplify]: iters left: 3 (136 enodes) 138.388 * * [simplify]: iters left: 2 (217 enodes) 138.463 * * [simplify]: iters left: 1 (396 enodes) 138.632 * * [simplify]: Extracting #0: cost 1 inf + 0 138.632 * * [simplify]: Extracting #1: cost 4 inf + 0 138.632 * * [simplify]: Extracting #2: cost 8 inf + 0 138.632 * * [simplify]: Extracting #3: cost 38 inf + 0 138.633 * * [simplify]: Extracting #4: cost 116 inf + 1 138.633 * * [simplify]: Extracting #5: cost 170 inf + 426 138.637 * * [simplify]: Extracting #6: cost 87 inf + 29230 138.648 * * [simplify]: Extracting #7: cost 2 inf + 59690 138.666 * * [simplify]: Extracting #8: cost 0 inf + 57122 138.695 * * [simplify]: Extracting #9: cost 0 inf + 56610 138.710 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 138.710 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 138.710 * * * * [progress]: [ 96 / 675 ] simplifiying candidate # 138.710 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 138.711 * * [simplify]: iters left: 6 (13 enodes) 138.715 * * [simplify]: iters left: 5 (54 enodes) 138.724 * * [simplify]: iters left: 4 (95 enodes) 138.752 * * [simplify]: iters left: 3 (139 enodes) 138.799 * * [simplify]: iters left: 2 (220 enodes) 138.848 * * [simplify]: iters left: 1 (398 enodes) 139.037 * * [simplify]: Extracting #0: cost 1 inf + 0 139.037 * * [simplify]: Extracting #1: cost 5 inf + 0 139.038 * * [simplify]: Extracting #2: cost 7 inf + 1 139.038 * * [simplify]: Extracting #3: cost 36 inf + 1 139.038 * * [simplify]: Extracting #4: cost 116 inf + 2 139.040 * * [simplify]: Extracting #5: cost 176 inf + 176 139.042 * * [simplify]: Extracting #6: cost 149 inf + 4286 139.051 * * [simplify]: Extracting #7: cost 55 inf + 26926 139.069 * * [simplify]: Extracting #8: cost 10 inf + 59882 139.089 * * [simplify]: Extracting #9: cost 0 inf + 67997 139.110 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 139.110 * [simplify]: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 139.111 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 139.111 * * [simplify]: iters left: 6 (14 enodes) 139.119 * * [simplify]: iters left: 5 (57 enodes) 139.142 * * [simplify]: iters left: 4 (90 enodes) 139.170 * * [simplify]: iters left: 3 (129 enodes) 139.213 * * [simplify]: iters left: 2 (209 enodes) 139.273 * * [simplify]: iters left: 1 (388 enodes) 139.428 * * [simplify]: Extracting #0: cost 1 inf + 0 139.428 * * [simplify]: Extracting #1: cost 4 inf + 0 139.428 * * [simplify]: Extracting #2: cost 8 inf + 0 139.428 * * [simplify]: Extracting #3: cost 37 inf + 0 139.429 * * [simplify]: Extracting #4: cost 114 inf + 124 139.430 * * [simplify]: Extracting #5: cost 156 inf + 671 139.434 * * [simplify]: Extracting #6: cost 108 inf + 7544 139.451 * * [simplify]: Extracting #7: cost 35 inf + 39979 139.470 * * [simplify]: Extracting #8: cost 0 inf + 70196 139.491 * * [simplify]: Extracting #9: cost 0 inf + 69343 139.512 * * [simplify]: Extracting #10: cost 0 inf + 69091 139.532 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 139.532 * [simplify]: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 139.532 * * * * [progress]: [ 97 / 675 ] simplifiying candidate # 139.533 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 139.533 * * [simplify]: iters left: 6 (16 enodes) 139.542 * * [simplify]: iters left: 5 (65 enodes) 139.562 * * [simplify]: iters left: 4 (101 enodes) 139.577 * * [simplify]: iters left: 3 (139 enodes) 139.604 * * [simplify]: iters left: 2 (219 enodes) 139.653 * * [simplify]: iters left: 1 (400 enodes) 139.835 * * [simplify]: Extracting #0: cost 1 inf + 0 139.835 * * [simplify]: Extracting #1: cost 6 inf + 0 139.835 * * [simplify]: Extracting #2: cost 13 inf + 0 139.835 * * [simplify]: Extracting #3: cost 42 inf + 0 139.836 * * [simplify]: Extracting #4: cost 130 inf + 1 139.837 * * [simplify]: Extracting #5: cost 164 inf + 510 139.841 * * [simplify]: Extracting #6: cost 97 inf + 14158 139.852 * * [simplify]: Extracting #7: cost 28 inf + 41145 139.871 * * [simplify]: Extracting #8: cost 3 inf + 59622 139.896 * * [simplify]: Extracting #9: cost 0 inf + 62345 139.917 * * [simplify]: Extracting #10: cost 0 inf + 62306 139.939 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 139.940 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 139.940 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 139.940 * * [simplify]: iters left: 6 (15 enodes) 139.950 * * [simplify]: iters left: 5 (60 enodes) 139.969 * * [simplify]: iters left: 4 (94 enodes) 139.999 * * [simplify]: iters left: 3 (137 enodes) 140.045 * * [simplify]: iters left: 2 (222 enodes) 140.127 * * [simplify]: iters left: 1 (404 enodes) 140.274 * * [simplify]: Extracting #0: cost 1 inf + 0 140.274 * * [simplify]: Extracting #1: cost 4 inf + 0 140.274 * * [simplify]: Extracting #2: cost 9 inf + 0 140.274 * * [simplify]: Extracting #3: cost 43 inf + 0 140.275 * * [simplify]: Extracting #4: cost 137 inf + 1 140.275 * * [simplify]: Extracting #5: cost 176 inf + 303 140.277 * * [simplify]: Extracting #6: cost 125 inf + 7711 140.281 * * [simplify]: Extracting #7: cost 62 inf + 22060 140.290 * * [simplify]: Extracting #8: cost 9 inf + 61100 140.308 * * [simplify]: Extracting #9: cost 0 inf + 68412 140.334 * * [simplify]: Extracting #10: cost 0 inf + 67883 140.355 * * [simplify]: Extracting #11: cost 0 inf + 67291 140.365 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) 140.366 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 140.366 * * * * [progress]: [ 98 / 675 ] simplifiying candidate # 140.366 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 140.366 * * [simplify]: iters left: 6 (16 enodes) 140.371 * * [simplify]: iters left: 5 (64 enodes) 140.381 * * [simplify]: iters left: 4 (98 enodes) 140.400 * * [simplify]: iters left: 3 (137 enodes) 140.432 * * [simplify]: iters left: 2 (217 enodes) 140.491 * * [simplify]: iters left: 1 (391 enodes) 140.635 * * [simplify]: Extracting #0: cost 1 inf + 0 140.635 * * [simplify]: Extracting #1: cost 4 inf + 0 140.635 * * [simplify]: Extracting #2: cost 10 inf + 0 140.635 * * [simplify]: Extracting #3: cost 44 inf + 0 140.636 * * [simplify]: Extracting #4: cost 129 inf + 1 140.636 * * [simplify]: Extracting #5: cost 174 inf + 262 140.638 * * [simplify]: Extracting #6: cost 123 inf + 6390 140.642 * * [simplify]: Extracting #7: cost 52 inf + 22666 140.651 * * [simplify]: Extracting #8: cost 2 inf + 63469 140.668 * * [simplify]: Extracting #9: cost 0 inf + 62718 140.689 * * [simplify]: Extracting #10: cost 0 inf + 61941 140.709 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 140.709 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 140.710 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 140.710 * * [simplify]: iters left: 6 (15 enodes) 140.718 * * [simplify]: iters left: 5 (60 enodes) 140.732 * * [simplify]: iters left: 4 (94 enodes) 140.748 * * [simplify]: iters left: 3 (137 enodes) 140.790 * * [simplify]: iters left: 2 (222 enodes) 140.848 * * [simplify]: iters left: 1 (404 enodes) 141.005 * * [simplify]: Extracting #0: cost 1 inf + 0 141.005 * * [simplify]: Extracting #1: cost 4 inf + 0 141.005 * * [simplify]: Extracting #2: cost 9 inf + 0 141.005 * * [simplify]: Extracting #3: cost 43 inf + 0 141.005 * * [simplify]: Extracting #4: cost 137 inf + 1 141.006 * * [simplify]: Extracting #5: cost 176 inf + 303 141.008 * * [simplify]: Extracting #6: cost 125 inf + 7751 141.012 * * [simplify]: Extracting #7: cost 62 inf + 22140 141.021 * * [simplify]: Extracting #8: cost 9 inf + 61180 141.038 * * [simplify]: Extracting #9: cost 0 inf + 68492 141.059 * * [simplify]: Extracting #10: cost 0 inf + 67963 141.082 * * [simplify]: Extracting #11: cost 0 inf + 67371 141.103 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) 141.103 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 141.103 * * * * [progress]: [ 99 / 675 ] simplifiying candidate # 141.104 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 141.104 * * [simplify]: iters left: 6 (16 enodes) 141.112 * * [simplify]: iters left: 5 (64 enodes) 141.136 * * [simplify]: iters left: 4 (98 enodes) 141.152 * * [simplify]: iters left: 3 (137 enodes) 141.177 * * [simplify]: iters left: 2 (217 enodes) 141.230 * * [simplify]: iters left: 1 (391 enodes) 141.441 * * [simplify]: Extracting #0: cost 1 inf + 0 141.441 * * [simplify]: Extracting #1: cost 4 inf + 0 141.441 * * [simplify]: Extracting #2: cost 9 inf + 0 141.441 * * [simplify]: Extracting #3: cost 43 inf + 0 141.442 * * [simplify]: Extracting #4: cost 129 inf + 1 141.443 * * [simplify]: Extracting #5: cost 174 inf + 262 141.446 * * [simplify]: Extracting #6: cost 121 inf + 7140 141.458 * * [simplify]: Extracting #7: cost 54 inf + 20878 141.474 * * [simplify]: Extracting #8: cost 4 inf + 59449 141.494 * * [simplify]: Extracting #9: cost 0 inf + 62587 141.515 * * [simplify]: Extracting #10: cost 0 inf + 61941 141.533 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) 141.533 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 141.533 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 141.533 * * [simplify]: iters left: 6 (15 enodes) 141.538 * * [simplify]: iters left: 5 (60 enodes) 141.548 * * [simplify]: iters left: 4 (94 enodes) 141.565 * * [simplify]: iters left: 3 (137 enodes) 141.612 * * [simplify]: iters left: 2 (222 enodes) 141.658 * * [simplify]: iters left: 1 (404 enodes) 141.829 * * [simplify]: Extracting #0: cost 1 inf + 0 141.829 * * [simplify]: Extracting #1: cost 4 inf + 0 141.829 * * [simplify]: Extracting #2: cost 9 inf + 0 141.829 * * [simplify]: Extracting #3: cost 43 inf + 0 141.830 * * [simplify]: Extracting #4: cost 137 inf + 1 141.831 * * [simplify]: Extracting #5: cost 176 inf + 303 141.834 * * [simplify]: Extracting #6: cost 125 inf + 7831 141.842 * * [simplify]: Extracting #7: cost 62 inf + 22220 141.863 * * [simplify]: Extracting #8: cost 9 inf + 61260 141.882 * * [simplify]: Extracting #9: cost 0 inf + 68572 141.892 * * [simplify]: Extracting #10: cost 0 inf + 68043 141.903 * * [simplify]: Extracting #11: cost 0 inf + 67451 141.918 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) 141.918 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 141.918 * * * * [progress]: [ 100 / 675 ] simplifiying candidate # 141.919 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 141.919 * * [simplify]: iters left: 6 (15 enodes) 141.927 * * [simplify]: iters left: 5 (60 enodes) 141.946 * * [simplify]: iters left: 4 (94 enodes) 141.961 * * [simplify]: iters left: 3 (137 enodes) 141.994 * * [simplify]: iters left: 2 (222 enodes) 142.047 * * [simplify]: iters left: 1 (404 enodes) 142.254 * * [simplify]: Extracting #0: cost 1 inf + 0 142.255 * * [simplify]: Extracting #1: cost 4 inf + 0 142.255 * * [simplify]: Extracting #2: cost 9 inf + 0 142.255 * * [simplify]: Extracting #3: cost 43 inf + 0 142.255 * * [simplify]: Extracting #4: cost 137 inf + 1 142.256 * * [simplify]: Extracting #5: cost 176 inf + 303 142.257 * * [simplify]: Extracting #6: cost 125 inf + 7631 142.261 * * [simplify]: Extracting #7: cost 62 inf + 21940 142.273 * * [simplify]: Extracting #8: cost 9 inf + 60940 142.288 * * [simplify]: Extracting #9: cost 0 inf + 68252 142.309 * * [simplify]: Extracting #10: cost 0 inf + 67723 142.322 * * [simplify]: Extracting #11: cost 0 inf + 67131 142.333 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 142.333 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 142.333 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 142.334 * * [simplify]: iters left: 6 (15 enodes) 142.338 * * [simplify]: iters left: 5 (60 enodes) 142.351 * * [simplify]: iters left: 4 (94 enodes) 142.379 * * [simplify]: iters left: 3 (137 enodes) 142.419 * * [simplify]: iters left: 2 (222 enodes) 142.463 * * [simplify]: iters left: 1 (404 enodes) 142.636 * * [simplify]: Extracting #0: cost 1 inf + 0 142.637 * * [simplify]: Extracting #1: cost 4 inf + 0 142.637 * * [simplify]: Extracting #2: cost 9 inf + 0 142.637 * * [simplify]: Extracting #3: cost 43 inf + 0 142.638 * * [simplify]: Extracting #4: cost 137 inf + 1 142.639 * * [simplify]: Extracting #5: cost 176 inf + 303 142.642 * * [simplify]: Extracting #6: cost 125 inf + 7631 142.650 * * [simplify]: Extracting #7: cost 62 inf + 21940 142.672 * * [simplify]: Extracting #8: cost 9 inf + 60940 142.694 * * [simplify]: Extracting #9: cost 0 inf + 68252 142.715 * * [simplify]: Extracting #10: cost 0 inf + 67723 142.733 * * [simplify]: Extracting #11: cost 0 inf + 67131 142.744 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 142.744 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 142.744 * * * * [progress]: [ 101 / 675 ] simplifiying candidate # 142.744 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) 142.745 * * [simplify]: iters left: 6 (14 enodes) 142.750 * * [simplify]: iters left: 5 (57 enodes) 142.764 * * [simplify]: iters left: 4 (91 enodes) 142.791 * * [simplify]: iters left: 3 (131 enodes) 142.828 * * [simplify]: iters left: 2 (212 enodes) 142.881 * * [simplify]: iters left: 1 (394 enodes) 143.054 * * [simplify]: Extracting #0: cost 1 inf + 0 143.054 * * [simplify]: Extracting #1: cost 5 inf + 0 143.054 * * [simplify]: Extracting #2: cost 35 inf + 1 143.055 * * [simplify]: Extracting #3: cost 122 inf + 2 143.056 * * [simplify]: Extracting #4: cost 159 inf + 219 143.058 * * [simplify]: Extracting #5: cost 158 inf + 519 143.061 * * [simplify]: Extracting #6: cost 93 inf + 8412 143.074 * * [simplify]: Extracting #7: cost 28 inf + 41654 143.092 * * [simplify]: Extracting #8: cost 2 inf + 63639 143.107 * * [simplify]: Extracting #9: cost 0 inf + 65975 143.116 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 143.116 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 143.117 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 143.117 * * [simplify]: iters left: 6 (14 enodes) 143.121 * * [simplify]: iters left: 5 (57 enodes) 143.134 * * [simplify]: iters left: 4 (91 enodes) 143.157 * * [simplify]: iters left: 3 (129 enodes) 143.199 * * [simplify]: iters left: 2 (209 enodes) 143.277 * * [simplify]: iters left: 1 (391 enodes) 143.445 * * [simplify]: Extracting #0: cost 1 inf + 0 143.445 * * [simplify]: Extracting #1: cost 4 inf + 0 143.445 * * [simplify]: Extracting #2: cost 9 inf + 0 143.445 * * [simplify]: Extracting #3: cost 45 inf + 0 143.446 * * [simplify]: Extracting #4: cost 130 inf + 124 143.446 * * [simplify]: Extracting #5: cost 152 inf + 2081 143.449 * * [simplify]: Extracting #6: cost 90 inf + 13684 143.459 * * [simplify]: Extracting #7: cost 32 inf + 43626 143.479 * * [simplify]: Extracting #8: cost 0 inf + 71135 143.491 * * [simplify]: Extracting #9: cost 0 inf + 69413 143.505 * * [simplify]: Extracting #10: cost 0 inf + 67369 143.530 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 143.530 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 143.530 * * * * [progress]: [ 102 / 675 ] simplifiying candidate # 143.531 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 143.531 * * [simplify]: iters left: 6 (15 enodes) 143.537 * * [simplify]: iters left: 5 (60 enodes) 143.547 * * [simplify]: iters left: 4 (94 enodes) 143.562 * * [simplify]: iters left: 3 (137 enodes) 143.599 * * [simplify]: iters left: 2 (222 enodes) 143.660 * * [simplify]: iters left: 1 (404 enodes) 143.836 * * [simplify]: Extracting #0: cost 1 inf + 0 143.836 * * [simplify]: Extracting #1: cost 4 inf + 0 143.836 * * [simplify]: Extracting #2: cost 9 inf + 0 143.836 * * [simplify]: Extracting #3: cost 43 inf + 0 143.837 * * [simplify]: Extracting #4: cost 137 inf + 1 143.838 * * [simplify]: Extracting #5: cost 176 inf + 303 143.842 * * [simplify]: Extracting #6: cost 125 inf + 7631 143.850 * * [simplify]: Extracting #7: cost 62 inf + 21940 143.871 * * [simplify]: Extracting #8: cost 9 inf + 60940 143.894 * * [simplify]: Extracting #9: cost 0 inf + 68252 143.915 * * [simplify]: Extracting #10: cost 0 inf + 67723 143.926 * * [simplify]: Extracting #11: cost 0 inf + 67131 143.937 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 143.937 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 143.938 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 143.938 * * [simplify]: iters left: 6 (15 enodes) 143.942 * * [simplify]: iters left: 5 (60 enodes) 143.958 * * [simplify]: iters left: 4 (94 enodes) 143.988 * * [simplify]: iters left: 3 (137 enodes) 144.035 * * [simplify]: iters left: 2 (222 enodes) 144.106 * * [simplify]: iters left: 1 (404 enodes) 144.254 * * [simplify]: Extracting #0: cost 1 inf + 0 144.254 * * [simplify]: Extracting #1: cost 4 inf + 0 144.254 * * [simplify]: Extracting #2: cost 9 inf + 0 144.254 * * [simplify]: Extracting #3: cost 43 inf + 0 144.255 * * [simplify]: Extracting #4: cost 137 inf + 1 144.255 * * [simplify]: Extracting #5: cost 176 inf + 303 144.257 * * [simplify]: Extracting #6: cost 125 inf + 7631 144.261 * * [simplify]: Extracting #7: cost 62 inf + 21940 144.273 * * [simplify]: Extracting #8: cost 9 inf + 60940 144.284 * * [simplify]: Extracting #9: cost 0 inf + 68252 144.295 * * [simplify]: Extracting #10: cost 0 inf + 67723 144.306 * * [simplify]: Extracting #11: cost 0 inf + 67131 144.316 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 144.317 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 144.317 * * * * [progress]: [ 103 / 675 ] simplifiying candidate # 144.317 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 144.317 * * [simplify]: iters left: 6 (13 enodes) 144.321 * * [simplify]: iters left: 5 (54 enodes) 144.331 * * [simplify]: iters left: 4 (88 enodes) 144.345 * * [simplify]: iters left: 3 (129 enodes) 144.370 * * [simplify]: iters left: 2 (210 enodes) 144.410 * * [simplify]: iters left: 1 (396 enodes) 144.538 * * [simplify]: Extracting #0: cost 1 inf + 0 144.538 * * [simplify]: Extracting #1: cost 5 inf + 0 144.538 * * [simplify]: Extracting #2: cost 37 inf + 1 144.538 * * [simplify]: Extracting #3: cost 132 inf + 2 144.539 * * [simplify]: Extracting #4: cost 179 inf + 177 144.540 * * [simplify]: Extracting #5: cost 161 inf + 1755 144.543 * * [simplify]: Extracting #6: cost 82 inf + 12697 144.550 * * [simplify]: Extracting #7: cost 24 inf + 50034 144.567 * * [simplify]: Extracting #8: cost 0 inf + 71007 144.591 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 144.591 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 144.592 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 144.592 * * [simplify]: iters left: 6 (14 enodes) 144.601 * * [simplify]: iters left: 5 (57 enodes) 144.620 * * [simplify]: iters left: 4 (91 enodes) 144.648 * * [simplify]: iters left: 3 (129 enodes) 144.691 * * [simplify]: iters left: 2 (209 enodes) 144.749 * * [simplify]: iters left: 1 (391 enodes) 144.860 * * [simplify]: Extracting #0: cost 1 inf + 0 144.860 * * [simplify]: Extracting #1: cost 4 inf + 0 144.860 * * [simplify]: Extracting #2: cost 9 inf + 0 144.860 * * [simplify]: Extracting #3: cost 45 inf + 0 144.861 * * [simplify]: Extracting #4: cost 130 inf + 124 144.862 * * [simplify]: Extracting #5: cost 152 inf + 2081 144.864 * * [simplify]: Extracting #6: cost 90 inf + 13684 144.876 * * [simplify]: Extracting #7: cost 32 inf + 43626 144.898 * * [simplify]: Extracting #8: cost 0 inf + 71135 144.916 * * [simplify]: Extracting #9: cost 0 inf + 69413 144.929 * * [simplify]: Extracting #10: cost 0 inf + 67369 144.945 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 144.945 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 144.945 * * * * [progress]: [ 104 / 675 ] simplifiying candidate # 144.945 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 144.946 * * [simplify]: iters left: 6 (15 enodes) 144.953 * * [simplify]: iters left: 5 (60 enodes) 144.974 * * [simplify]: iters left: 4 (94 enodes) 144.997 * * [simplify]: iters left: 3 (137 enodes) 145.032 * * [simplify]: iters left: 2 (222 enodes) 145.078 * * [simplify]: iters left: 1 (404 enodes) 145.256 * * [simplify]: Extracting #0: cost 1 inf + 0 145.256 * * [simplify]: Extracting #1: cost 4 inf + 0 145.256 * * [simplify]: Extracting #2: cost 9 inf + 0 145.257 * * [simplify]: Extracting #3: cost 43 inf + 0 145.257 * * [simplify]: Extracting #4: cost 137 inf + 1 145.259 * * [simplify]: Extracting #5: cost 176 inf + 303 145.262 * * [simplify]: Extracting #6: cost 125 inf + 7631 145.270 * * [simplify]: Extracting #7: cost 62 inf + 21940 145.288 * * [simplify]: Extracting #8: cost 9 inf + 60940 145.311 * * [simplify]: Extracting #9: cost 0 inf + 68252 145.333 * * [simplify]: Extracting #10: cost 0 inf + 67723 145.355 * * [simplify]: Extracting #11: cost 0 inf + 67131 145.376 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 145.376 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 145.376 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 145.376 * * [simplify]: iters left: 6 (15 enodes) 145.381 * * [simplify]: iters left: 5 (60 enodes) 145.391 * * [simplify]: iters left: 4 (94 enodes) 145.420 * * [simplify]: iters left: 3 (137 enodes) 145.459 * * [simplify]: iters left: 2 (222 enodes) 145.510 * * [simplify]: iters left: 1 (404 enodes) 145.680 * * [simplify]: Extracting #0: cost 1 inf + 0 145.680 * * [simplify]: Extracting #1: cost 4 inf + 0 145.680 * * [simplify]: Extracting #2: cost 9 inf + 0 145.680 * * [simplify]: Extracting #3: cost 43 inf + 0 145.681 * * [simplify]: Extracting #4: cost 137 inf + 1 145.682 * * [simplify]: Extracting #5: cost 176 inf + 303 145.685 * * [simplify]: Extracting #6: cost 125 inf + 7631 145.693 * * [simplify]: Extracting #7: cost 62 inf + 21940 145.711 * * [simplify]: Extracting #8: cost 9 inf + 60940 145.733 * * [simplify]: Extracting #9: cost 0 inf + 68252 145.754 * * [simplify]: Extracting #10: cost 0 inf + 67723 145.775 * * [simplify]: Extracting #11: cost 0 inf + 67131 145.797 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 145.797 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 145.797 * * * * [progress]: [ 105 / 675 ] simplifiying candidate # 145.797 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 145.798 * * [simplify]: iters left: 6 (12 enodes) 145.804 * * [simplify]: iters left: 5 (49 enodes) 145.821 * * [simplify]: iters left: 4 (83 enodes) 145.847 * * [simplify]: iters left: 3 (128 enodes) 145.871 * * [simplify]: iters left: 2 (214 enodes) 145.936 * * [simplify]: iters left: 1 (396 enodes) 146.137 * * [simplify]: Extracting #0: cost 1 inf + 0 146.137 * * [simplify]: Extracting #1: cost 5 inf + 0 146.137 * * [simplify]: Extracting #2: cost 37 inf + 1 146.138 * * [simplify]: Extracting #3: cost 138 inf + 2 146.139 * * [simplify]: Extracting #4: cost 176 inf + 177 146.141 * * [simplify]: Extracting #5: cost 158 inf + 1758 146.148 * * [simplify]: Extracting #6: cost 75 inf + 23439 146.172 * * [simplify]: Extracting #7: cost 3 inf + 69089 146.193 * * [simplify]: Extracting #8: cost 0 inf + 70821 146.208 * * [simplify]: Extracting #9: cost 0 inf + 70600 146.219 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 146.219 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 146.220 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 146.220 * * [simplify]: iters left: 6 (14 enodes) 146.224 * * [simplify]: iters left: 5 (57 enodes) 146.236 * * [simplify]: iters left: 4 (91 enodes) 146.264 * * [simplify]: iters left: 3 (129 enodes) 146.308 * * [simplify]: iters left: 2 (209 enodes) 146.367 * * [simplify]: iters left: 1 (391 enodes) 146.549 * * [simplify]: Extracting #0: cost 1 inf + 0 146.549 * * [simplify]: Extracting #1: cost 4 inf + 0 146.549 * * [simplify]: Extracting #2: cost 9 inf + 0 146.549 * * [simplify]: Extracting #3: cost 45 inf + 0 146.549 * * [simplify]: Extracting #4: cost 130 inf + 124 146.550 * * [simplify]: Extracting #5: cost 152 inf + 2081 146.553 * * [simplify]: Extracting #6: cost 90 inf + 13684 146.561 * * [simplify]: Extracting #7: cost 32 inf + 43626 146.582 * * [simplify]: Extracting #8: cost 0 inf + 71135 146.606 * * [simplify]: Extracting #9: cost 0 inf + 69413 146.636 * * [simplify]: Extracting #10: cost 0 inf + 67369 146.660 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 146.660 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 146.660 * * * * [progress]: [ 106 / 675 ] simplifiying candidate # 146.661 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 146.661 * * [simplify]: iters left: 6 (7 enodes) 146.665 * * [simplify]: iters left: 5 (25 enodes) 146.672 * * [simplify]: iters left: 4 (29 enodes) 146.681 * * [simplify]: Extracting #0: cost 1 inf + 0 146.681 * * [simplify]: Extracting #1: cost 6 inf + 0 146.681 * * [simplify]: Extracting #2: cost 9 inf + 1 146.681 * * [simplify]: Extracting #3: cost 11 inf + 1 146.681 * * [simplify]: Extracting #4: cost 13 inf + 1 146.681 * * [simplify]: Extracting #5: cost 12 inf + 2 146.682 * * [simplify]: Extracting #6: cost 8 inf + 246 146.682 * * [simplify]: Extracting #7: cost 5 inf + 810 146.682 * * [simplify]: Extracting #8: cost 1 inf + 1616 146.683 * * [simplify]: Extracting #9: cost 0 inf + 1858 146.683 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 146.683 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 146.684 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) 146.684 * * [simplify]: iters left: 6 (14 enodes) 146.691 * * [simplify]: iters left: 5 (57 enodes) 146.711 * * [simplify]: iters left: 4 (92 enodes) 146.741 * * [simplify]: iters left: 3 (137 enodes) 146.781 * * [simplify]: iters left: 2 (233 enodes) 146.848 * * [simplify]: iters left: 1 (473 enodes) 147.080 * * [simplify]: Extracting #0: cost 1 inf + 0 147.080 * * [simplify]: Extracting #1: cost 53 inf + 0 147.085 * * [simplify]: Extracting #2: cost 159 inf + 0 147.086 * * [simplify]: Extracting #3: cost 227 inf + 3 147.087 * * [simplify]: Extracting #4: cost 242 inf + 225 147.088 * * [simplify]: Extracting #5: cost 226 inf + 3406 147.091 * * [simplify]: Extracting #6: cost 150 inf + 14010 147.101 * * [simplify]: Extracting #7: cost 65 inf + 85147 147.133 * * [simplify]: Extracting #8: cost 0 inf + 147444 147.175 * * [simplify]: Extracting #9: cost 0 inf + 143219 147.217 * * [simplify]: Extracting #10: cost 0 inf + 142897 147.249 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) 147.249 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 147.249 * * * * [progress]: [ 107 / 675 ] simplifiying candidate # 147.249 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 147.249 * * [simplify]: iters left: 6 (7 enodes) 147.251 * * [simplify]: iters left: 5 (24 enodes) 147.255 * * [simplify]: iters left: 4 (26 enodes) 147.259 * * [simplify]: Extracting #0: cost 1 inf + 0 147.259 * * [simplify]: Extracting #1: cost 4 inf + 0 147.259 * * [simplify]: Extracting #2: cost 6 inf + 1 147.259 * * [simplify]: Extracting #3: cost 9 inf + 1 147.259 * * [simplify]: Extracting #4: cost 11 inf + 1 147.259 * * [simplify]: Extracting #5: cost 8 inf + 84 147.260 * * [simplify]: Extracting #6: cost 2 inf + 1052 147.260 * * [simplify]: Extracting #7: cost 0 inf + 1374 147.260 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 147.260 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 147.260 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) 147.260 * * [simplify]: iters left: 6 (14 enodes) 147.264 * * [simplify]: iters left: 5 (57 enodes) 147.277 * * [simplify]: iters left: 4 (92 enodes) 147.299 * * [simplify]: iters left: 3 (137 enodes) 147.335 * * [simplify]: iters left: 2 (233 enodes) 147.401 * * [simplify]: iters left: 1 (473 enodes) 147.621 * * [simplify]: Extracting #0: cost 1 inf + 0 147.621 * * [simplify]: Extracting #1: cost 53 inf + 0 147.622 * * [simplify]: Extracting #2: cost 159 inf + 0 147.622 * * [simplify]: Extracting #3: cost 227 inf + 3 147.623 * * [simplify]: Extracting #4: cost 242 inf + 225 147.625 * * [simplify]: Extracting #5: cost 226 inf + 3486 147.628 * * [simplify]: Extracting #6: cost 150 inf + 14090 147.646 * * [simplify]: Extracting #7: cost 65 inf + 85227 147.682 * * [simplify]: Extracting #8: cost 0 inf + 147524 147.703 * * [simplify]: Extracting #9: cost 0 inf + 143299 147.741 * * [simplify]: Extracting #10: cost 0 inf + 142977 147.769 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) 147.769 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 147.769 * * * * [progress]: [ 108 / 675 ] simplifiying candidate # 147.770 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 147.770 * * [simplify]: iters left: 6 (7 enodes) 147.774 * * [simplify]: iters left: 5 (24 enodes) 147.781 * * [simplify]: iters left: 4 (26 enodes) 147.789 * * [simplify]: Extracting #0: cost 1 inf + 0 147.789 * * [simplify]: Extracting #1: cost 4 inf + 0 147.789 * * [simplify]: Extracting #2: cost 5 inf + 1 147.789 * * [simplify]: Extracting #3: cost 8 inf + 1 147.789 * * [simplify]: Extracting #4: cost 11 inf + 1 147.789 * * [simplify]: Extracting #5: cost 8 inf + 164 147.790 * * [simplify]: Extracting #6: cost 2 inf + 1092 147.790 * * [simplify]: Extracting #7: cost 0 inf + 1374 147.790 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 147.790 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 147.791 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) 147.791 * * [simplify]: iters left: 6 (14 enodes) 147.795 * * [simplify]: iters left: 5 (57 enodes) 147.805 * * [simplify]: iters left: 4 (92 enodes) 147.820 * * [simplify]: iters left: 3 (137 enodes) 147.865 * * [simplify]: iters left: 2 (233 enodes) 147.957 * * [simplify]: iters left: 1 (473 enodes) 148.170 * * [simplify]: Extracting #0: cost 1 inf + 0 148.170 * * [simplify]: Extracting #1: cost 53 inf + 0 148.171 * * [simplify]: Extracting #2: cost 159 inf + 0 148.172 * * [simplify]: Extracting #3: cost 227 inf + 3 148.174 * * [simplify]: Extracting #4: cost 242 inf + 225 148.176 * * [simplify]: Extracting #5: cost 226 inf + 3526 148.182 * * [simplify]: Extracting #6: cost 150 inf + 14170 148.203 * * [simplify]: Extracting #7: cost 65 inf + 85307 148.223 * * [simplify]: Extracting #8: cost 0 inf + 147604 148.244 * * [simplify]: Extracting #9: cost 0 inf + 143379 148.266 * * [simplify]: Extracting #10: cost 0 inf + 143057 148.287 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) 148.287 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 148.287 * * * * [progress]: [ 109 / 675 ] simplifiying candidate # 148.288 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 148.288 * * [simplify]: iters left: 5 (6 enodes) 148.289 * * [simplify]: iters left: 4 (20 enodes) 148.292 * * [simplify]: iters left: 3 (22 enodes) 148.296 * * [simplify]: Extracting #0: cost 1 inf + 0 148.296 * * [simplify]: Extracting #1: cost 4 inf + 0 148.296 * * [simplify]: Extracting #2: cost 5 inf + 1 148.296 * * [simplify]: Extracting #3: cost 7 inf + 1 148.296 * * [simplify]: Extracting #4: cost 9 inf + 1 148.296 * * [simplify]: Extracting #5: cost 8 inf + 2 148.296 * * [simplify]: Extracting #6: cost 1 inf + 650 148.296 * * [simplify]: Extracting #7: cost 0 inf + 812 148.296 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 148.296 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 148.296 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 148.297 * * [simplify]: iters left: 6 (14 enodes) 148.300 * * [simplify]: iters left: 5 (57 enodes) 148.312 * * [simplify]: iters left: 4 (92 enodes) 148.340 * * [simplify]: iters left: 3 (137 enodes) 148.383 * * [simplify]: iters left: 2 (233 enodes) 148.436 * * [simplify]: iters left: 1 (473 enodes) 148.662 * * [simplify]: Extracting #0: cost 1 inf + 0 148.662 * * [simplify]: Extracting #1: cost 53 inf + 0 148.662 * * [simplify]: Extracting #2: cost 159 inf + 0 148.663 * * [simplify]: Extracting #3: cost 227 inf + 3 148.664 * * [simplify]: Extracting #4: cost 242 inf + 225 148.665 * * [simplify]: Extracting #5: cost 226 inf + 3286 148.669 * * [simplify]: Extracting #6: cost 150 inf + 13770 148.679 * * [simplify]: Extracting #7: cost 65 inf + 82987 148.699 * * [simplify]: Extracting #8: cost 0 inf + 143924 148.738 * * [simplify]: Extracting #9: cost 0 inf + 139699 148.769 * * [simplify]: Extracting #10: cost 0 inf + 139377 148.798 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 148.799 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 148.799 * * * * [progress]: [ 110 / 675 ] simplifiying candidate # 148.799 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 148.799 * * [simplify]: iters left: 4 (4 enodes) 148.803 * * [simplify]: iters left: 3 (14 enodes) 148.806 * * [simplify]: iters left: 2 (16 enodes) 148.810 * * [simplify]: Extracting #0: cost 1 inf + 0 148.810 * * [simplify]: Extracting #1: cost 0 inf + 1 148.810 * [simplify]: Simplified to 1 148.810 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 148.810 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 148.810 * * [simplify]: iters left: 6 (13 enodes) 148.817 * * [simplify]: iters left: 5 (54 enodes) 148.835 * * [simplify]: iters left: 4 (89 enodes) 148.857 * * [simplify]: iters left: 3 (138 enodes) 148.883 * * [simplify]: iters left: 2 (235 enodes) 148.971 * * [simplify]: iters left: 1 (482 enodes) 149.170 * * [simplify]: Extracting #0: cost 1 inf + 0 149.171 * * [simplify]: Extracting #1: cost 47 inf + 0 149.171 * * [simplify]: Extracting #2: cost 151 inf + 0 149.173 * * [simplify]: Extracting #3: cost 236 inf + 3 149.175 * * [simplify]: Extracting #4: cost 237 inf + 1090 149.182 * * [simplify]: Extracting #5: cost 145 inf + 22239 149.194 * * [simplify]: Extracting #6: cost 48 inf + 88677 149.213 * * [simplify]: Extracting #7: cost 0 inf + 131862 149.240 * * [simplify]: Extracting #8: cost 0 inf + 127030 149.267 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 149.267 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 149.268 * * * * [progress]: [ 111 / 675 ] simplifiying candidate # 149.268 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 149.268 * * [simplify]: iters left: 5 (6 enodes) 149.271 * * [simplify]: iters left: 4 (20 enodes) 149.278 * * [simplify]: iters left: 3 (22 enodes) 149.284 * * [simplify]: Extracting #0: cost 1 inf + 0 149.284 * * [simplify]: Extracting #1: cost 4 inf + 0 149.284 * * [simplify]: Extracting #2: cost 5 inf + 1 149.285 * * [simplify]: Extracting #3: cost 7 inf + 1 149.285 * * [simplify]: Extracting #4: cost 9 inf + 1 149.285 * * [simplify]: Extracting #5: cost 8 inf + 2 149.285 * * [simplify]: Extracting #6: cost 1 inf + 650 149.285 * * [simplify]: Extracting #7: cost 0 inf + 812 149.285 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 149.285 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 149.286 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 149.286 * * [simplify]: iters left: 6 (14 enodes) 149.294 * * [simplify]: iters left: 5 (57 enodes) 149.313 * * [simplify]: iters left: 4 (92 enodes) 149.340 * * [simplify]: iters left: 3 (137 enodes) 149.367 * * [simplify]: iters left: 2 (233 enodes) 149.421 * * [simplify]: iters left: 1 (473 enodes) 149.661 * * [simplify]: Extracting #0: cost 1 inf + 0 149.661 * * [simplify]: Extracting #1: cost 53 inf + 0 149.662 * * [simplify]: Extracting #2: cost 159 inf + 0 149.663 * * [simplify]: Extracting #3: cost 227 inf + 3 149.664 * * [simplify]: Extracting #4: cost 242 inf + 225 149.665 * * [simplify]: Extracting #5: cost 226 inf + 3286 149.668 * * [simplify]: Extracting #6: cost 150 inf + 13770 149.678 * * [simplify]: Extracting #7: cost 65 inf + 82987 149.707 * * [simplify]: Extracting #8: cost 0 inf + 143924 149.750 * * [simplify]: Extracting #9: cost 0 inf + 139699 149.789 * * [simplify]: Extracting #10: cost 0 inf + 139377 149.811 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 149.811 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 149.811 * * * * [progress]: [ 112 / 675 ] simplifiying candidate # 149.812 * [simplify]: Simplifying (/ 1 (sqrt 1)) 149.812 * * [simplify]: iters left: 3 (3 enodes) 149.818 * * [simplify]: iters left: 2 (11 enodes) 149.821 * * [simplify]: iters left: 1 (13 enodes) 149.825 * * [simplify]: Extracting #0: cost 1 inf + 0 149.825 * * [simplify]: Extracting #1: cost 0 inf + 1 149.825 * [simplify]: Simplified to 1 149.825 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 149.825 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 149.825 * * [simplify]: iters left: 6 (13 enodes) 149.833 * * [simplify]: iters left: 5 (54 enodes) 149.851 * * [simplify]: iters left: 4 (89 enodes) 149.866 * * [simplify]: iters left: 3 (138 enodes) 149.904 * * [simplify]: iters left: 2 (235 enodes) 149.969 * * [simplify]: iters left: 1 (482 enodes) 150.193 * * [simplify]: Extracting #0: cost 1 inf + 0 150.193 * * [simplify]: Extracting #1: cost 47 inf + 0 150.193 * * [simplify]: Extracting #2: cost 151 inf + 0 150.194 * * [simplify]: Extracting #3: cost 236 inf + 3 150.196 * * [simplify]: Extracting #4: cost 237 inf + 1090 150.199 * * [simplify]: Extracting #5: cost 145 inf + 22239 150.215 * * [simplify]: Extracting #6: cost 48 inf + 88677 150.233 * * [simplify]: Extracting #7: cost 0 inf + 131862 150.270 * * [simplify]: Extracting #8: cost 0 inf + 127030 150.313 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 150.313 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 150.314 * * * * [progress]: [ 113 / 675 ] simplifiying candidate # 150.314 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 150.314 * * [simplify]: iters left: 5 (6 enodes) 150.318 * * [simplify]: iters left: 4 (20 enodes) 150.324 * * [simplify]: iters left: 3 (22 enodes) 150.330 * * [simplify]: Extracting #0: cost 1 inf + 0 150.330 * * [simplify]: Extracting #1: cost 4 inf + 0 150.330 * * [simplify]: Extracting #2: cost 5 inf + 1 150.330 * * [simplify]: Extracting #3: cost 7 inf + 1 150.330 * * [simplify]: Extracting #4: cost 9 inf + 1 150.331 * * [simplify]: Extracting #5: cost 8 inf + 2 150.331 * * [simplify]: Extracting #6: cost 1 inf + 650 150.331 * * [simplify]: Extracting #7: cost 0 inf + 812 150.331 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 150.331 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 150.332 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 150.332 * * [simplify]: iters left: 6 (14 enodes) 150.339 * * [simplify]: iters left: 5 (57 enodes) 150.349 * * [simplify]: iters left: 4 (92 enodes) 150.365 * * [simplify]: iters left: 3 (137 enodes) 150.411 * * [simplify]: iters left: 2 (233 enodes) 150.481 * * [simplify]: iters left: 1 (473 enodes) 150.688 * * [simplify]: Extracting #0: cost 1 inf + 0 150.688 * * [simplify]: Extracting #1: cost 53 inf + 0 150.688 * * [simplify]: Extracting #2: cost 159 inf + 0 150.692 * * [simplify]: Extracting #3: cost 227 inf + 3 150.694 * * [simplify]: Extracting #4: cost 242 inf + 225 150.697 * * [simplify]: Extracting #5: cost 226 inf + 3286 150.703 * * [simplify]: Extracting #6: cost 150 inf + 13770 150.724 * * [simplify]: Extracting #7: cost 65 inf + 82987 150.764 * * [simplify]: Extracting #8: cost 0 inf + 143924 150.802 * * [simplify]: Extracting #9: cost 0 inf + 139699 150.823 * * [simplify]: Extracting #10: cost 0 inf + 139377 150.846 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 150.846 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 150.846 * * * * [progress]: [ 114 / 675 ] simplifiying candidate # 150.846 * [simplify]: Simplifying (/ 1 1) 150.846 * * [simplify]: iters left: 2 (2 enodes) 150.848 * * [simplify]: iters left: 1 (6 enodes) 150.850 * * [simplify]: Extracting #0: cost 1 inf + 0 150.850 * * [simplify]: Extracting #1: cost 0 inf + 1 150.850 * [simplify]: Simplified to 1 150.850 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 150.850 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 150.851 * * [simplify]: iters left: 6 (13 enodes) 150.858 * * [simplify]: iters left: 5 (54 enodes) 150.869 * * [simplify]: iters left: 4 (89 enodes) 150.884 * * [simplify]: iters left: 3 (138 enodes) 150.917 * * [simplify]: iters left: 2 (235 enodes) 150.988 * * [simplify]: iters left: 1 (482 enodes) 151.221 * * [simplify]: Extracting #0: cost 1 inf + 0 151.222 * * [simplify]: Extracting #1: cost 47 inf + 0 151.223 * * [simplify]: Extracting #2: cost 151 inf + 0 151.224 * * [simplify]: Extracting #3: cost 236 inf + 3 151.226 * * [simplify]: Extracting #4: cost 237 inf + 1090 151.233 * * [simplify]: Extracting #5: cost 145 inf + 22239 151.256 * * [simplify]: Extracting #6: cost 48 inf + 88677 151.293 * * [simplify]: Extracting #7: cost 0 inf + 131862 151.318 * * [simplify]: Extracting #8: cost 0 inf + 127030 151.348 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 151.348 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 151.348 * * * * [progress]: [ 115 / 675 ] simplifiying candidate # 151.349 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 151.349 * * [simplify]: iters left: 6 (16 enodes) 151.357 * * [simplify]: iters left: 5 (68 enodes) 151.374 * * [simplify]: iters left: 4 (112 enodes) 151.393 * * [simplify]: iters left: 3 (191 enodes) 151.467 * * [simplify]: iters left: 2 (377 enodes) 151.601 * * [simplify]: Extracting #0: cost 1 inf + 0 151.602 * * [simplify]: Extracting #1: cost 54 inf + 0 151.602 * * [simplify]: Extracting #2: cost 149 inf + 0 151.604 * * [simplify]: Extracting #3: cost 230 inf + 2 151.605 * * [simplify]: Extracting #4: cost 246 inf + 181 151.609 * * [simplify]: Extracting #5: cost 216 inf + 9095 151.626 * * [simplify]: Extracting #6: cost 80 inf + 70539 151.654 * * [simplify]: Extracting #7: cost 10 inf + 122115 151.673 * * [simplify]: Extracting #8: cost 0 inf + 127220 151.697 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k))))) 151.697 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 151.697 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) 151.697 * * [simplify]: iters left: 6 (15 enodes) 151.702 * * [simplify]: iters left: 5 (63 enodes) 151.713 * * [simplify]: iters left: 4 (101 enodes) 151.745 * * [simplify]: iters left: 3 (162 enodes) 151.784 * * [simplify]: iters left: 2 (299 enodes) 151.896 * * [simplify]: Extracting #0: cost 1 inf + 0 151.896 * * [simplify]: Extracting #1: cost 30 inf + 0 151.896 * * [simplify]: Extracting #2: cost 72 inf + 0 151.897 * * [simplify]: Extracting #3: cost 140 inf + 2 151.898 * * [simplify]: Extracting #4: cost 155 inf + 223 151.899 * * [simplify]: Extracting #5: cost 154 inf + 847 151.903 * * [simplify]: Extracting #6: cost 93 inf + 7071 151.910 * * [simplify]: Extracting #7: cost 53 inf + 22299 151.927 * * [simplify]: Extracting #8: cost 4 inf + 59967 151.945 * * [simplify]: Extracting #9: cost 0 inf + 63064 151.960 * * [simplify]: Extracting #10: cost 0 inf + 62641 151.969 * * [simplify]: Extracting #11: cost 0 inf + 62510 151.977 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (cbrt (sqrt (sqrt k)))) 151.977 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 151.977 * * * * [progress]: [ 116 / 675 ] simplifiying candidate # 151.978 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 151.978 * * [simplify]: iters left: 6 (16 enodes) 151.983 * * [simplify]: iters left: 5 (67 enodes) 152.001 * * [simplify]: iters left: 4 (105 enodes) 152.031 * * [simplify]: iters left: 3 (169 enodes) 152.071 * * [simplify]: iters left: 2 (309 enodes) 152.146 * * [simplify]: Extracting #0: cost 1 inf + 0 152.146 * * [simplify]: Extracting #1: cost 30 inf + 0 152.147 * * [simplify]: Extracting #2: cost 74 inf + 0 152.147 * * [simplify]: Extracting #3: cost 143 inf + 2 152.148 * * [simplify]: Extracting #4: cost 158 inf + 181 152.150 * * [simplify]: Extracting #5: cost 151 inf + 1424 152.156 * * [simplify]: Extracting #6: cost 72 inf + 20746 152.169 * * [simplify]: Extracting #7: cost 13 inf + 51329 152.182 * * [simplify]: Extracting #8: cost 0 inf + 60861 152.189 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) 152.190 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 152.190 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) 152.190 * * [simplify]: iters left: 6 (15 enodes) 152.194 * * [simplify]: iters left: 5 (63 enodes) 152.205 * * [simplify]: iters left: 4 (101 enodes) 152.244 * * [simplify]: iters left: 3 (162 enodes) 152.302 * * [simplify]: iters left: 2 (299 enodes) 152.419 * * [simplify]: Extracting #0: cost 1 inf + 0 152.419 * * [simplify]: Extracting #1: cost 30 inf + 0 152.420 * * [simplify]: Extracting #2: cost 72 inf + 0 152.420 * * [simplify]: Extracting #3: cost 140 inf + 2 152.421 * * [simplify]: Extracting #4: cost 155 inf + 223 152.422 * * [simplify]: Extracting #5: cost 154 inf + 847 152.424 * * [simplify]: Extracting #6: cost 93 inf + 7151 152.428 * * [simplify]: Extracting #7: cost 53 inf + 22379 152.434 * * [simplify]: Extracting #8: cost 4 inf + 60047 152.443 * * [simplify]: Extracting #9: cost 0 inf + 63144 152.454 * * [simplify]: Extracting #10: cost 0 inf + 62721 152.471 * * [simplify]: Extracting #11: cost 0 inf + 62590 152.488 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (cbrt (sqrt k)))) 152.488 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 152.489 * * * * [progress]: [ 117 / 675 ] simplifiying candidate # 152.489 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 152.489 * * [simplify]: iters left: 6 (16 enodes) 152.501 * * [simplify]: iters left: 5 (67 enodes) 152.522 * * [simplify]: iters left: 4 (105 enodes) 152.558 * * [simplify]: iters left: 3 (169 enodes) 152.619 * * [simplify]: iters left: 2 (309 enodes) 152.706 * * [simplify]: Extracting #0: cost 1 inf + 0 152.706 * * [simplify]: Extracting #1: cost 30 inf + 0 152.706 * * [simplify]: Extracting #2: cost 73 inf + 0 152.706 * * [simplify]: Extracting #3: cost 142 inf + 2 152.707 * * [simplify]: Extracting #4: cost 158 inf + 181 152.708 * * [simplify]: Extracting #5: cost 152 inf + 1341 152.710 * * [simplify]: Extracting #6: cost 71 inf + 21492 152.717 * * [simplify]: Extracting #7: cost 13 inf + 51329 152.728 * * [simplify]: Extracting #8: cost 0 inf + 60861 152.748 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) 152.748 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 152.748 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) 152.749 * * [simplify]: iters left: 6 (15 enodes) 152.757 * * [simplify]: iters left: 5 (63 enodes) 152.778 * * [simplify]: iters left: 4 (101 enodes) 152.804 * * [simplify]: iters left: 3 (162 enodes) 152.845 * * [simplify]: iters left: 2 (299 enodes) 152.925 * * [simplify]: Extracting #0: cost 1 inf + 0 152.925 * * [simplify]: Extracting #1: cost 30 inf + 0 152.926 * * [simplify]: Extracting #2: cost 72 inf + 0 152.926 * * [simplify]: Extracting #3: cost 140 inf + 2 152.927 * * [simplify]: Extracting #4: cost 155 inf + 223 152.929 * * [simplify]: Extracting #5: cost 154 inf + 847 152.932 * * [simplify]: Extracting #6: cost 93 inf + 7231 152.938 * * [simplify]: Extracting #7: cost 53 inf + 22459 152.949 * * [simplify]: Extracting #8: cost 4 inf + 60127 152.960 * * [simplify]: Extracting #9: cost 0 inf + 63224 152.968 * * [simplify]: Extracting #10: cost 0 inf + 62801 152.976 * * [simplify]: Extracting #11: cost 0 inf + 62670 152.985 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (cbrt k)))) 152.985 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k)))) 152.985 * * * * [progress]: [ 118 / 675 ] simplifiying candidate # 152.986 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 152.986 * * [simplify]: iters left: 6 (15 enodes) 152.990 * * [simplify]: iters left: 5 (63 enodes) 153.007 * * [simplify]: iters left: 4 (101 enodes) 153.040 * * [simplify]: iters left: 3 (162 enodes) 153.074 * * [simplify]: iters left: 2 (299 enodes) 153.146 * * [simplify]: Extracting #0: cost 1 inf + 0 153.146 * * [simplify]: Extracting #1: cost 30 inf + 0 153.146 * * [simplify]: Extracting #2: cost 72 inf + 0 153.147 * * [simplify]: Extracting #3: cost 140 inf + 2 153.148 * * [simplify]: Extracting #4: cost 155 inf + 223 153.149 * * [simplify]: Extracting #5: cost 154 inf + 847 153.152 * * [simplify]: Extracting #6: cost 93 inf + 6951 153.159 * * [simplify]: Extracting #7: cost 53 inf + 21739 153.173 * * [simplify]: Extracting #8: cost 4 inf + 58567 153.187 * * [simplify]: Extracting #9: cost 0 inf + 61584 153.197 * * [simplify]: Extracting #10: cost 0 inf + 61161 153.206 * * [simplify]: Extracting #11: cost 0 inf + 61030 153.214 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 153.215 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 153.215 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 153.215 * * [simplify]: iters left: 6 (15 enodes) 153.223 * * [simplify]: iters left: 5 (63 enodes) 153.238 * * [simplify]: iters left: 4 (101 enodes) 153.257 * * [simplify]: iters left: 3 (162 enodes) 153.315 * * [simplify]: iters left: 2 (299 enodes) 153.405 * * [simplify]: Extracting #0: cost 1 inf + 0 153.405 * * [simplify]: Extracting #1: cost 30 inf + 0 153.405 * * [simplify]: Extracting #2: cost 72 inf + 0 153.406 * * [simplify]: Extracting #3: cost 140 inf + 2 153.406 * * [simplify]: Extracting #4: cost 155 inf + 223 153.407 * * [simplify]: Extracting #5: cost 154 inf + 847 153.408 * * [simplify]: Extracting #6: cost 93 inf + 6951 153.412 * * [simplify]: Extracting #7: cost 53 inf + 21739 153.419 * * [simplify]: Extracting #8: cost 4 inf + 58567 153.428 * * [simplify]: Extracting #9: cost 0 inf + 61584 153.437 * * [simplify]: Extracting #10: cost 0 inf + 61161 153.445 * * [simplify]: Extracting #11: cost 0 inf + 61030 153.465 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 153.465 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 153.466 * * * * [progress]: [ 119 / 675 ] simplifiying candidate # 153.466 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) 153.466 * * [simplify]: iters left: 6 (14 enodes) 153.478 * * [simplify]: iters left: 5 (60 enodes) 153.495 * * [simplify]: iters left: 4 (96 enodes) 153.512 * * [simplify]: iters left: 3 (156 enodes) 153.547 * * [simplify]: iters left: 2 (290 enodes) 153.612 * * [simplify]: Extracting #0: cost 1 inf + 0 153.613 * * [simplify]: Extracting #1: cost 25 inf + 0 153.613 * * [simplify]: Extracting #2: cost 88 inf + 2 153.613 * * [simplify]: Extracting #3: cost 132 inf + 51 153.614 * * [simplify]: Extracting #4: cost 130 inf + 640 153.616 * * [simplify]: Extracting #5: cost 65 inf + 10308 153.622 * * [simplify]: Extracting #6: cost 5 inf + 37600 153.633 * * [simplify]: Extracting #7: cost 0 inf + 40339 153.651 * * [simplify]: Extracting #8: cost 0 inf + 40126 153.658 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 153.658 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 153.659 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 153.659 * * [simplify]: iters left: 6 (14 enodes) 153.663 * * [simplify]: iters left: 5 (60 enodes) 153.674 * * [simplify]: iters left: 4 (98 enodes) 153.697 * * [simplify]: iters left: 3 (160 enodes) 153.735 * * [simplify]: iters left: 2 (297 enodes) 153.806 * * [simplify]: Extracting #0: cost 1 inf + 0 153.806 * * [simplify]: Extracting #1: cost 30 inf + 0 153.807 * * [simplify]: Extracting #2: cost 74 inf + 0 153.807 * * [simplify]: Extracting #3: cost 138 inf + 2 153.808 * * [simplify]: Extracting #4: cost 144 inf + 556 153.809 * * [simplify]: Extracting #5: cost 106 inf + 4907 153.813 * * [simplify]: Extracting #6: cost 39 inf + 32944 153.820 * * [simplify]: Extracting #7: cost 1 inf + 58806 153.838 * * [simplify]: Extracting #8: cost 0 inf + 58829 153.853 * * [simplify]: Extracting #9: cost 0 inf + 58567 153.867 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 153.867 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 153.867 * * * * [progress]: [ 120 / 675 ] simplifiying candidate # 153.867 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 153.868 * * [simplify]: iters left: 6 (15 enodes) 153.873 * * [simplify]: iters left: 5 (63 enodes) 153.883 * * [simplify]: iters left: 4 (101 enodes) 153.903 * * [simplify]: iters left: 3 (162 enodes) 153.965 * * [simplify]: iters left: 2 (299 enodes) 154.063 * * [simplify]: Extracting #0: cost 1 inf + 0 154.064 * * [simplify]: Extracting #1: cost 30 inf + 0 154.064 * * [simplify]: Extracting #2: cost 72 inf + 0 154.064 * * [simplify]: Extracting #3: cost 140 inf + 2 154.065 * * [simplify]: Extracting #4: cost 155 inf + 223 154.067 * * [simplify]: Extracting #5: cost 154 inf + 847 154.074 * * [simplify]: Extracting #6: cost 93 inf + 6951 154.077 * * [simplify]: Extracting #7: cost 53 inf + 21739 154.084 * * [simplify]: Extracting #8: cost 4 inf + 58567 154.093 * * [simplify]: Extracting #9: cost 0 inf + 61584 154.101 * * [simplify]: Extracting #10: cost 0 inf + 61161 154.114 * * [simplify]: Extracting #11: cost 0 inf + 61030 154.131 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 154.131 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 154.131 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 154.131 * * [simplify]: iters left: 6 (15 enodes) 154.140 * * [simplify]: iters left: 5 (63 enodes) 154.162 * * [simplify]: iters left: 4 (101 enodes) 154.197 * * [simplify]: iters left: 3 (162 enodes) 154.237 * * [simplify]: iters left: 2 (299 enodes) 154.299 * * [simplify]: Extracting #0: cost 1 inf + 0 154.299 * * [simplify]: Extracting #1: cost 30 inf + 0 154.299 * * [simplify]: Extracting #2: cost 72 inf + 0 154.300 * * [simplify]: Extracting #3: cost 140 inf + 2 154.301 * * [simplify]: Extracting #4: cost 155 inf + 223 154.302 * * [simplify]: Extracting #5: cost 154 inf + 847 154.305 * * [simplify]: Extracting #6: cost 93 inf + 6951 154.312 * * [simplify]: Extracting #7: cost 53 inf + 21739 154.324 * * [simplify]: Extracting #8: cost 4 inf + 58567 154.333 * * [simplify]: Extracting #9: cost 0 inf + 61584 154.341 * * [simplify]: Extracting #10: cost 0 inf + 61161 154.350 * * [simplify]: Extracting #11: cost 0 inf + 61030 154.366 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 154.367 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 154.367 * * * * [progress]: [ 121 / 675 ] simplifiying candidate # 154.367 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 154.367 * * [simplify]: iters left: 6 (13 enodes) 154.371 * * [simplify]: iters left: 5 (57 enodes) 154.384 * * [simplify]: iters left: 4 (93 enodes) 154.403 * * [simplify]: iters left: 3 (153 enodes) 154.458 * * [simplify]: iters left: 2 (288 enodes) 154.549 * * [simplify]: Extracting #0: cost 1 inf + 0 154.549 * * [simplify]: Extracting #1: cost 26 inf + 0 154.550 * * [simplify]: Extracting #2: cost 88 inf + 2 154.551 * * [simplify]: Extracting #3: cost 135 inf + 9 154.552 * * [simplify]: Extracting #4: cost 128 inf + 971 154.556 * * [simplify]: Extracting #5: cost 60 inf + 9259 154.565 * * [simplify]: Extracting #6: cost 17 inf + 30170 154.577 * * [simplify]: Extracting #7: cost 0 inf + 43695 154.591 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 154.591 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 154.591 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 154.591 * * [simplify]: iters left: 6 (14 enodes) 154.597 * * [simplify]: iters left: 5 (60 enodes) 154.612 * * [simplify]: iters left: 4 (98 enodes) 154.634 * * [simplify]: iters left: 3 (160 enodes) 154.675 * * [simplify]: iters left: 2 (297 enodes) 154.751 * * [simplify]: Extracting #0: cost 1 inf + 0 154.752 * * [simplify]: Extracting #1: cost 30 inf + 0 154.752 * * [simplify]: Extracting #2: cost 74 inf + 0 154.753 * * [simplify]: Extracting #3: cost 138 inf + 2 154.754 * * [simplify]: Extracting #4: cost 144 inf + 556 154.757 * * [simplify]: Extracting #5: cost 106 inf + 4907 154.761 * * [simplify]: Extracting #6: cost 39 inf + 32944 154.768 * * [simplify]: Extracting #7: cost 1 inf + 58806 154.776 * * [simplify]: Extracting #8: cost 0 inf + 58829 154.784 * * [simplify]: Extracting #9: cost 0 inf + 58567 154.792 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 154.792 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 154.792 * * * * [progress]: [ 122 / 675 ] simplifiying candidate # 154.795 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 154.795 * * [simplify]: iters left: 6 (15 enodes) 154.800 * * [simplify]: iters left: 5 (63 enodes) 154.812 * * [simplify]: iters left: 4 (101 enodes) 154.840 * * [simplify]: iters left: 3 (162 enodes) 154.889 * * [simplify]: iters left: 2 (299 enodes) 154.965 * * [simplify]: Extracting #0: cost 1 inf + 0 154.965 * * [simplify]: Extracting #1: cost 30 inf + 0 154.965 * * [simplify]: Extracting #2: cost 72 inf + 0 154.965 * * [simplify]: Extracting #3: cost 140 inf + 2 154.966 * * [simplify]: Extracting #4: cost 155 inf + 223 154.967 * * [simplify]: Extracting #5: cost 154 inf + 847 154.968 * * [simplify]: Extracting #6: cost 93 inf + 6951 154.972 * * [simplify]: Extracting #7: cost 53 inf + 21739 154.979 * * [simplify]: Extracting #8: cost 4 inf + 58567 154.990 * * [simplify]: Extracting #9: cost 0 inf + 61584 154.998 * * [simplify]: Extracting #10: cost 0 inf + 61161 155.007 * * [simplify]: Extracting #11: cost 0 inf + 61030 155.021 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 155.021 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 155.022 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 155.022 * * [simplify]: iters left: 6 (15 enodes) 155.030 * * [simplify]: iters left: 5 (63 enodes) 155.052 * * [simplify]: iters left: 4 (101 enodes) 155.079 * * [simplify]: iters left: 3 (162 enodes) 155.117 * * [simplify]: iters left: 2 (299 enodes) 155.191 * * [simplify]: Extracting #0: cost 1 inf + 0 155.191 * * [simplify]: Extracting #1: cost 30 inf + 0 155.192 * * [simplify]: Extracting #2: cost 72 inf + 0 155.193 * * [simplify]: Extracting #3: cost 140 inf + 2 155.194 * * [simplify]: Extracting #4: cost 155 inf + 223 155.196 * * [simplify]: Extracting #5: cost 154 inf + 847 155.199 * * [simplify]: Extracting #6: cost 93 inf + 6951 155.205 * * [simplify]: Extracting #7: cost 53 inf + 21739 155.220 * * [simplify]: Extracting #8: cost 4 inf + 58567 155.237 * * [simplify]: Extracting #9: cost 0 inf + 61584 155.250 * * [simplify]: Extracting #10: cost 0 inf + 61161 155.258 * * [simplify]: Extracting #11: cost 0 inf + 61030 155.267 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 155.267 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 155.267 * * * * [progress]: [ 123 / 675 ] simplifiying candidate # 155.267 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 155.267 * * [simplify]: iters left: 6 (12 enodes) 155.271 * * [simplify]: iters left: 5 (52 enodes) 155.284 * * [simplify]: iters left: 4 (90 enodes) 155.318 * * [simplify]: iters left: 3 (158 enodes) 155.364 * * [simplify]: iters left: 2 (296 enodes) 155.436 * * [simplify]: Extracting #0: cost 1 inf + 0 155.436 * * [simplify]: Extracting #1: cost 29 inf + 0 155.437 * * [simplify]: Extracting #2: cost 109 inf + 2 155.437 * * [simplify]: Extracting #3: cost 157 inf + 219 155.438 * * [simplify]: Extracting #4: cost 153 inf + 846 155.440 * * [simplify]: Extracting #5: cost 93 inf + 8062 155.444 * * [simplify]: Extracting #6: cost 42 inf + 29876 155.451 * * [simplify]: Extracting #7: cost 3 inf + 59415 155.464 * * [simplify]: Extracting #8: cost 0 inf + 61697 155.473 * * [simplify]: Extracting #9: cost 0 inf + 61574 155.482 * * [simplify]: Extracting #10: cost 0 inf + 61533 155.494 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 155.494 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 155.494 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 155.494 * * [simplify]: iters left: 6 (14 enodes) 155.499 * * [simplify]: iters left: 5 (60 enodes) 155.509 * * [simplify]: iters left: 4 (98 enodes) 155.525 * * [simplify]: iters left: 3 (160 enodes) 155.556 * * [simplify]: iters left: 2 (297 enodes) 155.616 * * [simplify]: Extracting #0: cost 1 inf + 0 155.616 * * [simplify]: Extracting #1: cost 30 inf + 0 155.616 * * [simplify]: Extracting #2: cost 74 inf + 0 155.616 * * [simplify]: Extracting #3: cost 138 inf + 2 155.617 * * [simplify]: Extracting #4: cost 144 inf + 556 155.618 * * [simplify]: Extracting #5: cost 106 inf + 4907 155.622 * * [simplify]: Extracting #6: cost 39 inf + 32944 155.636 * * [simplify]: Extracting #7: cost 1 inf + 58806 155.655 * * [simplify]: Extracting #8: cost 0 inf + 58829 155.671 * * [simplify]: Extracting #9: cost 0 inf + 58567 155.684 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 155.684 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 155.684 * * * * [progress]: [ 124 / 675 ] simplifiying candidate # 155.684 * * * * [progress]: [ 125 / 675 ] simplifiying candidate # 155.685 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 155.685 * * [simplify]: iters left: 4 (5 enodes) 155.686 * * [simplify]: iters left: 3 (17 enodes) 155.689 * * [simplify]: iters left: 2 (19 enodes) 155.692 * * [simplify]: Extracting #0: cost 1 inf + 0 155.692 * * [simplify]: Extracting #1: cost 4 inf + 0 155.692 * * [simplify]: Extracting #2: cost 5 inf + 1 155.692 * * [simplify]: Extracting #3: cost 7 inf + 1 155.692 * * [simplify]: Extracting #4: cost 0 inf + 490 155.692 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 155.693 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (sqrt (sqrt k)))) 155.693 * * * * [progress]: [ 126 / 675 ] simplifiying candidate # 155.693 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 155.693 * * [simplify]: iters left: 6 (13 enodes) 155.697 * * [simplify]: iters left: 5 (54 enodes) 155.706 * * [simplify]: iters left: 4 (85 enodes) 155.720 * * [simplify]: iters left: 3 (129 enodes) 155.754 * * [simplify]: iters left: 2 (231 enodes) 155.818 * * [simplify]: iters left: 1 (416 enodes) 156.029 * * [simplify]: Extracting #0: cost 1 inf + 0 156.029 * * [simplify]: Extracting #1: cost 6 inf + 0 156.029 * * [simplify]: Extracting #2: cost 45 inf + 0 156.029 * * [simplify]: Extracting #3: cost 142 inf + 1 156.030 * * [simplify]: Extracting #4: cost 182 inf + 547 156.031 * * [simplify]: Extracting #5: cost 151 inf + 3652 156.034 * * [simplify]: Extracting #6: cost 87 inf + 14805 156.050 * * [simplify]: Extracting #7: cost 20 inf + 65591 156.076 * * [simplify]: Extracting #8: cost 0 inf + 80286 156.102 * * [simplify]: Extracting #9: cost 0 inf + 79511 156.133 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 156.134 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 156.134 * * * * [progress]: [ 127 / 675 ] simplifiying candidate # 156.134 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 156.134 * * [simplify]: iters left: 6 (15 enodes) 156.143 * * [simplify]: iters left: 5 (62 enodes) 156.165 * * [simplify]: iters left: 4 (103 enodes) 156.184 * * [simplify]: iters left: 3 (163 enodes) 156.215 * * [simplify]: iters left: 2 (305 enodes) 156.317 * * [simplify]: Extracting #0: cost 1 inf + 0 156.317 * * [simplify]: Extracting #1: cost 54 inf + 0 156.318 * * [simplify]: Extracting #2: cost 144 inf + 0 156.319 * * [simplify]: Extracting #3: cost 215 inf + 2 156.325 * * [simplify]: Extracting #4: cost 223 inf + 221 156.327 * * [simplify]: Extracting #5: cost 202 inf + 4261 156.334 * * [simplify]: Extracting #6: cost 81 inf + 55459 156.352 * * [simplify]: Extracting #7: cost 3 inf + 110612 156.383 * * [simplify]: Extracting #8: cost 0 inf + 110322 156.406 * * [simplify]: Extracting #9: cost 0 inf + 110162 156.430 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 156.430 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 156.431 * * * * [progress]: [ 128 / 675 ] simplifiying candidate # 156.431 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 156.431 * * [simplify]: iters left: 6 (15 enodes) 156.440 * * [simplify]: iters left: 5 (61 enodes) 156.462 * * [simplify]: iters left: 4 (96 enodes) 156.493 * * [simplify]: iters left: 3 (145 enodes) 156.541 * * [simplify]: iters left: 2 (246 enodes) 156.615 * * [simplify]: iters left: 1 (490 enodes) 156.820 * * [simplify]: Extracting #0: cost 1 inf + 0 156.820 * * [simplify]: Extracting #1: cost 47 inf + 0 156.821 * * [simplify]: Extracting #2: cost 147 inf + 0 156.822 * * [simplify]: Extracting #3: cost 227 inf + 3 156.824 * * [simplify]: Extracting #4: cost 244 inf + 183 156.827 * * [simplify]: Extracting #5: cost 211 inf + 8659 156.849 * * [simplify]: Extracting #6: cost 72 inf + 80335 156.886 * * [simplify]: Extracting #7: cost 1 inf + 137913 156.924 * * [simplify]: Extracting #8: cost 0 inf + 138578 156.957 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 156.957 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))) 156.957 * * * * [progress]: [ 129 / 675 ] simplifiying candidate # 156.957 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 156.957 * * [simplify]: iters left: 6 (15 enodes) 156.962 * * [simplify]: iters left: 5 (61 enodes) 156.972 * * [simplify]: iters left: 4 (96 enodes) 156.996 * * [simplify]: iters left: 3 (145 enodes) 157.040 * * [simplify]: iters left: 2 (246 enodes) 157.113 * * [simplify]: iters left: 1 (490 enodes) 157.349 * * [simplify]: Extracting #0: cost 1 inf + 0 157.349 * * [simplify]: Extracting #1: cost 47 inf + 0 157.350 * * [simplify]: Extracting #2: cost 146 inf + 0 157.351 * * [simplify]: Extracting #3: cost 226 inf + 3 157.352 * * [simplify]: Extracting #4: cost 244 inf + 183 157.353 * * [simplify]: Extracting #5: cost 212 inf + 8578 157.364 * * [simplify]: Extracting #6: cost 72 inf + 80335 157.391 * * [simplify]: Extracting #7: cost 1 inf + 137913 157.429 * * [simplify]: Extracting #8: cost 0 inf + 138578 157.468 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 157.468 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))) 157.468 * * * * [progress]: [ 130 / 675 ] simplifiying candidate # 157.468 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 157.468 * * [simplify]: iters left: 6 (14 enodes) 157.472 * * [simplify]: iters left: 5 (57 enodes) 157.482 * * [simplify]: iters left: 4 (92 enodes) 157.499 * * [simplify]: iters left: 3 (137 enodes) 157.536 * * [simplify]: iters left: 2 (233 enodes) 157.596 * * [simplify]: iters left: 1 (473 enodes) 157.827 * * [simplify]: Extracting #0: cost 1 inf + 0 157.828 * * [simplify]: Extracting #1: cost 53 inf + 0 157.829 * * [simplify]: Extracting #2: cost 159 inf + 0 157.830 * * [simplify]: Extracting #3: cost 227 inf + 3 157.832 * * [simplify]: Extracting #4: cost 242 inf + 225 157.834 * * [simplify]: Extracting #5: cost 226 inf + 3286 157.841 * * [simplify]: Extracting #6: cost 150 inf + 13770 157.862 * * [simplify]: Extracting #7: cost 65 inf + 82987 157.898 * * [simplify]: Extracting #8: cost 0 inf + 143924 157.923 * * [simplify]: Extracting #9: cost 0 inf + 139699 157.965 * * [simplify]: Extracting #10: cost 0 inf + 139377 157.992 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 157.992 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 157.992 * * * * [progress]: [ 131 / 675 ] simplifiying candidate # 157.992 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt 1))) 157.992 * * [simplify]: iters left: 6 (13 enodes) 157.999 * * [simplify]: iters left: 5 (54 enodes) 158.012 * * [simplify]: iters left: 4 (87 enodes) 158.031 * * [simplify]: iters left: 3 (134 enodes) 158.063 * * [simplify]: iters left: 2 (227 enodes) 158.115 * * [simplify]: iters left: 1 (459 enodes) 158.325 * * [simplify]: Extracting #0: cost 1 inf + 0 158.325 * * [simplify]: Extracting #1: cost 56 inf + 0 158.326 * * [simplify]: Extracting #2: cost 164 inf + 2 158.327 * * [simplify]: Extracting #3: cost 226 inf + 176 158.328 * * [simplify]: Extracting #4: cost 213 inf + 1345 158.333 * * [simplify]: Extracting #5: cost 108 inf + 25131 158.351 * * [simplify]: Extracting #6: cost 17 inf + 88305 158.389 * * [simplify]: Extracting #7: cost 0 inf + 99863 158.407 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 158.407 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 158.407 * * * * [progress]: [ 132 / 675 ] simplifiying candidate # 158.407 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 158.407 * * [simplify]: iters left: 6 (14 enodes) 158.411 * * [simplify]: iters left: 5 (57 enodes) 158.427 * * [simplify]: iters left: 4 (92 enodes) 158.457 * * [simplify]: iters left: 3 (137 enodes) 158.502 * * [simplify]: iters left: 2 (233 enodes) 158.587 * * [simplify]: iters left: 1 (473 enodes) 158.822 * * [simplify]: Extracting #0: cost 1 inf + 0 158.822 * * [simplify]: Extracting #1: cost 53 inf + 0 158.823 * * [simplify]: Extracting #2: cost 159 inf + 0 158.825 * * [simplify]: Extracting #3: cost 227 inf + 3 158.826 * * [simplify]: Extracting #4: cost 242 inf + 225 158.834 * * [simplify]: Extracting #5: cost 226 inf + 3286 158.841 * * [simplify]: Extracting #6: cost 150 inf + 13770 158.856 * * [simplify]: Extracting #7: cost 65 inf + 82987 158.876 * * [simplify]: Extracting #8: cost 0 inf + 143924 158.917 * * [simplify]: Extracting #9: cost 0 inf + 139699 158.949 * * [simplify]: Extracting #10: cost 0 inf + 139377 158.978 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 158.978 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 158.978 * * * * [progress]: [ 133 / 675 ] simplifiying candidate # 158.978 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 158.978 * * [simplify]: iters left: 6 (12 enodes) 158.987 * * [simplify]: iters left: 5 (51 enodes) 159.005 * * [simplify]: iters left: 4 (84 enodes) 159.028 * * [simplify]: iters left: 3 (131 enodes) 159.051 * * [simplify]: iters left: 2 (224 enodes) 159.139 * * [simplify]: iters left: 1 (449 enodes) 159.392 * * [simplify]: Extracting #0: cost 1 inf + 0 159.392 * * [simplify]: Extracting #1: cost 62 inf + 0 159.393 * * [simplify]: Extracting #2: cost 171 inf + 2 159.395 * * [simplify]: Extracting #3: cost 231 inf + 259 159.397 * * [simplify]: Extracting #4: cost 218 inf + 1350 159.407 * * [simplify]: Extracting #5: cost 109 inf + 34987 159.434 * * [simplify]: Extracting #6: cost 18 inf + 92387 159.465 * * [simplify]: Extracting #7: cost 0 inf + 108295 159.496 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 159.496 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 159.496 * * * * [progress]: [ 134 / 675 ] simplifiying candidate # 159.496 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 159.497 * * [simplify]: iters left: 6 (14 enodes) 159.504 * * [simplify]: iters left: 5 (57 enodes) 159.524 * * [simplify]: iters left: 4 (92 enodes) 159.556 * * [simplify]: iters left: 3 (137 enodes) 159.595 * * [simplify]: iters left: 2 (233 enodes) 159.658 * * [simplify]: iters left: 1 (473 enodes) 159.878 * * [simplify]: Extracting #0: cost 1 inf + 0 159.878 * * [simplify]: Extracting #1: cost 53 inf + 0 159.878 * * [simplify]: Extracting #2: cost 159 inf + 0 159.879 * * [simplify]: Extracting #3: cost 227 inf + 3 159.880 * * [simplify]: Extracting #4: cost 242 inf + 225 159.881 * * [simplify]: Extracting #5: cost 226 inf + 3286 159.884 * * [simplify]: Extracting #6: cost 150 inf + 13770 159.895 * * [simplify]: Extracting #7: cost 65 inf + 82987 159.921 * * [simplify]: Extracting #8: cost 0 inf + 143924 159.948 * * [simplify]: Extracting #9: cost 0 inf + 139699 159.983 * * [simplify]: Extracting #10: cost 0 inf + 139377 160.019 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 160.020 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 160.020 * * * * [progress]: [ 135 / 675 ] simplifiying candidate # 160.020 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 160.020 * * [simplify]: iters left: 6 (11 enodes) 160.024 * * [simplify]: iters left: 5 (46 enodes) 160.032 * * [simplify]: iters left: 4 (77 enodes) 160.055 * * [simplify]: iters left: 3 (131 enodes) 160.084 * * [simplify]: iters left: 2 (250 enodes) 160.181 * * [simplify]: Extracting #0: cost 1 inf + 0 160.181 * * [simplify]: Extracting #1: cost 31 inf + 0 160.181 * * [simplify]: Extracting #2: cost 106 inf + 2 160.182 * * [simplify]: Extracting #3: cost 143 inf + 217 160.182 * * [simplify]: Extracting #4: cost 138 inf + 805 160.183 * * [simplify]: Extracting #5: cost 102 inf + 4949 160.187 * * [simplify]: Extracting #6: cost 46 inf + 25766 160.193 * * [simplify]: Extracting #7: cost 4 inf + 54472 160.201 * * [simplify]: Extracting #8: cost 0 inf + 57219 160.216 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 160.217 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 160.217 * * * * [progress]: [ 136 / 675 ] simplifiying candidate # 160.217 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 160.217 * * [simplify]: iters left: 6 (11 enodes) 160.223 * * [simplify]: iters left: 5 (45 enodes) 160.238 * * [simplify]: iters left: 4 (68 enodes) 160.261 * * [simplify]: iters left: 3 (110 enodes) 160.307 * * [simplify]: iters left: 2 (217 enodes) 160.357 * * [simplify]: iters left: 1 (411 enodes) 160.530 * * [simplify]: Extracting #0: cost 1 inf + 0 160.530 * * [simplify]: Extracting #1: cost 6 inf + 0 160.530 * * [simplify]: Extracting #2: cost 44 inf + 0 160.531 * * [simplify]: Extracting #3: cost 139 inf + 1 160.533 * * [simplify]: Extracting #4: cost 197 inf + 421 160.537 * * [simplify]: Extracting #5: cost 139 inf + 13650 160.554 * * [simplify]: Extracting #6: cost 13 inf + 69021 160.565 * * [simplify]: Extracting #7: cost 0 inf + 76213 160.576 * * [simplify]: Extracting #8: cost 0 inf + 76212 160.595 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 160.595 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))) (sqrt (sqrt k)))) 160.595 * * * * [progress]: [ 137 / 675 ] simplifiying candidate # 160.595 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.595 * * [simplify]: iters left: 6 (14 enodes) 160.599 * * [simplify]: iters left: 5 (57 enodes) 160.609 * * [simplify]: iters left: 4 (90 enodes) 160.624 * * [simplify]: iters left: 3 (128 enodes) 160.667 * * [simplify]: iters left: 2 (208 enodes) 160.750 * * [simplify]: iters left: 1 (391 enodes) 160.911 * * [simplify]: Extracting #0: cost 1 inf + 0 160.911 * * [simplify]: Extracting #1: cost 4 inf + 0 160.911 * * [simplify]: Extracting #2: cost 8 inf + 0 160.911 * * [simplify]: Extracting #3: cost 39 inf + 0 160.911 * * [simplify]: Extracting #4: cost 119 inf + 43 160.912 * * [simplify]: Extracting #5: cost 173 inf + 382 160.914 * * [simplify]: Extracting #6: cost 120 inf + 9839 160.924 * * [simplify]: Extracting #7: cost 48 inf + 33394 160.942 * * [simplify]: Extracting #8: cost 5 inf + 65358 160.952 * * [simplify]: Extracting #9: cost 0 inf + 69046 160.962 * * [simplify]: Extracting #10: cost 0 inf + 68624 160.973 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 160.973 * [simplify]: Simplified (2 1 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 (* (* n 2) PI) (/ (- 1 k) 2))))) (sqrt (sqrt k)))) 160.974 * * * * [progress]: [ 138 / 675 ] simplifiying candidate # 160.974 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.974 * * [simplify]: iters left: 6 (14 enodes) 160.981 * * [simplify]: iters left: 5 (57 enodes) 161.000 * * [simplify]: iters left: 4 (91 enodes) 161.032 * * [simplify]: iters left: 3 (129 enodes) 161.071 * * [simplify]: iters left: 2 (209 enodes) 161.112 * * [simplify]: iters left: 1 (390 enodes) 161.238 * * [simplify]: Extracting #0: cost 1 inf + 0 161.238 * * [simplify]: Extracting #1: cost 4 inf + 0 161.238 * * [simplify]: Extracting #2: cost 9 inf + 0 161.238 * * [simplify]: Extracting #3: cost 43 inf + 0 161.238 * * [simplify]: Extracting #4: cost 133 inf + 43 161.239 * * [simplify]: Extracting #5: cost 162 inf + 467 161.241 * * [simplify]: Extracting #6: cost 106 inf + 8214 161.248 * * [simplify]: Extracting #7: cost 58 inf + 18548 161.263 * * [simplify]: Extracting #8: cost 12 inf + 55831 161.288 * * [simplify]: Extracting #9: cost 0 inf + 65462 161.309 * * [simplify]: Extracting #10: cost 0 inf + 64962 161.328 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 161.328 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))) (sqrt (sqrt k)))) 161.328 * * * * [progress]: [ 139 / 675 ] simplifiying candidate # 161.329 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 161.329 * * [simplify]: iters left: 6 (13 enodes) 161.333 * * [simplify]: iters left: 5 (54 enodes) 161.342 * * [simplify]: iters left: 4 (85 enodes) 161.356 * * [simplify]: iters left: 3 (129 enodes) 161.403 * * [simplify]: iters left: 2 (231 enodes) 161.468 * * [simplify]: iters left: 1 (416 enodes) 161.652 * * [simplify]: Extracting #0: cost 1 inf + 0 161.652 * * [simplify]: Extracting #1: cost 6 inf + 0 161.652 * * [simplify]: Extracting #2: cost 45 inf + 0 161.652 * * [simplify]: Extracting #3: cost 142 inf + 1 161.653 * * [simplify]: Extracting #4: cost 182 inf + 547 161.654 * * [simplify]: Extracting #5: cost 151 inf + 3652 161.657 * * [simplify]: Extracting #6: cost 87 inf + 14805 161.666 * * [simplify]: Extracting #7: cost 20 inf + 65591 161.678 * * [simplify]: Extracting #8: cost 0 inf + 80286 161.702 * * [simplify]: Extracting #9: cost 0 inf + 79511 161.732 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 161.732 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 161.733 * * * * [progress]: [ 140 / 675 ] simplifiying candidate # 161.733 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 161.733 * * [simplify]: iters left: 6 (14 enodes) 161.741 * * [simplify]: iters left: 5 (60 enodes) 161.754 * * [simplify]: iters left: 4 (98 enodes) 161.778 * * [simplify]: iters left: 3 (157 enodes) 161.820 * * [simplify]: iters left: 2 (285 enodes) 161.890 * * [simplify]: Extracting #0: cost 1 inf + 0 161.890 * * [simplify]: Extracting #1: cost 6 inf + 0 161.890 * * [simplify]: Extracting #2: cost 26 inf + 0 161.890 * * [simplify]: Extracting #3: cost 95 inf + 1 161.890 * * [simplify]: Extracting #4: cost 120 inf + 343 161.892 * * [simplify]: Extracting #5: cost 76 inf + 5942 161.895 * * [simplify]: Extracting #6: cost 27 inf + 17799 161.899 * * [simplify]: Extracting #7: cost 13 inf + 26109 161.904 * * [simplify]: Extracting #8: cost 0 inf + 36631 161.912 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 161.912 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))) 161.913 * * * * [progress]: [ 141 / 675 ] simplifiying candidate # 161.913 * [simplify]: Simplifying (* (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ k 2))) 161.913 * * [simplify]: iters left: 6 (11 enodes) 161.916 * * [simplify]: iters left: 5 (41 enodes) 161.922 * * [simplify]: iters left: 4 (65 enodes) 161.939 * * [simplify]: iters left: 3 (111 enodes) 161.970 * * [simplify]: iters left: 2 (212 enodes) 162.035 * * [simplify]: Extracting #0: cost 1 inf + 0 162.035 * * [simplify]: Extracting #1: cost 38 inf + 0 162.035 * * [simplify]: Extracting #2: cost 104 inf + 0 162.035 * * [simplify]: Extracting #3: cost 139 inf + 2 162.036 * * [simplify]: Extracting #4: cost 124 inf + 841 162.038 * * [simplify]: Extracting #5: cost 65 inf + 18087 162.045 * * [simplify]: Extracting #6: cost 7 inf + 55762 162.055 * * [simplify]: Extracting #7: cost 0 inf + 61607 162.069 * [simplify]: Simplified to (* (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ k 2))) 162.069 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) (sqrt (sqrt k)))) 162.069 * * * * [progress]: [ 142 / 675 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k))))> 162.069 * [simplify]: Simplifying (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 162.069 * * [simplify]: iters left: 6 (14 enodes) 162.073 * * [simplify]: iters left: 5 (54 enodes) 162.083 * * [simplify]: iters left: 4 (89 enodes) 162.104 * * [simplify]: iters left: 3 (134 enodes) 162.149 * * [simplify]: iters left: 2 (230 enodes) 162.226 * * [simplify]: iters left: 1 (477 enodes) 162.439 * * [simplify]: Extracting #0: cost 1 inf + 0 162.439 * * [simplify]: Extracting #1: cost 2 inf + 0 162.439 * * [simplify]: Extracting #2: cost 50 inf + 0 162.440 * * [simplify]: Extracting #3: cost 158 inf + 0 162.442 * * [simplify]: Extracting #4: cost 236 inf + 3 162.443 * * [simplify]: Extracting #5: cost 235 inf + 1336 162.446 * * [simplify]: Extracting #6: cost 173 inf + 12432 162.458 * * [simplify]: Extracting #7: cost 47 inf + 101881 162.488 * * [simplify]: Extracting #8: cost 0 inf + 141895 162.522 * * [simplify]: Extracting #9: cost 0 inf + 140021 162.552 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 162.552 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt k)))) 162.552 * * * * [progress]: [ 143 / 675 ] simplifiying candidate # 162.553 * [simplify]: Simplifying (expm1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 162.553 * * [simplify]: iters left: 6 (15 enodes) 162.561 * * [simplify]: iters left: 5 (62 enodes) 162.574 * * [simplify]: iters left: 4 (99 enodes) 162.590 * * [simplify]: iters left: 3 (152 enodes) 162.635 * * [simplify]: iters left: 2 (268 enodes) 162.749 * * [simplify]: Extracting #0: cost 1 inf + 0 162.749 * * [simplify]: Extracting #1: cost 3 inf + 0 162.749 * * [simplify]: Extracting #2: cost 52 inf + 0 162.750 * * [simplify]: Extracting #3: cost 132 inf + 0 162.751 * * [simplify]: Extracting #4: cost 192 inf + 3 162.753 * * [simplify]: Extracting #5: cost 175 inf + 4064 162.758 * * [simplify]: Extracting #6: cost 117 inf + 18033 162.777 * * [simplify]: Extracting #7: cost 17 inf + 88112 162.803 * * [simplify]: Extracting #8: cost 0 inf + 99573 162.829 * * [simplify]: Extracting #9: cost 0 inf + 99059 162.855 * [simplify]: Simplified to (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 162.855 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 162.855 * * * * [progress]: [ 144 / 675 ] simplifiying candidate # 162.856 * [simplify]: Simplifying (log1p (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 162.856 * * [simplify]: iters left: 6 (15 enodes) 162.864 * * [simplify]: iters left: 5 (62 enodes) 162.878 * * [simplify]: iters left: 4 (99 enodes) 162.896 * * [simplify]: iters left: 3 (152 enodes) 162.921 * * [simplify]: iters left: 2 (268 enodes) 162.982 * * [simplify]: Extracting #0: cost 1 inf + 0 162.982 * * [simplify]: Extracting #1: cost 3 inf + 0 162.982 * * [simplify]: Extracting #2: cost 52 inf + 0 162.983 * * [simplify]: Extracting #3: cost 132 inf + 0 162.983 * * [simplify]: Extracting #4: cost 192 inf + 3 162.984 * * [simplify]: Extracting #5: cost 175 inf + 4084 162.987 * * [simplify]: Extracting #6: cost 117 inf + 18073 162.998 * * [simplify]: Extracting #7: cost 17 inf + 88152 163.019 * * [simplify]: Extracting #8: cost 0 inf + 99613 163.034 * * [simplify]: Extracting #9: cost 0 inf + 99099 163.049 * [simplify]: Simplified to (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 163.049 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 163.050 * * * * [progress]: [ 145 / 675 ] simplifiying candidate # 163.050 * * * * [progress]: [ 146 / 675 ] simplifiying candidate # 163.050 * [simplify]: Simplifying (- (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 163.050 * * [simplify]: iters left: 6 (18 enodes) 163.055 * * [simplify]: iters left: 5 (75 enodes) 163.067 * * [simplify]: iters left: 4 (135 enodes) 163.124 * * [simplify]: iters left: 3 (393 enodes) 163.301 * * [simplify]: Extracting #0: cost 1 inf + 0 163.301 * * [simplify]: Extracting #1: cost 47 inf + 0 163.302 * * [simplify]: Extracting #2: cost 143 inf + 0 163.304 * * [simplify]: Extracting #3: cost 183 inf + 846 163.308 * * [simplify]: Extracting #4: cost 154 inf + 13371 163.332 * * [simplify]: Extracting #5: cost 18 inf + 55810 163.346 * * [simplify]: Extracting #6: cost 0 inf + 62995 163.359 * * [simplify]: Extracting #7: cost 0 inf + 62993 163.375 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 163.375 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 163.375 * * * * [progress]: [ 147 / 675 ] simplifiying candidate # 163.376 * [simplify]: Simplifying (- (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 163.376 * * [simplify]: iters left: 6 (17 enodes) 163.386 * * [simplify]: iters left: 5 (73 enodes) 163.410 * * [simplify]: iters left: 4 (128 enodes) 163.469 * * [simplify]: iters left: 3 (317 enodes) 163.620 * * [simplify]: Extracting #0: cost 1 inf + 0 163.620 * * [simplify]: Extracting #1: cost 37 inf + 0 163.620 * * [simplify]: Extracting #2: cost 134 inf + 0 163.621 * * [simplify]: Extracting #3: cost 171 inf + 637 163.624 * * [simplify]: Extracting #4: cost 149 inf + 7321 163.633 * * [simplify]: Extracting #5: cost 51 inf + 32978 163.652 * * [simplify]: Extracting #6: cost 2 inf + 51733 163.673 * * [simplify]: Extracting #7: cost 0 inf + 52534 163.684 * [simplify]: Simplified to (- (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 163.684 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))))) 163.684 * * * * [progress]: [ 148 / 675 ] simplifiying candidate # 163.685 * [simplify]: Simplifying (- (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 163.685 * * [simplify]: iters left: 6 (16 enodes) 163.689 * * [simplify]: iters left: 5 (72 enodes) 163.701 * * [simplify]: iters left: 4 (135 enodes) 163.750 * * [simplify]: iters left: 3 (284 enodes) 163.869 * * [simplify]: Extracting #0: cost 1 inf + 0 163.869 * * [simplify]: Extracting #1: cost 29 inf + 0 163.870 * * [simplify]: Extracting #2: cost 119 inf + 0 163.871 * * [simplify]: Extracting #3: cost 158 inf + 846 163.874 * * [simplify]: Extracting #4: cost 134 inf + 9627 163.888 * * [simplify]: Extracting #5: cost 28 inf + 35939 163.906 * * [simplify]: Extracting #6: cost 1 inf + 43442 163.924 * * [simplify]: Extracting #7: cost 0 inf + 43621 163.943 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 163.943 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 163.943 * * * * [progress]: [ 149 / 675 ] simplifiying candidate # 163.944 * [simplify]: Simplifying (- (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 163.944 * * [simplify]: iters left: 6 (16 enodes) 163.953 * * [simplify]: iters left: 5 (72 enodes) 163.976 * * [simplify]: iters left: 4 (135 enodes) 164.018 * * [simplify]: iters left: 3 (284 enodes) 164.126 * * [simplify]: Extracting #0: cost 1 inf + 0 164.126 * * [simplify]: Extracting #1: cost 29 inf + 0 164.126 * * [simplify]: Extracting #2: cost 119 inf + 0 164.128 * * [simplify]: Extracting #3: cost 158 inf + 846 164.131 * * [simplify]: Extracting #4: cost 134 inf + 9627 164.145 * * [simplify]: Extracting #5: cost 28 inf + 35939 164.164 * * [simplify]: Extracting #6: cost 1 inf + 43442 164.174 * * [simplify]: Extracting #7: cost 0 inf + 43621 164.183 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 164.183 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 164.183 * * * * [progress]: [ 150 / 675 ] simplifiying candidate # 164.184 * [simplify]: Simplifying (- (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 164.184 * * [simplify]: iters left: 6 (16 enodes) 164.188 * * [simplify]: iters left: 5 (70 enodes) 164.209 * * [simplify]: iters left: 4 (133 enodes) 164.233 * * [simplify]: iters left: 3 (266 enodes) 164.320 * * [simplify]: Extracting #0: cost 1 inf + 0 164.320 * * [simplify]: Extracting #1: cost 32 inf + 0 164.321 * * [simplify]: Extracting #2: cost 153 inf + 0 164.322 * * [simplify]: Extracting #3: cost 220 inf + 4 164.325 * * [simplify]: Extracting #4: cost 176 inf + 7004 164.334 * * [simplify]: Extracting #5: cost 48 inf + 39424 164.344 * * [simplify]: Extracting #6: cost 1 inf + 54715 164.353 * * [simplify]: Extracting #7: cost 0 inf + 55086 164.364 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 164.364 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 164.364 * * * * [progress]: [ 151 / 675 ] simplifiying candidate # 164.365 * [simplify]: Simplifying (- (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 164.365 * * [simplify]: iters left: 6 (16 enodes) 164.374 * * [simplify]: iters left: 5 (67 enodes) 164.393 * * [simplify]: iters left: 4 (116 enodes) 164.418 * * [simplify]: iters left: 3 (218 enodes) 164.502 * * [simplify]: Extracting #0: cost 1 inf + 0 164.502 * * [simplify]: Extracting #1: cost 20 inf + 0 164.503 * * [simplify]: Extracting #2: cost 121 inf + 0 164.503 * * [simplify]: Extracting #3: cost 178 inf + 75 164.504 * * [simplify]: Extracting #4: cost 184 inf + 390 164.505 * * [simplify]: Extracting #5: cost 121 inf + 12315 164.511 * * [simplify]: Extracting #6: cost 25 inf + 38358 164.519 * * [simplify]: Extracting #7: cost 0 inf + 51132 164.535 * [simplify]: Simplified to (- (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 164.536 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))))) 164.536 * * * * [progress]: [ 152 / 675 ] simplifiying candidate # 164.536 * [simplify]: Simplifying (log (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 164.536 * * [simplify]: iters left: 6 (15 enodes) 164.545 * * [simplify]: iters left: 5 (65 enodes) 164.568 * * [simplify]: iters left: 4 (112 enodes) 164.591 * * [simplify]: iters left: 3 (188 enodes) 164.630 * * [simplify]: iters left: 2 (388 enodes) 165.122 * * [simplify]: Extracting #0: cost 1 inf + 0 165.122 * * [simplify]: Extracting #1: cost 39 inf + 0 165.123 * * [simplify]: Extracting #2: cost 212 inf + 1 165.124 * * [simplify]: Extracting #3: cost 344 inf + 189 165.126 * * [simplify]: Extracting #4: cost 315 inf + 10917 165.141 * * [simplify]: Extracting #5: cost 121 inf + 83647 165.189 * * [simplify]: Extracting #6: cost 6 inf + 142607 165.239 * * [simplify]: Extracting #7: cost 0 inf + 143374 165.289 * * [simplify]: Extracting #8: cost 0 inf + 143214 165.314 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 165.314 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 165.314 * * * * [progress]: [ 153 / 675 ] simplifiying candidate # 165.314 * [simplify]: Simplifying (exp (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 165.314 * * [simplify]: iters left: 6 (15 enodes) 165.319 * * [simplify]: iters left: 5 (62 enodes) 165.330 * * [simplify]: iters left: 4 (99 enodes) 165.352 * * [simplify]: iters left: 3 (154 enodes) 165.384 * * [simplify]: iters left: 2 (275 enodes) 165.504 * * [simplify]: Extracting #0: cost 1 inf + 0 165.504 * * [simplify]: Extracting #1: cost 13 inf + 0 165.504 * * [simplify]: Extracting #2: cost 79 inf + 0 165.505 * * [simplify]: Extracting #3: cost 183 inf + 1 165.507 * * [simplify]: Extracting #4: cost 197 inf + 3931 165.513 * * [simplify]: Extracting #5: cost 131 inf + 22169 165.527 * * [simplify]: Extracting #6: cost 25 inf + 88560 165.540 * * [simplify]: Extracting #7: cost 1 inf + 108213 165.557 * * [simplify]: Extracting #8: cost 0 inf + 107028 165.584 * * [simplify]: Extracting #9: cost 0 inf + 106908 165.609 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 165.609 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 165.609 * * * * [progress]: [ 154 / 675 ] simplifiying candidate # 165.610 * [simplify]: Simplifying (/ (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 165.610 * * [simplify]: iters left: 6 (18 enodes) 165.621 * * [simplify]: iters left: 5 (82 enodes) 165.654 * * [simplify]: iters left: 4 (223 enodes) 165.754 * * [simplify]: Extracting #0: cost 1 inf + 0 165.754 * * [simplify]: Extracting #1: cost 74 inf + 0 165.755 * * [simplify]: Extracting #2: cost 194 inf + 42 165.756 * * [simplify]: Extracting #3: cost 226 inf + 449 165.757 * * [simplify]: Extracting #4: cost 218 inf + 1531 165.759 * * [simplify]: Extracting #5: cost 167 inf + 18163 165.772 * * [simplify]: Extracting #6: cost 41 inf + 93427 165.793 * * [simplify]: Extracting #7: cost 0 inf + 121739 165.836 * * [simplify]: Extracting #8: cost 0 inf + 121419 165.861 * * [simplify]: Extracting #9: cost 0 inf + 121099 165.885 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) k) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 165.885 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) k) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 165.885 * * * * [progress]: [ 155 / 675 ] simplifiying candidate # 165.885 * [simplify]: Simplifying (/ (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 165.886 * * [simplify]: iters left: 6 (18 enodes) 165.895 * * [simplify]: iters left: 5 (82 enodes) 165.924 * * [simplify]: iters left: 4 (198 enodes) 166.003 * * [simplify]: Extracting #0: cost 1 inf + 0 166.003 * * [simplify]: Extracting #1: cost 67 inf + 0 166.003 * * [simplify]: Extracting #2: cost 158 inf + 1 166.004 * * [simplify]: Extracting #3: cost 178 inf + 3 166.005 * * [simplify]: Extracting #4: cost 176 inf + 382 166.006 * * [simplify]: Extracting #5: cost 135 inf + 10603 166.020 * * [simplify]: Extracting #6: cost 24 inf + 77572 166.055 * * [simplify]: Extracting #7: cost 0 inf + 93456 166.071 * * [simplify]: Extracting #8: cost 0 inf + 93136 166.087 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) 166.087 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))) 166.087 * * * * [progress]: [ 156 / 675 ] simplifiying candidate # 166.088 * [simplify]: Simplifying (* (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 166.088 * * [simplify]: iters left: 6 (16 enodes) 166.092 * * [simplify]: iters left: 5 (65 enodes) 166.104 * * [simplify]: iters left: 4 (102 enodes) 166.133 * * [simplify]: iters left: 3 (158 enodes) 166.190 * * [simplify]: iters left: 2 (279 enodes) 166.269 * * [simplify]: Extracting #0: cost 1 inf + 0 166.269 * * [simplify]: Extracting #1: cost 3 inf + 0 166.269 * * [simplify]: Extracting #2: cost 5 inf + 0 166.269 * * [simplify]: Extracting #3: cost 54 inf + 0 166.270 * * [simplify]: Extracting #4: cost 138 inf + 0 166.270 * * [simplify]: Extracting #5: cost 199 inf + 3 166.272 * * [simplify]: Extracting #6: cost 175 inf + 6429 166.278 * * [simplify]: Extracting #7: cost 69 inf + 56408 166.291 * * [simplify]: Extracting #8: cost 1 inf + 103611 166.310 * * [simplify]: Extracting #9: cost 0 inf + 100884 166.324 * * [simplify]: Extracting #10: cost 0 inf + 100713 166.337 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 166.337 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 166.337 * [simplify]: Simplifying (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 166.338 * * [simplify]: iters left: 6 (15 enodes) 166.345 * * [simplify]: iters left: 5 (62 enodes) 166.369 * * [simplify]: iters left: 4 (99 enodes) 166.396 * * [simplify]: iters left: 3 (152 enodes) 166.423 * * [simplify]: iters left: 2 (268 enodes) 166.530 * * [simplify]: Extracting #0: cost 1 inf + 0 166.530 * * [simplify]: Extracting #1: cost 3 inf + 0 166.530 * * [simplify]: Extracting #2: cost 52 inf + 0 166.531 * * [simplify]: Extracting #3: cost 132 inf + 0 166.532 * * [simplify]: Extracting #4: cost 192 inf + 3 166.534 * * [simplify]: Extracting #5: cost 175 inf + 4074 166.539 * * [simplify]: Extracting #6: cost 117 inf + 18053 166.557 * * [simplify]: Extracting #7: cost 17 inf + 88132 166.582 * * [simplify]: Extracting #8: cost 0 inf + 99593 166.608 * * [simplify]: Extracting #9: cost 0 inf + 99079 166.638 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 166.638 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 166.639 * * * * [progress]: [ 157 / 675 ] simplifiying candidate # 166.639 * [simplify]: Simplifying (* (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 166.639 * * [simplify]: iters left: 6 (16 enodes) 166.643 * * [simplify]: iters left: 5 (72 enodes) 166.656 * * [simplify]: iters left: 4 (146 enodes) 166.692 * * [simplify]: iters left: 3 (359 enodes) 166.969 * * [simplify]: Extracting #0: cost 1 inf + 0 166.969 * * [simplify]: Extracting #1: cost 97 inf + 0 166.970 * * [simplify]: Extracting #2: cost 289 inf + 2 166.971 * * [simplify]: Extracting #3: cost 324 inf + 671 166.976 * * [simplify]: Extracting #4: cost 312 inf + 3077 166.981 * * [simplify]: Extracting #5: cost 235 inf + 33667 167.015 * * [simplify]: Extracting #6: cost 47 inf + 164972 167.076 * * [simplify]: Extracting #7: cost 0 inf + 203797 167.131 * [simplify]: Simplified to (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 167.131 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 167.131 * * * * [progress]: [ 158 / 675 ] simplifiying candidate # 167.132 * [simplify]: Simplifying (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 167.132 * * [simplify]: iters left: 6 (15 enodes) 167.139 * * [simplify]: iters left: 5 (62 enodes) 167.156 * * [simplify]: iters left: 4 (99 enodes) 167.184 * * [simplify]: iters left: 3 (153 enodes) 167.217 * * [simplify]: iters left: 2 (269 enodes) 167.307 * * [simplify]: Extracting #0: cost 1 inf + 0 167.307 * * [simplify]: Extracting #1: cost 4 inf + 0 167.307 * * [simplify]: Extracting #2: cost 60 inf + 0 167.308 * * [simplify]: Extracting #3: cost 138 inf + 0 167.310 * * [simplify]: Extracting #4: cost 194 inf + 3 167.312 * * [simplify]: Extracting #5: cost 169 inf + 5067 167.323 * * [simplify]: Extracting #6: cost 88 inf + 37235 167.343 * * [simplify]: Extracting #7: cost 10 inf + 90851 167.372 * * [simplify]: Extracting #8: cost 0 inf + 98290 167.398 * * [simplify]: Extracting #9: cost 0 inf + 98159 167.423 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 167.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 167.423 * [simplify]: Simplifying (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 167.423 * * [simplify]: iters left: 6 (15 enodes) 167.432 * * [simplify]: iters left: 5 (62 enodes) 167.453 * * [simplify]: iters left: 4 (99 enodes) 167.484 * * [simplify]: iters left: 3 (153 enodes) 167.538 * * [simplify]: iters left: 2 (269 enodes) 167.623 * * [simplify]: Extracting #0: cost 1 inf + 0 167.623 * * [simplify]: Extracting #1: cost 4 inf + 0 167.623 * * [simplify]: Extracting #2: cost 60 inf + 0 167.624 * * [simplify]: Extracting #3: cost 138 inf + 0 167.628 * * [simplify]: Extracting #4: cost 194 inf + 3 167.629 * * [simplify]: Extracting #5: cost 169 inf + 5067 167.634 * * [simplify]: Extracting #6: cost 88 inf + 37235 167.644 * * [simplify]: Extracting #7: cost 10 inf + 90851 167.661 * * [simplify]: Extracting #8: cost 0 inf + 98290 167.687 * * [simplify]: Extracting #9: cost 0 inf + 98159 167.713 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 167.713 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 167.714 * * * * [progress]: [ 159 / 675 ] simplifiying candidate # 167.714 * [simplify]: Simplifying (- (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 167.714 * * [simplify]: iters left: 6 (14 enodes) 167.722 * * [simplify]: iters left: 5 (59 enodes) 167.743 * * [simplify]: iters left: 4 (99 enodes) 167.771 * * [simplify]: iters left: 3 (155 enodes) 167.801 * * [simplify]: iters left: 2 (291 enodes) 167.895 * * [simplify]: Extracting #0: cost 1 inf + 0 167.896 * * [simplify]: Extracting #1: cost 39 inf + 0 167.896 * * [simplify]: Extracting #2: cost 128 inf + 0 167.896 * * [simplify]: Extracting #3: cost 193 inf + 1 167.898 * * [simplify]: Extracting #4: cost 186 inf + 4276 167.900 * * [simplify]: Extracting #5: cost 143 inf + 12044 167.906 * * [simplify]: Extracting #6: cost 75 inf + 49398 167.926 * * [simplify]: Extracting #7: cost 9 inf + 99894 167.944 * * [simplify]: Extracting #8: cost 0 inf + 105953 167.961 * * [simplify]: Extracting #9: cost 0 inf + 105742 167.983 * [simplify]: Simplified to (- (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 167.983 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (- (sqrt (sqrt k))))) 167.983 * [simplify]: Simplifying (- (sqrt (sqrt k))) 167.984 * * [simplify]: iters left: 4 (4 enodes) 167.984 * * [simplify]: iters left: 3 (12 enodes) 167.986 * * [simplify]: Extracting #0: cost 1 inf + 0 167.986 * * [simplify]: Extracting #1: cost 3 inf + 0 167.986 * * [simplify]: Extracting #2: cost 5 inf + 0 167.986 * * [simplify]: Extracting #3: cost 7 inf + 0 167.986 * * [simplify]: Extracting #4: cost 6 inf + 1 167.986 * * [simplify]: Extracting #5: cost 0 inf + 487 167.986 * [simplify]: Simplified to (- (sqrt (sqrt k))) 167.986 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (- (sqrt (sqrt k))))) 167.987 * * * * [progress]: [ 160 / 675 ] simplifiying candidate # 167.987 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 167.987 * * [simplify]: iters left: 6 (18 enodes) 167.992 * * [simplify]: iters left: 5 (75 enodes) 168.005 * * [simplify]: iters left: 4 (121 enodes) 168.034 * * [simplify]: iters left: 3 (177 enodes) 168.079 * * [simplify]: iters left: 2 (294 enodes) 168.147 * * [simplify]: Extracting #0: cost 1 inf + 0 168.147 * * [simplify]: Extracting #1: cost 11 inf + 0 168.147 * * [simplify]: Extracting #2: cost 22 inf + 0 168.147 * * [simplify]: Extracting #3: cost 52 inf + 0 168.147 * * [simplify]: Extracting #4: cost 95 inf + 0 168.147 * * [simplify]: Extracting #5: cost 152 inf + 3 168.148 * * [simplify]: Extracting #6: cost 140 inf + 2104 168.155 * * [simplify]: Extracting #7: cost 71 inf + 26721 168.163 * * [simplify]: Extracting #8: cost 3 inf + 62862 168.178 * * [simplify]: Extracting #9: cost 0 inf + 65023 168.196 * * [simplify]: Extracting #10: cost 0 inf + 65022 168.214 * [simplify]: Simplified to (* (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 168.214 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 168.215 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 168.215 * * [simplify]: iters left: 6 (16 enodes) 168.223 * * [simplify]: iters left: 5 (63 enodes) 168.233 * * [simplify]: iters left: 4 (98 enodes) 168.248 * * [simplify]: iters left: 3 (142 enodes) 168.278 * * [simplify]: iters left: 2 (238 enodes) 168.336 * * [simplify]: iters left: 1 (482 enodes) 168.505 * * [simplify]: Extracting #0: cost 1 inf + 0 168.505 * * [simplify]: Extracting #1: cost 4 inf + 0 168.505 * * [simplify]: Extracting #2: cost 8 inf + 0 168.506 * * [simplify]: Extracting #3: cost 57 inf + 0 168.507 * * [simplify]: Extracting #4: cost 157 inf + 0 168.508 * * [simplify]: Extracting #5: cost 226 inf + 4 168.511 * * [simplify]: Extracting #6: cost 217 inf + 6459 168.531 * * [simplify]: Extracting #7: cost 97 inf + 61972 168.556 * * [simplify]: Extracting #8: cost 16 inf + 107724 168.596 * * [simplify]: Extracting #9: cost 0 inf + 114339 168.622 * * [simplify]: Extracting #10: cost 0 inf + 112174 168.654 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 168.654 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 168.654 * * * * [progress]: [ 161 / 675 ] simplifiying candidate # 168.655 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 168.655 * * [simplify]: iters left: 6 (19 enodes) 168.660 * * [simplify]: iters left: 5 (75 enodes) 168.673 * * [simplify]: iters left: 4 (110 enodes) 168.696 * * [simplify]: iters left: 3 (162 enodes) 168.754 * * [simplify]: iters left: 2 (276 enodes) 168.830 * * [simplify]: Extracting #0: cost 1 inf + 0 168.830 * * [simplify]: Extracting #1: cost 7 inf + 0 168.830 * * [simplify]: Extracting #2: cost 15 inf + 0 168.830 * * [simplify]: Extracting #3: cost 47 inf + 0 168.830 * * [simplify]: Extracting #4: cost 90 inf + 0 168.831 * * [simplify]: Extracting #5: cost 145 inf + 3 168.832 * * [simplify]: Extracting #6: cost 132 inf + 2266 168.838 * * [simplify]: Extracting #7: cost 68 inf + 20701 168.846 * * [simplify]: Extracting #8: cost 13 inf + 50423 168.855 * * [simplify]: Extracting #9: cost 0 inf + 59680 168.868 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 168.868 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 168.868 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 168.868 * * [simplify]: iters left: 6 (17 enodes) 168.875 * * [simplify]: iters left: 5 (66 enodes) 168.898 * * [simplify]: iters left: 4 (101 enodes) 168.929 * * [simplify]: iters left: 3 (145 enodes) 168.976 * * [simplify]: iters left: 2 (241 enodes) 169.044 * * [simplify]: iters left: 1 (486 enodes) 169.286 * * [simplify]: Extracting #0: cost 1 inf + 0 169.286 * * [simplify]: Extracting #1: cost 4 inf + 0 169.286 * * [simplify]: Extracting #2: cost 8 inf + 0 169.287 * * [simplify]: Extracting #3: cost 60 inf + 0 169.287 * * [simplify]: Extracting #4: cost 171 inf + 0 169.289 * * [simplify]: Extracting #5: cost 242 inf + 4 169.297 * * [simplify]: Extracting #6: cost 234 inf + 2531 169.306 * * [simplify]: Extracting #7: cost 152 inf + 28240 169.323 * * [simplify]: Extracting #8: cost 29 inf + 127158 169.347 * * [simplify]: Extracting #9: cost 0 inf + 151247 169.390 * * [simplify]: Extracting #10: cost 0 inf + 147613 169.424 * * [simplify]: Extracting #11: cost 0 inf + 146201 169.448 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 169.448 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 169.448 * * * * [progress]: [ 162 / 675 ] simplifiying candidate # 169.448 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 169.448 * * [simplify]: iters left: 6 (20 enodes) 169.457 * * [simplify]: iters left: 5 (78 enodes) 169.479 * * [simplify]: iters left: 4 (117 enodes) 169.497 * * [simplify]: iters left: 3 (164 enodes) 169.536 * * [simplify]: iters left: 2 (260 enodes) 169.604 * * [simplify]: Extracting #0: cost 1 inf + 0 169.604 * * [simplify]: Extracting #1: cost 7 inf + 0 169.604 * * [simplify]: Extracting #2: cost 14 inf + 0 169.605 * * [simplify]: Extracting #3: cost 46 inf + 0 169.605 * * [simplify]: Extracting #4: cost 91 inf + 0 169.606 * * [simplify]: Extracting #5: cost 144 inf + 447 169.607 * * [simplify]: Extracting #6: cost 135 inf + 2226 169.611 * * [simplify]: Extracting #7: cost 81 inf + 13914 169.623 * * [simplify]: Extracting #8: cost 16 inf + 50594 169.632 * * [simplify]: Extracting #9: cost 0 inf + 61613 169.640 * * [simplify]: Extracting #10: cost 0 inf + 61351 169.650 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 169.650 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 169.650 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 169.651 * * [simplify]: iters left: 6 (18 enodes) 169.660 * * [simplify]: iters left: 5 (69 enodes) 169.673 * * [simplify]: iters left: 4 (104 enodes) 169.689 * * [simplify]: iters left: 3 (152 enodes) 169.741 * * [simplify]: iters left: 2 (249 enodes) 169.837 * * [simplify]: iters left: 1 (493 enodes) 170.013 * * [simplify]: Extracting #0: cost 1 inf + 0 170.013 * * [simplify]: Extracting #1: cost 4 inf + 0 170.013 * * [simplify]: Extracting #2: cost 8 inf + 0 170.013 * * [simplify]: Extracting #3: cost 55 inf + 0 170.014 * * [simplify]: Extracting #4: cost 162 inf + 0 170.015 * * [simplify]: Extracting #5: cost 234 inf + 4 170.016 * * [simplify]: Extracting #6: cost 237 inf + 1126 170.019 * * [simplify]: Extracting #7: cost 166 inf + 13845 170.031 * * [simplify]: Extracting #8: cost 83 inf + 58983 170.066 * * [simplify]: Extracting #9: cost 5 inf + 131616 170.088 * * [simplify]: Extracting #10: cost 0 inf + 133778 170.122 * * [simplify]: Extracting #11: cost 0 inf + 133205 170.143 * * [simplify]: Extracting #12: cost 0 inf + 133155 170.169 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 170.169 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 170.169 * * * * [progress]: [ 163 / 675 ] simplifiying candidate # 170.170 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 170.170 * * [simplify]: iters left: 6 (17 enodes) 170.179 * * [simplify]: iters left: 5 (68 enodes) 170.200 * * [simplify]: iters left: 4 (107 enodes) 170.232 * * [simplify]: iters left: 3 (159 enodes) 170.280 * * [simplify]: iters left: 2 (256 enodes) 170.362 * * [simplify]: Extracting #0: cost 1 inf + 0 170.362 * * [simplify]: Extracting #1: cost 7 inf + 0 170.362 * * [simplify]: Extracting #2: cost 14 inf + 0 170.363 * * [simplify]: Extracting #3: cost 44 inf + 0 170.363 * * [simplify]: Extracting #4: cost 87 inf + 0 170.364 * * [simplify]: Extracting #5: cost 142 inf + 3 170.365 * * [simplify]: Extracting #6: cost 137 inf + 1336 170.369 * * [simplify]: Extracting #7: cost 82 inf + 14945 170.379 * * [simplify]: Extracting #8: cost 25 inf + 43401 170.394 * * [simplify]: Extracting #9: cost 2 inf + 60596 170.410 * * [simplify]: Extracting #10: cost 0 inf + 61785 170.418 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 170.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 170.418 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 170.419 * * [simplify]: iters left: 6 (16 enodes) 170.423 * * [simplify]: iters left: 5 (63 enodes) 170.433 * * [simplify]: iters left: 4 (98 enodes) 170.455 * * [simplify]: iters left: 3 (142 enodes) 170.483 * * [simplify]: iters left: 2 (238 enodes) 170.543 * * [simplify]: iters left: 1 (482 enodes) 170.739 * * [simplify]: Extracting #0: cost 1 inf + 0 170.739 * * [simplify]: Extracting #1: cost 4 inf + 0 170.739 * * [simplify]: Extracting #2: cost 8 inf + 0 170.739 * * [simplify]: Extracting #3: cost 57 inf + 0 170.740 * * [simplify]: Extracting #4: cost 157 inf + 0 170.741 * * [simplify]: Extracting #5: cost 226 inf + 4 170.744 * * [simplify]: Extracting #6: cost 217 inf + 6419 170.754 * * [simplify]: Extracting #7: cost 97 inf + 61852 170.774 * * [simplify]: Extracting #8: cost 16 inf + 107564 170.810 * * [simplify]: Extracting #9: cost 0 inf + 114179 170.838 * * [simplify]: Extracting #10: cost 0 inf + 112014 170.890 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 170.890 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 170.890 * * * * [progress]: [ 164 / 675 ] simplifiying candidate # 170.891 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt 1))) 170.891 * * [simplify]: iters left: 6 (18 enodes) 170.902 * * [simplify]: iters left: 5 (71 enodes) 170.925 * * [simplify]: iters left: 4 (110 enodes) 170.960 * * [simplify]: iters left: 3 (162 enodes) 171.007 * * [simplify]: iters left: 2 (260 enodes) 171.071 * * [simplify]: Extracting #0: cost 1 inf + 0 171.071 * * [simplify]: Extracting #1: cost 5 inf + 0 171.071 * * [simplify]: Extracting #2: cost 7 inf + 1 171.071 * * [simplify]: Extracting #3: cost 36 inf + 1 171.071 * * [simplify]: Extracting #4: cost 80 inf + 1 171.071 * * [simplify]: Extracting #5: cost 138 inf + 3 171.072 * * [simplify]: Extracting #6: cost 140 inf + 1138 171.074 * * [simplify]: Extracting #7: cost 83 inf + 12683 171.079 * * [simplify]: Extracting #8: cost 20 inf + 45149 171.087 * * [simplify]: Extracting #9: cost 0 inf + 60663 171.095 * * [simplify]: Extracting #10: cost 0 inf + 60240 171.106 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 171.106 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 171.106 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 171.106 * * [simplify]: iters left: 6 (15 enodes) 171.110 * * [simplify]: iters left: 5 (60 enodes) 171.131 * * [simplify]: iters left: 4 (95 enodes) 171.161 * * [simplify]: iters left: 3 (144 enodes) 171.208 * * [simplify]: iters left: 2 (241 enodes) 171.295 * * [simplify]: iters left: 1 (479 enodes) 171.500 * * [simplify]: Extracting #0: cost 1 inf + 0 171.500 * * [simplify]: Extracting #1: cost 4 inf + 0 171.500 * * [simplify]: Extracting #2: cost 8 inf + 0 171.501 * * [simplify]: Extracting #3: cost 57 inf + 0 171.501 * * [simplify]: Extracting #4: cost 154 inf + 1 171.502 * * [simplify]: Extracting #5: cost 222 inf + 248 171.503 * * [simplify]: Extracting #6: cost 216 inf + 2830 171.506 * * [simplify]: Extracting #7: cost 152 inf + 17333 171.519 * * [simplify]: Extracting #8: cost 73 inf + 67214 171.546 * * [simplify]: Extracting #9: cost 2 inf + 135070 171.589 * * [simplify]: Extracting #10: cost 0 inf + 133757 171.615 * * [simplify]: Extracting #11: cost 0 inf + 133193 171.645 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 171.645 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 171.646 * * * * [progress]: [ 165 / 675 ] simplifiying candidate # 171.646 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 171.646 * * [simplify]: iters left: 6 (17 enodes) 171.656 * * [simplify]: iters left: 5 (68 enodes) 171.668 * * [simplify]: iters left: 4 (107 enodes) 171.685 * * [simplify]: iters left: 3 (159 enodes) 171.732 * * [simplify]: iters left: 2 (256 enodes) 171.829 * * [simplify]: Extracting #0: cost 1 inf + 0 171.829 * * [simplify]: Extracting #1: cost 7 inf + 0 171.829 * * [simplify]: Extracting #2: cost 14 inf + 0 171.829 * * [simplify]: Extracting #3: cost 44 inf + 0 171.830 * * [simplify]: Extracting #4: cost 87 inf + 0 171.830 * * [simplify]: Extracting #5: cost 142 inf + 3 171.832 * * [simplify]: Extracting #6: cost 137 inf + 1336 171.836 * * [simplify]: Extracting #7: cost 82 inf + 14945 171.846 * * [simplify]: Extracting #8: cost 25 inf + 43401 171.861 * * [simplify]: Extracting #9: cost 2 inf + 60596 171.877 * * [simplify]: Extracting #10: cost 0 inf + 61785 171.894 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 171.894 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 171.894 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 171.894 * * [simplify]: iters left: 6 (16 enodes) 171.902 * * [simplify]: iters left: 5 (63 enodes) 171.916 * * [simplify]: iters left: 4 (98 enodes) 171.931 * * [simplify]: iters left: 3 (142 enodes) 171.955 * * [simplify]: iters left: 2 (238 enodes) 172.043 * * [simplify]: iters left: 1 (482 enodes) 172.289 * * [simplify]: Extracting #0: cost 1 inf + 0 172.290 * * [simplify]: Extracting #1: cost 4 inf + 0 172.290 * * [simplify]: Extracting #2: cost 8 inf + 0 172.290 * * [simplify]: Extracting #3: cost 57 inf + 0 172.291 * * [simplify]: Extracting #4: cost 157 inf + 0 172.292 * * [simplify]: Extracting #5: cost 226 inf + 4 172.295 * * [simplify]: Extracting #6: cost 217 inf + 6419 172.307 * * [simplify]: Extracting #7: cost 97 inf + 61852 172.328 * * [simplify]: Extracting #8: cost 16 inf + 107564 172.374 * * [simplify]: Extracting #9: cost 0 inf + 114179 172.423 * * [simplify]: Extracting #10: cost 0 inf + 112014 172.472 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 172.472 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 172.473 * * * * [progress]: [ 166 / 675 ] simplifiying candidate # 172.473 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt 1)) 172.473 * * [simplify]: iters left: 6 (17 enodes) 172.483 * * [simplify]: iters left: 5 (68 enodes) 172.507 * * [simplify]: iters left: 4 (107 enodes) 172.544 * * [simplify]: iters left: 3 (160 enodes) 172.575 * * [simplify]: iters left: 2 (258 enodes) 172.649 * * [simplify]: Extracting #0: cost 1 inf + 0 172.649 * * [simplify]: Extracting #1: cost 5 inf + 0 172.649 * * [simplify]: Extracting #2: cost 7 inf + 1 172.649 * * [simplify]: Extracting #3: cost 36 inf + 1 172.649 * * [simplify]: Extracting #4: cost 79 inf + 1 172.650 * * [simplify]: Extracting #5: cost 136 inf + 3 172.651 * * [simplify]: Extracting #6: cost 138 inf + 553 172.654 * * [simplify]: Extracting #7: cost 91 inf + 9268 172.662 * * [simplify]: Extracting #8: cost 27 inf + 38646 172.673 * * [simplify]: Extracting #9: cost 3 inf + 56960 172.681 * * [simplify]: Extracting #10: cost 0 inf + 58660 172.689 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 172.689 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 172.690 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 172.690 * * [simplify]: iters left: 6 (15 enodes) 172.694 * * [simplify]: iters left: 5 (60 enodes) 172.710 * * [simplify]: iters left: 4 (95 enodes) 172.741 * * [simplify]: iters left: 3 (144 enodes) 172.791 * * [simplify]: iters left: 2 (241 enodes) 172.838 * * [simplify]: iters left: 1 (479 enodes) 173.005 * * [simplify]: Extracting #0: cost 1 inf + 0 173.005 * * [simplify]: Extracting #1: cost 4 inf + 0 173.005 * * [simplify]: Extracting #2: cost 8 inf + 0 173.005 * * [simplify]: Extracting #3: cost 57 inf + 0 173.006 * * [simplify]: Extracting #4: cost 154 inf + 1 173.006 * * [simplify]: Extracting #5: cost 222 inf + 248 173.008 * * [simplify]: Extracting #6: cost 216 inf + 2830 173.011 * * [simplify]: Extracting #7: cost 152 inf + 17333 173.020 * * [simplify]: Extracting #8: cost 73 inf + 67214 173.058 * * [simplify]: Extracting #9: cost 2 inf + 135070 173.087 * * [simplify]: Extracting #10: cost 0 inf + 133757 173.124 * * [simplify]: Extracting #11: cost 0 inf + 133193 173.165 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 173.165 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 173.166 * * * * [progress]: [ 167 / 675 ] simplifiying candidate # 173.166 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 173.167 * * [simplify]: iters left: 6 (17 enodes) 173.176 * * [simplify]: iters left: 5 (68 enodes) 173.199 * * [simplify]: iters left: 4 (107 enodes) 173.232 * * [simplify]: iters left: 3 (159 enodes) 173.287 * * [simplify]: iters left: 2 (256 enodes) 173.370 * * [simplify]: Extracting #0: cost 1 inf + 0 173.370 * * [simplify]: Extracting #1: cost 7 inf + 0 173.370 * * [simplify]: Extracting #2: cost 14 inf + 0 173.370 * * [simplify]: Extracting #3: cost 44 inf + 0 173.371 * * [simplify]: Extracting #4: cost 87 inf + 0 173.371 * * [simplify]: Extracting #5: cost 142 inf + 3 173.372 * * [simplify]: Extracting #6: cost 137 inf + 1336 173.374 * * [simplify]: Extracting #7: cost 82 inf + 14945 173.381 * * [simplify]: Extracting #8: cost 25 inf + 43401 173.396 * * [simplify]: Extracting #9: cost 2 inf + 60596 173.412 * * [simplify]: Extracting #10: cost 0 inf + 61785 173.425 * [simplify]: Simplified to (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 173.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 173.426 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 173.426 * * [simplify]: iters left: 6 (16 enodes) 173.430 * * [simplify]: iters left: 5 (63 enodes) 173.441 * * [simplify]: iters left: 4 (98 enodes) 173.461 * * [simplify]: iters left: 3 (142 enodes) 173.504 * * [simplify]: iters left: 2 (238 enodes) 173.562 * * [simplify]: iters left: 1 (482 enodes) 173.783 * * [simplify]: Extracting #0: cost 1 inf + 0 173.783 * * [simplify]: Extracting #1: cost 4 inf + 0 173.783 * * [simplify]: Extracting #2: cost 8 inf + 0 173.783 * * [simplify]: Extracting #3: cost 57 inf + 0 173.784 * * [simplify]: Extracting #4: cost 157 inf + 0 173.785 * * [simplify]: Extracting #5: cost 226 inf + 4 173.792 * * [simplify]: Extracting #6: cost 217 inf + 6419 173.808 * * [simplify]: Extracting #7: cost 97 inf + 61852 173.832 * * [simplify]: Extracting #8: cost 16 inf + 107564 173.865 * * [simplify]: Extracting #9: cost 0 inf + 114179 173.916 * * [simplify]: Extracting #10: cost 0 inf + 112014 173.963 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 173.963 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 173.963 * * * * [progress]: [ 168 / 675 ] simplifiying candidate # 173.963 * [simplify]: Simplifying (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 1) 173.963 * * [simplify]: iters left: 6 (16 enodes) 173.968 * * [simplify]: iters left: 5 (63 enodes) 173.978 * * [simplify]: iters left: 4 (106 enodes) 174.002 * * [simplify]: iters left: 3 (151 enodes) 174.050 * * [simplify]: iters left: 2 (247 enodes) 174.131 * * [simplify]: iters left: 1 (497 enodes) 174.351 * * [simplify]: Extracting #0: cost 1 inf + 0 174.351 * * [simplify]: Extracting #1: cost 5 inf + 0 174.351 * * [simplify]: Extracting #2: cost 7 inf + 1 174.351 * * [simplify]: Extracting #3: cost 50 inf + 1 174.352 * * [simplify]: Extracting #4: cost 150 inf + 1 174.354 * * [simplify]: Extracting #5: cost 232 inf + 4 174.356 * * [simplify]: Extracting #6: cost 232 inf + 1882 174.367 * * [simplify]: Extracting #7: cost 160 inf + 14513 174.383 * * [simplify]: Extracting #8: cost 80 inf + 59352 174.417 * * [simplify]: Extracting #9: cost 6 inf + 126856 174.449 * * [simplify]: Extracting #10: cost 0 inf + 127620 174.468 * * [simplify]: Extracting #11: cost 0 inf + 127489 174.496 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 174.496 * [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))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 174.496 * [simplify]: Simplifying (/ (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 174.497 * * [simplify]: iters left: 6 (15 enodes) 174.505 * * [simplify]: iters left: 5 (60 enodes) 174.526 * * [simplify]: iters left: 4 (95 enodes) 174.556 * * [simplify]: iters left: 3 (144 enodes) 174.603 * * [simplify]: iters left: 2 (241 enodes) 174.668 * * [simplify]: iters left: 1 (479 enodes) 174.860 * * [simplify]: Extracting #0: cost 1 inf + 0 174.860 * * [simplify]: Extracting #1: cost 4 inf + 0 174.860 * * [simplify]: Extracting #2: cost 8 inf + 0 174.860 * * [simplify]: Extracting #3: cost 57 inf + 0 174.861 * * [simplify]: Extracting #4: cost 154 inf + 1 174.862 * * [simplify]: Extracting #5: cost 222 inf + 248 174.865 * * [simplify]: Extracting #6: cost 216 inf + 2830 174.872 * * [simplify]: Extracting #7: cost 152 inf + 17333 174.890 * * [simplify]: Extracting #8: cost 73 inf + 67214 174.934 * * [simplify]: Extracting #9: cost 2 inf + 135070 174.975 * * [simplify]: Extracting #10: cost 0 inf + 133757 175.006 * * [simplify]: Extracting #11: cost 0 inf + 133193 175.032 * [simplify]: Simplified to (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 175.032 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 1) (/ (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 175.033 * * * * [progress]: [ 169 / 675 ] simplifiying candidate # 175.033 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 175.033 * * [simplify]: iters left: 6 (17 enodes) 175.044 * * [simplify]: iters left: 5 (68 enodes) 175.068 * * [simplify]: iters left: 4 (105 enodes) 175.096 * * [simplify]: iters left: 3 (154 enodes) 175.122 * * [simplify]: iters left: 2 (251 enodes) 175.190 * * [simplify]: iters left: 1 (494 enodes) 175.373 * * [simplify]: Extracting #0: cost 1 inf + 0 175.373 * * [simplify]: Extracting #1: cost 6 inf + 0 175.373 * * [simplify]: Extracting #2: cost 12 inf + 0 175.374 * * [simplify]: Extracting #3: cost 58 inf + 0 175.374 * * [simplify]: Extracting #4: cost 161 inf + 0 175.375 * * [simplify]: Extracting #5: cost 242 inf + 4 175.376 * * [simplify]: Extracting #6: cost 236 inf + 3072 175.379 * * [simplify]: Extracting #7: cost 159 inf + 19724 175.397 * * [simplify]: Extracting #8: cost 42 inf + 102852 175.419 * * [simplify]: Extracting #9: cost 0 inf + 140439 175.448 * * [simplify]: Extracting #10: cost 0 inf + 136052 175.478 * * [simplify]: Extracting #11: cost 0 inf + 135607 175.501 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 175.501 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 175.501 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 175.501 * * [simplify]: iters left: 6 (16 enodes) 175.506 * * [simplify]: iters left: 5 (63 enodes) 175.521 * * [simplify]: iters left: 4 (98 enodes) 175.546 * * [simplify]: iters left: 3 (142 enodes) 175.570 * * [simplify]: iters left: 2 (238 enodes) 175.643 * * [simplify]: iters left: 1 (482 enodes) 175.884 * * [simplify]: Extracting #0: cost 1 inf + 0 175.885 * * [simplify]: Extracting #1: cost 4 inf + 0 175.885 * * [simplify]: Extracting #2: cost 8 inf + 0 175.885 * * [simplify]: Extracting #3: cost 57 inf + 0 175.886 * * [simplify]: Extracting #4: cost 157 inf + 0 175.887 * * [simplify]: Extracting #5: cost 226 inf + 4 175.890 * * [simplify]: Extracting #6: cost 217 inf + 6459 175.907 * * [simplify]: Extracting #7: cost 97 inf + 61852 175.930 * * [simplify]: Extracting #8: cost 16 inf + 107564 175.953 * * [simplify]: Extracting #9: cost 0 inf + 114179 175.979 * * [simplify]: Extracting #10: cost 0 inf + 112014 176.004 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 176.004 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 176.004 * * * * [progress]: [ 170 / 675 ] simplifiying candidate # 176.004 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 176.005 * * [simplify]: iters left: 6 (18 enodes) 176.009 * * [simplify]: iters left: 5 (70 enodes) 176.020 * * [simplify]: iters left: 4 (101 enodes) 176.051 * * [simplify]: iters left: 3 (150 enodes) 176.081 * * [simplify]: iters left: 2 (267 enodes) 176.148 * * [simplify]: Extracting #0: cost 1 inf + 0 176.148 * * [simplify]: Extracting #1: cost 4 inf + 0 176.148 * * [simplify]: Extracting #2: cost 9 inf + 0 176.148 * * [simplify]: Extracting #3: cost 41 inf + 0 176.149 * * [simplify]: Extracting #4: cost 85 inf + 0 176.149 * * [simplify]: Extracting #5: cost 140 inf + 3 176.150 * * [simplify]: Extracting #6: cost 129 inf + 2026 176.152 * * [simplify]: Extracting #7: cost 67 inf + 18978 176.158 * * [simplify]: Extracting #8: cost 9 inf + 50952 176.166 * * [simplify]: Extracting #9: cost 0 inf + 57130 176.173 * * [simplify]: Extracting #10: cost 0 inf + 57049 176.181 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 176.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 176.181 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 176.181 * * [simplify]: iters left: 6 (17 enodes) 176.186 * * [simplify]: iters left: 5 (66 enodes) 176.202 * * [simplify]: iters left: 4 (101 enodes) 176.236 * * [simplify]: iters left: 3 (145 enodes) 176.284 * * [simplify]: iters left: 2 (241 enodes) 176.351 * * [simplify]: iters left: 1 (486 enodes) 176.603 * * [simplify]: Extracting #0: cost 1 inf + 0 176.603 * * [simplify]: Extracting #1: cost 4 inf + 0 176.603 * * [simplify]: Extracting #2: cost 8 inf + 0 176.603 * * [simplify]: Extracting #3: cost 60 inf + 0 176.604 * * [simplify]: Extracting #4: cost 171 inf + 0 176.606 * * [simplify]: Extracting #5: cost 242 inf + 4 176.609 * * [simplify]: Extracting #6: cost 234 inf + 2531 176.618 * * [simplify]: Extracting #7: cost 152 inf + 28160 176.641 * * [simplify]: Extracting #8: cost 29 inf + 126998 176.667 * * [simplify]: Extracting #9: cost 0 inf + 151087 176.703 * * [simplify]: Extracting #10: cost 0 inf + 147453 176.730 * * [simplify]: Extracting #11: cost 0 inf + 146041 176.775 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 176.776 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 176.776 * * * * [progress]: [ 171 / 675 ] simplifiying candidate # 176.776 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 176.776 * * [simplify]: iters left: 6 (19 enodes) 176.786 * * [simplify]: iters left: 5 (73 enodes) 176.811 * * [simplify]: iters left: 4 (104 enodes) 176.844 * * [simplify]: iters left: 3 (153 enodes) 176.896 * * [simplify]: iters left: 2 (267 enodes) 176.998 * * [simplify]: Extracting #0: cost 1 inf + 0 176.998 * * [simplify]: Extracting #1: cost 4 inf + 0 176.998 * * [simplify]: Extracting #2: cost 8 inf + 0 176.999 * * [simplify]: Extracting #3: cost 40 inf + 0 176.999 * * [simplify]: Extracting #4: cost 85 inf + 0 177.000 * * [simplify]: Extracting #5: cost 141 inf + 205 177.002 * * [simplify]: Extracting #6: cost 119 inf + 3551 177.007 * * [simplify]: Extracting #7: cost 48 inf + 32642 177.015 * * [simplify]: Extracting #8: cost 1 inf + 60050 177.023 * * [simplify]: Extracting #9: cost 0 inf + 59103 177.030 * * [simplify]: Extracting #10: cost 0 inf + 58849 177.038 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 177.038 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 177.039 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 177.039 * * [simplify]: iters left: 6 (18 enodes) 177.045 * * [simplify]: iters left: 5 (69 enodes) 177.057 * * [simplify]: iters left: 4 (104 enodes) 177.089 * * [simplify]: iters left: 3 (152 enodes) 177.126 * * [simplify]: iters left: 2 (249 enodes) 177.189 * * [simplify]: iters left: 1 (493 enodes) 177.404 * * [simplify]: Extracting #0: cost 1 inf + 0 177.404 * * [simplify]: Extracting #1: cost 4 inf + 0 177.404 * * [simplify]: Extracting #2: cost 8 inf + 0 177.404 * * [simplify]: Extracting #3: cost 55 inf + 0 177.405 * * [simplify]: Extracting #4: cost 162 inf + 0 177.407 * * [simplify]: Extracting #5: cost 234 inf + 4 177.409 * * [simplify]: Extracting #6: cost 237 inf + 1126 177.415 * * [simplify]: Extracting #7: cost 166 inf + 13765 177.429 * * [simplify]: Extracting #8: cost 83 inf + 58823 177.446 * * [simplify]: Extracting #9: cost 5 inf + 131456 177.473 * * [simplify]: Extracting #10: cost 0 inf + 133618 177.514 * * [simplify]: Extracting #11: cost 0 inf + 133045 177.550 * * [simplify]: Extracting #12: cost 0 inf + 132995 177.572 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 177.573 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 177.573 * * * * [progress]: [ 172 / 675 ] simplifiying candidate # 177.573 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 177.573 * * [simplify]: iters left: 6 (16 enodes) 177.578 * * [simplify]: iters left: 5 (63 enodes) 177.588 * * [simplify]: iters left: 4 (98 enodes) 177.617 * * [simplify]: iters left: 3 (142 enodes) 177.648 * * [simplify]: iters left: 2 (238 enodes) 177.735 * * [simplify]: iters left: 1 (482 enodes) 177.921 * * [simplify]: Extracting #0: cost 1 inf + 0 177.921 * * [simplify]: Extracting #1: cost 4 inf + 0 177.921 * * [simplify]: Extracting #2: cost 8 inf + 0 177.921 * * [simplify]: Extracting #3: cost 57 inf + 0 177.922 * * [simplify]: Extracting #4: cost 157 inf + 0 177.923 * * [simplify]: Extracting #5: cost 226 inf + 4 177.926 * * [simplify]: Extracting #6: cost 217 inf + 6419 177.944 * * [simplify]: Extracting #7: cost 97 inf + 61732 177.978 * * [simplify]: Extracting #8: cost 16 inf + 107404 178.002 * * [simplify]: Extracting #9: cost 0 inf + 114019 178.049 * * [simplify]: Extracting #10: cost 0 inf + 111854 178.081 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 178.081 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 178.081 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 178.081 * * [simplify]: iters left: 6 (16 enodes) 178.086 * * [simplify]: iters left: 5 (63 enodes) 178.099 * * [simplify]: iters left: 4 (98 enodes) 178.129 * * [simplify]: iters left: 3 (142 enodes) 178.153 * * [simplify]: iters left: 2 (238 enodes) 178.241 * * [simplify]: iters left: 1 (482 enodes) 178.490 * * [simplify]: Extracting #0: cost 1 inf + 0 178.490 * * [simplify]: Extracting #1: cost 4 inf + 0 178.490 * * [simplify]: Extracting #2: cost 8 inf + 0 178.490 * * [simplify]: Extracting #3: cost 57 inf + 0 178.490 * * [simplify]: Extracting #4: cost 157 inf + 0 178.491 * * [simplify]: Extracting #5: cost 226 inf + 4 178.493 * * [simplify]: Extracting #6: cost 217 inf + 6419 178.502 * * [simplify]: Extracting #7: cost 97 inf + 61732 178.521 * * [simplify]: Extracting #8: cost 16 inf + 107404 178.572 * * [simplify]: Extracting #9: cost 0 inf + 114019 178.622 * * [simplify]: Extracting #10: cost 0 inf + 111854 178.672 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 178.672 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 178.672 * * * * [progress]: [ 173 / 675 ] simplifiying candidate # 178.673 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt 1))) 178.673 * * [simplify]: iters left: 6 (17 enodes) 178.679 * * [simplify]: iters left: 5 (66 enodes) 178.690 * * [simplify]: iters left: 4 (101 enodes) 178.706 * * [simplify]: iters left: 3 (147 enodes) 178.740 * * [simplify]: iters left: 2 (243 enodes) 178.791 * * [simplify]: iters left: 1 (497 enodes) 179.058 * * [simplify]: Extracting #0: cost 1 inf + 0 179.058 * * [simplify]: Extracting #1: cost 4 inf + 0 179.059 * * [simplify]: Extracting #2: cost 43 inf + 1 179.059 * * [simplify]: Extracting #3: cost 142 inf + 1 179.060 * * [simplify]: Extracting #4: cost 228 inf + 4 179.061 * * [simplify]: Extracting #5: cost 210 inf + 6288 179.071 * * [simplify]: Extracting #6: cost 70 inf + 83727 179.090 * * [simplify]: Extracting #7: cost 0 inf + 127452 179.129 * * [simplify]: Extracting #8: cost 0 inf + 125243 179.162 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 179.163 * [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)))) (sqrt (sqrt k))))) 179.163 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 179.163 * * [simplify]: iters left: 6 (15 enodes) 179.171 * * [simplify]: iters left: 5 (60 enodes) 179.191 * * [simplify]: iters left: 4 (95 enodes) 179.220 * * [simplify]: iters left: 3 (144 enodes) 179.269 * * [simplify]: iters left: 2 (241 enodes) 179.347 * * [simplify]: iters left: 1 (479 enodes) 179.549 * * [simplify]: Extracting #0: cost 1 inf + 0 179.549 * * [simplify]: Extracting #1: cost 4 inf + 0 179.549 * * [simplify]: Extracting #2: cost 8 inf + 0 179.549 * * [simplify]: Extracting #3: cost 57 inf + 0 179.550 * * [simplify]: Extracting #4: cost 154 inf + 1 179.551 * * [simplify]: Extracting #5: cost 222 inf + 248 179.554 * * [simplify]: Extracting #6: cost 216 inf + 2830 179.560 * * [simplify]: Extracting #7: cost 152 inf + 17213 179.579 * * [simplify]: Extracting #8: cost 73 inf + 67054 179.617 * * [simplify]: Extracting #9: cost 2 inf + 134910 179.656 * * [simplify]: Extracting #10: cost 0 inf + 133597 179.680 * * [simplify]: Extracting #11: cost 0 inf + 133033 179.719 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 179.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 179.720 * * * * [progress]: [ 174 / 675 ] simplifiying candidate # 179.720 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 179.720 * * [simplify]: iters left: 6 (16 enodes) 179.728 * * [simplify]: iters left: 5 (63 enodes) 179.739 * * [simplify]: iters left: 4 (98 enodes) 179.755 * * [simplify]: iters left: 3 (142 enodes) 179.800 * * [simplify]: iters left: 2 (238 enodes) 179.891 * * [simplify]: iters left: 1 (482 enodes) 180.126 * * [simplify]: Extracting #0: cost 1 inf + 0 180.126 * * [simplify]: Extracting #1: cost 4 inf + 0 180.126 * * [simplify]: Extracting #2: cost 8 inf + 0 180.127 * * [simplify]: Extracting #3: cost 57 inf + 0 180.127 * * [simplify]: Extracting #4: cost 157 inf + 0 180.128 * * [simplify]: Extracting #5: cost 226 inf + 4 180.129 * * [simplify]: Extracting #6: cost 217 inf + 6419 180.142 * * [simplify]: Extracting #7: cost 97 inf + 61732 180.174 * * [simplify]: Extracting #8: cost 16 inf + 107404 180.220 * * [simplify]: Extracting #9: cost 0 inf + 114019 180.270 * * [simplify]: Extracting #10: cost 0 inf + 111854 180.319 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 180.319 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 180.320 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 180.320 * * [simplify]: iters left: 6 (16 enodes) 180.329 * * [simplify]: iters left: 5 (63 enodes) 180.340 * * [simplify]: iters left: 4 (98 enodes) 180.356 * * [simplify]: iters left: 3 (142 enodes) 180.400 * * [simplify]: iters left: 2 (238 enodes) 180.466 * * [simplify]: iters left: 1 (482 enodes) 180.676 * * [simplify]: Extracting #0: cost 1 inf + 0 180.676 * * [simplify]: Extracting #1: cost 4 inf + 0 180.677 * * [simplify]: Extracting #2: cost 8 inf + 0 180.677 * * [simplify]: Extracting #3: cost 57 inf + 0 180.677 * * [simplify]: Extracting #4: cost 157 inf + 0 180.678 * * [simplify]: Extracting #5: cost 226 inf + 4 180.679 * * [simplify]: Extracting #6: cost 217 inf + 6419 180.688 * * [simplify]: Extracting #7: cost 97 inf + 61732 180.708 * * [simplify]: Extracting #8: cost 16 inf + 107404 180.735 * * [simplify]: Extracting #9: cost 0 inf + 114019 180.762 * * [simplify]: Extracting #10: cost 0 inf + 111854 180.788 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 180.788 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 180.788 * * * * [progress]: [ 175 / 675 ] simplifiying candidate # 180.788 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt 1)) 180.788 * * [simplify]: iters left: 6 (16 enodes) 180.793 * * [simplify]: iters left: 5 (63 enodes) 180.804 * * [simplify]: iters left: 4 (98 enodes) 180.820 * * [simplify]: iters left: 3 (144 enodes) 180.843 * * [simplify]: iters left: 2 (240 enodes) 180.893 * * [simplify]: iters left: 1 (483 enodes) 181.099 * * [simplify]: Extracting #0: cost 1 inf + 0 181.100 * * [simplify]: Extracting #1: cost 4 inf + 0 181.100 * * [simplify]: Extracting #2: cost 48 inf + 1 181.100 * * [simplify]: Extracting #3: cost 148 inf + 1 181.101 * * [simplify]: Extracting #4: cost 218 inf + 4 181.102 * * [simplify]: Extracting #5: cost 211 inf + 5806 181.108 * * [simplify]: Extracting #6: cost 110 inf + 46428 181.137 * * [simplify]: Extracting #7: cost 12 inf + 119176 181.173 * * [simplify]: Extracting #8: cost 0 inf + 128923 181.215 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 181.215 * [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)))) (sqrt (sqrt k))))) 181.215 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 181.216 * * [simplify]: iters left: 6 (15 enodes) 181.224 * * [simplify]: iters left: 5 (60 enodes) 181.244 * * [simplify]: iters left: 4 (95 enodes) 181.265 * * [simplify]: iters left: 3 (144 enodes) 181.297 * * [simplify]: iters left: 2 (241 enodes) 181.391 * * [simplify]: iters left: 1 (479 enodes) 181.621 * * [simplify]: Extracting #0: cost 1 inf + 0 181.621 * * [simplify]: Extracting #1: cost 4 inf + 0 181.621 * * [simplify]: Extracting #2: cost 8 inf + 0 181.621 * * [simplify]: Extracting #3: cost 57 inf + 0 181.622 * * [simplify]: Extracting #4: cost 154 inf + 1 181.623 * * [simplify]: Extracting #5: cost 222 inf + 248 181.626 * * [simplify]: Extracting #6: cost 216 inf + 2830 181.636 * * [simplify]: Extracting #7: cost 152 inf + 17213 181.652 * * [simplify]: Extracting #8: cost 73 inf + 67054 181.671 * * [simplify]: Extracting #9: cost 2 inf + 134910 181.705 * * [simplify]: Extracting #10: cost 0 inf + 133597 181.741 * * [simplify]: Extracting #11: cost 0 inf + 133033 181.766 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 181.766 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 181.766 * * * * [progress]: [ 176 / 675 ] simplifiying candidate # 181.766 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 181.767 * * [simplify]: iters left: 6 (16 enodes) 181.771 * * [simplify]: iters left: 5 (63 enodes) 181.781 * * [simplify]: iters left: 4 (98 enodes) 181.796 * * [simplify]: iters left: 3 (142 enodes) 181.825 * * [simplify]: iters left: 2 (238 enodes) 181.915 * * [simplify]: iters left: 1 (482 enodes) 182.140 * * [simplify]: Extracting #0: cost 1 inf + 0 182.140 * * [simplify]: Extracting #1: cost 4 inf + 0 182.140 * * [simplify]: Extracting #2: cost 8 inf + 0 182.140 * * [simplify]: Extracting #3: cost 57 inf + 0 182.140 * * [simplify]: Extracting #4: cost 157 inf + 0 182.141 * * [simplify]: Extracting #5: cost 226 inf + 4 182.143 * * [simplify]: Extracting #6: cost 217 inf + 6419 182.153 * * [simplify]: Extracting #7: cost 97 inf + 61732 182.183 * * [simplify]: Extracting #8: cost 16 inf + 107404 182.218 * * [simplify]: Extracting #9: cost 0 inf + 114019 182.254 * * [simplify]: Extracting #10: cost 0 inf + 111854 182.291 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 182.291 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 182.292 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 182.292 * * [simplify]: iters left: 6 (16 enodes) 182.296 * * [simplify]: iters left: 5 (63 enodes) 182.306 * * [simplify]: iters left: 4 (98 enodes) 182.326 * * [simplify]: iters left: 3 (142 enodes) 182.358 * * [simplify]: iters left: 2 (238 enodes) 182.431 * * [simplify]: iters left: 1 (482 enodes) 182.626 * * [simplify]: Extracting #0: cost 1 inf + 0 182.626 * * [simplify]: Extracting #1: cost 4 inf + 0 182.626 * * [simplify]: Extracting #2: cost 8 inf + 0 182.626 * * [simplify]: Extracting #3: cost 57 inf + 0 182.627 * * [simplify]: Extracting #4: cost 157 inf + 0 182.629 * * [simplify]: Extracting #5: cost 226 inf + 4 182.632 * * [simplify]: Extracting #6: cost 217 inf + 6419 182.650 * * [simplify]: Extracting #7: cost 97 inf + 61732 182.688 * * [simplify]: Extracting #8: cost 16 inf + 107404 182.739 * * [simplify]: Extracting #9: cost 0 inf + 114019 182.773 * * [simplify]: Extracting #10: cost 0 inf + 111854 182.815 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 182.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 182.815 * * * * [progress]: [ 177 / 675 ] simplifiying candidate # 182.815 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 1) 182.815 * * [simplify]: iters left: 6 (15 enodes) 182.824 * * [simplify]: iters left: 5 (58 enodes) 182.843 * * [simplify]: iters left: 4 (93 enodes) 182.873 * * [simplify]: iters left: 3 (139 enodes) 182.921 * * [simplify]: iters left: 2 (235 enodes) 183.010 * * [simplify]: iters left: 1 (474 enodes) 183.218 * * [simplify]: Extracting #0: cost 1 inf + 0 183.218 * * [simplify]: Extracting #1: cost 4 inf + 0 183.218 * * [simplify]: Extracting #2: cost 50 inf + 1 183.219 * * [simplify]: Extracting #3: cost 162 inf + 1 183.220 * * [simplify]: Extracting #4: cost 232 inf + 4 183.221 * * [simplify]: Extracting #5: cost 207 inf + 10345 183.234 * * [simplify]: Extracting #6: cost 78 inf + 79765 183.257 * * [simplify]: Extracting #7: cost 2 inf + 126863 183.291 * * [simplify]: Extracting #8: cost 0 inf + 128742 183.321 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 183.321 * [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)))) (sqrt (sqrt k))))) 183.321 * [simplify]: Simplifying (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 183.321 * * [simplify]: iters left: 6 (15 enodes) 183.325 * * [simplify]: iters left: 5 (60 enodes) 183.335 * * [simplify]: iters left: 4 (95 enodes) 183.350 * * [simplify]: iters left: 3 (144 enodes) 183.388 * * [simplify]: iters left: 2 (241 enodes) 183.483 * * [simplify]: iters left: 1 (479 enodes) 183.699 * * [simplify]: Extracting #0: cost 1 inf + 0 183.699 * * [simplify]: Extracting #1: cost 4 inf + 0 183.699 * * [simplify]: Extracting #2: cost 8 inf + 0 183.699 * * [simplify]: Extracting #3: cost 57 inf + 0 183.700 * * [simplify]: Extracting #4: cost 154 inf + 1 183.702 * * [simplify]: Extracting #5: cost 222 inf + 248 183.704 * * [simplify]: Extracting #6: cost 216 inf + 2830 183.711 * * [simplify]: Extracting #7: cost 152 inf + 17213 183.733 * * [simplify]: Extracting #8: cost 73 inf + 67054 183.771 * * [simplify]: Extracting #9: cost 2 inf + 134910 183.812 * * [simplify]: Extracting #10: cost 0 inf + 133597 183.842 * * [simplify]: Extracting #11: cost 0 inf + 133033 183.866 * [simplify]: Simplified to (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))) 183.866 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 1) (/ (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 183.866 * * * * [progress]: [ 178 / 675 ] simplifiying candidate # 183.866 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 183.867 * * [simplify]: iters left: 6 (13 enodes) 183.874 * * [simplify]: iters left: 5 (56 enodes) 183.888 * * [simplify]: iters left: 4 (104 enodes) 183.906 * * [simplify]: iters left: 3 (200 enodes) 183.992 * * [simplify]: Extracting #0: cost 1 inf + 0 183.992 * * [simplify]: Extracting #1: cost 46 inf + 0 183.993 * * [simplify]: Extracting #2: cost 128 inf + 0 183.994 * * [simplify]: Extracting #3: cost 162 inf + 3 183.995 * * [simplify]: Extracting #4: cost 152 inf + 1049 183.998 * * [simplify]: Extracting #5: cost 116 inf + 7759 184.007 * * [simplify]: Extracting #6: cost 39 inf + 47310 184.025 * * [simplify]: Extracting #7: cost 0 inf + 73602 184.044 * * [simplify]: Extracting #8: cost 0 inf + 73483 184.063 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 184.063 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 184.064 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 184.064 * * [simplify]: iters left: 6 (13 enodes) 184.071 * * [simplify]: iters left: 5 (53 enodes) 184.089 * * [simplify]: iters left: 4 (86 enodes) 184.116 * * [simplify]: iters left: 3 (138 enodes) 184.170 * * [simplify]: iters left: 2 (273 enodes) 184.291 * * [simplify]: Extracting #0: cost 1 inf + 0 184.291 * * [simplify]: Extracting #1: cost 57 inf + 0 184.291 * * [simplify]: Extracting #2: cost 155 inf + 0 184.292 * * [simplify]: Extracting #3: cost 220 inf + 2 184.293 * * [simplify]: Extracting #4: cost 229 inf + 53 184.294 * * [simplify]: Extracting #5: cost 198 inf + 5670 184.297 * * [simplify]: Extracting #6: cost 141 inf + 20858 184.305 * * [simplify]: Extracting #7: cost 48 inf + 81611 184.319 * * [simplify]: Extracting #8: cost 1 inf + 120250 184.343 * * [simplify]: Extracting #9: cost 0 inf + 121114 184.364 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 184.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 184.364 * * * * [progress]: [ 179 / 675 ] simplifiying candidate # 184.365 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 184.365 * * [simplify]: iters left: 6 (16 enodes) 184.373 * * [simplify]: iters left: 5 (64 enodes) 184.394 * * [simplify]: iters left: 4 (106 enodes) 184.428 * * [simplify]: iters left: 3 (209 enodes) 184.490 * * [simplify]: Extracting #0: cost 1 inf + 0 184.491 * * [simplify]: Extracting #1: cost 56 inf + 0 184.491 * * [simplify]: Extracting #2: cost 141 inf + 0 184.493 * * [simplify]: Extracting #3: cost 182 inf + 1 184.495 * * [simplify]: Extracting #4: cost 187 inf + 9 184.497 * * [simplify]: Extracting #5: cost 150 inf + 6051 184.506 * * [simplify]: Extracting #6: cost 69 inf + 45526 184.528 * * [simplify]: Extracting #7: cost 4 inf + 89986 184.551 * * [simplify]: Extracting #8: cost 0 inf + 92581 184.575 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 184.575 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 184.576 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 184.576 * * [simplify]: iters left: 6 (15 enodes) 184.584 * * [simplify]: iters left: 5 (59 enodes) 184.603 * * [simplify]: iters left: 4 (96 enodes) 184.621 * * [simplify]: iters left: 3 (164 enodes) 184.671 * * [simplify]: iters left: 2 (347 enodes) 184.826 * * [simplify]: Extracting #0: cost 1 inf + 0 184.826 * * [simplify]: Extracting #1: cost 88 inf + 0 184.827 * * [simplify]: Extracting #2: cost 243 inf + 0 184.831 * * [simplify]: Extracting #3: cost 312 inf + 2 184.832 * * [simplify]: Extracting #4: cost 324 inf + 53 184.834 * * [simplify]: Extracting #5: cost 305 inf + 1818 184.838 * * [simplify]: Extracting #6: cost 205 inf + 39479 184.856 * * [simplify]: Extracting #7: cost 26 inf + 174185 184.902 * * [simplify]: Extracting #8: cost 0 inf + 193568 184.942 * * [simplify]: Extracting #9: cost 0 inf + 192833 184.967 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 184.967 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 184.967 * * * * [progress]: [ 180 / 675 ] simplifiying candidate # 184.967 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 184.967 * * [simplify]: iters left: 6 (17 enodes) 184.974 * * [simplify]: iters left: 5 (67 enodes) 184.997 * * [simplify]: iters left: 4 (109 enodes) 185.033 * * [simplify]: iters left: 3 (215 enodes) 185.122 * * [simplify]: Extracting #0: cost 1 inf + 0 185.122 * * [simplify]: Extracting #1: cost 58 inf + 0 185.123 * * [simplify]: Extracting #2: cost 141 inf + 0 185.123 * * [simplify]: Extracting #3: cost 183 inf + 1 185.124 * * [simplify]: Extracting #4: cost 190 inf + 9 185.125 * * [simplify]: Extracting #5: cost 151 inf + 6492 185.132 * * [simplify]: Extracting #6: cost 50 inf + 57328 185.144 * * [simplify]: Extracting #7: cost 2 inf + 91955 185.169 * * [simplify]: Extracting #8: cost 0 inf + 93090 185.196 * [simplify]: Simplified to (/ (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) 185.196 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 185.196 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 185.197 * * [simplify]: iters left: 6 (16 enodes) 185.202 * * [simplify]: iters left: 5 (62 enodes) 185.212 * * [simplify]: iters left: 4 (99 enodes) 185.227 * * [simplify]: iters left: 3 (163 enodes) 185.271 * * [simplify]: iters left: 2 (341 enodes) 185.372 * * [simplify]: Extracting #0: cost 1 inf + 0 185.372 * * [simplify]: Extracting #1: cost 89 inf + 0 185.373 * * [simplify]: Extracting #2: cost 240 inf + 0 185.374 * * [simplify]: Extracting #3: cost 310 inf + 2 185.375 * * [simplify]: Extracting #4: cost 320 inf + 53 185.376 * * [simplify]: Extracting #5: cost 297 inf + 2439 185.382 * * [simplify]: Extracting #6: cost 181 inf + 57849 185.414 * * [simplify]: Extracting #7: cost 25 inf + 178644 185.464 * * [simplify]: Extracting #8: cost 0 inf + 199252 185.505 * * [simplify]: Extracting #9: cost 0 inf + 198427 185.538 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))) 185.539 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))))) 185.539 * * * * [progress]: [ 181 / 675 ] simplifiying candidate # 185.539 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 185.539 * * [simplify]: iters left: 6 (14 enodes) 185.547 * * [simplify]: iters left: 5 (57 enodes) 185.567 * * [simplify]: iters left: 4 (103 enodes) 185.605 * * [simplify]: iters left: 3 (204 enodes) 185.661 * * [simplify]: Extracting #0: cost 1 inf + 0 185.661 * * [simplify]: Extracting #1: cost 57 inf + 0 185.661 * * [simplify]: Extracting #2: cost 140 inf + 0 185.662 * * [simplify]: Extracting #3: cost 179 inf + 1 185.662 * * [simplify]: Extracting #4: cost 181 inf + 9 185.664 * * [simplify]: Extracting #5: cost 135 inf + 14168 185.673 * * [simplify]: Extracting #6: cost 28 inf + 66479 185.691 * * [simplify]: Extracting #7: cost 0 inf + 85040 185.716 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 185.716 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 185.717 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 185.717 * * [simplify]: iters left: 6 (14 enodes) 185.725 * * [simplify]: iters left: 5 (56 enodes) 185.743 * * [simplify]: iters left: 4 (93 enodes) 185.774 * * [simplify]: iters left: 3 (157 enodes) 185.833 * * [simplify]: iters left: 2 (335 enodes) 185.986 * * [simplify]: Extracting #0: cost 1 inf + 0 185.987 * * [simplify]: Extracting #1: cost 90 inf + 0 185.988 * * [simplify]: Extracting #2: cost 242 inf + 0 185.990 * * [simplify]: Extracting #3: cost 311 inf + 2 185.993 * * [simplify]: Extracting #4: cost 320 inf + 53 185.995 * * [simplify]: Extracting #5: cost 297 inf + 2836 185.998 * * [simplify]: Extracting #6: cost 229 inf + 21362 186.015 * * [simplify]: Extracting #7: cost 51 inf + 152540 186.043 * * [simplify]: Extracting #8: cost 1 inf + 194302 186.081 * * [simplify]: Extracting #9: cost 0 inf + 193247 186.117 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 186.117 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 186.117 * * * * [progress]: [ 182 / 675 ] simplifiying candidate # 186.117 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 186.117 * * [simplify]: iters left: 6 (15 enodes) 186.123 * * [simplify]: iters left: 5 (60 enodes) 186.134 * * [simplify]: iters left: 4 (100 enodes) 186.150 * * [simplify]: iters left: 3 (176 enodes) 186.206 * * [simplify]: iters left: 2 (445 enodes) 186.562 * * [simplify]: Extracting #0: cost 1 inf + 0 186.563 * * [simplify]: Extracting #1: cost 112 inf + 0 186.565 * * [simplify]: Extracting #2: cost 281 inf + 1 186.568 * * [simplify]: Extracting #3: cost 328 inf + 4 186.570 * * [simplify]: Extracting #4: cost 340 inf + 11 186.573 * * [simplify]: Extracting #5: cost 336 inf + 427 186.579 * * [simplify]: Extracting #6: cost 277 inf + 11507 186.611 * * [simplify]: Extracting #7: cost 92 inf + 135885 186.650 * * [simplify]: Extracting #8: cost 1 inf + 206355 186.696 * * [simplify]: Extracting #9: cost 0 inf + 204994 186.731 * * [simplify]: Extracting #10: cost 0 inf + 204790 186.779 * * [simplify]: Extracting #11: cost 0 inf + 204749 186.847 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 186.847 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 186.847 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 186.848 * * [simplify]: iters left: 6 (13 enodes) 186.851 * * [simplify]: iters left: 5 (53 enodes) 186.861 * * [simplify]: iters left: 4 (90 enodes) 186.878 * * [simplify]: iters left: 3 (154 enodes) 186.917 * * [simplify]: iters left: 2 (332 enodes) 187.062 * * [simplify]: Extracting #0: cost 1 inf + 0 187.063 * * [simplify]: Extracting #1: cost 89 inf + 0 187.064 * * [simplify]: Extracting #2: cost 239 inf + 0 187.066 * * [simplify]: Extracting #3: cost 312 inf + 2 187.067 * * [simplify]: Extracting #4: cost 298 inf + 2934 187.070 * * [simplify]: Extracting #5: cost 250 inf + 12566 187.080 * * [simplify]: Extracting #6: cost 118 inf + 92747 187.107 * * [simplify]: Extracting #7: cost 4 inf + 181321 187.151 * * [simplify]: Extracting #8: cost 0 inf + 182198 187.174 * * [simplify]: Extracting #9: cost 0 inf + 182067 187.215 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 187.215 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 187.215 * * * * [progress]: [ 183 / 675 ] simplifiying candidate # 187.216 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 187.216 * * [simplify]: iters left: 6 (14 enodes) 187.223 * * [simplify]: iters left: 5 (57 enodes) 187.234 * * [simplify]: iters left: 4 (103 enodes) 187.253 * * [simplify]: iters left: 3 (204 enodes) 187.312 * * [simplify]: Extracting #0: cost 1 inf + 0 187.312 * * [simplify]: Extracting #1: cost 57 inf + 0 187.313 * * [simplify]: Extracting #2: cost 140 inf + 0 187.314 * * [simplify]: Extracting #3: cost 179 inf + 1 187.314 * * [simplify]: Extracting #4: cost 181 inf + 9 187.316 * * [simplify]: Extracting #5: cost 135 inf + 14168 187.328 * * [simplify]: Extracting #6: cost 28 inf + 66479 187.339 * * [simplify]: Extracting #7: cost 0 inf + 85040 187.350 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 187.350 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 187.351 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 187.351 * * [simplify]: iters left: 6 (14 enodes) 187.355 * * [simplify]: iters left: 5 (56 enodes) 187.364 * * [simplify]: iters left: 4 (93 enodes) 187.379 * * [simplify]: iters left: 3 (157 enodes) 187.411 * * [simplify]: iters left: 2 (335 enodes) 187.540 * * [simplify]: Extracting #0: cost 1 inf + 0 187.541 * * [simplify]: Extracting #1: cost 90 inf + 0 187.542 * * [simplify]: Extracting #2: cost 242 inf + 0 187.544 * * [simplify]: Extracting #3: cost 311 inf + 2 187.547 * * [simplify]: Extracting #4: cost 320 inf + 53 187.550 * * [simplify]: Extracting #5: cost 297 inf + 2836 187.557 * * [simplify]: Extracting #6: cost 229 inf + 21362 187.590 * * [simplify]: Extracting #7: cost 51 inf + 152540 187.641 * * [simplify]: Extracting #8: cost 1 inf + 194302 187.681 * * [simplify]: Extracting #9: cost 0 inf + 193247 187.714 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 187.714 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 187.715 * * * * [progress]: [ 184 / 675 ] simplifiying candidate # 187.715 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 187.715 * * [simplify]: iters left: 6 (14 enodes) 187.724 * * [simplify]: iters left: 5 (57 enodes) 187.743 * * [simplify]: iters left: 4 (97 enodes) 187.777 * * [simplify]: iters left: 3 (175 enodes) 187.861 * * [simplify]: iters left: 2 (444 enodes) 188.270 * * [simplify]: Extracting #0: cost 1 inf + 0 188.270 * * [simplify]: Extracting #1: cost 108 inf + 0 188.271 * * [simplify]: Extracting #2: cost 277 inf + 1 188.272 * * [simplify]: Extracting #3: cost 325 inf + 4 188.274 * * [simplify]: Extracting #4: cost 337 inf + 11 188.276 * * [simplify]: Extracting #5: cost 308 inf + 4830 188.286 * * [simplify]: Extracting #6: cost 212 inf + 40728 188.310 * * [simplify]: Extracting #7: cost 58 inf + 151700 188.350 * * [simplify]: Extracting #8: cost 0 inf + 194810 188.412 * * [simplify]: Extracting #9: cost 0 inf + 193782 188.469 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 188.469 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 188.470 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 188.470 * * [simplify]: iters left: 6 (13 enodes) 188.477 * * [simplify]: iters left: 5 (53 enodes) 188.495 * * [simplify]: iters left: 4 (90 enodes) 188.524 * * [simplify]: iters left: 3 (154 enodes) 188.584 * * [simplify]: iters left: 2 (332 enodes) 188.702 * * [simplify]: Extracting #0: cost 1 inf + 0 188.702 * * [simplify]: Extracting #1: cost 89 inf + 0 188.704 * * [simplify]: Extracting #2: cost 239 inf + 0 188.705 * * [simplify]: Extracting #3: cost 312 inf + 2 188.706 * * [simplify]: Extracting #4: cost 298 inf + 2934 188.709 * * [simplify]: Extracting #5: cost 250 inf + 12566 188.727 * * [simplify]: Extracting #6: cost 118 inf + 92747 188.769 * * [simplify]: Extracting #7: cost 4 inf + 181321 188.791 * * [simplify]: Extracting #8: cost 0 inf + 182198 188.813 * * [simplify]: Extracting #9: cost 0 inf + 182067 188.856 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 188.856 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 188.856 * * * * [progress]: [ 185 / 675 ] simplifiying candidate # 188.857 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 188.858 * * [simplify]: iters left: 6 (14 enodes) 188.866 * * [simplify]: iters left: 5 (57 enodes) 188.886 * * [simplify]: iters left: 4 (103 enodes) 188.918 * * [simplify]: iters left: 3 (204 enodes) 188.971 * * [simplify]: Extracting #0: cost 1 inf + 0 188.972 * * [simplify]: Extracting #1: cost 57 inf + 0 188.972 * * [simplify]: Extracting #2: cost 140 inf + 0 188.973 * * [simplify]: Extracting #3: cost 179 inf + 1 188.975 * * [simplify]: Extracting #4: cost 181 inf + 9 188.978 * * [simplify]: Extracting #5: cost 135 inf + 14168 188.994 * * [simplify]: Extracting #6: cost 28 inf + 66479 189.016 * * [simplify]: Extracting #7: cost 0 inf + 85040 189.039 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 189.039 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 189.040 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 189.040 * * [simplify]: iters left: 6 (14 enodes) 189.047 * * [simplify]: iters left: 5 (56 enodes) 189.066 * * [simplify]: iters left: 4 (93 enodes) 189.093 * * [simplify]: iters left: 3 (157 enodes) 189.126 * * [simplify]: iters left: 2 (335 enodes) 189.271 * * [simplify]: Extracting #0: cost 1 inf + 0 189.271 * * [simplify]: Extracting #1: cost 90 inf + 0 189.272 * * [simplify]: Extracting #2: cost 242 inf + 0 189.273 * * [simplify]: Extracting #3: cost 311 inf + 2 189.274 * * [simplify]: Extracting #4: cost 320 inf + 53 189.276 * * [simplify]: Extracting #5: cost 297 inf + 2836 189.279 * * [simplify]: Extracting #6: cost 229 inf + 21362 189.305 * * [simplify]: Extracting #7: cost 51 inf + 152540 189.353 * * [simplify]: Extracting #8: cost 1 inf + 194302 189.386 * * [simplify]: Extracting #9: cost 0 inf + 193247 189.411 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 189.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 189.411 * * * * [progress]: [ 186 / 675 ] simplifiying candidate # 189.412 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 189.412 * * [simplify]: iters left: 6 (13 enodes) 189.419 * * [simplify]: iters left: 5 (52 enodes) 189.437 * * [simplify]: iters left: 4 (94 enodes) 189.470 * * [simplify]: iters left: 3 (187 enodes) 189.534 * * [simplify]: iters left: 2 (487 enodes) 190.001 * * [simplify]: Extracting #0: cost 1 inf + 0 190.001 * * [simplify]: Extracting #1: cost 104 inf + 0 190.004 * * [simplify]: Extracting #2: cost 297 inf + 1 190.007 * * [simplify]: Extracting #3: cost 343 inf + 4 190.010 * * [simplify]: Extracting #4: cost 353 inf + 11 190.014 * * [simplify]: Extracting #5: cost 344 inf + 1069 190.021 * * [simplify]: Extracting #6: cost 277 inf + 17668 190.056 * * [simplify]: Extracting #7: cost 102 inf + 133547 190.096 * * [simplify]: Extracting #8: cost 0 inf + 213057 190.164 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 190.165 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 190.165 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 190.165 * * [simplify]: iters left: 6 (13 enodes) 190.172 * * [simplify]: iters left: 5 (53 enodes) 190.189 * * [simplify]: iters left: 4 (90 enodes) 190.220 * * [simplify]: iters left: 3 (154 enodes) 190.277 * * [simplify]: iters left: 2 (332 enodes) 190.421 * * [simplify]: Extracting #0: cost 1 inf + 0 190.422 * * [simplify]: Extracting #1: cost 89 inf + 0 190.423 * * [simplify]: Extracting #2: cost 239 inf + 0 190.425 * * [simplify]: Extracting #3: cost 312 inf + 2 190.427 * * [simplify]: Extracting #4: cost 298 inf + 2934 190.437 * * [simplify]: Extracting #5: cost 250 inf + 12566 190.456 * * [simplify]: Extracting #6: cost 118 inf + 92747 190.495 * * [simplify]: Extracting #7: cost 4 inf + 181321 190.540 * * [simplify]: Extracting #8: cost 0 inf + 182198 190.566 * * [simplify]: Extracting #9: cost 0 inf + 182067 190.600 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 190.600 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 190.600 * * * * [progress]: [ 187 / 675 ] simplifiying candidate # 190.600 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 190.601 * * [simplify]: iters left: 6 (16 enodes) 190.609 * * [simplify]: iters left: 5 (64 enodes) 190.630 * * [simplify]: iters left: 4 (102 enodes) 190.665 * * [simplify]: iters left: 3 (195 enodes) 190.729 * * [simplify]: Extracting #0: cost 1 inf + 0 190.730 * * [simplify]: Extracting #1: cost 54 inf + 0 190.730 * * [simplify]: Extracting #2: cost 129 inf + 0 190.731 * * [simplify]: Extracting #3: cost 167 inf + 1 190.732 * * [simplify]: Extracting #4: cost 174 inf + 9 190.734 * * [simplify]: Extracting #5: cost 164 inf + 1124 190.736 * * [simplify]: Extracting #6: cost 117 inf + 8699 190.749 * * [simplify]: Extracting #7: cost 39 inf + 53907 190.770 * * [simplify]: Extracting #8: cost 1 inf + 79005 190.787 * * [simplify]: Extracting #9: cost 0 inf + 79991 190.798 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 190.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 190.798 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 190.798 * * [simplify]: iters left: 6 (15 enodes) 190.802 * * [simplify]: iters left: 5 (59 enodes) 190.814 * * [simplify]: iters left: 4 (96 enodes) 190.844 * * [simplify]: iters left: 3 (164 enodes) 190.905 * * [simplify]: iters left: 2 (347 enodes) 191.084 * * [simplify]: Extracting #0: cost 1 inf + 0 191.084 * * [simplify]: Extracting #1: cost 88 inf + 0 191.085 * * [simplify]: Extracting #2: cost 243 inf + 0 191.087 * * [simplify]: Extracting #3: cost 312 inf + 2 191.089 * * [simplify]: Extracting #4: cost 324 inf + 53 191.092 * * [simplify]: Extracting #5: cost 305 inf + 1858 191.102 * * [simplify]: Extracting #6: cost 205 inf + 39479 191.138 * * [simplify]: Extracting #7: cost 26 inf + 174185 191.178 * * [simplify]: Extracting #8: cost 0 inf + 193568 191.204 * * [simplify]: Extracting #9: cost 0 inf + 192833 191.246 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 191.247 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 191.247 * * * * [progress]: [ 188 / 675 ] simplifiying candidate # 191.247 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 191.247 * * [simplify]: iters left: 6 (13 enodes) 191.255 * * [simplify]: iters left: 5 (53 enodes) 191.273 * * [simplify]: iters left: 4 (82 enodes) 191.287 * * [simplify]: iters left: 3 (128 enodes) 191.317 * * [simplify]: iters left: 2 (258 enodes) 191.384 * * [simplify]: Extracting #0: cost 1 inf + 0 191.384 * * [simplify]: Extracting #1: cost 63 inf + 0 191.385 * * [simplify]: Extracting #2: cost 155 inf + 0 191.385 * * [simplify]: Extracting #3: cost 215 inf + 3 191.386 * * [simplify]: Extracting #4: cost 198 inf + 3686 191.393 * * [simplify]: Extracting #5: cost 126 inf + 26821 191.408 * * [simplify]: Extracting #6: cost 36 inf + 80475 191.419 * * [simplify]: Extracting #7: cost 2 inf + 104969 191.432 * * [simplify]: Extracting #8: cost 0 inf + 106630 191.446 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 191.446 * [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)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 191.446 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 191.447 * * [simplify]: iters left: 6 (13 enodes) 191.454 * * [simplify]: iters left: 5 (53 enodes) 191.471 * * [simplify]: iters left: 4 (82 enodes) 191.496 * * [simplify]: iters left: 3 (129 enodes) 191.542 * * [simplify]: iters left: 2 (245 enodes) 191.640 * * [simplify]: Extracting #0: cost 1 inf + 0 191.640 * * [simplify]: Extracting #1: cost 50 inf + 0 191.640 * * [simplify]: Extracting #2: cost 132 inf + 0 191.641 * * [simplify]: Extracting #3: cost 196 inf + 2 191.641 * * [simplify]: Extracting #4: cost 179 inf + 3064 191.644 * * [simplify]: Extracting #5: cost 129 inf + 13596 191.650 * * [simplify]: Extracting #6: cost 48 inf + 62867 191.660 * * [simplify]: Extracting #7: cost 4 inf + 98966 191.672 * * [simplify]: Extracting #8: cost 0 inf + 100782 191.691 * * [simplify]: Extracting #9: cost 0 inf + 100258 191.712 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 191.712 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 191.712 * * * * [progress]: [ 189 / 675 ] simplifiying candidate # 191.712 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 191.713 * * [simplify]: iters left: 6 (17 enodes) 191.720 * * [simplify]: iters left: 5 (66 enodes) 191.743 * * [simplify]: iters left: 4 (99 enodes) 191.772 * * [simplify]: iters left: 3 (168 enodes) 191.805 * * [simplify]: iters left: 2 (364 enodes) 191.937 * * [simplify]: Extracting #0: cost 1 inf + 0 191.938 * * [simplify]: Extracting #1: cost 85 inf + 0 191.939 * * [simplify]: Extracting #2: cost 236 inf + 0 191.941 * * [simplify]: Extracting #3: cost 310 inf + 3 191.943 * * [simplify]: Extracting #4: cost 322 inf + 11 191.946 * * [simplify]: Extracting #5: cost 297 inf + 3325 191.955 * * [simplify]: Extracting #6: cost 195 inf + 40940 191.985 * * [simplify]: Extracting #7: cost 50 inf + 140445 192.021 * * [simplify]: Extracting #8: cost 1 inf + 181808 192.043 * * [simplify]: Extracting #9: cost 0 inf + 183084 192.072 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) 192.073 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 192.073 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 192.073 * * [simplify]: iters left: 6 (16 enodes) 192.078 * * [simplify]: iters left: 5 (62 enodes) 192.089 * * [simplify]: iters left: 4 (99 enodes) 192.107 * * [simplify]: iters left: 3 (163 enodes) 192.145 * * [simplify]: iters left: 2 (341 enodes) 192.284 * * [simplify]: Extracting #0: cost 1 inf + 0 192.284 * * [simplify]: Extracting #1: cost 89 inf + 0 192.285 * * [simplify]: Extracting #2: cost 240 inf + 0 192.286 * * [simplify]: Extracting #3: cost 310 inf + 2 192.287 * * [simplify]: Extracting #4: cost 320 inf + 53 192.289 * * [simplify]: Extracting #5: cost 297 inf + 2519 192.295 * * [simplify]: Extracting #6: cost 181 inf + 57929 192.323 * * [simplify]: Extracting #7: cost 25 inf + 178724 192.376 * * [simplify]: Extracting #8: cost 0 inf + 199332 192.402 * * [simplify]: Extracting #9: cost 0 inf + 198507 192.428 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))) 192.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))))) 192.428 * * * * [progress]: [ 190 / 675 ] simplifiying candidate # 192.428 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 192.428 * * [simplify]: iters left: 6 (15 enodes) 192.435 * * [simplify]: iters left: 5 (59 enodes) 192.455 * * [simplify]: iters left: 4 (96 enodes) 192.489 * * [simplify]: iters left: 3 (160 enodes) 192.537 * * [simplify]: iters left: 2 (338 enodes) 192.659 * * [simplify]: Extracting #0: cost 1 inf + 0 192.659 * * [simplify]: Extracting #1: cost 88 inf + 0 192.660 * * [simplify]: Extracting #2: cost 239 inf + 0 192.664 * * [simplify]: Extracting #3: cost 305 inf + 3 192.665 * * [simplify]: Extracting #4: cost 316 inf + 11 192.668 * * [simplify]: Extracting #5: cost 257 inf + 16019 192.683 * * [simplify]: Extracting #6: cost 55 inf + 136585 192.704 * * [simplify]: Extracting #7: cost 0 inf + 175885 192.741 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 192.741 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 192.741 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 192.742 * * [simplify]: iters left: 6 (15 enodes) 192.748 * * [simplify]: iters left: 5 (59 enodes) 192.759 * * [simplify]: iters left: 4 (96 enodes) 192.777 * * [simplify]: iters left: 3 (164 enodes) 192.813 * * [simplify]: iters left: 2 (347 enodes) 192.980 * * [simplify]: Extracting #0: cost 1 inf + 0 192.980 * * [simplify]: Extracting #1: cost 88 inf + 0 192.981 * * [simplify]: Extracting #2: cost 243 inf + 0 192.983 * * [simplify]: Extracting #3: cost 312 inf + 2 192.990 * * [simplify]: Extracting #4: cost 324 inf + 53 192.993 * * [simplify]: Extracting #5: cost 305 inf + 1778 193.002 * * [simplify]: Extracting #6: cost 205 inf + 38759 193.040 * * [simplify]: Extracting #7: cost 26 inf + 169985 193.088 * * [simplify]: Extracting #8: cost 0 inf + 188488 193.126 * * [simplify]: Extracting #9: cost 0 inf + 187753 193.496 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 193.496 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 193.496 * * * * [progress]: [ 191 / 675 ] simplifiying candidate # 193.496 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 193.496 * * [simplify]: iters left: 6 (15 enodes) 193.502 * * [simplify]: iters left: 5 (59 enodes) 193.512 * * [simplify]: iters left: 4 (91 enodes) 193.527 * * [simplify]: iters left: 3 (150 enodes) 193.581 * * [simplify]: iters left: 2 (322 enodes) 193.758 * * [simplify]: Extracting #0: cost 1 inf + 0 193.759 * * [simplify]: Extracting #1: cost 73 inf + 0 193.760 * * [simplify]: Extracting #2: cost 166 inf + 1 193.762 * * [simplify]: Extracting #3: cost 207 inf + 4 193.763 * * [simplify]: Extracting #4: cost 219 inf + 11 193.766 * * [simplify]: Extracting #5: cost 199 inf + 2467 193.772 * * [simplify]: Extracting #6: cost 129 inf + 25728 193.793 * * [simplify]: Extracting #7: cost 40 inf + 82969 193.824 * * [simplify]: Extracting #8: cost 0 inf + 113494 193.855 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 193.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 193.856 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 193.856 * * [simplify]: iters left: 6 (14 enodes) 193.864 * * [simplify]: iters left: 5 (56 enodes) 193.882 * * [simplify]: iters left: 4 (93 enodes) 193.915 * * [simplify]: iters left: 3 (157 enodes) 193.970 * * [simplify]: iters left: 2 (335 enodes) 194.092 * * [simplify]: Extracting #0: cost 1 inf + 0 194.092 * * [simplify]: Extracting #1: cost 90 inf + 0 194.093 * * [simplify]: Extracting #2: cost 243 inf + 0 194.094 * * [simplify]: Extracting #3: cost 313 inf + 2 194.096 * * [simplify]: Extracting #4: cost 294 inf + 4753 194.104 * * [simplify]: Extracting #5: cost 204 inf + 40665 194.122 * * [simplify]: Extracting #6: cost 29 inf + 169120 194.145 * * [simplify]: Extracting #7: cost 0 inf + 190312 194.169 * * [simplify]: Extracting #8: cost 0 inf + 188105 194.208 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 194.208 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 194.208 * * * * [progress]: [ 192 / 675 ] simplifiying candidate # 194.208 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 194.208 * * [simplify]: iters left: 6 (15 enodes) 194.213 * * [simplify]: iters left: 5 (59 enodes) 194.223 * * [simplify]: iters left: 4 (96 enodes) 194.239 * * [simplify]: iters left: 3 (160 enodes) 194.286 * * [simplify]: iters left: 2 (338 enodes) 194.410 * * [simplify]: Extracting #0: cost 1 inf + 0 194.410 * * [simplify]: Extracting #1: cost 88 inf + 0 194.411 * * [simplify]: Extracting #2: cost 239 inf + 0 194.412 * * [simplify]: Extracting #3: cost 305 inf + 3 194.413 * * [simplify]: Extracting #4: cost 316 inf + 11 194.415 * * [simplify]: Extracting #5: cost 257 inf + 16019 194.429 * * [simplify]: Extracting #6: cost 55 inf + 136585 194.470 * * [simplify]: Extracting #7: cost 0 inf + 175885 194.501 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 194.501 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 194.501 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 194.501 * * [simplify]: iters left: 6 (15 enodes) 194.505 * * [simplify]: iters left: 5 (59 enodes) 194.520 * * [simplify]: iters left: 4 (96 enodes) 194.540 * * [simplify]: iters left: 3 (164 enodes) 194.580 * * [simplify]: iters left: 2 (347 enodes) 194.691 * * [simplify]: Extracting #0: cost 1 inf + 0 194.691 * * [simplify]: Extracting #1: cost 88 inf + 0 194.692 * * [simplify]: Extracting #2: cost 243 inf + 0 194.694 * * [simplify]: Extracting #3: cost 312 inf + 2 194.697 * * [simplify]: Extracting #4: cost 324 inf + 53 194.699 * * [simplify]: Extracting #5: cost 305 inf + 1778 194.708 * * [simplify]: Extracting #6: cost 205 inf + 38759 194.746 * * [simplify]: Extracting #7: cost 26 inf + 169985 194.789 * * [simplify]: Extracting #8: cost 0 inf + 188488 194.816 * * [simplify]: Extracting #9: cost 0 inf + 187753 194.863 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 194.863 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 194.863 * * * * [progress]: [ 193 / 675 ] simplifiying candidate # 194.864 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 194.864 * * [simplify]: iters left: 6 (14 enodes) 194.873 * * [simplify]: iters left: 5 (56 enodes) 194.892 * * [simplify]: iters left: 4 (88 enodes) 194.907 * * [simplify]: iters left: 3 (147 enodes) 194.951 * * [simplify]: iters left: 2 (313 enodes) 195.106 * * [simplify]: Extracting #0: cost 1 inf + 0 195.106 * * [simplify]: Extracting #1: cost 68 inf + 0 195.107 * * [simplify]: Extracting #2: cost 173 inf + 1 195.108 * * [simplify]: Extracting #3: cost 215 inf + 4 195.109 * * [simplify]: Extracting #4: cost 227 inf + 11 195.110 * * [simplify]: Extracting #5: cost 206 inf + 3302 195.113 * * [simplify]: Extracting #6: cost 145 inf + 18176 195.125 * * [simplify]: Extracting #7: cost 18 inf + 99007 195.143 * * [simplify]: Extracting #8: cost 1 inf + 112311 195.160 * * [simplify]: Extracting #9: cost 0 inf + 113176 195.195 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 195.195 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 195.195 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 195.195 * * [simplify]: iters left: 6 (14 enodes) 195.199 * * [simplify]: iters left: 5 (56 enodes) 195.209 * * [simplify]: iters left: 4 (93 enodes) 195.225 * * [simplify]: iters left: 3 (157 enodes) 195.272 * * [simplify]: iters left: 2 (335 enodes) 195.379 * * [simplify]: Extracting #0: cost 1 inf + 0 195.379 * * [simplify]: Extracting #1: cost 90 inf + 0 195.379 * * [simplify]: Extracting #2: cost 243 inf + 0 195.381 * * [simplify]: Extracting #3: cost 313 inf + 2 195.382 * * [simplify]: Extracting #4: cost 294 inf + 4753 195.387 * * [simplify]: Extracting #5: cost 204 inf + 40665 195.421 * * [simplify]: Extracting #6: cost 29 inf + 169120 195.468 * * [simplify]: Extracting #7: cost 0 inf + 190312 195.503 * * [simplify]: Extracting #8: cost 0 inf + 188105 195.535 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 195.535 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 195.535 * * * * [progress]: [ 194 / 675 ] simplifiying candidate # 195.536 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 195.536 * * [simplify]: iters left: 6 (15 enodes) 195.540 * * [simplify]: iters left: 5 (59 enodes) 195.551 * * [simplify]: iters left: 4 (96 enodes) 195.569 * * [simplify]: iters left: 3 (160 enodes) 195.607 * * [simplify]: iters left: 2 (338 enodes) 195.750 * * [simplify]: Extracting #0: cost 1 inf + 0 195.751 * * [simplify]: Extracting #1: cost 88 inf + 0 195.752 * * [simplify]: Extracting #2: cost 239 inf + 0 195.754 * * [simplify]: Extracting #3: cost 305 inf + 3 195.756 * * [simplify]: Extracting #4: cost 316 inf + 11 195.760 * * [simplify]: Extracting #5: cost 257 inf + 16019 195.776 * * [simplify]: Extracting #6: cost 55 inf + 136585 195.804 * * [simplify]: Extracting #7: cost 0 inf + 175885 195.848 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 195.848 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 195.848 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 195.849 * * [simplify]: iters left: 6 (15 enodes) 195.856 * * [simplify]: iters left: 5 (59 enodes) 195.876 * * [simplify]: iters left: 4 (96 enodes) 195.907 * * [simplify]: iters left: 3 (164 enodes) 195.958 * * [simplify]: iters left: 2 (347 enodes) 196.088 * * [simplify]: Extracting #0: cost 1 inf + 0 196.088 * * [simplify]: Extracting #1: cost 88 inf + 0 196.089 * * [simplify]: Extracting #2: cost 243 inf + 0 196.091 * * [simplify]: Extracting #3: cost 312 inf + 2 196.093 * * [simplify]: Extracting #4: cost 324 inf + 53 196.095 * * [simplify]: Extracting #5: cost 305 inf + 1778 196.100 * * [simplify]: Extracting #6: cost 205 inf + 38759 196.122 * * [simplify]: Extracting #7: cost 26 inf + 169985 196.164 * * [simplify]: Extracting #8: cost 0 inf + 188488 196.188 * * [simplify]: Extracting #9: cost 0 inf + 187753 196.220 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 196.220 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 196.220 * * * * [progress]: [ 195 / 675 ] simplifiying candidate # 196.221 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 196.221 * * [simplify]: iters left: 6 (13 enodes) 196.228 * * [simplify]: iters left: 5 (51 enodes) 196.248 * * [simplify]: iters left: 4 (84 enodes) 196.277 * * [simplify]: iters left: 3 (145 enodes) 196.316 * * [simplify]: iters left: 2 (337 enodes) 196.516 * * [simplify]: Extracting #0: cost 1 inf + 0 196.516 * * [simplify]: Extracting #1: cost 68 inf + 0 196.517 * * [simplify]: Extracting #2: cost 176 inf + 1 196.519 * * [simplify]: Extracting #3: cost 219 inf + 4 196.524 * * [simplify]: Extracting #4: cost 229 inf + 11 196.527 * * [simplify]: Extracting #5: cost 201 inf + 3806 196.530 * * [simplify]: Extracting #6: cost 120 inf + 29596 196.542 * * [simplify]: Extracting #7: cost 14 inf + 107469 196.566 * * [simplify]: Extracting #8: cost 0 inf + 116292 196.600 * * [simplify]: Extracting #9: cost 0 inf + 116121 196.634 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 196.634 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 196.635 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 196.635 * * [simplify]: iters left: 6 (14 enodes) 196.642 * * [simplify]: iters left: 5 (56 enodes) 196.664 * * [simplify]: iters left: 4 (93 enodes) 196.694 * * [simplify]: iters left: 3 (157 enodes) 196.731 * * [simplify]: iters left: 2 (335 enodes) 196.866 * * [simplify]: Extracting #0: cost 1 inf + 0 196.867 * * [simplify]: Extracting #1: cost 90 inf + 0 196.867 * * [simplify]: Extracting #2: cost 243 inf + 0 196.868 * * [simplify]: Extracting #3: cost 313 inf + 2 196.870 * * [simplify]: Extracting #4: cost 294 inf + 4753 196.875 * * [simplify]: Extracting #5: cost 204 inf + 40665 196.893 * * [simplify]: Extracting #6: cost 29 inf + 169120 196.939 * * [simplify]: Extracting #7: cost 0 inf + 190312 196.968 * * [simplify]: Extracting #8: cost 0 inf + 188105 197.005 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 197.005 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 197.005 * * * * [progress]: [ 196 / 675 ] simplifiying candidate # 197.005 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 197.006 * * [simplify]: iters left: 6 (17 enodes) 197.015 * * [simplify]: iters left: 5 (67 enodes) 197.036 * * [simplify]: iters left: 4 (105 enodes) 197.072 * * [simplify]: iters left: 3 (198 enodes) 197.138 * * [simplify]: Extracting #0: cost 1 inf + 0 197.138 * * [simplify]: Extracting #1: cost 53 inf + 0 197.139 * * [simplify]: Extracting #2: cost 127 inf + 0 197.140 * * [simplify]: Extracting #3: cost 167 inf + 1 197.141 * * [simplify]: Extracting #4: cost 176 inf + 9 197.143 * * [simplify]: Extracting #5: cost 146 inf + 4790 197.152 * * [simplify]: Extracting #6: cost 59 inf + 43284 197.172 * * [simplify]: Extracting #7: cost 1 inf + 82330 197.184 * * [simplify]: Extracting #8: cost 0 inf + 83356 197.194 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 197.194 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 197.195 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 197.195 * * [simplify]: iters left: 6 (16 enodes) 197.199 * * [simplify]: iters left: 5 (62 enodes) 197.217 * * [simplify]: iters left: 4 (99 enodes) 197.248 * * [simplify]: iters left: 3 (163 enodes) 197.293 * * [simplify]: iters left: 2 (341 enodes) 197.436 * * [simplify]: Extracting #0: cost 1 inf + 0 197.436 * * [simplify]: Extracting #1: cost 89 inf + 0 197.438 * * [simplify]: Extracting #2: cost 240 inf + 0 197.440 * * [simplify]: Extracting #3: cost 310 inf + 2 197.442 * * [simplify]: Extracting #4: cost 320 inf + 53 197.445 * * [simplify]: Extracting #5: cost 297 inf + 2399 197.456 * * [simplify]: Extracting #6: cost 181 inf + 57849 197.496 * * [simplify]: Extracting #7: cost 25 inf + 178644 197.546 * * [simplify]: Extracting #8: cost 0 inf + 199252 197.575 * * [simplify]: Extracting #9: cost 0 inf + 198427 197.618 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 197.618 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 197.618 * * * * [progress]: [ 197 / 675 ] simplifiying candidate # 197.619 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 197.619 * * [simplify]: iters left: 6 (17 enodes) 197.623 * * [simplify]: iters left: 5 (66 enodes) 197.634 * * [simplify]: iters left: 4 (99 enodes) 197.652 * * [simplify]: iters left: 3 (168 enodes) 197.702 * * [simplify]: iters left: 2 (364 enodes) 197.835 * * [simplify]: Extracting #0: cost 1 inf + 0 197.836 * * [simplify]: Extracting #1: cost 85 inf + 0 197.837 * * [simplify]: Extracting #2: cost 236 inf + 0 197.838 * * [simplify]: Extracting #3: cost 310 inf + 3 197.840 * * [simplify]: Extracting #4: cost 322 inf + 11 197.841 * * [simplify]: Extracting #5: cost 294 inf + 4101 197.846 * * [simplify]: Extracting #6: cost 190 inf + 44072 197.865 * * [simplify]: Extracting #7: cost 40 inf + 149415 197.896 * * [simplify]: Extracting #8: cost 1 inf + 181808 197.939 * * [simplify]: Extracting #9: cost 0 inf + 183084 197.974 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) 197.974 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 197.974 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 197.975 * * [simplify]: iters left: 6 (16 enodes) 197.980 * * [simplify]: iters left: 5 (62 enodes) 197.992 * * [simplify]: iters left: 4 (99 enodes) 198.011 * * [simplify]: iters left: 3 (163 enodes) 198.055 * * [simplify]: iters left: 2 (341 enodes) 198.193 * * [simplify]: Extracting #0: cost 1 inf + 0 198.193 * * [simplify]: Extracting #1: cost 89 inf + 0 198.194 * * [simplify]: Extracting #2: cost 240 inf + 0 198.195 * * [simplify]: Extracting #3: cost 310 inf + 2 198.196 * * [simplify]: Extracting #4: cost 320 inf + 53 198.198 * * [simplify]: Extracting #5: cost 297 inf + 2479 198.204 * * [simplify]: Extracting #6: cost 181 inf + 57929 198.228 * * [simplify]: Extracting #7: cost 25 inf + 178724 198.278 * * [simplify]: Extracting #8: cost 0 inf + 199332 198.331 * * [simplify]: Extracting #9: cost 0 inf + 198507 198.378 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 198.378 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 198.378 * * * * [progress]: [ 198 / 675 ] simplifiying candidate # 198.378 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 198.379 * * [simplify]: iters left: 6 (13 enodes) 198.382 * * [simplify]: iters left: 5 (53 enodes) 198.391 * * [simplify]: iters left: 4 (82 enodes) 198.404 * * [simplify]: iters left: 3 (129 enodes) 198.446 * * [simplify]: iters left: 2 (245 enodes) 198.553 * * [simplify]: Extracting #0: cost 1 inf + 0 198.554 * * [simplify]: Extracting #1: cost 50 inf + 0 198.554 * * [simplify]: Extracting #2: cost 133 inf + 0 198.556 * * [simplify]: Extracting #3: cost 195 inf + 3 198.558 * * [simplify]: Extracting #4: cost 181 inf + 2565 198.568 * * [simplify]: Extracting #5: cost 112 inf + 23044 198.583 * * [simplify]: Extracting #6: cost 13 inf + 84058 198.594 * * [simplify]: Extracting #7: cost 0 inf + 92471 198.607 * * [simplify]: Extracting #8: cost 0 inf + 92260 198.619 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 198.620 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 198.620 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 198.620 * * [simplify]: iters left: 6 (13 enodes) 198.624 * * [simplify]: iters left: 5 (53 enodes) 198.633 * * [simplify]: iters left: 4 (82 enodes) 198.646 * * [simplify]: iters left: 3 (129 enodes) 198.689 * * [simplify]: iters left: 2 (245 enodes) 198.802 * * [simplify]: Extracting #0: cost 1 inf + 0 198.802 * * [simplify]: Extracting #1: cost 50 inf + 0 198.803 * * [simplify]: Extracting #2: cost 132 inf + 0 198.804 * * [simplify]: Extracting #3: cost 196 inf + 2 198.806 * * [simplify]: Extracting #4: cost 179 inf + 3104 198.811 * * [simplify]: Extracting #5: cost 129 inf + 13676 198.821 * * [simplify]: Extracting #6: cost 48 inf + 62947 198.831 * * [simplify]: Extracting #7: cost 4 inf + 99046 198.843 * * [simplify]: Extracting #8: cost 0 inf + 100862 198.864 * * [simplify]: Extracting #9: cost 0 inf + 100338 198.883 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 198.883 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 198.884 * * * * [progress]: [ 199 / 675 ] simplifiying candidate # 198.884 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 198.884 * * [simplify]: iters left: 6 (16 enodes) 198.888 * * [simplify]: iters left: 5 (62 enodes) 198.899 * * [simplify]: iters left: 4 (95 enodes) 198.921 * * [simplify]: iters left: 3 (164 enodes) 198.988 * * [simplify]: iters left: 2 (363 enodes) 199.127 * * [simplify]: Extracting #0: cost 1 inf + 0 199.128 * * [simplify]: Extracting #1: cost 87 inf + 0 199.128 * * [simplify]: Extracting #2: cost 238 inf + 0 199.129 * * [simplify]: Extracting #3: cost 309 inf + 3 199.131 * * [simplify]: Extracting #4: cost 322 inf + 11 199.133 * * [simplify]: Extracting #5: cost 269 inf + 12467 199.152 * * [simplify]: Extracting #6: cost 78 inf + 116725 199.178 * * [simplify]: Extracting #7: cost 1 inf + 171850 199.214 * * [simplify]: Extracting #8: cost 0 inf + 172436 199.259 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 199.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 199.259 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 199.260 * * [simplify]: iters left: 6 (16 enodes) 199.268 * * [simplify]: iters left: 5 (62 enodes) 199.288 * * [simplify]: iters left: 4 (99 enodes) 199.312 * * [simplify]: iters left: 3 (163 enodes) 199.348 * * [simplify]: iters left: 2 (341 enodes) 199.492 * * [simplify]: Extracting #0: cost 1 inf + 0 199.492 * * [simplify]: Extracting #1: cost 89 inf + 0 199.494 * * [simplify]: Extracting #2: cost 240 inf + 0 199.496 * * [simplify]: Extracting #3: cost 310 inf + 2 199.498 * * [simplify]: Extracting #4: cost 320 inf + 53 199.501 * * [simplify]: Extracting #5: cost 297 inf + 2359 199.513 * * [simplify]: Extracting #6: cost 181 inf + 56449 199.552 * * [simplify]: Extracting #7: cost 25 inf + 174204 199.595 * * [simplify]: Extracting #8: cost 0 inf + 194172 199.621 * * [simplify]: Extracting #9: cost 0 inf + 193347 199.659 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 199.660 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 199.660 * * * * [progress]: [ 200 / 675 ] simplifiying candidate # 199.660 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 199.660 * * [simplify]: iters left: 6 (15 enodes) 199.672 * * [simplify]: iters left: 5 (59 enodes) 199.691 * * [simplify]: iters left: 4 (91 enodes) 199.709 * * [simplify]: iters left: 3 (150 enodes) 199.753 * * [simplify]: iters left: 2 (322 enodes) 199.897 * * [simplify]: Extracting #0: cost 1 inf + 0 199.897 * * [simplify]: Extracting #1: cost 73 inf + 0 199.898 * * [simplify]: Extracting #2: cost 165 inf + 1 199.899 * * [simplify]: Extracting #3: cost 206 inf + 4 199.901 * * [simplify]: Extracting #4: cost 219 inf + 11 199.904 * * [simplify]: Extracting #5: cost 193 inf + 4059 199.915 * * [simplify]: Extracting #6: cost 97 inf + 49060 199.940 * * [simplify]: Extracting #7: cost 23 inf + 98550 199.974 * * [simplify]: Extracting #8: cost 0 inf + 113412 200.006 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 200.006 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 200.007 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 200.007 * * [simplify]: iters left: 6 (15 enodes) 200.015 * * [simplify]: iters left: 5 (59 enodes) 200.026 * * [simplify]: iters left: 4 (96 enodes) 200.042 * * [simplify]: iters left: 3 (164 enodes) 200.082 * * [simplify]: iters left: 2 (347 enodes) 200.172 * * [simplify]: Extracting #0: cost 1 inf + 0 200.173 * * [simplify]: Extracting #1: cost 88 inf + 0 200.173 * * [simplify]: Extracting #2: cost 243 inf + 0 200.174 * * [simplify]: Extracting #3: cost 313 inf + 2 200.175 * * [simplify]: Extracting #4: cost 306 inf + 1530 200.180 * * [simplify]: Extracting #5: cost 216 inf + 37721 200.199 * * [simplify]: Extracting #6: cost 26 inf + 168497 200.229 * * [simplify]: Extracting #7: cost 0 inf + 185806 200.269 * * [simplify]: Extracting #8: cost 0 inf + 185031 200.295 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 200.295 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 200.295 * * * * [progress]: [ 201 / 675 ] simplifiying candidate # 200.296 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 200.296 * * [simplify]: iters left: 6 (16 enodes) 200.304 * * [simplify]: iters left: 5 (62 enodes) 200.323 * * [simplify]: iters left: 4 (95 enodes) 200.356 * * [simplify]: iters left: 3 (164 enodes) 200.398 * * [simplify]: iters left: 2 (363 enodes) 200.578 * * [simplify]: Extracting #0: cost 1 inf + 0 200.579 * * [simplify]: Extracting #1: cost 87 inf + 0 200.580 * * [simplify]: Extracting #2: cost 238 inf + 0 200.582 * * [simplify]: Extracting #3: cost 309 inf + 3 200.584 * * [simplify]: Extracting #4: cost 322 inf + 11 200.594 * * [simplify]: Extracting #5: cost 269 inf + 12467 200.612 * * [simplify]: Extracting #6: cost 78 inf + 116725 200.636 * * [simplify]: Extracting #7: cost 1 inf + 171850 200.673 * * [simplify]: Extracting #8: cost 0 inf + 172436 200.701 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 200.701 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 200.702 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 200.702 * * [simplify]: iters left: 6 (16 enodes) 200.710 * * [simplify]: iters left: 5 (62 enodes) 200.730 * * [simplify]: iters left: 4 (99 enodes) 200.752 * * [simplify]: iters left: 3 (163 enodes) 200.790 * * [simplify]: iters left: 2 (341 enodes) 200.964 * * [simplify]: Extracting #0: cost 1 inf + 0 200.965 * * [simplify]: Extracting #1: cost 89 inf + 0 200.965 * * [simplify]: Extracting #2: cost 240 inf + 0 200.966 * * [simplify]: Extracting #3: cost 310 inf + 2 200.967 * * [simplify]: Extracting #4: cost 320 inf + 53 200.969 * * [simplify]: Extracting #5: cost 297 inf + 2359 200.975 * * [simplify]: Extracting #6: cost 181 inf + 56449 200.994 * * [simplify]: Extracting #7: cost 25 inf + 174204 201.032 * * [simplify]: Extracting #8: cost 0 inf + 194172 201.084 * * [simplify]: Extracting #9: cost 0 inf + 193347 201.110 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 201.110 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 201.110 * * * * [progress]: [ 202 / 675 ] simplifiying candidate # 201.110 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 201.110 * * [simplify]: iters left: 6 (14 enodes) 201.116 * * [simplify]: iters left: 5 (56 enodes) 201.132 * * [simplify]: iters left: 4 (88 enodes) 201.147 * * [simplify]: iters left: 3 (147 enodes) 201.185 * * [simplify]: iters left: 2 (313 enodes) 201.345 * * [simplify]: Extracting #0: cost 1 inf + 0 201.345 * * [simplify]: Extracting #1: cost 68 inf + 0 201.346 * * [simplify]: Extracting #2: cost 172 inf + 1 201.347 * * [simplify]: Extracting #3: cost 214 inf + 4 201.347 * * [simplify]: Extracting #4: cost 227 inf + 11 201.349 * * [simplify]: Extracting #5: cost 205 inf + 3465 201.352 * * [simplify]: Extracting #6: cost 146 inf + 17682 201.362 * * [simplify]: Extracting #7: cost 18 inf + 99007 201.388 * * [simplify]: Extracting #8: cost 1 inf + 112311 201.409 * * [simplify]: Extracting #9: cost 0 inf + 113176 201.428 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 201.428 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 201.428 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 201.428 * * [simplify]: iters left: 6 (15 enodes) 201.434 * * [simplify]: iters left: 5 (59 enodes) 201.454 * * [simplify]: iters left: 4 (96 enodes) 201.485 * * [simplify]: iters left: 3 (164 enodes) 201.526 * * [simplify]: iters left: 2 (347 enodes) 201.650 * * [simplify]: Extracting #0: cost 1 inf + 0 201.650 * * [simplify]: Extracting #1: cost 88 inf + 0 201.651 * * [simplify]: Extracting #2: cost 243 inf + 0 201.652 * * [simplify]: Extracting #3: cost 313 inf + 2 201.653 * * [simplify]: Extracting #4: cost 306 inf + 1530 201.658 * * [simplify]: Extracting #5: cost 216 inf + 37721 201.694 * * [simplify]: Extracting #6: cost 26 inf + 168497 201.718 * * [simplify]: Extracting #7: cost 0 inf + 185806 201.766 * * [simplify]: Extracting #8: cost 0 inf + 185031 201.814 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 201.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 201.815 * * * * [progress]: [ 203 / 675 ] simplifiying candidate # 201.815 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 201.815 * * [simplify]: iters left: 6 (16 enodes) 201.824 * * [simplify]: iters left: 5 (62 enodes) 201.835 * * [simplify]: iters left: 4 (95 enodes) 201.852 * * [simplify]: iters left: 3 (164 enodes) 201.893 * * [simplify]: iters left: 2 (363 enodes) 202.039 * * [simplify]: Extracting #0: cost 1 inf + 0 202.040 * * [simplify]: Extracting #1: cost 87 inf + 0 202.041 * * [simplify]: Extracting #2: cost 238 inf + 0 202.043 * * [simplify]: Extracting #3: cost 309 inf + 3 202.046 * * [simplify]: Extracting #4: cost 322 inf + 11 202.050 * * [simplify]: Extracting #5: cost 269 inf + 12467 202.070 * * [simplify]: Extracting #6: cost 78 inf + 116725 202.093 * * [simplify]: Extracting #7: cost 1 inf + 171850 202.126 * * [simplify]: Extracting #8: cost 0 inf + 172436 202.165 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 202.165 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 202.166 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 202.166 * * [simplify]: iters left: 6 (16 enodes) 202.170 * * [simplify]: iters left: 5 (62 enodes) 202.182 * * [simplify]: iters left: 4 (99 enodes) 202.198 * * [simplify]: iters left: 3 (163 enodes) 202.246 * * [simplify]: iters left: 2 (341 enodes) 202.390 * * [simplify]: Extracting #0: cost 1 inf + 0 202.391 * * [simplify]: Extracting #1: cost 89 inf + 0 202.391 * * [simplify]: Extracting #2: cost 240 inf + 0 202.392 * * [simplify]: Extracting #3: cost 310 inf + 2 202.393 * * [simplify]: Extracting #4: cost 320 inf + 53 202.395 * * [simplify]: Extracting #5: cost 297 inf + 2359 202.401 * * [simplify]: Extracting #6: cost 181 inf + 56449 202.430 * * [simplify]: Extracting #7: cost 25 inf + 174204 202.461 * * [simplify]: Extracting #8: cost 0 inf + 194172 202.489 * * [simplify]: Extracting #9: cost 0 inf + 193347 202.514 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 202.515 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 202.515 * * * * [progress]: [ 204 / 675 ] simplifiying candidate # 202.515 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 202.515 * * [simplify]: iters left: 6 (13 enodes) 202.519 * * [simplify]: iters left: 5 (51 enodes) 202.528 * * [simplify]: iters left: 4 (84 enodes) 202.548 * * [simplify]: iters left: 3 (145 enodes) 202.610 * * [simplify]: iters left: 2 (337 enodes) 202.798 * * [simplify]: Extracting #0: cost 1 inf + 0 202.798 * * [simplify]: Extracting #1: cost 68 inf + 0 202.799 * * [simplify]: Extracting #2: cost 175 inf + 1 202.800 * * [simplify]: Extracting #3: cost 218 inf + 4 202.801 * * [simplify]: Extracting #4: cost 229 inf + 11 202.802 * * [simplify]: Extracting #5: cost 200 inf + 4007 202.806 * * [simplify]: Extracting #6: cost 119 inf + 29757 202.818 * * [simplify]: Extracting #7: cost 14 inf + 107469 202.852 * * [simplify]: Extracting #8: cost 0 inf + 116292 202.887 * * [simplify]: Extracting #9: cost 0 inf + 116121 202.915 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 202.915 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 202.916 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 202.916 * * [simplify]: iters left: 6 (15 enodes) 202.920 * * [simplify]: iters left: 5 (59 enodes) 202.930 * * [simplify]: iters left: 4 (96 enodes) 202.952 * * [simplify]: iters left: 3 (164 enodes) 202.988 * * [simplify]: iters left: 2 (347 enodes) 203.108 * * [simplify]: Extracting #0: cost 1 inf + 0 203.108 * * [simplify]: Extracting #1: cost 88 inf + 0 203.109 * * [simplify]: Extracting #2: cost 243 inf + 0 203.110 * * [simplify]: Extracting #3: cost 313 inf + 2 203.111 * * [simplify]: Extracting #4: cost 306 inf + 1530 203.115 * * [simplify]: Extracting #5: cost 216 inf + 37721 203.138 * * [simplify]: Extracting #6: cost 26 inf + 168497 203.161 * * [simplify]: Extracting #7: cost 0 inf + 185806 203.184 * * [simplify]: Extracting #8: cost 0 inf + 185031 203.221 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 203.221 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 203.221 * * * * [progress]: [ 205 / 675 ] simplifiying candidate # 203.222 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 203.222 * * [simplify]: iters left: 6 (14 enodes) 203.228 * * [simplify]: iters left: 5 (57 enodes) 203.241 * * [simplify]: iters left: 4 (99 enodes) 203.257 * * [simplify]: iters left: 3 (187 enodes) 203.307 * * [simplify]: iters left: 2 (499 enodes) 203.642 * * [simplify]: Extracting #0: cost 1 inf + 0 203.643 * * [simplify]: Extracting #1: cost 165 inf + 0 203.646 * * [simplify]: Extracting #2: cost 498 inf + 0 203.650 * * [simplify]: Extracting #3: cost 566 inf + 3 203.655 * * [simplify]: Extracting #4: cost 577 inf + 11 203.662 * * [simplify]: Extracting #5: cost 522 inf + 11987 203.702 * * [simplify]: Extracting #6: cost 253 inf + 178482 203.789 * * [simplify]: Extracting #7: cost 9 inf + 359195 203.841 * * [simplify]: Extracting #8: cost 0 inf + 358492 203.906 * * [simplify]: Extracting #9: cost 0 inf + 358230 203.990 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 203.990 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 203.991 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 203.991 * * [simplify]: iters left: 6 (14 enodes) 203.998 * * [simplify]: iters left: 5 (56 enodes) 204.009 * * [simplify]: iters left: 4 (93 enodes) 204.024 * * [simplify]: iters left: 3 (157 enodes) 204.074 * * [simplify]: iters left: 2 (335 enodes) 204.250 * * [simplify]: Extracting #0: cost 1 inf + 0 204.251 * * [simplify]: Extracting #1: cost 90 inf + 0 204.252 * * [simplify]: Extracting #2: cost 242 inf + 0 204.254 * * [simplify]: Extracting #3: cost 311 inf + 2 204.256 * * [simplify]: Extracting #4: cost 320 inf + 53 204.259 * * [simplify]: Extracting #5: cost 297 inf + 2836 204.266 * * [simplify]: Extracting #6: cost 229 inf + 21442 204.298 * * [simplify]: Extracting #7: cost 51 inf + 152140 204.350 * * [simplify]: Extracting #8: cost 1 inf + 194182 204.399 * * [simplify]: Extracting #9: cost 0 inf + 193127 204.425 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 204.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 204.425 * * * * [progress]: [ 206 / 675 ] simplifiying candidate # 204.425 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 204.426 * * [simplify]: iters left: 6 (15 enodes) 204.430 * * [simplify]: iters left: 5 (59 enodes) 204.442 * * [simplify]: iters left: 4 (96 enodes) 204.474 * * [simplify]: iters left: 3 (160 enodes) 204.532 * * [simplify]: iters left: 2 (338 enodes) 204.682 * * [simplify]: Extracting #0: cost 1 inf + 0 204.682 * * [simplify]: Extracting #1: cost 88 inf + 0 204.683 * * [simplify]: Extracting #2: cost 238 inf + 0 204.684 * * [simplify]: Extracting #3: cost 304 inf + 3 204.685 * * [simplify]: Extracting #4: cost 315 inf + 11 204.689 * * [simplify]: Extracting #5: cost 271 inf + 6982 204.707 * * [simplify]: Extracting #6: cost 142 inf + 78584 204.726 * * [simplify]: Extracting #7: cost 14 inf + 168344 204.765 * * [simplify]: Extracting #8: cost 0 inf + 176126 204.809 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 204.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 204.809 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 204.810 * * [simplify]: iters left: 6 (15 enodes) 204.818 * * [simplify]: iters left: 5 (59 enodes) 204.833 * * [simplify]: iters left: 4 (96 enodes) 204.851 * * [simplify]: iters left: 3 (164 enodes) 204.889 * * [simplify]: iters left: 2 (347 enodes) 205.044 * * [simplify]: Extracting #0: cost 1 inf + 0 205.044 * * [simplify]: Extracting #1: cost 88 inf + 0 205.045 * * [simplify]: Extracting #2: cost 243 inf + 0 205.049 * * [simplify]: Extracting #3: cost 312 inf + 2 205.050 * * [simplify]: Extracting #4: cost 324 inf + 53 205.052 * * [simplify]: Extracting #5: cost 305 inf + 1778 205.056 * * [simplify]: Extracting #6: cost 205 inf + 38599 205.077 * * [simplify]: Extracting #7: cost 26 inf + 169625 205.104 * * [simplify]: Extracting #8: cost 0 inf + 188488 205.153 * * [simplify]: Extracting #9: cost 0 inf + 187753 205.203 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 205.203 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 205.203 * * * * [progress]: [ 207 / 675 ] simplifiying candidate # 205.203 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 205.204 * * [simplify]: iters left: 6 (16 enodes) 205.212 * * [simplify]: iters left: 5 (62 enodes) 205.228 * * [simplify]: iters left: 4 (95 enodes) 205.244 * * [simplify]: iters left: 3 (164 enodes) 205.288 * * [simplify]: iters left: 2 (363 enodes) 205.429 * * [simplify]: Extracting #0: cost 1 inf + 0 205.430 * * [simplify]: Extracting #1: cost 87 inf + 0 205.430 * * [simplify]: Extracting #2: cost 238 inf + 0 205.432 * * [simplify]: Extracting #3: cost 309 inf + 3 205.433 * * [simplify]: Extracting #4: cost 322 inf + 11 205.436 * * [simplify]: Extracting #5: cost 259 inf + 16715 205.460 * * [simplify]: Extracting #6: cost 69 inf + 113716 205.514 * * [simplify]: Extracting #7: cost 0 inf + 158667 205.561 * * [simplify]: Extracting #8: cost 0 inf + 156367 205.586 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 205.586 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 205.586 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 205.586 * * [simplify]: iters left: 6 (16 enodes) 205.591 * * [simplify]: iters left: 5 (62 enodes) 205.611 * * [simplify]: iters left: 4 (99 enodes) 205.632 * * [simplify]: iters left: 3 (163 enodes) 205.672 * * [simplify]: iters left: 2 (341 enodes) 205.807 * * [simplify]: Extracting #0: cost 1 inf + 0 205.807 * * [simplify]: Extracting #1: cost 89 inf + 0 205.808 * * [simplify]: Extracting #2: cost 240 inf + 0 205.809 * * [simplify]: Extracting #3: cost 310 inf + 2 205.810 * * [simplify]: Extracting #4: cost 320 inf + 53 205.811 * * [simplify]: Extracting #5: cost 297 inf + 2399 205.821 * * [simplify]: Extracting #6: cost 181 inf + 56609 205.841 * * [simplify]: Extracting #7: cost 25 inf + 174324 205.865 * * [simplify]: Extracting #8: cost 0 inf + 194132 205.891 * * [simplify]: Extracting #9: cost 0 inf + 193307 205.941 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 205.941 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 205.942 * * * * [progress]: [ 208 / 675 ] simplifiying candidate # 205.942 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 205.942 * * [simplify]: iters left: 6 (12 enodes) 205.949 * * [simplify]: iters left: 5 (49 enodes) 205.961 * * [simplify]: iters left: 4 (78 enodes) 205.975 * * [simplify]: iters left: 3 (129 enodes) 206.005 * * [simplify]: iters left: 2 (250 enodes) 206.081 * * [simplify]: Extracting #0: cost 1 inf + 0 206.081 * * [simplify]: Extracting #1: cost 50 inf + 0 206.082 * * [simplify]: Extracting #2: cost 133 inf + 0 206.083 * * [simplify]: Extracting #3: cost 193 inf + 3 206.085 * * [simplify]: Extracting #4: cost 169 inf + 5895 206.096 * * [simplify]: Extracting #5: cost 64 inf + 51254 206.120 * * [simplify]: Extracting #6: cost 1 inf + 82300 206.144 * * [simplify]: Extracting #7: cost 0 inf + 81099 206.162 * * [simplify]: Extracting #8: cost 0 inf + 80557 206.174 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 206.174 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 206.174 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 206.174 * * [simplify]: iters left: 6 (13 enodes) 206.178 * * [simplify]: iters left: 5 (53 enodes) 206.193 * * [simplify]: iters left: 4 (82 enodes) 206.219 * * [simplify]: iters left: 3 (129 enodes) 206.242 * * [simplify]: iters left: 2 (245 enodes) 206.349 * * [simplify]: Extracting #0: cost 1 inf + 0 206.349 * * [simplify]: Extracting #1: cost 50 inf + 0 206.350 * * [simplify]: Extracting #2: cost 132 inf + 0 206.351 * * [simplify]: Extracting #3: cost 196 inf + 2 206.353 * * [simplify]: Extracting #4: cost 179 inf + 2904 206.358 * * [simplify]: Extracting #5: cost 129 inf + 13116 206.371 * * [simplify]: Extracting #6: cost 48 inf + 60547 206.396 * * [simplify]: Extracting #7: cost 4 inf + 95366 206.415 * * [simplify]: Extracting #8: cost 0 inf + 97062 206.427 * * [simplify]: Extracting #9: cost 0 inf + 96538 206.439 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 206.439 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 206.439 * * * * [progress]: [ 209 / 675 ] simplifiying candidate # 206.439 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 206.440 * * [simplify]: iters left: 6 (14 enodes) 206.445 * * [simplify]: iters left: 5 (55 enodes) 206.455 * * [simplify]: iters left: 4 (87 enodes) 206.479 * * [simplify]: iters left: 3 (146 enodes) 206.541 * * [simplify]: iters left: 2 (316 enodes) 206.691 * * [simplify]: Extracting #0: cost 1 inf + 0 206.691 * * [simplify]: Extracting #1: cost 71 inf + 0 206.692 * * [simplify]: Extracting #2: cost 156 inf + 1 206.693 * * [simplify]: Extracting #3: cost 198 inf + 4 206.695 * * [simplify]: Extracting #4: cost 210 inf + 11 206.698 * * [simplify]: Extracting #5: cost 178 inf + 4809 206.715 * * [simplify]: Extracting #6: cost 52 inf + 56583 206.749 * * [simplify]: Extracting #7: cost 1 inf + 83761 206.769 * * [simplify]: Extracting #8: cost 0 inf + 83978 206.800 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 206.800 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 206.800 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 206.800 * * [simplify]: iters left: 6 (13 enodes) 206.804 * * [simplify]: iters left: 5 (53 enodes) 206.813 * * [simplify]: iters left: 4 (90 enodes) 206.830 * * [simplify]: iters left: 3 (154 enodes) 206.862 * * [simplify]: iters left: 2 (332 enodes) 206.988 * * [simplify]: Extracting #0: cost 1 inf + 0 206.989 * * [simplify]: Extracting #1: cost 89 inf + 0 206.989 * * [simplify]: Extracting #2: cost 239 inf + 0 206.990 * * [simplify]: Extracting #3: cost 312 inf + 2 206.991 * * [simplify]: Extracting #4: cost 298 inf + 2814 206.994 * * [simplify]: Extracting #5: cost 250 inf + 12246 207.013 * * [simplify]: Extracting #6: cost 118 inf + 90187 207.052 * * [simplify]: Extracting #7: cost 4 inf + 176281 207.097 * * [simplify]: Extracting #8: cost 0 inf + 177118 207.145 * * [simplify]: Extracting #9: cost 0 inf + 176987 207.174 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 207.174 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 207.174 * * * * [progress]: [ 210 / 675 ] simplifiying candidate # 207.175 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 207.175 * * [simplify]: iters left: 6 (12 enodes) 207.178 * * [simplify]: iters left: 5 (49 enodes) 207.188 * * [simplify]: iters left: 4 (78 enodes) 207.212 * * [simplify]: iters left: 3 (129 enodes) 207.260 * * [simplify]: iters left: 2 (250 enodes) 207.332 * * [simplify]: Extracting #0: cost 1 inf + 0 207.332 * * [simplify]: Extracting #1: cost 50 inf + 0 207.333 * * [simplify]: Extracting #2: cost 133 inf + 0 207.334 * * [simplify]: Extracting #3: cost 193 inf + 3 207.336 * * [simplify]: Extracting #4: cost 169 inf + 5895 207.350 * * [simplify]: Extracting #5: cost 64 inf + 51254 207.361 * * [simplify]: Extracting #6: cost 1 inf + 82300 207.373 * * [simplify]: Extracting #7: cost 0 inf + 81099 207.384 * * [simplify]: Extracting #8: cost 0 inf + 80557 207.396 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 207.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 207.396 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 207.396 * * [simplify]: iters left: 6 (13 enodes) 207.400 * * [simplify]: iters left: 5 (53 enodes) 207.409 * * [simplify]: iters left: 4 (82 enodes) 207.422 * * [simplify]: iters left: 3 (129 enodes) 207.457 * * [simplify]: iters left: 2 (245 enodes) 207.567 * * [simplify]: Extracting #0: cost 1 inf + 0 207.567 * * [simplify]: Extracting #1: cost 50 inf + 0 207.568 * * [simplify]: Extracting #2: cost 132 inf + 0 207.569 * * [simplify]: Extracting #3: cost 196 inf + 2 207.571 * * [simplify]: Extracting #4: cost 179 inf + 2904 207.575 * * [simplify]: Extracting #5: cost 129 inf + 13116 207.588 * * [simplify]: Extracting #6: cost 48 inf + 60547 207.609 * * [simplify]: Extracting #7: cost 4 inf + 95366 207.634 * * [simplify]: Extracting #8: cost 0 inf + 97062 207.654 * * [simplify]: Extracting #9: cost 0 inf + 96538 207.666 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 207.666 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 207.666 * * * * [progress]: [ 211 / 675 ] simplifiying candidate # 207.666 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 207.666 * * [simplify]: iters left: 6 (13 enodes) 207.671 * * [simplify]: iters left: 5 (52 enodes) 207.681 * * [simplify]: iters left: 4 (84 enodes) 207.707 * * [simplify]: iters left: 3 (141 enodes) 207.762 * * [simplify]: iters left: 2 (308 enodes) 207.931 * * [simplify]: Extracting #0: cost 1 inf + 0 207.931 * * [simplify]: Extracting #1: cost 70 inf + 0 207.932 * * [simplify]: Extracting #2: cost 182 inf + 1 207.933 * * [simplify]: Extracting #3: cost 223 inf + 4 207.934 * * [simplify]: Extracting #4: cost 235 inf + 11 207.935 * * [simplify]: Extracting #5: cost 196 inf + 6312 207.944 * * [simplify]: Extracting #6: cost 56 inf + 71698 207.963 * * [simplify]: Extracting #7: cost 1 inf + 102854 207.994 * * [simplify]: Extracting #8: cost 0 inf + 101598 208.014 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 208.014 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 208.014 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 208.014 * * [simplify]: iters left: 6 (13 enodes) 208.018 * * [simplify]: iters left: 5 (53 enodes) 208.032 * * [simplify]: iters left: 4 (90 enodes) 208.046 * * [simplify]: iters left: 3 (154 enodes) 208.090 * * [simplify]: iters left: 2 (332 enodes) 208.236 * * [simplify]: Extracting #0: cost 1 inf + 0 208.236 * * [simplify]: Extracting #1: cost 89 inf + 0 208.237 * * [simplify]: Extracting #2: cost 239 inf + 0 208.238 * * [simplify]: Extracting #3: cost 312 inf + 2 208.239 * * [simplify]: Extracting #4: cost 298 inf + 2814 208.242 * * [simplify]: Extracting #5: cost 250 inf + 12246 208.251 * * [simplify]: Extracting #6: cost 118 inf + 90187 208.282 * * [simplify]: Extracting #7: cost 4 inf + 176281 208.308 * * [simplify]: Extracting #8: cost 0 inf + 177118 208.343 * * [simplify]: Extracting #9: cost 0 inf + 176987 208.369 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 208.369 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 208.370 * * * * [progress]: [ 212 / 675 ] simplifiying candidate # 208.370 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 208.370 * * [simplify]: iters left: 6 (12 enodes) 208.377 * * [simplify]: iters left: 5 (49 enodes) 208.394 * * [simplify]: iters left: 4 (78 enodes) 208.414 * * [simplify]: iters left: 3 (129 enodes) 208.443 * * [simplify]: iters left: 2 (250 enodes) 208.518 * * [simplify]: Extracting #0: cost 1 inf + 0 208.518 * * [simplify]: Extracting #1: cost 50 inf + 0 208.519 * * [simplify]: Extracting #2: cost 133 inf + 0 208.520 * * [simplify]: Extracting #3: cost 193 inf + 3 208.522 * * [simplify]: Extracting #4: cost 169 inf + 5895 208.532 * * [simplify]: Extracting #5: cost 64 inf + 51254 208.543 * * [simplify]: Extracting #6: cost 1 inf + 82300 208.554 * * [simplify]: Extracting #7: cost 0 inf + 81099 208.570 * * [simplify]: Extracting #8: cost 0 inf + 80557 208.593 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 208.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 208.594 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 208.594 * * [simplify]: iters left: 6 (13 enodes) 208.600 * * [simplify]: iters left: 5 (53 enodes) 208.608 * * [simplify]: iters left: 4 (82 enodes) 208.623 * * [simplify]: iters left: 3 (129 enodes) 208.660 * * [simplify]: iters left: 2 (245 enodes) 208.739 * * [simplify]: Extracting #0: cost 1 inf + 0 208.739 * * [simplify]: Extracting #1: cost 50 inf + 0 208.740 * * [simplify]: Extracting #2: cost 132 inf + 0 208.741 * * [simplify]: Extracting #3: cost 196 inf + 2 208.743 * * [simplify]: Extracting #4: cost 179 inf + 2904 208.747 * * [simplify]: Extracting #5: cost 129 inf + 13116 208.759 * * [simplify]: Extracting #6: cost 48 inf + 60547 208.774 * * [simplify]: Extracting #7: cost 4 inf + 95366 208.786 * * [simplify]: Extracting #8: cost 0 inf + 97062 208.798 * * [simplify]: Extracting #9: cost 0 inf + 96538 208.822 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 208.823 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 208.823 * * * * [progress]: [ 213 / 675 ] simplifiying candidate # 208.823 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 1) 208.823 * * [simplify]: iters left: 6 (12 enodes) 208.830 * * [simplify]: iters left: 5 (47 enodes) 208.850 * * [simplify]: iters left: 4 (80 enodes) 208.873 * * [simplify]: iters left: 3 (145 enodes) 208.904 * * [simplify]: iters left: 2 (337 enodes) 209.133 * * [simplify]: Extracting #0: cost 1 inf + 0 209.133 * * [simplify]: Extracting #1: cost 69 inf + 0 209.134 * * [simplify]: Extracting #2: cost 185 inf + 1 209.135 * * [simplify]: Extracting #3: cost 227 inf + 4 209.136 * * [simplify]: Extracting #4: cost 238 inf + 11 209.140 * * [simplify]: Extracting #5: cost 205 inf + 4926 209.145 * * [simplify]: Extracting #6: cost 120 inf + 40294 209.172 * * [simplify]: Extracting #7: cost 38 inf + 95276 209.190 * * [simplify]: Extracting #8: cost 0 inf + 119183 209.208 * * [simplify]: Extracting #9: cost 0 inf + 117713 209.242 * * [simplify]: Extracting #10: cost 0 inf + 117451 209.278 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 209.279 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 209.279 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 209.279 * * [simplify]: iters left: 6 (13 enodes) 209.286 * * [simplify]: iters left: 5 (53 enodes) 209.305 * * [simplify]: iters left: 4 (90 enodes) 209.325 * * [simplify]: iters left: 3 (154 enodes) 209.365 * * [simplify]: iters left: 2 (332 enodes) 209.498 * * [simplify]: Extracting #0: cost 1 inf + 0 209.499 * * [simplify]: Extracting #1: cost 89 inf + 0 209.500 * * [simplify]: Extracting #2: cost 239 inf + 0 209.502 * * [simplify]: Extracting #3: cost 312 inf + 2 209.504 * * [simplify]: Extracting #4: cost 298 inf + 2814 209.510 * * [simplify]: Extracting #5: cost 250 inf + 12246 209.529 * * [simplify]: Extracting #6: cost 118 inf + 90187 209.569 * * [simplify]: Extracting #7: cost 4 inf + 176281 209.617 * * [simplify]: Extracting #8: cost 0 inf + 177118 209.643 * * [simplify]: Extracting #9: cost 0 inf + 176987 209.688 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 209.689 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 209.689 * * * * [progress]: [ 214 / 675 ] simplifiying candidate # 209.689 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 209.689 * * [simplify]: iters left: 6 (15 enodes) 209.699 * * [simplify]: iters left: 5 (60 enodes) 209.710 * * [simplify]: iters left: 4 (92 enodes) 209.725 * * [simplify]: iters left: 3 (154 enodes) 209.790 * * [simplify]: iters left: 2 (357 enodes) 210.011 * * [simplify]: Extracting #0: cost 1 inf + 0 210.011 * * [simplify]: Extracting #1: cost 89 inf + 0 210.012 * * [simplify]: Extracting #2: cost 232 inf + 1 210.013 * * [simplify]: Extracting #3: cost 274 inf + 4 210.015 * * [simplify]: Extracting #4: cost 286 inf + 11 210.016 * * [simplify]: Extracting #5: cost 262 inf + 2877 210.023 * * [simplify]: Extracting #6: cost 201 inf + 18669 210.044 * * [simplify]: Extracting #7: cost 34 inf + 138199 210.067 * * [simplify]: Extracting #8: cost 0 inf + 157598 210.110 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 210.110 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 210.110 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 210.110 * * [simplify]: iters left: 6 (13 enodes) 210.118 * * [simplify]: iters left: 5 (53 enodes) 210.136 * * [simplify]: iters left: 4 (90 enodes) 210.168 * * [simplify]: iters left: 3 (154 enodes) 210.213 * * [simplify]: iters left: 2 (332 enodes) 210.335 * * [simplify]: Extracting #0: cost 1 inf + 0 210.335 * * [simplify]: Extracting #1: cost 89 inf + 0 210.337 * * [simplify]: Extracting #2: cost 240 inf + 0 210.339 * * [simplify]: Extracting #3: cost 313 inf + 2 210.342 * * [simplify]: Extracting #4: cost 300 inf + 2125 210.352 * * [simplify]: Extracting #5: cost 243 inf + 15252 210.382 * * [simplify]: Extracting #6: cost 46 inf + 154248 210.404 * * [simplify]: Extracting #7: cost 1 inf + 184886 210.442 * * [simplify]: Extracting #8: cost 0 inf + 183035 210.465 * * [simplify]: Extracting #9: cost 0 inf + 182773 210.488 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 210.488 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 210.488 * * * * [progress]: [ 215 / 675 ] simplifiying candidate # 210.489 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 210.489 * * [simplify]: iters left: 6 (15 enodes) 210.499 * * [simplify]: iters left: 5 (59 enodes) 210.519 * * [simplify]: iters left: 4 (87 enodes) 210.546 * * [simplify]: iters left: 3 (141 enodes) 210.584 * * [simplify]: iters left: 2 (287 enodes) 210.673 * * [simplify]: Extracting #0: cost 1 inf + 0 210.673 * * [simplify]: Extracting #1: cost 62 inf + 0 210.673 * * [simplify]: Extracting #2: cost 148 inf + 1 210.674 * * [simplify]: Extracting #3: cost 190 inf + 4 210.675 * * [simplify]: Extracting #4: cost 202 inf + 11 210.676 * * [simplify]: Extracting #5: cost 179 inf + 3721 210.680 * * [simplify]: Extracting #6: cost 86 inf + 35384 210.694 * * [simplify]: Extracting #7: cost 3 inf + 93232 210.713 * * [simplify]: Extracting #8: cost 0 inf + 94906 210.726 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 210.726 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 210.726 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 210.726 * * [simplify]: iters left: 6 (14 enodes) 210.730 * * [simplify]: iters left: 5 (56 enodes) 210.749 * * [simplify]: iters left: 4 (93 enodes) 210.780 * * [simplify]: iters left: 3 (157 enodes) 210.839 * * [simplify]: iters left: 2 (335 enodes) 210.968 * * [simplify]: Extracting #0: cost 1 inf + 0 210.968 * * [simplify]: Extracting #1: cost 90 inf + 0 210.969 * * [simplify]: Extracting #2: cost 242 inf + 0 210.970 * * [simplify]: Extracting #3: cost 312 inf + 2 210.971 * * [simplify]: Extracting #4: cost 309 inf + 787 210.974 * * [simplify]: Extracting #5: cost 237 inf + 23661 210.991 * * [simplify]: Extracting #6: cost 44 inf + 154087 211.031 * * [simplify]: Extracting #7: cost 0 inf + 187878 211.055 * * [simplify]: Extracting #8: cost 0 inf + 187202 211.089 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 211.089 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 211.089 * * * * [progress]: [ 216 / 675 ] simplifiying candidate # 211.090 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 211.090 * * [simplify]: iters left: 6 (15 enodes) 211.095 * * [simplify]: iters left: 5 (59 enodes) 211.107 * * [simplify]: iters left: 4 (87 enodes) 211.135 * * [simplify]: iters left: 3 (141 enodes) 211.191 * * [simplify]: iters left: 2 (287 enodes) 211.339 * * [simplify]: Extracting #0: cost 1 inf + 0 211.339 * * [simplify]: Extracting #1: cost 62 inf + 0 211.340 * * [simplify]: Extracting #2: cost 147 inf + 1 211.341 * * [simplify]: Extracting #3: cost 189 inf + 4 211.341 * * [simplify]: Extracting #4: cost 202 inf + 11 211.343 * * [simplify]: Extracting #5: cost 180 inf + 3600 211.347 * * [simplify]: Extracting #6: cost 85 inf + 35759 211.364 * * [simplify]: Extracting #7: cost 3 inf + 93232 211.389 * * [simplify]: Extracting #8: cost 0 inf + 94906 211.415 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 211.415 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 211.415 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 211.416 * * [simplify]: iters left: 6 (15 enodes) 211.423 * * [simplify]: iters left: 5 (59 enodes) 211.447 * * [simplify]: iters left: 4 (96 enodes) 211.467 * * [simplify]: iters left: 3 (164 enodes) 211.520 * * [simplify]: iters left: 2 (347 enodes) 211.632 * * [simplify]: Extracting #0: cost 1 inf + 0 211.633 * * [simplify]: Extracting #1: cost 88 inf + 0 211.633 * * [simplify]: Extracting #2: cost 243 inf + 0 211.634 * * [simplify]: Extracting #3: cost 313 inf + 2 211.636 * * [simplify]: Extracting #4: cost 298 inf + 3266 211.641 * * [simplify]: Extracting #5: cost 200 inf + 42070 211.666 * * [simplify]: Extracting #6: cost 28 inf + 163627 211.696 * * [simplify]: Extracting #7: cost 0 inf + 185610 211.729 * * [simplify]: Extracting #8: cost 0 inf + 185413 211.753 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 211.753 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 211.753 * * * * [progress]: [ 217 / 675 ] simplifiying candidate # 211.753 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 211.754 * * [simplify]: iters left: 6 (14 enodes) 211.759 * * [simplify]: iters left: 5 (55 enodes) 211.778 * * [simplify]: iters left: 4 (83 enodes) 211.792 * * [simplify]: iters left: 3 (137 enodes) 211.827 * * [simplify]: iters left: 2 (283 enodes) 211.958 * * [simplify]: Extracting #0: cost 1 inf + 0 211.958 * * [simplify]: Extracting #1: cost 56 inf + 0 211.958 * * [simplify]: Extracting #2: cost 144 inf + 1 211.959 * * [simplify]: Extracting #3: cost 187 inf + 4 211.960 * * [simplify]: Extracting #4: cost 199 inf + 11 211.961 * * [simplify]: Extracting #5: cost 183 inf + 2538 211.963 * * [simplify]: Extracting #6: cost 122 inf + 14425 211.972 * * [simplify]: Extracting #7: cost 29 inf + 71170 211.989 * * [simplify]: Extracting #8: cost 0 inf + 89323 212.015 * * [simplify]: Extracting #9: cost 0 inf + 88537 212.039 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 212.040 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 212.040 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 212.040 * * [simplify]: iters left: 6 (13 enodes) 212.044 * * [simplify]: iters left: 5 (53 enodes) 212.054 * * [simplify]: iters left: 4 (90 enodes) 212.070 * * [simplify]: iters left: 3 (154 enodes) 212.106 * * [simplify]: iters left: 2 (332 enodes) 212.223 * * [simplify]: Extracting #0: cost 1 inf + 0 212.224 * * [simplify]: Extracting #1: cost 89 inf + 0 212.224 * * [simplify]: Extracting #2: cost 240 inf + 0 212.225 * * [simplify]: Extracting #3: cost 313 inf + 2 212.227 * * [simplify]: Extracting #4: cost 300 inf + 2125 212.230 * * [simplify]: Extracting #5: cost 243 inf + 14972 212.245 * * [simplify]: Extracting #6: cost 46 inf + 150408 212.276 * * [simplify]: Extracting #7: cost 1 inf + 179846 212.301 * * [simplify]: Extracting #8: cost 0 inf + 177955 212.342 * * [simplify]: Extracting #9: cost 0 inf + 177693 212.373 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 212.373 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 212.373 * * * * [progress]: [ 218 / 675 ] simplifiying candidate # 212.373 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 212.373 * * [simplify]: iters left: 6 (11 enodes) 212.378 * * [simplify]: iters left: 5 (46 enodes) 212.386 * * [simplify]: iters left: 4 (74 enodes) 212.400 * * [simplify]: iters left: 3 (115 enodes) 212.444 * * [simplify]: iters left: 2 (222 enodes) 212.509 * * [simplify]: Extracting #0: cost 1 inf + 0 212.509 * * [simplify]: Extracting #1: cost 34 inf + 0 212.510 * * [simplify]: Extracting #2: cost 98 inf + 3 212.511 * * [simplify]: Extracting #3: cost 135 inf + 6 212.513 * * [simplify]: Extracting #4: cost 118 inf + 1788 212.516 * * [simplify]: Extracting #5: cost 64 inf + 10674 212.525 * * [simplify]: Extracting #6: cost 10 inf + 40227 212.537 * * [simplify]: Extracting #7: cost 0 inf + 45674 212.543 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 212.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 212.543 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 212.543 * * [simplify]: iters left: 6 (12 enodes) 212.547 * * [simplify]: iters left: 5 (50 enodes) 212.555 * * [simplify]: iters left: 4 (75 enodes) 212.569 * * [simplify]: iters left: 3 (127 enodes) 212.607 * * [simplify]: iters left: 2 (264 enodes) 212.668 * * [simplify]: Extracting #0: cost 1 inf + 0 212.668 * * [simplify]: Extracting #1: cost 50 inf + 0 212.669 * * [simplify]: Extracting #2: cost 131 inf + 0 212.669 * * [simplify]: Extracting #3: cost 190 inf + 206 212.670 * * [simplify]: Extracting #4: cost 175 inf + 3153 212.673 * * [simplify]: Extracting #5: cost 123 inf + 16030 212.686 * * [simplify]: Extracting #6: cost 37 inf + 67423 212.709 * * [simplify]: Extracting #7: cost 1 inf + 91923 212.726 * * [simplify]: Extracting #8: cost 0 inf + 92789 212.738 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 212.738 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 212.738 * * * * [progress]: [ 219 / 675 ] simplifiying candidate # 212.738 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 212.738 * * [simplify]: iters left: 6 (14 enodes) 212.743 * * [simplify]: iters left: 5 (55 enodes) 212.753 * * [simplify]: iters left: 4 (83 enodes) 212.776 * * [simplify]: iters left: 3 (137 enodes) 212.829 * * [simplify]: iters left: 2 (283 enodes) 212.954 * * [simplify]: Extracting #0: cost 1 inf + 0 212.955 * * [simplify]: Extracting #1: cost 56 inf + 0 212.956 * * [simplify]: Extracting #2: cost 144 inf + 1 212.957 * * [simplify]: Extracting #3: cost 187 inf + 4 212.959 * * [simplify]: Extracting #4: cost 199 inf + 11 212.961 * * [simplify]: Extracting #5: cost 183 inf + 2538 212.966 * * [simplify]: Extracting #6: cost 122 inf + 14425 212.982 * * [simplify]: Extracting #7: cost 29 inf + 71170 213.006 * * [simplify]: Extracting #8: cost 0 inf + 89323 213.026 * * [simplify]: Extracting #9: cost 0 inf + 88537 213.039 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 213.039 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 213.039 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 213.039 * * [simplify]: iters left: 6 (13 enodes) 213.047 * * [simplify]: iters left: 5 (53 enodes) 213.066 * * [simplify]: iters left: 4 (90 enodes) 213.081 * * [simplify]: iters left: 3 (154 enodes) 213.126 * * [simplify]: iters left: 2 (332 enodes) 213.275 * * [simplify]: Extracting #0: cost 1 inf + 0 213.275 * * [simplify]: Extracting #1: cost 89 inf + 0 213.276 * * [simplify]: Extracting #2: cost 240 inf + 0 213.278 * * [simplify]: Extracting #3: cost 313 inf + 2 213.281 * * [simplify]: Extracting #4: cost 300 inf + 2125 213.287 * * [simplify]: Extracting #5: cost 243 inf + 14972 213.308 * * [simplify]: Extracting #6: cost 46 inf + 150408 213.332 * * [simplify]: Extracting #7: cost 1 inf + 179846 213.377 * * [simplify]: Extracting #8: cost 0 inf + 177955 213.419 * * [simplify]: Extracting #9: cost 0 inf + 177693 213.442 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 213.442 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 213.442 * * * * [progress]: [ 220 / 675 ] simplifiying candidate # 213.442 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt 1)) 213.443 * * [simplify]: iters left: 6 (11 enodes) 213.451 * * [simplify]: iters left: 5 (46 enodes) 213.467 * * [simplify]: iters left: 4 (74 enodes) 213.489 * * [simplify]: iters left: 3 (115 enodes) 213.530 * * [simplify]: iters left: 2 (222 enodes) 213.599 * * [simplify]: Extracting #0: cost 1 inf + 0 213.599 * * [simplify]: Extracting #1: cost 34 inf + 0 213.600 * * [simplify]: Extracting #2: cost 98 inf + 3 213.600 * * [simplify]: Extracting #3: cost 135 inf + 6 213.602 * * [simplify]: Extracting #4: cost 118 inf + 1788 213.606 * * [simplify]: Extracting #5: cost 64 inf + 10674 213.614 * * [simplify]: Extracting #6: cost 10 inf + 40227 213.624 * * [simplify]: Extracting #7: cost 0 inf + 45674 213.629 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 213.630 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 213.630 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 213.630 * * [simplify]: iters left: 6 (12 enodes) 213.633 * * [simplify]: iters left: 5 (50 enodes) 213.641 * * [simplify]: iters left: 4 (75 enodes) 213.654 * * [simplify]: iters left: 3 (127 enodes) 213.686 * * [simplify]: iters left: 2 (264 enodes) 213.802 * * [simplify]: Extracting #0: cost 1 inf + 0 213.802 * * [simplify]: Extracting #1: cost 50 inf + 0 213.803 * * [simplify]: Extracting #2: cost 131 inf + 0 213.803 * * [simplify]: Extracting #3: cost 190 inf + 206 213.804 * * [simplify]: Extracting #4: cost 175 inf + 3153 213.807 * * [simplify]: Extracting #5: cost 123 inf + 16030 213.814 * * [simplify]: Extracting #6: cost 37 inf + 67423 213.826 * * [simplify]: Extracting #7: cost 1 inf + 91923 213.840 * * [simplify]: Extracting #8: cost 0 inf + 92789 213.851 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 213.851 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 213.851 * * * * [progress]: [ 221 / 675 ] simplifiying candidate # 213.851 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 213.851 * * [simplify]: iters left: 6 (14 enodes) 213.856 * * [simplify]: iters left: 5 (55 enodes) 213.871 * * [simplify]: iters left: 4 (83 enodes) 213.885 * * [simplify]: iters left: 3 (137 enodes) 213.920 * * [simplify]: iters left: 2 (283 enodes) 214.043 * * [simplify]: Extracting #0: cost 1 inf + 0 214.043 * * [simplify]: Extracting #1: cost 56 inf + 0 214.044 * * [simplify]: Extracting #2: cost 144 inf + 1 214.045 * * [simplify]: Extracting #3: cost 187 inf + 4 214.047 * * [simplify]: Extracting #4: cost 199 inf + 11 214.049 * * [simplify]: Extracting #5: cost 183 inf + 2538 214.054 * * [simplify]: Extracting #6: cost 122 inf + 14425 214.071 * * [simplify]: Extracting #7: cost 29 inf + 71170 214.095 * * [simplify]: Extracting #8: cost 0 inf + 89323 214.107 * * [simplify]: Extracting #9: cost 0 inf + 88537 214.120 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 214.120 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 214.120 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 214.121 * * [simplify]: iters left: 6 (13 enodes) 214.124 * * [simplify]: iters left: 5 (53 enodes) 214.137 * * [simplify]: iters left: 4 (90 enodes) 214.152 * * [simplify]: iters left: 3 (154 enodes) 214.199 * * [simplify]: iters left: 2 (332 enodes) 214.349 * * [simplify]: Extracting #0: cost 1 inf + 0 214.349 * * [simplify]: Extracting #1: cost 89 inf + 0 214.351 * * [simplify]: Extracting #2: cost 240 inf + 0 214.352 * * [simplify]: Extracting #3: cost 313 inf + 2 214.355 * * [simplify]: Extracting #4: cost 300 inf + 2125 214.361 * * [simplify]: Extracting #5: cost 243 inf + 14972 214.391 * * [simplify]: Extracting #6: cost 46 inf + 150408 214.436 * * [simplify]: Extracting #7: cost 1 inf + 179846 214.481 * * [simplify]: Extracting #8: cost 0 inf + 177955 214.513 * * [simplify]: Extracting #9: cost 0 inf + 177693 214.548 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 214.549 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 214.549 * * * * [progress]: [ 222 / 675 ] simplifiying candidate # 214.549 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) 1) 214.549 * * [simplify]: iters left: 6 (11 enodes) 214.558 * * [simplify]: iters left: 5 (44 enodes) 214.573 * * [simplify]: iters left: 4 (72 enodes) 214.594 * * [simplify]: iters left: 3 (109 enodes) 214.631 * * [simplify]: iters left: 2 (211 enodes) 214.689 * * [simplify]: iters left: 1 (494 enodes) 215.040 * * [simplify]: Extracting #0: cost 1 inf + 0 215.040 * * [simplify]: Extracting #1: cost 59 inf + 0 215.041 * * [simplify]: Extracting #2: cost 180 inf + 3 215.042 * * [simplify]: Extracting #3: cost 231 inf + 8 215.043 * * [simplify]: Extracting #4: cost 219 inf + 1382 215.046 * * [simplify]: Extracting #5: cost 159 inf + 8424 215.053 * * [simplify]: Extracting #6: cost 93 inf + 43709 215.080 * * [simplify]: Extracting #7: cost 5 inf + 113947 215.122 * * [simplify]: Extracting #8: cost 0 inf + 117118 215.152 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 215.152 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 215.152 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 215.152 * * [simplify]: iters left: 6 (12 enodes) 215.156 * * [simplify]: iters left: 5 (50 enodes) 215.164 * * [simplify]: iters left: 4 (75 enodes) 215.176 * * [simplify]: iters left: 3 (127 enodes) 215.218 * * [simplify]: iters left: 2 (264 enodes) 215.293 * * [simplify]: Extracting #0: cost 1 inf + 0 215.293 * * [simplify]: Extracting #1: cost 50 inf + 0 215.293 * * [simplify]: Extracting #2: cost 131 inf + 0 215.294 * * [simplify]: Extracting #3: cost 190 inf + 206 215.295 * * [simplify]: Extracting #4: cost 175 inf + 3153 215.301 * * [simplify]: Extracting #5: cost 123 inf + 16030 215.316 * * [simplify]: Extracting #6: cost 37 inf + 67423 215.332 * * [simplify]: Extracting #7: cost 1 inf + 91923 215.343 * * [simplify]: Extracting #8: cost 0 inf + 92789 215.354 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 215.354 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 215.354 * * * * [progress]: [ 223 / 675 ] simplifiying candidate # 215.355 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 215.355 * * [simplify]: iters left: 6 (14 enodes) 215.359 * * [simplify]: iters left: 5 (57 enodes) 215.369 * * [simplify]: iters left: 4 (99 enodes) 215.386 * * [simplify]: iters left: 3 (187 enodes) 215.447 * * [simplify]: iters left: 2 (499 enodes) 215.845 * * [simplify]: Extracting #0: cost 1 inf + 0 215.845 * * [simplify]: Extracting #1: cost 165 inf + 0 215.848 * * [simplify]: Extracting #2: cost 498 inf + 0 215.853 * * [simplify]: Extracting #3: cost 566 inf + 3 215.857 * * [simplify]: Extracting #4: cost 577 inf + 11 215.863 * * [simplify]: Extracting #5: cost 522 inf + 11987 215.880 * * [simplify]: Extracting #6: cost 253 inf + 178482 215.944 * * [simplify]: Extracting #7: cost 9 inf + 359195 216.012 * * [simplify]: Extracting #8: cost 0 inf + 358492 216.114 * * [simplify]: Extracting #9: cost 0 inf + 358230 216.178 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 216.179 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 216.179 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 216.179 * * [simplify]: iters left: 6 (14 enodes) 216.183 * * [simplify]: iters left: 5 (56 enodes) 216.197 * * [simplify]: iters left: 4 (93 enodes) 216.224 * * [simplify]: iters left: 3 (157 enodes) 216.282 * * [simplify]: iters left: 2 (335 enodes) 216.408 * * [simplify]: Extracting #0: cost 1 inf + 0 216.409 * * [simplify]: Extracting #1: cost 90 inf + 0 216.409 * * [simplify]: Extracting #2: cost 242 inf + 0 216.410 * * [simplify]: Extracting #3: cost 311 inf + 2 216.412 * * [simplify]: Extracting #4: cost 320 inf + 53 216.413 * * [simplify]: Extracting #5: cost 297 inf + 2836 216.420 * * [simplify]: Extracting #6: cost 229 inf + 21442 216.451 * * [simplify]: Extracting #7: cost 51 inf + 152140 216.500 * * [simplify]: Extracting #8: cost 1 inf + 194182 216.551 * * [simplify]: Extracting #9: cost 0 inf + 193127 216.577 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 216.577 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 216.577 * * * * [progress]: [ 224 / 675 ] simplifiying candidate # 216.577 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 216.577 * * [simplify]: iters left: 6 (15 enodes) 216.582 * * [simplify]: iters left: 5 (59 enodes) 216.593 * * [simplify]: iters left: 4 (96 enodes) 216.620 * * [simplify]: iters left: 3 (160 enodes) 216.661 * * [simplify]: iters left: 2 (338 enodes) 216.787 * * [simplify]: Extracting #0: cost 1 inf + 0 216.788 * * [simplify]: Extracting #1: cost 88 inf + 0 216.788 * * [simplify]: Extracting #2: cost 238 inf + 0 216.789 * * [simplify]: Extracting #3: cost 304 inf + 3 216.791 * * [simplify]: Extracting #4: cost 315 inf + 11 216.793 * * [simplify]: Extracting #5: cost 271 inf + 6982 216.800 * * [simplify]: Extracting #6: cost 142 inf + 78584 216.833 * * [simplify]: Extracting #7: cost 14 inf + 168344 216.880 * * [simplify]: Extracting #8: cost 0 inf + 176126 216.903 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 216.903 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 216.903 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 216.903 * * [simplify]: iters left: 6 (15 enodes) 216.908 * * [simplify]: iters left: 5 (59 enodes) 216.924 * * [simplify]: iters left: 4 (96 enodes) 216.956 * * [simplify]: iters left: 3 (164 enodes) 216.999 * * [simplify]: iters left: 2 (347 enodes) 217.114 * * [simplify]: Extracting #0: cost 1 inf + 0 217.114 * * [simplify]: Extracting #1: cost 88 inf + 0 217.115 * * [simplify]: Extracting #2: cost 243 inf + 0 217.117 * * [simplify]: Extracting #3: cost 312 inf + 2 217.120 * * [simplify]: Extracting #4: cost 324 inf + 53 217.122 * * [simplify]: Extracting #5: cost 305 inf + 1778 217.132 * * [simplify]: Extracting #6: cost 205 inf + 38599 217.155 * * [simplify]: Extracting #7: cost 26 inf + 169625 217.187 * * [simplify]: Extracting #8: cost 0 inf + 188488 217.216 * * [simplify]: Extracting #9: cost 0 inf + 187753 217.243 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 217.243 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 217.243 * * * * [progress]: [ 225 / 675 ] simplifiying candidate # 217.243 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 217.244 * * [simplify]: iters left: 6 (16 enodes) 217.248 * * [simplify]: iters left: 5 (62 enodes) 217.268 * * [simplify]: iters left: 4 (95 enodes) 217.299 * * [simplify]: iters left: 3 (164 enodes) 217.349 * * [simplify]: iters left: 2 (363 enodes) 217.472 * * [simplify]: Extracting #0: cost 1 inf + 0 217.472 * * [simplify]: Extracting #1: cost 87 inf + 0 217.474 * * [simplify]: Extracting #2: cost 238 inf + 0 217.476 * * [simplify]: Extracting #3: cost 309 inf + 3 217.478 * * [simplify]: Extracting #4: cost 322 inf + 11 217.484 * * [simplify]: Extracting #5: cost 259 inf + 16715 217.513 * * [simplify]: Extracting #6: cost 69 inf + 113716 217.566 * * [simplify]: Extracting #7: cost 0 inf + 158667 217.620 * * [simplify]: Extracting #8: cost 0 inf + 156367 217.671 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 217.671 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 217.672 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 217.672 * * [simplify]: iters left: 6 (16 enodes) 217.680 * * [simplify]: iters left: 5 (62 enodes) 217.692 * * [simplify]: iters left: 4 (99 enodes) 217.707 * * [simplify]: iters left: 3 (163 enodes) 217.763 * * [simplify]: iters left: 2 (341 enodes) 217.887 * * [simplify]: Extracting #0: cost 1 inf + 0 217.888 * * [simplify]: Extracting #1: cost 89 inf + 0 217.889 * * [simplify]: Extracting #2: cost 240 inf + 0 217.891 * * [simplify]: Extracting #3: cost 310 inf + 2 217.893 * * [simplify]: Extracting #4: cost 320 inf + 53 217.896 * * [simplify]: Extracting #5: cost 297 inf + 2399 217.903 * * [simplify]: Extracting #6: cost 181 inf + 56609 217.922 * * [simplify]: Extracting #7: cost 25 inf + 174324 217.957 * * [simplify]: Extracting #8: cost 0 inf + 194132 217.993 * * [simplify]: Extracting #9: cost 0 inf + 193307 218.039 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 218.040 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 218.040 * * * * [progress]: [ 226 / 675 ] simplifiying candidate # 218.040 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 218.040 * * [simplify]: iters left: 6 (12 enodes) 218.044 * * [simplify]: iters left: 5 (49 enodes) 218.053 * * [simplify]: iters left: 4 (78 enodes) 218.071 * * [simplify]: iters left: 3 (129 enodes) 218.099 * * [simplify]: iters left: 2 (250 enodes) 218.180 * * [simplify]: Extracting #0: cost 1 inf + 0 218.181 * * [simplify]: Extracting #1: cost 50 inf + 0 218.181 * * [simplify]: Extracting #2: cost 133 inf + 0 218.181 * * [simplify]: Extracting #3: cost 193 inf + 3 218.183 * * [simplify]: Extracting #4: cost 169 inf + 5895 218.195 * * [simplify]: Extracting #5: cost 64 inf + 51254 218.214 * * [simplify]: Extracting #6: cost 1 inf + 82300 218.225 * * [simplify]: Extracting #7: cost 0 inf + 81099 218.237 * * [simplify]: Extracting #8: cost 0 inf + 80557 218.257 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 218.257 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 218.257 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 218.257 * * [simplify]: iters left: 6 (13 enodes) 218.261 * * [simplify]: iters left: 5 (53 enodes) 218.273 * * [simplify]: iters left: 4 (82 enodes) 218.288 * * [simplify]: iters left: 3 (129 enodes) 218.316 * * [simplify]: iters left: 2 (245 enodes) 218.415 * * [simplify]: Extracting #0: cost 1 inf + 0 218.415 * * [simplify]: Extracting #1: cost 50 inf + 0 218.416 * * [simplify]: Extracting #2: cost 132 inf + 0 218.417 * * [simplify]: Extracting #3: cost 196 inf + 2 218.419 * * [simplify]: Extracting #4: cost 179 inf + 2904 218.424 * * [simplify]: Extracting #5: cost 129 inf + 13116 218.436 * * [simplify]: Extracting #6: cost 48 inf + 60547 218.459 * * [simplify]: Extracting #7: cost 4 inf + 95366 218.483 * * [simplify]: Extracting #8: cost 0 inf + 97062 218.510 * * [simplify]: Extracting #9: cost 0 inf + 96538 218.534 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 218.534 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 218.534 * * * * [progress]: [ 227 / 675 ] simplifiying candidate # 218.535 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 218.535 * * [simplify]: iters left: 6 (14 enodes) 218.546 * * [simplify]: iters left: 5 (55 enodes) 218.564 * * [simplify]: iters left: 4 (87 enodes) 218.590 * * [simplify]: iters left: 3 (146 enodes) 218.648 * * [simplify]: iters left: 2 (316 enodes) 218.855 * * [simplify]: Extracting #0: cost 1 inf + 0 218.855 * * [simplify]: Extracting #1: cost 71 inf + 0 218.857 * * [simplify]: Extracting #2: cost 156 inf + 1 218.861 * * [simplify]: Extracting #3: cost 198 inf + 4 218.862 * * [simplify]: Extracting #4: cost 210 inf + 11 218.863 * * [simplify]: Extracting #5: cost 178 inf + 4809 218.871 * * [simplify]: Extracting #6: cost 52 inf + 56583 218.891 * * [simplify]: Extracting #7: cost 1 inf + 83761 218.926 * * [simplify]: Extracting #8: cost 0 inf + 83978 218.960 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 218.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 218.961 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 218.961 * * [simplify]: iters left: 6 (13 enodes) 218.969 * * [simplify]: iters left: 5 (53 enodes) 218.987 * * [simplify]: iters left: 4 (90 enodes) 219.018 * * [simplify]: iters left: 3 (154 enodes) 219.076 * * [simplify]: iters left: 2 (332 enodes) 219.209 * * [simplify]: Extracting #0: cost 1 inf + 0 219.209 * * [simplify]: Extracting #1: cost 89 inf + 0 219.210 * * [simplify]: Extracting #2: cost 239 inf + 0 219.211 * * [simplify]: Extracting #3: cost 312 inf + 2 219.212 * * [simplify]: Extracting #4: cost 298 inf + 2814 219.215 * * [simplify]: Extracting #5: cost 250 inf + 12246 219.230 * * [simplify]: Extracting #6: cost 118 inf + 90187 219.264 * * [simplify]: Extracting #7: cost 4 inf + 176281 219.288 * * [simplify]: Extracting #8: cost 0 inf + 177118 219.333 * * [simplify]: Extracting #9: cost 0 inf + 176987 219.361 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 219.361 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 219.362 * * * * [progress]: [ 228 / 675 ] simplifiying candidate # 219.362 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 219.362 * * [simplify]: iters left: 6 (12 enodes) 219.365 * * [simplify]: iters left: 5 (49 enodes) 219.374 * * [simplify]: iters left: 4 (78 enodes) 219.398 * * [simplify]: iters left: 3 (129 enodes) 219.423 * * [simplify]: iters left: 2 (250 enodes) 219.528 * * [simplify]: Extracting #0: cost 1 inf + 0 219.529 * * [simplify]: Extracting #1: cost 50 inf + 0 219.529 * * [simplify]: Extracting #2: cost 133 inf + 0 219.531 * * [simplify]: Extracting #3: cost 193 inf + 3 219.533 * * [simplify]: Extracting #4: cost 169 inf + 5895 219.544 * * [simplify]: Extracting #5: cost 64 inf + 51254 219.556 * * [simplify]: Extracting #6: cost 1 inf + 82300 219.568 * * [simplify]: Extracting #7: cost 0 inf + 81099 219.587 * * [simplify]: Extracting #8: cost 0 inf + 80557 219.609 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 219.609 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 219.610 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 219.610 * * [simplify]: iters left: 6 (13 enodes) 219.616 * * [simplify]: iters left: 5 (53 enodes) 219.625 * * [simplify]: iters left: 4 (82 enodes) 219.638 * * [simplify]: iters left: 3 (129 enodes) 219.684 * * [simplify]: iters left: 2 (245 enodes) 219.769 * * [simplify]: Extracting #0: cost 1 inf + 0 219.769 * * [simplify]: Extracting #1: cost 50 inf + 0 219.769 * * [simplify]: Extracting #2: cost 132 inf + 0 219.770 * * [simplify]: Extracting #3: cost 196 inf + 2 219.771 * * [simplify]: Extracting #4: cost 179 inf + 2904 219.773 * * [simplify]: Extracting #5: cost 129 inf + 13116 219.779 * * [simplify]: Extracting #6: cost 48 inf + 60547 219.797 * * [simplify]: Extracting #7: cost 4 inf + 95366 219.809 * * [simplify]: Extracting #8: cost 0 inf + 97062 219.821 * * [simplify]: Extracting #9: cost 0 inf + 96538 219.833 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 219.833 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 219.833 * * * * [progress]: [ 229 / 675 ] simplifiying candidate # 219.833 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 219.833 * * [simplify]: iters left: 6 (13 enodes) 219.842 * * [simplify]: iters left: 5 (52 enodes) 219.858 * * [simplify]: iters left: 4 (84 enodes) 219.871 * * [simplify]: iters left: 3 (141 enodes) 219.901 * * [simplify]: iters left: 2 (308 enodes) 220.060 * * [simplify]: Extracting #0: cost 1 inf + 0 220.060 * * [simplify]: Extracting #1: cost 70 inf + 0 220.061 * * [simplify]: Extracting #2: cost 182 inf + 1 220.063 * * [simplify]: Extracting #3: cost 223 inf + 4 220.065 * * [simplify]: Extracting #4: cost 235 inf + 11 220.068 * * [simplify]: Extracting #5: cost 196 inf + 6312 220.083 * * [simplify]: Extracting #6: cost 56 inf + 71698 220.100 * * [simplify]: Extracting #7: cost 1 inf + 102854 220.120 * * [simplify]: Extracting #8: cost 0 inf + 101598 220.149 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 220.149 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 220.149 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 220.149 * * [simplify]: iters left: 6 (13 enodes) 220.153 * * [simplify]: iters left: 5 (53 enodes) 220.165 * * [simplify]: iters left: 4 (90 enodes) 220.184 * * [simplify]: iters left: 3 (154 enodes) 220.242 * * [simplify]: iters left: 2 (332 enodes) 220.349 * * [simplify]: Extracting #0: cost 1 inf + 0 220.349 * * [simplify]: Extracting #1: cost 89 inf + 0 220.352 * * [simplify]: Extracting #2: cost 239 inf + 0 220.353 * * [simplify]: Extracting #3: cost 312 inf + 2 220.354 * * [simplify]: Extracting #4: cost 298 inf + 2814 220.357 * * [simplify]: Extracting #5: cost 250 inf + 12246 220.366 * * [simplify]: Extracting #6: cost 118 inf + 90187 220.403 * * [simplify]: Extracting #7: cost 4 inf + 176281 220.448 * * [simplify]: Extracting #8: cost 0 inf + 177118 220.481 * * [simplify]: Extracting #9: cost 0 inf + 176987 220.512 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 220.512 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 220.512 * * * * [progress]: [ 230 / 675 ] simplifiying candidate # 220.513 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 220.513 * * [simplify]: iters left: 6 (12 enodes) 220.520 * * [simplify]: iters left: 5 (49 enodes) 220.537 * * [simplify]: iters left: 4 (78 enodes) 220.559 * * [simplify]: iters left: 3 (129 enodes) 220.590 * * [simplify]: iters left: 2 (250 enodes) 220.695 * * [simplify]: Extracting #0: cost 1 inf + 0 220.695 * * [simplify]: Extracting #1: cost 50 inf + 0 220.696 * * [simplify]: Extracting #2: cost 133 inf + 0 220.697 * * [simplify]: Extracting #3: cost 193 inf + 3 220.699 * * [simplify]: Extracting #4: cost 169 inf + 5895 220.706 * * [simplify]: Extracting #5: cost 64 inf + 51254 220.718 * * [simplify]: Extracting #6: cost 1 inf + 82300 220.733 * * [simplify]: Extracting #7: cost 0 inf + 81099 220.751 * * [simplify]: Extracting #8: cost 0 inf + 80557 220.773 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 220.773 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 220.774 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 220.774 * * [simplify]: iters left: 6 (13 enodes) 220.781 * * [simplify]: iters left: 5 (53 enodes) 220.799 * * [simplify]: iters left: 4 (82 enodes) 220.824 * * [simplify]: iters left: 3 (129 enodes) 220.850 * * [simplify]: iters left: 2 (245 enodes) 220.919 * * [simplify]: Extracting #0: cost 1 inf + 0 220.919 * * [simplify]: Extracting #1: cost 50 inf + 0 220.920 * * [simplify]: Extracting #2: cost 132 inf + 0 220.920 * * [simplify]: Extracting #3: cost 196 inf + 2 220.921 * * [simplify]: Extracting #4: cost 179 inf + 2904 220.923 * * [simplify]: Extracting #5: cost 129 inf + 13116 220.932 * * [simplify]: Extracting #6: cost 48 inf + 60547 220.943 * * [simplify]: Extracting #7: cost 4 inf + 95366 220.956 * * [simplify]: Extracting #8: cost 0 inf + 97062 220.979 * * [simplify]: Extracting #9: cost 0 inf + 96538 220.996 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 220.996 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 220.997 * * * * [progress]: [ 231 / 675 ] simplifiying candidate # 220.997 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 1) 220.997 * * [simplify]: iters left: 6 (12 enodes) 221.001 * * [simplify]: iters left: 5 (47 enodes) 221.009 * * [simplify]: iters left: 4 (80 enodes) 221.031 * * [simplify]: iters left: 3 (145 enodes) 221.075 * * [simplify]: iters left: 2 (337 enodes) 221.308 * * [simplify]: Extracting #0: cost 1 inf + 0 221.308 * * [simplify]: Extracting #1: cost 69 inf + 0 221.309 * * [simplify]: Extracting #2: cost 185 inf + 1 221.310 * * [simplify]: Extracting #3: cost 227 inf + 4 221.312 * * [simplify]: Extracting #4: cost 238 inf + 11 221.314 * * [simplify]: Extracting #5: cost 205 inf + 4926 221.325 * * [simplify]: Extracting #6: cost 120 inf + 40294 221.353 * * [simplify]: Extracting #7: cost 38 inf + 95276 221.391 * * [simplify]: Extracting #8: cost 0 inf + 119183 221.425 * * [simplify]: Extracting #9: cost 0 inf + 117713 221.460 * * [simplify]: Extracting #10: cost 0 inf + 117451 221.495 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 221.495 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 221.495 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 221.496 * * [simplify]: iters left: 6 (13 enodes) 221.503 * * [simplify]: iters left: 5 (53 enodes) 221.520 * * [simplify]: iters left: 4 (90 enodes) 221.540 * * [simplify]: iters left: 3 (154 enodes) 221.570 * * [simplify]: iters left: 2 (332 enodes) 221.662 * * [simplify]: Extracting #0: cost 1 inf + 0 221.662 * * [simplify]: Extracting #1: cost 89 inf + 0 221.663 * * [simplify]: Extracting #2: cost 239 inf + 0 221.665 * * [simplify]: Extracting #3: cost 312 inf + 2 221.668 * * [simplify]: Extracting #4: cost 298 inf + 2814 221.679 * * [simplify]: Extracting #5: cost 250 inf + 12246 221.698 * * [simplify]: Extracting #6: cost 118 inf + 90187 221.726 * * [simplify]: Extracting #7: cost 4 inf + 176281 221.748 * * [simplify]: Extracting #8: cost 0 inf + 177118 221.792 * * [simplify]: Extracting #9: cost 0 inf + 176987 222.215 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 222.215 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 222.215 * * * * [progress]: [ 232 / 675 ] simplifiying candidate # 222.215 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 222.215 * * [simplify]: iters left: 6 (14 enodes) 222.220 * * [simplify]: iters left: 5 (57 enodes) 222.230 * * [simplify]: iters left: 4 (89 enodes) 222.245 * * [simplify]: iters left: 3 (151 enodes) 222.297 * * [simplify]: iters left: 2 (353 enodes) 222.492 * * [simplify]: Extracting #0: cost 1 inf + 0 222.492 * * [simplify]: Extracting #1: cost 85 inf + 0 222.493 * * [simplify]: Extracting #2: cost 221 inf + 1 222.494 * * [simplify]: Extracting #3: cost 264 inf + 4 222.495 * * [simplify]: Extracting #4: cost 276 inf + 11 222.497 * * [simplify]: Extracting #5: cost 246 inf + 6079 222.506 * * [simplify]: Extracting #6: cost 101 inf + 77766 222.525 * * [simplify]: Extracting #7: cost 7 inf + 143626 222.546 * * [simplify]: Extracting #8: cost 0 inf + 148310 222.592 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 222.592 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 222.592 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 222.592 * * [simplify]: iters left: 6 (13 enodes) 222.600 * * [simplify]: iters left: 5 (53 enodes) 222.619 * * [simplify]: iters left: 4 (90 enodes) 222.649 * * [simplify]: iters left: 3 (154 enodes) 222.706 * * [simplify]: iters left: 2 (332 enodes) 222.849 * * [simplify]: Extracting #0: cost 1 inf + 0 222.849 * * [simplify]: Extracting #1: cost 89 inf + 0 222.850 * * [simplify]: Extracting #2: cost 240 inf + 0 222.851 * * [simplify]: Extracting #3: cost 313 inf + 2 222.852 * * [simplify]: Extracting #4: cost 300 inf + 2125 222.855 * * [simplify]: Extracting #5: cost 243 inf + 15252 222.871 * * [simplify]: Extracting #6: cost 46 inf + 154248 222.916 * * [simplify]: Extracting #7: cost 1 inf + 184886 222.958 * * [simplify]: Extracting #8: cost 0 inf + 183035 222.986 * * [simplify]: Extracting #9: cost 0 inf + 182773 223.031 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 223.031 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 223.031 * * * * [progress]: [ 233 / 675 ] simplifiying candidate # 223.032 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 223.032 * * [simplify]: iters left: 6 (14 enodes) 223.041 * * [simplify]: iters left: 5 (56 enodes) 223.060 * * [simplify]: iters left: 4 (84 enodes) 223.076 * * [simplify]: iters left: 3 (138 enodes) 223.121 * * [simplify]: iters left: 2 (284 enodes) 223.249 * * [simplify]: Extracting #0: cost 1 inf + 0 223.249 * * [simplify]: Extracting #1: cost 60 inf + 0 223.249 * * [simplify]: Extracting #2: cost 151 inf + 1 223.250 * * [simplify]: Extracting #3: cost 194 inf + 4 223.251 * * [simplify]: Extracting #4: cost 206 inf + 11 223.252 * * [simplify]: Extracting #5: cost 180 inf + 4217 223.254 * * [simplify]: Extracting #6: cost 134 inf + 11273 223.261 * * [simplify]: Extracting #7: cost 53 inf + 61502 223.288 * * [simplify]: Extracting #8: cost 1 inf + 98037 223.313 * * [simplify]: Extracting #9: cost 0 inf + 97865 223.330 * * [simplify]: Extracting #10: cost 0 inf + 97654 223.343 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 223.343 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 223.343 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 223.343 * * [simplify]: iters left: 6 (14 enodes) 223.347 * * [simplify]: iters left: 5 (56 enodes) 223.364 * * [simplify]: iters left: 4 (93 enodes) 223.396 * * [simplify]: iters left: 3 (157 enodes) 223.456 * * [simplify]: iters left: 2 (335 enodes) 223.606 * * [simplify]: Extracting #0: cost 1 inf + 0 223.606 * * [simplify]: Extracting #1: cost 90 inf + 0 223.607 * * [simplify]: Extracting #2: cost 242 inf + 0 223.608 * * [simplify]: Extracting #3: cost 312 inf + 2 223.609 * * [simplify]: Extracting #4: cost 309 inf + 787 223.615 * * [simplify]: Extracting #5: cost 237 inf + 23661 223.636 * * [simplify]: Extracting #6: cost 44 inf + 154087 223.669 * * [simplify]: Extracting #7: cost 0 inf + 187878 223.717 * * [simplify]: Extracting #8: cost 0 inf + 187202 223.763 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 223.764 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 223.764 * * * * [progress]: [ 234 / 675 ] simplifiying candidate # 223.764 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 223.764 * * [simplify]: iters left: 6 (14 enodes) 223.775 * * [simplify]: iters left: 5 (56 enodes) 223.793 * * [simplify]: iters left: 4 (84 enodes) 223.820 * * [simplify]: iters left: 3 (138 enodes) 223.874 * * [simplify]: iters left: 2 (284 enodes) 223.976 * * [simplify]: Extracting #0: cost 1 inf + 0 223.976 * * [simplify]: Extracting #1: cost 60 inf + 0 223.976 * * [simplify]: Extracting #2: cost 150 inf + 1 223.977 * * [simplify]: Extracting #3: cost 193 inf + 4 223.977 * * [simplify]: Extracting #4: cost 206 inf + 11 223.979 * * [simplify]: Extracting #5: cost 180 inf + 4217 223.981 * * [simplify]: Extracting #6: cost 134 inf + 11273 223.987 * * [simplify]: Extracting #7: cost 53 inf + 61502 224.001 * * [simplify]: Extracting #8: cost 1 inf + 98037 224.027 * * [simplify]: Extracting #9: cost 0 inf + 97865 224.044 * * [simplify]: Extracting #10: cost 0 inf + 97654 224.056 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 224.056 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 224.057 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 224.057 * * [simplify]: iters left: 6 (15 enodes) 224.061 * * [simplify]: iters left: 5 (59 enodes) 224.084 * * [simplify]: iters left: 4 (96 enodes) 224.116 * * [simplify]: iters left: 3 (164 enodes) 224.148 * * [simplify]: iters left: 2 (347 enodes) 224.284 * * [simplify]: Extracting #0: cost 1 inf + 0 224.284 * * [simplify]: Extracting #1: cost 88 inf + 0 224.285 * * [simplify]: Extracting #2: cost 243 inf + 0 224.287 * * [simplify]: Extracting #3: cost 313 inf + 2 224.291 * * [simplify]: Extracting #4: cost 298 inf + 3266 224.301 * * [simplify]: Extracting #5: cost 200 inf + 42070 224.334 * * [simplify]: Extracting #6: cost 28 inf + 163627 224.358 * * [simplify]: Extracting #7: cost 0 inf + 185610 224.403 * * [simplify]: Extracting #8: cost 0 inf + 185413 224.428 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 224.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 224.428 * * * * [progress]: [ 235 / 675 ] simplifiying candidate # 224.428 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 224.428 * * [simplify]: iters left: 6 (13 enodes) 224.437 * * [simplify]: iters left: 5 (52 enodes) 224.455 * * [simplify]: iters left: 4 (80 enodes) 224.481 * * [simplify]: iters left: 3 (134 enodes) 224.529 * * [simplify]: iters left: 2 (280 enodes) 224.640 * * [simplify]: Extracting #0: cost 1 inf + 0 224.641 * * [simplify]: Extracting #1: cost 58 inf + 0 224.642 * * [simplify]: Extracting #2: cost 149 inf + 1 224.643 * * [simplify]: Extracting #3: cost 190 inf + 4 224.645 * * [simplify]: Extracting #4: cost 202 inf + 11 224.647 * * [simplify]: Extracting #5: cost 178 inf + 4235 224.661 * * [simplify]: Extracting #6: cost 56 inf + 62396 224.686 * * [simplify]: Extracting #7: cost 0 inf + 92380 224.712 * * [simplify]: Extracting #8: cost 0 inf + 91980 224.737 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 224.737 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 224.737 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 224.738 * * [simplify]: iters left: 6 (13 enodes) 224.745 * * [simplify]: iters left: 5 (53 enodes) 224.768 * * [simplify]: iters left: 4 (90 enodes) 224.796 * * [simplify]: iters left: 3 (154 enodes) 224.840 * * [simplify]: iters left: 2 (332 enodes) 224.977 * * [simplify]: Extracting #0: cost 1 inf + 0 224.977 * * [simplify]: Extracting #1: cost 89 inf + 0 224.978 * * [simplify]: Extracting #2: cost 240 inf + 0 224.980 * * [simplify]: Extracting #3: cost 313 inf + 2 224.983 * * [simplify]: Extracting #4: cost 300 inf + 2125 224.989 * * [simplify]: Extracting #5: cost 243 inf + 14972 225.005 * * [simplify]: Extracting #6: cost 46 inf + 150408 225.035 * * [simplify]: Extracting #7: cost 1 inf + 179846 225.057 * * [simplify]: Extracting #8: cost 0 inf + 177955 225.102 * * [simplify]: Extracting #9: cost 0 inf + 177693 225.148 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 225.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 225.148 * * * * [progress]: [ 236 / 675 ] simplifiying candidate # 225.148 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt 1))) 225.149 * * [simplify]: iters left: 6 (11 enodes) 225.155 * * [simplify]: iters left: 5 (46 enodes) 225.163 * * [simplify]: iters left: 4 (74 enodes) 225.175 * * [simplify]: iters left: 3 (115 enodes) 225.215 * * [simplify]: iters left: 2 (222 enodes) 225.278 * * [simplify]: Extracting #0: cost 1 inf + 0 225.278 * * [simplify]: Extracting #1: cost 34 inf + 0 225.278 * * [simplify]: Extracting #2: cost 98 inf + 3 225.278 * * [simplify]: Extracting #3: cost 135 inf + 6 225.279 * * [simplify]: Extracting #4: cost 118 inf + 1918 225.281 * * [simplify]: Extracting #5: cost 64 inf + 10755 225.285 * * [simplify]: Extracting #6: cost 11 inf + 39853 225.297 * * [simplify]: Extracting #7: cost 0 inf + 45674 225.312 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 225.312 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 225.313 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 225.313 * * [simplify]: iters left: 6 (12 enodes) 225.320 * * [simplify]: iters left: 5 (50 enodes) 225.337 * * [simplify]: iters left: 4 (75 enodes) 225.362 * * [simplify]: iters left: 3 (127 enodes) 225.411 * * [simplify]: iters left: 2 (264 enodes) 225.499 * * [simplify]: Extracting #0: cost 1 inf + 0 225.499 * * [simplify]: Extracting #1: cost 50 inf + 0 225.500 * * [simplify]: Extracting #2: cost 131 inf + 0 225.501 * * [simplify]: Extracting #3: cost 190 inf + 206 225.503 * * [simplify]: Extracting #4: cost 175 inf + 3153 225.508 * * [simplify]: Extracting #5: cost 123 inf + 16030 225.523 * * [simplify]: Extracting #6: cost 37 inf + 67423 225.545 * * [simplify]: Extracting #7: cost 1 inf + 91923 225.572 * * [simplify]: Extracting #8: cost 0 inf + 92789 225.594 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 225.594 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 225.594 * * * * [progress]: [ 237 / 675 ] simplifiying candidate # 225.595 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 225.595 * * [simplify]: iters left: 6 (13 enodes) 225.603 * * [simplify]: iters left: 5 (52 enodes) 225.620 * * [simplify]: iters left: 4 (80 enodes) 225.645 * * [simplify]: iters left: 3 (134 enodes) 225.672 * * [simplify]: iters left: 2 (280 enodes) 225.789 * * [simplify]: Extracting #0: cost 1 inf + 0 225.789 * * [simplify]: Extracting #1: cost 58 inf + 0 225.790 * * [simplify]: Extracting #2: cost 149 inf + 1 225.792 * * [simplify]: Extracting #3: cost 190 inf + 4 225.793 * * [simplify]: Extracting #4: cost 202 inf + 11 225.796 * * [simplify]: Extracting #5: cost 178 inf + 4235 225.810 * * [simplify]: Extracting #6: cost 56 inf + 62396 225.835 * * [simplify]: Extracting #7: cost 0 inf + 92380 225.860 * * [simplify]: Extracting #8: cost 0 inf + 91980 225.885 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 225.885 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 225.886 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 225.886 * * [simplify]: iters left: 6 (13 enodes) 225.893 * * [simplify]: iters left: 5 (53 enodes) 225.911 * * [simplify]: iters left: 4 (90 enodes) 225.945 * * [simplify]: iters left: 3 (154 enodes) 225.983 * * [simplify]: iters left: 2 (332 enodes) 226.094 * * [simplify]: Extracting #0: cost 1 inf + 0 226.094 * * [simplify]: Extracting #1: cost 89 inf + 0 226.095 * * [simplify]: Extracting #2: cost 240 inf + 0 226.097 * * [simplify]: Extracting #3: cost 313 inf + 2 226.105 * * [simplify]: Extracting #4: cost 300 inf + 2125 226.111 * * [simplify]: Extracting #5: cost 243 inf + 14972 226.141 * * [simplify]: Extracting #6: cost 46 inf + 150408 226.184 * * [simplify]: Extracting #7: cost 1 inf + 179846 226.206 * * [simplify]: Extracting #8: cost 0 inf + 177955 226.236 * * [simplify]: Extracting #9: cost 0 inf + 177693 226.258 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 226.258 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 226.258 * * * * [progress]: [ 238 / 675 ] simplifiying candidate # 226.259 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt 1)) 226.259 * * [simplify]: iters left: 6 (10 enodes) 226.263 * * [simplify]: iters left: 5 (43 enodes) 226.278 * * [simplify]: iters left: 4 (71 enodes) 226.301 * * [simplify]: iters left: 3 (112 enodes) 226.339 * * [simplify]: iters left: 2 (215 enodes) 226.391 * * [simplify]: iters left: 1 (494 enodes) 226.747 * * [simplify]: Extracting #0: cost 1 inf + 0 226.747 * * [simplify]: Extracting #1: cost 56 inf + 0 226.748 * * [simplify]: Extracting #2: cost 181 inf + 3 226.750 * * [simplify]: Extracting #3: cost 241 inf + 8 226.753 * * [simplify]: Extracting #4: cost 220 inf + 2208 226.760 * * [simplify]: Extracting #5: cost 148 inf + 11358 226.777 * * [simplify]: Extracting #6: cost 77 inf + 54818 226.808 * * [simplify]: Extracting #7: cost 1 inf + 110702 226.847 * * [simplify]: Extracting #8: cost 0 inf + 110265 226.873 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 226.873 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 226.873 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 226.873 * * [simplify]: iters left: 6 (12 enodes) 226.877 * * [simplify]: iters left: 5 (50 enodes) 226.886 * * [simplify]: iters left: 4 (75 enodes) 226.899 * * [simplify]: iters left: 3 (127 enodes) 226.949 * * [simplify]: iters left: 2 (264 enodes) 227.027 * * [simplify]: Extracting #0: cost 1 inf + 0 227.027 * * [simplify]: Extracting #1: cost 50 inf + 0 227.028 * * [simplify]: Extracting #2: cost 131 inf + 0 227.029 * * [simplify]: Extracting #3: cost 190 inf + 206 227.030 * * [simplify]: Extracting #4: cost 175 inf + 3153 227.032 * * [simplify]: Extracting #5: cost 123 inf + 16030 227.040 * * [simplify]: Extracting #6: cost 37 inf + 67423 227.055 * * [simplify]: Extracting #7: cost 1 inf + 91923 227.067 * * [simplify]: Extracting #8: cost 0 inf + 92789 227.078 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 227.078 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 227.079 * * * * [progress]: [ 239 / 675 ] simplifiying candidate # 227.079 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 227.079 * * [simplify]: iters left: 6 (13 enodes) 227.084 * * [simplify]: iters left: 5 (52 enodes) 227.093 * * [simplify]: iters left: 4 (80 enodes) 227.107 * * [simplify]: iters left: 3 (134 enodes) 227.163 * * [simplify]: iters left: 2 (280 enodes) 227.280 * * [simplify]: Extracting #0: cost 1 inf + 0 227.281 * * [simplify]: Extracting #1: cost 58 inf + 0 227.281 * * [simplify]: Extracting #2: cost 149 inf + 1 227.282 * * [simplify]: Extracting #3: cost 190 inf + 4 227.283 * * [simplify]: Extracting #4: cost 202 inf + 11 227.284 * * [simplify]: Extracting #5: cost 178 inf + 4235 227.296 * * [simplify]: Extracting #6: cost 56 inf + 62396 227.321 * * [simplify]: Extracting #7: cost 0 inf + 92380 227.346 * * [simplify]: Extracting #8: cost 0 inf + 91980 227.372 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 227.372 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 227.376 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 227.376 * * [simplify]: iters left: 6 (13 enodes) 227.383 * * [simplify]: iters left: 5 (53 enodes) 227.402 * * [simplify]: iters left: 4 (90 enodes) 227.429 * * [simplify]: iters left: 3 (154 enodes) 227.462 * * [simplify]: iters left: 2 (332 enodes) 227.601 * * [simplify]: Extracting #0: cost 1 inf + 0 227.601 * * [simplify]: Extracting #1: cost 89 inf + 0 227.602 * * [simplify]: Extracting #2: cost 240 inf + 0 227.603 * * [simplify]: Extracting #3: cost 313 inf + 2 227.604 * * [simplify]: Extracting #4: cost 300 inf + 2125 227.607 * * [simplify]: Extracting #5: cost 243 inf + 14972 227.633 * * [simplify]: Extracting #6: cost 46 inf + 150408 227.655 * * [simplify]: Extracting #7: cost 1 inf + 179846 227.701 * * [simplify]: Extracting #8: cost 0 inf + 177955 227.747 * * [simplify]: Extracting #9: cost 0 inf + 177693 227.792 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 227.792 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 227.792 * * * * [progress]: [ 240 / 675 ] simplifiying candidate # 227.793 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 1) 227.793 * * [simplify]: iters left: 6 (10 enodes) 227.800 * * [simplify]: iters left: 5 (41 enodes) 227.809 * * [simplify]: iters left: 4 (69 enodes) 227.820 * * [simplify]: iters left: 3 (110 enodes) 227.848 * * [simplify]: iters left: 2 (213 enodes) 227.912 * * [simplify]: iters left: 1 (495 enodes) 228.377 * * [simplify]: Extracting #0: cost 1 inf + 0 228.378 * * [simplify]: Extracting #1: cost 57 inf + 0 228.379 * * [simplify]: Extracting #2: cost 187 inf + 3 228.380 * * [simplify]: Extracting #3: cost 249 inf + 8 228.381 * * [simplify]: Extracting #4: cost 228 inf + 2582 228.385 * * [simplify]: Extracting #5: cost 145 inf + 17440 228.403 * * [simplify]: Extracting #6: cost 55 inf + 79630 228.439 * * [simplify]: Extracting #7: cost 0 inf + 123959 228.458 * * [simplify]: Extracting #8: cost 0 inf + 118610 228.498 * * [simplify]: Extracting #9: cost 0 inf + 117206 228.536 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 228.536 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 228.537 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 228.537 * * [simplify]: iters left: 6 (12 enodes) 228.544 * * [simplify]: iters left: 5 (50 enodes) 228.563 * * [simplify]: iters left: 4 (75 enodes) 228.587 * * [simplify]: iters left: 3 (127 enodes) 228.612 * * [simplify]: iters left: 2 (264 enodes) 228.685 * * [simplify]: Extracting #0: cost 1 inf + 0 228.685 * * [simplify]: Extracting #1: cost 50 inf + 0 228.686 * * [simplify]: Extracting #2: cost 131 inf + 0 228.687 * * [simplify]: Extracting #3: cost 190 inf + 206 228.689 * * [simplify]: Extracting #4: cost 175 inf + 3153 228.694 * * [simplify]: Extracting #5: cost 123 inf + 16030 228.709 * * [simplify]: Extracting #6: cost 37 inf + 67423 228.731 * * [simplify]: Extracting #7: cost 1 inf + 91923 228.754 * * [simplify]: Extracting #8: cost 0 inf + 92789 228.776 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 228.776 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 228.776 * * * * [progress]: [ 241 / 675 ] simplifiying candidate # 228.780 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 228.780 * * [simplify]: iters left: 6 (14 enodes) 228.787 * * [simplify]: iters left: 5 (57 enodes) 228.806 * * [simplify]: iters left: 4 (99 enodes) 228.823 * * [simplify]: iters left: 3 (187 enodes) 228.883 * * [simplify]: iters left: 2 (499 enodes) 229.194 * * [simplify]: Extracting #0: cost 1 inf + 0 229.195 * * [simplify]: Extracting #1: cost 165 inf + 0 229.198 * * [simplify]: Extracting #2: cost 498 inf + 0 229.202 * * [simplify]: Extracting #3: cost 566 inf + 3 229.207 * * [simplify]: Extracting #4: cost 577 inf + 11 229.214 * * [simplify]: Extracting #5: cost 522 inf + 11987 229.241 * * [simplify]: Extracting #6: cost 253 inf + 178482 229.299 * * [simplify]: Extracting #7: cost 9 inf + 359195 229.357 * * [simplify]: Extracting #8: cost 0 inf + 358492 229.417 * * [simplify]: Extracting #9: cost 0 inf + 358230 229.480 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 229.480 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 229.481 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 229.481 * * [simplify]: iters left: 6 (14 enodes) 229.488 * * [simplify]: iters left: 5 (56 enodes) 229.505 * * [simplify]: iters left: 4 (93 enodes) 229.520 * * [simplify]: iters left: 3 (157 enodes) 229.556 * * [simplify]: iters left: 2 (335 enodes) 229.694 * * [simplify]: Extracting #0: cost 1 inf + 0 229.695 * * [simplify]: Extracting #1: cost 90 inf + 0 229.696 * * [simplify]: Extracting #2: cost 242 inf + 0 229.698 * * [simplify]: Extracting #3: cost 311 inf + 2 229.701 * * [simplify]: Extracting #4: cost 320 inf + 53 229.703 * * [simplify]: Extracting #5: cost 297 inf + 2836 229.709 * * [simplify]: Extracting #6: cost 229 inf + 21442 229.737 * * [simplify]: Extracting #7: cost 51 inf + 152140 229.779 * * [simplify]: Extracting #8: cost 1 inf + 194182 229.803 * * [simplify]: Extracting #9: cost 0 inf + 193127 229.842 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 229.842 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 229.842 * * * * [progress]: [ 242 / 675 ] simplifiying candidate # 229.843 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 229.843 * * [simplify]: iters left: 6 (15 enodes) 229.847 * * [simplify]: iters left: 5 (59 enodes) 229.857 * * [simplify]: iters left: 4 (96 enodes) 229.876 * * [simplify]: iters left: 3 (160 enodes) 229.911 * * [simplify]: iters left: 2 (338 enodes) 230.024 * * [simplify]: Extracting #0: cost 1 inf + 0 230.024 * * [simplify]: Extracting #1: cost 88 inf + 0 230.025 * * [simplify]: Extracting #2: cost 238 inf + 0 230.028 * * [simplify]: Extracting #3: cost 304 inf + 3 230.036 * * [simplify]: Extracting #4: cost 315 inf + 11 230.041 * * [simplify]: Extracting #5: cost 271 inf + 6982 230.053 * * [simplify]: Extracting #6: cost 142 inf + 78584 230.072 * * [simplify]: Extracting #7: cost 14 inf + 168344 230.105 * * [simplify]: Extracting #8: cost 0 inf + 176126 230.148 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 230.148 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 230.148 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 230.149 * * [simplify]: iters left: 6 (15 enodes) 230.157 * * [simplify]: iters left: 5 (59 enodes) 230.175 * * [simplify]: iters left: 4 (96 enodes) 230.191 * * [simplify]: iters left: 3 (164 enodes) 230.239 * * [simplify]: iters left: 2 (347 enodes) 230.408 * * [simplify]: Extracting #0: cost 1 inf + 0 230.408 * * [simplify]: Extracting #1: cost 88 inf + 0 230.409 * * [simplify]: Extracting #2: cost 243 inf + 0 230.410 * * [simplify]: Extracting #3: cost 312 inf + 2 230.411 * * [simplify]: Extracting #4: cost 324 inf + 53 230.412 * * [simplify]: Extracting #5: cost 305 inf + 1778 230.417 * * [simplify]: Extracting #6: cost 205 inf + 38599 230.437 * * [simplify]: Extracting #7: cost 26 inf + 169625 230.482 * * [simplify]: Extracting #8: cost 0 inf + 188488 230.508 * * [simplify]: Extracting #9: cost 0 inf + 187753 230.552 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 230.552 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 230.552 * * * * [progress]: [ 243 / 675 ] simplifiying candidate # 230.553 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 230.553 * * [simplify]: iters left: 6 (16 enodes) 230.561 * * [simplify]: iters left: 5 (62 enodes) 230.582 * * [simplify]: iters left: 4 (95 enodes) 230.611 * * [simplify]: iters left: 3 (164 enodes) 230.678 * * [simplify]: iters left: 2 (363 enodes) 230.822 * * [simplify]: Extracting #0: cost 1 inf + 0 230.823 * * [simplify]: Extracting #1: cost 87 inf + 0 230.824 * * [simplify]: Extracting #2: cost 238 inf + 0 230.826 * * [simplify]: Extracting #3: cost 309 inf + 3 230.828 * * [simplify]: Extracting #4: cost 322 inf + 11 230.832 * * [simplify]: Extracting #5: cost 259 inf + 16715 230.859 * * [simplify]: Extracting #6: cost 69 inf + 113716 230.890 * * [simplify]: Extracting #7: cost 0 inf + 158667 230.936 * * [simplify]: Extracting #8: cost 0 inf + 156367 230.986 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 230.986 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 230.987 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 230.987 * * [simplify]: iters left: 6 (16 enodes) 230.995 * * [simplify]: iters left: 5 (62 enodes) 231.015 * * [simplify]: iters left: 4 (99 enodes) 231.048 * * [simplify]: iters left: 3 (163 enodes) 231.080 * * [simplify]: iters left: 2 (341 enodes) 231.212 * * [simplify]: Extracting #0: cost 1 inf + 0 231.212 * * [simplify]: Extracting #1: cost 89 inf + 0 231.213 * * [simplify]: Extracting #2: cost 240 inf + 0 231.218 * * [simplify]: Extracting #3: cost 310 inf + 2 231.219 * * [simplify]: Extracting #4: cost 320 inf + 53 231.220 * * [simplify]: Extracting #5: cost 297 inf + 2399 231.226 * * [simplify]: Extracting #6: cost 181 inf + 56609 231.246 * * [simplify]: Extracting #7: cost 25 inf + 174324 231.296 * * [simplify]: Extracting #8: cost 0 inf + 194132 231.347 * * [simplify]: Extracting #9: cost 0 inf + 193307 231.399 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 231.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 231.399 * * * * [progress]: [ 244 / 675 ] simplifiying candidate # 231.399 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 231.400 * * [simplify]: iters left: 6 (12 enodes) 231.406 * * [simplify]: iters left: 5 (49 enodes) 231.422 * * [simplify]: iters left: 4 (78 enodes) 231.447 * * [simplify]: iters left: 3 (129 enodes) 231.492 * * [simplify]: iters left: 2 (250 enodes) 231.600 * * [simplify]: Extracting #0: cost 1 inf + 0 231.600 * * [simplify]: Extracting #1: cost 50 inf + 0 231.601 * * [simplify]: Extracting #2: cost 133 inf + 0 231.602 * * [simplify]: Extracting #3: cost 193 inf + 3 231.603 * * [simplify]: Extracting #4: cost 169 inf + 5895 231.609 * * [simplify]: Extracting #5: cost 64 inf + 51254 231.620 * * [simplify]: Extracting #6: cost 1 inf + 82300 231.635 * * [simplify]: Extracting #7: cost 0 inf + 81099 231.659 * * [simplify]: Extracting #8: cost 0 inf + 80557 231.681 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 231.681 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 231.682 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 231.682 * * [simplify]: iters left: 6 (13 enodes) 231.689 * * [simplify]: iters left: 5 (53 enodes) 231.703 * * [simplify]: iters left: 4 (82 enodes) 231.717 * * [simplify]: iters left: 3 (129 enodes) 231.749 * * [simplify]: iters left: 2 (245 enodes) 231.842 * * [simplify]: Extracting #0: cost 1 inf + 0 231.842 * * [simplify]: Extracting #1: cost 50 inf + 0 231.842 * * [simplify]: Extracting #2: cost 132 inf + 0 231.843 * * [simplify]: Extracting #3: cost 196 inf + 2 231.844 * * [simplify]: Extracting #4: cost 179 inf + 2904 231.847 * * [simplify]: Extracting #5: cost 129 inf + 13116 231.860 * * [simplify]: Extracting #6: cost 48 inf + 60547 231.881 * * [simplify]: Extracting #7: cost 4 inf + 95366 231.899 * * [simplify]: Extracting #8: cost 0 inf + 97062 231.911 * * [simplify]: Extracting #9: cost 0 inf + 96538 231.925 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 231.925 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 231.925 * * * * [progress]: [ 245 / 675 ] simplifiying candidate # 231.925 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 231.926 * * [simplify]: iters left: 6 (14 enodes) 231.936 * * [simplify]: iters left: 5 (55 enodes) 231.954 * * [simplify]: iters left: 4 (87 enodes) 231.968 * * [simplify]: iters left: 3 (146 enodes) 232.007 * * [simplify]: iters left: 2 (316 enodes) 232.170 * * [simplify]: Extracting #0: cost 1 inf + 0 232.170 * * [simplify]: Extracting #1: cost 71 inf + 0 232.171 * * [simplify]: Extracting #2: cost 156 inf + 1 232.173 * * [simplify]: Extracting #3: cost 198 inf + 4 232.175 * * [simplify]: Extracting #4: cost 210 inf + 11 232.177 * * [simplify]: Extracting #5: cost 178 inf + 4809 232.192 * * [simplify]: Extracting #6: cost 52 inf + 56583 232.209 * * [simplify]: Extracting #7: cost 1 inf + 83761 232.235 * * [simplify]: Extracting #8: cost 0 inf + 83978 232.259 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 232.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 232.259 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 232.259 * * [simplify]: iters left: 6 (13 enodes) 232.263 * * [simplify]: iters left: 5 (53 enodes) 232.281 * * [simplify]: iters left: 4 (90 enodes) 232.305 * * [simplify]: iters left: 3 (154 enodes) 232.343 * * [simplify]: iters left: 2 (332 enodes) 232.490 * * [simplify]: Extracting #0: cost 1 inf + 0 232.491 * * [simplify]: Extracting #1: cost 89 inf + 0 232.492 * * [simplify]: Extracting #2: cost 239 inf + 0 232.493 * * [simplify]: Extracting #3: cost 312 inf + 2 232.496 * * [simplify]: Extracting #4: cost 298 inf + 2814 232.501 * * [simplify]: Extracting #5: cost 250 inf + 12246 232.513 * * [simplify]: Extracting #6: cost 118 inf + 90187 232.533 * * [simplify]: Extracting #7: cost 4 inf + 176281 232.566 * * [simplify]: Extracting #8: cost 0 inf + 177118 232.611 * * [simplify]: Extracting #9: cost 0 inf + 176987 232.656 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 232.656 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 232.656 * * * * [progress]: [ 246 / 675 ] simplifiying candidate # 232.657 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 232.657 * * [simplify]: iters left: 6 (12 enodes) 232.663 * * [simplify]: iters left: 5 (49 enodes) 232.680 * * [simplify]: iters left: 4 (78 enodes) 232.696 * * [simplify]: iters left: 3 (129 enodes) 232.722 * * [simplify]: iters left: 2 (250 enodes) 232.828 * * [simplify]: Extracting #0: cost 1 inf + 0 232.828 * * [simplify]: Extracting #1: cost 50 inf + 0 232.828 * * [simplify]: Extracting #2: cost 133 inf + 0 232.829 * * [simplify]: Extracting #3: cost 193 inf + 3 232.832 * * [simplify]: Extracting #4: cost 169 inf + 5895 232.840 * * [simplify]: Extracting #5: cost 64 inf + 51254 232.851 * * [simplify]: Extracting #6: cost 1 inf + 82300 232.865 * * [simplify]: Extracting #7: cost 0 inf + 81099 232.887 * * [simplify]: Extracting #8: cost 0 inf + 80557 232.898 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 232.898 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 232.899 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 232.899 * * [simplify]: iters left: 6 (13 enodes) 232.903 * * [simplify]: iters left: 5 (53 enodes) 232.912 * * [simplify]: iters left: 4 (82 enodes) 232.928 * * [simplify]: iters left: 3 (129 enodes) 232.958 * * [simplify]: iters left: 2 (245 enodes) 233.029 * * [simplify]: Extracting #0: cost 1 inf + 0 233.029 * * [simplify]: Extracting #1: cost 50 inf + 0 233.030 * * [simplify]: Extracting #2: cost 132 inf + 0 233.030 * * [simplify]: Extracting #3: cost 196 inf + 2 233.031 * * [simplify]: Extracting #4: cost 179 inf + 2904 233.034 * * [simplify]: Extracting #5: cost 129 inf + 13116 233.040 * * [simplify]: Extracting #6: cost 48 inf + 60547 233.050 * * [simplify]: Extracting #7: cost 4 inf + 95366 233.063 * * [simplify]: Extracting #8: cost 0 inf + 97062 233.086 * * [simplify]: Extracting #9: cost 0 inf + 96538 233.111 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 233.111 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 233.111 * * * * [progress]: [ 247 / 675 ] simplifiying candidate # 233.111 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 233.111 * * [simplify]: iters left: 6 (13 enodes) 233.125 * * [simplify]: iters left: 5 (52 enodes) 233.142 * * [simplify]: iters left: 4 (84 enodes) 233.169 * * [simplify]: iters left: 3 (141 enodes) 233.203 * * [simplify]: iters left: 2 (308 enodes) 233.357 * * [simplify]: Extracting #0: cost 1 inf + 0 233.357 * * [simplify]: Extracting #1: cost 70 inf + 0 233.358 * * [simplify]: Extracting #2: cost 182 inf + 1 233.359 * * [simplify]: Extracting #3: cost 223 inf + 4 233.360 * * [simplify]: Extracting #4: cost 235 inf + 11 233.361 * * [simplify]: Extracting #5: cost 196 inf + 6312 233.370 * * [simplify]: Extracting #6: cost 56 inf + 71698 233.395 * * [simplify]: Extracting #7: cost 1 inf + 102854 233.419 * * [simplify]: Extracting #8: cost 0 inf + 101598 233.448 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 233.448 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 233.448 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 233.448 * * [simplify]: iters left: 6 (13 enodes) 233.452 * * [simplify]: iters left: 5 (53 enodes) 233.462 * * [simplify]: iters left: 4 (90 enodes) 233.477 * * [simplify]: iters left: 3 (154 enodes) 233.523 * * [simplify]: iters left: 2 (332 enodes) 233.669 * * [simplify]: Extracting #0: cost 1 inf + 0 233.669 * * [simplify]: Extracting #1: cost 89 inf + 0 233.670 * * [simplify]: Extracting #2: cost 239 inf + 0 233.671 * * [simplify]: Extracting #3: cost 312 inf + 2 233.672 * * [simplify]: Extracting #4: cost 298 inf + 2814 233.675 * * [simplify]: Extracting #5: cost 250 inf + 12246 233.685 * * [simplify]: Extracting #6: cost 118 inf + 90187 233.716 * * [simplify]: Extracting #7: cost 4 inf + 176281 233.766 * * [simplify]: Extracting #8: cost 0 inf + 177118 233.811 * * [simplify]: Extracting #9: cost 0 inf + 176987 233.856 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 233.857 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 233.857 * * * * [progress]: [ 248 / 675 ] simplifiying candidate # 233.857 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 233.857 * * [simplify]: iters left: 6 (12 enodes) 233.861 * * [simplify]: iters left: 5 (49 enodes) 233.870 * * [simplify]: iters left: 4 (78 enodes) 233.885 * * [simplify]: iters left: 3 (129 enodes) 233.924 * * [simplify]: iters left: 2 (250 enodes) 234.004 * * [simplify]: Extracting #0: cost 1 inf + 0 234.004 * * [simplify]: Extracting #1: cost 50 inf + 0 234.005 * * [simplify]: Extracting #2: cost 133 inf + 0 234.006 * * [simplify]: Extracting #3: cost 193 inf + 3 234.008 * * [simplify]: Extracting #4: cost 169 inf + 5895 234.019 * * [simplify]: Extracting #5: cost 64 inf + 51254 234.042 * * [simplify]: Extracting #6: cost 1 inf + 82300 234.060 * * [simplify]: Extracting #7: cost 0 inf + 81099 234.072 * * [simplify]: Extracting #8: cost 0 inf + 80557 234.083 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 234.083 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 234.084 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 234.084 * * [simplify]: iters left: 6 (13 enodes) 234.087 * * [simplify]: iters left: 5 (53 enodes) 234.101 * * [simplify]: iters left: 4 (82 enodes) 234.114 * * [simplify]: iters left: 3 (129 enodes) 234.151 * * [simplify]: iters left: 2 (245 enodes) 234.223 * * [simplify]: Extracting #0: cost 1 inf + 0 234.223 * * [simplify]: Extracting #1: cost 50 inf + 0 234.224 * * [simplify]: Extracting #2: cost 132 inf + 0 234.224 * * [simplify]: Extracting #3: cost 196 inf + 2 234.225 * * [simplify]: Extracting #4: cost 179 inf + 2904 234.228 * * [simplify]: Extracting #5: cost 129 inf + 13116 234.234 * * [simplify]: Extracting #6: cost 48 inf + 60547 234.251 * * [simplify]: Extracting #7: cost 4 inf + 95366 234.270 * * [simplify]: Extracting #8: cost 0 inf + 97062 234.282 * * [simplify]: Extracting #9: cost 0 inf + 96538 234.297 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 234.298 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 234.298 * * * * [progress]: [ 249 / 675 ] simplifiying candidate # 234.298 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 1) 234.298 * * [simplify]: iters left: 6 (12 enodes) 234.305 * * [simplify]: iters left: 5 (47 enodes) 234.321 * * [simplify]: iters left: 4 (80 enodes) 234.348 * * [simplify]: iters left: 3 (145 enodes) 234.381 * * [simplify]: iters left: 2 (337 enodes) 234.573 * * [simplify]: Extracting #0: cost 1 inf + 0 234.574 * * [simplify]: Extracting #1: cost 69 inf + 0 234.574 * * [simplify]: Extracting #2: cost 185 inf + 1 234.575 * * [simplify]: Extracting #3: cost 227 inf + 4 234.576 * * [simplify]: Extracting #4: cost 238 inf + 11 234.577 * * [simplify]: Extracting #5: cost 205 inf + 4926 234.582 * * [simplify]: Extracting #6: cost 120 inf + 40294 234.603 * * [simplify]: Extracting #7: cost 38 inf + 95276 234.626 * * [simplify]: Extracting #8: cost 0 inf + 119183 234.644 * * [simplify]: Extracting #9: cost 0 inf + 117713 234.663 * * [simplify]: Extracting #10: cost 0 inf + 117451 234.680 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 234.680 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 234.681 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 234.681 * * [simplify]: iters left: 6 (13 enodes) 234.685 * * [simplify]: iters left: 5 (53 enodes) 234.697 * * [simplify]: iters left: 4 (90 enodes) 234.717 * * [simplify]: iters left: 3 (154 enodes) 234.760 * * [simplify]: iters left: 2 (332 enodes) 234.932 * * [simplify]: Extracting #0: cost 1 inf + 0 234.932 * * [simplify]: Extracting #1: cost 89 inf + 0 234.934 * * [simplify]: Extracting #2: cost 239 inf + 0 234.935 * * [simplify]: Extracting #3: cost 312 inf + 2 234.938 * * [simplify]: Extracting #4: cost 298 inf + 2814 234.941 * * [simplify]: Extracting #5: cost 250 inf + 12246 234.951 * * [simplify]: Extracting #6: cost 118 inf + 90187 234.975 * * [simplify]: Extracting #7: cost 4 inf + 176281 235.025 * * [simplify]: Extracting #8: cost 0 inf + 177118 235.049 * * [simplify]: Extracting #9: cost 0 inf + 176987 235.087 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 235.088 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 235.088 * * * * [progress]: [ 250 / 675 ] simplifiying candidate # 235.088 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 235.089 * * [simplify]: iters left: 6 (13 enodes) 235.096 * * [simplify]: iters left: 5 (52 enodes) 235.115 * * [simplify]: iters left: 4 (94 enodes) 235.145 * * [simplify]: iters left: 3 (194 enodes) 235.207 * * [simplify]: iters left: 2 (478 enodes) 235.647 * * [simplify]: Extracting #0: cost 1 inf + 0 235.648 * * [simplify]: Extracting #1: cost 104 inf + 0 235.653 * * [simplify]: Extracting #2: cost 327 inf + 1 235.655 * * [simplify]: Extracting #3: cost 369 inf + 4 235.656 * * [simplify]: Extracting #4: cost 379 inf + 11 235.660 * * [simplify]: Extracting #5: cost 301 inf + 22738 235.682 * * [simplify]: Extracting #6: cost 160 inf + 103082 235.745 * * [simplify]: Extracting #7: cost 15 inf + 216376 235.784 * * [simplify]: Extracting #8: cost 0 inf + 226237 235.822 * * [simplify]: Extracting #9: cost 0 inf + 226157 235.887 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 235.887 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 235.887 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 235.887 * * [simplify]: iters left: 6 (13 enodes) 235.892 * * [simplify]: iters left: 5 (53 enodes) 235.901 * * [simplify]: iters left: 4 (90 enodes) 235.916 * * [simplify]: iters left: 3 (154 enodes) 235.946 * * [simplify]: iters left: 2 (332 enodes) 236.085 * * [simplify]: Extracting #0: cost 1 inf + 0 236.085 * * [simplify]: Extracting #1: cost 89 inf + 0 236.086 * * [simplify]: Extracting #2: cost 240 inf + 0 236.087 * * [simplify]: Extracting #3: cost 313 inf + 2 236.088 * * [simplify]: Extracting #4: cost 300 inf + 2125 236.091 * * [simplify]: Extracting #5: cost 243 inf + 15252 236.111 * * [simplify]: Extracting #6: cost 46 inf + 154248 236.154 * * [simplify]: Extracting #7: cost 1 inf + 184886 236.179 * * [simplify]: Extracting #8: cost 0 inf + 183035 236.221 * * [simplify]: Extracting #9: cost 0 inf + 182773 236.254 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 236.254 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 236.254 * * * * [progress]: [ 251 / 675 ] simplifiying candidate # 236.255 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 236.255 * * [simplify]: iters left: 6 (13 enodes) 236.259 * * [simplify]: iters left: 5 (51 enodes) 236.268 * * [simplify]: iters left: 4 (85 enodes) 236.295 * * [simplify]: iters left: 3 (152 enodes) 236.342 * * [simplify]: iters left: 2 (340 enodes) 236.530 * * [simplify]: Extracting #0: cost 1 inf + 0 236.530 * * [simplify]: Extracting #1: cost 65 inf + 0 236.531 * * [simplify]: Extracting #2: cost 196 inf + 1 236.532 * * [simplify]: Extracting #3: cost 242 inf + 4 236.533 * * [simplify]: Extracting #4: cost 252 inf + 11 236.534 * * [simplify]: Extracting #5: cost 232 inf + 3061 236.538 * * [simplify]: Extracting #6: cost 159 inf + 21792 236.550 * * [simplify]: Extracting #7: cost 31 inf + 104687 236.592 * * [simplify]: Extracting #8: cost 0 inf + 129500 236.616 * * [simplify]: Extracting #9: cost 0 inf + 128996 236.640 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 236.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 236.641 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 236.641 * * [simplify]: iters left: 6 (14 enodes) 236.649 * * [simplify]: iters left: 5 (56 enodes) 236.667 * * [simplify]: iters left: 4 (93 enodes) 236.685 * * [simplify]: iters left: 3 (157 enodes) 236.723 * * [simplify]: iters left: 2 (335 enodes) 236.844 * * [simplify]: Extracting #0: cost 1 inf + 0 236.844 * * [simplify]: Extracting #1: cost 90 inf + 0 236.846 * * [simplify]: Extracting #2: cost 242 inf + 0 236.848 * * [simplify]: Extracting #3: cost 312 inf + 2 236.850 * * [simplify]: Extracting #4: cost 309 inf + 787 236.856 * * [simplify]: Extracting #5: cost 237 inf + 23661 236.892 * * [simplify]: Extracting #6: cost 44 inf + 154087 236.916 * * [simplify]: Extracting #7: cost 0 inf + 187878 236.957 * * [simplify]: Extracting #8: cost 0 inf + 187202 237.005 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 237.006 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 237.006 * * * * [progress]: [ 252 / 675 ] simplifiying candidate # 237.006 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 237.007 * * [simplify]: iters left: 6 (13 enodes) 237.014 * * [simplify]: iters left: 5 (51 enodes) 237.031 * * [simplify]: iters left: 4 (85 enodes) 237.050 * * [simplify]: iters left: 3 (152 enodes) 237.092 * * [simplify]: iters left: 2 (340 enodes) 237.291 * * [simplify]: Extracting #0: cost 1 inf + 0 237.291 * * [simplify]: Extracting #1: cost 65 inf + 0 237.292 * * [simplify]: Extracting #2: cost 195 inf + 1 237.294 * * [simplify]: Extracting #3: cost 241 inf + 4 237.296 * * [simplify]: Extracting #4: cost 252 inf + 11 237.299 * * [simplify]: Extracting #5: cost 231 inf + 3222 237.306 * * [simplify]: Extracting #6: cost 158 inf + 21953 237.330 * * [simplify]: Extracting #7: cost 31 inf + 104687 237.365 * * [simplify]: Extracting #8: cost 0 inf + 129500 237.384 * * [simplify]: Extracting #9: cost 0 inf + 128996 237.417 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 237.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 237.418 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 237.418 * * [simplify]: iters left: 6 (15 enodes) 237.422 * * [simplify]: iters left: 5 (59 enodes) 237.433 * * [simplify]: iters left: 4 (96 enodes) 237.448 * * [simplify]: iters left: 3 (164 enodes) 237.490 * * [simplify]: iters left: 2 (347 enodes) 237.634 * * [simplify]: Extracting #0: cost 1 inf + 0 237.634 * * [simplify]: Extracting #1: cost 88 inf + 0 237.635 * * [simplify]: Extracting #2: cost 243 inf + 0 237.638 * * [simplify]: Extracting #3: cost 313 inf + 2 237.641 * * [simplify]: Extracting #4: cost 298 inf + 3266 237.650 * * [simplify]: Extracting #5: cost 200 inf + 42070 237.677 * * [simplify]: Extracting #6: cost 28 inf + 163627 237.712 * * [simplify]: Extracting #7: cost 0 inf + 185610 237.738 * * [simplify]: Extracting #8: cost 0 inf + 185413 237.777 * [simplify]: Simplified to (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 237.777 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 237.777 * * * * [progress]: [ 253 / 675 ] simplifiying candidate # 237.778 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (sqrt k)))) 237.778 * * [simplify]: iters left: 6 (12 enodes) 237.781 * * [simplify]: iters left: 5 (47 enodes) 237.790 * * [simplify]: iters left: 4 (81 enodes) 237.806 * * [simplify]: iters left: 3 (152 enodes) 237.860 * * [simplify]: iters left: 2 (341 enodes) 238.035 * * [simplify]: Extracting #0: cost 1 inf + 0 238.035 * * [simplify]: Extracting #1: cost 67 inf + 0 238.037 * * [simplify]: Extracting #2: cost 189 inf + 1 238.038 * * [simplify]: Extracting #3: cost 233 inf + 4 238.041 * * [simplify]: Extracting #4: cost 244 inf + 11 238.044 * * [simplify]: Extracting #5: cost 202 inf + 7514 238.066 * * [simplify]: Extracting #6: cost 27 inf + 89273 238.110 * * [simplify]: Extracting #7: cost 0 inf + 103817 238.149 * * [simplify]: Extracting #8: cost 0 inf + 102784 238.187 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 238.188 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 238.188 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 238.188 * * [simplify]: iters left: 6 (13 enodes) 238.196 * * [simplify]: iters left: 5 (53 enodes) 238.214 * * [simplify]: iters left: 4 (90 enodes) 238.243 * * [simplify]: iters left: 3 (154 enodes) 238.304 * * [simplify]: iters left: 2 (332 enodes) 238.446 * * [simplify]: Extracting #0: cost 1 inf + 0 238.446 * * [simplify]: Extracting #1: cost 89 inf + 0 238.447 * * [simplify]: Extracting #2: cost 240 inf + 0 238.448 * * [simplify]: Extracting #3: cost 313 inf + 2 238.450 * * [simplify]: Extracting #4: cost 300 inf + 2125 238.453 * * [simplify]: Extracting #5: cost 243 inf + 14972 238.468 * * [simplify]: Extracting #6: cost 46 inf + 150408 238.494 * * [simplify]: Extracting #7: cost 1 inf + 179846 238.517 * * [simplify]: Extracting #8: cost 0 inf + 177955 238.540 * * [simplify]: Extracting #9: cost 0 inf + 177693 238.585 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 238.585 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 238.586 * * * * [progress]: [ 254 / 675 ] simplifiying candidate # 238.586 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt 1))) 238.586 * * [simplify]: iters left: 6 (11 enodes) 238.595 * * [simplify]: iters left: 5 (44 enodes) 238.609 * * [simplify]: iters left: 4 (71 enodes) 238.630 * * [simplify]: iters left: 3 (112 enodes) 238.669 * * [simplify]: iters left: 2 (215 enodes) 238.765 * * [simplify]: iters left: 1 (496 enodes) 239.136 * * [simplify]: Extracting #0: cost 1 inf + 0 239.136 * * [simplify]: Extracting #1: cost 60 inf + 0 239.138 * * [simplify]: Extracting #2: cost 191 inf + 3 239.139 * * [simplify]: Extracting #3: cost 254 inf + 8 239.142 * * [simplify]: Extracting #4: cost 241 inf + 1381 239.149 * * [simplify]: Extracting #5: cost 157 inf + 11471 239.166 * * [simplify]: Extracting #6: cost 71 inf + 66670 239.199 * * [simplify]: Extracting #7: cost 0 inf + 123831 239.233 * * [simplify]: Extracting #8: cost 0 inf + 122776 239.263 * * [simplify]: Extracting #9: cost 0 inf + 122557 239.280 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 239.280 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 239.281 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 239.281 * * [simplify]: iters left: 6 (12 enodes) 239.286 * * [simplify]: iters left: 5 (50 enodes) 239.301 * * [simplify]: iters left: 4 (75 enodes) 239.314 * * [simplify]: iters left: 3 (127 enodes) 239.358 * * [simplify]: iters left: 2 (264 enodes) 239.470 * * [simplify]: Extracting #0: cost 1 inf + 0 239.471 * * [simplify]: Extracting #1: cost 50 inf + 0 239.471 * * [simplify]: Extracting #2: cost 131 inf + 0 239.473 * * [simplify]: Extracting #3: cost 190 inf + 206 239.475 * * [simplify]: Extracting #4: cost 175 inf + 3153 239.480 * * [simplify]: Extracting #5: cost 123 inf + 16030 239.494 * * [simplify]: Extracting #6: cost 37 inf + 67423 239.520 * * [simplify]: Extracting #7: cost 1 inf + 91923 239.544 * * [simplify]: Extracting #8: cost 0 inf + 92789 239.566 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 239.566 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 239.566 * * * * [progress]: [ 255 / 675 ] simplifiying candidate # 239.567 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (sqrt k)))) 239.567 * * [simplify]: iters left: 6 (12 enodes) 239.574 * * [simplify]: iters left: 5 (47 enodes) 239.590 * * [simplify]: iters left: 4 (81 enodes) 239.611 * * [simplify]: iters left: 3 (152 enodes) 239.657 * * [simplify]: iters left: 2 (341 enodes) 239.823 * * [simplify]: Extracting #0: cost 1 inf + 0 239.824 * * [simplify]: Extracting #1: cost 67 inf + 0 239.824 * * [simplify]: Extracting #2: cost 189 inf + 1 239.825 * * [simplify]: Extracting #3: cost 233 inf + 4 239.828 * * [simplify]: Extracting #4: cost 244 inf + 11 239.831 * * [simplify]: Extracting #5: cost 202 inf + 7514 239.854 * * [simplify]: Extracting #6: cost 27 inf + 89273 239.893 * * [simplify]: Extracting #7: cost 0 inf + 103817 239.931 * * [simplify]: Extracting #8: cost 0 inf + 102784 239.950 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 239.950 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 239.951 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 239.951 * * [simplify]: iters left: 6 (13 enodes) 239.954 * * [simplify]: iters left: 5 (53 enodes) 239.964 * * [simplify]: iters left: 4 (90 enodes) 239.979 * * [simplify]: iters left: 3 (154 enodes) 240.030 * * [simplify]: iters left: 2 (332 enodes) 240.174 * * [simplify]: Extracting #0: cost 1 inf + 0 240.174 * * [simplify]: Extracting #1: cost 89 inf + 0 240.175 * * [simplify]: Extracting #2: cost 240 inf + 0 240.177 * * [simplify]: Extracting #3: cost 313 inf + 2 240.180 * * [simplify]: Extracting #4: cost 300 inf + 2125 240.185 * * [simplify]: Extracting #5: cost 243 inf + 14972 240.203 * * [simplify]: Extracting #6: cost 46 inf + 150408 240.228 * * [simplify]: Extracting #7: cost 1 inf + 179846 240.270 * * [simplify]: Extracting #8: cost 0 inf + 177955 240.297 * * [simplify]: Extracting #9: cost 0 inf + 177693 240.331 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 240.331 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 240.331 * * * * [progress]: [ 256 / 675 ] simplifiying candidate # 240.331 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt 1)) 240.331 * * [simplify]: iters left: 6 (10 enodes) 240.335 * * [simplify]: iters left: 5 (41 enodes) 240.341 * * [simplify]: iters left: 4 (68 enodes) 240.354 * * [simplify]: iters left: 3 (109 enodes) 240.388 * * [simplify]: iters left: 2 (212 enodes) 240.487 * * [simplify]: iters left: 1 (496 enodes) 240.951 * * [simplify]: Extracting #0: cost 1 inf + 0 240.951 * * [simplify]: Extracting #1: cost 60 inf + 0 240.952 * * [simplify]: Extracting #2: cost 189 inf + 3 240.954 * * [simplify]: Extracting #3: cost 251 inf + 8 240.958 * * [simplify]: Extracting #4: cost 227 inf + 6395 240.969 * * [simplify]: Extracting #5: cost 133 inf + 29178 241.004 * * [simplify]: Extracting #6: cost 35 inf + 98427 241.040 * * [simplify]: Extracting #7: cost 1 inf + 121834 241.068 * * [simplify]: Extracting #8: cost 0 inf + 120174 241.092 * * [simplify]: Extracting #9: cost 0 inf + 120014 241.125 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 241.126 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 241.126 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 241.126 * * [simplify]: iters left: 6 (12 enodes) 241.133 * * [simplify]: iters left: 5 (50 enodes) 241.150 * * [simplify]: iters left: 4 (75 enodes) 241.175 * * [simplify]: iters left: 3 (127 enodes) 241.227 * * [simplify]: iters left: 2 (264 enodes) 241.302 * * [simplify]: Extracting #0: cost 1 inf + 0 241.302 * * [simplify]: Extracting #1: cost 50 inf + 0 241.303 * * [simplify]: Extracting #2: cost 131 inf + 0 241.304 * * [simplify]: Extracting #3: cost 190 inf + 206 241.306 * * [simplify]: Extracting #4: cost 175 inf + 3153 241.311 * * [simplify]: Extracting #5: cost 123 inf + 16030 241.329 * * [simplify]: Extracting #6: cost 37 inf + 67423 241.352 * * [simplify]: Extracting #7: cost 1 inf + 91923 241.374 * * [simplify]: Extracting #8: cost 0 inf + 92789 241.396 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 241.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 241.397 * * * * [progress]: [ 257 / 675 ] simplifiying candidate # 241.397 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) (sqrt (sqrt (sqrt k)))) 241.397 * * [simplify]: iters left: 6 (12 enodes) 241.404 * * [simplify]: iters left: 5 (47 enodes) 241.416 * * [simplify]: iters left: 4 (81 enodes) 241.431 * * [simplify]: iters left: 3 (152 enodes) 241.475 * * [simplify]: iters left: 2 (341 enodes) 241.652 * * [simplify]: Extracting #0: cost 1 inf + 0 241.653 * * [simplify]: Extracting #1: cost 67 inf + 0 241.654 * * [simplify]: Extracting #2: cost 189 inf + 1 241.656 * * [simplify]: Extracting #3: cost 233 inf + 4 241.658 * * [simplify]: Extracting #4: cost 244 inf + 11 241.662 * * [simplify]: Extracting #5: cost 202 inf + 7514 241.685 * * [simplify]: Extracting #6: cost 27 inf + 89273 241.713 * * [simplify]: Extracting #7: cost 0 inf + 103817 241.742 * * [simplify]: Extracting #8: cost 0 inf + 102784 241.780 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 241.780 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 241.781 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 241.781 * * [simplify]: iters left: 6 (13 enodes) 241.788 * * [simplify]: iters left: 5 (53 enodes) 241.806 * * [simplify]: iters left: 4 (90 enodes) 241.835 * * [simplify]: iters left: 3 (154 enodes) 241.895 * * [simplify]: iters left: 2 (332 enodes) 242.025 * * [simplify]: Extracting #0: cost 1 inf + 0 242.025 * * [simplify]: Extracting #1: cost 89 inf + 0 242.026 * * [simplify]: Extracting #2: cost 240 inf + 0 242.027 * * [simplify]: Extracting #3: cost 313 inf + 2 242.028 * * [simplify]: Extracting #4: cost 300 inf + 2125 242.031 * * [simplify]: Extracting #5: cost 243 inf + 14972 242.056 * * [simplify]: Extracting #6: cost 46 inf + 150408 242.105 * * [simplify]: Extracting #7: cost 1 inf + 179846 242.128 * * [simplify]: Extracting #8: cost 0 inf + 177955 242.158 * * [simplify]: Extracting #9: cost 0 inf + 177693 242.184 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 242.184 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 242.184 * * * * [progress]: [ 258 / 675 ] simplifiying candidate # 242.185 * [simplify]: Simplifying (/ (/ (pow n (/ (- 1 k) 2)) 1) 1) 242.185 * * [simplify]: iters left: 6 (9 enodes) 242.191 * * [simplify]: iters left: 5 (34 enodes) 242.207 * * [simplify]: iters left: 4 (63 enodes) 242.221 * * [simplify]: iters left: 3 (104 enodes) 242.241 * * [simplify]: iters left: 2 (206 enodes) 242.303 * * [simplify]: iters left: 1 (460 enodes) 242.619 * * [simplify]: Extracting #0: cost 1 inf + 0 242.620 * * [simplify]: Extracting #1: cost 50 inf + 0 242.621 * * [simplify]: Extracting #2: cost 172 inf + 3 242.623 * * [simplify]: Extracting #3: cost 231 inf + 8 242.626 * * [simplify]: Extracting #4: cost 198 inf + 4402 242.634 * * [simplify]: Extracting #5: cost 119 inf + 26558 242.661 * * [simplify]: Extracting #6: cost 18 inf + 98664 242.686 * * [simplify]: Extracting #7: cost 0 inf + 111272 242.708 * * [simplify]: Extracting #8: cost 0 inf + 109217 242.736 * * [simplify]: Extracting #9: cost 0 inf + 106849 242.757 * * [simplify]: Extracting #10: cost 0 inf + 106667 242.784 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 242.784 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 242.784 * [simplify]: Simplifying (/ (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 242.784 * * [simplify]: iters left: 6 (12 enodes) 242.788 * * [simplify]: iters left: 5 (50 enodes) 242.796 * * [simplify]: iters left: 4 (75 enodes) 242.812 * * [simplify]: iters left: 3 (127 enodes) 242.854 * * [simplify]: iters left: 2 (264 enodes) 242.933 * * [simplify]: Extracting #0: cost 1 inf + 0 242.933 * * [simplify]: Extracting #1: cost 50 inf + 0 242.933 * * [simplify]: Extracting #2: cost 131 inf + 0 242.934 * * [simplify]: Extracting #3: cost 190 inf + 206 242.935 * * [simplify]: Extracting #4: cost 175 inf + 3153 242.937 * * [simplify]: Extracting #5: cost 123 inf + 16030 242.944 * * [simplify]: Extracting #6: cost 37 inf + 67423 242.962 * * [simplify]: Extracting #7: cost 1 inf + 91923 242.975 * * [simplify]: Extracting #8: cost 0 inf + 92789 242.986 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 242.986 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 242.986 * * * * [progress]: [ 259 / 675 ] simplifiying candidate # 242.987 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 242.987 * * [simplify]: iters left: 6 (18 enodes) 242.992 * * [simplify]: iters left: 5 (79 enodes) 243.020 * * [simplify]: iters left: 4 (146 enodes) 243.048 * * [simplify]: iters left: 3 (233 enodes) 243.107 * * [simplify]: iters left: 2 (371 enodes) 243.196 * * [simplify]: Extracting #0: cost 1 inf + 0 243.196 * * [simplify]: Extracting #1: cost 23 inf + 0 243.196 * * [simplify]: Extracting #2: cost 52 inf + 0 243.197 * * [simplify]: Extracting #3: cost 63 inf + 3 243.197 * * [simplify]: Extracting #4: cost 113 inf + 5 243.197 * * [simplify]: Extracting #5: cost 140 inf + 923 243.200 * * [simplify]: Extracting #6: cost 71 inf + 21269 243.209 * * [simplify]: Extracting #7: cost 11 inf + 48421 243.226 * * [simplify]: Extracting #8: cost 1 inf + 54209 243.244 * * [simplify]: Extracting #9: cost 0 inf + 54876 243.260 * * [simplify]: Extracting #10: cost 0 inf + 54834 243.276 * [simplify]: Simplified to (/ (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 243.277 * [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))))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 243.277 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 243.277 * * [simplify]: iters left: 6 (16 enodes) 243.286 * * [simplify]: iters left: 5 (65 enodes) 243.308 * * [simplify]: iters left: 4 (100 enodes) 243.340 * * [simplify]: iters left: 3 (139 enodes) 243.379 * * [simplify]: iters left: 2 (219 enodes) 243.435 * * [simplify]: iters left: 1 (399 enodes) 243.641 * * [simplify]: Extracting #0: cost 1 inf + 0 243.641 * * [simplify]: Extracting #1: cost 6 inf + 0 243.641 * * [simplify]: Extracting #2: cost 12 inf + 0 243.641 * * [simplify]: Extracting #3: cost 44 inf + 0 243.642 * * [simplify]: Extracting #4: cost 127 inf + 1 243.642 * * [simplify]: Extracting #5: cost 171 inf + 760 243.644 * * [simplify]: Extracting #6: cost 122 inf + 9148 243.649 * * [simplify]: Extracting #7: cost 56 inf + 30507 243.667 * * [simplify]: Extracting #8: cost 9 inf + 69776 243.687 * * [simplify]: Extracting #9: cost 0 inf + 76059 243.699 * * [simplify]: Extracting #10: cost 0 inf + 73869 243.713 * * [simplify]: Extracting #11: cost 0 inf + 73698 243.737 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 243.737 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 243.737 * * * * [progress]: [ 260 / 675 ] simplifiying candidate # 243.738 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 243.738 * * [simplify]: iters left: 6 (21 enodes) 243.744 * * [simplify]: iters left: 5 (87 enodes) 243.758 * * [simplify]: iters left: 4 (151 enodes) 243.784 * * [simplify]: iters left: 3 (234 enodes) 243.824 * * [simplify]: iters left: 2 (361 enodes) 243.918 * * [simplify]: Extracting #0: cost 1 inf + 0 243.919 * * [simplify]: Extracting #1: cost 23 inf + 0 243.919 * * [simplify]: Extracting #2: cost 48 inf + 0 243.919 * * [simplify]: Extracting #3: cost 64 inf + 0 243.920 * * [simplify]: Extracting #4: cost 112 inf + 1 243.921 * * [simplify]: Extracting #5: cost 139 inf + 425 243.924 * * [simplify]: Extracting #6: cost 91 inf + 7458 243.935 * * [simplify]: Extracting #7: cost 23 inf + 38559 243.951 * * [simplify]: Extracting #8: cost 0 inf + 52478 243.971 * * [simplify]: Extracting #9: cost 0 inf + 52268 243.983 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 243.983 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 243.983 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 243.983 * * [simplify]: iters left: 6 (18 enodes) 243.988 * * [simplify]: iters left: 5 (71 enodes) 244.000 * * [simplify]: iters left: 4 (109 enodes) 244.018 * * [simplify]: iters left: 3 (153 enodes) 244.059 * * [simplify]: iters left: 2 (234 enodes) 244.118 * * [simplify]: iters left: 1 (413 enodes) 244.292 * * [simplify]: Extracting #0: cost 1 inf + 0 244.292 * * [simplify]: Extracting #1: cost 8 inf + 0 244.292 * * [simplify]: Extracting #2: cost 17 inf + 0 244.292 * * [simplify]: Extracting #3: cost 48 inf + 0 244.292 * * [simplify]: Extracting #4: cost 127 inf + 1 244.293 * * [simplify]: Extracting #5: cost 177 inf + 1176 244.295 * * [simplify]: Extracting #6: cost 116 inf + 12763 244.300 * * [simplify]: Extracting #7: cost 40 inf + 36654 244.309 * * [simplify]: Extracting #8: cost 6 inf + 65892 244.319 * * [simplify]: Extracting #9: cost 0 inf + 71810 244.337 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 244.337 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 244.337 * * * * [progress]: [ 261 / 675 ] simplifiying candidate # 244.338 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 244.338 * * [simplify]: iters left: 6 (22 enodes) 244.346 * * [simplify]: iters left: 5 (90 enodes) 244.364 * * [simplify]: iters left: 4 (154 enodes) 244.388 * * [simplify]: iters left: 3 (237 enodes) 244.464 * * [simplify]: iters left: 2 (364 enodes) 244.573 * * [simplify]: Extracting #0: cost 1 inf + 0 244.575 * * [simplify]: Extracting #1: cost 23 inf + 0 244.575 * * [simplify]: Extracting #2: cost 47 inf + 0 244.575 * * [simplify]: Extracting #3: cost 64 inf + 0 244.576 * * [simplify]: Extracting #4: cost 117 inf + 1 244.576 * * [simplify]: Extracting #5: cost 142 inf + 1256 244.579 * * [simplify]: Extracting #6: cost 80 inf + 16216 244.585 * * [simplify]: Extracting #7: cost 17 inf + 43680 244.593 * * [simplify]: Extracting #8: cost 0 inf + 54448 244.602 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 244.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 244.602 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 244.602 * * [simplify]: iters left: 6 (19 enodes) 244.607 * * [simplify]: iters left: 5 (74 enodes) 244.619 * * [simplify]: iters left: 4 (108 enodes) 244.637 * * [simplify]: iters left: 3 (153 enodes) 244.667 * * [simplify]: iters left: 2 (251 enodes) 244.752 * * [simplify]: iters left: 1 (423 enodes) 244.974 * * [simplify]: Extracting #0: cost 1 inf + 0 244.974 * * [simplify]: Extracting #1: cost 8 inf + 0 244.974 * * [simplify]: Extracting #2: cost 17 inf + 0 244.974 * * [simplify]: Extracting #3: cost 48 inf + 0 244.974 * * [simplify]: Extracting #4: cost 133 inf + 1 244.975 * * [simplify]: Extracting #5: cost 197 inf + 427 244.977 * * [simplify]: Extracting #6: cost 135 inf + 11861 244.984 * * [simplify]: Extracting #7: cost 44 inf + 43442 244.994 * * [simplify]: Extracting #8: cost 2 inf + 75207 245.018 * * [simplify]: Extracting #9: cost 0 inf + 76453 245.040 * * [simplify]: Extracting #10: cost 0 inf + 76016 245.062 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 245.062 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 245.062 * * * * [progress]: [ 262 / 675 ] simplifiying candidate # 245.063 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 245.063 * * [simplify]: iters left: 6 (19 enodes) 245.073 * * [simplify]: iters left: 5 (80 enodes) 245.100 * * [simplify]: iters left: 4 (144 enodes) 245.135 * * [simplify]: iters left: 3 (227 enodes) 245.198 * * [simplify]: iters left: 2 (354 enodes) 245.309 * * [simplify]: Extracting #0: cost 1 inf + 0 245.309 * * [simplify]: Extracting #1: cost 23 inf + 0 245.309 * * [simplify]: Extracting #2: cost 46 inf + 0 245.310 * * [simplify]: Extracting #3: cost 60 inf + 0 245.310 * * [simplify]: Extracting #4: cost 110 inf + 1 245.310 * * [simplify]: Extracting #5: cost 136 inf + 841 245.312 * * [simplify]: Extracting #6: cost 83 inf + 15724 245.319 * * [simplify]: Extracting #7: cost 15 inf + 42353 245.334 * * [simplify]: Extracting #8: cost 0 inf + 51581 245.351 * * [simplify]: Extracting #9: cost 0 inf + 51016 245.367 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 245.367 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 245.367 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 245.367 * * [simplify]: iters left: 6 (17 enodes) 245.372 * * [simplify]: iters left: 5 (68 enodes) 245.385 * * [simplify]: iters left: 4 (106 enodes) 245.407 * * [simplify]: iters left: 3 (151 enodes) 245.456 * * [simplify]: iters left: 2 (232 enodes) 245.546 * * [simplify]: iters left: 1 (413 enodes) 245.712 * * [simplify]: Extracting #0: cost 1 inf + 0 245.712 * * [simplify]: Extracting #1: cost 8 inf + 0 245.712 * * [simplify]: Extracting #2: cost 16 inf + 0 245.712 * * [simplify]: Extracting #3: cost 45 inf + 0 245.713 * * [simplify]: Extracting #4: cost 128 inf + 1 245.716 * * [simplify]: Extracting #5: cost 180 inf + 677 245.718 * * [simplify]: Extracting #6: cost 128 inf + 10552 245.727 * * [simplify]: Extracting #7: cost 24 inf + 51860 245.746 * * [simplify]: Extracting #8: cost 0 inf + 62968 245.774 * * [simplify]: Extracting #9: cost 0 inf + 61851 245.789 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 245.790 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 245.790 * * * * [progress]: [ 263 / 675 ] simplifiying candidate # 245.790 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 245.790 * * [simplify]: iters left: 6 (20 enodes) 245.796 * * [simplify]: iters left: 5 (83 enodes) 245.810 * * [simplify]: iters left: 4 (137 enodes) 245.840 * * [simplify]: iters left: 3 (192 enodes) 245.874 * * [simplify]: iters left: 2 (308 enodes) 245.933 * * [simplify]: iters left: 1 (490 enodes) 246.143 * * [simplify]: Extracting #0: cost 1 inf + 0 246.143 * * [simplify]: Extracting #1: cost 13 inf + 0 246.143 * * [simplify]: Extracting #2: cost 24 inf + 1 246.144 * * [simplify]: Extracting #3: cost 53 inf + 1 246.144 * * [simplify]: Extracting #4: cost 132 inf + 2 246.146 * * [simplify]: Extracting #5: cost 176 inf + 219 246.150 * * [simplify]: Extracting #6: cost 106 inf + 16012 246.164 * * [simplify]: Extracting #7: cost 38 inf + 40899 246.185 * * [simplify]: Extracting #8: cost 3 inf + 70200 246.200 * * [simplify]: Extracting #9: cost 0 inf + 72109 246.211 * * [simplify]: Extracting #10: cost 0 inf + 72107 246.227 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 246.227 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 246.228 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 246.228 * * [simplify]: iters left: 6 (16 enodes) 246.237 * * [simplify]: iters left: 5 (65 enodes) 246.258 * * [simplify]: iters left: 4 (103 enodes) 246.289 * * [simplify]: iters left: 3 (144 enodes) 246.315 * * [simplify]: iters left: 2 (224 enodes) 246.389 * * [simplify]: iters left: 1 (403 enodes) 246.552 * * [simplify]: Extracting #0: cost 1 inf + 0 246.552 * * [simplify]: Extracting #1: cost 8 inf + 0 246.552 * * [simplify]: Extracting #2: cost 16 inf + 0 246.552 * * [simplify]: Extracting #3: cost 49 inf + 0 246.553 * * [simplify]: Extracting #4: cost 127 inf + 2 246.554 * * [simplify]: Extracting #5: cost 168 inf + 987 246.557 * * [simplify]: Extracting #6: cost 124 inf + 7824 246.566 * * [simplify]: Extracting #7: cost 63 inf + 23090 246.580 * * [simplify]: Extracting #8: cost 16 inf + 58819 246.590 * * [simplify]: Extracting #9: cost 0 inf + 74621 246.600 * * [simplify]: Extracting #10: cost 0 inf + 74504 246.615 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 246.615 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 246.615 * * * * [progress]: [ 264 / 675 ] simplifiying candidate # 246.616 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 246.616 * * [simplify]: iters left: 6 (19 enodes) 246.627 * * [simplify]: iters left: 5 (80 enodes) 246.648 * * [simplify]: iters left: 4 (144 enodes) 246.673 * * [simplify]: iters left: 3 (227 enodes) 246.723 * * [simplify]: iters left: 2 (354 enodes) 246.827 * * [simplify]: Extracting #0: cost 1 inf + 0 246.827 * * [simplify]: Extracting #1: cost 23 inf + 0 246.827 * * [simplify]: Extracting #2: cost 46 inf + 0 246.827 * * [simplify]: Extracting #3: cost 60 inf + 0 246.828 * * [simplify]: Extracting #4: cost 110 inf + 1 246.828 * * [simplify]: Extracting #5: cost 136 inf + 841 246.830 * * [simplify]: Extracting #6: cost 83 inf + 15724 246.839 * * [simplify]: Extracting #7: cost 15 inf + 42353 246.855 * * [simplify]: Extracting #8: cost 0 inf + 51581 246.874 * * [simplify]: Extracting #9: cost 0 inf + 51016 246.890 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 246.890 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 246.891 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 246.891 * * [simplify]: iters left: 6 (17 enodes) 246.899 * * [simplify]: iters left: 5 (68 enodes) 246.921 * * [simplify]: iters left: 4 (106 enodes) 246.955 * * [simplify]: iters left: 3 (151 enodes) 246.990 * * [simplify]: iters left: 2 (232 enodes) 247.050 * * [simplify]: iters left: 1 (413 enodes) 247.195 * * [simplify]: Extracting #0: cost 1 inf + 0 247.195 * * [simplify]: Extracting #1: cost 8 inf + 0 247.195 * * [simplify]: Extracting #2: cost 16 inf + 0 247.195 * * [simplify]: Extracting #3: cost 45 inf + 0 247.196 * * [simplify]: Extracting #4: cost 128 inf + 1 247.197 * * [simplify]: Extracting #5: cost 180 inf + 677 247.201 * * [simplify]: Extracting #6: cost 128 inf + 10552 247.215 * * [simplify]: Extracting #7: cost 24 inf + 51860 247.228 * * [simplify]: Extracting #8: cost 0 inf + 62968 247.244 * * [simplify]: Extracting #9: cost 0 inf + 61851 247.273 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 247.273 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 247.273 * * * * [progress]: [ 265 / 675 ] simplifiying candidate # 247.273 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 247.274 * * [simplify]: iters left: 6 (19 enodes) 247.282 * * [simplify]: iters left: 5 (80 enodes) 247.298 * * [simplify]: iters left: 4 (134 enodes) 247.334 * * [simplify]: iters left: 3 (192 enodes) 247.400 * * [simplify]: iters left: 2 (308 enodes) 247.483 * * [simplify]: iters left: 1 (498 enodes) 247.627 * * [simplify]: Extracting #0: cost 1 inf + 0 247.627 * * [simplify]: Extracting #1: cost 13 inf + 0 247.627 * * [simplify]: Extracting #2: cost 24 inf + 1 247.627 * * [simplify]: Extracting #3: cost 53 inf + 1 247.628 * * [simplify]: Extracting #4: cost 130 inf + 2 247.628 * * [simplify]: Extracting #5: cost 172 inf + 592 247.632 * * [simplify]: Extracting #6: cost 100 inf + 23302 247.642 * * [simplify]: Extracting #7: cost 8 inf + 67874 247.665 * * [simplify]: Extracting #8: cost 0 inf + 73331 247.692 * * [simplify]: Extracting #9: cost 0 inf + 72609 247.715 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 247.715 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 247.716 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 247.716 * * [simplify]: iters left: 6 (16 enodes) 247.724 * * [simplify]: iters left: 5 (65 enodes) 247.736 * * [simplify]: iters left: 4 (103 enodes) 247.752 * * [simplify]: iters left: 3 (144 enodes) 247.790 * * [simplify]: iters left: 2 (224 enodes) 247.873 * * [simplify]: iters left: 1 (403 enodes) 248.075 * * [simplify]: Extracting #0: cost 1 inf + 0 248.075 * * [simplify]: Extracting #1: cost 8 inf + 0 248.075 * * [simplify]: Extracting #2: cost 16 inf + 0 248.075 * * [simplify]: Extracting #3: cost 49 inf + 0 248.075 * * [simplify]: Extracting #4: cost 127 inf + 2 248.076 * * [simplify]: Extracting #5: cost 168 inf + 987 248.078 * * [simplify]: Extracting #6: cost 124 inf + 7824 248.082 * * [simplify]: Extracting #7: cost 63 inf + 23090 248.090 * * [simplify]: Extracting #8: cost 16 inf + 58819 248.106 * * [simplify]: Extracting #9: cost 0 inf + 74621 248.126 * * [simplify]: Extracting #10: cost 0 inf + 74504 248.147 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 248.147 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 248.147 * * * * [progress]: [ 266 / 675 ] simplifiying candidate # 248.148 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 248.148 * * [simplify]: iters left: 6 (19 enodes) 248.154 * * [simplify]: iters left: 5 (80 enodes) 248.171 * * [simplify]: iters left: 4 (144 enodes) 248.194 * * [simplify]: iters left: 3 (227 enodes) 248.236 * * [simplify]: iters left: 2 (354 enodes) 248.335 * * [simplify]: Extracting #0: cost 1 inf + 0 248.335 * * [simplify]: Extracting #1: cost 23 inf + 0 248.338 * * [simplify]: Extracting #2: cost 46 inf + 0 248.339 * * [simplify]: Extracting #3: cost 60 inf + 0 248.339 * * [simplify]: Extracting #4: cost 110 inf + 1 248.340 * * [simplify]: Extracting #5: cost 136 inf + 841 248.344 * * [simplify]: Extracting #6: cost 83 inf + 15724 248.357 * * [simplify]: Extracting #7: cost 15 inf + 42353 248.373 * * [simplify]: Extracting #8: cost 0 inf + 51581 248.389 * * [simplify]: Extracting #9: cost 0 inf + 51016 248.406 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 248.406 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 248.406 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 248.407 * * [simplify]: iters left: 6 (17 enodes) 248.415 * * [simplify]: iters left: 5 (68 enodes) 248.438 * * [simplify]: iters left: 4 (106 enodes) 248.471 * * [simplify]: iters left: 3 (151 enodes) 248.521 * * [simplify]: iters left: 2 (232 enodes) 248.605 * * [simplify]: iters left: 1 (413 enodes) 248.775 * * [simplify]: Extracting #0: cost 1 inf + 0 248.776 * * [simplify]: Extracting #1: cost 8 inf + 0 248.776 * * [simplify]: Extracting #2: cost 16 inf + 0 248.776 * * [simplify]: Extracting #3: cost 45 inf + 0 248.776 * * [simplify]: Extracting #4: cost 128 inf + 1 248.778 * * [simplify]: Extracting #5: cost 180 inf + 677 248.781 * * [simplify]: Extracting #6: cost 128 inf + 10552 248.797 * * [simplify]: Extracting #7: cost 24 inf + 51860 248.815 * * [simplify]: Extracting #8: cost 0 inf + 62968 248.830 * * [simplify]: Extracting #9: cost 0 inf + 61851 248.857 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 248.857 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 248.858 * * * * [progress]: [ 267 / 675 ] simplifiying candidate # 248.859 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 248.859 * * [simplify]: iters left: 6 (18 enodes) 248.869 * * [simplify]: iters left: 5 (75 enodes) 248.895 * * [simplify]: iters left: 4 (133 enodes) 248.928 * * [simplify]: iters left: 3 (207 enodes) 248.996 * * [simplify]: iters left: 2 (330 enodes) 249.064 * * [simplify]: Extracting #0: cost 1 inf + 0 249.064 * * [simplify]: Extracting #1: cost 13 inf + 0 249.064 * * [simplify]: Extracting #2: cost 24 inf + 1 249.065 * * [simplify]: Extracting #3: cost 38 inf + 1 249.065 * * [simplify]: Extracting #4: cost 88 inf + 2 249.065 * * [simplify]: Extracting #5: cost 120 inf + 134 249.066 * * [simplify]: Extracting #6: cost 72 inf + 6253 249.070 * * [simplify]: Extracting #7: cost 13 inf + 30598 249.076 * * [simplify]: Extracting #8: cost 0 inf + 38023 249.083 * * [simplify]: Extracting #9: cost 0 inf + 37714 249.095 * * [simplify]: Extracting #10: cost 0 inf + 37713 249.107 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 249.107 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 249.108 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 249.108 * * [simplify]: iters left: 6 (16 enodes) 249.117 * * [simplify]: iters left: 5 (65 enodes) 249.128 * * [simplify]: iters left: 4 (103 enodes) 249.143 * * [simplify]: iters left: 3 (144 enodes) 249.190 * * [simplify]: iters left: 2 (224 enodes) 249.248 * * [simplify]: iters left: 1 (403 enodes) 249.419 * * [simplify]: Extracting #0: cost 1 inf + 0 249.419 * * [simplify]: Extracting #1: cost 8 inf + 0 249.419 * * [simplify]: Extracting #2: cost 16 inf + 0 249.419 * * [simplify]: Extracting #3: cost 49 inf + 0 249.420 * * [simplify]: Extracting #4: cost 127 inf + 2 249.420 * * [simplify]: Extracting #5: cost 168 inf + 987 249.422 * * [simplify]: Extracting #6: cost 124 inf + 7824 249.426 * * [simplify]: Extracting #7: cost 63 inf + 23090 249.434 * * [simplify]: Extracting #8: cost 16 inf + 58819 249.452 * * [simplify]: Extracting #9: cost 0 inf + 74621 249.472 * * [simplify]: Extracting #10: cost 0 inf + 74504 249.489 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 249.489 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 249.489 * * * * [progress]: [ 268 / 675 ] simplifiying candidate # 249.490 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 249.490 * * [simplify]: iters left: 6 (21 enodes) 249.496 * * [simplify]: iters left: 5 (85 enodes) 249.510 * * [simplify]: iters left: 4 (140 enodes) 249.556 * * [simplify]: iters left: 3 (225 enodes) 249.633 * * [simplify]: iters left: 2 (360 enodes) 249.733 * * [simplify]: Extracting #0: cost 1 inf + 0 249.734 * * [simplify]: Extracting #1: cost 24 inf + 0 249.734 * * [simplify]: Extracting #2: cost 50 inf + 0 249.734 * * [simplify]: Extracting #3: cost 67 inf + 0 249.735 * * [simplify]: Extracting #4: cost 119 inf + 1 249.736 * * [simplify]: Extracting #5: cost 146 inf + 717 249.739 * * [simplify]: Extracting #6: cost 103 inf + 8416 249.749 * * [simplify]: Extracting #7: cost 36 inf + 33189 249.765 * * [simplify]: Extracting #8: cost 2 inf + 55850 249.781 * * [simplify]: Extracting #9: cost 0 inf + 56636 249.792 * * [simplify]: Extracting #10: cost 0 inf + 56305 249.801 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 249.801 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 249.801 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 249.801 * * [simplify]: iters left: 6 (18 enodes) 249.806 * * [simplify]: iters left: 5 (71 enodes) 249.817 * * [simplify]: iters left: 4 (109 enodes) 249.854 * * [simplify]: iters left: 3 (153 enodes) 249.903 * * [simplify]: iters left: 2 (234 enodes) 249.990 * * [simplify]: iters left: 1 (413 enodes) 250.133 * * [simplify]: Extracting #0: cost 1 inf + 0 250.133 * * [simplify]: Extracting #1: cost 8 inf + 0 250.133 * * [simplify]: Extracting #2: cost 17 inf + 0 250.133 * * [simplify]: Extracting #3: cost 48 inf + 0 250.134 * * [simplify]: Extracting #4: cost 127 inf + 1 250.135 * * [simplify]: Extracting #5: cost 177 inf + 1176 250.137 * * [simplify]: Extracting #6: cost 116 inf + 12763 250.149 * * [simplify]: Extracting #7: cost 40 inf + 36654 250.167 * * [simplify]: Extracting #8: cost 6 inf + 65892 250.187 * * [simplify]: Extracting #9: cost 0 inf + 71810 250.207 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 250.207 * [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 (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 250.208 * * * * [progress]: [ 269 / 675 ] simplifiying candidate # 250.208 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 250.208 * * [simplify]: iters left: 6 (18 enodes) 250.218 * * [simplify]: iters left: 5 (74 enodes) 250.241 * * [simplify]: iters left: 4 (110 enodes) 250.261 * * [simplify]: iters left: 3 (166 enodes) 250.308 * * [simplify]: iters left: 2 (283 enodes) 250.402 * * [simplify]: iters left: 1 (474 enodes) 250.535 * * [simplify]: Extracting #0: cost 1 inf + 0 250.535 * * [simplify]: Extracting #1: cost 16 inf + 0 250.535 * * [simplify]: Extracting #2: cost 31 inf + 0 250.535 * * [simplify]: Extracting #3: cost 60 inf + 0 250.536 * * [simplify]: Extracting #4: cost 137 inf + 2 250.537 * * [simplify]: Extracting #5: cost 188 inf + 1310 250.541 * * [simplify]: Extracting #6: cost 157 inf + 4899 250.545 * * [simplify]: Extracting #7: cost 78 inf + 25616 250.566 * * [simplify]: Extracting #8: cost 16 inf + 69106 250.592 * * [simplify]: Extracting #9: cost 2 inf + 76457 250.620 * * [simplify]: Extracting #10: cost 0 inf + 77444 250.646 * [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)))) 250.646 * [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))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 250.647 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 250.647 * * [simplify]: iters left: 6 (16 enodes) 250.655 * * [simplify]: iters left: 5 (65 enodes) 250.676 * * [simplify]: iters left: 4 (98 enodes) 250.698 * * [simplify]: iters left: 3 (138 enodes) 250.722 * * [simplify]: iters left: 2 (218 enodes) 250.802 * * [simplify]: iters left: 1 (395 enodes) 250.958 * * [simplify]: Extracting #0: cost 1 inf + 0 250.958 * * [simplify]: Extracting #1: cost 6 inf + 0 250.958 * * [simplify]: Extracting #2: cost 12 inf + 0 250.958 * * [simplify]: Extracting #3: cost 41 inf + 0 250.959 * * [simplify]: Extracting #4: cost 115 inf + 2 250.960 * * [simplify]: Extracting #5: cost 159 inf + 708 250.964 * * [simplify]: Extracting #6: cost 112 inf + 8994 250.975 * * [simplify]: Extracting #7: cost 32 inf + 42477 250.995 * * [simplify]: Extracting #8: cost 0 inf + 66911 251.015 * * [simplify]: Extracting #9: cost 0 inf + 65699 251.036 * * [simplify]: Extracting #10: cost 0 inf + 65529 251.047 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 251.047 * [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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 251.047 * * * * [progress]: [ 270 / 675 ] simplifiying candidate # 251.048 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 251.048 * * [simplify]: iters left: 6 (22 enodes) 251.053 * * [simplify]: iters left: 5 (87 enodes) 251.067 * * [simplify]: iters left: 4 (135 enodes) 251.091 * * [simplify]: iters left: 3 (195 enodes) 251.144 * * [simplify]: iters left: 2 (286 enodes) 251.218 * * [simplify]: iters left: 1 (473 enodes) 251.409 * * [simplify]: Extracting #0: cost 1 inf + 0 251.409 * * [simplify]: Extracting #1: cost 15 inf + 0 251.409 * * [simplify]: Extracting #2: cost 32 inf + 0 251.409 * * [simplify]: Extracting #3: cost 67 inf + 0 251.410 * * [simplify]: Extracting #4: cost 146 inf + 1 251.412 * * [simplify]: Extracting #5: cost 201 inf + 302 251.417 * * [simplify]: Extracting #6: cost 134 inf + 13206 251.437 * * [simplify]: Extracting #7: cost 35 inf + 54809 251.461 * * [simplify]: Extracting #8: cost 0 inf + 82530 251.485 * * [simplify]: Extracting #9: cost 0 inf + 81744 251.502 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k))))) 251.502 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 251.502 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 251.502 * * [simplify]: iters left: 6 (19 enodes) 251.507 * * [simplify]: iters left: 5 (74 enodes) 251.519 * * [simplify]: iters left: 4 (108 enodes) 251.552 * * [simplify]: iters left: 3 (153 enodes) 251.579 * * [simplify]: iters left: 2 (251 enodes) 251.663 * * [simplify]: iters left: 1 (423 enodes) 252.232 * * [simplify]: Extracting #0: cost 1 inf + 0 252.232 * * [simplify]: Extracting #1: cost 8 inf + 0 252.232 * * [simplify]: Extracting #2: cost 17 inf + 0 252.232 * * [simplify]: Extracting #3: cost 48 inf + 0 252.233 * * [simplify]: Extracting #4: cost 133 inf + 1 252.235 * * [simplify]: Extracting #5: cost 197 inf + 427 252.239 * * [simplify]: Extracting #6: cost 135 inf + 11941 252.248 * * [simplify]: Extracting #7: cost 44 inf + 43522 252.263 * * [simplify]: Extracting #8: cost 2 inf + 75287 252.275 * * [simplify]: Extracting #9: cost 0 inf + 76533 252.294 * * [simplify]: Extracting #10: cost 0 inf + 76096 252.305 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 252.305 * [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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 252.305 * * * * [progress]: [ 271 / 675 ] simplifiying candidate # 252.305 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 252.305 * * [simplify]: iters left: 6 (20 enodes) 252.311 * * [simplify]: iters left: 5 (80 enodes) 252.328 * * [simplify]: iters left: 4 (128 enodes) 252.372 * * [simplify]: iters left: 3 (188 enodes) 252.404 * * [simplify]: iters left: 2 (279 enodes) 252.508 * * [simplify]: iters left: 1 (472 enodes) 252.704 * * [simplify]: Extracting #0: cost 1 inf + 0 252.704 * * [simplify]: Extracting #1: cost 15 inf + 0 252.704 * * [simplify]: Extracting #2: cost 32 inf + 0 252.705 * * [simplify]: Extracting #3: cost 65 inf + 0 252.705 * * [simplify]: Extracting #4: cost 152 inf + 1 252.707 * * [simplify]: Extracting #5: cost 209 inf + 260 252.711 * * [simplify]: Extracting #6: cost 139 inf + 14808 252.720 * * [simplify]: Extracting #7: cost 40 inf + 53224 252.733 * * [simplify]: Extracting #8: cost 2 inf + 84821 252.746 * * [simplify]: Extracting #9: cost 0 inf + 85968 252.767 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) 252.768 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 252.768 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 252.768 * * [simplify]: iters left: 6 (18 enodes) 252.777 * * [simplify]: iters left: 5 (71 enodes) 252.805 * * [simplify]: iters left: 4 (109 enodes) 252.839 * * [simplify]: iters left: 3 (153 enodes) 252.889 * * [simplify]: iters left: 2 (234 enodes) 252.952 * * [simplify]: iters left: 1 (413 enodes) 253.120 * * [simplify]: Extracting #0: cost 1 inf + 0 253.120 * * [simplify]: Extracting #1: cost 8 inf + 0 253.120 * * [simplify]: Extracting #2: cost 17 inf + 0 253.120 * * [simplify]: Extracting #3: cost 48 inf + 0 253.121 * * [simplify]: Extracting #4: cost 127 inf + 1 253.122 * * [simplify]: Extracting #5: cost 177 inf + 1176 253.126 * * [simplify]: Extracting #6: cost 116 inf + 12563 253.131 * * [simplify]: Extracting #7: cost 40 inf + 36334 253.141 * * [simplify]: Extracting #8: cost 6 inf + 65572 253.156 * * [simplify]: Extracting #9: cost 0 inf + 71490 253.176 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 253.176 * [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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 253.176 * * * * [progress]: [ 272 / 675 ] simplifiying candidate # 253.177 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 253.177 * * [simplify]: iters left: 6 (20 enodes) 253.190 * * [simplify]: iters left: 5 (80 enodes) 253.205 * * [simplify]: iters left: 4 (121 enodes) 253.230 * * [simplify]: iters left: 3 (172 enodes) 253.260 * * [simplify]: iters left: 2 (263 enodes) 253.343 * * [simplify]: iters left: 1 (449 enodes) 253.525 * * [simplify]: Extracting #0: cost 1 inf + 0 253.525 * * [simplify]: Extracting #1: cost 9 inf + 0 253.525 * * [simplify]: Extracting #2: cost 17 inf + 1 253.526 * * [simplify]: Extracting #3: cost 49 inf + 1 253.526 * * [simplify]: Extracting #4: cost 134 inf + 2 253.527 * * [simplify]: Extracting #5: cost 179 inf + 426 253.529 * * [simplify]: Extracting #6: cost 121 inf + 13642 253.542 * * [simplify]: Extracting #7: cost 21 inf + 61225 253.553 * * [simplify]: Extracting #8: cost 1 inf + 76322 253.565 * * [simplify]: Extracting #9: cost 0 inf + 76531 253.576 * * [simplify]: Extracting #10: cost 0 inf + 76321 253.597 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt (sqrt k)))) 253.598 * [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 (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 253.598 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 253.598 * * [simplify]: iters left: 6 (17 enodes) 253.607 * * [simplify]: iters left: 5 (68 enodes) 253.621 * * [simplify]: iters left: 4 (106 enodes) 253.637 * * [simplify]: iters left: 3 (151 enodes) 253.685 * * [simplify]: iters left: 2 (232 enodes) 253.746 * * [simplify]: iters left: 1 (413 enodes) 253.942 * * [simplify]: Extracting #0: cost 1 inf + 0 253.942 * * [simplify]: Extracting #1: cost 8 inf + 0 253.942 * * [simplify]: Extracting #2: cost 17 inf + 0 253.942 * * [simplify]: Extracting #3: cost 47 inf + 0 253.943 * * [simplify]: Extracting #4: cost 127 inf + 2 253.944 * * [simplify]: Extracting #5: cost 172 inf + 1408 253.954 * * [simplify]: Extracting #6: cost 107 inf + 13835 253.971 * * [simplify]: Extracting #7: cost 18 inf + 55615 253.997 * * [simplify]: Extracting #8: cost 0 inf + 64483 254.026 * * [simplify]: Extracting #9: cost 0 inf + 63406 254.055 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 254.055 * [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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 254.055 * * * * [progress]: [ 273 / 675 ] simplifiying candidate # 254.056 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 254.056 * * [simplify]: iters left: 6 (20 enodes) 254.066 * * [simplify]: iters left: 5 (80 enodes) 254.089 * * [simplify]: iters left: 4 (128 enodes) 254.114 * * [simplify]: iters left: 3 (188 enodes) 254.150 * * [simplify]: iters left: 2 (279 enodes) 254.213 * * [simplify]: iters left: 1 (472 enodes) 254.415 * * [simplify]: Extracting #0: cost 1 inf + 0 254.415 * * [simplify]: Extracting #1: cost 15 inf + 0 254.415 * * [simplify]: Extracting #2: cost 32 inf + 0 254.415 * * [simplify]: Extracting #3: cost 65 inf + 0 254.415 * * [simplify]: Extracting #4: cost 152 inf + 1 254.416 * * [simplify]: Extracting #5: cost 209 inf + 260 254.418 * * [simplify]: Extracting #6: cost 139 inf + 14808 254.426 * * [simplify]: Extracting #7: cost 40 inf + 53224 254.442 * * [simplify]: Extracting #8: cost 2 inf + 84821 254.455 * * [simplify]: Extracting #9: cost 0 inf + 85968 254.470 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) 254.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 254.471 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 254.471 * * [simplify]: iters left: 6 (18 enodes) 254.480 * * [simplify]: iters left: 5 (71 enodes) 254.495 * * [simplify]: iters left: 4 (109 enodes) 254.514 * * [simplify]: iters left: 3 (153 enodes) 254.545 * * [simplify]: iters left: 2 (234 enodes) 254.611 * * [simplify]: iters left: 1 (413 enodes) 254.769 * * [simplify]: Extracting #0: cost 1 inf + 0 254.769 * * [simplify]: Extracting #1: cost 8 inf + 0 254.769 * * [simplify]: Extracting #2: cost 17 inf + 0 254.769 * * [simplify]: Extracting #3: cost 48 inf + 0 254.770 * * [simplify]: Extracting #4: cost 127 inf + 1 254.771 * * [simplify]: Extracting #5: cost 177 inf + 1176 254.775 * * [simplify]: Extracting #6: cost 116 inf + 12563 254.786 * * [simplify]: Extracting #7: cost 40 inf + 36334 254.803 * * [simplify]: Extracting #8: cost 6 inf + 65572 254.824 * * [simplify]: Extracting #9: cost 0 inf + 71490 254.837 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 254.838 * [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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 254.838 * * * * [progress]: [ 274 / 675 ] simplifiying candidate # 254.838 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 254.838 * * [simplify]: iters left: 6 (19 enodes) 254.844 * * [simplify]: iters left: 5 (77 enodes) 254.856 * * [simplify]: iters left: 4 (114 enodes) 254.890 * * [simplify]: iters left: 3 (172 enodes) 254.937 * * [simplify]: iters left: 2 (284 enodes) 255.019 * * [simplify]: iters left: 1 (472 enodes) 255.196 * * [simplify]: Extracting #0: cost 1 inf + 0 255.196 * * [simplify]: Extracting #1: cost 9 inf + 0 255.196 * * [simplify]: Extracting #2: cost 17 inf + 1 255.197 * * [simplify]: Extracting #3: cost 49 inf + 1 255.197 * * [simplify]: Extracting #4: cost 135 inf + 2 255.198 * * [simplify]: Extracting #5: cost 194 inf + 178 255.200 * * [simplify]: Extracting #6: cost 131 inf + 10270 255.206 * * [simplify]: Extracting #7: cost 42 inf + 40582 255.220 * * [simplify]: Extracting #8: cost 1 inf + 77077 255.233 * * [simplify]: Extracting #9: cost 0 inf + 77505 255.244 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) 255.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 255.245 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 255.245 * * [simplify]: iters left: 6 (17 enodes) 255.249 * * [simplify]: iters left: 5 (68 enodes) 255.272 * * [simplify]: iters left: 4 (106 enodes) 255.299 * * [simplify]: iters left: 3 (151 enodes) 255.330 * * [simplify]: iters left: 2 (232 enodes) 255.386 * * [simplify]: iters left: 1 (413 enodes) 255.553 * * [simplify]: Extracting #0: cost 1 inf + 0 255.553 * * [simplify]: Extracting #1: cost 8 inf + 0 255.553 * * [simplify]: Extracting #2: cost 17 inf + 0 255.553 * * [simplify]: Extracting #3: cost 47 inf + 0 255.554 * * [simplify]: Extracting #4: cost 127 inf + 2 255.555 * * [simplify]: Extracting #5: cost 172 inf + 1408 255.560 * * [simplify]: Extracting #6: cost 107 inf + 13835 255.576 * * [simplify]: Extracting #7: cost 18 inf + 55615 255.607 * * [simplify]: Extracting #8: cost 0 inf + 64483 255.625 * * [simplify]: Extracting #9: cost 0 inf + 63406 255.640 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 255.641 * [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 (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 255.641 * * * * [progress]: [ 275 / 675 ] simplifiying candidate # 255.641 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 255.641 * * [simplify]: iters left: 6 (20 enodes) 255.647 * * [simplify]: iters left: 5 (80 enodes) 255.673 * * [simplify]: iters left: 4 (128 enodes) 255.713 * * [simplify]: iters left: 3 (188 enodes) 255.777 * * [simplify]: iters left: 2 (279 enodes) 255.852 * * [simplify]: iters left: 1 (472 enodes) 256.022 * * [simplify]: Extracting #0: cost 1 inf + 0 256.022 * * [simplify]: Extracting #1: cost 15 inf + 0 256.022 * * [simplify]: Extracting #2: cost 32 inf + 0 256.022 * * [simplify]: Extracting #3: cost 65 inf + 0 256.023 * * [simplify]: Extracting #4: cost 152 inf + 1 256.024 * * [simplify]: Extracting #5: cost 209 inf + 260 256.026 * * [simplify]: Extracting #6: cost 139 inf + 14808 256.039 * * [simplify]: Extracting #7: cost 40 inf + 53224 256.060 * * [simplify]: Extracting #8: cost 2 inf + 84821 256.086 * * [simplify]: Extracting #9: cost 0 inf + 85968 256.101 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) 256.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 256.101 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 256.101 * * [simplify]: iters left: 6 (18 enodes) 256.106 * * [simplify]: iters left: 5 (71 enodes) 256.126 * * [simplify]: iters left: 4 (109 enodes) 256.163 * * [simplify]: iters left: 3 (153 enodes) 256.201 * * [simplify]: iters left: 2 (234 enodes) 256.274 * * [simplify]: iters left: 1 (413 enodes) 256.414 * * [simplify]: Extracting #0: cost 1 inf + 0 256.414 * * [simplify]: Extracting #1: cost 8 inf + 0 256.414 * * [simplify]: Extracting #2: cost 17 inf + 0 256.415 * * [simplify]: Extracting #3: cost 48 inf + 0 256.415 * * [simplify]: Extracting #4: cost 127 inf + 1 256.417 * * [simplify]: Extracting #5: cost 177 inf + 1176 256.421 * * [simplify]: Extracting #6: cost 116 inf + 12563 256.435 * * [simplify]: Extracting #7: cost 40 inf + 36334 256.450 * * [simplify]: Extracting #8: cost 6 inf + 65572 256.460 * * [simplify]: Extracting #9: cost 0 inf + 71490 256.474 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 256.474 * [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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 256.475 * * * * [progress]: [ 276 / 675 ] simplifiying candidate # 256.475 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 256.475 * * [simplify]: iters left: 6 (18 enodes) 256.485 * * [simplify]: iters left: 5 (72 enodes) 256.508 * * [simplify]: iters left: 4 (112 enodes) 256.528 * * [simplify]: iters left: 3 (168 enodes) 256.577 * * [simplify]: iters left: 2 (275 enodes) 256.639 * * [simplify]: iters left: 1 (451 enodes) 256.832 * * [simplify]: Extracting #0: cost 1 inf + 0 256.833 * * [simplify]: Extracting #1: cost 9 inf + 0 256.833 * * [simplify]: Extracting #2: cost 17 inf + 1 256.833 * * [simplify]: Extracting #3: cost 49 inf + 1 256.833 * * [simplify]: Extracting #4: cost 133 inf + 2 256.834 * * [simplify]: Extracting #5: cost 188 inf + 302 256.838 * * [simplify]: Extracting #6: cost 135 inf + 8760 256.851 * * [simplify]: Extracting #7: cost 33 inf + 52827 256.866 * * [simplify]: Extracting #8: cost 2 inf + 77217 256.877 * * [simplify]: Extracting #9: cost 0 inf + 78572 256.900 * * [simplify]: Extracting #10: cost 0 inf + 78412 256.923 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 256.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 256.923 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 256.924 * * [simplify]: iters left: 6 (17 enodes) 256.933 * * [simplify]: iters left: 5 (68 enodes) 256.947 * * [simplify]: iters left: 4 (106 enodes) 256.967 * * [simplify]: iters left: 3 (151 enodes) 257.004 * * [simplify]: iters left: 2 (232 enodes) 257.081 * * [simplify]: iters left: 1 (413 enodes) 257.213 * * [simplify]: Extracting #0: cost 1 inf + 0 257.214 * * [simplify]: Extracting #1: cost 8 inf + 0 257.214 * * [simplify]: Extracting #2: cost 17 inf + 0 257.214 * * [simplify]: Extracting #3: cost 47 inf + 0 257.214 * * [simplify]: Extracting #4: cost 127 inf + 2 257.215 * * [simplify]: Extracting #5: cost 172 inf + 1408 257.217 * * [simplify]: Extracting #6: cost 107 inf + 13835 257.232 * * [simplify]: Extracting #7: cost 18 inf + 55615 257.250 * * [simplify]: Extracting #8: cost 0 inf + 64483 257.272 * * [simplify]: Extracting #9: cost 0 inf + 63406 257.288 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 257.288 * [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 (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 257.288 * * * * [progress]: [ 277 / 675 ] simplifiying candidate # 257.288 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 257.288 * * [simplify]: iters left: 6 (22 enodes) 257.294 * * [simplify]: iters left: 5 (88 enodes) 257.313 * * [simplify]: iters left: 4 (143 enodes) 257.341 * * [simplify]: iters left: 3 (232 enodes) 257.406 * * [simplify]: iters left: 2 (365 enodes) 257.514 * * [simplify]: Extracting #0: cost 1 inf + 0 257.514 * * [simplify]: Extracting #1: cost 23 inf + 0 257.514 * * [simplify]: Extracting #2: cost 48 inf + 0 257.515 * * [simplify]: Extracting #3: cost 65 inf + 0 257.515 * * [simplify]: Extracting #4: cost 118 inf + 1 257.515 * * [simplify]: Extracting #5: cost 147 inf + 341 257.517 * * [simplify]: Extracting #6: cost 102 inf + 6325 257.521 * * [simplify]: Extracting #7: cost 38 inf + 29229 257.528 * * [simplify]: Extracting #8: cost 5 inf + 52555 257.536 * * [simplify]: Extracting #9: cost 0 inf + 55845 257.552 * * [simplify]: Extracting #10: cost 0 inf + 55585 257.562 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 257.562 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 257.562 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 257.562 * * [simplify]: iters left: 6 (19 enodes) 257.567 * * [simplify]: iters left: 5 (74 enodes) 257.582 * * [simplify]: iters left: 4 (108 enodes) 257.614 * * [simplify]: iters left: 3 (153 enodes) 257.641 * * [simplify]: iters left: 2 (251 enodes) 257.715 * * [simplify]: iters left: 1 (423 enodes) 257.864 * * [simplify]: Extracting #0: cost 1 inf + 0 257.864 * * [simplify]: Extracting #1: cost 8 inf + 0 257.864 * * [simplify]: Extracting #2: cost 17 inf + 0 257.864 * * [simplify]: Extracting #3: cost 48 inf + 0 257.864 * * [simplify]: Extracting #4: cost 133 inf + 1 257.865 * * [simplify]: Extracting #5: cost 197 inf + 427 257.867 * * [simplify]: Extracting #6: cost 135 inf + 11861 257.873 * * [simplify]: Extracting #7: cost 44 inf + 43442 257.887 * * [simplify]: Extracting #8: cost 2 inf + 75207 257.904 * * [simplify]: Extracting #9: cost 0 inf + 76453 257.915 * * [simplify]: Extracting #10: cost 0 inf + 76016 257.934 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 257.934 * [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 (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 257.935 * * * * [progress]: [ 278 / 675 ] simplifiying candidate # 257.935 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 257.935 * * [simplify]: iters left: 6 (22 enodes) 257.947 * * [simplify]: iters left: 5 (87 enodes) 257.978 * * [simplify]: iters left: 4 (135 enodes) 258.004 * * [simplify]: iters left: 3 (195 enodes) 258.048 * * [simplify]: iters left: 2 (286 enodes) 258.117 * * [simplify]: iters left: 1 (473 enodes) 258.287 * * [simplify]: Extracting #0: cost 1 inf + 0 258.288 * * [simplify]: Extracting #1: cost 15 inf + 0 258.288 * * [simplify]: Extracting #2: cost 32 inf + 0 258.288 * * [simplify]: Extracting #3: cost 67 inf + 0 258.288 * * [simplify]: Extracting #4: cost 146 inf + 1 258.289 * * [simplify]: Extracting #5: cost 201 inf + 302 258.291 * * [simplify]: Extracting #6: cost 131 inf + 13773 258.301 * * [simplify]: Extracting #7: cost 35 inf + 55469 258.326 * * [simplify]: Extracting #8: cost 0 inf + 83273 258.354 * * [simplify]: Extracting #9: cost 0 inf + 82067 258.379 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (fabs (cbrt k))))) 258.379 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 258.379 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 258.380 * * [simplify]: iters left: 6 (19 enodes) 258.389 * * [simplify]: iters left: 5 (74 enodes) 258.412 * * [simplify]: iters left: 4 (108 enodes) 258.429 * * [simplify]: iters left: 3 (153 enodes) 258.471 * * [simplify]: iters left: 2 (251 enodes) 258.545 * * [simplify]: iters left: 1 (423 enodes) 258.722 * * [simplify]: Extracting #0: cost 1 inf + 0 258.722 * * [simplify]: Extracting #1: cost 8 inf + 0 258.722 * * [simplify]: Extracting #2: cost 17 inf + 0 258.722 * * [simplify]: Extracting #3: cost 48 inf + 0 258.723 * * [simplify]: Extracting #4: cost 133 inf + 1 258.725 * * [simplify]: Extracting #5: cost 197 inf + 427 258.729 * * [simplify]: Extracting #6: cost 135 inf + 11941 258.741 * * [simplify]: Extracting #7: cost 44 inf + 43522 258.762 * * [simplify]: Extracting #8: cost 2 inf + 75287 258.784 * * [simplify]: Extracting #9: cost 0 inf + 76533 258.805 * * [simplify]: Extracting #10: cost 0 inf + 76096 258.816 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 258.816 * [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 (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 258.817 * * * * [progress]: [ 279 / 675 ] simplifiying candidate # 258.817 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 258.817 * * [simplify]: iters left: 6 (18 enodes) 258.822 * * [simplify]: iters left: 5 (74 enodes) 258.834 * * [simplify]: iters left: 4 (110 enodes) 258.860 * * [simplify]: iters left: 3 (163 enodes) 258.892 * * [simplify]: iters left: 2 (269 enodes) 258.948 * * [simplify]: iters left: 1 (462 enodes) 259.105 * * [simplify]: Extracting #0: cost 1 inf + 0 259.105 * * [simplify]: Extracting #1: cost 11 inf + 0 259.106 * * [simplify]: Extracting #2: cost 23 inf + 0 259.106 * * [simplify]: Extracting #3: cost 53 inf + 0 259.107 * * [simplify]: Extracting #4: cost 132 inf + 2 259.108 * * [simplify]: Extracting #5: cost 193 inf + 1228 259.111 * * [simplify]: Extracting #6: cost 159 inf + 4583 259.119 * * [simplify]: Extracting #7: cost 81 inf + 19027 259.133 * * [simplify]: Extracting #8: cost 32 inf + 47037 259.154 * * [simplify]: Extracting #9: cost 0 inf + 75688 259.166 * * [simplify]: Extracting #10: cost 0 inf + 73694 259.177 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt k))) 259.177 * [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))))) (fabs (cbrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 259.178 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 259.178 * * [simplify]: iters left: 6 (16 enodes) 259.182 * * [simplify]: iters left: 5 (65 enodes) 259.193 * * [simplify]: iters left: 4 (98 enodes) 259.216 * * [simplify]: iters left: 3 (138 enodes) 259.266 * * [simplify]: iters left: 2 (218 enodes) 259.320 * * [simplify]: iters left: 1 (395 enodes) 259.466 * * [simplify]: Extracting #0: cost 1 inf + 0 259.466 * * [simplify]: Extracting #1: cost 6 inf + 0 259.466 * * [simplify]: Extracting #2: cost 12 inf + 0 259.466 * * [simplify]: Extracting #3: cost 41 inf + 0 259.466 * * [simplify]: Extracting #4: cost 115 inf + 2 259.467 * * [simplify]: Extracting #5: cost 159 inf + 788 259.469 * * [simplify]: Extracting #6: cost 112 inf + 9074 259.475 * * [simplify]: Extracting #7: cost 32 inf + 42557 259.487 * * [simplify]: Extracting #8: cost 0 inf + 66991 259.507 * * [simplify]: Extracting #9: cost 0 inf + 65779 259.526 * * [simplify]: Extracting #10: cost 0 inf + 65609 259.546 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 259.546 * [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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 259.547 * * * * [progress]: [ 280 / 675 ] simplifiying candidate # 259.547 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 259.547 * * [simplify]: iters left: 6 (21 enodes) 259.563 * * [simplify]: iters left: 5 (83 enodes) 259.590 * * [simplify]: iters left: 4 (131 enodes) 259.631 * * [simplify]: iters left: 3 (191 enodes) 259.692 * * [simplify]: iters left: 2 (282 enodes) 259.795 * * [simplify]: iters left: 1 (465 enodes) 260.010 * * [simplify]: Extracting #0: cost 1 inf + 0 260.010 * * [simplify]: Extracting #1: cost 15 inf + 0 260.011 * * [simplify]: Extracting #2: cost 31 inf + 0 260.011 * * [simplify]: Extracting #3: cost 66 inf + 0 260.012 * * [simplify]: Extracting #4: cost 146 inf + 1 260.014 * * [simplify]: Extracting #5: cost 201 inf + 301 260.018 * * [simplify]: Extracting #6: cost 137 inf + 10338 260.029 * * [simplify]: Extracting #7: cost 55 inf + 40052 260.051 * * [simplify]: Extracting #8: cost 5 inf + 80656 260.078 * * [simplify]: Extracting #9: cost 0 inf + 84135 260.090 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 260.090 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 260.090 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 260.090 * * [simplify]: iters left: 6 (19 enodes) 260.095 * * [simplify]: iters left: 5 (74 enodes) 260.108 * * [simplify]: iters left: 4 (108 enodes) 260.138 * * [simplify]: iters left: 3 (153 enodes) 260.186 * * [simplify]: iters left: 2 (251 enodes) 260.252 * * [simplify]: iters left: 1 (423 enodes) 260.396 * * [simplify]: Extracting #0: cost 1 inf + 0 260.396 * * [simplify]: Extracting #1: cost 8 inf + 0 260.396 * * [simplify]: Extracting #2: cost 17 inf + 0 260.396 * * [simplify]: Extracting #3: cost 48 inf + 0 260.396 * * [simplify]: Extracting #4: cost 133 inf + 1 260.397 * * [simplify]: Extracting #5: cost 197 inf + 427 260.399 * * [simplify]: Extracting #6: cost 135 inf + 11861 260.405 * * [simplify]: Extracting #7: cost 44 inf + 43242 260.416 * * [simplify]: Extracting #8: cost 2 inf + 74887 260.432 * * [simplify]: Extracting #9: cost 0 inf + 76133 260.446 * * [simplify]: Extracting #10: cost 0 inf + 75696 260.457 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 260.458 * [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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 260.458 * * * * [progress]: [ 281 / 675 ] simplifiying candidate # 260.458 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 260.458 * * [simplify]: iters left: 6 (20 enodes) 260.471 * * [simplify]: iters left: 5 (80 enodes) 260.490 * * [simplify]: iters left: 4 (121 enodes) 260.509 * * [simplify]: iters left: 3 (172 enodes) 260.563 * * [simplify]: iters left: 2 (263 enodes) 260.631 * * [simplify]: iters left: 1 (449 enodes) 260.834 * * [simplify]: Extracting #0: cost 1 inf + 0 260.834 * * [simplify]: Extracting #1: cost 9 inf + 0 260.834 * * [simplify]: Extracting #2: cost 16 inf + 1 260.834 * * [simplify]: Extracting #3: cost 48 inf + 1 260.834 * * [simplify]: Extracting #4: cost 134 inf + 2 260.835 * * [simplify]: Extracting #5: cost 180 inf + 343 260.837 * * [simplify]: Extracting #6: cost 135 inf + 8175 260.844 * * [simplify]: Extracting #7: cost 30 inf + 53061 260.857 * * [simplify]: Extracting #8: cost 1 inf + 68885 260.880 * * [simplify]: Extracting #9: cost 0 inf + 68284 260.905 * * [simplify]: Extracting #10: cost 0 inf + 67604 260.921 * * [simplify]: Extracting #11: cost 0 inf + 67514 260.945 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (fabs (cbrt k)))) 260.945 * [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 (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 260.946 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 260.946 * * [simplify]: iters left: 6 (18 enodes) 260.955 * * [simplify]: iters left: 5 (71 enodes) 260.975 * * [simplify]: iters left: 4 (109 enodes) 260.994 * * [simplify]: iters left: 3 (153 enodes) 261.028 * * [simplify]: iters left: 2 (234 enodes) 261.090 * * [simplify]: iters left: 1 (413 enodes) 261.221 * * [simplify]: Extracting #0: cost 1 inf + 0 261.221 * * [simplify]: Extracting #1: cost 8 inf + 0 261.221 * * [simplify]: Extracting #2: cost 17 inf + 0 261.222 * * [simplify]: Extracting #3: cost 49 inf + 0 261.222 * * [simplify]: Extracting #4: cost 124 inf + 124 261.223 * * [simplify]: Extracting #5: cost 166 inf + 2188 261.225 * * [simplify]: Extracting #6: cost 109 inf + 13374 261.230 * * [simplify]: Extracting #7: cost 40 inf + 36174 261.245 * * [simplify]: Extracting #8: cost 6 inf + 65412 261.265 * * [simplify]: Extracting #9: cost 0 inf + 71330 261.276 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 261.276 * [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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 261.276 * * * * [progress]: [ 282 / 675 ] simplifiying candidate # 261.276 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 261.276 * * [simplify]: iters left: 6 (21 enodes) 261.282 * * [simplify]: iters left: 5 (83 enodes) 261.295 * * [simplify]: iters left: 4 (131 enodes) 261.325 * * [simplify]: iters left: 3 (191 enodes) 261.361 * * [simplify]: iters left: 2 (282 enodes) 261.432 * * [simplify]: iters left: 1 (465 enodes) 261.606 * * [simplify]: Extracting #0: cost 1 inf + 0 261.606 * * [simplify]: Extracting #1: cost 15 inf + 0 261.607 * * [simplify]: Extracting #2: cost 31 inf + 0 261.607 * * [simplify]: Extracting #3: cost 66 inf + 0 261.608 * * [simplify]: Extracting #4: cost 146 inf + 1 261.609 * * [simplify]: Extracting #5: cost 201 inf + 301 261.618 * * [simplify]: Extracting #6: cost 137 inf + 10338 261.629 * * [simplify]: Extracting #7: cost 55 inf + 40052 261.641 * * [simplify]: Extracting #8: cost 5 inf + 80656 261.652 * * [simplify]: Extracting #9: cost 0 inf + 84135 261.671 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 261.671 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 261.672 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 261.672 * * [simplify]: iters left: 6 (19 enodes) 261.678 * * [simplify]: iters left: 5 (74 enodes) 261.689 * * [simplify]: iters left: 4 (108 enodes) 261.711 * * [simplify]: iters left: 3 (153 enodes) 261.752 * * [simplify]: iters left: 2 (251 enodes) 261.811 * * [simplify]: iters left: 1 (423 enodes) 262.008 * * [simplify]: Extracting #0: cost 1 inf + 0 262.008 * * [simplify]: Extracting #1: cost 8 inf + 0 262.008 * * [simplify]: Extracting #2: cost 17 inf + 0 262.008 * * [simplify]: Extracting #3: cost 48 inf + 0 262.009 * * [simplify]: Extracting #4: cost 133 inf + 1 262.010 * * [simplify]: Extracting #5: cost 197 inf + 427 262.015 * * [simplify]: Extracting #6: cost 135 inf + 11861 262.027 * * [simplify]: Extracting #7: cost 44 inf + 43242 262.053 * * [simplify]: Extracting #8: cost 2 inf + 74887 262.076 * * [simplify]: Extracting #9: cost 0 inf + 76133 262.088 * * [simplify]: Extracting #10: cost 0 inf + 75696 262.099 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 262.099 * [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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 262.099 * * * * [progress]: [ 283 / 675 ] simplifiying candidate # 262.100 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 262.100 * * [simplify]: iters left: 6 (19 enodes) 262.105 * * [simplify]: iters left: 5 (77 enodes) 262.129 * * [simplify]: iters left: 4 (114 enodes) 262.167 * * [simplify]: iters left: 3 (172 enodes) 262.225 * * [simplify]: iters left: 2 (284 enodes) 262.291 * * [simplify]: iters left: 1 (472 enodes) 262.433 * * [simplify]: Extracting #0: cost 1 inf + 0 262.433 * * [simplify]: Extracting #1: cost 9 inf + 0 262.433 * * [simplify]: Extracting #2: cost 16 inf + 1 262.433 * * [simplify]: Extracting #3: cost 48 inf + 1 262.433 * * [simplify]: Extracting #4: cost 135 inf + 2 262.434 * * [simplify]: Extracting #5: cost 194 inf + 178 262.436 * * [simplify]: Extracting #6: cost 131 inf + 10270 262.442 * * [simplify]: Extracting #7: cost 42 inf + 40582 262.453 * * [simplify]: Extracting #8: cost 1 inf + 77077 262.476 * * [simplify]: Extracting #9: cost 0 inf + 77505 262.500 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) 262.500 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 262.501 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 262.501 * * [simplify]: iters left: 6 (18 enodes) 262.509 * * [simplify]: iters left: 5 (71 enodes) 262.532 * * [simplify]: iters left: 4 (109 enodes) 262.569 * * [simplify]: iters left: 3 (153 enodes) 262.617 * * [simplify]: iters left: 2 (234 enodes) 262.693 * * [simplify]: iters left: 1 (413 enodes) 262.831 * * [simplify]: Extracting #0: cost 1 inf + 0 262.831 * * [simplify]: Extracting #1: cost 8 inf + 0 262.831 * * [simplify]: Extracting #2: cost 17 inf + 0 262.831 * * [simplify]: Extracting #3: cost 49 inf + 0 262.831 * * [simplify]: Extracting #4: cost 124 inf + 124 262.832 * * [simplify]: Extracting #5: cost 166 inf + 2188 262.834 * * [simplify]: Extracting #6: cost 109 inf + 13374 262.843 * * [simplify]: Extracting #7: cost 40 inf + 36174 262.860 * * [simplify]: Extracting #8: cost 6 inf + 65412 262.880 * * [simplify]: Extracting #9: cost 0 inf + 71330 262.900 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 262.900 * [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 (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 262.901 * * * * [progress]: [ 284 / 675 ] simplifiying candidate # 262.901 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 262.901 * * [simplify]: iters left: 6 (21 enodes) 262.912 * * [simplify]: iters left: 5 (83 enodes) 262.936 * * [simplify]: iters left: 4 (131 enodes) 262.956 * * [simplify]: iters left: 3 (191 enodes) 262.991 * * [simplify]: iters left: 2 (282 enodes) 263.082 * * [simplify]: iters left: 1 (465 enodes) 263.271 * * [simplify]: Extracting #0: cost 1 inf + 0 263.271 * * [simplify]: Extracting #1: cost 15 inf + 0 263.271 * * [simplify]: Extracting #2: cost 31 inf + 0 263.271 * * [simplify]: Extracting #3: cost 66 inf + 0 263.272 * * [simplify]: Extracting #4: cost 146 inf + 1 263.274 * * [simplify]: Extracting #5: cost 201 inf + 301 263.278 * * [simplify]: Extracting #6: cost 137 inf + 10338 263.287 * * [simplify]: Extracting #7: cost 55 inf + 40052 263.299 * * [simplify]: Extracting #8: cost 5 inf + 80656 263.311 * * [simplify]: Extracting #9: cost 0 inf + 84135 263.323 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 263.324 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 263.324 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 263.324 * * [simplify]: iters left: 6 (19 enodes) 263.330 * * [simplify]: iters left: 5 (74 enodes) 263.342 * * [simplify]: iters left: 4 (108 enodes) 263.365 * * [simplify]: iters left: 3 (153 enodes) 263.408 * * [simplify]: iters left: 2 (251 enodes) 263.478 * * [simplify]: iters left: 1 (423 enodes) 263.628 * * [simplify]: Extracting #0: cost 1 inf + 0 263.628 * * [simplify]: Extracting #1: cost 8 inf + 0 263.628 * * [simplify]: Extracting #2: cost 17 inf + 0 263.628 * * [simplify]: Extracting #3: cost 48 inf + 0 263.628 * * [simplify]: Extracting #4: cost 133 inf + 1 263.629 * * [simplify]: Extracting #5: cost 197 inf + 427 263.631 * * [simplify]: Extracting #6: cost 135 inf + 11861 263.641 * * [simplify]: Extracting #7: cost 44 inf + 43242 263.652 * * [simplify]: Extracting #8: cost 2 inf + 74887 263.663 * * [simplify]: Extracting #9: cost 0 inf + 76133 263.680 * * [simplify]: Extracting #10: cost 0 inf + 75696 263.702 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 263.703 * [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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 263.703 * * * * [progress]: [ 285 / 675 ] simplifiying candidate # 263.703 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 263.703 * * [simplify]: iters left: 6 (18 enodes) 263.713 * * [simplify]: iters left: 5 (72 enodes) 263.736 * * [simplify]: iters left: 4 (112 enodes) 263.775 * * [simplify]: iters left: 3 (168 enodes) 263.832 * * [simplify]: iters left: 2 (275 enodes) 263.925 * * [simplify]: iters left: 1 (451 enodes) 264.097 * * [simplify]: Extracting #0: cost 1 inf + 0 264.097 * * [simplify]: Extracting #1: cost 9 inf + 0 264.097 * * [simplify]: Extracting #2: cost 16 inf + 1 264.098 * * [simplify]: Extracting #3: cost 48 inf + 1 264.098 * * [simplify]: Extracting #4: cost 133 inf + 2 264.100 * * [simplify]: Extracting #5: cost 189 inf + 260 264.103 * * [simplify]: Extracting #6: cost 147 inf + 5217 264.118 * * [simplify]: Extracting #7: cost 33 inf + 51480 264.144 * * [simplify]: Extracting #8: cost 0 inf + 76485 264.167 * * [simplify]: Extracting #9: cost 0 inf + 74673 264.180 * * [simplify]: Extracting #10: cost 0 inf + 74301 264.194 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 264.194 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 264.194 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 264.194 * * [simplify]: iters left: 6 (18 enodes) 264.202 * * [simplify]: iters left: 5 (71 enodes) 264.226 * * [simplify]: iters left: 4 (109 enodes) 264.243 * * [simplify]: iters left: 3 (153 enodes) 264.280 * * [simplify]: iters left: 2 (234 enodes) 264.337 * * [simplify]: iters left: 1 (413 enodes) 264.516 * * [simplify]: Extracting #0: cost 1 inf + 0 264.516 * * [simplify]: Extracting #1: cost 8 inf + 0 264.516 * * [simplify]: Extracting #2: cost 17 inf + 0 264.516 * * [simplify]: Extracting #3: cost 49 inf + 0 264.517 * * [simplify]: Extracting #4: cost 124 inf + 124 264.518 * * [simplify]: Extracting #5: cost 166 inf + 2188 264.523 * * [simplify]: Extracting #6: cost 109 inf + 13374 264.533 * * [simplify]: Extracting #7: cost 40 inf + 36174 264.551 * * [simplify]: Extracting #8: cost 6 inf + 65412 264.561 * * [simplify]: Extracting #9: cost 0 inf + 71330 264.571 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 264.571 * [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 (* (cbrt k) (cbrt k))))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 264.571 * * * * [progress]: [ 286 / 675 ] simplifiying candidate # 264.571 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 264.571 * * [simplify]: iters left: 6 (19 enodes) 264.577 * * [simplify]: iters left: 5 (78 enodes) 264.590 * * [simplify]: iters left: 4 (129 enodes) 264.630 * * [simplify]: iters left: 3 (219 enodes) 264.705 * * [simplify]: iters left: 2 (368 enodes) 264.837 * * [simplify]: Extracting #0: cost 1 inf + 0 264.837 * * [simplify]: Extracting #1: cost 23 inf + 0 264.837 * * [simplify]: Extracting #2: cost 47 inf + 0 264.838 * * [simplify]: Extracting #3: cost 61 inf + 0 264.838 * * [simplify]: Extracting #4: cost 111 inf + 1 264.839 * * [simplify]: Extracting #5: cost 136 inf + 591 264.842 * * [simplify]: Extracting #6: cost 91 inf + 6794 264.850 * * [simplify]: Extracting #7: cost 33 inf + 28771 264.865 * * [simplify]: Extracting #8: cost 0 inf + 51875 264.882 * * [simplify]: Extracting #9: cost 0 inf + 51835 264.898 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 264.898 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 264.898 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 264.898 * * [simplify]: iters left: 6 (17 enodes) 264.903 * * [simplify]: iters left: 5 (68 enodes) 264.914 * * [simplify]: iters left: 4 (106 enodes) 264.933 * * [simplify]: iters left: 3 (151 enodes) 264.981 * * [simplify]: iters left: 2 (232 enodes) 265.068 * * [simplify]: iters left: 1 (413 enodes) 265.220 * * [simplify]: Extracting #0: cost 1 inf + 0 265.221 * * [simplify]: Extracting #1: cost 8 inf + 0 265.221 * * [simplify]: Extracting #2: cost 16 inf + 0 265.221 * * [simplify]: Extracting #3: cost 45 inf + 0 265.221 * * [simplify]: Extracting #4: cost 128 inf + 1 265.222 * * [simplify]: Extracting #5: cost 180 inf + 677 265.224 * * [simplify]: Extracting #6: cost 128 inf + 10512 265.236 * * [simplify]: Extracting #7: cost 24 inf + 51860 265.263 * * [simplify]: Extracting #8: cost 0 inf + 62968 265.285 * * [simplify]: Extracting #9: cost 0 inf + 61851 265.300 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 265.300 * [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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 265.301 * * * * [progress]: [ 287 / 675 ] simplifiying candidate # 265.301 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 265.301 * * [simplify]: iters left: 6 (20 enodes) 265.306 * * [simplify]: iters left: 5 (80 enodes) 265.328 * * [simplify]: iters left: 4 (128 enodes) 265.357 * * [simplify]: iters left: 3 (188 enodes) 265.390 * * [simplify]: iters left: 2 (279 enodes) 265.451 * * [simplify]: iters left: 1 (472 enodes) 265.640 * * [simplify]: Extracting #0: cost 1 inf + 0 265.641 * * [simplify]: Extracting #1: cost 15 inf + 0 265.641 * * [simplify]: Extracting #2: cost 32 inf + 0 265.641 * * [simplify]: Extracting #3: cost 65 inf + 0 265.641 * * [simplify]: Extracting #4: cost 152 inf + 1 265.642 * * [simplify]: Extracting #5: cost 209 inf + 260 265.644 * * [simplify]: Extracting #6: cost 140 inf + 13993 265.652 * * [simplify]: Extracting #7: cost 41 inf + 53023 265.666 * * [simplify]: Extracting #8: cost 2 inf + 84821 265.693 * * [simplify]: Extracting #9: cost 0 inf + 85968 265.723 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) 265.723 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 265.724 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 265.724 * * [simplify]: iters left: 6 (18 enodes) 265.734 * * [simplify]: iters left: 5 (71 enodes) 265.756 * * [simplify]: iters left: 4 (109 enodes) 265.773 * * [simplify]: iters left: 3 (153 enodes) 265.813 * * [simplify]: iters left: 2 (234 enodes) 265.901 * * [simplify]: iters left: 1 (413 enodes) 266.093 * * [simplify]: Extracting #0: cost 1 inf + 0 266.093 * * [simplify]: Extracting #1: cost 8 inf + 0 266.093 * * [simplify]: Extracting #2: cost 17 inf + 0 266.093 * * [simplify]: Extracting #3: cost 48 inf + 0 266.093 * * [simplify]: Extracting #4: cost 127 inf + 1 266.094 * * [simplify]: Extracting #5: cost 177 inf + 1176 266.096 * * [simplify]: Extracting #6: cost 116 inf + 12643 266.101 * * [simplify]: Extracting #7: cost 40 inf + 36334 266.119 * * [simplify]: Extracting #8: cost 6 inf + 65572 266.139 * * [simplify]: Extracting #9: cost 0 inf + 71490 266.160 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 266.160 * [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 (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 266.160 * * * * [progress]: [ 288 / 675 ] simplifiying candidate # 266.161 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 266.161 * * [simplify]: iters left: 6 (21 enodes) 266.172 * * [simplify]: iters left: 5 (83 enodes) 266.189 * * [simplify]: iters left: 4 (131 enodes) 266.213 * * [simplify]: iters left: 3 (191 enodes) 266.259 * * [simplify]: iters left: 2 (282 enodes) 266.341 * * [simplify]: iters left: 1 (465 enodes) 266.509 * * [simplify]: Extracting #0: cost 1 inf + 0 266.509 * * [simplify]: Extracting #1: cost 15 inf + 0 266.510 * * [simplify]: Extracting #2: cost 31 inf + 0 266.510 * * [simplify]: Extracting #3: cost 66 inf + 0 266.511 * * [simplify]: Extracting #4: cost 146 inf + 1 266.512 * * [simplify]: Extracting #5: cost 201 inf + 301 266.515 * * [simplify]: Extracting #6: cost 138 inf + 10511 266.521 * * [simplify]: Extracting #7: cost 56 inf + 39811 266.532 * * [simplify]: Extracting #8: cost 5 inf + 80656 266.547 * * [simplify]: Extracting #9: cost 0 inf + 84135 266.564 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 266.564 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 266.565 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 266.565 * * [simplify]: iters left: 6 (19 enodes) 266.572 * * [simplify]: iters left: 5 (74 enodes) 266.585 * * [simplify]: iters left: 4 (108 enodes) 266.610 * * [simplify]: iters left: 3 (153 enodes) 266.641 * * [simplify]: iters left: 2 (251 enodes) 266.699 * * [simplify]: iters left: 1 (423 enodes) 266.855 * * [simplify]: Extracting #0: cost 1 inf + 0 266.855 * * [simplify]: Extracting #1: cost 8 inf + 0 266.856 * * [simplify]: Extracting #2: cost 17 inf + 0 266.856 * * [simplify]: Extracting #3: cost 48 inf + 0 266.856 * * [simplify]: Extracting #4: cost 133 inf + 1 266.858 * * [simplify]: Extracting #5: cost 197 inf + 427 266.863 * * [simplify]: Extracting #6: cost 135 inf + 11701 266.875 * * [simplify]: Extracting #7: cost 44 inf + 43202 266.897 * * [simplify]: Extracting #8: cost 2 inf + 74887 266.920 * * [simplify]: Extracting #9: cost 0 inf + 76133 266.943 * * [simplify]: Extracting #10: cost 0 inf + 75696 266.964 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 266.964 * [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 (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 266.965 * * * * [progress]: [ 289 / 675 ] simplifiying candidate # 266.965 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 266.965 * * [simplify]: iters left: 6 (17 enodes) 266.978 * * [simplify]: iters left: 5 (70 enodes) 267.002 * * [simplify]: iters left: 4 (110 enodes) 267.036 * * [simplify]: iters left: 3 (162 enodes) 267.083 * * [simplify]: iters left: 2 (248 enodes) 267.149 * * [simplify]: iters left: 1 (427 enodes) 267.330 * * [simplify]: Extracting #0: cost 1 inf + 0 267.330 * * [simplify]: Extracting #1: cost 11 inf + 0 267.330 * * [simplify]: Extracting #2: cost 22 inf + 0 267.330 * * [simplify]: Extracting #3: cost 51 inf + 0 267.330 * * [simplify]: Extracting #4: cost 129 inf + 2 267.331 * * [simplify]: Extracting #5: cost 176 inf + 871 267.334 * * [simplify]: Extracting #6: cost 98 inf + 20339 267.344 * * [simplify]: Extracting #7: cost 16 inf + 55539 267.371 * * [simplify]: Extracting #8: cost 0 inf + 65607 267.388 * * [simplify]: Extracting #9: cost 0 inf + 63133 267.403 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 267.403 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 267.404 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 267.404 * * [simplify]: iters left: 6 (16 enodes) 267.413 * * [simplify]: iters left: 5 (65 enodes) 267.438 * * [simplify]: iters left: 4 (98 enodes) 267.468 * * [simplify]: iters left: 3 (138 enodes) 267.512 * * [simplify]: iters left: 2 (218 enodes) 267.567 * * [simplify]: iters left: 1 (395 enodes) 267.694 * * [simplify]: Extracting #0: cost 1 inf + 0 267.694 * * [simplify]: Extracting #1: cost 6 inf + 0 267.694 * * [simplify]: Extracting #2: cost 12 inf + 0 267.694 * * [simplify]: Extracting #3: cost 41 inf + 0 267.695 * * [simplify]: Extracting #4: cost 115 inf + 2 267.696 * * [simplify]: Extracting #5: cost 159 inf + 628 267.700 * * [simplify]: Extracting #6: cost 112 inf + 8834 267.712 * * [simplify]: Extracting #7: cost 32 inf + 42197 267.735 * * [simplify]: Extracting #8: cost 0 inf + 66591 267.755 * * [simplify]: Extracting #9: cost 0 inf + 65379 267.776 * * [simplify]: Extracting #10: cost 0 inf + 65209 267.796 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 267.796 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 267.796 * * * * [progress]: [ 290 / 675 ] simplifiying candidate # 267.797 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 267.797 * * [simplify]: iters left: 6 (19 enodes) 267.809 * * [simplify]: iters left: 5 (76 enodes) 267.832 * * [simplify]: iters left: 4 (113 enodes) 267.867 * * [simplify]: iters left: 3 (171 enodes) 267.927 * * [simplify]: iters left: 2 (280 enodes) 268.021 * * [simplify]: iters left: 1 (453 enodes) 268.169 * * [simplify]: Extracting #0: cost 1 inf + 0 268.169 * * [simplify]: Extracting #1: cost 9 inf + 0 268.169 * * [simplify]: Extracting #2: cost 16 inf + 1 268.169 * * [simplify]: Extracting #3: cost 45 inf + 1 268.169 * * [simplify]: Extracting #4: cost 122 inf + 2 268.170 * * [simplify]: Extracting #5: cost 190 inf + 260 268.172 * * [simplify]: Extracting #6: cost 137 inf + 8567 268.178 * * [simplify]: Extracting #7: cost 44 inf + 35670 268.194 * * [simplify]: Extracting #8: cost 15 inf + 56209 268.216 * * [simplify]: Extracting #9: cost 0 inf + 68801 268.239 * * [simplify]: Extracting #10: cost 0 inf + 68215 268.263 * * [simplify]: Extracting #11: cost 0 inf + 67957 268.276 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) 268.276 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 268.277 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 268.277 * * [simplify]: iters left: 6 (16 enodes) 268.281 * * [simplify]: iters left: 5 (65 enodes) 268.292 * * [simplify]: iters left: 4 (103 enodes) 268.310 * * [simplify]: iters left: 3 (144 enodes) 268.335 * * [simplify]: iters left: 2 (224 enodes) 268.387 * * [simplify]: iters left: 1 (403 enodes) 268.542 * * [simplify]: Extracting #0: cost 1 inf + 0 268.542 * * [simplify]: Extracting #1: cost 8 inf + 0 268.542 * * [simplify]: Extracting #2: cost 16 inf + 0 268.542 * * [simplify]: Extracting #3: cost 49 inf + 0 268.543 * * [simplify]: Extracting #4: cost 127 inf + 2 268.543 * * [simplify]: Extracting #5: cost 168 inf + 867 268.545 * * [simplify]: Extracting #6: cost 124 inf + 7664 268.550 * * [simplify]: Extracting #7: cost 63 inf + 22810 268.558 * * [simplify]: Extracting #8: cost 16 inf + 58499 268.568 * * [simplify]: Extracting #9: cost 0 inf + 74301 268.589 * * [simplify]: Extracting #10: cost 0 inf + 74184 268.610 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 268.610 * [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 (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 268.610 * * * * [progress]: [ 291 / 675 ] simplifiying candidate # 268.610 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 268.611 * * [simplify]: iters left: 6 (17 enodes) 268.619 * * [simplify]: iters left: 5 (70 enodes) 268.632 * * [simplify]: iters left: 4 (110 enodes) 268.649 * * [simplify]: iters left: 3 (162 enodes) 268.694 * * [simplify]: iters left: 2 (248 enodes) 268.755 * * [simplify]: iters left: 1 (427 enodes) 268.957 * * [simplify]: Extracting #0: cost 1 inf + 0 268.957 * * [simplify]: Extracting #1: cost 11 inf + 0 268.957 * * [simplify]: Extracting #2: cost 22 inf + 0 268.958 * * [simplify]: Extracting #3: cost 51 inf + 0 268.958 * * [simplify]: Extracting #4: cost 129 inf + 2 268.960 * * [simplify]: Extracting #5: cost 176 inf + 871 268.966 * * [simplify]: Extracting #6: cost 98 inf + 20339 268.985 * * [simplify]: Extracting #7: cost 16 inf + 55539 269.008 * * [simplify]: Extracting #8: cost 0 inf + 65607 269.025 * * [simplify]: Extracting #9: cost 0 inf + 63133 269.058 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 269.058 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 269.058 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 269.059 * * [simplify]: iters left: 6 (16 enodes) 269.065 * * [simplify]: iters left: 5 (65 enodes) 269.076 * * [simplify]: iters left: 4 (98 enodes) 269.092 * * [simplify]: iters left: 3 (138 enodes) 269.136 * * [simplify]: iters left: 2 (218 enodes) 269.210 * * [simplify]: iters left: 1 (395 enodes) 269.373 * * [simplify]: Extracting #0: cost 1 inf + 0 269.373 * * [simplify]: Extracting #1: cost 6 inf + 0 269.374 * * [simplify]: Extracting #2: cost 12 inf + 0 269.374 * * [simplify]: Extracting #3: cost 41 inf + 0 269.374 * * [simplify]: Extracting #4: cost 115 inf + 2 269.375 * * [simplify]: Extracting #5: cost 159 inf + 628 269.376 * * [simplify]: Extracting #6: cost 112 inf + 8834 269.382 * * [simplify]: Extracting #7: cost 32 inf + 42197 269.392 * * [simplify]: Extracting #8: cost 0 inf + 66591 269.406 * * [simplify]: Extracting #9: cost 0 inf + 65379 269.425 * * [simplify]: Extracting #10: cost 0 inf + 65209 269.446 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 269.446 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 269.446 * * * * [progress]: [ 292 / 675 ] simplifiying candidate # 269.447 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 269.447 * * [simplify]: iters left: 6 (18 enodes) 269.456 * * [simplify]: iters left: 5 (73 enodes) 269.469 * * [simplify]: iters left: 4 (114 enodes) 269.489 * * [simplify]: iters left: 3 (171 enodes) 269.521 * * [simplify]: iters left: 2 (263 enodes) 269.591 * * [simplify]: iters left: 1 (440 enodes) 269.763 * * [simplify]: Extracting #0: cost 1 inf + 0 269.763 * * [simplify]: Extracting #1: cost 9 inf + 0 269.763 * * [simplify]: Extracting #2: cost 16 inf + 1 269.763 * * [simplify]: Extracting #3: cost 46 inf + 1 269.764 * * [simplify]: Extracting #4: cost 121 inf + 2 269.764 * * [simplify]: Extracting #5: cost 177 inf + 343 269.766 * * [simplify]: Extracting #6: cost 129 inf + 7167 269.775 * * [simplify]: Extracting #7: cost 32 inf + 46973 269.796 * * [simplify]: Extracting #8: cost 1 inf + 70307 269.818 * * [simplify]: Extracting #9: cost 0 inf + 70084 269.839 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 269.839 * [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))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 269.840 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 269.840 * * [simplify]: iters left: 6 (16 enodes) 269.849 * * [simplify]: iters left: 5 (65 enodes) 269.869 * * [simplify]: iters left: 4 (103 enodes) 269.902 * * [simplify]: iters left: 3 (144 enodes) 269.951 * * [simplify]: iters left: 2 (224 enodes) 270.006 * * [simplify]: iters left: 1 (403 enodes) 270.163 * * [simplify]: Extracting #0: cost 1 inf + 0 270.163 * * [simplify]: Extracting #1: cost 8 inf + 0 270.163 * * [simplify]: Extracting #2: cost 16 inf + 0 270.164 * * [simplify]: Extracting #3: cost 49 inf + 0 270.164 * * [simplify]: Extracting #4: cost 127 inf + 2 270.166 * * [simplify]: Extracting #5: cost 168 inf + 867 270.169 * * [simplify]: Extracting #6: cost 124 inf + 7664 270.178 * * [simplify]: Extracting #7: cost 63 inf + 22810 270.186 * * [simplify]: Extracting #8: cost 16 inf + 58499 270.197 * * [simplify]: Extracting #9: cost 0 inf + 74301 270.215 * * [simplify]: Extracting #10: cost 0 inf + 74184 270.229 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 270.229 * [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 (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 270.229 * * * * [progress]: [ 293 / 675 ] simplifiying candidate # 270.229 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 270.230 * * [simplify]: iters left: 6 (17 enodes) 270.234 * * [simplify]: iters left: 5 (70 enodes) 270.245 * * [simplify]: iters left: 4 (110 enodes) 270.270 * * [simplify]: iters left: 3 (162 enodes) 270.300 * * [simplify]: iters left: 2 (248 enodes) 270.383 * * [simplify]: iters left: 1 (427 enodes) 270.541 * * [simplify]: Extracting #0: cost 1 inf + 0 270.541 * * [simplify]: Extracting #1: cost 11 inf + 0 270.541 * * [simplify]: Extracting #2: cost 22 inf + 0 270.541 * * [simplify]: Extracting #3: cost 51 inf + 0 270.541 * * [simplify]: Extracting #4: cost 129 inf + 2 270.542 * * [simplify]: Extracting #5: cost 176 inf + 871 270.545 * * [simplify]: Extracting #6: cost 98 inf + 20339 270.565 * * [simplify]: Extracting #7: cost 16 inf + 55539 270.593 * * [simplify]: Extracting #8: cost 0 inf + 65607 270.624 * * [simplify]: Extracting #9: cost 0 inf + 63133 270.648 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 270.648 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 270.649 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 270.649 * * [simplify]: iters left: 6 (16 enodes) 270.653 * * [simplify]: iters left: 5 (65 enodes) 270.664 * * [simplify]: iters left: 4 (98 enodes) 270.688 * * [simplify]: iters left: 3 (138 enodes) 270.711 * * [simplify]: iters left: 2 (218 enodes) 270.762 * * [simplify]: iters left: 1 (395 enodes) 270.953 * * [simplify]: Extracting #0: cost 1 inf + 0 270.953 * * [simplify]: Extracting #1: cost 6 inf + 0 270.953 * * [simplify]: Extracting #2: cost 12 inf + 0 270.954 * * [simplify]: Extracting #3: cost 41 inf + 0 270.954 * * [simplify]: Extracting #4: cost 115 inf + 2 270.955 * * [simplify]: Extracting #5: cost 159 inf + 628 270.957 * * [simplify]: Extracting #6: cost 112 inf + 8834 270.962 * * [simplify]: Extracting #7: cost 32 inf + 42197 270.972 * * [simplify]: Extracting #8: cost 0 inf + 66591 270.982 * * [simplify]: Extracting #9: cost 0 inf + 65379 270.995 * * [simplify]: Extracting #10: cost 0 inf + 65209 271.015 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 271.015 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 271.016 * * * * [progress]: [ 294 / 675 ] simplifiying candidate # 271.016 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) 271.016 * * [simplify]: iters left: 6 (17 enodes) 271.025 * * [simplify]: iters left: 5 (68 enodes) 271.042 * * [simplify]: iters left: 4 (112 enodes) 271.064 * * [simplify]: iters left: 3 (167 enodes) 271.116 * * [simplify]: iters left: 2 (257 enodes) 271.179 * * [simplify]: iters left: 1 (433 enodes) 271.374 * * [simplify]: Extracting #0: cost 1 inf + 0 271.374 * * [simplify]: Extracting #1: cost 9 inf + 0 271.374 * * [simplify]: Extracting #2: cost 16 inf + 1 271.375 * * [simplify]: Extracting #3: cost 46 inf + 1 271.375 * * [simplify]: Extracting #4: cost 123 inf + 2 271.381 * * [simplify]: Extracting #5: cost 170 inf + 302 271.384 * * [simplify]: Extracting #6: cost 124 inf + 5752 271.396 * * [simplify]: Extracting #7: cost 36 inf + 41694 271.416 * * [simplify]: Extracting #8: cost 2 inf + 68392 271.428 * * [simplify]: Extracting #9: cost 0 inf + 69255 271.440 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 271.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 271.441 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 271.441 * * [simplify]: iters left: 6 (16 enodes) 271.449 * * [simplify]: iters left: 5 (65 enodes) 271.460 * * [simplify]: iters left: 4 (103 enodes) 271.477 * * [simplify]: iters left: 3 (144 enodes) 271.523 * * [simplify]: iters left: 2 (224 enodes) 271.603 * * [simplify]: iters left: 1 (403 enodes) 271.746 * * [simplify]: Extracting #0: cost 1 inf + 0 271.746 * * [simplify]: Extracting #1: cost 8 inf + 0 271.746 * * [simplify]: Extracting #2: cost 16 inf + 0 271.746 * * [simplify]: Extracting #3: cost 49 inf + 0 271.747 * * [simplify]: Extracting #4: cost 127 inf + 2 271.749 * * [simplify]: Extracting #5: cost 168 inf + 867 271.751 * * [simplify]: Extracting #6: cost 124 inf + 7664 271.755 * * [simplify]: Extracting #7: cost 63 inf + 22810 271.763 * * [simplify]: Extracting #8: cost 16 inf + 58499 271.774 * * [simplify]: Extracting #9: cost 0 inf + 74301 271.786 * * [simplify]: Extracting #10: cost 0 inf + 74184 271.796 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 271.797 * [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 (sqrt k)))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 271.797 * * * * [progress]: [ 295 / 675 ] simplifiying candidate # 271.797 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 271.797 * * [simplify]: iters left: 6 (20 enodes) 271.804 * * [simplify]: iters left: 5 (81 enodes) 271.822 * * [simplify]: iters left: 4 (125 enodes) 271.851 * * [simplify]: iters left: 3 (209 enodes) 271.906 * * [simplify]: iters left: 2 (340 enodes) 272.022 * * [simplify]: Extracting #0: cost 1 inf + 0 272.022 * * [simplify]: Extracting #1: cost 13 inf + 0 272.022 * * [simplify]: Extracting #2: cost 24 inf + 1 272.023 * * [simplify]: Extracting #3: cost 38 inf + 1 272.023 * * [simplify]: Extracting #4: cost 87 inf + 2 272.024 * * [simplify]: Extracting #5: cost 116 inf + 338 272.026 * * [simplify]: Extracting #6: cost 81 inf + 5010 272.032 * * [simplify]: Extracting #7: cost 13 inf + 29552 272.038 * * [simplify]: Extracting #8: cost 0 inf + 37506 272.044 * * [simplify]: Extracting #9: cost 0 inf + 37103 272.050 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 272.050 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 272.050 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 272.050 * * [simplify]: iters left: 6 (16 enodes) 272.054 * * [simplify]: iters left: 5 (65 enodes) 272.068 * * [simplify]: iters left: 4 (103 enodes) 272.097 * * [simplify]: iters left: 3 (144 enodes) 272.124 * * [simplify]: iters left: 2 (224 enodes) 272.173 * * [simplify]: iters left: 1 (403 enodes) 272.335 * * [simplify]: Extracting #0: cost 1 inf + 0 272.335 * * [simplify]: Extracting #1: cost 8 inf + 0 272.335 * * [simplify]: Extracting #2: cost 16 inf + 0 272.335 * * [simplify]: Extracting #3: cost 49 inf + 0 272.335 * * [simplify]: Extracting #4: cost 127 inf + 2 272.336 * * [simplify]: Extracting #5: cost 167 inf + 1148 272.338 * * [simplify]: Extracting #6: cost 124 inf + 7824 272.346 * * [simplify]: Extracting #7: cost 63 inf + 23090 272.364 * * [simplify]: Extracting #8: cost 16 inf + 58819 272.384 * * [simplify]: Extracting #9: cost 0 inf + 74621 272.400 * * [simplify]: Extracting #10: cost 0 inf + 74504 272.413 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 272.413 * [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 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 272.413 * * * * [progress]: [ 296 / 675 ] simplifiying candidate # 272.413 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 272.413 * * [simplify]: iters left: 6 (20 enodes) 272.420 * * [simplify]: iters left: 5 (80 enodes) 272.444 * * [simplify]: iters left: 4 (122 enodes) 272.481 * * [simplify]: iters left: 3 (183 enodes) 272.536 * * [simplify]: iters left: 2 (269 enodes) 272.617 * * [simplify]: iters left: 1 (458 enodes) 272.751 * * [simplify]: Extracting #0: cost 1 inf + 0 272.752 * * [simplify]: Extracting #1: cost 9 inf + 0 272.752 * * [simplify]: Extracting #2: cost 17 inf + 1 272.752 * * [simplify]: Extracting #3: cost 47 inf + 1 272.752 * * [simplify]: Extracting #4: cost 127 inf + 2 272.753 * * [simplify]: Extracting #5: cost 181 inf + 507 272.756 * * [simplify]: Extracting #6: cost 122 inf + 11318 272.771 * * [simplify]: Extracting #7: cost 20 inf + 57522 272.792 * * [simplify]: Extracting #8: cost 0 inf + 72932 272.814 * * [simplify]: Extracting #9: cost 0 inf + 72732 272.840 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k))))) 272.841 * [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 (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 272.841 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 272.841 * * [simplify]: iters left: 6 (17 enodes) 272.851 * * [simplify]: iters left: 5 (68 enodes) 272.872 * * [simplify]: iters left: 4 (106 enodes) 272.889 * * [simplify]: iters left: 3 (151 enodes) 272.922 * * [simplify]: iters left: 2 (232 enodes) 273.009 * * [simplify]: iters left: 1 (413 enodes) 273.166 * * [simplify]: Extracting #0: cost 1 inf + 0 273.166 * * [simplify]: Extracting #1: cost 8 inf + 0 273.166 * * [simplify]: Extracting #2: cost 17 inf + 0 273.166 * * [simplify]: Extracting #3: cost 47 inf + 0 273.167 * * [simplify]: Extracting #4: cost 127 inf + 2 273.167 * * [simplify]: Extracting #5: cost 172 inf + 1368 273.170 * * [simplify]: Extracting #6: cost 106 inf + 14330 273.178 * * [simplify]: Extracting #7: cost 18 inf + 55615 273.200 * * [simplify]: Extracting #8: cost 0 inf + 64483 273.229 * * [simplify]: Extracting #9: cost 0 inf + 63406 273.258 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 273.258 * [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 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 273.258 * * * * [progress]: [ 297 / 675 ] simplifiying candidate # 273.259 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 273.259 * * [simplify]: iters left: 6 (20 enodes) 273.271 * * [simplify]: iters left: 5 (80 enodes) 273.301 * * [simplify]: iters left: 4 (122 enodes) 273.329 * * [simplify]: iters left: 3 (183 enodes) 273.358 * * [simplify]: iters left: 2 (269 enodes) 273.425 * * [simplify]: iters left: 1 (458 enodes) 273.632 * * [simplify]: Extracting #0: cost 1 inf + 0 273.632 * * [simplify]: Extracting #1: cost 9 inf + 0 273.633 * * [simplify]: Extracting #2: cost 16 inf + 1 273.633 * * [simplify]: Extracting #3: cost 46 inf + 1 273.633 * * [simplify]: Extracting #4: cost 127 inf + 2 273.634 * * [simplify]: Extracting #5: cost 181 inf + 507 273.636 * * [simplify]: Extracting #6: cost 121 inf + 11479 273.644 * * [simplify]: Extracting #7: cost 19 inf + 57683 273.655 * * [simplify]: Extracting #8: cost 0 inf + 72932 273.666 * * [simplify]: Extracting #9: cost 0 inf + 72732 273.683 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k))))) 273.683 * [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 (fabs (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 273.684 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 273.684 * * [simplify]: iters left: 6 (18 enodes) 273.693 * * [simplify]: iters left: 5 (71 enodes) 273.718 * * [simplify]: iters left: 4 (109 enodes) 273.735 * * [simplify]: iters left: 3 (153 enodes) 273.768 * * [simplify]: iters left: 2 (234 enodes) 273.816 * * [simplify]: iters left: 1 (413 enodes) 273.978 * * [simplify]: Extracting #0: cost 1 inf + 0 273.978 * * [simplify]: Extracting #1: cost 8 inf + 0 273.979 * * [simplify]: Extracting #2: cost 17 inf + 0 273.979 * * [simplify]: Extracting #3: cost 49 inf + 0 273.979 * * [simplify]: Extracting #4: cost 123 inf + 365 273.981 * * [simplify]: Extracting #5: cost 164 inf + 2750 273.986 * * [simplify]: Extracting #6: cost 109 inf + 13454 273.996 * * [simplify]: Extracting #7: cost 40 inf + 36174 274.012 * * [simplify]: Extracting #8: cost 6 inf + 65412 274.022 * * [simplify]: Extracting #9: cost 0 inf + 71330 274.032 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 274.032 * [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 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 274.033 * * * * [progress]: [ 298 / 675 ] simplifiying candidate # 274.033 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 274.033 * * [simplify]: iters left: 6 (19 enodes) 274.040 * * [simplify]: iters left: 5 (76 enodes) 274.062 * * [simplify]: iters left: 4 (114 enodes) 274.102 * * [simplify]: iters left: 3 (180 enodes) 274.152 * * [simplify]: iters left: 2 (284 enodes) 274.207 * * [simplify]: iters left: 1 (465 enodes) 274.350 * * [simplify]: Extracting #0: cost 1 inf + 0 274.350 * * [simplify]: Extracting #1: cost 9 inf + 0 274.350 * * [simplify]: Extracting #2: cost 16 inf + 1 274.350 * * [simplify]: Extracting #3: cost 45 inf + 1 274.351 * * [simplify]: Extracting #4: cost 125 inf + 2 274.357 * * [simplify]: Extracting #5: cost 174 inf + 843 274.362 * * [simplify]: Extracting #6: cost 106 inf + 14196 274.370 * * [simplify]: Extracting #7: cost 29 inf + 46687 274.382 * * [simplify]: Extracting #8: cost 2 inf + 68796 274.393 * * [simplify]: Extracting #9: cost 0 inf + 70333 274.412 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 274.412 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 274.413 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 274.413 * * [simplify]: iters left: 6 (16 enodes) 274.422 * * [simplify]: iters left: 5 (65 enodes) 274.444 * * [simplify]: iters left: 4 (103 enodes) 274.475 * * [simplify]: iters left: 3 (144 enodes) 274.518 * * [simplify]: iters left: 2 (224 enodes) 274.572 * * [simplify]: iters left: 1 (403 enodes) 274.718 * * [simplify]: Extracting #0: cost 1 inf + 0 274.718 * * [simplify]: Extracting #1: cost 8 inf + 0 274.718 * * [simplify]: Extracting #2: cost 16 inf + 0 274.719 * * [simplify]: Extracting #3: cost 49 inf + 0 274.720 * * [simplify]: Extracting #4: cost 127 inf + 2 274.721 * * [simplify]: Extracting #5: cost 167 inf + 988 274.725 * * [simplify]: Extracting #6: cost 124 inf + 7664 274.729 * * [simplify]: Extracting #7: cost 63 inf + 22810 274.737 * * [simplify]: Extracting #8: cost 16 inf + 58499 274.748 * * [simplify]: Extracting #9: cost 0 inf + 74301 274.761 * * [simplify]: Extracting #10: cost 0 inf + 74184 274.772 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 274.772 * [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 1))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 274.772 * * * * [progress]: [ 299 / 675 ] simplifiying candidate # 274.772 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 274.772 * * [simplify]: iters left: 6 (16 enodes) 274.780 * * [simplify]: iters left: 5 (67 enodes) 274.793 * * [simplify]: iters left: 4 (106 enodes) 274.825 * * [simplify]: iters left: 3 (154 enodes) 274.849 * * [simplify]: iters left: 2 (235 enodes) 274.928 * * [simplify]: iters left: 1 (410 enodes) 275.082 * * [simplify]: Extracting #0: cost 1 inf + 0 275.082 * * [simplify]: Extracting #1: cost 5 inf + 0 275.082 * * [simplify]: Extracting #2: cost 7 inf + 1 275.082 * * [simplify]: Extracting #3: cost 34 inf + 1 275.082 * * [simplify]: Extracting #4: cost 106 inf + 2 275.083 * * [simplify]: Extracting #5: cost 164 inf + 176 275.085 * * [simplify]: Extracting #6: cost 164 inf + 603 275.088 * * [simplify]: Extracting #7: cost 105 inf + 7260 275.096 * * [simplify]: Extracting #8: cost 54 inf + 19825 275.113 * * [simplify]: Extracting #9: cost 9 inf + 52934 275.134 * * [simplify]: Extracting #10: cost 0 inf + 60854 275.154 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 275.154 * [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 (sqrt k))) (sqrt (sqrt k))))) 275.155 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 275.155 * * [simplify]: iters left: 6 (15 enodes) 275.164 * * [simplify]: iters left: 5 (62 enodes) 275.185 * * [simplify]: iters left: 4 (95 enodes) 275.206 * * [simplify]: iters left: 3 (138 enodes) 275.232 * * [simplify]: iters left: 2 (223 enodes) 275.313 * * [simplify]: iters left: 1 (400 enodes) 275.467 * * [simplify]: Extracting #0: cost 1 inf + 0 275.467 * * [simplify]: Extracting #1: cost 6 inf + 0 275.467 * * [simplify]: Extracting #2: cost 12 inf + 0 275.467 * * [simplify]: Extracting #3: cost 37 inf + 164 275.467 * * [simplify]: Extracting #4: cost 112 inf + 246 275.468 * * [simplify]: Extracting #5: cost 156 inf + 1088 275.470 * * [simplify]: Extracting #6: cost 100 inf + 11792 275.479 * * [simplify]: Extracting #7: cost 34 inf + 40301 275.492 * * [simplify]: Extracting #8: cost 0 inf + 70380 275.510 * * [simplify]: Extracting #9: cost 0 inf + 69136 275.521 * * [simplify]: Extracting #10: cost 0 inf + 66634 275.533 * * [simplify]: Extracting #11: cost 0 inf + 66504 275.555 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 275.555 * [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 1))) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 275.555 * * * * [progress]: [ 300 / 675 ] simplifiying candidate # 275.556 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 275.556 * * [simplify]: iters left: 6 (19 enodes) 275.567 * * [simplify]: iters left: 5 (76 enodes) 275.579 * * [simplify]: iters left: 4 (114 enodes) 275.607 * * [simplify]: iters left: 3 (180 enodes) 275.667 * * [simplify]: iters left: 2 (284 enodes) 275.727 * * [simplify]: iters left: 1 (465 enodes) 275.846 * * [simplify]: Extracting #0: cost 1 inf + 0 275.846 * * [simplify]: Extracting #1: cost 9 inf + 0 275.846 * * [simplify]: Extracting #2: cost 16 inf + 1 275.846 * * [simplify]: Extracting #3: cost 45 inf + 1 275.847 * * [simplify]: Extracting #4: cost 125 inf + 2 275.847 * * [simplify]: Extracting #5: cost 174 inf + 843 275.850 * * [simplify]: Extracting #6: cost 106 inf + 14196 275.857 * * [simplify]: Extracting #7: cost 29 inf + 46687 275.868 * * [simplify]: Extracting #8: cost 2 inf + 68796 275.880 * * [simplify]: Extracting #9: cost 0 inf + 70333 275.897 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 275.897 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 275.898 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 275.898 * * [simplify]: iters left: 6 (16 enodes) 275.902 * * [simplify]: iters left: 5 (65 enodes) 275.913 * * [simplify]: iters left: 4 (103 enodes) 275.936 * * [simplify]: iters left: 3 (144 enodes) 275.982 * * [simplify]: iters left: 2 (224 enodes) 276.066 * * [simplify]: iters left: 1 (403 enodes) 276.185 * * [simplify]: Extracting #0: cost 1 inf + 0 276.185 * * [simplify]: Extracting #1: cost 8 inf + 0 276.185 * * [simplify]: Extracting #2: cost 16 inf + 0 276.185 * * [simplify]: Extracting #3: cost 49 inf + 0 276.186 * * [simplify]: Extracting #4: cost 127 inf + 2 276.187 * * [simplify]: Extracting #5: cost 167 inf + 988 276.189 * * [simplify]: Extracting #6: cost 124 inf + 7664 276.196 * * [simplify]: Extracting #7: cost 63 inf + 22810 276.211 * * [simplify]: Extracting #8: cost 16 inf + 58499 276.235 * * [simplify]: Extracting #9: cost 0 inf + 74301 276.256 * * [simplify]: Extracting #10: cost 0 inf + 74184 276.271 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 276.271 * [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 1))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 276.271 * * * * [progress]: [ 301 / 675 ] simplifiying candidate # 276.271 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt 1)) 276.272 * * [simplify]: iters left: 6 (16 enodes) 276.279 * * [simplify]: iters left: 5 (67 enodes) 276.290 * * [simplify]: iters left: 4 (106 enodes) 276.317 * * [simplify]: iters left: 3 (154 enodes) 276.361 * * [simplify]: iters left: 2 (235 enodes) 276.418 * * [simplify]: iters left: 1 (410 enodes) 276.629 * * [simplify]: Extracting #0: cost 1 inf + 0 276.630 * * [simplify]: Extracting #1: cost 5 inf + 0 276.630 * * [simplify]: Extracting #2: cost 7 inf + 1 276.630 * * [simplify]: Extracting #3: cost 34 inf + 1 276.630 * * [simplify]: Extracting #4: cost 106 inf + 2 276.632 * * [simplify]: Extracting #5: cost 164 inf + 176 276.633 * * [simplify]: Extracting #6: cost 164 inf + 603 276.636 * * [simplify]: Extracting #7: cost 105 inf + 7260 276.644 * * [simplify]: Extracting #8: cost 54 inf + 19825 276.662 * * [simplify]: Extracting #9: cost 9 inf + 52934 276.682 * * [simplify]: Extracting #10: cost 0 inf + 60854 276.702 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 276.702 * [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 (sqrt k))) (sqrt (sqrt k))))) 276.703 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 276.703 * * [simplify]: iters left: 6 (15 enodes) 276.709 * * [simplify]: iters left: 5 (62 enodes) 276.723 * * [simplify]: iters left: 4 (95 enodes) 276.737 * * [simplify]: iters left: 3 (138 enodes) 276.777 * * [simplify]: iters left: 2 (223 enodes) 276.830 * * [simplify]: iters left: 1 (400 enodes) 276.965 * * [simplify]: Extracting #0: cost 1 inf + 0 276.965 * * [simplify]: Extracting #1: cost 6 inf + 0 276.965 * * [simplify]: Extracting #2: cost 12 inf + 0 276.966 * * [simplify]: Extracting #3: cost 37 inf + 164 276.966 * * [simplify]: Extracting #4: cost 112 inf + 246 276.967 * * [simplify]: Extracting #5: cost 156 inf + 1088 276.972 * * [simplify]: Extracting #6: cost 100 inf + 11792 276.978 * * [simplify]: Extracting #7: cost 34 inf + 40301 276.990 * * [simplify]: Extracting #8: cost 0 inf + 70380 277.001 * * [simplify]: Extracting #9: cost 0 inf + 69136 277.013 * * [simplify]: Extracting #10: cost 0 inf + 66634 277.024 * * [simplify]: Extracting #11: cost 0 inf + 66504 277.044 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 277.044 * [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 1))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 277.044 * * * * [progress]: [ 302 / 675 ] simplifiying candidate # 277.045 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 277.045 * * [simplify]: iters left: 6 (19 enodes) 277.059 * * [simplify]: iters left: 5 (76 enodes) 277.086 * * [simplify]: iters left: 4 (114 enodes) 277.114 * * [simplify]: iters left: 3 (180 enodes) 277.149 * * [simplify]: iters left: 2 (284 enodes) 277.225 * * [simplify]: iters left: 1 (465 enodes) 277.379 * * [simplify]: Extracting #0: cost 1 inf + 0 277.379 * * [simplify]: Extracting #1: cost 9 inf + 0 277.379 * * [simplify]: Extracting #2: cost 16 inf + 1 277.380 * * [simplify]: Extracting #3: cost 45 inf + 1 277.380 * * [simplify]: Extracting #4: cost 125 inf + 2 277.382 * * [simplify]: Extracting #5: cost 174 inf + 843 277.387 * * [simplify]: Extracting #6: cost 106 inf + 14196 277.400 * * [simplify]: Extracting #7: cost 29 inf + 46687 277.422 * * [simplify]: Extracting #8: cost 2 inf + 68796 277.445 * * [simplify]: Extracting #9: cost 0 inf + 70333 277.468 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 277.468 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 277.469 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 277.469 * * [simplify]: iters left: 6 (16 enodes) 277.478 * * [simplify]: iters left: 5 (65 enodes) 277.499 * * [simplify]: iters left: 4 (103 enodes) 277.529 * * [simplify]: iters left: 3 (144 enodes) 277.553 * * [simplify]: iters left: 2 (224 enodes) 277.609 * * [simplify]: iters left: 1 (403 enodes) 277.759 * * [simplify]: Extracting #0: cost 1 inf + 0 277.759 * * [simplify]: Extracting #1: cost 8 inf + 0 277.760 * * [simplify]: Extracting #2: cost 16 inf + 0 277.760 * * [simplify]: Extracting #3: cost 49 inf + 0 277.761 * * [simplify]: Extracting #4: cost 127 inf + 2 277.762 * * [simplify]: Extracting #5: cost 167 inf + 988 277.766 * * [simplify]: Extracting #6: cost 124 inf + 7664 277.774 * * [simplify]: Extracting #7: cost 63 inf + 22810 277.789 * * [simplify]: Extracting #8: cost 16 inf + 58499 277.814 * * [simplify]: Extracting #9: cost 0 inf + 74301 277.833 * * [simplify]: Extracting #10: cost 0 inf + 74184 277.850 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 277.850 * [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 1))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 277.850 * * * * [progress]: [ 303 / 675 ] simplifiying candidate # 277.850 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt 1))) 1) 277.851 * * [simplify]: iters left: 6 (16 enodes) 277.856 * * [simplify]: iters left: 5 (65 enodes) 277.867 * * [simplify]: iters left: 4 (104 enodes) 277.883 * * [simplify]: iters left: 3 (149 enodes) 277.909 * * [simplify]: iters left: 2 (229 enodes) 277.963 * * [simplify]: iters left: 1 (415 enodes) 278.500 * * [simplify]: Extracting #0: cost 1 inf + 0 278.500 * * [simplify]: Extracting #1: cost 5 inf + 0 278.500 * * [simplify]: Extracting #2: cost 7 inf + 1 278.500 * * [simplify]: Extracting #3: cost 33 inf + 1 278.501 * * [simplify]: Extracting #4: cost 108 inf + 2 278.501 * * [simplify]: Extracting #5: cost 168 inf + 176 278.502 * * [simplify]: Extracting #6: cost 169 inf + 561 278.504 * * [simplify]: Extracting #7: cost 99 inf + 11850 278.512 * * [simplify]: Extracting #8: cost 40 inf + 32546 278.532 * * [simplify]: Extracting #9: cost 8 inf + 58109 278.552 * * [simplify]: Extracting #10: cost 0 inf + 63356 278.578 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 278.578 * [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 (sqrt k))) (sqrt (sqrt k))))) 278.578 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 278.578 * * [simplify]: iters left: 6 (15 enodes) 278.587 * * [simplify]: iters left: 5 (62 enodes) 278.608 * * [simplify]: iters left: 4 (95 enodes) 278.627 * * [simplify]: iters left: 3 (138 enodes) 278.657 * * [simplify]: iters left: 2 (223 enodes) 278.739 * * [simplify]: iters left: 1 (400 enodes) 278.888 * * [simplify]: Extracting #0: cost 1 inf + 0 278.888 * * [simplify]: Extracting #1: cost 6 inf + 0 278.888 * * [simplify]: Extracting #2: cost 12 inf + 0 278.888 * * [simplify]: Extracting #3: cost 37 inf + 164 278.888 * * [simplify]: Extracting #4: cost 112 inf + 246 278.889 * * [simplify]: Extracting #5: cost 156 inf + 1088 278.891 * * [simplify]: Extracting #6: cost 100 inf + 11792 278.901 * * [simplify]: Extracting #7: cost 34 inf + 40301 278.923 * * [simplify]: Extracting #8: cost 0 inf + 70380 278.946 * * [simplify]: Extracting #9: cost 0 inf + 69136 278.969 * * [simplify]: Extracting #10: cost 0 inf + 66634 278.991 * * [simplify]: Extracting #11: cost 0 inf + 66504 279.013 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 279.013 * [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 1))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 279.014 * * * * [progress]: [ 304 / 675 ] simplifiying candidate # 279.014 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 279.014 * * [simplify]: iters left: 6 (19 enodes) 279.027 * * [simplify]: iters left: 5 (78 enodes) 279.052 * * [simplify]: iters left: 4 (129 enodes) 279.094 * * [simplify]: iters left: 3 (219 enodes) 279.170 * * [simplify]: iters left: 2 (368 enodes) 279.303 * * [simplify]: Extracting #0: cost 1 inf + 0 279.303 * * [simplify]: Extracting #1: cost 23 inf + 0 279.304 * * [simplify]: Extracting #2: cost 47 inf + 0 279.304 * * [simplify]: Extracting #3: cost 61 inf + 0 279.305 * * [simplify]: Extracting #4: cost 111 inf + 1 279.306 * * [simplify]: Extracting #5: cost 136 inf + 591 279.308 * * [simplify]: Extracting #6: cost 91 inf + 6794 279.317 * * [simplify]: Extracting #7: cost 33 inf + 28771 279.333 * * [simplify]: Extracting #8: cost 0 inf + 51875 279.349 * * [simplify]: Extracting #9: cost 0 inf + 51835 279.360 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 279.360 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 279.360 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 279.360 * * [simplify]: iters left: 6 (17 enodes) 279.365 * * [simplify]: iters left: 5 (68 enodes) 279.377 * * [simplify]: iters left: 4 (106 enodes) 279.403 * * [simplify]: iters left: 3 (151 enodes) 279.455 * * [simplify]: iters left: 2 (232 enodes) 279.521 * * [simplify]: iters left: 1 (413 enodes) 279.700 * * [simplify]: Extracting #0: cost 1 inf + 0 279.700 * * [simplify]: Extracting #1: cost 8 inf + 0 279.700 * * [simplify]: Extracting #2: cost 16 inf + 0 279.701 * * [simplify]: Extracting #3: cost 45 inf + 0 279.701 * * [simplify]: Extracting #4: cost 128 inf + 1 279.703 * * [simplify]: Extracting #5: cost 180 inf + 677 279.706 * * [simplify]: Extracting #6: cost 128 inf + 10512 279.721 * * [simplify]: Extracting #7: cost 24 inf + 51860 279.746 * * [simplify]: Extracting #8: cost 0 inf + 62968 279.763 * * [simplify]: Extracting #9: cost 0 inf + 61851 279.778 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 279.779 * [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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 279.779 * * * * [progress]: [ 305 / 675 ] simplifiying candidate # 279.779 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 279.779 * * [simplify]: iters left: 6 (20 enodes) 279.785 * * [simplify]: iters left: 5 (80 enodes) 279.798 * * [simplify]: iters left: 4 (128 enodes) 279.818 * * [simplify]: iters left: 3 (188 enodes) 279.858 * * [simplify]: iters left: 2 (279 enodes) 279.927 * * [simplify]: iters left: 1 (472 enodes) 280.095 * * [simplify]: Extracting #0: cost 1 inf + 0 280.095 * * [simplify]: Extracting #1: cost 15 inf + 0 280.095 * * [simplify]: Extracting #2: cost 32 inf + 0 280.096 * * [simplify]: Extracting #3: cost 65 inf + 0 280.096 * * [simplify]: Extracting #4: cost 152 inf + 1 280.097 * * [simplify]: Extracting #5: cost 209 inf + 260 280.099 * * [simplify]: Extracting #6: cost 140 inf + 13993 280.106 * * [simplify]: Extracting #7: cost 41 inf + 53023 280.129 * * [simplify]: Extracting #8: cost 2 inf + 84821 280.155 * * [simplify]: Extracting #9: cost 0 inf + 85968 280.180 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) 280.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 280.181 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 280.181 * * [simplify]: iters left: 6 (18 enodes) 280.191 * * [simplify]: iters left: 5 (71 enodes) 280.213 * * [simplify]: iters left: 4 (109 enodes) 280.247 * * [simplify]: iters left: 3 (153 enodes) 280.298 * * [simplify]: iters left: 2 (234 enodes) 280.356 * * [simplify]: iters left: 1 (413 enodes) 280.520 * * [simplify]: Extracting #0: cost 1 inf + 0 280.520 * * [simplify]: Extracting #1: cost 8 inf + 0 280.520 * * [simplify]: Extracting #2: cost 17 inf + 0 280.520 * * [simplify]: Extracting #3: cost 48 inf + 0 280.520 * * [simplify]: Extracting #4: cost 127 inf + 1 280.521 * * [simplify]: Extracting #5: cost 177 inf + 1176 280.523 * * [simplify]: Extracting #6: cost 116 inf + 12643 280.528 * * [simplify]: Extracting #7: cost 40 inf + 36334 280.544 * * [simplify]: Extracting #8: cost 6 inf + 65572 280.569 * * [simplify]: Extracting #9: cost 0 inf + 71490 280.581 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 280.581 * [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 (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 280.582 * * * * [progress]: [ 306 / 675 ] simplifiying candidate # 280.582 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 280.582 * * [simplify]: iters left: 6 (21 enodes) 280.587 * * [simplify]: iters left: 5 (83 enodes) 280.601 * * [simplify]: iters left: 4 (131 enodes) 280.621 * * [simplify]: iters left: 3 (191 enodes) 280.675 * * [simplify]: iters left: 2 (282 enodes) 280.734 * * [simplify]: iters left: 1 (465 enodes) 280.928 * * [simplify]: Extracting #0: cost 1 inf + 0 280.928 * * [simplify]: Extracting #1: cost 15 inf + 0 280.928 * * [simplify]: Extracting #2: cost 31 inf + 0 280.928 * * [simplify]: Extracting #3: cost 66 inf + 0 280.928 * * [simplify]: Extracting #4: cost 146 inf + 1 280.929 * * [simplify]: Extracting #5: cost 201 inf + 301 280.931 * * [simplify]: Extracting #6: cost 138 inf + 10511 280.937 * * [simplify]: Extracting #7: cost 56 inf + 39811 280.951 * * [simplify]: Extracting #8: cost 5 inf + 80656 280.971 * * [simplify]: Extracting #9: cost 0 inf + 84135 280.983 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 280.983 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 280.984 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 280.984 * * [simplify]: iters left: 6 (19 enodes) 280.989 * * [simplify]: iters left: 5 (74 enodes) 281.002 * * [simplify]: iters left: 4 (108 enodes) 281.025 * * [simplify]: iters left: 3 (153 enodes) 281.059 * * [simplify]: iters left: 2 (251 enodes) 281.145 * * [simplify]: iters left: 1 (423 enodes) 281.346 * * [simplify]: Extracting #0: cost 1 inf + 0 281.346 * * [simplify]: Extracting #1: cost 8 inf + 0 281.346 * * [simplify]: Extracting #2: cost 17 inf + 0 281.347 * * [simplify]: Extracting #3: cost 48 inf + 0 281.347 * * [simplify]: Extracting #4: cost 133 inf + 1 281.349 * * [simplify]: Extracting #5: cost 197 inf + 427 281.354 * * [simplify]: Extracting #6: cost 135 inf + 11701 281.362 * * [simplify]: Extracting #7: cost 44 inf + 43202 281.373 * * [simplify]: Extracting #8: cost 2 inf + 74887 281.388 * * [simplify]: Extracting #9: cost 0 inf + 76133 281.407 * * [simplify]: Extracting #10: cost 0 inf + 75696 281.417 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 281.418 * [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 (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 281.418 * * * * [progress]: [ 307 / 675 ] simplifiying candidate # 281.418 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 281.418 * * [simplify]: iters left: 6 (17 enodes) 281.423 * * [simplify]: iters left: 5 (70 enodes) 281.438 * * [simplify]: iters left: 4 (110 enodes) 281.470 * * [simplify]: iters left: 3 (162 enodes) 281.499 * * [simplify]: iters left: 2 (248 enodes) 281.585 * * [simplify]: iters left: 1 (427 enodes) 281.787 * * [simplify]: Extracting #0: cost 1 inf + 0 281.787 * * [simplify]: Extracting #1: cost 11 inf + 0 281.787 * * [simplify]: Extracting #2: cost 22 inf + 0 281.787 * * [simplify]: Extracting #3: cost 51 inf + 0 281.788 * * [simplify]: Extracting #4: cost 129 inf + 2 281.790 * * [simplify]: Extracting #5: cost 176 inf + 871 281.796 * * [simplify]: Extracting #6: cost 98 inf + 20339 281.807 * * [simplify]: Extracting #7: cost 16 inf + 55539 281.821 * * [simplify]: Extracting #8: cost 0 inf + 65607 281.852 * * [simplify]: Extracting #9: cost 0 inf + 63133 281.881 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 281.881 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 281.882 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 281.882 * * [simplify]: iters left: 6 (16 enodes) 281.891 * * [simplify]: iters left: 5 (65 enodes) 281.912 * * [simplify]: iters left: 4 (98 enodes) 281.938 * * [simplify]: iters left: 3 (138 enodes) 281.962 * * [simplify]: iters left: 2 (218 enodes) 282.043 * * [simplify]: iters left: 1 (395 enodes) 282.202 * * [simplify]: Extracting #0: cost 1 inf + 0 282.202 * * [simplify]: Extracting #1: cost 6 inf + 0 282.202 * * [simplify]: Extracting #2: cost 12 inf + 0 282.202 * * [simplify]: Extracting #3: cost 41 inf + 0 282.202 * * [simplify]: Extracting #4: cost 115 inf + 2 282.203 * * [simplify]: Extracting #5: cost 159 inf + 628 282.205 * * [simplify]: Extracting #6: cost 112 inf + 8834 282.211 * * [simplify]: Extracting #7: cost 32 inf + 42197 282.220 * * [simplify]: Extracting #8: cost 0 inf + 66591 282.234 * * [simplify]: Extracting #9: cost 0 inf + 65379 282.253 * * [simplify]: Extracting #10: cost 0 inf + 65209 282.273 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 282.273 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 282.273 * * * * [progress]: [ 308 / 675 ] simplifiying candidate # 282.273 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 282.274 * * [simplify]: iters left: 6 (19 enodes) 282.285 * * [simplify]: iters left: 5 (76 enodes) 282.313 * * [simplify]: iters left: 4 (113 enodes) 282.349 * * [simplify]: iters left: 3 (171 enodes) 282.391 * * [simplify]: iters left: 2 (280 enodes) 282.454 * * [simplify]: iters left: 1 (453 enodes) 282.611 * * [simplify]: Extracting #0: cost 1 inf + 0 282.611 * * [simplify]: Extracting #1: cost 9 inf + 0 282.611 * * [simplify]: Extracting #2: cost 16 inf + 1 282.611 * * [simplify]: Extracting #3: cost 45 inf + 1 282.612 * * [simplify]: Extracting #4: cost 122 inf + 2 282.612 * * [simplify]: Extracting #5: cost 190 inf + 260 282.614 * * [simplify]: Extracting #6: cost 137 inf + 8567 282.620 * * [simplify]: Extracting #7: cost 44 inf + 35670 282.629 * * [simplify]: Extracting #8: cost 15 inf + 56209 282.647 * * [simplify]: Extracting #9: cost 0 inf + 68801 282.671 * * [simplify]: Extracting #10: cost 0 inf + 68215 282.695 * * [simplify]: Extracting #11: cost 0 inf + 67957 282.723 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) 282.723 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 282.723 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 282.723 * * [simplify]: iters left: 6 (16 enodes) 282.732 * * [simplify]: iters left: 5 (65 enodes) 282.753 * * [simplify]: iters left: 4 (103 enodes) 282.786 * * [simplify]: iters left: 3 (144 enodes) 282.828 * * [simplify]: iters left: 2 (224 enodes) 282.887 * * [simplify]: iters left: 1 (403 enodes) 283.062 * * [simplify]: Extracting #0: cost 1 inf + 0 283.062 * * [simplify]: Extracting #1: cost 8 inf + 0 283.062 * * [simplify]: Extracting #2: cost 16 inf + 0 283.062 * * [simplify]: Extracting #3: cost 49 inf + 0 283.063 * * [simplify]: Extracting #4: cost 127 inf + 2 283.063 * * [simplify]: Extracting #5: cost 168 inf + 867 283.065 * * [simplify]: Extracting #6: cost 124 inf + 7664 283.069 * * [simplify]: Extracting #7: cost 63 inf + 22810 283.080 * * [simplify]: Extracting #8: cost 16 inf + 58499 283.091 * * [simplify]: Extracting #9: cost 0 inf + 74301 283.102 * * [simplify]: Extracting #10: cost 0 inf + 74184 283.119 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 283.119 * [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 (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 283.119 * * * * [progress]: [ 309 / 675 ] simplifiying candidate # 283.119 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 283.120 * * [simplify]: iters left: 6 (17 enodes) 283.129 * * [simplify]: iters left: 5 (70 enodes) 283.152 * * [simplify]: iters left: 4 (110 enodes) 283.191 * * [simplify]: iters left: 3 (162 enodes) 283.231 * * [simplify]: iters left: 2 (248 enodes) 283.285 * * [simplify]: iters left: 1 (427 enodes) 283.464 * * [simplify]: Extracting #0: cost 1 inf + 0 283.464 * * [simplify]: Extracting #1: cost 11 inf + 0 283.464 * * [simplify]: Extracting #2: cost 22 inf + 0 283.464 * * [simplify]: Extracting #3: cost 51 inf + 0 283.465 * * [simplify]: Extracting #4: cost 129 inf + 2 283.465 * * [simplify]: Extracting #5: cost 176 inf + 871 283.472 * * [simplify]: Extracting #6: cost 98 inf + 20339 283.483 * * [simplify]: Extracting #7: cost 16 inf + 55539 283.511 * * [simplify]: Extracting #8: cost 0 inf + 65607 283.541 * * [simplify]: Extracting #9: cost 0 inf + 63133 283.571 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 283.572 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 283.572 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 283.572 * * [simplify]: iters left: 6 (16 enodes) 283.581 * * [simplify]: iters left: 5 (65 enodes) 283.599 * * [simplify]: iters left: 4 (98 enodes) 283.614 * * [simplify]: iters left: 3 (138 enodes) 283.649 * * [simplify]: iters left: 2 (218 enodes) 283.701 * * [simplify]: iters left: 1 (395 enodes) 283.856 * * [simplify]: Extracting #0: cost 1 inf + 0 283.856 * * [simplify]: Extracting #1: cost 6 inf + 0 283.856 * * [simplify]: Extracting #2: cost 12 inf + 0 283.856 * * [simplify]: Extracting #3: cost 41 inf + 0 283.856 * * [simplify]: Extracting #4: cost 115 inf + 2 283.857 * * [simplify]: Extracting #5: cost 159 inf + 628 283.859 * * [simplify]: Extracting #6: cost 112 inf + 8834 283.864 * * [simplify]: Extracting #7: cost 32 inf + 42197 283.874 * * [simplify]: Extracting #8: cost 0 inf + 66591 283.886 * * [simplify]: Extracting #9: cost 0 inf + 65379 283.906 * * [simplify]: Extracting #10: cost 0 inf + 65209 283.929 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 283.930 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 283.930 * * * * [progress]: [ 310 / 675 ] simplifiying candidate # 283.930 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 283.930 * * [simplify]: iters left: 6 (18 enodes) 283.936 * * [simplify]: iters left: 5 (73 enodes) 283.948 * * [simplify]: iters left: 4 (114 enodes) 283.966 * * [simplify]: iters left: 3 (171 enodes) 283.999 * * [simplify]: iters left: 2 (263 enodes) 284.094 * * [simplify]: iters left: 1 (440 enodes) 284.244 * * [simplify]: Extracting #0: cost 1 inf + 0 284.244 * * [simplify]: Extracting #1: cost 9 inf + 0 284.244 * * [simplify]: Extracting #2: cost 16 inf + 1 284.244 * * [simplify]: Extracting #3: cost 46 inf + 1 284.244 * * [simplify]: Extracting #4: cost 121 inf + 2 284.245 * * [simplify]: Extracting #5: cost 177 inf + 343 284.247 * * [simplify]: Extracting #6: cost 129 inf + 7167 284.253 * * [simplify]: Extracting #7: cost 32 inf + 46973 284.263 * * [simplify]: Extracting #8: cost 1 inf + 70307 284.274 * * [simplify]: Extracting #9: cost 0 inf + 70084 284.285 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 284.285 * [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))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 284.287 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 284.287 * * [simplify]: iters left: 6 (16 enodes) 284.293 * * [simplify]: iters left: 5 (65 enodes) 284.315 * * [simplify]: iters left: 4 (103 enodes) 284.345 * * [simplify]: iters left: 3 (144 enodes) 284.391 * * [simplify]: iters left: 2 (224 enodes) 284.471 * * [simplify]: iters left: 1 (403 enodes) 284.612 * * [simplify]: Extracting #0: cost 1 inf + 0 284.612 * * [simplify]: Extracting #1: cost 8 inf + 0 284.612 * * [simplify]: Extracting #2: cost 16 inf + 0 284.612 * * [simplify]: Extracting #3: cost 49 inf + 0 284.616 * * [simplify]: Extracting #4: cost 127 inf + 2 284.616 * * [simplify]: Extracting #5: cost 168 inf + 867 284.618 * * [simplify]: Extracting #6: cost 124 inf + 7664 284.623 * * [simplify]: Extracting #7: cost 63 inf + 22810 284.636 * * [simplify]: Extracting #8: cost 16 inf + 58499 284.647 * * [simplify]: Extracting #9: cost 0 inf + 74301 284.658 * * [simplify]: Extracting #10: cost 0 inf + 74184 284.670 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 284.670 * [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 (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 284.670 * * * * [progress]: [ 311 / 675 ] simplifiying candidate # 284.670 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 284.671 * * [simplify]: iters left: 6 (17 enodes) 284.680 * * [simplify]: iters left: 5 (70 enodes) 284.703 * * [simplify]: iters left: 4 (110 enodes) 284.723 * * [simplify]: iters left: 3 (162 enodes) 284.770 * * [simplify]: iters left: 2 (248 enodes) 284.830 * * [simplify]: iters left: 1 (427 enodes) 285.017 * * [simplify]: Extracting #0: cost 1 inf + 0 285.017 * * [simplify]: Extracting #1: cost 11 inf + 0 285.017 * * [simplify]: Extracting #2: cost 22 inf + 0 285.018 * * [simplify]: Extracting #3: cost 51 inf + 0 285.018 * * [simplify]: Extracting #4: cost 129 inf + 2 285.019 * * [simplify]: Extracting #5: cost 176 inf + 871 285.022 * * [simplify]: Extracting #6: cost 98 inf + 20339 285.035 * * [simplify]: Extracting #7: cost 16 inf + 55539 285.054 * * [simplify]: Extracting #8: cost 0 inf + 65607 285.069 * * [simplify]: Extracting #9: cost 0 inf + 63133 285.094 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 285.094 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 285.095 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 285.095 * * [simplify]: iters left: 6 (16 enodes) 285.104 * * [simplify]: iters left: 5 (65 enodes) 285.118 * * [simplify]: iters left: 4 (98 enodes) 285.134 * * [simplify]: iters left: 3 (138 enodes) 285.176 * * [simplify]: iters left: 2 (218 enodes) 285.233 * * [simplify]: iters left: 1 (395 enodes) 285.386 * * [simplify]: Extracting #0: cost 1 inf + 0 285.386 * * [simplify]: Extracting #1: cost 6 inf + 0 285.386 * * [simplify]: Extracting #2: cost 12 inf + 0 285.387 * * [simplify]: Extracting #3: cost 41 inf + 0 285.387 * * [simplify]: Extracting #4: cost 115 inf + 2 285.389 * * [simplify]: Extracting #5: cost 159 inf + 628 285.392 * * [simplify]: Extracting #6: cost 112 inf + 8834 285.404 * * [simplify]: Extracting #7: cost 32 inf + 42197 285.423 * * [simplify]: Extracting #8: cost 0 inf + 66591 285.442 * * [simplify]: Extracting #9: cost 0 inf + 65379 285.452 * * [simplify]: Extracting #10: cost 0 inf + 65209 285.465 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 285.465 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 285.465 * * * * [progress]: [ 312 / 675 ] simplifiying candidate # 285.466 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) 285.466 * * [simplify]: iters left: 6 (17 enodes) 285.470 * * [simplify]: iters left: 5 (68 enodes) 285.488 * * [simplify]: iters left: 4 (112 enodes) 285.518 * * [simplify]: iters left: 3 (167 enodes) 285.546 * * [simplify]: iters left: 2 (257 enodes) 285.640 * * [simplify]: iters left: 1 (433 enodes) 285.825 * * [simplify]: Extracting #0: cost 1 inf + 0 285.825 * * [simplify]: Extracting #1: cost 9 inf + 0 285.825 * * [simplify]: Extracting #2: cost 16 inf + 1 285.826 * * [simplify]: Extracting #3: cost 46 inf + 1 285.826 * * [simplify]: Extracting #4: cost 123 inf + 2 285.828 * * [simplify]: Extracting #5: cost 170 inf + 302 285.831 * * [simplify]: Extracting #6: cost 124 inf + 5752 285.842 * * [simplify]: Extracting #7: cost 36 inf + 41694 285.864 * * [simplify]: Extracting #8: cost 2 inf + 68392 285.885 * * [simplify]: Extracting #9: cost 0 inf + 69255 285.907 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 285.907 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 285.908 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 285.908 * * [simplify]: iters left: 6 (16 enodes) 285.918 * * [simplify]: iters left: 5 (65 enodes) 285.929 * * [simplify]: iters left: 4 (103 enodes) 285.944 * * [simplify]: iters left: 3 (144 enodes) 285.984 * * [simplify]: iters left: 2 (224 enodes) 286.044 * * [simplify]: iters left: 1 (403 enodes) 286.250 * * [simplify]: Extracting #0: cost 1 inf + 0 286.251 * * [simplify]: Extracting #1: cost 8 inf + 0 286.251 * * [simplify]: Extracting #2: cost 16 inf + 0 286.251 * * [simplify]: Extracting #3: cost 49 inf + 0 286.251 * * [simplify]: Extracting #4: cost 127 inf + 2 286.252 * * [simplify]: Extracting #5: cost 168 inf + 867 286.257 * * [simplify]: Extracting #6: cost 124 inf + 7664 286.262 * * [simplify]: Extracting #7: cost 63 inf + 22810 286.270 * * [simplify]: Extracting #8: cost 16 inf + 58499 286.280 * * [simplify]: Extracting #9: cost 0 inf + 74301 286.290 * * [simplify]: Extracting #10: cost 0 inf + 74184 286.303 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 286.303 * [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 (sqrt k)))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 286.303 * * * * [progress]: [ 313 / 675 ] simplifiying candidate # 286.304 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 286.304 * * [simplify]: iters left: 6 (19 enodes) 286.315 * * [simplify]: iters left: 5 (78 enodes) 286.339 * * [simplify]: iters left: 4 (122 enodes) 286.383 * * [simplify]: iters left: 3 (206 enodes) 286.430 * * [simplify]: iters left: 2 (340 enodes) 286.544 * * [simplify]: Extracting #0: cost 1 inf + 0 286.544 * * [simplify]: Extracting #1: cost 13 inf + 0 286.544 * * [simplify]: Extracting #2: cost 24 inf + 1 286.545 * * [simplify]: Extracting #3: cost 38 inf + 1 286.545 * * [simplify]: Extracting #4: cost 89 inf + 2 286.546 * * [simplify]: Extracting #5: cost 119 inf + 458 286.548 * * [simplify]: Extracting #6: cost 82 inf + 4963 286.552 * * [simplify]: Extracting #7: cost 34 inf + 16612 286.557 * * [simplify]: Extracting #8: cost 6 inf + 35162 286.563 * * [simplify]: Extracting #9: cost 0 inf + 39473 286.570 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 286.570 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 286.570 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 286.570 * * [simplify]: iters left: 6 (16 enodes) 286.574 * * [simplify]: iters left: 5 (65 enodes) 286.587 * * [simplify]: iters left: 4 (103 enodes) 286.613 * * [simplify]: iters left: 3 (144 enodes) 286.639 * * [simplify]: iters left: 2 (224 enodes) 286.705 * * [simplify]: iters left: 1 (403 enodes) 286.817 * * [simplify]: Extracting #0: cost 1 inf + 0 286.817 * * [simplify]: Extracting #1: cost 8 inf + 0 286.817 * * [simplify]: Extracting #2: cost 16 inf + 0 286.817 * * [simplify]: Extracting #3: cost 49 inf + 0 286.817 * * [simplify]: Extracting #4: cost 127 inf + 2 286.819 * * [simplify]: Extracting #5: cost 167 inf + 1148 286.822 * * [simplify]: Extracting #6: cost 124 inf + 7824 286.831 * * [simplify]: Extracting #7: cost 63 inf + 23090 286.849 * * [simplify]: Extracting #8: cost 16 inf + 58819 286.859 * * [simplify]: Extracting #9: cost 0 inf + 74621 286.870 * * [simplify]: Extracting #10: cost 0 inf + 74504 286.886 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 286.886 * [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 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 286.887 * * * * [progress]: [ 314 / 675 ] simplifiying candidate # 286.887 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 286.887 * * [simplify]: iters left: 6 (19 enodes) 286.898 * * [simplify]: iters left: 5 (77 enodes) 286.923 * * [simplify]: iters left: 4 (115 enodes) 286.958 * * [simplify]: iters left: 3 (181 enodes) 286.999 * * [simplify]: iters left: 2 (288 enodes) 287.075 * * [simplify]: iters left: 1 (473 enodes) 287.197 * * [simplify]: Extracting #0: cost 1 inf + 0 287.197 * * [simplify]: Extracting #1: cost 9 inf + 0 287.197 * * [simplify]: Extracting #2: cost 17 inf + 1 287.198 * * [simplify]: Extracting #3: cost 48 inf + 1 287.198 * * [simplify]: Extracting #4: cost 134 inf + 2 287.200 * * [simplify]: Extracting #5: cost 181 inf + 927 287.205 * * [simplify]: Extracting #6: cost 105 inf + 15166 287.225 * * [simplify]: Extracting #7: cost 18 inf + 59011 287.248 * * [simplify]: Extracting #8: cost 0 inf + 75614 287.269 * * [simplify]: Extracting #9: cost 0 inf + 75322 287.291 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) 287.291 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 287.292 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 287.292 * * [simplify]: iters left: 6 (17 enodes) 287.298 * * [simplify]: iters left: 5 (68 enodes) 287.309 * * [simplify]: iters left: 4 (106 enodes) 287.328 * * [simplify]: iters left: 3 (151 enodes) 287.361 * * [simplify]: iters left: 2 (232 enodes) 287.430 * * [simplify]: iters left: 1 (413 enodes) 287.592 * * [simplify]: Extracting #0: cost 1 inf + 0 287.592 * * [simplify]: Extracting #1: cost 8 inf + 0 287.592 * * [simplify]: Extracting #2: cost 17 inf + 0 287.592 * * [simplify]: Extracting #3: cost 47 inf + 0 287.593 * * [simplify]: Extracting #4: cost 127 inf + 2 287.593 * * [simplify]: Extracting #5: cost 172 inf + 1368 287.596 * * [simplify]: Extracting #6: cost 106 inf + 14330 287.604 * * [simplify]: Extracting #7: cost 18 inf + 55615 287.617 * * [simplify]: Extracting #8: cost 0 inf + 64483 287.636 * * [simplify]: Extracting #9: cost 0 inf + 63406 287.664 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 287.664 * [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)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 287.664 * * * * [progress]: [ 315 / 675 ] simplifiying candidate # 287.664 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 287.665 * * [simplify]: iters left: 6 (19 enodes) 287.676 * * [simplify]: iters left: 5 (77 enodes) 287.700 * * [simplify]: iters left: 4 (115 enodes) 287.736 * * [simplify]: iters left: 3 (181 enodes) 287.799 * * [simplify]: iters left: 2 (288 enodes) 287.865 * * [simplify]: iters left: 1 (473 enodes) 288.047 * * [simplify]: Extracting #0: cost 1 inf + 0 288.047 * * [simplify]: Extracting #1: cost 9 inf + 0 288.047 * * [simplify]: Extracting #2: cost 16 inf + 1 288.047 * * [simplify]: Extracting #3: cost 47 inf + 1 288.048 * * [simplify]: Extracting #4: cost 134 inf + 2 288.050 * * [simplify]: Extracting #5: cost 181 inf + 927 288.055 * * [simplify]: Extracting #6: cost 109 inf + 13037 288.070 * * [simplify]: Extracting #7: cost 22 inf + 56842 288.091 * * [simplify]: Extracting #8: cost 0 inf + 75614 288.118 * * [simplify]: Extracting #9: cost 0 inf + 75322 288.141 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) 288.141 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 288.142 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 288.142 * * [simplify]: iters left: 6 (18 enodes) 288.151 * * [simplify]: iters left: 5 (71 enodes) 288.163 * * [simplify]: iters left: 4 (109 enodes) 288.180 * * [simplify]: iters left: 3 (153 enodes) 288.209 * * [simplify]: iters left: 2 (234 enodes) 288.283 * * [simplify]: iters left: 1 (413 enodes) 288.449 * * [simplify]: Extracting #0: cost 1 inf + 0 288.450 * * [simplify]: Extracting #1: cost 8 inf + 0 288.450 * * [simplify]: Extracting #2: cost 17 inf + 0 288.450 * * [simplify]: Extracting #3: cost 49 inf + 0 288.451 * * [simplify]: Extracting #4: cost 123 inf + 365 288.452 * * [simplify]: Extracting #5: cost 164 inf + 2750 288.457 * * [simplify]: Extracting #6: cost 109 inf + 13454 288.463 * * [simplify]: Extracting #7: cost 40 inf + 36174 288.472 * * [simplify]: Extracting #8: cost 6 inf + 65412 288.482 * * [simplify]: Extracting #9: cost 0 inf + 71330 288.496 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 288.496 * [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)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 288.496 * * * * [progress]: [ 316 / 675 ] simplifiying candidate # 288.496 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 288.497 * * [simplify]: iters left: 6 (18 enodes) 288.502 * * [simplify]: iters left: 5 (73 enodes) 288.521 * * [simplify]: iters left: 4 (115 enodes) 288.557 * * [simplify]: iters left: 3 (180 enodes) 288.614 * * [simplify]: iters left: 2 (271 enodes) 288.701 * * [simplify]: iters left: 1 (449 enodes) 288.881 * * [simplify]: Extracting #0: cost 1 inf + 0 288.881 * * [simplify]: Extracting #1: cost 9 inf + 0 288.882 * * [simplify]: Extracting #2: cost 16 inf + 1 288.882 * * [simplify]: Extracting #3: cost 46 inf + 1 288.882 * * [simplify]: Extracting #4: cost 123 inf + 2 288.884 * * [simplify]: Extracting #5: cost 171 inf + 508 288.888 * * [simplify]: Extracting #6: cost 117 inf + 11289 288.902 * * [simplify]: Extracting #7: cost 21 inf + 54794 288.924 * * [simplify]: Extracting #8: cost 2 inf + 69924 288.947 * * [simplify]: Extracting #9: cost 0 inf + 70994 288.968 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 288.969 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 288.969 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 288.969 * * [simplify]: iters left: 6 (16 enodes) 288.982 * * [simplify]: iters left: 5 (65 enodes) 289.004 * * [simplify]: iters left: 4 (103 enodes) 289.036 * * [simplify]: iters left: 3 (144 enodes) 289.074 * * [simplify]: iters left: 2 (224 enodes) 289.138 * * [simplify]: iters left: 1 (403 enodes) 289.315 * * [simplify]: Extracting #0: cost 1 inf + 0 289.315 * * [simplify]: Extracting #1: cost 8 inf + 0 289.315 * * [simplify]: Extracting #2: cost 16 inf + 0 289.316 * * [simplify]: Extracting #3: cost 49 inf + 0 289.316 * * [simplify]: Extracting #4: cost 127 inf + 2 289.318 * * [simplify]: Extracting #5: cost 167 inf + 988 289.326 * * [simplify]: Extracting #6: cost 124 inf + 7664 289.335 * * [simplify]: Extracting #7: cost 63 inf + 22810 289.350 * * [simplify]: Extracting #8: cost 16 inf + 58499 289.362 * * [simplify]: Extracting #9: cost 0 inf + 74301 289.380 * * [simplify]: Extracting #10: cost 0 inf + 74184 289.393 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 289.393 * [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)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 289.393 * * * * [progress]: [ 317 / 675 ] simplifiying candidate # 289.393 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt 1))) 289.394 * * [simplify]: iters left: 6 (16 enodes) 289.401 * * [simplify]: iters left: 5 (67 enodes) 289.412 * * [simplify]: iters left: 4 (106 enodes) 289.436 * * [simplify]: iters left: 3 (154 enodes) 289.483 * * [simplify]: iters left: 2 (235 enodes) 289.542 * * [simplify]: iters left: 1 (410 enodes) 289.730 * * [simplify]: Extracting #0: cost 1 inf + 0 289.730 * * [simplify]: Extracting #1: cost 5 inf + 0 289.730 * * [simplify]: Extracting #2: cost 7 inf + 1 289.730 * * [simplify]: Extracting #3: cost 34 inf + 1 289.731 * * [simplify]: Extracting #4: cost 106 inf + 2 289.732 * * [simplify]: Extracting #5: cost 164 inf + 176 289.734 * * [simplify]: Extracting #6: cost 164 inf + 603 289.736 * * [simplify]: Extracting #7: cost 103 inf + 7837 289.739 * * [simplify]: Extracting #8: cost 54 inf + 19825 289.748 * * [simplify]: Extracting #9: cost 9 inf + 52934 289.761 * * [simplify]: Extracting #10: cost 0 inf + 60854 289.772 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 289.772 * [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 (sqrt k))) (sqrt (sqrt k))))) 289.772 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 289.772 * * [simplify]: iters left: 6 (15 enodes) 289.776 * * [simplify]: iters left: 5 (62 enodes) 289.787 * * [simplify]: iters left: 4 (95 enodes) 289.817 * * [simplify]: iters left: 3 (138 enodes) 289.854 * * [simplify]: iters left: 2 (223 enodes) 289.907 * * [simplify]: iters left: 1 (400 enodes) 290.069 * * [simplify]: Extracting #0: cost 1 inf + 0 290.069 * * [simplify]: Extracting #1: cost 6 inf + 0 290.069 * * [simplify]: Extracting #2: cost 12 inf + 0 290.069 * * [simplify]: Extracting #3: cost 37 inf + 164 290.070 * * [simplify]: Extracting #4: cost 112 inf + 246 290.071 * * [simplify]: Extracting #5: cost 156 inf + 1088 290.076 * * [simplify]: Extracting #6: cost 100 inf + 11792 290.088 * * [simplify]: Extracting #7: cost 34 inf + 40301 290.110 * * [simplify]: Extracting #8: cost 0 inf + 70380 290.133 * * [simplify]: Extracting #9: cost 0 inf + 69136 290.156 * * [simplify]: Extracting #10: cost 0 inf + 66634 290.178 * * [simplify]: Extracting #11: cost 0 inf + 66504 290.196 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 290.196 * [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)) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 290.196 * * * * [progress]: [ 318 / 675 ] simplifiying candidate # 290.197 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 290.197 * * [simplify]: iters left: 6 (18 enodes) 290.203 * * [simplify]: iters left: 5 (73 enodes) 290.216 * * [simplify]: iters left: 4 (115 enodes) 290.253 * * [simplify]: iters left: 3 (180 enodes) 290.291 * * [simplify]: iters left: 2 (271 enodes) 290.352 * * [simplify]: iters left: 1 (449 enodes) 290.519 * * [simplify]: Extracting #0: cost 1 inf + 0 290.519 * * [simplify]: Extracting #1: cost 9 inf + 0 290.520 * * [simplify]: Extracting #2: cost 16 inf + 1 290.520 * * [simplify]: Extracting #3: cost 46 inf + 1 290.520 * * [simplify]: Extracting #4: cost 123 inf + 2 290.522 * * [simplify]: Extracting #5: cost 171 inf + 508 290.526 * * [simplify]: Extracting #6: cost 117 inf + 11289 290.541 * * [simplify]: Extracting #7: cost 21 inf + 54794 290.562 * * [simplify]: Extracting #8: cost 2 inf + 69924 290.584 * * [simplify]: Extracting #9: cost 0 inf + 70994 290.598 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 290.598 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 290.598 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 290.598 * * [simplify]: iters left: 6 (16 enodes) 290.603 * * [simplify]: iters left: 5 (65 enodes) 290.616 * * [simplify]: iters left: 4 (103 enodes) 290.637 * * [simplify]: iters left: 3 (144 enodes) 290.668 * * [simplify]: iters left: 2 (224 enodes) 290.733 * * [simplify]: iters left: 1 (403 enodes) 290.912 * * [simplify]: Extracting #0: cost 1 inf + 0 290.912 * * [simplify]: Extracting #1: cost 8 inf + 0 290.913 * * [simplify]: Extracting #2: cost 16 inf + 0 290.913 * * [simplify]: Extracting #3: cost 49 inf + 0 290.913 * * [simplify]: Extracting #4: cost 127 inf + 2 290.915 * * [simplify]: Extracting #5: cost 167 inf + 988 290.919 * * [simplify]: Extracting #6: cost 124 inf + 7664 290.927 * * [simplify]: Extracting #7: cost 63 inf + 22810 290.943 * * [simplify]: Extracting #8: cost 16 inf + 58499 290.964 * * [simplify]: Extracting #9: cost 0 inf + 74301 290.985 * * [simplify]: Extracting #10: cost 0 inf + 74184 291.000 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 291.000 * [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)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 291.000 * * * * [progress]: [ 319 / 675 ] simplifiying candidate # 291.000 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt 1)) 291.000 * * [simplify]: iters left: 6 (15 enodes) 291.005 * * [simplify]: iters left: 5 (64 enodes) 291.017 * * [simplify]: iters left: 4 (104 enodes) 291.042 * * [simplify]: iters left: 3 (148 enodes) 291.087 * * [simplify]: iters left: 2 (230 enodes) 291.158 * * [simplify]: iters left: 1 (406 enodes) 291.303 * * [simplify]: Extracting #0: cost 1 inf + 0 291.303 * * [simplify]: Extracting #1: cost 5 inf + 0 291.303 * * [simplify]: Extracting #2: cost 7 inf + 1 291.303 * * [simplify]: Extracting #3: cost 35 inf + 1 291.304 * * [simplify]: Extracting #4: cost 117 inf + 2 291.305 * * [simplify]: Extracting #5: cost 168 inf + 176 291.307 * * [simplify]: Extracting #6: cost 166 inf + 1144 291.315 * * [simplify]: Extracting #7: cost 75 inf + 29700 291.332 * * [simplify]: Extracting #8: cost 0 inf + 68781 291.344 * * [simplify]: Extracting #9: cost 0 inf + 67549 291.364 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 291.364 * [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 (sqrt k))) (sqrt (sqrt k))))) 291.365 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 291.365 * * [simplify]: iters left: 6 (15 enodes) 291.372 * * [simplify]: iters left: 5 (62 enodes) 291.389 * * [simplify]: iters left: 4 (95 enodes) 291.414 * * [simplify]: iters left: 3 (138 enodes) 291.453 * * [simplify]: iters left: 2 (223 enodes) 291.532 * * [simplify]: iters left: 1 (400 enodes) 291.729 * * [simplify]: Extracting #0: cost 1 inf + 0 291.729 * * [simplify]: Extracting #1: cost 6 inf + 0 291.729 * * [simplify]: Extracting #2: cost 12 inf + 0 291.729 * * [simplify]: Extracting #3: cost 37 inf + 164 291.730 * * [simplify]: Extracting #4: cost 112 inf + 246 291.731 * * [simplify]: Extracting #5: cost 156 inf + 1088 291.735 * * [simplify]: Extracting #6: cost 100 inf + 11792 291.741 * * [simplify]: Extracting #7: cost 34 inf + 40301 291.752 * * [simplify]: Extracting #8: cost 0 inf + 70380 291.773 * * [simplify]: Extracting #9: cost 0 inf + 69136 291.785 * * [simplify]: Extracting #10: cost 0 inf + 66634 291.799 * * [simplify]: Extracting #11: cost 0 inf + 66504 291.810 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 291.810 * [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)) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 291.810 * * * * [progress]: [ 320 / 675 ] simplifiying candidate # 291.810 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 291.810 * * [simplify]: iters left: 6 (18 enodes) 291.816 * * [simplify]: iters left: 5 (73 enodes) 291.829 * * [simplify]: iters left: 4 (115 enodes) 291.858 * * [simplify]: iters left: 3 (180 enodes) 291.898 * * [simplify]: iters left: 2 (271 enodes) 291.986 * * [simplify]: iters left: 1 (449 enodes) 292.160 * * [simplify]: Extracting #0: cost 1 inf + 0 292.160 * * [simplify]: Extracting #1: cost 9 inf + 0 292.160 * * [simplify]: Extracting #2: cost 16 inf + 1 292.160 * * [simplify]: Extracting #3: cost 46 inf + 1 292.160 * * [simplify]: Extracting #4: cost 123 inf + 2 292.161 * * [simplify]: Extracting #5: cost 171 inf + 508 292.163 * * [simplify]: Extracting #6: cost 117 inf + 11289 292.171 * * [simplify]: Extracting #7: cost 21 inf + 54794 292.182 * * [simplify]: Extracting #8: cost 2 inf + 69924 292.208 * * [simplify]: Extracting #9: cost 0 inf + 70994 292.222 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 292.222 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 292.223 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 292.223 * * [simplify]: iters left: 6 (16 enodes) 292.227 * * [simplify]: iters left: 5 (65 enodes) 292.238 * * [simplify]: iters left: 4 (103 enodes) 292.266 * * [simplify]: iters left: 3 (144 enodes) 292.296 * * [simplify]: iters left: 2 (224 enodes) 292.351 * * [simplify]: iters left: 1 (403 enodes) 292.509 * * [simplify]: Extracting #0: cost 1 inf + 0 292.509 * * [simplify]: Extracting #1: cost 8 inf + 0 292.509 * * [simplify]: Extracting #2: cost 16 inf + 0 292.509 * * [simplify]: Extracting #3: cost 49 inf + 0 292.510 * * [simplify]: Extracting #4: cost 127 inf + 2 292.512 * * [simplify]: Extracting #5: cost 167 inf + 988 292.515 * * [simplify]: Extracting #6: cost 124 inf + 7664 292.524 * * [simplify]: Extracting #7: cost 63 inf + 22810 292.540 * * [simplify]: Extracting #8: cost 16 inf + 58499 292.561 * * [simplify]: Extracting #9: cost 0 inf + 74301 292.582 * * [simplify]: Extracting #10: cost 0 inf + 74184 292.603 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 292.603 * [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)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 292.603 * * * * [progress]: [ 321 / 675 ] simplifiying candidate # 292.604 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 1) 292.604 * * [simplify]: iters left: 6 (15 enodes) 292.613 * * [simplify]: iters left: 5 (62 enodes) 292.638 * * [simplify]: iters left: 4 (104 enodes) 292.658 * * [simplify]: iters left: 3 (149 enodes) 292.689 * * [simplify]: iters left: 2 (229 enodes) 292.762 * * [simplify]: iters left: 1 (415 enodes) 292.932 * * [simplify]: Extracting #0: cost 1 inf + 0 292.932 * * [simplify]: Extracting #1: cost 5 inf + 0 292.933 * * [simplify]: Extracting #2: cost 7 inf + 1 292.933 * * [simplify]: Extracting #3: cost 34 inf + 1 292.933 * * [simplify]: Extracting #4: cost 109 inf + 2 292.935 * * [simplify]: Extracting #5: cost 169 inf + 176 292.936 * * [simplify]: Extracting #6: cost 171 inf + 478 292.945 * * [simplify]: Extracting #7: cost 104 inf + 9079 292.954 * * [simplify]: Extracting #8: cost 44 inf + 28969 292.972 * * [simplify]: Extracting #9: cost 0 inf + 64342 292.987 * * [simplify]: Extracting #10: cost 0 inf + 63676 292.999 * * [simplify]: Extracting #11: cost 0 inf + 63674 293.009 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 293.009 * [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 (sqrt k))) (sqrt (sqrt k))))) 293.009 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 293.010 * * [simplify]: iters left: 6 (15 enodes) 293.014 * * [simplify]: iters left: 5 (62 enodes) 293.034 * * [simplify]: iters left: 4 (95 enodes) 293.053 * * [simplify]: iters left: 3 (138 enodes) 293.081 * * [simplify]: iters left: 2 (223 enodes) 293.162 * * [simplify]: iters left: 1 (400 enodes) 293.325 * * [simplify]: Extracting #0: cost 1 inf + 0 293.325 * * [simplify]: Extracting #1: cost 6 inf + 0 293.326 * * [simplify]: Extracting #2: cost 12 inf + 0 293.326 * * [simplify]: Extracting #3: cost 37 inf + 164 293.326 * * [simplify]: Extracting #4: cost 112 inf + 246 293.328 * * [simplify]: Extracting #5: cost 156 inf + 1088 293.333 * * [simplify]: Extracting #6: cost 100 inf + 11792 293.344 * * [simplify]: Extracting #7: cost 34 inf + 40301 293.367 * * [simplify]: Extracting #8: cost 0 inf + 70380 293.395 * * [simplify]: Extracting #9: cost 0 inf + 69136 293.418 * * [simplify]: Extracting #10: cost 0 inf + 66634 293.435 * * [simplify]: Extracting #11: cost 0 inf + 66504 293.447 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 293.447 * [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)) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 293.447 * * * * [progress]: [ 322 / 675 ] simplifiying candidate # 293.447 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 293.447 * * [simplify]: iters left: 6 (19 enodes) 293.453 * * [simplify]: iters left: 5 (78 enodes) 293.470 * * [simplify]: iters left: 4 (129 enodes) 293.516 * * [simplify]: iters left: 3 (219 enodes) 293.579 * * [simplify]: iters left: 2 (368 enodes) 293.672 * * [simplify]: Extracting #0: cost 1 inf + 0 293.672 * * [simplify]: Extracting #1: cost 23 inf + 0 293.672 * * [simplify]: Extracting #2: cost 47 inf + 0 293.672 * * [simplify]: Extracting #3: cost 61 inf + 0 293.673 * * [simplify]: Extracting #4: cost 111 inf + 1 293.673 * * [simplify]: Extracting #5: cost 136 inf + 591 293.675 * * [simplify]: Extracting #6: cost 91 inf + 6794 293.683 * * [simplify]: Extracting #7: cost 33 inf + 28771 293.699 * * [simplify]: Extracting #8: cost 0 inf + 51875 293.716 * * [simplify]: Extracting #9: cost 0 inf + 51835 293.736 * [simplify]: Simplified to (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 293.736 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 293.736 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 293.737 * * [simplify]: iters left: 6 (17 enodes) 293.745 * * [simplify]: iters left: 5 (68 enodes) 293.767 * * [simplify]: iters left: 4 (106 enodes) 293.800 * * [simplify]: iters left: 3 (151 enodes) 293.848 * * [simplify]: iters left: 2 (232 enodes) 293.912 * * [simplify]: iters left: 1 (413 enodes) 294.135 * * [simplify]: Extracting #0: cost 1 inf + 0 294.135 * * [simplify]: Extracting #1: cost 8 inf + 0 294.135 * * [simplify]: Extracting #2: cost 16 inf + 0 294.135 * * [simplify]: Extracting #3: cost 45 inf + 0 294.136 * * [simplify]: Extracting #4: cost 128 inf + 1 294.137 * * [simplify]: Extracting #5: cost 180 inf + 677 294.141 * * [simplify]: Extracting #6: cost 128 inf + 10512 294.153 * * [simplify]: Extracting #7: cost 24 inf + 51860 294.166 * * [simplify]: Extracting #8: cost 0 inf + 62968 294.185 * * [simplify]: Extracting #9: cost 0 inf + 61851 294.206 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 294.206 * [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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 294.207 * * * * [progress]: [ 323 / 675 ] simplifiying candidate # 294.207 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 294.207 * * [simplify]: iters left: 6 (20 enodes) 294.213 * * [simplify]: iters left: 5 (80 enodes) 294.228 * * [simplify]: iters left: 4 (128 enodes) 294.268 * * [simplify]: iters left: 3 (188 enodes) 294.299 * * [simplify]: iters left: 2 (279 enodes) 294.372 * * [simplify]: iters left: 1 (472 enodes) 294.591 * * [simplify]: Extracting #0: cost 1 inf + 0 294.591 * * [simplify]: Extracting #1: cost 15 inf + 0 294.591 * * [simplify]: Extracting #2: cost 32 inf + 0 294.591 * * [simplify]: Extracting #3: cost 65 inf + 0 294.592 * * [simplify]: Extracting #4: cost 152 inf + 1 294.594 * * [simplify]: Extracting #5: cost 209 inf + 260 294.598 * * [simplify]: Extracting #6: cost 140 inf + 13993 294.613 * * [simplify]: Extracting #7: cost 41 inf + 53023 294.637 * * [simplify]: Extracting #8: cost 2 inf + 84821 294.650 * * [simplify]: Extracting #9: cost 0 inf + 85968 294.663 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) 294.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 294.664 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 294.664 * * [simplify]: iters left: 6 (18 enodes) 294.676 * * [simplify]: iters left: 5 (71 enodes) 294.699 * * [simplify]: iters left: 4 (109 enodes) 294.732 * * [simplify]: iters left: 3 (153 enodes) 294.780 * * [simplify]: iters left: 2 (234 enodes) 294.843 * * [simplify]: iters left: 1 (413 enodes) 294.992 * * [simplify]: Extracting #0: cost 1 inf + 0 294.992 * * [simplify]: Extracting #1: cost 8 inf + 0 294.992 * * [simplify]: Extracting #2: cost 17 inf + 0 294.992 * * [simplify]: Extracting #3: cost 48 inf + 0 294.993 * * [simplify]: Extracting #4: cost 127 inf + 1 294.994 * * [simplify]: Extracting #5: cost 177 inf + 1176 294.998 * * [simplify]: Extracting #6: cost 116 inf + 12643 295.009 * * [simplify]: Extracting #7: cost 40 inf + 36334 295.018 * * [simplify]: Extracting #8: cost 6 inf + 65572 295.029 * * [simplify]: Extracting #9: cost 0 inf + 71490 295.044 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 295.044 * [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 (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 295.044 * * * * [progress]: [ 324 / 675 ] simplifiying candidate # 295.045 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 295.045 * * [simplify]: iters left: 6 (21 enodes) 295.056 * * [simplify]: iters left: 5 (83 enodes) 295.073 * * [simplify]: iters left: 4 (131 enodes) 295.102 * * [simplify]: iters left: 3 (191 enodes) 295.137 * * [simplify]: iters left: 2 (282 enodes) 295.200 * * [simplify]: iters left: 1 (465 enodes) 295.377 * * [simplify]: Extracting #0: cost 1 inf + 0 295.377 * * [simplify]: Extracting #1: cost 15 inf + 0 295.377 * * [simplify]: Extracting #2: cost 31 inf + 0 295.377 * * [simplify]: Extracting #3: cost 66 inf + 0 295.377 * * [simplify]: Extracting #4: cost 146 inf + 1 295.378 * * [simplify]: Extracting #5: cost 201 inf + 301 295.380 * * [simplify]: Extracting #6: cost 138 inf + 10511 295.386 * * [simplify]: Extracting #7: cost 56 inf + 39811 295.397 * * [simplify]: Extracting #8: cost 5 inf + 80656 295.420 * * [simplify]: Extracting #9: cost 0 inf + 84135 295.444 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 295.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 295.445 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 295.445 * * [simplify]: iters left: 6 (19 enodes) 295.459 * * [simplify]: iters left: 5 (74 enodes) 295.484 * * [simplify]: iters left: 4 (108 enodes) 295.516 * * [simplify]: iters left: 3 (153 enodes) 295.570 * * [simplify]: iters left: 2 (251 enodes) 295.635 * * [simplify]: iters left: 1 (423 enodes) 295.815 * * [simplify]: Extracting #0: cost 1 inf + 0 295.815 * * [simplify]: Extracting #1: cost 8 inf + 0 295.815 * * [simplify]: Extracting #2: cost 17 inf + 0 295.815 * * [simplify]: Extracting #3: cost 48 inf + 0 295.815 * * [simplify]: Extracting #4: cost 133 inf + 1 295.816 * * [simplify]: Extracting #5: cost 197 inf + 427 295.819 * * [simplify]: Extracting #6: cost 135 inf + 11701 295.832 * * [simplify]: Extracting #7: cost 44 inf + 43202 295.854 * * [simplify]: Extracting #8: cost 2 inf + 74887 295.870 * * [simplify]: Extracting #9: cost 0 inf + 76133 295.881 * * [simplify]: Extracting #10: cost 0 inf + 75696 295.892 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 295.892 * [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 (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 295.893 * * * * [progress]: [ 325 / 675 ] simplifiying candidate # 295.893 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 295.893 * * [simplify]: iters left: 6 (17 enodes) 295.905 * * [simplify]: iters left: 5 (70 enodes) 295.917 * * [simplify]: iters left: 4 (110 enodes) 295.934 * * [simplify]: iters left: 3 (162 enodes) 295.976 * * [simplify]: iters left: 2 (248 enodes) 296.048 * * [simplify]: iters left: 1 (427 enodes) 296.258 * * [simplify]: Extracting #0: cost 1 inf + 0 296.259 * * [simplify]: Extracting #1: cost 11 inf + 0 296.259 * * [simplify]: Extracting #2: cost 22 inf + 0 296.259 * * [simplify]: Extracting #3: cost 51 inf + 0 296.260 * * [simplify]: Extracting #4: cost 129 inf + 2 296.261 * * [simplify]: Extracting #5: cost 176 inf + 871 296.267 * * [simplify]: Extracting #6: cost 98 inf + 20339 296.287 * * [simplify]: Extracting #7: cost 16 inf + 55539 296.315 * * [simplify]: Extracting #8: cost 0 inf + 65607 296.343 * * [simplify]: Extracting #9: cost 0 inf + 63133 296.373 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 296.373 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 296.373 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 296.373 * * [simplify]: iters left: 6 (16 enodes) 296.382 * * [simplify]: iters left: 5 (65 enodes) 296.407 * * [simplify]: iters left: 4 (98 enodes) 296.428 * * [simplify]: iters left: 3 (138 enodes) 296.451 * * [simplify]: iters left: 2 (218 enodes) 296.531 * * [simplify]: iters left: 1 (395 enodes) 296.676 * * [simplify]: Extracting #0: cost 1 inf + 0 296.676 * * [simplify]: Extracting #1: cost 6 inf + 0 296.676 * * [simplify]: Extracting #2: cost 12 inf + 0 296.676 * * [simplify]: Extracting #3: cost 41 inf + 0 296.677 * * [simplify]: Extracting #4: cost 115 inf + 2 296.678 * * [simplify]: Extracting #5: cost 159 inf + 628 296.681 * * [simplify]: Extracting #6: cost 112 inf + 8834 296.691 * * [simplify]: Extracting #7: cost 32 inf + 42197 296.716 * * [simplify]: Extracting #8: cost 0 inf + 66591 296.731 * * [simplify]: Extracting #9: cost 0 inf + 65379 296.741 * * [simplify]: Extracting #10: cost 0 inf + 65209 296.751 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 296.751 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 296.751 * * * * [progress]: [ 326 / 675 ] simplifiying candidate # 296.751 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 296.751 * * [simplify]: iters left: 6 (19 enodes) 296.758 * * [simplify]: iters left: 5 (76 enodes) 296.771 * * [simplify]: iters left: 4 (113 enodes) 296.806 * * [simplify]: iters left: 3 (171 enodes) 296.849 * * [simplify]: iters left: 2 (280 enodes) 296.935 * * [simplify]: iters left: 1 (453 enodes) 297.082 * * [simplify]: Extracting #0: cost 1 inf + 0 297.082 * * [simplify]: Extracting #1: cost 9 inf + 0 297.082 * * [simplify]: Extracting #2: cost 16 inf + 1 297.083 * * [simplify]: Extracting #3: cost 45 inf + 1 297.083 * * [simplify]: Extracting #4: cost 122 inf + 2 297.085 * * [simplify]: Extracting #5: cost 190 inf + 260 297.089 * * [simplify]: Extracting #6: cost 137 inf + 8567 297.101 * * [simplify]: Extracting #7: cost 44 inf + 35670 297.114 * * [simplify]: Extracting #8: cost 15 inf + 56209 297.125 * * [simplify]: Extracting #9: cost 0 inf + 68801 297.144 * * [simplify]: Extracting #10: cost 0 inf + 68215 297.168 * * [simplify]: Extracting #11: cost 0 inf + 67957 297.192 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) 297.192 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 297.193 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 297.193 * * [simplify]: iters left: 6 (16 enodes) 297.202 * * [simplify]: iters left: 5 (65 enodes) 297.215 * * [simplify]: iters left: 4 (103 enodes) 297.233 * * [simplify]: iters left: 3 (144 enodes) 297.264 * * [simplify]: iters left: 2 (224 enodes) 297.344 * * [simplify]: iters left: 1 (403 enodes) 297.497 * * [simplify]: Extracting #0: cost 1 inf + 0 297.497 * * [simplify]: Extracting #1: cost 8 inf + 0 297.497 * * [simplify]: Extracting #2: cost 16 inf + 0 297.497 * * [simplify]: Extracting #3: cost 49 inf + 0 297.498 * * [simplify]: Extracting #4: cost 127 inf + 2 297.498 * * [simplify]: Extracting #5: cost 168 inf + 867 297.500 * * [simplify]: Extracting #6: cost 124 inf + 7664 297.504 * * [simplify]: Extracting #7: cost 63 inf + 22810 297.512 * * [simplify]: Extracting #8: cost 16 inf + 58499 297.522 * * [simplify]: Extracting #9: cost 0 inf + 74301 297.535 * * [simplify]: Extracting #10: cost 0 inf + 74184 297.545 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 297.545 * [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 (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 297.545 * * * * [progress]: [ 327 / 675 ] simplifiying candidate # 297.546 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 297.546 * * [simplify]: iters left: 6 (17 enodes) 297.550 * * [simplify]: iters left: 5 (70 enodes) 297.564 * * [simplify]: iters left: 4 (110 enodes) 297.584 * * [simplify]: iters left: 3 (162 enodes) 297.613 * * [simplify]: iters left: 2 (248 enodes) 297.669 * * [simplify]: iters left: 1 (427 enodes) 297.877 * * [simplify]: Extracting #0: cost 1 inf + 0 297.877 * * [simplify]: Extracting #1: cost 11 inf + 0 297.877 * * [simplify]: Extracting #2: cost 22 inf + 0 297.877 * * [simplify]: Extracting #3: cost 51 inf + 0 297.878 * * [simplify]: Extracting #4: cost 129 inf + 2 297.879 * * [simplify]: Extracting #5: cost 176 inf + 871 297.882 * * [simplify]: Extracting #6: cost 98 inf + 20339 297.892 * * [simplify]: Extracting #7: cost 16 inf + 55539 297.918 * * [simplify]: Extracting #8: cost 0 inf + 65607 297.941 * * [simplify]: Extracting #9: cost 0 inf + 63133 297.960 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 297.960 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 297.960 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 297.960 * * [simplify]: iters left: 6 (16 enodes) 297.967 * * [simplify]: iters left: 5 (65 enodes) 297.987 * * [simplify]: iters left: 4 (98 enodes) 298.017 * * [simplify]: iters left: 3 (138 enodes) 298.045 * * [simplify]: iters left: 2 (218 enodes) 298.127 * * [simplify]: iters left: 1 (395 enodes) 298.296 * * [simplify]: Extracting #0: cost 1 inf + 0 298.296 * * [simplify]: Extracting #1: cost 6 inf + 0 298.296 * * [simplify]: Extracting #2: cost 12 inf + 0 298.296 * * [simplify]: Extracting #3: cost 41 inf + 0 298.297 * * [simplify]: Extracting #4: cost 115 inf + 2 298.298 * * [simplify]: Extracting #5: cost 159 inf + 628 298.302 * * [simplify]: Extracting #6: cost 112 inf + 8834 298.312 * * [simplify]: Extracting #7: cost 32 inf + 42197 298.321 * * [simplify]: Extracting #8: cost 0 inf + 66591 298.331 * * [simplify]: Extracting #9: cost 0 inf + 65379 298.345 * * [simplify]: Extracting #10: cost 0 inf + 65209 298.366 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 298.366 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 298.367 * * * * [progress]: [ 328 / 675 ] simplifiying candidate # 298.367 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 298.367 * * [simplify]: iters left: 6 (18 enodes) 298.377 * * [simplify]: iters left: 5 (73 enodes) 298.389 * * [simplify]: iters left: 4 (114 enodes) 298.412 * * [simplify]: iters left: 3 (171 enodes) 298.466 * * [simplify]: iters left: 2 (263 enodes) 298.539 * * [simplify]: iters left: 1 (440 enodes) 298.687 * * [simplify]: Extracting #0: cost 1 inf + 0 298.687 * * [simplify]: Extracting #1: cost 9 inf + 0 298.687 * * [simplify]: Extracting #2: cost 16 inf + 1 298.687 * * [simplify]: Extracting #3: cost 46 inf + 1 298.688 * * [simplify]: Extracting #4: cost 121 inf + 2 298.692 * * [simplify]: Extracting #5: cost 177 inf + 343 298.693 * * [simplify]: Extracting #6: cost 129 inf + 7167 298.700 * * [simplify]: Extracting #7: cost 32 inf + 46973 298.710 * * [simplify]: Extracting #8: cost 1 inf + 70307 298.723 * * [simplify]: Extracting #9: cost 0 inf + 70084 298.739 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 298.739 * [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))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 298.739 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 298.739 * * [simplify]: iters left: 6 (16 enodes) 298.744 * * [simplify]: iters left: 5 (65 enodes) 298.754 * * [simplify]: iters left: 4 (103 enodes) 298.770 * * [simplify]: iters left: 3 (144 enodes) 298.795 * * [simplify]: iters left: 2 (224 enodes) 298.841 * * [simplify]: iters left: 1 (403 enodes) 298.992 * * [simplify]: Extracting #0: cost 1 inf + 0 298.993 * * [simplify]: Extracting #1: cost 8 inf + 0 298.993 * * [simplify]: Extracting #2: cost 16 inf + 0 298.993 * * [simplify]: Extracting #3: cost 49 inf + 0 298.994 * * [simplify]: Extracting #4: cost 127 inf + 2 298.995 * * [simplify]: Extracting #5: cost 168 inf + 867 298.999 * * [simplify]: Extracting #6: cost 124 inf + 7664 299.008 * * [simplify]: Extracting #7: cost 63 inf + 22810 299.023 * * [simplify]: Extracting #8: cost 16 inf + 58499 299.033 * * [simplify]: Extracting #9: cost 0 inf + 74301 299.046 * * [simplify]: Extracting #10: cost 0 inf + 74184 299.064 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 299.064 * [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 (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 299.064 * * * * [progress]: [ 329 / 675 ] simplifiying candidate # 299.064 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 299.065 * * [simplify]: iters left: 6 (17 enodes) 299.074 * * [simplify]: iters left: 5 (70 enodes) 299.086 * * [simplify]: iters left: 4 (110 enodes) 299.105 * * [simplify]: iters left: 3 (162 enodes) 299.135 * * [simplify]: iters left: 2 (248 enodes) 299.195 * * [simplify]: iters left: 1 (427 enodes) 299.341 * * [simplify]: Extracting #0: cost 1 inf + 0 299.341 * * [simplify]: Extracting #1: cost 11 inf + 0 299.342 * * [simplify]: Extracting #2: cost 22 inf + 0 299.342 * * [simplify]: Extracting #3: cost 51 inf + 0 299.342 * * [simplify]: Extracting #4: cost 129 inf + 2 299.343 * * [simplify]: Extracting #5: cost 176 inf + 871 299.346 * * [simplify]: Extracting #6: cost 98 inf + 20339 299.358 * * [simplify]: Extracting #7: cost 16 inf + 55539 299.386 * * [simplify]: Extracting #8: cost 0 inf + 65607 299.416 * * [simplify]: Extracting #9: cost 0 inf + 63133 299.449 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 299.449 * [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 (sqrt k))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 299.450 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 299.450 * * [simplify]: iters left: 6 (16 enodes) 299.459 * * [simplify]: iters left: 5 (65 enodes) 299.481 * * [simplify]: iters left: 4 (98 enodes) 299.510 * * [simplify]: iters left: 3 (138 enodes) 299.534 * * [simplify]: iters left: 2 (218 enodes) 299.613 * * [simplify]: iters left: 1 (395 enodes) 299.778 * * [simplify]: Extracting #0: cost 1 inf + 0 299.778 * * [simplify]: Extracting #1: cost 6 inf + 0 299.778 * * [simplify]: Extracting #2: cost 12 inf + 0 299.779 * * [simplify]: Extracting #3: cost 41 inf + 0 299.779 * * [simplify]: Extracting #4: cost 115 inf + 2 299.780 * * [simplify]: Extracting #5: cost 159 inf + 628 299.788 * * [simplify]: Extracting #6: cost 112 inf + 8834 299.800 * * [simplify]: Extracting #7: cost 32 inf + 42197 299.820 * * [simplify]: Extracting #8: cost 0 inf + 66591 299.840 * * [simplify]: Extracting #9: cost 0 inf + 65379 299.860 * * [simplify]: Extracting #10: cost 0 inf + 65209 299.880 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 299.880 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 299.880 * * * * [progress]: [ 330 / 675 ] simplifiying candidate # 299.881 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 1) 299.881 * * [simplify]: iters left: 6 (17 enodes) 299.891 * * [simplify]: iters left: 5 (68 enodes) 299.913 * * [simplify]: iters left: 4 (112 enodes) 299.953 * * [simplify]: iters left: 3 (167 enodes) 300.001 * * [simplify]: iters left: 2 (257 enodes) 300.074 * * [simplify]: iters left: 1 (433 enodes) 300.251 * * [simplify]: Extracting #0: cost 1 inf + 0 300.252 * * [simplify]: Extracting #1: cost 9 inf + 0 300.252 * * [simplify]: Extracting #2: cost 16 inf + 1 300.252 * * [simplify]: Extracting #3: cost 46 inf + 1 300.253 * * [simplify]: Extracting #4: cost 123 inf + 2 300.254 * * [simplify]: Extracting #5: cost 170 inf + 302 300.257 * * [simplify]: Extracting #6: cost 124 inf + 5752 300.274 * * [simplify]: Extracting #7: cost 36 inf + 41694 300.295 * * [simplify]: Extracting #8: cost 2 inf + 68392 300.316 * * [simplify]: Extracting #9: cost 0 inf + 69255 300.332 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 300.332 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 300.333 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 300.333 * * [simplify]: iters left: 6 (16 enodes) 300.337 * * [simplify]: iters left: 5 (65 enodes) 300.348 * * [simplify]: iters left: 4 (103 enodes) 300.364 * * [simplify]: iters left: 3 (144 enodes) 300.394 * * [simplify]: iters left: 2 (224 enodes) 300.476 * * [simplify]: iters left: 1 (403 enodes) 300.688 * * [simplify]: Extracting #0: cost 1 inf + 0 300.688 * * [simplify]: Extracting #1: cost 8 inf + 0 300.688 * * [simplify]: Extracting #2: cost 16 inf + 0 300.688 * * [simplify]: Extracting #3: cost 49 inf + 0 300.689 * * [simplify]: Extracting #4: cost 127 inf + 2 300.690 * * [simplify]: Extracting #5: cost 168 inf + 867 300.694 * * [simplify]: Extracting #6: cost 124 inf + 7664 300.702 * * [simplify]: Extracting #7: cost 63 inf + 22810 300.718 * * [simplify]: Extracting #8: cost 16 inf + 58499 300.738 * * [simplify]: Extracting #9: cost 0 inf + 74301 300.759 * * [simplify]: Extracting #10: cost 0 inf + 74184 300.782 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 300.783 * [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 (sqrt k)))) 1) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 300.783 * * * * [progress]: [ 331 / 675 ] simplifiying candidate # 300.783 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 300.783 * * [simplify]: iters left: 6 (18 enodes) 300.793 * * [simplify]: iters left: 5 (73 enodes) 300.818 * * [simplify]: iters left: 4 (133 enodes) 300.862 * * [simplify]: iters left: 3 (214 enodes) 300.938 * * [simplify]: iters left: 2 (351 enodes) 301.005 * * [simplify]: Extracting #0: cost 1 inf + 0 301.005 * * [simplify]: Extracting #1: cost 13 inf + 0 301.005 * * [simplify]: Extracting #2: cost 24 inf + 1 301.005 * * [simplify]: Extracting #3: cost 38 inf + 1 301.005 * * [simplify]: Extracting #4: cost 90 inf + 2 301.006 * * [simplify]: Extracting #5: cost 124 inf + 50 301.007 * * [simplify]: Extracting #6: cost 88 inf + 4338 301.013 * * [simplify]: Extracting #7: cost 29 inf + 21934 301.025 * * [simplify]: Extracting #8: cost 4 inf + 34967 301.034 * * [simplify]: Extracting #9: cost 0 inf + 37619 301.040 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 301.040 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 301.041 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 301.041 * * [simplify]: iters left: 6 (16 enodes) 301.045 * * [simplify]: iters left: 5 (65 enodes) 301.056 * * [simplify]: iters left: 4 (103 enodes) 301.072 * * [simplify]: iters left: 3 (144 enodes) 301.098 * * [simplify]: iters left: 2 (224 enodes) 301.147 * * [simplify]: iters left: 1 (403 enodes) 301.324 * * [simplify]: Extracting #0: cost 1 inf + 0 301.324 * * [simplify]: Extracting #1: cost 8 inf + 0 301.324 * * [simplify]: Extracting #2: cost 16 inf + 0 301.325 * * [simplify]: Extracting #3: cost 49 inf + 0 301.325 * * [simplify]: Extracting #4: cost 127 inf + 2 301.326 * * [simplify]: Extracting #5: cost 167 inf + 1148 301.328 * * [simplify]: Extracting #6: cost 124 inf + 7824 301.332 * * [simplify]: Extracting #7: cost 63 inf + 23090 301.339 * * [simplify]: Extracting #8: cost 16 inf + 58819 301.350 * * [simplify]: Extracting #9: cost 0 inf + 74621 301.360 * * [simplify]: Extracting #10: cost 0 inf + 74504 301.380 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 301.380 * [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 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 301.381 * * * * [progress]: [ 332 / 675 ] simplifiying candidate # 301.381 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 301.381 * * [simplify]: iters left: 6 (18 enodes) 301.391 * * [simplify]: iters left: 5 (72 enodes) 301.405 * * [simplify]: iters left: 4 (117 enodes) 301.424 * * [simplify]: iters left: 3 (175 enodes) 301.466 * * [simplify]: iters left: 2 (285 enodes) 301.547 * * [simplify]: iters left: 1 (469 enodes) 301.705 * * [simplify]: Extracting #0: cost 1 inf + 0 301.705 * * [simplify]: Extracting #1: cost 9 inf + 0 301.705 * * [simplify]: Extracting #2: cost 17 inf + 1 301.706 * * [simplify]: Extracting #3: cost 45 inf + 1 301.706 * * [simplify]: Extracting #4: cost 121 inf + 2 301.708 * * [simplify]: Extracting #5: cost 180 inf + 260 301.711 * * [simplify]: Extracting #6: cost 132 inf + 9904 301.723 * * [simplify]: Extracting #7: cost 44 inf + 37053 301.736 * * [simplify]: Extracting #8: cost 2 inf + 71158 301.748 * * [simplify]: Extracting #9: cost 0 inf + 69311 301.769 * * [simplify]: Extracting #10: cost 0 inf + 67053 301.792 * * [simplify]: Extracting #11: cost 0 inf + 66320 301.814 * * [simplify]: Extracting #12: cost 0 inf + 66140 301.839 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 301.839 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 301.839 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 301.840 * * [simplify]: iters left: 6 (17 enodes) 301.849 * * [simplify]: iters left: 5 (68 enodes) 301.861 * * [simplify]: iters left: 4 (106 enodes) 301.878 * * [simplify]: iters left: 3 (151 enodes) 301.916 * * [simplify]: iters left: 2 (232 enodes) 301.974 * * [simplify]: iters left: 1 (413 enodes) 302.129 * * [simplify]: Extracting #0: cost 1 inf + 0 302.129 * * [simplify]: Extracting #1: cost 8 inf + 0 302.129 * * [simplify]: Extracting #2: cost 17 inf + 0 302.129 * * [simplify]: Extracting #3: cost 47 inf + 0 302.129 * * [simplify]: Extracting #4: cost 127 inf + 2 302.130 * * [simplify]: Extracting #5: cost 172 inf + 1368 302.133 * * [simplify]: Extracting #6: cost 106 inf + 14330 302.141 * * [simplify]: Extracting #7: cost 18 inf + 55615 302.161 * * [simplify]: Extracting #8: cost 0 inf + 64483 302.194 * * [simplify]: Extracting #9: cost 0 inf + 63406 302.223 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 302.223 * [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) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 302.224 * * * * [progress]: [ 333 / 675 ] simplifiying candidate # 302.224 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 302.224 * * [simplify]: iters left: 6 (18 enodes) 302.234 * * [simplify]: iters left: 5 (72 enodes) 302.258 * * [simplify]: iters left: 4 (117 enodes) 302.293 * * [simplify]: iters left: 3 (175 enodes) 302.336 * * [simplify]: iters left: 2 (285 enodes) 302.415 * * [simplify]: iters left: 1 (469 enodes) 302.602 * * [simplify]: Extracting #0: cost 1 inf + 0 302.602 * * [simplify]: Extracting #1: cost 9 inf + 0 302.602 * * [simplify]: Extracting #2: cost 16 inf + 1 302.602 * * [simplify]: Extracting #3: cost 44 inf + 1 302.603 * * [simplify]: Extracting #4: cost 121 inf + 2 302.604 * * [simplify]: Extracting #5: cost 180 inf + 260 302.607 * * [simplify]: Extracting #6: cost 132 inf + 9866 302.620 * * [simplify]: Extracting #7: cost 43 inf + 37882 302.637 * * [simplify]: Extracting #8: cost 2 inf + 71365 302.651 * * [simplify]: Extracting #9: cost 0 inf + 69273 302.662 * * [simplify]: Extracting #10: cost 0 inf + 66963 302.682 * * [simplify]: Extracting #11: cost 0 inf + 66140 302.705 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 302.705 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 302.706 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 302.706 * * [simplify]: iters left: 6 (18 enodes) 302.715 * * [simplify]: iters left: 5 (71 enodes) 302.739 * * [simplify]: iters left: 4 (109 enodes) 302.757 * * [simplify]: iters left: 3 (153 enodes) 302.791 * * [simplify]: iters left: 2 (234 enodes) 302.876 * * [simplify]: iters left: 1 (413 enodes) 303.064 * * [simplify]: Extracting #0: cost 1 inf + 0 303.064 * * [simplify]: Extracting #1: cost 8 inf + 0 303.064 * * [simplify]: Extracting #2: cost 17 inf + 0 303.064 * * [simplify]: Extracting #3: cost 49 inf + 0 303.065 * * [simplify]: Extracting #4: cost 123 inf + 365 303.067 * * [simplify]: Extracting #5: cost 164 inf + 2750 303.072 * * [simplify]: Extracting #6: cost 109 inf + 13454 303.083 * * [simplify]: Extracting #7: cost 40 inf + 36174 303.100 * * [simplify]: Extracting #8: cost 6 inf + 65412 303.124 * * [simplify]: Extracting #9: cost 0 inf + 71330 303.145 * [simplify]: Simplified to (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 303.145 * [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) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 303.145 * * * * [progress]: [ 334 / 675 ] simplifiying candidate # 303.145 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) 303.146 * * [simplify]: iters left: 6 (17 enodes) 303.155 * * [simplify]: iters left: 5 (68 enodes) 303.178 * * [simplify]: iters left: 4 (117 enodes) 303.216 * * [simplify]: iters left: 3 (174 enodes) 303.273 * * [simplify]: iters left: 2 (267 enodes) 303.348 * * [simplify]: iters left: 1 (442 enodes) 303.480 * * [simplify]: Extracting #0: cost 1 inf + 0 303.480 * * [simplify]: Extracting #1: cost 9 inf + 0 303.480 * * [simplify]: Extracting #2: cost 16 inf + 1 303.481 * * [simplify]: Extracting #3: cost 45 inf + 1 303.481 * * [simplify]: Extracting #4: cost 125 inf + 2 303.482 * * [simplify]: Extracting #5: cost 173 inf + 302 303.484 * * [simplify]: Extracting #6: cost 121 inf + 9280 303.489 * * [simplify]: Extracting #7: cost 50 inf + 27717 303.500 * * [simplify]: Extracting #8: cost 8 inf + 60776 303.515 * * [simplify]: Extracting #9: cost 0 inf + 67369 303.544 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 303.544 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 303.545 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 303.545 * * [simplify]: iters left: 6 (16 enodes) 303.554 * * [simplify]: iters left: 5 (65 enodes) 303.567 * * [simplify]: iters left: 4 (103 enodes) 303.586 * * [simplify]: iters left: 3 (144 enodes) 303.633 * * [simplify]: iters left: 2 (224 enodes) 303.717 * * [simplify]: iters left: 1 (403 enodes) 303.841 * * [simplify]: Extracting #0: cost 1 inf + 0 303.841 * * [simplify]: Extracting #1: cost 8 inf + 0 303.841 * * [simplify]: Extracting #2: cost 16 inf + 0 303.841 * * [simplify]: Extracting #3: cost 49 inf + 0 303.842 * * [simplify]: Extracting #4: cost 127 inf + 2 303.842 * * [simplify]: Extracting #5: cost 167 inf + 988 303.844 * * [simplify]: Extracting #6: cost 124 inf + 7664 303.850 * * [simplify]: Extracting #7: cost 63 inf + 22810 303.866 * * [simplify]: Extracting #8: cost 16 inf + 58499 303.887 * * [simplify]: Extracting #9: cost 0 inf + 74301 303.907 * * [simplify]: Extracting #10: cost 0 inf + 74184 303.917 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 303.917 * [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) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 303.917 * * * * [progress]: [ 335 / 675 ] simplifiying candidate # 303.917 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt 1))) 303.917 * * [simplify]: iters left: 6 (16 enodes) 303.923 * * [simplify]: iters left: 5 (65 enodes) 303.935 * * [simplify]: iters left: 4 (103 enodes) 303.961 * * [simplify]: iters left: 3 (147 enodes) 304.008 * * [simplify]: iters left: 2 (233 enodes) 304.065 * * [simplify]: iters left: 1 (408 enodes) 304.250 * * [simplify]: Extracting #0: cost 1 inf + 0 304.250 * * [simplify]: Extracting #1: cost 5 inf + 0 304.250 * * [simplify]: Extracting #2: cost 7 inf + 1 304.250 * * [simplify]: Extracting #3: cost 34 inf + 1 304.251 * * [simplify]: Extracting #4: cost 113 inf + 2 304.251 * * [simplify]: Extracting #5: cost 163 inf + 259 304.252 * * [simplify]: Extracting #6: cost 162 inf + 973 304.254 * * [simplify]: Extracting #7: cost 109 inf + 8346 304.264 * * [simplify]: Extracting #8: cost 48 inf + 29414 304.285 * * [simplify]: Extracting #9: cost 0 inf + 70905 304.307 * * [simplify]: Extracting #10: cost 0 inf + 69708 304.328 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 304.328 * [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 (sqrt k))) (sqrt (sqrt k))))) 304.329 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 304.329 * * [simplify]: iters left: 6 (15 enodes) 304.337 * * [simplify]: iters left: 5 (62 enodes) 304.356 * * [simplify]: iters left: 4 (95 enodes) 304.372 * * [simplify]: iters left: 3 (138 enodes) 304.404 * * [simplify]: iters left: 2 (223 enodes) 304.477 * * [simplify]: iters left: 1 (400 enodes) 304.660 * * [simplify]: Extracting #0: cost 1 inf + 0 304.660 * * [simplify]: Extracting #1: cost 6 inf + 0 304.660 * * [simplify]: Extracting #2: cost 12 inf + 0 304.660 * * [simplify]: Extracting #3: cost 37 inf + 164 304.661 * * [simplify]: Extracting #4: cost 112 inf + 246 304.662 * * [simplify]: Extracting #5: cost 156 inf + 1088 304.667 * * [simplify]: Extracting #6: cost 100 inf + 11792 304.679 * * [simplify]: Extracting #7: cost 34 inf + 40301 304.701 * * [simplify]: Extracting #8: cost 0 inf + 70380 304.723 * * [simplify]: Extracting #9: cost 0 inf + 69136 304.750 * * [simplify]: Extracting #10: cost 0 inf + 66634 304.769 * * [simplify]: Extracting #11: cost 0 inf + 66504 304.780 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 304.780 * [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) (sqrt (sqrt 1))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 304.781 * * * * [progress]: [ 336 / 675 ] simplifiying candidate # 304.781 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) 304.781 * * [simplify]: iters left: 6 (17 enodes) 304.786 * * [simplify]: iters left: 5 (68 enodes) 304.798 * * [simplify]: iters left: 4 (117 enodes) 304.817 * * [simplify]: iters left: 3 (174 enodes) 304.860 * * [simplify]: iters left: 2 (267 enodes) 304.910 * * [simplify]: iters left: 1 (442 enodes) 305.423 * * [simplify]: Extracting #0: cost 1 inf + 0 305.423 * * [simplify]: Extracting #1: cost 9 inf + 0 305.423 * * [simplify]: Extracting #2: cost 16 inf + 1 305.423 * * [simplify]: Extracting #3: cost 45 inf + 1 305.424 * * [simplify]: Extracting #4: cost 125 inf + 2 305.425 * * [simplify]: Extracting #5: cost 173 inf + 302 305.429 * * [simplify]: Extracting #6: cost 121 inf + 9280 305.439 * * [simplify]: Extracting #7: cost 50 inf + 27717 305.449 * * [simplify]: Extracting #8: cost 8 inf + 60776 305.464 * * [simplify]: Extracting #9: cost 0 inf + 67369 305.486 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 305.486 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 305.487 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 305.487 * * [simplify]: iters left: 6 (16 enodes) 305.495 * * [simplify]: iters left: 5 (65 enodes) 305.516 * * [simplify]: iters left: 4 (103 enodes) 305.532 * * [simplify]: iters left: 3 (144 enodes) 305.556 * * [simplify]: iters left: 2 (224 enodes) 305.615 * * [simplify]: iters left: 1 (403 enodes) 305.743 * * [simplify]: Extracting #0: cost 1 inf + 0 305.743 * * [simplify]: Extracting #1: cost 8 inf + 0 305.743 * * [simplify]: Extracting #2: cost 16 inf + 0 305.743 * * [simplify]: Extracting #3: cost 49 inf + 0 305.743 * * [simplify]: Extracting #4: cost 127 inf + 2 305.744 * * [simplify]: Extracting #5: cost 167 inf + 988 305.746 * * [simplify]: Extracting #6: cost 124 inf + 7664 305.755 * * [simplify]: Extracting #7: cost 63 inf + 22810 305.770 * * [simplify]: Extracting #8: cost 16 inf + 58499 305.791 * * [simplify]: Extracting #9: cost 0 inf + 74301 305.805 * * [simplify]: Extracting #10: cost 0 inf + 74184 305.815 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 305.815 * [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) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 305.815 * * * * [progress]: [ 337 / 675 ] simplifiying candidate # 305.816 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt 1)) 305.816 * * [simplify]: iters left: 6 (15 enodes) 305.820 * * [simplify]: iters left: 5 (62 enodes) 305.837 * * [simplify]: iters left: 4 (100 enodes) 305.868 * * [simplify]: iters left: 3 (141 enodes) 305.895 * * [simplify]: iters left: 2 (222 enodes) 305.971 * * [simplify]: iters left: 1 (403 enodes) 306.153 * * [simplify]: Extracting #0: cost 1 inf + 0 306.153 * * [simplify]: Extracting #1: cost 5 inf + 0 306.153 * * [simplify]: Extracting #2: cost 7 inf + 1 306.153 * * [simplify]: Extracting #3: cost 33 inf + 1 306.154 * * [simplify]: Extracting #4: cost 108 inf + 2 306.155 * * [simplify]: Extracting #5: cost 161 inf + 176 306.157 * * [simplify]: Extracting #6: cost 163 inf + 519 306.161 * * [simplify]: Extracting #7: cost 108 inf + 7241 306.178 * * [simplify]: Extracting #8: cost 29 inf + 41786 306.199 * * [simplify]: Extracting #9: cost 3 inf + 62846 306.222 * * [simplify]: Extracting #10: cost 0 inf + 63686 306.235 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 306.235 * [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 (sqrt k))) (sqrt (sqrt k))))) 306.235 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 306.236 * * [simplify]: iters left: 6 (15 enodes) 306.240 * * [simplify]: iters left: 5 (62 enodes) 306.253 * * [simplify]: iters left: 4 (95 enodes) 306.283 * * [simplify]: iters left: 3 (138 enodes) 306.317 * * [simplify]: iters left: 2 (223 enodes) 306.363 * * [simplify]: iters left: 1 (400 enodes) 306.550 * * [simplify]: Extracting #0: cost 1 inf + 0 306.550 * * [simplify]: Extracting #1: cost 6 inf + 0 306.550 * * [simplify]: Extracting #2: cost 12 inf + 0 306.550 * * [simplify]: Extracting #3: cost 37 inf + 164 306.550 * * [simplify]: Extracting #4: cost 112 inf + 246 306.551 * * [simplify]: Extracting #5: cost 156 inf + 1088 306.553 * * [simplify]: Extracting #6: cost 100 inf + 11792 306.559 * * [simplify]: Extracting #7: cost 34 inf + 40301 306.571 * * [simplify]: Extracting #8: cost 0 inf + 70380 306.594 * * [simplify]: Extracting #9: cost 0 inf + 69136 306.620 * * [simplify]: Extracting #10: cost 0 inf + 66634 306.636 * * [simplify]: Extracting #11: cost 0 inf + 66504 306.647 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 306.647 * [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) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 306.647 * * * * [progress]: [ 338 / 675 ] simplifiying candidate # 306.648 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (sqrt (sqrt (sqrt k)))) 306.648 * * [simplify]: iters left: 6 (17 enodes) 306.653 * * [simplify]: iters left: 5 (68 enodes) 306.670 * * [simplify]: iters left: 4 (117 enodes) 306.699 * * [simplify]: iters left: 3 (174 enodes) 306.737 * * [simplify]: iters left: 2 (267 enodes) 306.801 * * [simplify]: iters left: 1 (442 enodes) 306.978 * * [simplify]: Extracting #0: cost 1 inf + 0 306.978 * * [simplify]: Extracting #1: cost 9 inf + 0 306.978 * * [simplify]: Extracting #2: cost 16 inf + 1 306.978 * * [simplify]: Extracting #3: cost 45 inf + 1 306.979 * * [simplify]: Extracting #4: cost 125 inf + 2 306.980 * * [simplify]: Extracting #5: cost 173 inf + 302 306.984 * * [simplify]: Extracting #6: cost 121 inf + 9280 306.995 * * [simplify]: Extracting #7: cost 50 inf + 27717 307.016 * * [simplify]: Extracting #8: cost 8 inf + 60776 307.044 * * [simplify]: Extracting #9: cost 0 inf + 67369 307.069 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt (sqrt k)))) 307.069 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 307.070 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 307.070 * * [simplify]: iters left: 6 (16 enodes) 307.079 * * [simplify]: iters left: 5 (65 enodes) 307.091 * * [simplify]: iters left: 4 (103 enodes) 307.108 * * [simplify]: iters left: 3 (144 enodes) 307.143 * * [simplify]: iters left: 2 (224 enodes) 307.199 * * [simplify]: iters left: 1 (403 enodes) 307.375 * * [simplify]: Extracting #0: cost 1 inf + 0 307.375 * * [simplify]: Extracting #1: cost 8 inf + 0 307.375 * * [simplify]: Extracting #2: cost 16 inf + 0 307.375 * * [simplify]: Extracting #3: cost 49 inf + 0 307.375 * * [simplify]: Extracting #4: cost 127 inf + 2 307.376 * * [simplify]: Extracting #5: cost 167 inf + 988 307.378 * * [simplify]: Extracting #6: cost 124 inf + 7664 307.382 * * [simplify]: Extracting #7: cost 63 inf + 22810 307.390 * * [simplify]: Extracting #8: cost 16 inf + 58499 307.402 * * [simplify]: Extracting #9: cost 0 inf + 74301 307.424 * * [simplify]: Extracting #10: cost 0 inf + 74184 307.443 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 307.443 * [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) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 307.444 * * * * [progress]: [ 339 / 675 ] simplifiying candidate # 307.444 * [simplify]: Simplifying (/ (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 1) 307.444 * * [simplify]: iters left: 6 (14 enodes) 307.448 * * [simplify]: iters left: 5 (55 enodes) 307.461 * * [simplify]: iters left: 4 (96 enodes) 307.476 * * [simplify]: iters left: 3 (136 enodes) 307.498 * * [simplify]: iters left: 2 (216 enodes) 307.541 * * [simplify]: iters left: 1 (404 enodes) 307.695 * * [simplify]: Extracting #0: cost 1 inf + 0 307.695 * * [simplify]: Extracting #1: cost 5 inf + 0 307.695 * * [simplify]: Extracting #2: cost 7 inf + 1 307.695 * * [simplify]: Extracting #3: cost 35 inf + 1 307.696 * * [simplify]: Extracting #4: cost 112 inf + 2 307.697 * * [simplify]: Extracting #5: cost 170 inf + 176 307.699 * * [simplify]: Extracting #6: cost 171 inf + 478 307.704 * * [simplify]: Extracting #7: cost 95 inf + 13266 307.717 * * [simplify]: Extracting #8: cost 15 inf + 55462 307.728 * * [simplify]: Extracting #9: cost 3 inf + 64568 307.739 * * [simplify]: Extracting #10: cost 0 inf + 66013 307.750 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 307.750 * [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 (sqrt k))) (sqrt (sqrt k))))) 307.751 * [simplify]: Simplifying (/ (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 307.751 * * [simplify]: iters left: 6 (15 enodes) 307.755 * * [simplify]: iters left: 5 (62 enodes) 307.766 * * [simplify]: iters left: 4 (95 enodes) 307.783 * * [simplify]: iters left: 3 (138 enodes) 307.809 * * [simplify]: iters left: 2 (223 enodes) 307.868 * * [simplify]: iters left: 1 (400 enodes) 308.068 * * [simplify]: Extracting #0: cost 1 inf + 0 308.068 * * [simplify]: Extracting #1: cost 6 inf + 0 308.068 * * [simplify]: Extracting #2: cost 12 inf + 0 308.069 * * [simplify]: Extracting #3: cost 37 inf + 164 308.069 * * [simplify]: Extracting #4: cost 112 inf + 246 308.071 * * [simplify]: Extracting #5: cost 156 inf + 1088 308.075 * * [simplify]: Extracting #6: cost 100 inf + 11792 308.088 * * [simplify]: Extracting #7: cost 34 inf + 40301 308.110 * * [simplify]: Extracting #8: cost 0 inf + 70380 308.128 * * [simplify]: Extracting #9: cost 0 inf + 69136 308.140 * * [simplify]: Extracting #10: cost 0 inf + 66634 308.151 * * [simplify]: Extracting #11: cost 0 inf + 66504 308.163 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 308.163 * [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) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 308.163 * * * * [progress]: [ 340 / 675 ] simplifiying candidate # 308.163 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 308.163 * * [simplify]: iters left: 6 (17 enodes) 308.172 * * [simplify]: iters left: 5 (72 enodes) 308.196 * * [simplify]: iters left: 4 (119 enodes) 308.233 * * [simplify]: iters left: 3 (161 enodes) 308.282 * * [simplify]: iters left: 2 (248 enodes) 308.360 * * [simplify]: iters left: 1 (437 enodes) 308.508 * * [simplify]: Extracting #0: cost 1 inf + 0 308.508 * * [simplify]: Extracting #1: cost 10 inf + 0 308.508 * * [simplify]: Extracting #2: cost 31 inf + 0 308.508 * * [simplify]: Extracting #3: cost 72 inf + 2 308.508 * * [simplify]: Extracting #4: cost 154 inf + 7 308.509 * * [simplify]: Extracting #5: cost 181 inf + 2897 308.512 * * [simplify]: Extracting #6: cost 114 inf + 15731 308.520 * * [simplify]: Extracting #7: cost 23 inf + 59882 308.536 * * [simplify]: Extracting #8: cost 0 inf + 75607 308.549 * * [simplify]: Extracting #9: cost 0 inf + 75114 308.561 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 308.561 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 308.561 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 308.561 * * [simplify]: iters left: 6 (16 enodes) 308.568 * * [simplify]: iters left: 5 (65 enodes) 308.587 * * [simplify]: iters left: 4 (101 enodes) 308.607 * * [simplify]: iters left: 3 (139 enodes) 308.634 * * [simplify]: iters left: 2 (219 enodes) 308.715 * * [simplify]: iters left: 1 (400 enodes) 308.880 * * [simplify]: Extracting #0: cost 1 inf + 0 308.880 * * [simplify]: Extracting #1: cost 6 inf + 0 308.880 * * [simplify]: Extracting #2: cost 13 inf + 0 308.880 * * [simplify]: Extracting #3: cost 42 inf + 0 308.881 * * [simplify]: Extracting #4: cost 130 inf + 1 308.882 * * [simplify]: Extracting #5: cost 164 inf + 510 308.884 * * [simplify]: Extracting #6: cost 97 inf + 14986 308.891 * * [simplify]: Extracting #7: cost 28 inf + 41145 308.902 * * [simplify]: Extracting #8: cost 3 inf + 59622 308.914 * * [simplify]: Extracting #9: cost 0 inf + 62345 308.940 * * [simplify]: Extracting #10: cost 0 inf + 62306 308.965 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 308.965 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 308.965 * * * * [progress]: [ 341 / 675 ] simplifiying candidate # 308.965 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 308.966 * * [simplify]: iters left: 6 (20 enodes) 308.977 * * [simplify]: iters left: 5 (80 enodes) 309.003 * * [simplify]: iters left: 4 (124 enodes) 309.028 * * [simplify]: iters left: 3 (174 enodes) 309.065 * * [simplify]: iters left: 2 (256 enodes) 309.156 * * [simplify]: iters left: 1 (440 enodes) 309.348 * * [simplify]: Extracting #0: cost 1 inf + 0 309.348 * * [simplify]: Extracting #1: cost 12 inf + 0 309.349 * * [simplify]: Extracting #2: cost 27 inf + 0 309.349 * * [simplify]: Extracting #3: cost 63 inf + 0 309.350 * * [simplify]: Extracting #4: cost 157 inf + 1 309.351 * * [simplify]: Extracting #5: cost 198 inf + 427 309.355 * * [simplify]: Extracting #6: cost 126 inf + 10142 309.368 * * [simplify]: Extracting #7: cost 32 inf + 49569 309.390 * * [simplify]: Extracting #8: cost 1 inf + 73180 309.416 * * [simplify]: Extracting #9: cost 0 inf + 73767 309.429 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 309.429 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 309.429 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 309.430 * * [simplify]: iters left: 6 (18 enodes) 309.435 * * [simplify]: iters left: 5 (71 enodes) 309.447 * * [simplify]: iters left: 4 (110 enodes) 309.481 * * [simplify]: iters left: 3 (154 enodes) 309.516 * * [simplify]: iters left: 2 (235 enodes) 309.579 * * [simplify]: iters left: 1 (415 enodes) 309.752 * * [simplify]: Extracting #0: cost 1 inf + 0 309.752 * * [simplify]: Extracting #1: cost 8 inf + 0 309.752 * * [simplify]: Extracting #2: cost 18 inf + 0 309.753 * * [simplify]: Extracting #3: cost 48 inf + 0 309.753 * * [simplify]: Extracting #4: cost 134 inf + 1 309.754 * * [simplify]: Extracting #5: cost 174 inf + 509 309.758 * * [simplify]: Extracting #6: cost 109 inf + 11467 309.772 * * [simplify]: Extracting #7: cost 22 inf + 46505 309.787 * * [simplify]: Extracting #8: cost 0 inf + 64493 309.797 * * [simplify]: Extracting #9: cost 0 inf + 64414 309.807 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 309.807 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 309.807 * * * * [progress]: [ 342 / 675 ] simplifiying candidate # 309.808 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 309.808 * * [simplify]: iters left: 6 (21 enodes) 309.820 * * [simplify]: iters left: 5 (83 enodes) 309.846 * * [simplify]: iters left: 4 (127 enodes) 309.883 * * [simplify]: iters left: 3 (177 enodes) 309.916 * * [simplify]: iters left: 2 (259 enodes) 310.004 * * [simplify]: iters left: 1 (442 enodes) 310.185 * * [simplify]: Extracting #0: cost 1 inf + 0 310.186 * * [simplify]: Extracting #1: cost 12 inf + 0 310.186 * * [simplify]: Extracting #2: cost 26 inf + 0 310.186 * * [simplify]: Extracting #3: cost 64 inf + 0 310.186 * * [simplify]: Extracting #4: cost 163 inf + 1 310.187 * * [simplify]: Extracting #5: cost 190 inf + 633 310.189 * * [simplify]: Extracting #6: cost 134 inf + 9125 310.196 * * [simplify]: Extracting #7: cost 39 inf + 48741 310.206 * * [simplify]: Extracting #8: cost 2 inf + 78402 310.218 * * [simplify]: Extracting #9: cost 0 inf + 79343 310.244 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 310.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 310.245 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 310.245 * * [simplify]: iters left: 6 (19 enodes) 310.254 * * [simplify]: iters left: 5 (74 enodes) 310.277 * * [simplify]: iters left: 4 (109 enodes) 310.305 * * [simplify]: iters left: 3 (154 enodes) 310.332 * * [simplify]: iters left: 2 (252 enodes) 310.401 * * [simplify]: iters left: 1 (420 enodes) 310.556 * * [simplify]: Extracting #0: cost 1 inf + 0 310.556 * * [simplify]: Extracting #1: cost 8 inf + 0 310.557 * * [simplify]: Extracting #2: cost 18 inf + 0 310.557 * * [simplify]: Extracting #3: cost 51 inf + 0 310.558 * * [simplify]: Extracting #4: cost 142 inf + 1 310.559 * * [simplify]: Extracting #5: cost 192 inf + 511 310.563 * * [simplify]: Extracting #6: cost 117 inf + 11040 310.574 * * [simplify]: Extracting #7: cost 46 inf + 33136 310.596 * * [simplify]: Extracting #8: cost 6 inf + 64291 310.623 * * [simplify]: Extracting #9: cost 0 inf + 66078 310.652 * * [simplify]: Extracting #10: cost 0 inf + 65795 310.677 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 310.677 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 310.677 * * * * [progress]: [ 343 / 675 ] simplifiying candidate # 310.677 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 310.677 * * [simplify]: iters left: 6 (18 enodes) 310.682 * * [simplify]: iters left: 5 (73 enodes) 310.696 * * [simplify]: iters left: 4 (117 enodes) 310.731 * * [simplify]: iters left: 3 (167 enodes) 310.778 * * [simplify]: iters left: 2 (249 enodes) 310.829 * * [simplify]: iters left: 1 (428 enodes) 310.976 * * [simplify]: Extracting #0: cost 1 inf + 0 310.976 * * [simplify]: Extracting #1: cost 12 inf + 0 310.976 * * [simplify]: Extracting #2: cost 25 inf + 0 310.976 * * [simplify]: Extracting #3: cost 54 inf + 0 310.977 * * [simplify]: Extracting #4: cost 142 inf + 1 310.979 * * [simplify]: Extracting #5: cost 182 inf + 551 310.983 * * [simplify]: Extracting #6: cost 122 inf + 8102 310.990 * * [simplify]: Extracting #7: cost 41 inf + 38561 311.000 * * [simplify]: Extracting #8: cost 1 inf + 72316 311.011 * * [simplify]: Extracting #9: cost 0 inf + 71496 311.025 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 311.025 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 311.026 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 311.026 * * [simplify]: iters left: 6 (17 enodes) 311.035 * * [simplify]: iters left: 5 (68 enodes) 311.056 * * [simplify]: iters left: 4 (107 enodes) 311.072 * * [simplify]: iters left: 3 (151 enodes) 311.102 * * [simplify]: iters left: 2 (232 enodes) 311.188 * * [simplify]: iters left: 1 (413 enodes) 311.333 * * [simplify]: Extracting #0: cost 1 inf + 0 311.333 * * [simplify]: Extracting #1: cost 8 inf + 0 311.334 * * [simplify]: Extracting #2: cost 17 inf + 0 311.334 * * [simplify]: Extracting #3: cost 46 inf + 0 311.334 * * [simplify]: Extracting #4: cost 136 inf + 1 311.335 * * [simplify]: Extracting #5: cost 177 inf + 302 311.337 * * [simplify]: Extracting #6: cost 115 inf + 11295 311.348 * * [simplify]: Extracting #7: cost 12 inf + 58308 311.366 * * [simplify]: Extracting #8: cost 0 inf + 68611 311.387 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 311.387 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 311.387 * * * * [progress]: [ 344 / 675 ] simplifiying candidate # 311.388 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 311.388 * * [simplify]: iters left: 6 (19 enodes) 311.399 * * [simplify]: iters left: 5 (76 enodes) 311.422 * * [simplify]: iters left: 4 (112 enodes) 311.454 * * [simplify]: iters left: 3 (154 enodes) 311.509 * * [simplify]: iters left: 2 (258 enodes) 311.570 * * [simplify]: iters left: 1 (430 enodes) 311.746 * * [simplify]: Extracting #0: cost 1 inf + 0 311.746 * * [simplify]: Extracting #1: cost 7 inf + 0 311.746 * * [simplify]: Extracting #2: cost 13 inf + 1 311.746 * * [simplify]: Extracting #3: cost 43 inf + 1 311.747 * * [simplify]: Extracting #4: cost 130 inf + 2 311.748 * * [simplify]: Extracting #5: cost 181 inf + 261 311.751 * * [simplify]: Extracting #6: cost 153 inf + 3097 311.756 * * [simplify]: Extracting #7: cost 86 inf + 12488 311.769 * * [simplify]: Extracting #8: cost 24 inf + 46888 311.790 * * [simplify]: Extracting #9: cost 0 inf + 67214 311.816 * * [simplify]: Extracting #10: cost 0 inf + 66689 311.837 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 311.838 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 311.838 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 311.838 * * [simplify]: iters left: 6 (16 enodes) 311.847 * * [simplify]: iters left: 5 (65 enodes) 311.868 * * [simplify]: iters left: 4 (104 enodes) 311.899 * * [simplify]: iters left: 3 (144 enodes) 311.940 * * [simplify]: iters left: 2 (224 enodes) 311.985 * * [simplify]: iters left: 1 (402 enodes) 312.152 * * [simplify]: Extracting #0: cost 1 inf + 0 312.152 * * [simplify]: Extracting #1: cost 8 inf + 0 312.152 * * [simplify]: Extracting #2: cost 17 inf + 0 312.152 * * [simplify]: Extracting #3: cost 51 inf + 0 312.152 * * [simplify]: Extracting #4: cost 140 inf + 2 312.153 * * [simplify]: Extracting #5: cost 160 inf + 2038 312.157 * * [simplify]: Extracting #6: cost 103 inf + 12613 312.170 * * [simplify]: Extracting #7: cost 32 inf + 48138 312.192 * * [simplify]: Extracting #8: cost 2 inf + 74180 312.216 * * [simplify]: Extracting #9: cost 0 inf + 75531 312.240 * * [simplify]: Extracting #10: cost 0 inf + 73385 312.264 * * [simplify]: Extracting #11: cost 0 inf + 73214 312.291 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 312.291 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 312.292 * * * * [progress]: [ 345 / 675 ] simplifiying candidate # 312.292 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 312.292 * * [simplify]: iters left: 6 (18 enodes) 312.298 * * [simplify]: iters left: 5 (73 enodes) 312.310 * * [simplify]: iters left: 4 (117 enodes) 312.329 * * [simplify]: iters left: 3 (167 enodes) 312.370 * * [simplify]: iters left: 2 (249 enodes) 312.455 * * [simplify]: iters left: 1 (428 enodes) 312.642 * * [simplify]: Extracting #0: cost 1 inf + 0 312.642 * * [simplify]: Extracting #1: cost 12 inf + 0 312.642 * * [simplify]: Extracting #2: cost 25 inf + 0 312.643 * * [simplify]: Extracting #3: cost 54 inf + 0 312.643 * * [simplify]: Extracting #4: cost 142 inf + 1 312.645 * * [simplify]: Extracting #5: cost 182 inf + 551 312.648 * * [simplify]: Extracting #6: cost 122 inf + 8102 312.658 * * [simplify]: Extracting #7: cost 41 inf + 38561 312.675 * * [simplify]: Extracting #8: cost 1 inf + 72316 312.695 * * [simplify]: Extracting #9: cost 0 inf + 71496 312.715 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 312.716 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 312.716 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 312.716 * * [simplify]: iters left: 6 (17 enodes) 312.723 * * [simplify]: iters left: 5 (68 enodes) 312.735 * * [simplify]: iters left: 4 (107 enodes) 312.753 * * [simplify]: iters left: 3 (151 enodes) 312.785 * * [simplify]: iters left: 2 (232 enodes) 312.843 * * [simplify]: iters left: 1 (413 enodes) 312.969 * * [simplify]: Extracting #0: cost 1 inf + 0 312.969 * * [simplify]: Extracting #1: cost 8 inf + 0 312.969 * * [simplify]: Extracting #2: cost 17 inf + 0 312.969 * * [simplify]: Extracting #3: cost 46 inf + 0 312.970 * * [simplify]: Extracting #4: cost 136 inf + 1 312.971 * * [simplify]: Extracting #5: cost 177 inf + 302 312.976 * * [simplify]: Extracting #6: cost 115 inf + 11295 312.990 * * [simplify]: Extracting #7: cost 12 inf + 58308 313.010 * * [simplify]: Extracting #8: cost 0 inf + 68611 313.030 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 313.030 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 313.031 * * * * [progress]: [ 346 / 675 ] simplifiying candidate # 313.031 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 313.031 * * [simplify]: iters left: 6 (18 enodes) 313.043 * * [simplify]: iters left: 5 (73 enodes) 313.067 * * [simplify]: iters left: 4 (113 enodes) 313.100 * * [simplify]: iters left: 3 (153 enodes) 313.155 * * [simplify]: iters left: 2 (241 enodes) 313.215 * * [simplify]: iters left: 1 (415 enodes) 313.350 * * [simplify]: Extracting #0: cost 1 inf + 0 313.350 * * [simplify]: Extracting #1: cost 7 inf + 0 313.350 * * [simplify]: Extracting #2: cost 13 inf + 1 313.350 * * [simplify]: Extracting #3: cost 45 inf + 1 313.351 * * [simplify]: Extracting #4: cost 134 inf + 2 313.353 * * [simplify]: Extracting #5: cost 178 inf + 302 313.359 * * [simplify]: Extracting #6: cost 100 inf + 17735 313.386 * * [simplify]: Extracting #7: cost 13 inf + 50502 313.424 * * [simplify]: Extracting #8: cost 0 inf + 60795 313.458 * * [simplify]: Extracting #9: cost 0 inf + 60555 313.477 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 313.478 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 313.478 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 313.478 * * [simplify]: iters left: 6 (16 enodes) 313.482 * * [simplify]: iters left: 5 (65 enodes) 313.501 * * [simplify]: iters left: 4 (104 enodes) 313.532 * * [simplify]: iters left: 3 (144 enodes) 313.558 * * [simplify]: iters left: 2 (224 enodes) 313.619 * * [simplify]: iters left: 1 (402 enodes) 313.756 * * [simplify]: Extracting #0: cost 1 inf + 0 313.756 * * [simplify]: Extracting #1: cost 8 inf + 0 313.757 * * [simplify]: Extracting #2: cost 17 inf + 0 313.757 * * [simplify]: Extracting #3: cost 51 inf + 0 313.758 * * [simplify]: Extracting #4: cost 140 inf + 2 313.759 * * [simplify]: Extracting #5: cost 160 inf + 2038 313.764 * * [simplify]: Extracting #6: cost 103 inf + 12613 313.777 * * [simplify]: Extracting #7: cost 32 inf + 48138 313.798 * * [simplify]: Extracting #8: cost 2 inf + 74180 313.810 * * [simplify]: Extracting #9: cost 0 inf + 75531 313.822 * * [simplify]: Extracting #10: cost 0 inf + 73385 313.846 * * [simplify]: Extracting #11: cost 0 inf + 73214 313.868 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 313.868 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 313.868 * * * * [progress]: [ 347 / 675 ] simplifiying candidate # 313.868 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 313.868 * * [simplify]: iters left: 6 (18 enodes) 313.873 * * [simplify]: iters left: 5 (73 enodes) 313.885 * * [simplify]: iters left: 4 (117 enodes) 313.920 * * [simplify]: iters left: 3 (167 enodes) 313.959 * * [simplify]: iters left: 2 (249 enodes) 314.111 * * [simplify]: iters left: 1 (428 enodes) 314.335 * * [simplify]: Extracting #0: cost 1 inf + 0 314.335 * * [simplify]: Extracting #1: cost 12 inf + 0 314.335 * * [simplify]: Extracting #2: cost 25 inf + 0 314.335 * * [simplify]: Extracting #3: cost 54 inf + 0 314.336 * * [simplify]: Extracting #4: cost 142 inf + 1 314.338 * * [simplify]: Extracting #5: cost 182 inf + 551 314.342 * * [simplify]: Extracting #6: cost 122 inf + 8102 314.353 * * [simplify]: Extracting #7: cost 41 inf + 38561 314.374 * * [simplify]: Extracting #8: cost 1 inf + 72316 314.396 * * [simplify]: Extracting #9: cost 0 inf + 71496 314.417 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 314.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 314.418 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 314.418 * * [simplify]: iters left: 6 (17 enodes) 314.431 * * [simplify]: iters left: 5 (68 enodes) 314.454 * * [simplify]: iters left: 4 (107 enodes) 314.473 * * [simplify]: iters left: 3 (151 enodes) 314.509 * * [simplify]: iters left: 2 (232 enodes) 314.594 * * [simplify]: iters left: 1 (413 enodes) 314.732 * * [simplify]: Extracting #0: cost 1 inf + 0 314.732 * * [simplify]: Extracting #1: cost 8 inf + 0 314.732 * * [simplify]: Extracting #2: cost 17 inf + 0 314.732 * * [simplify]: Extracting #3: cost 46 inf + 0 314.732 * * [simplify]: Extracting #4: cost 136 inf + 1 314.733 * * [simplify]: Extracting #5: cost 177 inf + 302 314.735 * * [simplify]: Extracting #6: cost 115 inf + 11295 314.743 * * [simplify]: Extracting #7: cost 12 inf + 58308 314.763 * * [simplify]: Extracting #8: cost 0 inf + 68611 314.783 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 314.783 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 314.783 * * * * [progress]: [ 348 / 675 ] simplifiying candidate # 314.783 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 314.784 * * [simplify]: iters left: 6 (17 enodes) 314.792 * * [simplify]: iters left: 5 (68 enodes) 314.815 * * [simplify]: iters left: 4 (110 enodes) 314.848 * * [simplify]: iters left: 3 (161 enodes) 314.878 * * [simplify]: iters left: 2 (243 enodes) 314.938 * * [simplify]: iters left: 1 (418 enodes) 315.122 * * [simplify]: Extracting #0: cost 1 inf + 0 315.122 * * [simplify]: Extracting #1: cost 7 inf + 0 315.122 * * [simplify]: Extracting #2: cost 13 inf + 1 315.122 * * [simplify]: Extracting #3: cost 45 inf + 1 315.123 * * [simplify]: Extracting #4: cost 140 inf + 2 315.123 * * [simplify]: Extracting #5: cost 183 inf + 304 315.126 * * [simplify]: Extracting #6: cost 110 inf + 13384 315.133 * * [simplify]: Extracting #7: cost 25 inf + 52266 315.146 * * [simplify]: Extracting #8: cost 0 inf + 73757 315.172 * * [simplify]: Extracting #9: cost 0 inf + 73295 315.194 * * [simplify]: Extracting #10: cost 0 inf + 72953 315.216 * * [simplify]: Extracting #11: cost 0 inf + 72109 315.232 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 315.232 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 315.232 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 315.232 * * [simplify]: iters left: 6 (16 enodes) 315.237 * * [simplify]: iters left: 5 (65 enodes) 315.248 * * [simplify]: iters left: 4 (104 enodes) 315.272 * * [simplify]: iters left: 3 (144 enodes) 315.320 * * [simplify]: iters left: 2 (224 enodes) 315.401 * * [simplify]: iters left: 1 (402 enodes) 315.581 * * [simplify]: Extracting #0: cost 1 inf + 0 315.581 * * [simplify]: Extracting #1: cost 8 inf + 0 315.581 * * [simplify]: Extracting #2: cost 17 inf + 0 315.581 * * [simplify]: Extracting #3: cost 51 inf + 0 315.581 * * [simplify]: Extracting #4: cost 140 inf + 2 315.582 * * [simplify]: Extracting #5: cost 160 inf + 2038 315.584 * * [simplify]: Extracting #6: cost 103 inf + 12613 315.593 * * [simplify]: Extracting #7: cost 32 inf + 48138 315.614 * * [simplify]: Extracting #8: cost 2 inf + 74180 315.641 * * [simplify]: Extracting #9: cost 0 inf + 75531 315.664 * * [simplify]: Extracting #10: cost 0 inf + 73385 315.687 * * [simplify]: Extracting #11: cost 0 inf + 73214 315.711 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 315.711 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 315.711 * * * * [progress]: [ 349 / 675 ] simplifiying candidate # 315.711 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 315.712 * * [simplify]: iters left: 6 (20 enodes) 315.722 * * [simplify]: iters left: 5 (80 enodes) 315.748 * * [simplify]: iters left: 4 (124 enodes) 315.785 * * [simplify]: iters left: 3 (171 enodes) 315.841 * * [simplify]: iters left: 2 (254 enodes) 315.935 * * [simplify]: iters left: 1 (434 enodes) 316.076 * * [simplify]: Extracting #0: cost 1 inf + 0 316.076 * * [simplify]: Extracting #1: cost 10 inf + 0 316.076 * * [simplify]: Extracting #2: cost 25 inf + 0 316.076 * * [simplify]: Extracting #3: cost 64 inf + 0 316.077 * * [simplify]: Extracting #4: cost 163 inf + 1 316.077 * * [simplify]: Extracting #5: cost 195 inf + 303 316.079 * * [simplify]: Extracting #6: cost 139 inf + 7226 316.087 * * [simplify]: Extracting #7: cost 62 inf + 34595 316.097 * * [simplify]: Extracting #8: cost 4 inf + 79265 316.112 * * [simplify]: Extracting #9: cost 0 inf + 81986 316.135 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 316.135 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 316.135 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 316.135 * * [simplify]: iters left: 6 (18 enodes) 316.145 * * [simplify]: iters left: 5 (71 enodes) 316.168 * * [simplify]: iters left: 4 (110 enodes) 316.200 * * [simplify]: iters left: 3 (154 enodes) 316.227 * * [simplify]: iters left: 2 (235 enodes) 316.313 * * [simplify]: iters left: 1 (415 enodes) 316.521 * * [simplify]: Extracting #0: cost 1 inf + 0 316.521 * * [simplify]: Extracting #1: cost 8 inf + 0 316.521 * * [simplify]: Extracting #2: cost 18 inf + 0 316.521 * * [simplify]: Extracting #3: cost 48 inf + 0 316.522 * * [simplify]: Extracting #4: cost 134 inf + 1 316.523 * * [simplify]: Extracting #5: cost 174 inf + 509 316.528 * * [simplify]: Extracting #6: cost 109 inf + 11507 316.542 * * [simplify]: Extracting #7: cost 22 inf + 46505 316.567 * * [simplify]: Extracting #8: cost 0 inf + 64493 316.587 * * [simplify]: Extracting #9: cost 0 inf + 64414 316.608 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 316.608 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 316.608 * * * * [progress]: [ 350 / 675 ] simplifiying candidate # 316.609 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 316.609 * * [simplify]: iters left: 6 (17 enodes) 316.618 * * [simplify]: iters left: 5 (69 enodes) 316.642 * * [simplify]: iters left: 4 (103 enodes) 316.658 * * [simplify]: iters left: 3 (145 enodes) 316.697 * * [simplify]: iters left: 2 (230 enodes) 316.749 * * [simplify]: iters left: 1 (414 enodes) 316.909 * * [simplify]: Extracting #0: cost 1 inf + 0 316.909 * * [simplify]: Extracting #1: cost 6 inf + 0 316.909 * * [simplify]: Extracting #2: cost 13 inf + 0 316.909 * * [simplify]: Extracting #3: cost 46 inf + 0 316.910 * * [simplify]: Extracting #4: cost 142 inf + 1 316.911 * * [simplify]: Extracting #5: cost 181 inf + 345 316.915 * * [simplify]: Extracting #6: cost 122 inf + 10380 316.929 * * [simplify]: Extracting #7: cost 29 inf + 53933 316.952 * * [simplify]: Extracting #8: cost 1 inf + 76872 316.980 * * [simplify]: Extracting #9: cost 0 inf + 75190 317.002 * * [simplify]: Extracting #10: cost 0 inf + 74384 317.026 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 317.026 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 317.027 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 317.027 * * [simplify]: iters left: 6 (16 enodes) 317.035 * * [simplify]: iters left: 5 (65 enodes) 317.056 * * [simplify]: iters left: 4 (99 enodes) 317.086 * * [simplify]: iters left: 3 (138 enodes) 317.118 * * [simplify]: iters left: 2 (218 enodes) 317.177 * * [simplify]: iters left: 1 (399 enodes) 317.306 * * [simplify]: Extracting #0: cost 1 inf + 0 317.306 * * [simplify]: Extracting #1: cost 6 inf + 0 317.306 * * [simplify]: Extracting #2: cost 13 inf + 0 317.306 * * [simplify]: Extracting #3: cost 46 inf + 0 317.307 * * [simplify]: Extracting #4: cost 132 inf + 43 317.307 * * [simplify]: Extracting #5: cost 173 inf + 709 317.309 * * [simplify]: Extracting #6: cost 124 inf + 6324 317.316 * * [simplify]: Extracting #7: cost 41 inf + 37070 317.336 * * [simplify]: Extracting #8: cost 0 inf + 67303 317.348 * * [simplify]: Extracting #9: cost 0 inf + 66720 317.358 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 317.359 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 317.359 * * * * [progress]: [ 351 / 675 ] simplifiying candidate # 317.359 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 317.359 * * [simplify]: iters left: 6 (21 enodes) 317.368 * * [simplify]: iters left: 5 (82 enodes) 317.385 * * [simplify]: iters left: 4 (121 enodes) 317.404 * * [simplify]: iters left: 3 (161 enodes) 317.440 * * [simplify]: iters left: 2 (241 enodes) 317.500 * * [simplify]: iters left: 1 (426 enodes) 317.678 * * [simplify]: Extracting #0: cost 1 inf + 0 317.678 * * [simplify]: Extracting #1: cost 8 inf + 0 317.678 * * [simplify]: Extracting #2: cost 19 inf + 0 317.678 * * [simplify]: Extracting #3: cost 57 inf + 0 317.678 * * [simplify]: Extracting #4: cost 155 inf + 1 317.679 * * [simplify]: Extracting #5: cost 188 inf + 344 317.681 * * [simplify]: Extracting #6: cost 111 inf + 13806 317.691 * * [simplify]: Extracting #7: cost 25 inf + 54206 317.713 * * [simplify]: Extracting #8: cost 0 inf + 74936 317.734 * * [simplify]: Extracting #9: cost 0 inf + 74394 317.747 * * [simplify]: Extracting #10: cost 0 inf + 73975 317.761 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 317.761 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 317.761 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 317.762 * * [simplify]: iters left: 6 (19 enodes) 317.767 * * [simplify]: iters left: 5 (74 enodes) 317.787 * * [simplify]: iters left: 4 (109 enodes) 317.821 * * [simplify]: iters left: 3 (154 enodes) 317.863 * * [simplify]: iters left: 2 (252 enodes) 317.909 * * [simplify]: iters left: 1 (420 enodes) 318.117 * * [simplify]: Extracting #0: cost 1 inf + 0 318.117 * * [simplify]: Extracting #1: cost 8 inf + 0 318.117 * * [simplify]: Extracting #2: cost 18 inf + 0 318.117 * * [simplify]: Extracting #3: cost 51 inf + 0 318.117 * * [simplify]: Extracting #4: cost 142 inf + 1 318.118 * * [simplify]: Extracting #5: cost 192 inf + 511 318.120 * * [simplify]: Extracting #6: cost 117 inf + 11120 318.125 * * [simplify]: Extracting #7: cost 46 inf + 33216 318.136 * * [simplify]: Extracting #8: cost 6 inf + 64371 318.157 * * [simplify]: Extracting #9: cost 0 inf + 66158 318.178 * * [simplify]: Extracting #10: cost 0 inf + 65875 318.193 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 318.193 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 318.193 * * * * [progress]: [ 352 / 675 ] simplifiying candidate # 318.193 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 318.193 * * [simplify]: iters left: 6 (19 enodes) 318.202 * * [simplify]: iters left: 5 (75 enodes) 318.214 * * [simplify]: iters left: 4 (110 enodes) 318.246 * * [simplify]: iters left: 3 (152 enodes) 318.288 * * [simplify]: iters left: 2 (248 enodes) 318.340 * * [simplify]: iters left: 1 (422 enodes) 318.503 * * [simplify]: Extracting #0: cost 1 inf + 0 318.503 * * [simplify]: Extracting #1: cost 8 inf + 0 318.503 * * [simplify]: Extracting #2: cost 19 inf + 0 318.503 * * [simplify]: Extracting #3: cost 56 inf + 0 318.504 * * [simplify]: Extracting #4: cost 150 inf + 1 318.504 * * [simplify]: Extracting #5: cost 196 inf + 303 318.506 * * [simplify]: Extracting #6: cost 145 inf + 7217 318.511 * * [simplify]: Extracting #7: cost 60 inf + 26713 318.530 * * [simplify]: Extracting #8: cost 8 inf + 69472 318.553 * * [simplify]: Extracting #9: cost 0 inf + 74611 318.577 * * [simplify]: Extracting #10: cost 0 inf + 74235 318.601 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 318.601 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 318.601 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 318.601 * * [simplify]: iters left: 6 (18 enodes) 318.611 * * [simplify]: iters left: 5 (71 enodes) 318.630 * * [simplify]: iters left: 4 (110 enodes) 318.647 * * [simplify]: iters left: 3 (154 enodes) 318.694 * * [simplify]: iters left: 2 (235 enodes) 318.755 * * [simplify]: iters left: 1 (415 enodes) 318.968 * * [simplify]: Extracting #0: cost 1 inf + 0 318.996 * * [simplify]: Extracting #1: cost 8 inf + 0 318.996 * * [simplify]: Extracting #2: cost 18 inf + 0 318.996 * * [simplify]: Extracting #3: cost 48 inf + 0 318.997 * * [simplify]: Extracting #4: cost 134 inf + 1 318.998 * * [simplify]: Extracting #5: cost 174 inf + 509 319.003 * * [simplify]: Extracting #6: cost 109 inf + 11427 319.017 * * [simplify]: Extracting #7: cost 22 inf + 46265 319.037 * * [simplify]: Extracting #8: cost 0 inf + 64173 319.058 * * [simplify]: Extracting #9: cost 0 inf + 64094 319.078 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 319.078 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 319.078 * * * * [progress]: [ 353 / 675 ] simplifiying candidate # 319.079 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 319.079 * * [simplify]: iters left: 6 (19 enodes) 319.091 * * [simplify]: iters left: 5 (75 enodes) 319.114 * * [simplify]: iters left: 4 (107 enodes) 319.148 * * [simplify]: iters left: 3 (152 enodes) 319.198 * * [simplify]: iters left: 2 (249 enodes) 319.276 * * [simplify]: iters left: 1 (422 enodes) 319.445 * * [simplify]: Extracting #0: cost 1 inf + 0 319.445 * * [simplify]: Extracting #1: cost 5 inf + 0 319.446 * * [simplify]: Extracting #2: cost 10 inf + 1 319.446 * * [simplify]: Extracting #3: cost 47 inf + 1 319.446 * * [simplify]: Extracting #4: cost 136 inf + 2 319.448 * * [simplify]: Extracting #5: cost 180 inf + 343 319.454 * * [simplify]: Extracting #6: cost 99 inf + 23603 319.479 * * [simplify]: Extracting #7: cost 11 inf + 63393 319.503 * * [simplify]: Extracting #8: cost 0 inf + 69114 319.526 * * [simplify]: Extracting #9: cost 0 inf + 65938 319.550 * * [simplify]: Extracting #10: cost 0 inf + 65600 319.571 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 319.572 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 319.572 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 319.572 * * [simplify]: iters left: 6 (17 enodes) 319.577 * * [simplify]: iters left: 5 (68 enodes) 319.589 * * [simplify]: iters left: 4 (107 enodes) 319.614 * * [simplify]: iters left: 3 (151 enodes) 319.647 * * [simplify]: iters left: 2 (232 enodes) 319.707 * * [simplify]: iters left: 1 (413 enodes) 319.836 * * [simplify]: Extracting #0: cost 1 inf + 0 319.836 * * [simplify]: Extracting #1: cost 8 inf + 0 319.837 * * [simplify]: Extracting #2: cost 18 inf + 0 319.837 * * [simplify]: Extracting #3: cost 48 inf + 0 319.837 * * [simplify]: Extracting #4: cost 135 inf + 2 319.838 * * [simplify]: Extracting #5: cost 168 inf + 1075 319.842 * * [simplify]: Extracting #6: cost 106 inf + 12435 319.857 * * [simplify]: Extracting #7: cost 13 inf + 57082 319.882 * * [simplify]: Extracting #8: cost 0 inf + 67299 319.903 * * [simplify]: Extracting #9: cost 0 inf + 67139 319.923 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 319.923 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 319.923 * * * * [progress]: [ 354 / 675 ] simplifiying candidate # 319.924 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 319.924 * * [simplify]: iters left: 6 (19 enodes) 319.932 * * [simplify]: iters left: 5 (75 enodes) 319.945 * * [simplify]: iters left: 4 (110 enodes) 319.962 * * [simplify]: iters left: 3 (152 enodes) 320.006 * * [simplify]: iters left: 2 (248 enodes) 320.059 * * [simplify]: iters left: 1 (422 enodes) 320.207 * * [simplify]: Extracting #0: cost 1 inf + 0 320.207 * * [simplify]: Extracting #1: cost 8 inf + 0 320.207 * * [simplify]: Extracting #2: cost 19 inf + 0 320.207 * * [simplify]: Extracting #3: cost 56 inf + 0 320.208 * * [simplify]: Extracting #4: cost 150 inf + 1 320.209 * * [simplify]: Extracting #5: cost 196 inf + 303 320.210 * * [simplify]: Extracting #6: cost 145 inf + 7217 320.215 * * [simplify]: Extracting #7: cost 60 inf + 26713 320.225 * * [simplify]: Extracting #8: cost 8 inf + 69472 320.248 * * [simplify]: Extracting #9: cost 0 inf + 74611 320.259 * * [simplify]: Extracting #10: cost 0 inf + 74235 320.281 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 320.281 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 320.281 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 320.281 * * [simplify]: iters left: 6 (18 enodes) 320.289 * * [simplify]: iters left: 5 (71 enodes) 320.301 * * [simplify]: iters left: 4 (110 enodes) 320.318 * * [simplify]: iters left: 3 (154 enodes) 320.360 * * [simplify]: iters left: 2 (235 enodes) 320.413 * * [simplify]: iters left: 1 (415 enodes) 320.560 * * [simplify]: Extracting #0: cost 1 inf + 0 320.560 * * [simplify]: Extracting #1: cost 8 inf + 0 320.560 * * [simplify]: Extracting #2: cost 18 inf + 0 320.560 * * [simplify]: Extracting #3: cost 48 inf + 0 320.560 * * [simplify]: Extracting #4: cost 134 inf + 1 320.561 * * [simplify]: Extracting #5: cost 174 inf + 509 320.564 * * [simplify]: Extracting #6: cost 109 inf + 11427 320.572 * * [simplify]: Extracting #7: cost 22 inf + 46265 320.582 * * [simplify]: Extracting #8: cost 0 inf + 64173 320.592 * * [simplify]: Extracting #9: cost 0 inf + 64094 320.605 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 320.605 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 320.605 * * * * [progress]: [ 355 / 675 ] simplifiying candidate # 320.606 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 320.606 * * [simplify]: iters left: 6 (18 enodes) 320.611 * * [simplify]: iters left: 5 (72 enodes) 320.625 * * [simplify]: iters left: 4 (104 enodes) 320.642 * * [simplify]: iters left: 3 (152 enodes) 320.680 * * [simplify]: iters left: 2 (251 enodes) 320.742 * * [simplify]: iters left: 1 (432 enodes) 320.901 * * [simplify]: Extracting #0: cost 1 inf + 0 320.901 * * [simplify]: Extracting #1: cost 5 inf + 0 320.901 * * [simplify]: Extracting #2: cost 10 inf + 1 320.901 * * [simplify]: Extracting #3: cost 42 inf + 1 320.902 * * [simplify]: Extracting #4: cost 129 inf + 2 320.902 * * [simplify]: Extracting #5: cost 183 inf + 304 320.904 * * [simplify]: Extracting #6: cost 130 inf + 8927 320.909 * * [simplify]: Extracting #7: cost 45 inf + 30005 320.920 * * [simplify]: Extracting #8: cost 6 inf + 58677 320.943 * * [simplify]: Extracting #9: cost 0 inf + 63144 320.966 * * [simplify]: Extracting #10: cost 0 inf + 62733 320.988 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 320.989 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 320.989 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 320.989 * * [simplify]: iters left: 6 (17 enodes) 321.002 * * [simplify]: iters left: 5 (68 enodes) 321.024 * * [simplify]: iters left: 4 (107 enodes) 321.057 * * [simplify]: iters left: 3 (151 enodes) 321.088 * * [simplify]: iters left: 2 (232 enodes) 321.134 * * [simplify]: iters left: 1 (413 enodes) 321.282 * * [simplify]: Extracting #0: cost 1 inf + 0 321.282 * * [simplify]: Extracting #1: cost 8 inf + 0 321.282 * * [simplify]: Extracting #2: cost 18 inf + 0 321.282 * * [simplify]: Extracting #3: cost 48 inf + 0 321.282 * * [simplify]: Extracting #4: cost 135 inf + 2 321.283 * * [simplify]: Extracting #5: cost 168 inf + 1075 321.285 * * [simplify]: Extracting #6: cost 106 inf + 12435 321.301 * * [simplify]: Extracting #7: cost 13 inf + 57082 321.321 * * [simplify]: Extracting #8: cost 0 inf + 67299 321.342 * * [simplify]: Extracting #9: cost 0 inf + 67139 321.362 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 321.362 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 321.362 * * * * [progress]: [ 356 / 675 ] simplifiying candidate # 321.362 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 321.363 * * [simplify]: iters left: 6 (19 enodes) 321.372 * * [simplify]: iters left: 5 (75 enodes) 321.393 * * [simplify]: iters left: 4 (110 enodes) 321.412 * * [simplify]: iters left: 3 (152 enodes) 321.458 * * [simplify]: iters left: 2 (248 enodes) 321.547 * * [simplify]: iters left: 1 (422 enodes) 321.715 * * [simplify]: Extracting #0: cost 1 inf + 0 321.715 * * [simplify]: Extracting #1: cost 8 inf + 0 321.715 * * [simplify]: Extracting #2: cost 19 inf + 0 321.715 * * [simplify]: Extracting #3: cost 56 inf + 0 321.716 * * [simplify]: Extracting #4: cost 150 inf + 1 321.718 * * [simplify]: Extracting #5: cost 196 inf + 303 321.721 * * [simplify]: Extracting #6: cost 145 inf + 7217 321.733 * * [simplify]: Extracting #7: cost 60 inf + 26713 321.742 * * [simplify]: Extracting #8: cost 8 inf + 69472 321.755 * * [simplify]: Extracting #9: cost 0 inf + 74611 321.779 * * [simplify]: Extracting #10: cost 0 inf + 74235 321.802 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 321.802 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 321.802 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 321.802 * * [simplify]: iters left: 6 (18 enodes) 321.812 * * [simplify]: iters left: 5 (71 enodes) 321.834 * * [simplify]: iters left: 4 (110 enodes) 321.853 * * [simplify]: iters left: 3 (154 enodes) 321.878 * * [simplify]: iters left: 2 (235 enodes) 321.944 * * [simplify]: iters left: 1 (415 enodes) 322.127 * * [simplify]: Extracting #0: cost 1 inf + 0 322.127 * * [simplify]: Extracting #1: cost 8 inf + 0 322.127 * * [simplify]: Extracting #2: cost 18 inf + 0 322.127 * * [simplify]: Extracting #3: cost 48 inf + 0 322.127 * * [simplify]: Extracting #4: cost 134 inf + 1 322.128 * * [simplify]: Extracting #5: cost 174 inf + 509 322.130 * * [simplify]: Extracting #6: cost 109 inf + 11427 322.145 * * [simplify]: Extracting #7: cost 22 inf + 46265 322.165 * * [simplify]: Extracting #8: cost 0 inf + 64173 322.185 * * [simplify]: Extracting #9: cost 0 inf + 64094 322.205 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 322.205 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 322.205 * * * * [progress]: [ 357 / 675 ] simplifiying candidate # 322.206 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 322.206 * * [simplify]: iters left: 6 (17 enodes) 322.215 * * [simplify]: iters left: 5 (67 enodes) 322.233 * * [simplify]: iters left: 4 (104 enodes) 322.250 * * [simplify]: iters left: 3 (151 enodes) 322.276 * * [simplify]: iters left: 2 (233 enodes) 322.325 * * [simplify]: iters left: 1 (417 enodes) 322.517 * * [simplify]: Extracting #0: cost 1 inf + 0 322.517 * * [simplify]: Extracting #1: cost 5 inf + 0 322.517 * * [simplify]: Extracting #2: cost 10 inf + 1 322.517 * * [simplify]: Extracting #3: cost 45 inf + 1 322.518 * * [simplify]: Extracting #4: cost 142 inf + 2 322.518 * * [simplify]: Extracting #5: cost 183 inf + 384 322.520 * * [simplify]: Extracting #6: cost 120 inf + 8449 322.526 * * [simplify]: Extracting #7: cost 41 inf + 37625 322.546 * * [simplify]: Extracting #8: cost 0 inf + 72111 322.567 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 322.567 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 322.567 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 322.567 * * [simplify]: iters left: 6 (17 enodes) 322.576 * * [simplify]: iters left: 5 (68 enodes) 322.589 * * [simplify]: iters left: 4 (107 enodes) 322.606 * * [simplify]: iters left: 3 (151 enodes) 322.655 * * [simplify]: iters left: 2 (232 enodes) 322.744 * * [simplify]: iters left: 1 (413 enodes) 322.922 * * [simplify]: Extracting #0: cost 1 inf + 0 322.922 * * [simplify]: Extracting #1: cost 8 inf + 0 322.922 * * [simplify]: Extracting #2: cost 18 inf + 0 322.922 * * [simplify]: Extracting #3: cost 48 inf + 0 322.923 * * [simplify]: Extracting #4: cost 135 inf + 2 322.923 * * [simplify]: Extracting #5: cost 168 inf + 1075 322.926 * * [simplify]: Extracting #6: cost 106 inf + 12435 322.933 * * [simplify]: Extracting #7: cost 13 inf + 57082 322.944 * * [simplify]: Extracting #8: cost 0 inf + 67299 322.961 * * [simplify]: Extracting #9: cost 0 inf + 67139 322.982 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 322.982 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 322.982 * * * * [progress]: [ 358 / 675 ] simplifiying candidate # 322.983 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 322.983 * * [simplify]: iters left: 6 (21 enodes) 322.992 * * [simplify]: iters left: 5 (83 enodes) 323.009 * * [simplify]: iters left: 4 (127 enodes) 323.037 * * [simplify]: iters left: 3 (175 enodes) 323.084 * * [simplify]: iters left: 2 (258 enodes) 323.139 * * [simplify]: iters left: 1 (438 enodes) 323.292 * * [simplify]: Extracting #0: cost 1 inf + 0 323.292 * * [simplify]: Extracting #1: cost 10 inf + 0 323.292 * * [simplify]: Extracting #2: cost 24 inf + 0 323.293 * * [simplify]: Extracting #3: cost 63 inf + 0 323.293 * * [simplify]: Extracting #4: cost 158 inf + 1 323.294 * * [simplify]: Extracting #5: cost 190 inf + 508 323.296 * * [simplify]: Extracting #6: cost 121 inf + 9790 323.303 * * [simplify]: Extracting #7: cost 32 inf + 48354 323.316 * * [simplify]: Extracting #8: cost 1 inf + 70158 323.335 * * [simplify]: Extracting #9: cost 0 inf + 70067 323.347 * * [simplify]: Extracting #10: cost 0 inf + 70066 323.361 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (* (sqrt (fabs (cbrt k))) (cbrt (sqrt (sqrt k)))))) 323.361 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (* (sqrt (fabs (cbrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 323.361 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 323.362 * * [simplify]: iters left: 6 (19 enodes) 323.371 * * [simplify]: iters left: 5 (74 enodes) 323.388 * * [simplify]: iters left: 4 (109 enodes) 323.405 * * [simplify]: iters left: 3 (154 enodes) 323.433 * * [simplify]: iters left: 2 (252 enodes) 323.500 * * [simplify]: iters left: 1 (420 enodes) 323.668 * * [simplify]: Extracting #0: cost 1 inf + 0 323.668 * * [simplify]: Extracting #1: cost 8 inf + 0 323.668 * * [simplify]: Extracting #2: cost 18 inf + 0 323.668 * * [simplify]: Extracting #3: cost 51 inf + 0 323.669 * * [simplify]: Extracting #4: cost 142 inf + 1 323.669 * * [simplify]: Extracting #5: cost 192 inf + 511 323.671 * * [simplify]: Extracting #6: cost 117 inf + 11040 323.677 * * [simplify]: Extracting #7: cost 46 inf + 33136 323.695 * * [simplify]: Extracting #8: cost 6 inf + 64291 323.709 * * [simplify]: Extracting #9: cost 0 inf + 66078 323.724 * * [simplify]: Extracting #10: cost 0 inf + 65795 323.747 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 323.747 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 323.747 * * * * [progress]: [ 359 / 675 ] simplifiying candidate # 323.747 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 323.747 * * [simplify]: iters left: 6 (21 enodes) 323.753 * * [simplify]: iters left: 5 (82 enodes) 323.769 * * [simplify]: iters left: 4 (121 enodes) 323.802 * * [simplify]: iters left: 3 (161 enodes) 323.829 * * [simplify]: iters left: 2 (241 enodes) 323.910 * * [simplify]: iters left: 1 (426 enodes) 324.081 * * [simplify]: Extracting #0: cost 1 inf + 0 324.082 * * [simplify]: Extracting #1: cost 8 inf + 0 324.082 * * [simplify]: Extracting #2: cost 19 inf + 0 324.082 * * [simplify]: Extracting #3: cost 57 inf + 0 324.082 * * [simplify]: Extracting #4: cost 155 inf + 1 324.083 * * [simplify]: Extracting #5: cost 188 inf + 344 324.085 * * [simplify]: Extracting #6: cost 114 inf + 13400 324.092 * * [simplify]: Extracting #7: cost 28 inf + 52248 324.103 * * [simplify]: Extracting #8: cost 0 inf + 74964 324.114 * * [simplify]: Extracting #9: cost 0 inf + 74185 324.127 * * [simplify]: Extracting #10: cost 0 inf + 73766 324.137 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) 324.137 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 324.138 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 324.138 * * [simplify]: iters left: 6 (19 enodes) 324.145 * * [simplify]: iters left: 5 (74 enodes) 324.164 * * [simplify]: iters left: 4 (109 enodes) 324.186 * * [simplify]: iters left: 3 (154 enodes) 324.214 * * [simplify]: iters left: 2 (252 enodes) 324.292 * * [simplify]: iters left: 1 (420 enodes) 324.481 * * [simplify]: Extracting #0: cost 1 inf + 0 324.481 * * [simplify]: Extracting #1: cost 8 inf + 0 324.481 * * [simplify]: Extracting #2: cost 18 inf + 0 324.481 * * [simplify]: Extracting #3: cost 51 inf + 0 324.482 * * [simplify]: Extracting #4: cost 142 inf + 1 324.484 * * [simplify]: Extracting #5: cost 192 inf + 511 324.488 * * [simplify]: Extracting #6: cost 117 inf + 11120 324.497 * * [simplify]: Extracting #7: cost 46 inf + 33216 324.519 * * [simplify]: Extracting #8: cost 6 inf + 64371 324.546 * * [simplify]: Extracting #9: cost 0 inf + 66158 324.563 * * [simplify]: Extracting #10: cost 0 inf + 65875 324.577 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 324.577 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 324.578 * * * * [progress]: [ 360 / 675 ] simplifiying candidate # 324.578 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 324.578 * * [simplify]: iters left: 6 (17 enodes) 324.582 * * [simplify]: iters left: 5 (69 enodes) 324.601 * * [simplify]: iters left: 4 (103 enodes) 324.617 * * [simplify]: iters left: 3 (146 enodes) 324.641 * * [simplify]: iters left: 2 (227 enodes) 324.693 * * [simplify]: iters left: 1 (404 enodes) 324.875 * * [simplify]: Extracting #0: cost 1 inf + 0 324.875 * * [simplify]: Extracting #1: cost 6 inf + 0 324.875 * * [simplify]: Extracting #2: cost 14 inf + 0 324.875 * * [simplify]: Extracting #3: cost 48 inf + 0 324.876 * * [simplify]: Extracting #4: cost 135 inf + 2 324.876 * * [simplify]: Extracting #5: cost 171 inf + 1151 324.881 * * [simplify]: Extracting #6: cost 127 inf + 5816 324.885 * * [simplify]: Extracting #7: cost 57 inf + 22683 324.895 * * [simplify]: Extracting #8: cost 9 inf + 60727 324.916 * * [simplify]: Extracting #9: cost 0 inf + 66136 324.932 * * [simplify]: Extracting #10: cost 0 inf + 65519 324.944 * * [simplify]: Extracting #11: cost 0 inf + 65480 324.958 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 324.958 * [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 (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 324.959 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 324.959 * * [simplify]: iters left: 6 (16 enodes) 324.968 * * [simplify]: iters left: 5 (65 enodes) 324.981 * * [simplify]: iters left: 4 (99 enodes) 324.998 * * [simplify]: iters left: 3 (138 enodes) 325.042 * * [simplify]: iters left: 2 (218 enodes) 325.127 * * [simplify]: iters left: 1 (399 enodes) 325.277 * * [simplify]: Extracting #0: cost 1 inf + 0 325.277 * * [simplify]: Extracting #1: cost 6 inf + 0 325.277 * * [simplify]: Extracting #2: cost 13 inf + 0 325.277 * * [simplify]: Extracting #3: cost 46 inf + 0 325.278 * * [simplify]: Extracting #4: cost 132 inf + 83 325.279 * * [simplify]: Extracting #5: cost 173 inf + 789 325.283 * * [simplify]: Extracting #6: cost 124 inf + 6404 325.294 * * [simplify]: Extracting #7: cost 41 inf + 37150 325.306 * * [simplify]: Extracting #8: cost 0 inf + 67383 325.319 * * [simplify]: Extracting #9: cost 0 inf + 66800 325.330 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 325.330 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 325.330 * * * * [progress]: [ 361 / 675 ] simplifiying candidate # 325.330 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 325.331 * * [simplify]: iters left: 6 (20 enodes) 325.341 * * [simplify]: iters left: 5 (78 enodes) 325.366 * * [simplify]: iters left: 4 (117 enodes) 325.402 * * [simplify]: iters left: 3 (157 enodes) 325.455 * * [simplify]: iters left: 2 (237 enodes) 325.511 * * [simplify]: iters left: 1 (422 enodes) 325.716 * * [simplify]: Extracting #0: cost 1 inf + 0 325.716 * * [simplify]: Extracting #1: cost 8 inf + 0 325.716 * * [simplify]: Extracting #2: cost 18 inf + 0 325.716 * * [simplify]: Extracting #3: cost 57 inf + 0 325.717 * * [simplify]: Extracting #4: cost 156 inf + 1 325.718 * * [simplify]: Extracting #5: cost 190 inf + 386 325.720 * * [simplify]: Extracting #6: cost 125 inf + 9925 325.726 * * [simplify]: Extracting #7: cost 41 inf + 44653 325.737 * * [simplify]: Extracting #8: cost 2 inf + 76759 325.755 * * [simplify]: Extracting #9: cost 0 inf + 77225 325.781 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 325.781 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 325.781 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 325.782 * * [simplify]: iters left: 6 (19 enodes) 325.792 * * [simplify]: iters left: 5 (74 enodes) 325.816 * * [simplify]: iters left: 4 (109 enodes) 325.843 * * [simplify]: iters left: 3 (154 enodes) 325.872 * * [simplify]: iters left: 2 (252 enodes) 325.930 * * [simplify]: iters left: 1 (420 enodes) 326.078 * * [simplify]: Extracting #0: cost 1 inf + 0 326.079 * * [simplify]: Extracting #1: cost 8 inf + 0 326.079 * * [simplify]: Extracting #2: cost 18 inf + 0 326.079 * * [simplify]: Extracting #3: cost 51 inf + 0 326.080 * * [simplify]: Extracting #4: cost 142 inf + 1 326.081 * * [simplify]: Extracting #5: cost 192 inf + 511 326.085 * * [simplify]: Extracting #6: cost 117 inf + 11040 326.095 * * [simplify]: Extracting #7: cost 46 inf + 32976 326.115 * * [simplify]: Extracting #8: cost 6 inf + 64011 326.129 * * [simplify]: Extracting #9: cost 0 inf + 65758 326.146 * * [simplify]: Extracting #10: cost 0 inf + 65475 326.174 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 326.175 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 326.175 * * * * [progress]: [ 362 / 675 ] simplifiying candidate # 326.178 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 326.179 * * [simplify]: iters left: 6 (19 enodes) 326.191 * * [simplify]: iters left: 5 (75 enodes) 326.215 * * [simplify]: iters left: 4 (107 enodes) 326.233 * * [simplify]: iters left: 3 (152 enodes) 326.269 * * [simplify]: iters left: 2 (249 enodes) 326.331 * * [simplify]: iters left: 1 (422 enodes) 326.504 * * [simplify]: Extracting #0: cost 1 inf + 0 326.504 * * [simplify]: Extracting #1: cost 5 inf + 0 326.504 * * [simplify]: Extracting #2: cost 9 inf + 1 326.505 * * [simplify]: Extracting #3: cost 46 inf + 1 326.505 * * [simplify]: Extracting #4: cost 136 inf + 2 326.507 * * [simplify]: Extracting #5: cost 180 inf + 343 326.513 * * [simplify]: Extracting #6: cost 99 inf + 23603 326.533 * * [simplify]: Extracting #7: cost 11 inf + 63393 326.550 * * [simplify]: Extracting #8: cost 0 inf + 69114 326.562 * * [simplify]: Extracting #9: cost 0 inf + 65938 326.577 * * [simplify]: Extracting #10: cost 0 inf + 65600 326.593 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) 326.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 326.594 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 326.594 * * [simplify]: iters left: 6 (18 enodes) 326.601 * * [simplify]: iters left: 5 (71 enodes) 326.613 * * [simplify]: iters left: 4 (110 enodes) 326.638 * * [simplify]: iters left: 3 (154 enodes) 326.664 * * [simplify]: iters left: 2 (235 enodes) 326.721 * * [simplify]: iters left: 1 (415 enodes) 326.892 * * [simplify]: Extracting #0: cost 1 inf + 0 326.892 * * [simplify]: Extracting #1: cost 8 inf + 0 326.892 * * [simplify]: Extracting #2: cost 18 inf + 0 326.892 * * [simplify]: Extracting #3: cost 49 inf + 0 326.893 * * [simplify]: Extracting #4: cost 131 inf + 124 326.893 * * [simplify]: Extracting #5: cost 155 inf + 2636 326.896 * * [simplify]: Extracting #6: cost 88 inf + 14487 326.909 * * [simplify]: Extracting #7: cost 21 inf + 47127 326.929 * * [simplify]: Extracting #8: cost 0 inf + 64054 326.948 * * [simplify]: Extracting #9: cost 0 inf + 63934 326.969 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 326.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 326.969 * * * * [progress]: [ 363 / 675 ] simplifiying candidate # 326.970 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 326.970 * * [simplify]: iters left: 6 (20 enodes) 326.979 * * [simplify]: iters left: 5 (78 enodes) 326.995 * * [simplify]: iters left: 4 (117 enodes) 327.016 * * [simplify]: iters left: 3 (157 enodes) 327.063 * * [simplify]: iters left: 2 (237 enodes) 327.118 * * [simplify]: iters left: 1 (422 enodes) 327.299 * * [simplify]: Extracting #0: cost 1 inf + 0 327.300 * * [simplify]: Extracting #1: cost 8 inf + 0 327.300 * * [simplify]: Extracting #2: cost 18 inf + 0 327.300 * * [simplify]: Extracting #3: cost 57 inf + 0 327.300 * * [simplify]: Extracting #4: cost 156 inf + 1 327.301 * * [simplify]: Extracting #5: cost 190 inf + 386 327.303 * * [simplify]: Extracting #6: cost 125 inf + 9925 327.309 * * [simplify]: Extracting #7: cost 41 inf + 44653 327.329 * * [simplify]: Extracting #8: cost 2 inf + 76759 327.344 * * [simplify]: Extracting #9: cost 0 inf + 77225 327.355 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 327.355 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 327.356 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 327.356 * * [simplify]: iters left: 6 (19 enodes) 327.361 * * [simplify]: iters left: 5 (74 enodes) 327.379 * * [simplify]: iters left: 4 (109 enodes) 327.415 * * [simplify]: iters left: 3 (154 enodes) 327.468 * * [simplify]: iters left: 2 (252 enodes) 327.554 * * [simplify]: iters left: 1 (420 enodes) 327.719 * * [simplify]: Extracting #0: cost 1 inf + 0 327.719 * * [simplify]: Extracting #1: cost 8 inf + 0 327.719 * * [simplify]: Extracting #2: cost 18 inf + 0 327.719 * * [simplify]: Extracting #3: cost 51 inf + 0 327.720 * * [simplify]: Extracting #4: cost 142 inf + 1 327.722 * * [simplify]: Extracting #5: cost 192 inf + 511 327.726 * * [simplify]: Extracting #6: cost 117 inf + 11040 327.736 * * [simplify]: Extracting #7: cost 46 inf + 32976 327.762 * * [simplify]: Extracting #8: cost 6 inf + 64011 327.780 * * [simplify]: Extracting #9: cost 0 inf + 65758 327.795 * * [simplify]: Extracting #10: cost 0 inf + 65475 327.811 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 327.811 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 327.812 * * * * [progress]: [ 364 / 675 ] simplifiying candidate # 327.812 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 327.812 * * [simplify]: iters left: 6 (18 enodes) 327.817 * * [simplify]: iters left: 5 (72 enodes) 327.829 * * [simplify]: iters left: 4 (104 enodes) 327.857 * * [simplify]: iters left: 3 (152 enodes) 327.886 * * [simplify]: iters left: 2 (251 enodes) 327.946 * * [simplify]: iters left: 1 (432 enodes) 328.106 * * [simplify]: Extracting #0: cost 1 inf + 0 328.106 * * [simplify]: Extracting #1: cost 5 inf + 0 328.106 * * [simplify]: Extracting #2: cost 9 inf + 1 328.107 * * [simplify]: Extracting #3: cost 41 inf + 1 328.107 * * [simplify]: Extracting #4: cost 129 inf + 2 328.109 * * [simplify]: Extracting #5: cost 183 inf + 304 328.112 * * [simplify]: Extracting #6: cost 130 inf + 8927 328.122 * * [simplify]: Extracting #7: cost 45 inf + 30005 328.142 * * [simplify]: Extracting #8: cost 6 inf + 58677 328.168 * * [simplify]: Extracting #9: cost 0 inf + 63144 328.191 * * [simplify]: Extracting #10: cost 0 inf + 62733 328.213 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) 328.213 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 328.213 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 328.214 * * [simplify]: iters left: 6 (18 enodes) 328.223 * * [simplify]: iters left: 5 (71 enodes) 328.246 * * [simplify]: iters left: 4 (110 enodes) 328.279 * * [simplify]: iters left: 3 (154 enodes) 328.330 * * [simplify]: iters left: 2 (235 enodes) 328.415 * * [simplify]: iters left: 1 (415 enodes) 328.605 * * [simplify]: Extracting #0: cost 1 inf + 0 328.605 * * [simplify]: Extracting #1: cost 8 inf + 0 328.605 * * [simplify]: Extracting #2: cost 18 inf + 0 328.605 * * [simplify]: Extracting #3: cost 49 inf + 0 328.606 * * [simplify]: Extracting #4: cost 131 inf + 124 328.608 * * [simplify]: Extracting #5: cost 155 inf + 2636 328.613 * * [simplify]: Extracting #6: cost 88 inf + 14487 328.628 * * [simplify]: Extracting #7: cost 21 inf + 47127 328.648 * * [simplify]: Extracting #8: cost 0 inf + 64054 328.672 * * [simplify]: Extracting #9: cost 0 inf + 63934 328.692 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 328.692 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 328.692 * * * * [progress]: [ 365 / 675 ] simplifiying candidate # 328.692 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 328.693 * * [simplify]: iters left: 6 (20 enodes) 328.698 * * [simplify]: iters left: 5 (78 enodes) 328.711 * * [simplify]: iters left: 4 (117 enodes) 328.733 * * [simplify]: iters left: 3 (157 enodes) 328.785 * * [simplify]: iters left: 2 (237 enodes) 328.857 * * [simplify]: iters left: 1 (422 enodes) 329.027 * * [simplify]: Extracting #0: cost 1 inf + 0 329.027 * * [simplify]: Extracting #1: cost 8 inf + 0 329.027 * * [simplify]: Extracting #2: cost 18 inf + 0 329.027 * * [simplify]: Extracting #3: cost 57 inf + 0 329.027 * * [simplify]: Extracting #4: cost 156 inf + 1 329.028 * * [simplify]: Extracting #5: cost 190 inf + 386 329.030 * * [simplify]: Extracting #6: cost 125 inf + 9925 329.036 * * [simplify]: Extracting #7: cost 41 inf + 44653 329.047 * * [simplify]: Extracting #8: cost 2 inf + 76759 329.058 * * [simplify]: Extracting #9: cost 0 inf + 77225 329.084 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 329.084 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 329.084 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 329.085 * * [simplify]: iters left: 6 (19 enodes) 329.094 * * [simplify]: iters left: 5 (74 enodes) 329.111 * * [simplify]: iters left: 4 (109 enodes) 329.128 * * [simplify]: iters left: 3 (154 enodes) 329.165 * * [simplify]: iters left: 2 (252 enodes) 329.232 * * [simplify]: iters left: 1 (420 enodes) 329.389 * * [simplify]: Extracting #0: cost 1 inf + 0 329.390 * * [simplify]: Extracting #1: cost 8 inf + 0 329.390 * * [simplify]: Extracting #2: cost 18 inf + 0 329.390 * * [simplify]: Extracting #3: cost 51 inf + 0 329.391 * * [simplify]: Extracting #4: cost 142 inf + 1 329.392 * * [simplify]: Extracting #5: cost 192 inf + 511 329.396 * * [simplify]: Extracting #6: cost 117 inf + 11040 329.406 * * [simplify]: Extracting #7: cost 46 inf + 32976 329.428 * * [simplify]: Extracting #8: cost 6 inf + 64011 329.455 * * [simplify]: Extracting #9: cost 0 inf + 65758 329.484 * * [simplify]: Extracting #10: cost 0 inf + 65475 329.513 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 329.513 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 329.513 * * * * [progress]: [ 366 / 675 ] simplifiying candidate # 329.514 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 329.514 * * [simplify]: iters left: 6 (17 enodes) 329.527 * * [simplify]: iters left: 5 (67 enodes) 329.548 * * [simplify]: iters left: 4 (104 enodes) 329.582 * * [simplify]: iters left: 3 (151 enodes) 329.630 * * [simplify]: iters left: 2 (233 enodes) 329.716 * * [simplify]: iters left: 1 (417 enodes) 329.894 * * [simplify]: Extracting #0: cost 1 inf + 0 329.894 * * [simplify]: Extracting #1: cost 5 inf + 0 329.894 * * [simplify]: Extracting #2: cost 9 inf + 1 329.894 * * [simplify]: Extracting #3: cost 44 inf + 1 329.895 * * [simplify]: Extracting #4: cost 142 inf + 2 329.896 * * [simplify]: Extracting #5: cost 182 inf + 427 329.898 * * [simplify]: Extracting #6: cost 115 inf + 10019 329.903 * * [simplify]: Extracting #7: cost 37 inf + 39656 329.913 * * [simplify]: Extracting #8: cost 0 inf + 72111 329.932 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) 329.932 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 329.932 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 329.932 * * [simplify]: iters left: 6 (18 enodes) 329.937 * * [simplify]: iters left: 5 (71 enodes) 329.950 * * [simplify]: iters left: 4 (110 enodes) 329.978 * * [simplify]: iters left: 3 (154 enodes) 330.027 * * [simplify]: iters left: 2 (235 enodes) 330.114 * * [simplify]: iters left: 1 (415 enodes) 330.272 * * [simplify]: Extracting #0: cost 1 inf + 0 330.273 * * [simplify]: Extracting #1: cost 8 inf + 0 330.273 * * [simplify]: Extracting #2: cost 18 inf + 0 330.273 * * [simplify]: Extracting #3: cost 49 inf + 0 330.274 * * [simplify]: Extracting #4: cost 131 inf + 124 330.275 * * [simplify]: Extracting #5: cost 155 inf + 2636 330.284 * * [simplify]: Extracting #6: cost 88 inf + 14487 330.299 * * [simplify]: Extracting #7: cost 21 inf + 47127 330.316 * * [simplify]: Extracting #8: cost 0 inf + 64054 330.326 * * [simplify]: Extracting #9: cost 0 inf + 63934 330.336 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 330.336 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 330.336 * * * * [progress]: [ 367 / 675 ] simplifiying candidate # 330.337 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 330.337 * * [simplify]: iters left: 6 (18 enodes) 330.342 * * [simplify]: iters left: 5 (73 enodes) 330.361 * * [simplify]: iters left: 4 (117 enodes) 330.395 * * [simplify]: iters left: 3 (164 enodes) 330.450 * * [simplify]: iters left: 2 (247 enodes) 330.503 * * [simplify]: iters left: 1 (429 enodes) 330.711 * * [simplify]: Extracting #0: cost 1 inf + 0 330.711 * * [simplify]: Extracting #1: cost 10 inf + 0 330.711 * * [simplify]: Extracting #2: cost 23 inf + 0 330.711 * * [simplify]: Extracting #3: cost 55 inf + 0 330.712 * * [simplify]: Extracting #4: cost 142 inf + 1 330.713 * * [simplify]: Extracting #5: cost 176 inf + 386 330.717 * * [simplify]: Extracting #6: cost 134 inf + 5656 330.728 * * [simplify]: Extracting #7: cost 39 inf + 40131 330.753 * * [simplify]: Extracting #8: cost 2 inf + 70183 330.774 * * [simplify]: Extracting #9: cost 0 inf + 71865 330.795 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 330.795 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 330.796 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 330.796 * * [simplify]: iters left: 6 (17 enodes) 330.805 * * [simplify]: iters left: 5 (68 enodes) 330.827 * * [simplify]: iters left: 4 (107 enodes) 330.858 * * [simplify]: iters left: 3 (151 enodes) 330.884 * * [simplify]: iters left: 2 (232 enodes) 330.955 * * [simplify]: iters left: 1 (413 enodes) 331.509 * * [simplify]: Extracting #0: cost 1 inf + 0 331.509 * * [simplify]: Extracting #1: cost 8 inf + 0 331.509 * * [simplify]: Extracting #2: cost 17 inf + 0 331.509 * * [simplify]: Extracting #3: cost 46 inf + 0 331.510 * * [simplify]: Extracting #4: cost 136 inf + 1 331.511 * * [simplify]: Extracting #5: cost 177 inf + 302 331.515 * * [simplify]: Extracting #6: cost 115 inf + 11335 331.530 * * [simplify]: Extracting #7: cost 12 inf + 58308 331.551 * * [simplify]: Extracting #8: cost 0 inf + 68611 331.571 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 331.571 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 331.571 * * * * [progress]: [ 368 / 675 ] simplifiying candidate # 331.572 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 331.572 * * [simplify]: iters left: 6 (19 enodes) 331.582 * * [simplify]: iters left: 5 (75 enodes) 331.609 * * [simplify]: iters left: 4 (110 enodes) 331.642 * * [simplify]: iters left: 3 (152 enodes) 331.692 * * [simplify]: iters left: 2 (248 enodes) 331.779 * * [simplify]: iters left: 1 (422 enodes) 332.016 * * [simplify]: Extracting #0: cost 1 inf + 0 332.016 * * [simplify]: Extracting #1: cost 8 inf + 0 332.016 * * [simplify]: Extracting #2: cost 19 inf + 0 332.016 * * [simplify]: Extracting #3: cost 56 inf + 0 332.017 * * [simplify]: Extracting #4: cost 150 inf + 1 332.019 * * [simplify]: Extracting #5: cost 197 inf + 261 332.024 * * [simplify]: Extracting #6: cost 128 inf + 15895 332.041 * * [simplify]: Extracting #7: cost 22 inf + 57531 332.066 * * [simplify]: Extracting #8: cost 0 inf + 77268 332.091 * * [simplify]: Extracting #9: cost 0 inf + 74401 332.116 * * [simplify]: Extracting #10: cost 0 inf + 73386 332.140 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 332.141 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 332.141 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 332.141 * * [simplify]: iters left: 6 (18 enodes) 332.156 * * [simplify]: iters left: 5 (71 enodes) 332.179 * * [simplify]: iters left: 4 (110 enodes) 332.212 * * [simplify]: iters left: 3 (154 enodes) 332.261 * * [simplify]: iters left: 2 (235 enodes) 332.350 * * [simplify]: iters left: 1 (415 enodes) 332.578 * * [simplify]: Extracting #0: cost 1 inf + 0 332.578 * * [simplify]: Extracting #1: cost 8 inf + 0 332.578 * * [simplify]: Extracting #2: cost 18 inf + 0 332.579 * * [simplify]: Extracting #3: cost 48 inf + 0 332.579 * * [simplify]: Extracting #4: cost 134 inf + 1 332.580 * * [simplify]: Extracting #5: cost 174 inf + 509 332.582 * * [simplify]: Extracting #6: cost 109 inf + 11387 332.589 * * [simplify]: Extracting #7: cost 22 inf + 46225 332.599 * * [simplify]: Extracting #8: cost 0 inf + 64173 332.613 * * [simplify]: Extracting #9: cost 0 inf + 64094 332.631 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 332.631 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 332.632 * * * * [progress]: [ 369 / 675 ] simplifiying candidate # 332.632 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 332.632 * * [simplify]: iters left: 6 (20 enodes) 332.637 * * [simplify]: iters left: 5 (78 enodes) 332.653 * * [simplify]: iters left: 4 (117 enodes) 332.671 * * [simplify]: iters left: 3 (157 enodes) 332.702 * * [simplify]: iters left: 2 (237 enodes) 332.757 * * [simplify]: iters left: 1 (422 enodes) 332.972 * * [simplify]: Extracting #0: cost 1 inf + 0 332.972 * * [simplify]: Extracting #1: cost 8 inf + 0 332.972 * * [simplify]: Extracting #2: cost 18 inf + 0 332.972 * * [simplify]: Extracting #3: cost 57 inf + 0 332.972 * * [simplify]: Extracting #4: cost 156 inf + 1 332.973 * * [simplify]: Extracting #5: cost 190 inf + 386 332.975 * * [simplify]: Extracting #6: cost 122 inf + 11156 332.981 * * [simplify]: Extracting #7: cost 39 inf + 43060 332.992 * * [simplify]: Extracting #8: cost 2 inf + 75519 333.007 * * [simplify]: Extracting #9: cost 0 inf + 77225 333.030 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 333.030 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 333.031 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 333.031 * * [simplify]: iters left: 6 (19 enodes) 333.041 * * [simplify]: iters left: 5 (74 enodes) 333.065 * * [simplify]: iters left: 4 (109 enodes) 333.102 * * [simplify]: iters left: 3 (154 enodes) 333.132 * * [simplify]: iters left: 2 (252 enodes) 333.218 * * [simplify]: iters left: 1 (420 enodes) 333.408 * * [simplify]: Extracting #0: cost 1 inf + 0 333.408 * * [simplify]: Extracting #1: cost 8 inf + 0 333.408 * * [simplify]: Extracting #2: cost 18 inf + 0 333.409 * * [simplify]: Extracting #3: cost 51 inf + 0 333.409 * * [simplify]: Extracting #4: cost 142 inf + 1 333.411 * * [simplify]: Extracting #5: cost 192 inf + 511 333.415 * * [simplify]: Extracting #6: cost 117 inf + 10920 333.425 * * [simplify]: Extracting #7: cost 46 inf + 32896 333.440 * * [simplify]: Extracting #8: cost 6 inf + 64011 333.454 * * [simplify]: Extracting #9: cost 0 inf + 65758 333.471 * * [simplify]: Extracting #10: cost 0 inf + 65475 333.500 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 333.500 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 333.501 * * * * [progress]: [ 370 / 675 ] simplifiying candidate # 333.501 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 333.501 * * [simplify]: iters left: 6 (16 enodes) 333.510 * * [simplify]: iters left: 5 (65 enodes) 333.531 * * [simplify]: iters left: 4 (99 enodes) 333.560 * * [simplify]: iters left: 3 (138 enodes) 333.588 * * [simplify]: iters left: 2 (218 enodes) 333.653 * * [simplify]: iters left: 1 (399 enodes) 333.799 * * [simplify]: Extracting #0: cost 1 inf + 0 333.799 * * [simplify]: Extracting #1: cost 6 inf + 0 333.799 * * [simplify]: Extracting #2: cost 13 inf + 0 333.799 * * [simplify]: Extracting #3: cost 46 inf + 0 333.800 * * [simplify]: Extracting #4: cost 132 inf + 43 333.801 * * [simplify]: Extracting #5: cost 173 inf + 629 333.805 * * [simplify]: Extracting #6: cost 124 inf + 6164 333.816 * * [simplify]: Extracting #7: cost 41 inf + 36790 333.835 * * [simplify]: Extracting #8: cost 0 inf + 66983 333.857 * * [simplify]: Extracting #9: cost 0 inf + 66400 333.882 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 333.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 333.883 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 333.884 * * [simplify]: iters left: 6 (16 enodes) 333.891 * * [simplify]: iters left: 5 (65 enodes) 333.902 * * [simplify]: iters left: 4 (99 enodes) 333.918 * * [simplify]: iters left: 3 (138 enodes) 333.959 * * [simplify]: iters left: 2 (218 enodes) 334.017 * * [simplify]: iters left: 1 (399 enodes) 334.162 * * [simplify]: Extracting #0: cost 1 inf + 0 334.162 * * [simplify]: Extracting #1: cost 6 inf + 0 334.162 * * [simplify]: Extracting #2: cost 13 inf + 0 334.162 * * [simplify]: Extracting #3: cost 46 inf + 0 334.163 * * [simplify]: Extracting #4: cost 132 inf + 43 334.165 * * [simplify]: Extracting #5: cost 173 inf + 629 334.168 * * [simplify]: Extracting #6: cost 124 inf + 6164 334.174 * * [simplify]: Extracting #7: cost 41 inf + 36790 334.184 * * [simplify]: Extracting #8: cost 0 inf + 66983 334.195 * * [simplify]: Extracting #9: cost 0 inf + 66400 334.212 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 334.213 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 334.213 * * * * [progress]: [ 371 / 675 ] simplifiying candidate # 334.213 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 334.213 * * [simplify]: iters left: 6 (18 enodes) 334.219 * * [simplify]: iters left: 5 (71 enodes) 334.231 * * [simplify]: iters left: 4 (107 enodes) 334.251 * * [simplify]: iters left: 3 (154 enodes) 334.279 * * [simplify]: iters left: 2 (236 enodes) 334.353 * * [simplify]: iters left: 1 (409 enodes) 334.508 * * [simplify]: Extracting #0: cost 1 inf + 0 334.508 * * [simplify]: Extracting #1: cost 5 inf + 0 334.508 * * [simplify]: Extracting #2: cost 9 inf + 1 334.509 * * [simplify]: Extracting #3: cost 40 inf + 1 334.509 * * [simplify]: Extracting #4: cost 124 inf + 2 334.510 * * [simplify]: Extracting #5: cost 168 inf + 261 334.513 * * [simplify]: Extracting #6: cost 105 inf + 16754 334.522 * * [simplify]: Extracting #7: cost 11 inf + 49800 334.535 * * [simplify]: Extracting #8: cost 0 inf + 53233 334.555 * * [simplify]: Extracting #9: cost 0 inf + 51836 334.578 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 334.579 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 334.579 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 334.579 * * [simplify]: iters left: 6 (16 enodes) 334.584 * * [simplify]: iters left: 5 (65 enodes) 334.595 * * [simplify]: iters left: 4 (104 enodes) 334.612 * * [simplify]: iters left: 3 (144 enodes) 334.650 * * [simplify]: iters left: 2 (224 enodes) 334.706 * * [simplify]: iters left: 1 (402 enodes) 334.843 * * [simplify]: Extracting #0: cost 1 inf + 0 334.843 * * [simplify]: Extracting #1: cost 8 inf + 0 334.843 * * [simplify]: Extracting #2: cost 17 inf + 0 334.843 * * [simplify]: Extracting #3: cost 51 inf + 0 334.843 * * [simplify]: Extracting #4: cost 140 inf + 2 334.844 * * [simplify]: Extracting #5: cost 160 inf + 1998 334.847 * * [simplify]: Extracting #6: cost 103 inf + 12373 334.860 * * [simplify]: Extracting #7: cost 32 inf + 47818 334.882 * * [simplify]: Extracting #8: cost 2 inf + 73860 334.906 * * [simplify]: Extracting #9: cost 0 inf + 75211 334.922 * * [simplify]: Extracting #10: cost 0 inf + 73065 334.934 * * [simplify]: Extracting #11: cost 0 inf + 72894 334.948 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 334.948 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 334.948 * * * * [progress]: [ 372 / 675 ] simplifiying candidate # 334.949 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 334.949 * * [simplify]: iters left: 6 (16 enodes) 334.956 * * [simplify]: iters left: 5 (65 enodes) 334.978 * * [simplify]: iters left: 4 (99 enodes) 334.993 * * [simplify]: iters left: 3 (138 enodes) 335.019 * * [simplify]: iters left: 2 (218 enodes) 335.076 * * [simplify]: iters left: 1 (399 enodes) 335.251 * * [simplify]: Extracting #0: cost 1 inf + 0 335.251 * * [simplify]: Extracting #1: cost 6 inf + 0 335.251 * * [simplify]: Extracting #2: cost 13 inf + 0 335.251 * * [simplify]: Extracting #3: cost 46 inf + 0 335.252 * * [simplify]: Extracting #4: cost 132 inf + 43 335.252 * * [simplify]: Extracting #5: cost 173 inf + 629 335.254 * * [simplify]: Extracting #6: cost 124 inf + 6164 335.261 * * [simplify]: Extracting #7: cost 41 inf + 36790 335.280 * * [simplify]: Extracting #8: cost 0 inf + 66983 335.290 * * [simplify]: Extracting #9: cost 0 inf + 66400 335.301 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 335.301 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 335.301 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 335.301 * * [simplify]: iters left: 6 (16 enodes) 335.306 * * [simplify]: iters left: 5 (65 enodes) 335.323 * * [simplify]: iters left: 4 (99 enodes) 335.355 * * [simplify]: iters left: 3 (138 enodes) 335.386 * * [simplify]: iters left: 2 (218 enodes) 335.430 * * [simplify]: iters left: 1 (399 enodes) 335.584 * * [simplify]: Extracting #0: cost 1 inf + 0 335.584 * * [simplify]: Extracting #1: cost 6 inf + 0 335.584 * * [simplify]: Extracting #2: cost 13 inf + 0 335.584 * * [simplify]: Extracting #3: cost 46 inf + 0 335.585 * * [simplify]: Extracting #4: cost 132 inf + 43 335.586 * * [simplify]: Extracting #5: cost 173 inf + 629 335.588 * * [simplify]: Extracting #6: cost 124 inf + 6164 335.593 * * [simplify]: Extracting #7: cost 41 inf + 36790 335.603 * * [simplify]: Extracting #8: cost 0 inf + 66983 335.627 * * [simplify]: Extracting #9: cost 0 inf + 66400 335.648 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 335.648 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 335.648 * * * * [progress]: [ 373 / 675 ] simplifiying candidate # 335.648 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 335.649 * * [simplify]: iters left: 6 (17 enodes) 335.659 * * [simplify]: iters left: 5 (68 enodes) 335.681 * * [simplify]: iters left: 4 (104 enodes) 335.713 * * [simplify]: iters left: 3 (151 enodes) 335.759 * * [simplify]: iters left: 2 (233 enodes) 335.842 * * [simplify]: iters left: 1 (413 enodes) 336.008 * * [simplify]: Extracting #0: cost 1 inf + 0 336.008 * * [simplify]: Extracting #1: cost 5 inf + 0 336.008 * * [simplify]: Extracting #2: cost 9 inf + 1 336.008 * * [simplify]: Extracting #3: cost 39 inf + 1 336.008 * * [simplify]: Extracting #4: cost 124 inf + 2 336.009 * * [simplify]: Extracting #5: cost 167 inf + 386 336.011 * * [simplify]: Extracting #6: cost 102 inf + 12410 336.016 * * [simplify]: Extracting #7: cost 41 inf + 29140 336.024 * * [simplify]: Extracting #8: cost 4 inf + 57801 336.034 * * [simplify]: Extracting #9: cost 0 inf + 59949 336.048 * * [simplify]: Extracting #10: cost 0 inf + 59947 336.058 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 336.058 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 336.059 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 336.059 * * [simplify]: iters left: 6 (16 enodes) 336.063 * * [simplify]: iters left: 5 (65 enodes) 336.076 * * [simplify]: iters left: 4 (104 enodes) 336.106 * * [simplify]: iters left: 3 (144 enodes) 336.151 * * [simplify]: iters left: 2 (224 enodes) 336.237 * * [simplify]: iters left: 1 (402 enodes) 336.417 * * [simplify]: Extracting #0: cost 1 inf + 0 336.417 * * [simplify]: Extracting #1: cost 8 inf + 0 336.417 * * [simplify]: Extracting #2: cost 17 inf + 0 336.418 * * [simplify]: Extracting #3: cost 51 inf + 0 336.418 * * [simplify]: Extracting #4: cost 140 inf + 2 336.420 * * [simplify]: Extracting #5: cost 160 inf + 1998 336.423 * * [simplify]: Extracting #6: cost 103 inf + 12373 336.430 * * [simplify]: Extracting #7: cost 32 inf + 47818 336.441 * * [simplify]: Extracting #8: cost 2 inf + 73860 336.453 * * [simplify]: Extracting #9: cost 0 inf + 75211 336.475 * * [simplify]: Extracting #10: cost 0 inf + 73065 336.498 * * [simplify]: Extracting #11: cost 0 inf + 72894 336.522 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 336.522 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 336.522 * * * * [progress]: [ 374 / 675 ] simplifiying candidate # 336.523 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 336.523 * * [simplify]: iters left: 6 (16 enodes) 336.531 * * [simplify]: iters left: 5 (65 enodes) 336.556 * * [simplify]: iters left: 4 (99 enodes) 336.586 * * [simplify]: iters left: 3 (138 enodes) 336.624 * * [simplify]: iters left: 2 (218 enodes) 336.688 * * [simplify]: iters left: 1 (399 enodes) 336.840 * * [simplify]: Extracting #0: cost 1 inf + 0 336.840 * * [simplify]: Extracting #1: cost 6 inf + 0 336.841 * * [simplify]: Extracting #2: cost 13 inf + 0 336.841 * * [simplify]: Extracting #3: cost 46 inf + 0 336.842 * * [simplify]: Extracting #4: cost 132 inf + 43 336.843 * * [simplify]: Extracting #5: cost 173 inf + 629 336.846 * * [simplify]: Extracting #6: cost 124 inf + 6164 336.855 * * [simplify]: Extracting #7: cost 41 inf + 36790 336.865 * * [simplify]: Extracting #8: cost 0 inf + 66983 336.878 * * [simplify]: Extracting #9: cost 0 inf + 66400 336.899 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 336.899 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 336.900 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 336.900 * * [simplify]: iters left: 6 (16 enodes) 336.908 * * [simplify]: iters left: 5 (65 enodes) 336.919 * * [simplify]: iters left: 4 (99 enodes) 336.942 * * [simplify]: iters left: 3 (138 enodes) 336.974 * * [simplify]: iters left: 2 (218 enodes) 337.022 * * [simplify]: iters left: 1 (399 enodes) 337.214 * * [simplify]: Extracting #0: cost 1 inf + 0 337.215 * * [simplify]: Extracting #1: cost 6 inf + 0 337.215 * * [simplify]: Extracting #2: cost 13 inf + 0 337.215 * * [simplify]: Extracting #3: cost 46 inf + 0 337.215 * * [simplify]: Extracting #4: cost 132 inf + 43 337.216 * * [simplify]: Extracting #5: cost 173 inf + 629 337.217 * * [simplify]: Extracting #6: cost 124 inf + 6164 337.223 * * [simplify]: Extracting #7: cost 41 inf + 36790 337.240 * * [simplify]: Extracting #8: cost 0 inf + 66983 337.261 * * [simplify]: Extracting #9: cost 0 inf + 66400 337.282 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 337.282 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 337.282 * * * * [progress]: [ 375 / 675 ] simplifiying candidate # 337.282 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) 337.283 * * [simplify]: iters left: 6 (16 enodes) 337.292 * * [simplify]: iters left: 5 (63 enodes) 337.302 * * [simplify]: iters left: 4 (100 enodes) 337.318 * * [simplify]: iters left: 3 (143 enodes) 337.340 * * [simplify]: iters left: 2 (224 enodes) 337.415 * * [simplify]: iters left: 1 (400 enodes) 337.594 * * [simplify]: Extracting #0: cost 1 inf + 0 337.594 * * [simplify]: Extracting #1: cost 5 inf + 0 337.594 * * [simplify]: Extracting #2: cost 9 inf + 1 337.594 * * [simplify]: Extracting #3: cost 40 inf + 1 337.595 * * [simplify]: Extracting #4: cost 127 inf + 2 337.595 * * [simplify]: Extracting #5: cost 157 inf + 1349 337.597 * * [simplify]: Extracting #6: cost 102 inf + 11006 337.604 * * [simplify]: Extracting #7: cost 57 inf + 21017 337.613 * * [simplify]: Extracting #8: cost 12 inf + 56481 337.631 * * [simplify]: Extracting #9: cost 0 inf + 65341 337.648 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 337.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 337.649 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 337.649 * * [simplify]: iters left: 6 (16 enodes) 337.653 * * [simplify]: iters left: 5 (65 enodes) 337.664 * * [simplify]: iters left: 4 (104 enodes) 337.684 * * [simplify]: iters left: 3 (144 enodes) 337.714 * * [simplify]: iters left: 2 (224 enodes) 337.768 * * [simplify]: iters left: 1 (402 enodes) 337.942 * * [simplify]: Extracting #0: cost 1 inf + 0 337.942 * * [simplify]: Extracting #1: cost 8 inf + 0 337.942 * * [simplify]: Extracting #2: cost 17 inf + 0 337.942 * * [simplify]: Extracting #3: cost 51 inf + 0 337.942 * * [simplify]: Extracting #4: cost 140 inf + 2 337.943 * * [simplify]: Extracting #5: cost 160 inf + 1998 337.946 * * [simplify]: Extracting #6: cost 103 inf + 12373 337.958 * * [simplify]: Extracting #7: cost 32 inf + 47818 337.971 * * [simplify]: Extracting #8: cost 2 inf + 73860 337.982 * * [simplify]: Extracting #9: cost 0 inf + 75211 338.003 * * [simplify]: Extracting #10: cost 0 inf + 73065 338.024 * * [simplify]: Extracting #11: cost 0 inf + 72894 338.036 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 338.036 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 338.036 * * * * [progress]: [ 376 / 675 ] simplifiying candidate # 338.036 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 338.036 * * [simplify]: iters left: 6 (19 enodes) 338.044 * * [simplify]: iters left: 5 (76 enodes) 338.056 * * [simplify]: iters left: 4 (110 enodes) 338.074 * * [simplify]: iters left: 3 (155 enodes) 338.110 * * [simplify]: iters left: 2 (253 enodes) 338.184 * * [simplify]: iters left: 1 (427 enodes) 338.352 * * [simplify]: Extracting #0: cost 1 inf + 0 338.352 * * [simplify]: Extracting #1: cost 7 inf + 0 338.352 * * [simplify]: Extracting #2: cost 13 inf + 1 338.352 * * [simplify]: Extracting #3: cost 46 inf + 1 338.352 * * [simplify]: Extracting #4: cost 136 inf + 2 338.353 * * [simplify]: Extracting #5: cost 184 inf + 303 338.355 * * [simplify]: Extracting #6: cost 132 inf + 9666 338.366 * * [simplify]: Extracting #7: cost 27 inf + 53724 338.390 * * [simplify]: Extracting #8: cost 0 inf + 73876 338.420 * * [simplify]: Extracting #9: cost 0 inf + 72621 338.445 * * [simplify]: Extracting #10: cost 0 inf + 72152 338.470 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 338.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 338.470 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 338.471 * * [simplify]: iters left: 6 (16 enodes) 338.479 * * [simplify]: iters left: 5 (65 enodes) 338.492 * * [simplify]: iters left: 4 (104 enodes) 338.507 * * [simplify]: iters left: 3 (144 enodes) 338.554 * * [simplify]: iters left: 2 (224 enodes) 338.637 * * [simplify]: iters left: 1 (402 enodes) 338.764 * * [simplify]: Extracting #0: cost 1 inf + 0 338.764 * * [simplify]: Extracting #1: cost 8 inf + 0 338.764 * * [simplify]: Extracting #2: cost 17 inf + 0 338.765 * * [simplify]: Extracting #3: cost 51 inf + 0 338.765 * * [simplify]: Extracting #4: cost 140 inf + 2 338.766 * * [simplify]: Extracting #5: cost 159 inf + 2199 338.768 * * [simplify]: Extracting #6: cost 103 inf + 12533 338.775 * * [simplify]: Extracting #7: cost 32 inf + 48138 338.786 * * [simplify]: Extracting #8: cost 2 inf + 74180 338.798 * * [simplify]: Extracting #9: cost 0 inf + 75531 338.812 * * [simplify]: Extracting #10: cost 0 inf + 73385 338.826 * * [simplify]: Extracting #11: cost 0 inf + 73214 338.849 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 338.849 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 338.850 * * * * [progress]: [ 377 / 675 ] simplifiying candidate # 338.850 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 338.850 * * [simplify]: iters left: 6 (19 enodes) 338.857 * * [simplify]: iters left: 5 (75 enodes) 338.869 * * [simplify]: iters left: 4 (105 enodes) 338.890 * * [simplify]: iters left: 3 (150 enodes) 338.943 * * [simplify]: iters left: 2 (247 enodes) 339.027 * * [simplify]: iters left: 1 (428 enodes) 339.186 * * [simplify]: Extracting #0: cost 1 inf + 0 339.186 * * [simplify]: Extracting #1: cost 5 inf + 0 339.186 * * [simplify]: Extracting #2: cost 10 inf + 1 339.187 * * [simplify]: Extracting #3: cost 44 inf + 1 339.187 * * [simplify]: Extracting #4: cost 137 inf + 2 339.188 * * [simplify]: Extracting #5: cost 183 inf + 345 339.190 * * [simplify]: Extracting #6: cost 119 inf + 9644 339.196 * * [simplify]: Extracting #7: cost 32 inf + 43066 339.207 * * [simplify]: Extracting #8: cost 0 inf + 69088 339.218 * * [simplify]: Extracting #9: cost 0 inf + 66725 339.232 * * [simplify]: Extracting #10: cost 0 inf + 66343 339.250 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt (sqrt k)))) 339.250 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 339.251 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 339.251 * * [simplify]: iters left: 6 (17 enodes) 339.260 * * [simplify]: iters left: 5 (68 enodes) 339.283 * * [simplify]: iters left: 4 (107 enodes) 339.316 * * [simplify]: iters left: 3 (151 enodes) 339.366 * * [simplify]: iters left: 2 (232 enodes) 339.422 * * [simplify]: iters left: 1 (413 enodes) 339.582 * * [simplify]: Extracting #0: cost 1 inf + 0 339.582 * * [simplify]: Extracting #1: cost 8 inf + 0 339.582 * * [simplify]: Extracting #2: cost 18 inf + 0 339.582 * * [simplify]: Extracting #3: cost 48 inf + 0 339.582 * * [simplify]: Extracting #4: cost 135 inf + 2 339.583 * * [simplify]: Extracting #5: cost 168 inf + 1035 339.585 * * [simplify]: Extracting #6: cost 105 inf + 12638 339.593 * * [simplify]: Extracting #7: cost 14 inf + 56044 339.609 * * [simplify]: Extracting #8: cost 0 inf + 67379 339.629 * * [simplify]: Extracting #9: cost 0 inf + 67139 339.650 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 339.650 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 339.650 * * * * [progress]: [ 378 / 675 ] simplifiying candidate # 339.651 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 339.651 * * [simplify]: iters left: 6 (19 enodes) 339.667 * * [simplify]: iters left: 5 (75 enodes) 339.679 * * [simplify]: iters left: 4 (105 enodes) 339.704 * * [simplify]: iters left: 3 (150 enodes) 339.741 * * [simplify]: iters left: 2 (247 enodes) 339.801 * * [simplify]: iters left: 1 (428 enodes) 339.962 * * [simplify]: Extracting #0: cost 1 inf + 0 339.962 * * [simplify]: Extracting #1: cost 5 inf + 0 339.962 * * [simplify]: Extracting #2: cost 9 inf + 1 339.963 * * [simplify]: Extracting #3: cost 43 inf + 1 339.963 * * [simplify]: Extracting #4: cost 137 inf + 2 339.965 * * [simplify]: Extracting #5: cost 183 inf + 345 339.969 * * [simplify]: Extracting #6: cost 122 inf + 8251 339.981 * * [simplify]: Extracting #7: cost 33 inf + 42905 339.999 * * [simplify]: Extracting #8: cost 0 inf + 69088 340.010 * * [simplify]: Extracting #9: cost 0 inf + 66725 340.021 * * [simplify]: Extracting #10: cost 0 inf + 66343 340.037 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (fabs (cbrt k)))) 340.038 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 340.038 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 340.039 * * [simplify]: iters left: 6 (18 enodes) 340.048 * * [simplify]: iters left: 5 (71 enodes) 340.074 * * [simplify]: iters left: 4 (110 enodes) 340.094 * * [simplify]: iters left: 3 (154 enodes) 340.120 * * [simplify]: iters left: 2 (235 enodes) 340.177 * * [simplify]: iters left: 1 (415 enodes) 340.329 * * [simplify]: Extracting #0: cost 1 inf + 0 340.329 * * [simplify]: Extracting #1: cost 8 inf + 0 340.329 * * [simplify]: Extracting #2: cost 18 inf + 0 340.329 * * [simplify]: Extracting #3: cost 49 inf + 0 340.329 * * [simplify]: Extracting #4: cost 130 inf + 365 340.330 * * [simplify]: Extracting #5: cost 153 inf + 3198 340.333 * * [simplify]: Extracting #6: cost 88 inf + 14407 340.340 * * [simplify]: Extracting #7: cost 21 inf + 47047 340.350 * * [simplify]: Extracting #8: cost 0 inf + 64054 340.360 * * [simplify]: Extracting #9: cost 0 inf + 63934 340.371 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 340.371 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 340.371 * * * * [progress]: [ 379 / 675 ] simplifiying candidate # 340.372 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 340.372 * * [simplify]: iters left: 6 (18 enodes) 340.385 * * [simplify]: iters left: 5 (71 enodes) 340.408 * * [simplify]: iters left: 4 (105 enodes) 340.442 * * [simplify]: iters left: 3 (149 enodes) 340.488 * * [simplify]: iters left: 2 (230 enodes) 340.574 * * [simplify]: iters left: 1 (410 enodes) 340.765 * * [simplify]: Extracting #0: cost 1 inf + 0 340.765 * * [simplify]: Extracting #1: cost 5 inf + 0 340.765 * * [simplify]: Extracting #2: cost 9 inf + 1 340.765 * * [simplify]: Extracting #3: cost 40 inf + 1 340.766 * * [simplify]: Extracting #4: cost 132 inf + 2 340.768 * * [simplify]: Extracting #5: cost 166 inf + 303 340.770 * * [simplify]: Extracting #6: cost 116 inf + 7133 340.775 * * [simplify]: Extracting #7: cost 53 inf + 24901 340.787 * * [simplify]: Extracting #8: cost 11 inf + 55602 340.797 * * [simplify]: Extracting #9: cost 0 inf + 65003 340.808 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 340.808 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 340.808 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 340.808 * * [simplify]: iters left: 6 (16 enodes) 340.813 * * [simplify]: iters left: 5 (65 enodes) 340.824 * * [simplify]: iters left: 4 (104 enodes) 340.850 * * [simplify]: iters left: 3 (144 enodes) 340.894 * * [simplify]: iters left: 2 (224 enodes) 340.958 * * [simplify]: iters left: 1 (402 enodes) 341.110 * * [simplify]: Extracting #0: cost 1 inf + 0 341.111 * * [simplify]: Extracting #1: cost 8 inf + 0 341.111 * * [simplify]: Extracting #2: cost 17 inf + 0 341.111 * * [simplify]: Extracting #3: cost 51 inf + 0 341.112 * * [simplify]: Extracting #4: cost 140 inf + 2 341.114 * * [simplify]: Extracting #5: cost 159 inf + 2119 341.116 * * [simplify]: Extracting #6: cost 103 inf + 12333 341.123 * * [simplify]: Extracting #7: cost 32 inf + 47818 341.134 * * [simplify]: Extracting #8: cost 2 inf + 73860 341.150 * * [simplify]: Extracting #9: cost 0 inf + 75211 341.172 * * [simplify]: Extracting #10: cost 0 inf + 73065 341.186 * * [simplify]: Extracting #11: cost 0 inf + 72894 341.198 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 341.198 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 341.199 * * * * [progress]: [ 380 / 675 ] simplifiying candidate # 341.199 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 341.199 * * [simplify]: iters left: 6 (15 enodes) 341.212 * * [simplify]: iters left: 5 (62 enodes) 341.231 * * [simplify]: iters left: 4 (96 enodes) 341.258 * * [simplify]: iters left: 3 (134 enodes) 341.299 * * [simplify]: iters left: 2 (214 enodes) 341.346 * * [simplify]: iters left: 1 (393 enodes) 341.485 * * [simplify]: Extracting #0: cost 1 inf + 0 341.485 * * [simplify]: Extracting #1: cost 5 inf + 0 341.486 * * [simplify]: Extracting #2: cost 35 inf + 1 341.486 * * [simplify]: Extracting #3: cost 121 inf + 2 341.487 * * [simplify]: Extracting #4: cost 169 inf + 177 341.489 * * [simplify]: Extracting #5: cost 163 inf + 850 341.493 * * [simplify]: Extracting #6: cost 95 inf + 12865 341.510 * * [simplify]: Extracting #7: cost 6 inf + 58208 341.524 * * [simplify]: Extracting #8: cost 0 inf + 61220 341.534 * * [simplify]: Extracting #9: cost 0 inf + 60968 341.544 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 341.544 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 341.545 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 341.545 * * [simplify]: iters left: 6 (15 enodes) 341.549 * * [simplify]: iters left: 5 (62 enodes) 341.571 * * [simplify]: iters left: 4 (96 enodes) 341.600 * * [simplify]: iters left: 3 (135 enodes) 341.641 * * [simplify]: iters left: 2 (215 enodes) 341.696 * * [simplify]: iters left: 1 (394 enodes) 341.861 * * [simplify]: Extracting #0: cost 1 inf + 0 341.862 * * [simplify]: Extracting #1: cost 6 inf + 0 341.862 * * [simplify]: Extracting #2: cost 13 inf + 0 341.862 * * [simplify]: Extracting #3: cost 42 inf + 42 341.862 * * [simplify]: Extracting #4: cost 125 inf + 246 341.863 * * [simplify]: Extracting #5: cost 162 inf + 1015 341.865 * * [simplify]: Extracting #6: cost 106 inf + 10801 341.873 * * [simplify]: Extracting #7: cost 41 inf + 33153 341.883 * * [simplify]: Extracting #8: cost 0 inf + 67543 341.893 * * [simplify]: Extracting #9: cost 0 inf + 63859 341.906 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 341.906 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 341.906 * * * * [progress]: [ 381 / 675 ] simplifiying candidate # 341.906 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 341.907 * * [simplify]: iters left: 6 (18 enodes) 341.920 * * [simplify]: iters left: 5 (71 enodes) 341.933 * * [simplify]: iters left: 4 (105 enodes) 341.950 * * [simplify]: iters left: 3 (149 enodes) 341.994 * * [simplify]: iters left: 2 (230 enodes) 342.038 * * [simplify]: iters left: 1 (410 enodes) 342.198 * * [simplify]: Extracting #0: cost 1 inf + 0 342.198 * * [simplify]: Extracting #1: cost 5 inf + 0 342.199 * * [simplify]: Extracting #2: cost 9 inf + 1 342.199 * * [simplify]: Extracting #3: cost 40 inf + 1 342.199 * * [simplify]: Extracting #4: cost 132 inf + 2 342.201 * * [simplify]: Extracting #5: cost 166 inf + 303 342.204 * * [simplify]: Extracting #6: cost 116 inf + 7133 342.212 * * [simplify]: Extracting #7: cost 53 inf + 24901 342.231 * * [simplify]: Extracting #8: cost 11 inf + 55602 342.253 * * [simplify]: Extracting #9: cost 0 inf + 65003 342.278 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 342.278 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 342.278 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 342.278 * * [simplify]: iters left: 6 (16 enodes) 342.283 * * [simplify]: iters left: 5 (65 enodes) 342.294 * * [simplify]: iters left: 4 (104 enodes) 342.314 * * [simplify]: iters left: 3 (144 enodes) 342.360 * * [simplify]: iters left: 2 (224 enodes) 342.415 * * [simplify]: iters left: 1 (402 enodes) 342.615 * * [simplify]: Extracting #0: cost 1 inf + 0 342.615 * * [simplify]: Extracting #1: cost 8 inf + 0 342.615 * * [simplify]: Extracting #2: cost 17 inf + 0 342.615 * * [simplify]: Extracting #3: cost 51 inf + 0 342.615 * * [simplify]: Extracting #4: cost 140 inf + 2 342.616 * * [simplify]: Extracting #5: cost 159 inf + 2119 342.619 * * [simplify]: Extracting #6: cost 103 inf + 12333 342.625 * * [simplify]: Extracting #7: cost 32 inf + 47818 342.636 * * [simplify]: Extracting #8: cost 2 inf + 73860 342.651 * * [simplify]: Extracting #9: cost 0 inf + 75211 342.674 * * [simplify]: Extracting #10: cost 0 inf + 73065 342.696 * * [simplify]: Extracting #11: cost 0 inf + 72894 342.710 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 342.710 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 342.710 * * * * [progress]: [ 382 / 675 ] simplifiying candidate # 342.710 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt 1)) 342.710 * * [simplify]: iters left: 6 (15 enodes) 342.717 * * [simplify]: iters left: 5 (62 enodes) 342.727 * * [simplify]: iters left: 4 (96 enodes) 342.742 * * [simplify]: iters left: 3 (134 enodes) 342.767 * * [simplify]: iters left: 2 (214 enodes) 342.848 * * [simplify]: iters left: 1 (393 enodes) 343.050 * * [simplify]: Extracting #0: cost 1 inf + 0 343.050 * * [simplify]: Extracting #1: cost 5 inf + 0 343.050 * * [simplify]: Extracting #2: cost 35 inf + 1 343.051 * * [simplify]: Extracting #3: cost 121 inf + 2 343.051 * * [simplify]: Extracting #4: cost 169 inf + 177 343.052 * * [simplify]: Extracting #5: cost 163 inf + 850 343.054 * * [simplify]: Extracting #6: cost 95 inf + 12865 343.063 * * [simplify]: Extracting #7: cost 6 inf + 58208 343.080 * * [simplify]: Extracting #8: cost 0 inf + 61220 343.100 * * [simplify]: Extracting #9: cost 0 inf + 60968 343.120 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 343.120 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 343.121 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 343.121 * * [simplify]: iters left: 6 (15 enodes) 343.129 * * [simplify]: iters left: 5 (62 enodes) 343.150 * * [simplify]: iters left: 4 (96 enodes) 343.179 * * [simplify]: iters left: 3 (135 enodes) 343.226 * * [simplify]: iters left: 2 (215 enodes) 343.299 * * [simplify]: iters left: 1 (394 enodes) 343.485 * * [simplify]: Extracting #0: cost 1 inf + 0 343.485 * * [simplify]: Extracting #1: cost 6 inf + 0 343.485 * * [simplify]: Extracting #2: cost 13 inf + 0 343.485 * * [simplify]: Extracting #3: cost 42 inf + 42 343.486 * * [simplify]: Extracting #4: cost 125 inf + 246 343.488 * * [simplify]: Extracting #5: cost 162 inf + 1015 343.492 * * [simplify]: Extracting #6: cost 106 inf + 10801 343.503 * * [simplify]: Extracting #7: cost 41 inf + 33153 343.525 * * [simplify]: Extracting #8: cost 0 inf + 67543 343.549 * * [simplify]: Extracting #9: cost 0 inf + 63859 343.569 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 343.569 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 343.569 * * * * [progress]: [ 383 / 675 ] simplifiying candidate # 343.570 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 343.570 * * [simplify]: iters left: 6 (18 enodes) 343.583 * * [simplify]: iters left: 5 (71 enodes) 343.606 * * [simplify]: iters left: 4 (105 enodes) 343.633 * * [simplify]: iters left: 3 (149 enodes) 343.657 * * [simplify]: iters left: 2 (230 enodes) 343.735 * * [simplify]: iters left: 1 (410 enodes) 343.888 * * [simplify]: Extracting #0: cost 1 inf + 0 343.888 * * [simplify]: Extracting #1: cost 5 inf + 0 343.888 * * [simplify]: Extracting #2: cost 9 inf + 1 343.888 * * [simplify]: Extracting #3: cost 40 inf + 1 343.888 * * [simplify]: Extracting #4: cost 132 inf + 2 343.889 * * [simplify]: Extracting #5: cost 166 inf + 303 343.891 * * [simplify]: Extracting #6: cost 116 inf + 7133 343.899 * * [simplify]: Extracting #7: cost 53 inf + 24901 343.917 * * [simplify]: Extracting #8: cost 11 inf + 55602 343.938 * * [simplify]: Extracting #9: cost 0 inf + 65003 343.960 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 343.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 343.961 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 343.961 * * [simplify]: iters left: 6 (16 enodes) 343.970 * * [simplify]: iters left: 5 (65 enodes) 343.988 * * [simplify]: iters left: 4 (104 enodes) 344.004 * * [simplify]: iters left: 3 (144 enodes) 344.045 * * [simplify]: iters left: 2 (224 enodes) 344.128 * * [simplify]: iters left: 1 (402 enodes) 344.321 * * [simplify]: Extracting #0: cost 1 inf + 0 344.321 * * [simplify]: Extracting #1: cost 8 inf + 0 344.321 * * [simplify]: Extracting #2: cost 17 inf + 0 344.321 * * [simplify]: Extracting #3: cost 51 inf + 0 344.322 * * [simplify]: Extracting #4: cost 140 inf + 2 344.323 * * [simplify]: Extracting #5: cost 159 inf + 2119 344.325 * * [simplify]: Extracting #6: cost 103 inf + 12333 344.334 * * [simplify]: Extracting #7: cost 32 inf + 47818 344.345 * * [simplify]: Extracting #8: cost 2 inf + 73860 344.357 * * [simplify]: Extracting #9: cost 0 inf + 75211 344.377 * * [simplify]: Extracting #10: cost 0 inf + 73065 344.401 * * [simplify]: Extracting #11: cost 0 inf + 72894 344.424 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 344.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 344.424 * * * * [progress]: [ 384 / 675 ] simplifiying candidate # 344.425 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) 1) 344.425 * * [simplify]: iters left: 6 (15 enodes) 344.438 * * [simplify]: iters left: 5 (60 enodes) 344.456 * * [simplify]: iters left: 4 (94 enodes) 344.476 * * [simplify]: iters left: 3 (137 enodes) 344.498 * * [simplify]: iters left: 2 (222 enodes) 344.556 * * [simplify]: iters left: 1 (404 enodes) 344.790 * * [simplify]: Extracting #0: cost 1 inf + 0 344.790 * * [simplify]: Extracting #1: cost 5 inf + 0 344.790 * * [simplify]: Extracting #2: cost 36 inf + 1 344.791 * * [simplify]: Extracting #3: cost 127 inf + 2 344.796 * * [simplify]: Extracting #4: cost 171 inf + 177 344.799 * * [simplify]: Extracting #5: cost 146 inf + 3668 344.806 * * [simplify]: Extracting #6: cost 66 inf + 19429 344.816 * * [simplify]: Extracting #7: cost 12 inf + 56949 344.829 * * [simplify]: Extracting #8: cost 0 inf + 66833 344.850 * * [simplify]: Extracting #9: cost 0 inf + 66424 344.871 * * [simplify]: Extracting #10: cost 0 inf + 65832 344.893 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 344.894 * [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 (sqrt k))) (sqrt (sqrt k))))) 344.894 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 344.894 * * [simplify]: iters left: 6 (15 enodes) 344.903 * * [simplify]: iters left: 5 (62 enodes) 344.922 * * [simplify]: iters left: 4 (96 enodes) 344.938 * * [simplify]: iters left: 3 (135 enodes) 344.974 * * [simplify]: iters left: 2 (215 enodes) 345.048 * * [simplify]: iters left: 1 (394 enodes) 345.200 * * [simplify]: Extracting #0: cost 1 inf + 0 345.201 * * [simplify]: Extracting #1: cost 6 inf + 0 345.201 * * [simplify]: Extracting #2: cost 13 inf + 0 345.201 * * [simplify]: Extracting #3: cost 42 inf + 42 345.202 * * [simplify]: Extracting #4: cost 125 inf + 246 345.203 * * [simplify]: Extracting #5: cost 162 inf + 1015 345.208 * * [simplify]: Extracting #6: cost 106 inf + 10801 345.218 * * [simplify]: Extracting #7: cost 41 inf + 33153 345.243 * * [simplify]: Extracting #8: cost 0 inf + 67543 345.263 * * [simplify]: Extracting #9: cost 0 inf + 63859 345.273 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 345.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 345.273 * * * * [progress]: [ 385 / 675 ] simplifiying candidate # 345.273 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 345.274 * * [simplify]: iters left: 6 (18 enodes) 345.278 * * [simplify]: iters left: 5 (73 enodes) 345.300 * * [simplify]: iters left: 4 (117 enodes) 345.331 * * [simplify]: iters left: 3 (164 enodes) 345.360 * * [simplify]: iters left: 2 (247 enodes) 345.443 * * [simplify]: iters left: 1 (429 enodes) 345.645 * * [simplify]: Extracting #0: cost 1 inf + 0 345.645 * * [simplify]: Extracting #1: cost 10 inf + 0 345.645 * * [simplify]: Extracting #2: cost 23 inf + 0 345.646 * * [simplify]: Extracting #3: cost 55 inf + 0 345.646 * * [simplify]: Extracting #4: cost 142 inf + 1 345.647 * * [simplify]: Extracting #5: cost 176 inf + 386 345.649 * * [simplify]: Extracting #6: cost 134 inf + 5656 345.654 * * [simplify]: Extracting #7: cost 39 inf + 40131 345.665 * * [simplify]: Extracting #8: cost 2 inf + 70183 345.679 * * [simplify]: Extracting #9: cost 0 inf + 71865 345.689 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 345.689 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 345.690 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 345.690 * * [simplify]: iters left: 6 (17 enodes) 345.694 * * [simplify]: iters left: 5 (68 enodes) 345.706 * * [simplify]: iters left: 4 (107 enodes) 345.724 * * [simplify]: iters left: 3 (151 enodes) 345.768 * * [simplify]: iters left: 2 (232 enodes) 345.820 * * [simplify]: iters left: 1 (413 enodes) 345.960 * * [simplify]: Extracting #0: cost 1 inf + 0 345.960 * * [simplify]: Extracting #1: cost 8 inf + 0 345.960 * * [simplify]: Extracting #2: cost 17 inf + 0 345.960 * * [simplify]: Extracting #3: cost 46 inf + 0 345.961 * * [simplify]: Extracting #4: cost 136 inf + 1 345.961 * * [simplify]: Extracting #5: cost 177 inf + 302 345.963 * * [simplify]: Extracting #6: cost 115 inf + 11335 345.971 * * [simplify]: Extracting #7: cost 12 inf + 58308 345.984 * * [simplify]: Extracting #8: cost 0 inf + 68611 346.004 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 346.005 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 346.005 * * * * [progress]: [ 386 / 675 ] simplifiying candidate # 346.005 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 346.005 * * [simplify]: iters left: 6 (19 enodes) 346.015 * * [simplify]: iters left: 5 (75 enodes) 346.038 * * [simplify]: iters left: 4 (110 enodes) 346.075 * * [simplify]: iters left: 3 (152 enodes) 346.126 * * [simplify]: iters left: 2 (248 enodes) 346.206 * * [simplify]: iters left: 1 (422 enodes) 346.345 * * [simplify]: Extracting #0: cost 1 inf + 0 346.345 * * [simplify]: Extracting #1: cost 8 inf + 0 346.345 * * [simplify]: Extracting #2: cost 19 inf + 0 346.345 * * [simplify]: Extracting #3: cost 56 inf + 0 346.345 * * [simplify]: Extracting #4: cost 150 inf + 1 346.346 * * [simplify]: Extracting #5: cost 197 inf + 261 346.352 * * [simplify]: Extracting #6: cost 128 inf + 15895 346.361 * * [simplify]: Extracting #7: cost 22 inf + 57531 346.378 * * [simplify]: Extracting #8: cost 0 inf + 77268 346.402 * * [simplify]: Extracting #9: cost 0 inf + 74401 346.422 * * [simplify]: Extracting #10: cost 0 inf + 73386 346.435 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 346.435 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 346.435 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 346.435 * * [simplify]: iters left: 6 (18 enodes) 346.440 * * [simplify]: iters left: 5 (71 enodes) 346.457 * * [simplify]: iters left: 4 (110 enodes) 346.493 * * [simplify]: iters left: 3 (154 enodes) 346.542 * * [simplify]: iters left: 2 (235 enodes) 346.630 * * [simplify]: iters left: 1 (415 enodes) 346.820 * * [simplify]: Extracting #0: cost 1 inf + 0 346.820 * * [simplify]: Extracting #1: cost 8 inf + 0 346.820 * * [simplify]: Extracting #2: cost 18 inf + 0 346.820 * * [simplify]: Extracting #3: cost 48 inf + 0 346.821 * * [simplify]: Extracting #4: cost 134 inf + 1 346.822 * * [simplify]: Extracting #5: cost 174 inf + 509 346.827 * * [simplify]: Extracting #6: cost 109 inf + 11387 346.841 * * [simplify]: Extracting #7: cost 22 inf + 46225 346.861 * * [simplify]: Extracting #8: cost 0 inf + 64173 346.881 * * [simplify]: Extracting #9: cost 0 inf + 64094 346.901 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 346.901 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 346.902 * * * * [progress]: [ 387 / 675 ] simplifiying candidate # 346.902 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 346.902 * * [simplify]: iters left: 6 (20 enodes) 346.913 * * [simplify]: iters left: 5 (78 enodes) 346.938 * * [simplify]: iters left: 4 (117 enodes) 346.964 * * [simplify]: iters left: 3 (157 enodes) 346.990 * * [simplify]: iters left: 2 (237 enodes) 347.077 * * [simplify]: iters left: 1 (422 enodes) 347.276 * * [simplify]: Extracting #0: cost 1 inf + 0 347.276 * * [simplify]: Extracting #1: cost 8 inf + 0 347.276 * * [simplify]: Extracting #2: cost 18 inf + 0 347.276 * * [simplify]: Extracting #3: cost 57 inf + 0 347.277 * * [simplify]: Extracting #4: cost 156 inf + 1 347.279 * * [simplify]: Extracting #5: cost 190 inf + 386 347.283 * * [simplify]: Extracting #6: cost 122 inf + 11156 347.299 * * [simplify]: Extracting #7: cost 39 inf + 43060 347.319 * * [simplify]: Extracting #8: cost 2 inf + 75519 347.330 * * [simplify]: Extracting #9: cost 0 inf + 77225 347.341 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 347.341 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 347.341 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 347.341 * * [simplify]: iters left: 6 (19 enodes) 347.346 * * [simplify]: iters left: 5 (74 enodes) 347.365 * * [simplify]: iters left: 4 (109 enodes) 347.398 * * [simplify]: iters left: 3 (154 enodes) 347.452 * * [simplify]: iters left: 2 (252 enodes) 347.508 * * [simplify]: iters left: 1 (420 enodes) 347.679 * * [simplify]: Extracting #0: cost 1 inf + 0 347.679 * * [simplify]: Extracting #1: cost 8 inf + 0 347.679 * * [simplify]: Extracting #2: cost 18 inf + 0 347.680 * * [simplify]: Extracting #3: cost 51 inf + 0 347.680 * * [simplify]: Extracting #4: cost 142 inf + 1 347.682 * * [simplify]: Extracting #5: cost 192 inf + 511 347.686 * * [simplify]: Extracting #6: cost 117 inf + 10920 347.696 * * [simplify]: Extracting #7: cost 46 inf + 32896 347.708 * * [simplify]: Extracting #8: cost 6 inf + 64011 347.725 * * [simplify]: Extracting #9: cost 0 inf + 65758 347.748 * * [simplify]: Extracting #10: cost 0 inf + 65475 347.762 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 347.762 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 347.762 * * * * [progress]: [ 388 / 675 ] simplifiying candidate # 347.763 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 347.763 * * [simplify]: iters left: 6 (16 enodes) 347.767 * * [simplify]: iters left: 5 (65 enodes) 347.785 * * [simplify]: iters left: 4 (99 enodes) 347.811 * * [simplify]: iters left: 3 (138 enodes) 347.835 * * [simplify]: iters left: 2 (218 enodes) 347.886 * * [simplify]: iters left: 1 (399 enodes) 348.059 * * [simplify]: Extracting #0: cost 1 inf + 0 348.060 * * [simplify]: Extracting #1: cost 6 inf + 0 348.060 * * [simplify]: Extracting #2: cost 13 inf + 0 348.060 * * [simplify]: Extracting #3: cost 46 inf + 0 348.061 * * [simplify]: Extracting #4: cost 132 inf + 43 348.062 * * [simplify]: Extracting #5: cost 173 inf + 629 348.066 * * [simplify]: Extracting #6: cost 124 inf + 6164 348.077 * * [simplify]: Extracting #7: cost 41 inf + 36790 348.097 * * [simplify]: Extracting #8: cost 0 inf + 66983 348.118 * * [simplify]: Extracting #9: cost 0 inf + 66400 348.138 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 348.138 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 348.139 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 348.139 * * [simplify]: iters left: 6 (16 enodes) 348.147 * * [simplify]: iters left: 5 (65 enodes) 348.172 * * [simplify]: iters left: 4 (99 enodes) 348.201 * * [simplify]: iters left: 3 (138 enodes) 348.245 * * [simplify]: iters left: 2 (218 enodes) 348.319 * * [simplify]: iters left: 1 (399 enodes) 348.457 * * [simplify]: Extracting #0: cost 1 inf + 0 348.457 * * [simplify]: Extracting #1: cost 6 inf + 0 348.457 * * [simplify]: Extracting #2: cost 13 inf + 0 348.457 * * [simplify]: Extracting #3: cost 46 inf + 0 348.457 * * [simplify]: Extracting #4: cost 132 inf + 43 348.458 * * [simplify]: Extracting #5: cost 173 inf + 629 348.462 * * [simplify]: Extracting #6: cost 124 inf + 6164 348.473 * * [simplify]: Extracting #7: cost 41 inf + 36790 348.488 * * [simplify]: Extracting #8: cost 0 inf + 66983 348.499 * * [simplify]: Extracting #9: cost 0 inf + 66400 348.517 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 348.517 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 348.517 * * * * [progress]: [ 389 / 675 ] simplifiying candidate # 348.518 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 348.518 * * [simplify]: iters left: 6 (18 enodes) 348.528 * * [simplify]: iters left: 5 (71 enodes) 348.543 * * [simplify]: iters left: 4 (107 enodes) 348.560 * * [simplify]: iters left: 3 (154 enodes) 348.609 * * [simplify]: iters left: 2 (236 enodes) 348.667 * * [simplify]: iters left: 1 (409 enodes) 348.793 * * [simplify]: Extracting #0: cost 1 inf + 0 348.793 * * [simplify]: Extracting #1: cost 5 inf + 0 348.793 * * [simplify]: Extracting #2: cost 9 inf + 1 348.793 * * [simplify]: Extracting #3: cost 40 inf + 1 348.794 * * [simplify]: Extracting #4: cost 124 inf + 2 348.794 * * [simplify]: Extracting #5: cost 168 inf + 261 348.797 * * [simplify]: Extracting #6: cost 105 inf + 16754 348.806 * * [simplify]: Extracting #7: cost 11 inf + 49800 348.819 * * [simplify]: Extracting #8: cost 0 inf + 53233 348.842 * * [simplify]: Extracting #9: cost 0 inf + 51836 348.867 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 348.867 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 348.868 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 348.868 * * [simplify]: iters left: 6 (16 enodes) 348.872 * * [simplify]: iters left: 5 (65 enodes) 348.885 * * [simplify]: iters left: 4 (104 enodes) 348.904 * * [simplify]: iters left: 3 (144 enodes) 348.945 * * [simplify]: iters left: 2 (224 enodes) 349.007 * * [simplify]: iters left: 1 (402 enodes) 349.193 * * [simplify]: Extracting #0: cost 1 inf + 0 349.194 * * [simplify]: Extracting #1: cost 8 inf + 0 349.194 * * [simplify]: Extracting #2: cost 17 inf + 0 349.194 * * [simplify]: Extracting #3: cost 51 inf + 0 349.194 * * [simplify]: Extracting #4: cost 140 inf + 2 349.195 * * [simplify]: Extracting #5: cost 160 inf + 1998 349.197 * * [simplify]: Extracting #6: cost 103 inf + 12373 349.204 * * [simplify]: Extracting #7: cost 32 inf + 47818 349.215 * * [simplify]: Extracting #8: cost 2 inf + 73860 349.232 * * [simplify]: Extracting #9: cost 0 inf + 75211 349.255 * * [simplify]: Extracting #10: cost 0 inf + 73065 349.279 * * [simplify]: Extracting #11: cost 0 inf + 72894 349.303 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 349.303 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 349.303 * * * * [progress]: [ 390 / 675 ] simplifiying candidate # 349.304 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 349.304 * * [simplify]: iters left: 6 (16 enodes) 349.312 * * [simplify]: iters left: 5 (65 enodes) 349.335 * * [simplify]: iters left: 4 (99 enodes) 349.350 * * [simplify]: iters left: 3 (138 enodes) 349.382 * * [simplify]: iters left: 2 (218 enodes) 349.468 * * [simplify]: iters left: 1 (399 enodes) 349.623 * * [simplify]: Extracting #0: cost 1 inf + 0 349.623 * * [simplify]: Extracting #1: cost 6 inf + 0 349.623 * * [simplify]: Extracting #2: cost 13 inf + 0 349.623 * * [simplify]: Extracting #3: cost 46 inf + 0 349.624 * * [simplify]: Extracting #4: cost 132 inf + 43 349.626 * * [simplify]: Extracting #5: cost 173 inf + 629 349.629 * * [simplify]: Extracting #6: cost 124 inf + 6164 349.644 * * [simplify]: Extracting #7: cost 41 inf + 36790 349.655 * * [simplify]: Extracting #8: cost 0 inf + 66983 349.666 * * [simplify]: Extracting #9: cost 0 inf + 66400 349.678 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 349.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 349.679 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 349.679 * * [simplify]: iters left: 6 (16 enodes) 349.688 * * [simplify]: iters left: 5 (65 enodes) 349.709 * * [simplify]: iters left: 4 (99 enodes) 349.740 * * [simplify]: iters left: 3 (138 enodes) 349.787 * * [simplify]: iters left: 2 (218 enodes) 349.838 * * [simplify]: iters left: 1 (399 enodes) 350.050 * * [simplify]: Extracting #0: cost 1 inf + 0 350.050 * * [simplify]: Extracting #1: cost 6 inf + 0 350.050 * * [simplify]: Extracting #2: cost 13 inf + 0 350.050 * * [simplify]: Extracting #3: cost 46 inf + 0 350.051 * * [simplify]: Extracting #4: cost 132 inf + 43 350.052 * * [simplify]: Extracting #5: cost 173 inf + 629 350.056 * * [simplify]: Extracting #6: cost 124 inf + 6164 350.066 * * [simplify]: Extracting #7: cost 41 inf + 36790 350.086 * * [simplify]: Extracting #8: cost 0 inf + 66983 350.108 * * [simplify]: Extracting #9: cost 0 inf + 66400 350.128 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 350.128 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 350.128 * * * * [progress]: [ 391 / 675 ] simplifiying candidate # 350.129 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 350.129 * * [simplify]: iters left: 6 (17 enodes) 350.139 * * [simplify]: iters left: 5 (68 enodes) 350.156 * * [simplify]: iters left: 4 (104 enodes) 350.172 * * [simplify]: iters left: 3 (151 enodes) 350.217 * * [simplify]: iters left: 2 (233 enodes) 350.275 * * [simplify]: iters left: 1 (413 enodes) 350.487 * * [simplify]: Extracting #0: cost 1 inf + 0 350.487 * * [simplify]: Extracting #1: cost 5 inf + 0 350.488 * * [simplify]: Extracting #2: cost 9 inf + 1 350.488 * * [simplify]: Extracting #3: cost 39 inf + 1 350.488 * * [simplify]: Extracting #4: cost 124 inf + 2 350.489 * * [simplify]: Extracting #5: cost 167 inf + 386 350.491 * * [simplify]: Extracting #6: cost 102 inf + 12410 350.496 * * [simplify]: Extracting #7: cost 41 inf + 29140 350.505 * * [simplify]: Extracting #8: cost 4 inf + 57801 350.515 * * [simplify]: Extracting #9: cost 0 inf + 59949 350.526 * * [simplify]: Extracting #10: cost 0 inf + 59947 350.546 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 350.546 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 350.546 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 350.547 * * [simplify]: iters left: 6 (16 enodes) 350.555 * * [simplify]: iters left: 5 (65 enodes) 350.567 * * [simplify]: iters left: 4 (104 enodes) 350.584 * * [simplify]: iters left: 3 (144 enodes) 350.625 * * [simplify]: iters left: 2 (224 enodes) 350.708 * * [simplify]: iters left: 1 (402 enodes) 350.869 * * [simplify]: Extracting #0: cost 1 inf + 0 350.869 * * [simplify]: Extracting #1: cost 8 inf + 0 350.869 * * [simplify]: Extracting #2: cost 17 inf + 0 350.869 * * [simplify]: Extracting #3: cost 51 inf + 0 350.870 * * [simplify]: Extracting #4: cost 140 inf + 2 350.872 * * [simplify]: Extracting #5: cost 160 inf + 1998 350.877 * * [simplify]: Extracting #6: cost 103 inf + 12373 350.890 * * [simplify]: Extracting #7: cost 32 inf + 47818 350.902 * * [simplify]: Extracting #8: cost 2 inf + 73860 350.913 * * [simplify]: Extracting #9: cost 0 inf + 75211 350.925 * * [simplify]: Extracting #10: cost 0 inf + 73065 350.936 * * [simplify]: Extracting #11: cost 0 inf + 72894 350.955 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 350.955 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 350.955 * * * * [progress]: [ 392 / 675 ] simplifiying candidate # 350.955 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 350.955 * * [simplify]: iters left: 6 (16 enodes) 350.964 * * [simplify]: iters left: 5 (65 enodes) 350.985 * * [simplify]: iters left: 4 (99 enodes) 351.012 * * [simplify]: iters left: 3 (138 enodes) 351.037 * * [simplify]: iters left: 2 (218 enodes) 351.100 * * [simplify]: iters left: 1 (399 enodes) 351.266 * * [simplify]: Extracting #0: cost 1 inf + 0 351.266 * * [simplify]: Extracting #1: cost 6 inf + 0 351.266 * * [simplify]: Extracting #2: cost 13 inf + 0 351.266 * * [simplify]: Extracting #3: cost 46 inf + 0 351.267 * * [simplify]: Extracting #4: cost 132 inf + 43 351.268 * * [simplify]: Extracting #5: cost 173 inf + 629 351.270 * * [simplify]: Extracting #6: cost 124 inf + 6164 351.275 * * [simplify]: Extracting #7: cost 41 inf + 36790 351.285 * * [simplify]: Extracting #8: cost 0 inf + 66983 351.299 * * [simplify]: Extracting #9: cost 0 inf + 66400 351.312 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 351.312 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 351.313 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 351.313 * * [simplify]: iters left: 6 (16 enodes) 351.322 * * [simplify]: iters left: 5 (65 enodes) 351.342 * * [simplify]: iters left: 4 (99 enodes) 351.370 * * [simplify]: iters left: 3 (138 enodes) 351.393 * * [simplify]: iters left: 2 (218 enodes) 351.452 * * [simplify]: iters left: 1 (399 enodes) 351.582 * * [simplify]: Extracting #0: cost 1 inf + 0 351.582 * * [simplify]: Extracting #1: cost 6 inf + 0 351.582 * * [simplify]: Extracting #2: cost 13 inf + 0 351.582 * * [simplify]: Extracting #3: cost 46 inf + 0 351.582 * * [simplify]: Extracting #4: cost 132 inf + 43 351.583 * * [simplify]: Extracting #5: cost 173 inf + 629 351.585 * * [simplify]: Extracting #6: cost 124 inf + 6164 351.590 * * [simplify]: Extracting #7: cost 41 inf + 36790 351.600 * * [simplify]: Extracting #8: cost 0 inf + 66983 351.610 * * [simplify]: Extracting #9: cost 0 inf + 66400 351.620 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 351.620 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 351.621 * * * * [progress]: [ 393 / 675 ] simplifiying candidate # 351.621 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) 351.621 * * [simplify]: iters left: 6 (16 enodes) 351.625 * * [simplify]: iters left: 5 (63 enodes) 351.635 * * [simplify]: iters left: 4 (100 enodes) 351.653 * * [simplify]: iters left: 3 (143 enodes) 351.676 * * [simplify]: iters left: 2 (224 enodes) 351.719 * * [simplify]: iters left: 1 (400 enodes) 351.834 * * [simplify]: Extracting #0: cost 1 inf + 0 351.834 * * [simplify]: Extracting #1: cost 5 inf + 0 351.834 * * [simplify]: Extracting #2: cost 9 inf + 1 351.834 * * [simplify]: Extracting #3: cost 40 inf + 1 351.835 * * [simplify]: Extracting #4: cost 127 inf + 2 351.836 * * [simplify]: Extracting #5: cost 157 inf + 1349 351.840 * * [simplify]: Extracting #6: cost 102 inf + 11006 351.848 * * [simplify]: Extracting #7: cost 57 inf + 21017 351.864 * * [simplify]: Extracting #8: cost 12 inf + 56481 351.887 * * [simplify]: Extracting #9: cost 0 inf + 65341 351.907 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 351.907 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 351.908 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 351.908 * * [simplify]: iters left: 6 (16 enodes) 351.917 * * [simplify]: iters left: 5 (65 enodes) 351.938 * * [simplify]: iters left: 4 (104 enodes) 351.970 * * [simplify]: iters left: 3 (144 enodes) 352.010 * * [simplify]: iters left: 2 (224 enodes) 352.079 * * [simplify]: iters left: 1 (402 enodes) 352.264 * * [simplify]: Extracting #0: cost 1 inf + 0 352.264 * * [simplify]: Extracting #1: cost 8 inf + 0 352.264 * * [simplify]: Extracting #2: cost 17 inf + 0 352.264 * * [simplify]: Extracting #3: cost 51 inf + 0 352.265 * * [simplify]: Extracting #4: cost 140 inf + 2 352.267 * * [simplify]: Extracting #5: cost 160 inf + 1998 352.272 * * [simplify]: Extracting #6: cost 103 inf + 12373 352.285 * * [simplify]: Extracting #7: cost 32 inf + 47818 352.301 * * [simplify]: Extracting #8: cost 2 inf + 73860 352.312 * * [simplify]: Extracting #9: cost 0 inf + 75211 352.327 * * [simplify]: Extracting #10: cost 0 inf + 73065 352.350 * * [simplify]: Extracting #11: cost 0 inf + 72894 352.362 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 352.362 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 352.362 * * * * [progress]: [ 394 / 675 ] simplifiying candidate # 352.362 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 352.363 * * [simplify]: iters left: 6 (18 enodes) 352.369 * * [simplify]: iters left: 5 (73 enodes) 352.386 * * [simplify]: iters left: 4 (111 enodes) 352.420 * * [simplify]: iters left: 3 (154 enodes) 352.469 * * [simplify]: iters left: 2 (236 enodes) 352.525 * * [simplify]: iters left: 1 (421 enodes) 352.686 * * [simplify]: Extracting #0: cost 1 inf + 0 352.686 * * [simplify]: Extracting #1: cost 7 inf + 0 352.687 * * [simplify]: Extracting #2: cost 13 inf + 1 352.687 * * [simplify]: Extracting #3: cost 45 inf + 1 352.688 * * [simplify]: Extracting #4: cost 131 inf + 2 352.689 * * [simplify]: Extracting #5: cost 175 inf + 426 352.694 * * [simplify]: Extracting #6: cost 101 inf + 13127 352.709 * * [simplify]: Extracting #7: cost 18 inf + 52508 352.728 * * [simplify]: Extracting #8: cost 0 inf + 67805 352.739 * * [simplify]: Extracting #9: cost 0 inf + 67108 352.753 * * [simplify]: Extracting #10: cost 0 inf + 67056 352.769 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 352.769 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 352.769 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 352.770 * * [simplify]: iters left: 6 (16 enodes) 352.779 * * [simplify]: iters left: 5 (65 enodes) 352.800 * * [simplify]: iters left: 4 (104 enodes) 352.824 * * [simplify]: iters left: 3 (144 enodes) 352.852 * * [simplify]: iters left: 2 (224 enodes) 352.930 * * [simplify]: iters left: 1 (402 enodes) 353.078 * * [simplify]: Extracting #0: cost 1 inf + 0 353.078 * * [simplify]: Extracting #1: cost 8 inf + 0 353.078 * * [simplify]: Extracting #2: cost 17 inf + 0 353.078 * * [simplify]: Extracting #3: cost 51 inf + 0 353.079 * * [simplify]: Extracting #4: cost 140 inf + 2 353.080 * * [simplify]: Extracting #5: cost 159 inf + 2199 353.082 * * [simplify]: Extracting #6: cost 103 inf + 12533 353.089 * * [simplify]: Extracting #7: cost 32 inf + 48138 353.100 * * [simplify]: Extracting #8: cost 2 inf + 74180 353.118 * * [simplify]: Extracting #9: cost 0 inf + 75531 353.141 * * [simplify]: Extracting #10: cost 0 inf + 73385 353.165 * * [simplify]: Extracting #11: cost 0 inf + 73214 353.185 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 353.185 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 353.186 * * * * [progress]: [ 395 / 675 ] simplifiying candidate # 353.186 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 353.186 * * [simplify]: iters left: 6 (18 enodes) 353.192 * * [simplify]: iters left: 5 (72 enodes) 353.204 * * [simplify]: iters left: 4 (102 enodes) 353.220 * * [simplify]: iters left: 3 (150 enodes) 353.254 * * [simplify]: iters left: 2 (252 enodes) 353.318 * * [simplify]: iters left: 1 (440 enodes) 353.515 * * [simplify]: Extracting #0: cost 1 inf + 0 353.515 * * [simplify]: Extracting #1: cost 5 inf + 0 353.515 * * [simplify]: Extracting #2: cost 10 inf + 1 353.515 * * [simplify]: Extracting #3: cost 44 inf + 1 353.516 * * [simplify]: Extracting #4: cost 128 inf + 2 353.517 * * [simplify]: Extracting #5: cost 185 inf + 262 353.521 * * [simplify]: Extracting #6: cost 119 inf + 10246 353.532 * * [simplify]: Extracting #7: cost 40 inf + 33106 353.552 * * [simplify]: Extracting #8: cost 1 inf + 66117 353.574 * * [simplify]: Extracting #9: cost 0 inf + 66079 353.593 * * [simplify]: Extracting #10: cost 0 inf + 64888 353.607 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) 353.607 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 353.607 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 353.607 * * [simplify]: iters left: 6 (17 enodes) 353.612 * * [simplify]: iters left: 5 (68 enodes) 353.625 * * [simplify]: iters left: 4 (107 enodes) 353.658 * * [simplify]: iters left: 3 (151 enodes) 353.706 * * [simplify]: iters left: 2 (232 enodes) 353.779 * * [simplify]: iters left: 1 (413 enodes) 353.925 * * [simplify]: Extracting #0: cost 1 inf + 0 353.925 * * [simplify]: Extracting #1: cost 8 inf + 0 353.925 * * [simplify]: Extracting #2: cost 18 inf + 0 353.925 * * [simplify]: Extracting #3: cost 48 inf + 0 353.925 * * [simplify]: Extracting #4: cost 135 inf + 2 353.926 * * [simplify]: Extracting #5: cost 168 inf + 1035 353.928 * * [simplify]: Extracting #6: cost 105 inf + 12638 353.936 * * [simplify]: Extracting #7: cost 14 inf + 56044 353.946 * * [simplify]: Extracting #8: cost 0 inf + 67379 353.957 * * [simplify]: Extracting #9: cost 0 inf + 67139 353.967 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 353.967 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 353.968 * * * * [progress]: [ 396 / 675 ] simplifiying candidate # 353.968 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 353.968 * * [simplify]: iters left: 6 (18 enodes) 353.974 * * [simplify]: iters left: 5 (72 enodes) 353.986 * * [simplify]: iters left: 4 (102 enodes) 354.012 * * [simplify]: iters left: 3 (150 enodes) 354.044 * * [simplify]: iters left: 2 (252 enodes) 354.133 * * [simplify]: iters left: 1 (440 enodes) 354.299 * * [simplify]: Extracting #0: cost 1 inf + 0 354.299 * * [simplify]: Extracting #1: cost 5 inf + 0 354.299 * * [simplify]: Extracting #2: cost 9 inf + 1 354.299 * * [simplify]: Extracting #3: cost 43 inf + 1 354.300 * * [simplify]: Extracting #4: cost 128 inf + 2 354.301 * * [simplify]: Extracting #5: cost 185 inf + 262 354.310 * * [simplify]: Extracting #6: cost 119 inf + 10246 354.315 * * [simplify]: Extracting #7: cost 40 inf + 33106 354.326 * * [simplify]: Extracting #8: cost 1 inf + 66117 354.337 * * [simplify]: Extracting #9: cost 0 inf + 66079 354.358 * * [simplify]: Extracting #10: cost 0 inf + 64888 354.380 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) 354.380 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 354.381 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 354.381 * * [simplify]: iters left: 6 (18 enodes) 354.389 * * [simplify]: iters left: 5 (71 enodes) 354.400 * * [simplify]: iters left: 4 (110 enodes) 354.422 * * [simplify]: iters left: 3 (154 enodes) 354.471 * * [simplify]: iters left: 2 (235 enodes) 354.545 * * [simplify]: iters left: 1 (415 enodes) 354.718 * * [simplify]: Extracting #0: cost 1 inf + 0 354.718 * * [simplify]: Extracting #1: cost 8 inf + 0 354.719 * * [simplify]: Extracting #2: cost 18 inf + 0 354.719 * * [simplify]: Extracting #3: cost 49 inf + 0 354.719 * * [simplify]: Extracting #4: cost 130 inf + 365 354.720 * * [simplify]: Extracting #5: cost 153 inf + 3198 354.726 * * [simplify]: Extracting #6: cost 88 inf + 14407 354.733 * * [simplify]: Extracting #7: cost 21 inf + 47047 354.748 * * [simplify]: Extracting #8: cost 0 inf + 64054 354.768 * * [simplify]: Extracting #9: cost 0 inf + 63934 354.788 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 354.788 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 354.789 * * * * [progress]: [ 397 / 675 ] simplifiying candidate # 354.789 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 354.789 * * [simplify]: iters left: 6 (17 enodes) 354.799 * * [simplify]: iters left: 5 (68 enodes) 354.810 * * [simplify]: iters left: 4 (102 enodes) 354.826 * * [simplify]: iters left: 3 (149 enodes) 354.872 * * [simplify]: iters left: 2 (235 enodes) 354.953 * * [simplify]: iters left: 1 (414 enodes) 355.162 * * [simplify]: Extracting #0: cost 1 inf + 0 355.162 * * [simplify]: Extracting #1: cost 5 inf + 0 355.162 * * [simplify]: Extracting #2: cost 9 inf + 1 355.162 * * [simplify]: Extracting #3: cost 43 inf + 1 355.163 * * [simplify]: Extracting #4: cost 133 inf + 2 355.164 * * [simplify]: Extracting #5: cost 171 inf + 633 355.166 * * [simplify]: Extracting #6: cost 99 inf + 12354 355.176 * * [simplify]: Extracting #7: cost 16 inf + 52773 355.190 * * [simplify]: Extracting #8: cost 0 inf + 64446 355.202 * * [simplify]: Extracting #9: cost 0 inf + 63575 355.222 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 355.222 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 355.223 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 355.223 * * [simplify]: iters left: 6 (16 enodes) 355.227 * * [simplify]: iters left: 5 (65 enodes) 355.238 * * [simplify]: iters left: 4 (104 enodes) 355.257 * * [simplify]: iters left: 3 (144 enodes) 355.299 * * [simplify]: iters left: 2 (224 enodes) 355.356 * * [simplify]: iters left: 1 (402 enodes) 355.520 * * [simplify]: Extracting #0: cost 1 inf + 0 355.520 * * [simplify]: Extracting #1: cost 8 inf + 0 355.520 * * [simplify]: Extracting #2: cost 17 inf + 0 355.520 * * [simplify]: Extracting #3: cost 51 inf + 0 355.520 * * [simplify]: Extracting #4: cost 140 inf + 2 355.521 * * [simplify]: Extracting #5: cost 159 inf + 2119 355.524 * * [simplify]: Extracting #6: cost 103 inf + 12333 355.530 * * [simplify]: Extracting #7: cost 32 inf + 47818 355.541 * * [simplify]: Extracting #8: cost 2 inf + 73860 355.553 * * [simplify]: Extracting #9: cost 0 inf + 75211 355.576 * * [simplify]: Extracting #10: cost 0 inf + 73065 355.593 * * [simplify]: Extracting #11: cost 0 inf + 72894 355.605 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 355.605 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 355.605 * * * * [progress]: [ 398 / 675 ] simplifiying candidate # 355.605 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt 1))) 355.605 * * [simplify]: iters left: 6 (15 enodes) 355.614 * * [simplify]: iters left: 5 (62 enodes) 355.633 * * [simplify]: iters left: 4 (96 enodes) 355.660 * * [simplify]: iters left: 3 (134 enodes) 355.701 * * [simplify]: iters left: 2 (214 enodes) 355.771 * * [simplify]: iters left: 1 (393 enodes) 355.932 * * [simplify]: Extracting #0: cost 1 inf + 0 355.932 * * [simplify]: Extracting #1: cost 5 inf + 0 355.932 * * [simplify]: Extracting #2: cost 35 inf + 1 355.932 * * [simplify]: Extracting #3: cost 121 inf + 2 355.933 * * [simplify]: Extracting #4: cost 169 inf + 177 355.934 * * [simplify]: Extracting #5: cost 163 inf + 850 355.936 * * [simplify]: Extracting #6: cost 99 inf + 9935 355.947 * * [simplify]: Extracting #7: cost 15 inf + 50431 355.958 * * [simplify]: Extracting #8: cost 0 inf + 60147 355.968 * * [simplify]: Extracting #9: cost 0 inf + 59725 355.982 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 355.982 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 355.983 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 355.983 * * [simplify]: iters left: 6 (15 enodes) 355.991 * * [simplify]: iters left: 5 (62 enodes) 356.016 * * [simplify]: iters left: 4 (96 enodes) 356.045 * * [simplify]: iters left: 3 (135 enodes) 356.088 * * [simplify]: iters left: 2 (215 enodes) 356.172 * * [simplify]: iters left: 1 (394 enodes) 356.363 * * [simplify]: Extracting #0: cost 1 inf + 0 356.363 * * [simplify]: Extracting #1: cost 6 inf + 0 356.363 * * [simplify]: Extracting #2: cost 13 inf + 0 356.363 * * [simplify]: Extracting #3: cost 42 inf + 42 356.364 * * [simplify]: Extracting #4: cost 125 inf + 246 356.365 * * [simplify]: Extracting #5: cost 162 inf + 1015 356.370 * * [simplify]: Extracting #6: cost 106 inf + 10801 356.384 * * [simplify]: Extracting #7: cost 41 inf + 33153 356.404 * * [simplify]: Extracting #8: cost 0 inf + 67543 356.425 * * [simplify]: Extracting #9: cost 0 inf + 63859 356.445 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 356.445 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 356.445 * * * * [progress]: [ 399 / 675 ] simplifiying candidate # 356.445 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 356.446 * * [simplify]: iters left: 6 (17 enodes) 356.455 * * [simplify]: iters left: 5 (68 enodes) 356.478 * * [simplify]: iters left: 4 (102 enodes) 356.509 * * [simplify]: iters left: 3 (149 enodes) 356.550 * * [simplify]: iters left: 2 (235 enodes) 356.608 * * [simplify]: iters left: 1 (414 enodes) 356.820 * * [simplify]: Extracting #0: cost 1 inf + 0 356.820 * * [simplify]: Extracting #1: cost 5 inf + 0 356.820 * * [simplify]: Extracting #2: cost 9 inf + 1 356.820 * * [simplify]: Extracting #3: cost 43 inf + 1 356.821 * * [simplify]: Extracting #4: cost 133 inf + 2 356.822 * * [simplify]: Extracting #5: cost 171 inf + 633 356.824 * * [simplify]: Extracting #6: cost 99 inf + 12354 356.833 * * [simplify]: Extracting #7: cost 16 inf + 52773 356.857 * * [simplify]: Extracting #8: cost 0 inf + 64446 356.881 * * [simplify]: Extracting #9: cost 0 inf + 63575 356.899 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 356.899 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 356.900 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 356.900 * * [simplify]: iters left: 6 (16 enodes) 356.905 * * [simplify]: iters left: 5 (65 enodes) 356.915 * * [simplify]: iters left: 4 (104 enodes) 356.939 * * [simplify]: iters left: 3 (144 enodes) 356.965 * * [simplify]: iters left: 2 (224 enodes) 357.019 * * [simplify]: iters left: 1 (402 enodes) 357.162 * * [simplify]: Extracting #0: cost 1 inf + 0 357.162 * * [simplify]: Extracting #1: cost 8 inf + 0 357.162 * * [simplify]: Extracting #2: cost 17 inf + 0 357.162 * * [simplify]: Extracting #3: cost 51 inf + 0 357.162 * * [simplify]: Extracting #4: cost 140 inf + 2 357.163 * * [simplify]: Extracting #5: cost 159 inf + 2119 357.166 * * [simplify]: Extracting #6: cost 103 inf + 12333 357.179 * * [simplify]: Extracting #7: cost 32 inf + 47818 357.201 * * [simplify]: Extracting #8: cost 2 inf + 73860 357.226 * * [simplify]: Extracting #9: cost 0 inf + 75211 357.249 * * [simplify]: Extracting #10: cost 0 inf + 73065 357.276 * * [simplify]: Extracting #11: cost 0 inf + 72894 357.299 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 357.299 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 357.299 * * * * [progress]: [ 400 / 675 ] simplifiying candidate # 357.300 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt 1)) 357.300 * * [simplify]: iters left: 6 (14 enodes) 357.305 * * [simplify]: iters left: 5 (59 enodes) 357.314 * * [simplify]: iters left: 4 (93 enodes) 357.328 * * [simplify]: iters left: 3 (132 enodes) 357.363 * * [simplify]: iters left: 2 (212 enodes) 357.442 * * [simplify]: iters left: 1 (395 enodes) 357.634 * * [simplify]: Extracting #0: cost 1 inf + 0 357.634 * * [simplify]: Extracting #1: cost 5 inf + 0 357.634 * * [simplify]: Extracting #2: cost 35 inf + 1 357.635 * * [simplify]: Extracting #3: cost 124 inf + 2 357.635 * * [simplify]: Extracting #4: cost 171 inf + 177 357.636 * * [simplify]: Extracting #5: cost 158 inf + 1306 357.639 * * [simplify]: Extracting #6: cost 81 inf + 12788 357.646 * * [simplify]: Extracting #7: cost 24 inf + 47646 357.656 * * [simplify]: Extracting #8: cost 0 inf + 68555 357.667 * * [simplify]: Extracting #9: cost 0 inf + 67115 357.682 * * [simplify]: Extracting #10: cost 0 inf + 66639 357.702 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 357.702 * [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 (sqrt k))) (sqrt (sqrt k))))) 357.703 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 357.703 * * [simplify]: iters left: 6 (15 enodes) 357.707 * * [simplify]: iters left: 5 (62 enodes) 357.719 * * [simplify]: iters left: 4 (96 enodes) 357.734 * * [simplify]: iters left: 3 (135 enodes) 357.773 * * [simplify]: iters left: 2 (215 enodes) 357.828 * * [simplify]: iters left: 1 (394 enodes) 357.993 * * [simplify]: Extracting #0: cost 1 inf + 0 357.993 * * [simplify]: Extracting #1: cost 6 inf + 0 357.993 * * [simplify]: Extracting #2: cost 13 inf + 0 357.993 * * [simplify]: Extracting #3: cost 42 inf + 42 357.994 * * [simplify]: Extracting #4: cost 125 inf + 246 357.994 * * [simplify]: Extracting #5: cost 162 inf + 1015 357.997 * * [simplify]: Extracting #6: cost 106 inf + 10801 358.010 * * [simplify]: Extracting #7: cost 41 inf + 33153 358.031 * * [simplify]: Extracting #8: cost 0 inf + 67543 358.050 * * [simplify]: Extracting #9: cost 0 inf + 63859 358.060 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 358.061 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 358.061 * * * * [progress]: [ 401 / 675 ] simplifiying candidate # 358.061 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 358.061 * * [simplify]: iters left: 6 (17 enodes) 358.066 * * [simplify]: iters left: 5 (68 enodes) 358.078 * * [simplify]: iters left: 4 (102 enodes) 358.098 * * [simplify]: iters left: 3 (149 enodes) 358.124 * * [simplify]: iters left: 2 (235 enodes) 358.166 * * [simplify]: iters left: 1 (414 enodes) 358.331 * * [simplify]: Extracting #0: cost 1 inf + 0 358.331 * * [simplify]: Extracting #1: cost 5 inf + 0 358.331 * * [simplify]: Extracting #2: cost 9 inf + 1 358.331 * * [simplify]: Extracting #3: cost 43 inf + 1 358.332 * * [simplify]: Extracting #4: cost 133 inf + 2 358.332 * * [simplify]: Extracting #5: cost 171 inf + 633 358.335 * * [simplify]: Extracting #6: cost 99 inf + 12354 358.346 * * [simplify]: Extracting #7: cost 16 inf + 52773 358.372 * * [simplify]: Extracting #8: cost 0 inf + 64446 358.384 * * [simplify]: Extracting #9: cost 0 inf + 63575 358.396 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 358.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 358.396 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 358.396 * * [simplify]: iters left: 6 (16 enodes) 358.401 * * [simplify]: iters left: 5 (65 enodes) 358.421 * * [simplify]: iters left: 4 (104 enodes) 358.451 * * [simplify]: iters left: 3 (144 enodes) 358.499 * * [simplify]: iters left: 2 (224 enodes) 358.582 * * [simplify]: iters left: 1 (402 enodes) 358.748 * * [simplify]: Extracting #0: cost 1 inf + 0 358.748 * * [simplify]: Extracting #1: cost 8 inf + 0 358.748 * * [simplify]: Extracting #2: cost 17 inf + 0 358.748 * * [simplify]: Extracting #3: cost 51 inf + 0 358.749 * * [simplify]: Extracting #4: cost 140 inf + 2 358.751 * * [simplify]: Extracting #5: cost 159 inf + 2119 358.756 * * [simplify]: Extracting #6: cost 103 inf + 12333 358.769 * * [simplify]: Extracting #7: cost 32 inf + 47818 358.791 * * [simplify]: Extracting #8: cost 2 inf + 73860 358.805 * * [simplify]: Extracting #9: cost 0 inf + 75211 358.820 * * [simplify]: Extracting #10: cost 0 inf + 73065 358.838 * * [simplify]: Extracting #11: cost 0 inf + 72894 358.861 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 358.861 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 358.861 * * * * [progress]: [ 402 / 675 ] simplifiying candidate # 358.862 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 1) 358.862 * * [simplify]: iters left: 6 (14 enodes) 358.871 * * [simplify]: iters left: 5 (57 enodes) 358.889 * * [simplify]: iters left: 4 (91 enodes) 358.916 * * [simplify]: iters left: 3 (129 enodes) 358.956 * * [simplify]: iters left: 2 (209 enodes) 359.374 * * [simplify]: iters left: 1 (391 enodes) 359.535 * * [simplify]: Extracting #0: cost 1 inf + 0 359.535 * * [simplify]: Extracting #1: cost 5 inf + 0 359.535 * * [simplify]: Extracting #2: cost 38 inf + 1 359.536 * * [simplify]: Extracting #3: cost 125 inf + 2 359.538 * * [simplify]: Extracting #4: cost 162 inf + 219 359.540 * * [simplify]: Extracting #5: cost 158 inf + 686 359.544 * * [simplify]: Extracting #6: cost 90 inf + 11325 359.557 * * [simplify]: Extracting #7: cost 30 inf + 42114 359.576 * * [simplify]: Extracting #8: cost 0 inf + 69873 359.597 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 359.597 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 359.597 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 359.598 * * [simplify]: iters left: 6 (15 enodes) 359.602 * * [simplify]: iters left: 5 (62 enodes) 359.613 * * [simplify]: iters left: 4 (96 enodes) 359.628 * * [simplify]: iters left: 3 (135 enodes) 359.667 * * [simplify]: iters left: 2 (215 enodes) 359.723 * * [simplify]: iters left: 1 (394 enodes) 359.890 * * [simplify]: Extracting #0: cost 1 inf + 0 359.891 * * [simplify]: Extracting #1: cost 6 inf + 0 359.891 * * [simplify]: Extracting #2: cost 13 inf + 0 359.891 * * [simplify]: Extracting #3: cost 42 inf + 42 359.892 * * [simplify]: Extracting #4: cost 125 inf + 246 359.893 * * [simplify]: Extracting #5: cost 162 inf + 1015 359.897 * * [simplify]: Extracting #6: cost 106 inf + 10801 359.903 * * [simplify]: Extracting #7: cost 41 inf + 33153 359.913 * * [simplify]: Extracting #8: cost 0 inf + 67543 359.926 * * [simplify]: Extracting #9: cost 0 inf + 63859 359.941 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 359.941 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 359.941 * * * * [progress]: [ 403 / 675 ] simplifiying candidate # 359.942 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 359.942 * * [simplify]: iters left: 6 (18 enodes) 359.952 * * [simplify]: iters left: 5 (73 enodes) 359.975 * * [simplify]: iters left: 4 (117 enodes) 359.999 * * [simplify]: iters left: 3 (164 enodes) 360.029 * * [simplify]: iters left: 2 (247 enodes) 360.084 * * [simplify]: iters left: 1 (429 enodes) 360.253 * * [simplify]: Extracting #0: cost 1 inf + 0 360.253 * * [simplify]: Extracting #1: cost 10 inf + 0 360.253 * * [simplify]: Extracting #2: cost 23 inf + 0 360.253 * * [simplify]: Extracting #3: cost 55 inf + 0 360.254 * * [simplify]: Extracting #4: cost 142 inf + 1 360.255 * * [simplify]: Extracting #5: cost 176 inf + 386 360.257 * * [simplify]: Extracting #6: cost 134 inf + 5656 360.262 * * [simplify]: Extracting #7: cost 39 inf + 40131 360.279 * * [simplify]: Extracting #8: cost 2 inf + 70183 360.299 * * [simplify]: Extracting #9: cost 0 inf + 71865 360.313 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 360.313 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 360.313 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 360.313 * * [simplify]: iters left: 6 (17 enodes) 360.318 * * [simplify]: iters left: 5 (68 enodes) 360.330 * * [simplify]: iters left: 4 (107 enodes) 360.362 * * [simplify]: iters left: 3 (151 enodes) 360.410 * * [simplify]: iters left: 2 (232 enodes) 360.474 * * [simplify]: iters left: 1 (413 enodes) 360.606 * * [simplify]: Extracting #0: cost 1 inf + 0 360.606 * * [simplify]: Extracting #1: cost 8 inf + 0 360.606 * * [simplify]: Extracting #2: cost 17 inf + 0 360.606 * * [simplify]: Extracting #3: cost 46 inf + 0 360.606 * * [simplify]: Extracting #4: cost 136 inf + 1 360.607 * * [simplify]: Extracting #5: cost 177 inf + 302 360.609 * * [simplify]: Extracting #6: cost 115 inf + 11335 360.616 * * [simplify]: Extracting #7: cost 12 inf + 58308 360.635 * * [simplify]: Extracting #8: cost 0 inf + 68611 360.655 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 360.655 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 360.656 * * * * [progress]: [ 404 / 675 ] simplifiying candidate # 360.656 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 360.656 * * [simplify]: iters left: 6 (19 enodes) 360.667 * * [simplify]: iters left: 5 (75 enodes) 360.690 * * [simplify]: iters left: 4 (110 enodes) 360.710 * * [simplify]: iters left: 3 (152 enodes) 360.743 * * [simplify]: iters left: 2 (248 enodes) 360.797 * * [simplify]: iters left: 1 (422 enodes) 360.991 * * [simplify]: Extracting #0: cost 1 inf + 0 360.991 * * [simplify]: Extracting #1: cost 8 inf + 0 360.991 * * [simplify]: Extracting #2: cost 19 inf + 0 360.992 * * [simplify]: Extracting #3: cost 56 inf + 0 360.992 * * [simplify]: Extracting #4: cost 150 inf + 1 360.994 * * [simplify]: Extracting #5: cost 197 inf + 261 360.999 * * [simplify]: Extracting #6: cost 128 inf + 15895 361.012 * * [simplify]: Extracting #7: cost 22 inf + 57531 361.025 * * [simplify]: Extracting #8: cost 0 inf + 77268 361.045 * * [simplify]: Extracting #9: cost 0 inf + 74401 361.070 * * [simplify]: Extracting #10: cost 0 inf + 73386 361.092 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 361.092 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 361.093 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 361.093 * * [simplify]: iters left: 6 (18 enodes) 361.098 * * [simplify]: iters left: 5 (71 enodes) 361.110 * * [simplify]: iters left: 4 (110 enodes) 361.141 * * [simplify]: iters left: 3 (154 enodes) 361.189 * * [simplify]: iters left: 2 (235 enodes) 361.243 * * [simplify]: iters left: 1 (415 enodes) 361.434 * * [simplify]: Extracting #0: cost 1 inf + 0 361.434 * * [simplify]: Extracting #1: cost 8 inf + 0 361.434 * * [simplify]: Extracting #2: cost 18 inf + 0 361.434 * * [simplify]: Extracting #3: cost 48 inf + 0 361.435 * * [simplify]: Extracting #4: cost 134 inf + 1 361.435 * * [simplify]: Extracting #5: cost 174 inf + 509 361.437 * * [simplify]: Extracting #6: cost 109 inf + 11387 361.447 * * [simplify]: Extracting #7: cost 22 inf + 46225 361.457 * * [simplify]: Extracting #8: cost 0 inf + 64173 361.470 * * [simplify]: Extracting #9: cost 0 inf + 64094 361.490 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 361.490 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 361.490 * * * * [progress]: [ 405 / 675 ] simplifiying candidate # 361.491 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 361.491 * * [simplify]: iters left: 6 (20 enodes) 361.501 * * [simplify]: iters left: 5 (78 enodes) 361.526 * * [simplify]: iters left: 4 (117 enodes) 361.552 * * [simplify]: iters left: 3 (157 enodes) 361.587 * * [simplify]: iters left: 2 (237 enodes) 361.655 * * [simplify]: iters left: 1 (422 enodes) 361.835 * * [simplify]: Extracting #0: cost 1 inf + 0 361.835 * * [simplify]: Extracting #1: cost 8 inf + 0 361.835 * * [simplify]: Extracting #2: cost 18 inf + 0 361.836 * * [simplify]: Extracting #3: cost 57 inf + 0 361.836 * * [simplify]: Extracting #4: cost 156 inf + 1 361.837 * * [simplify]: Extracting #5: cost 190 inf + 386 361.839 * * [simplify]: Extracting #6: cost 122 inf + 11156 361.845 * * [simplify]: Extracting #7: cost 39 inf + 43060 361.859 * * [simplify]: Extracting #8: cost 2 inf + 75519 361.878 * * [simplify]: Extracting #9: cost 0 inf + 77225 361.900 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 361.900 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 361.901 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 361.901 * * [simplify]: iters left: 6 (19 enodes) 361.911 * * [simplify]: iters left: 5 (74 enodes) 361.935 * * [simplify]: iters left: 4 (109 enodes) 361.969 * * [simplify]: iters left: 3 (154 enodes) 362.013 * * [simplify]: iters left: 2 (252 enodes) 362.064 * * [simplify]: iters left: 1 (420 enodes) 362.257 * * [simplify]: Extracting #0: cost 1 inf + 0 362.257 * * [simplify]: Extracting #1: cost 8 inf + 0 362.257 * * [simplify]: Extracting #2: cost 18 inf + 0 362.257 * * [simplify]: Extracting #3: cost 51 inf + 0 362.258 * * [simplify]: Extracting #4: cost 142 inf + 1 362.259 * * [simplify]: Extracting #5: cost 192 inf + 511 362.263 * * [simplify]: Extracting #6: cost 117 inf + 10920 362.273 * * [simplify]: Extracting #7: cost 46 inf + 32896 362.287 * * [simplify]: Extracting #8: cost 6 inf + 64011 362.300 * * [simplify]: Extracting #9: cost 0 inf + 65758 362.328 * * [simplify]: Extracting #10: cost 0 inf + 65475 362.356 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 362.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 362.357 * * * * [progress]: [ 406 / 675 ] simplifiying candidate # 362.357 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 362.357 * * [simplify]: iters left: 6 (16 enodes) 362.367 * * [simplify]: iters left: 5 (65 enodes) 362.386 * * [simplify]: iters left: 4 (99 enodes) 362.401 * * [simplify]: iters left: 3 (138 enodes) 362.423 * * [simplify]: iters left: 2 (218 enodes) 362.492 * * [simplify]: iters left: 1 (399 enodes) 362.654 * * [simplify]: Extracting #0: cost 1 inf + 0 362.654 * * [simplify]: Extracting #1: cost 6 inf + 0 362.654 * * [simplify]: Extracting #2: cost 13 inf + 0 362.654 * * [simplify]: Extracting #3: cost 46 inf + 0 362.654 * * [simplify]: Extracting #4: cost 132 inf + 43 362.655 * * [simplify]: Extracting #5: cost 173 inf + 629 362.656 * * [simplify]: Extracting #6: cost 124 inf + 6164 362.662 * * [simplify]: Extracting #7: cost 41 inf + 36790 362.678 * * [simplify]: Extracting #8: cost 0 inf + 66983 362.699 * * [simplify]: Extracting #9: cost 0 inf + 66400 362.720 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 362.720 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 362.721 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 362.721 * * [simplify]: iters left: 6 (16 enodes) 362.730 * * [simplify]: iters left: 5 (65 enodes) 362.752 * * [simplify]: iters left: 4 (99 enodes) 362.775 * * [simplify]: iters left: 3 (138 enodes) 362.797 * * [simplify]: iters left: 2 (218 enodes) 362.854 * * [simplify]: iters left: 1 (399 enodes) 363.047 * * [simplify]: Extracting #0: cost 1 inf + 0 363.047 * * [simplify]: Extracting #1: cost 6 inf + 0 363.047 * * [simplify]: Extracting #2: cost 13 inf + 0 363.047 * * [simplify]: Extracting #3: cost 46 inf + 0 363.048 * * [simplify]: Extracting #4: cost 132 inf + 43 363.049 * * [simplify]: Extracting #5: cost 173 inf + 629 363.052 * * [simplify]: Extracting #6: cost 124 inf + 6164 363.063 * * [simplify]: Extracting #7: cost 41 inf + 36790 363.080 * * [simplify]: Extracting #8: cost 0 inf + 66983 363.095 * * [simplify]: Extracting #9: cost 0 inf + 66400 363.112 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 363.112 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 363.112 * * * * [progress]: [ 407 / 675 ] simplifiying candidate # 363.113 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 363.113 * * [simplify]: iters left: 6 (18 enodes) 363.123 * * [simplify]: iters left: 5 (71 enodes) 363.145 * * [simplify]: iters left: 4 (107 enodes) 363.167 * * [simplify]: iters left: 3 (154 enodes) 363.198 * * [simplify]: iters left: 2 (236 enodes) 363.283 * * [simplify]: iters left: 1 (409 enodes) 363.437 * * [simplify]: Extracting #0: cost 1 inf + 0 363.437 * * [simplify]: Extracting #1: cost 5 inf + 0 363.437 * * [simplify]: Extracting #2: cost 9 inf + 1 363.437 * * [simplify]: Extracting #3: cost 40 inf + 1 363.438 * * [simplify]: Extracting #4: cost 124 inf + 2 363.440 * * [simplify]: Extracting #5: cost 168 inf + 261 363.445 * * [simplify]: Extracting #6: cost 105 inf + 16754 363.463 * * [simplify]: Extracting #7: cost 11 inf + 49800 363.477 * * [simplify]: Extracting #8: cost 0 inf + 53233 363.491 * * [simplify]: Extracting #9: cost 0 inf + 51836 363.510 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 363.510 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 363.511 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 363.511 * * [simplify]: iters left: 6 (16 enodes) 363.519 * * [simplify]: iters left: 5 (65 enodes) 363.533 * * [simplify]: iters left: 4 (104 enodes) 363.549 * * [simplify]: iters left: 3 (144 enodes) 363.578 * * [simplify]: iters left: 2 (224 enodes) 363.634 * * [simplify]: iters left: 1 (402 enodes) 363.818 * * [simplify]: Extracting #0: cost 1 inf + 0 363.818 * * [simplify]: Extracting #1: cost 8 inf + 0 363.818 * * [simplify]: Extracting #2: cost 17 inf + 0 363.818 * * [simplify]: Extracting #3: cost 51 inf + 0 363.819 * * [simplify]: Extracting #4: cost 140 inf + 2 363.821 * * [simplify]: Extracting #5: cost 160 inf + 1998 363.825 * * [simplify]: Extracting #6: cost 103 inf + 12373 363.843 * * [simplify]: Extracting #7: cost 32 inf + 47818 363.866 * * [simplify]: Extracting #8: cost 2 inf + 73860 363.889 * * [simplify]: Extracting #9: cost 0 inf + 75211 363.913 * * [simplify]: Extracting #10: cost 0 inf + 73065 363.936 * * [simplify]: Extracting #11: cost 0 inf + 72894 363.949 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 363.949 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 363.949 * * * * [progress]: [ 408 / 675 ] simplifiying candidate # 363.949 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 363.949 * * [simplify]: iters left: 6 (16 enodes) 363.954 * * [simplify]: iters left: 5 (65 enodes) 363.966 * * [simplify]: iters left: 4 (99 enodes) 363.989 * * [simplify]: iters left: 3 (138 enodes) 364.019 * * [simplify]: iters left: 2 (218 enodes) 364.072 * * [simplify]: iters left: 1 (399 enodes) 364.219 * * [simplify]: Extracting #0: cost 1 inf + 0 364.220 * * [simplify]: Extracting #1: cost 6 inf + 0 364.220 * * [simplify]: Extracting #2: cost 13 inf + 0 364.220 * * [simplify]: Extracting #3: cost 46 inf + 0 364.221 * * [simplify]: Extracting #4: cost 132 inf + 43 364.222 * * [simplify]: Extracting #5: cost 173 inf + 629 364.226 * * [simplify]: Extracting #6: cost 124 inf + 6164 364.237 * * [simplify]: Extracting #7: cost 41 inf + 36790 364.261 * * [simplify]: Extracting #8: cost 0 inf + 66983 364.282 * * [simplify]: Extracting #9: cost 0 inf + 66400 364.303 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 364.303 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 364.303 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 364.304 * * [simplify]: iters left: 6 (16 enodes) 364.312 * * [simplify]: iters left: 5 (65 enodes) 364.334 * * [simplify]: iters left: 4 (99 enodes) 364.358 * * [simplify]: iters left: 3 (138 enodes) 364.386 * * [simplify]: iters left: 2 (218 enodes) 364.459 * * [simplify]: iters left: 1 (399 enodes) 364.630 * * [simplify]: Extracting #0: cost 1 inf + 0 364.630 * * [simplify]: Extracting #1: cost 6 inf + 0 364.630 * * [simplify]: Extracting #2: cost 13 inf + 0 364.630 * * [simplify]: Extracting #3: cost 46 inf + 0 364.630 * * [simplify]: Extracting #4: cost 132 inf + 43 364.631 * * [simplify]: Extracting #5: cost 173 inf + 629 364.633 * * [simplify]: Extracting #6: cost 124 inf + 6164 364.638 * * [simplify]: Extracting #7: cost 41 inf + 36790 364.648 * * [simplify]: Extracting #8: cost 0 inf + 66983 364.659 * * [simplify]: Extracting #9: cost 0 inf + 66400 364.669 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 364.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 364.670 * * * * [progress]: [ 409 / 675 ] simplifiying candidate # 364.670 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 364.670 * * [simplify]: iters left: 6 (17 enodes) 364.675 * * [simplify]: iters left: 5 (68 enodes) 364.689 * * [simplify]: iters left: 4 (104 enodes) 364.705 * * [simplify]: iters left: 3 (151 enodes) 364.729 * * [simplify]: iters left: 2 (233 enodes) 364.774 * * [simplify]: iters left: 1 (413 enodes) 364.905 * * [simplify]: Extracting #0: cost 1 inf + 0 364.905 * * [simplify]: Extracting #1: cost 5 inf + 0 364.905 * * [simplify]: Extracting #2: cost 9 inf + 1 364.905 * * [simplify]: Extracting #3: cost 39 inf + 1 364.906 * * [simplify]: Extracting #4: cost 124 inf + 2 364.910 * * [simplify]: Extracting #5: cost 167 inf + 386 364.912 * * [simplify]: Extracting #6: cost 102 inf + 12410 364.917 * * [simplify]: Extracting #7: cost 41 inf + 29140 364.929 * * [simplify]: Extracting #8: cost 4 inf + 57801 364.940 * * [simplify]: Extracting #9: cost 0 inf + 59949 364.950 * * [simplify]: Extracting #10: cost 0 inf + 59947 364.960 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 364.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 364.961 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 364.961 * * [simplify]: iters left: 6 (16 enodes) 364.965 * * [simplify]: iters left: 5 (65 enodes) 364.977 * * [simplify]: iters left: 4 (104 enodes) 365.012 * * [simplify]: iters left: 3 (144 enodes) 365.046 * * [simplify]: iters left: 2 (224 enodes) 365.110 * * [simplify]: iters left: 1 (402 enodes) 365.274 * * [simplify]: Extracting #0: cost 1 inf + 0 365.274 * * [simplify]: Extracting #1: cost 8 inf + 0 365.274 * * [simplify]: Extracting #2: cost 17 inf + 0 365.275 * * [simplify]: Extracting #3: cost 51 inf + 0 365.275 * * [simplify]: Extracting #4: cost 140 inf + 2 365.277 * * [simplify]: Extracting #5: cost 160 inf + 1998 365.282 * * [simplify]: Extracting #6: cost 103 inf + 12373 365.295 * * [simplify]: Extracting #7: cost 32 inf + 47818 365.322 * * [simplify]: Extracting #8: cost 2 inf + 73860 365.346 * * [simplify]: Extracting #9: cost 0 inf + 75211 365.369 * * [simplify]: Extracting #10: cost 0 inf + 73065 365.392 * * [simplify]: Extracting #11: cost 0 inf + 72894 365.410 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 365.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 365.411 * * * * [progress]: [ 410 / 675 ] simplifiying candidate # 365.411 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 365.411 * * [simplify]: iters left: 6 (16 enodes) 365.415 * * [simplify]: iters left: 5 (65 enodes) 365.426 * * [simplify]: iters left: 4 (99 enodes) 365.445 * * [simplify]: iters left: 3 (138 enodes) 365.485 * * [simplify]: iters left: 2 (218 enodes) 365.552 * * [simplify]: iters left: 1 (399 enodes) 365.724 * * [simplify]: Extracting #0: cost 1 inf + 0 365.724 * * [simplify]: Extracting #1: cost 6 inf + 0 365.724 * * [simplify]: Extracting #2: cost 13 inf + 0 365.724 * * [simplify]: Extracting #3: cost 46 inf + 0 365.725 * * [simplify]: Extracting #4: cost 132 inf + 43 365.726 * * [simplify]: Extracting #5: cost 173 inf + 629 365.730 * * [simplify]: Extracting #6: cost 124 inf + 6164 365.740 * * [simplify]: Extracting #7: cost 41 inf + 36790 365.751 * * [simplify]: Extracting #8: cost 0 inf + 66983 365.762 * * [simplify]: Extracting #9: cost 0 inf + 66400 365.781 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 365.781 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 365.781 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 365.781 * * [simplify]: iters left: 6 (16 enodes) 365.790 * * [simplify]: iters left: 5 (65 enodes) 365.811 * * [simplify]: iters left: 4 (99 enodes) 365.841 * * [simplify]: iters left: 3 (138 enodes) 365.884 * * [simplify]: iters left: 2 (218 enodes) 365.969 * * [simplify]: iters left: 1 (399 enodes) 366.129 * * [simplify]: Extracting #0: cost 1 inf + 0 366.129 * * [simplify]: Extracting #1: cost 6 inf + 0 366.129 * * [simplify]: Extracting #2: cost 13 inf + 0 366.129 * * [simplify]: Extracting #3: cost 46 inf + 0 366.130 * * [simplify]: Extracting #4: cost 132 inf + 43 366.132 * * [simplify]: Extracting #5: cost 173 inf + 629 366.135 * * [simplify]: Extracting #6: cost 124 inf + 6164 366.146 * * [simplify]: Extracting #7: cost 41 inf + 36790 366.166 * * [simplify]: Extracting #8: cost 0 inf + 66983 366.188 * * [simplify]: Extracting #9: cost 0 inf + 66400 366.204 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 366.204 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 366.204 * * * * [progress]: [ 411 / 675 ] simplifiying candidate # 366.205 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) 366.205 * * [simplify]: iters left: 6 (16 enodes) 366.209 * * [simplify]: iters left: 5 (63 enodes) 366.220 * * [simplify]: iters left: 4 (100 enodes) 366.246 * * [simplify]: iters left: 3 (143 enodes) 366.289 * * [simplify]: iters left: 2 (224 enodes) 366.339 * * [simplify]: iters left: 1 (400 enodes) 366.482 * * [simplify]: Extracting #0: cost 1 inf + 0 366.482 * * [simplify]: Extracting #1: cost 5 inf + 0 366.482 * * [simplify]: Extracting #2: cost 9 inf + 1 366.482 * * [simplify]: Extracting #3: cost 40 inf + 1 366.482 * * [simplify]: Extracting #4: cost 127 inf + 2 366.483 * * [simplify]: Extracting #5: cost 157 inf + 1349 366.485 * * [simplify]: Extracting #6: cost 102 inf + 11006 366.489 * * [simplify]: Extracting #7: cost 57 inf + 21017 366.497 * * [simplify]: Extracting #8: cost 12 inf + 56481 366.507 * * [simplify]: Extracting #9: cost 0 inf + 65341 366.521 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 366.521 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 366.521 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 366.521 * * [simplify]: iters left: 6 (16 enodes) 366.526 * * [simplify]: iters left: 5 (65 enodes) 366.537 * * [simplify]: iters left: 4 (104 enodes) 366.566 * * [simplify]: iters left: 3 (144 enodes) 366.608 * * [simplify]: iters left: 2 (224 enodes) 366.653 * * [simplify]: iters left: 1 (402 enodes) 366.808 * * [simplify]: Extracting #0: cost 1 inf + 0 366.808 * * [simplify]: Extracting #1: cost 8 inf + 0 366.808 * * [simplify]: Extracting #2: cost 17 inf + 0 366.808 * * [simplify]: Extracting #3: cost 51 inf + 0 366.809 * * [simplify]: Extracting #4: cost 140 inf + 2 366.811 * * [simplify]: Extracting #5: cost 160 inf + 1998 366.815 * * [simplify]: Extracting #6: cost 103 inf + 12373 366.825 * * [simplify]: Extracting #7: cost 32 inf + 47818 366.837 * * [simplify]: Extracting #8: cost 2 inf + 73860 366.849 * * [simplify]: Extracting #9: cost 0 inf + 75211 366.867 * * [simplify]: Extracting #10: cost 0 inf + 73065 366.890 * * [simplify]: Extracting #11: cost 0 inf + 72894 366.916 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 366.917 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 366.917 * * * * [progress]: [ 412 / 675 ] simplifiying candidate # 366.917 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 366.917 * * [simplify]: iters left: 6 (17 enodes) 366.926 * * [simplify]: iters left: 5 (68 enodes) 366.947 * * [simplify]: iters left: 4 (108 enodes) 366.964 * * [simplify]: iters left: 3 (158 enodes) 366.989 * * [simplify]: iters left: 2 (241 enodes) 367.034 * * [simplify]: iters left: 1 (418 enodes) 367.230 * * [simplify]: Extracting #0: cost 1 inf + 0 367.230 * * [simplify]: Extracting #1: cost 7 inf + 0 367.230 * * [simplify]: Extracting #2: cost 13 inf + 1 367.230 * * [simplify]: Extracting #3: cost 48 inf + 1 367.231 * * [simplify]: Extracting #4: cost 136 inf + 2 367.231 * * [simplify]: Extracting #5: cost 179 inf + 262 367.234 * * [simplify]: Extracting #6: cost 102 inf + 19211 367.242 * * [simplify]: Extracting #7: cost 19 inf + 55005 367.253 * * [simplify]: Extracting #8: cost 0 inf + 69268 367.269 * * [simplify]: Extracting #9: cost 0 inf + 67498 367.290 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 367.290 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 367.290 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 367.291 * * [simplify]: iters left: 6 (16 enodes) 367.299 * * [simplify]: iters left: 5 (65 enodes) 367.321 * * [simplify]: iters left: 4 (104 enodes) 367.347 * * [simplify]: iters left: 3 (144 enodes) 367.371 * * [simplify]: iters left: 2 (224 enodes) 367.426 * * [simplify]: iters left: 1 (402 enodes) 367.617 * * [simplify]: Extracting #0: cost 1 inf + 0 367.617 * * [simplify]: Extracting #1: cost 8 inf + 0 367.617 * * [simplify]: Extracting #2: cost 17 inf + 0 367.617 * * [simplify]: Extracting #3: cost 51 inf + 0 367.618 * * [simplify]: Extracting #4: cost 140 inf + 2 367.620 * * [simplify]: Extracting #5: cost 159 inf + 2199 367.624 * * [simplify]: Extracting #6: cost 103 inf + 12533 367.643 * * [simplify]: Extracting #7: cost 32 inf + 48138 367.665 * * [simplify]: Extracting #8: cost 2 inf + 74180 367.687 * * [simplify]: Extracting #9: cost 0 inf + 75531 367.710 * * [simplify]: Extracting #10: cost 0 inf + 73385 367.735 * * [simplify]: Extracting #11: cost 0 inf + 73214 367.757 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 367.757 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 367.758 * * * * [progress]: [ 413 / 675 ] simplifiying candidate # 367.758 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 367.758 * * [simplify]: iters left: 6 (17 enodes) 367.768 * * [simplify]: iters left: 5 (67 enodes) 367.788 * * [simplify]: iters left: 4 (103 enodes) 367.824 * * [simplify]: iters left: 3 (151 enodes) 367.872 * * [simplify]: iters left: 2 (237 enodes) 367.956 * * [simplify]: iters left: 1 (413 enodes) 368.101 * * [simplify]: Extracting #0: cost 1 inf + 0 368.102 * * [simplify]: Extracting #1: cost 5 inf + 0 368.102 * * [simplify]: Extracting #2: cost 10 inf + 1 368.102 * * [simplify]: Extracting #3: cost 41 inf + 1 368.103 * * [simplify]: Extracting #4: cost 129 inf + 2 368.108 * * [simplify]: Extracting #5: cost 165 inf + 303 368.112 * * [simplify]: Extracting #6: cost 108 inf + 9112 368.125 * * [simplify]: Extracting #7: cost 23 inf + 43704 368.149 * * [simplify]: Extracting #8: cost 0 inf + 57436 368.176 * * [simplify]: Extracting #9: cost 0 inf + 53651 368.203 * * [simplify]: Extracting #10: cost 0 inf + 52836 368.231 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) 368.231 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 368.231 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 368.232 * * [simplify]: iters left: 6 (17 enodes) 368.240 * * [simplify]: iters left: 5 (68 enodes) 368.262 * * [simplify]: iters left: 4 (107 enodes) 368.282 * * [simplify]: iters left: 3 (151 enodes) 368.315 * * [simplify]: iters left: 2 (232 enodes) 368.372 * * [simplify]: iters left: 1 (413 enodes) 368.517 * * [simplify]: Extracting #0: cost 1 inf + 0 368.518 * * [simplify]: Extracting #1: cost 8 inf + 0 368.518 * * [simplify]: Extracting #2: cost 18 inf + 0 368.518 * * [simplify]: Extracting #3: cost 48 inf + 0 368.518 * * [simplify]: Extracting #4: cost 135 inf + 2 368.519 * * [simplify]: Extracting #5: cost 168 inf + 1035 368.521 * * [simplify]: Extracting #6: cost 105 inf + 12638 368.529 * * [simplify]: Extracting #7: cost 14 inf + 56044 368.542 * * [simplify]: Extracting #8: cost 0 inf + 67379 368.559 * * [simplify]: Extracting #9: cost 0 inf + 67139 368.579 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 368.579 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 368.579 * * * * [progress]: [ 414 / 675 ] simplifiying candidate # 368.579 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 368.580 * * [simplify]: iters left: 6 (17 enodes) 368.589 * * [simplify]: iters left: 5 (67 enodes) 368.611 * * [simplify]: iters left: 4 (103 enodes) 368.644 * * [simplify]: iters left: 3 (151 enodes) 368.684 * * [simplify]: iters left: 2 (237 enodes) 368.739 * * [simplify]: iters left: 1 (413 enodes) 368.884 * * [simplify]: Extracting #0: cost 1 inf + 0 368.884 * * [simplify]: Extracting #1: cost 5 inf + 0 368.884 * * [simplify]: Extracting #2: cost 9 inf + 1 368.884 * * [simplify]: Extracting #3: cost 40 inf + 1 368.884 * * [simplify]: Extracting #4: cost 129 inf + 2 368.885 * * [simplify]: Extracting #5: cost 165 inf + 303 368.887 * * [simplify]: Extracting #6: cost 108 inf + 9072 368.897 * * [simplify]: Extracting #7: cost 23 inf + 43704 368.920 * * [simplify]: Extracting #8: cost 0 inf + 57436 368.947 * * [simplify]: Extracting #9: cost 0 inf + 53651 368.980 * * [simplify]: Extracting #10: cost 0 inf + 52836 368.999 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) 368.999 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 369.000 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 369.000 * * [simplify]: iters left: 6 (18 enodes) 369.005 * * [simplify]: iters left: 5 (71 enodes) 369.017 * * [simplify]: iters left: 4 (110 enodes) 369.050 * * [simplify]: iters left: 3 (154 enodes) 369.084 * * [simplify]: iters left: 2 (235 enodes) 369.136 * * [simplify]: iters left: 1 (415 enodes) 369.292 * * [simplify]: Extracting #0: cost 1 inf + 0 369.292 * * [simplify]: Extracting #1: cost 8 inf + 0 369.292 * * [simplify]: Extracting #2: cost 18 inf + 0 369.292 * * [simplify]: Extracting #3: cost 49 inf + 0 369.293 * * [simplify]: Extracting #4: cost 130 inf + 365 369.295 * * [simplify]: Extracting #5: cost 153 inf + 3198 369.300 * * [simplify]: Extracting #6: cost 88 inf + 14407 369.314 * * [simplify]: Extracting #7: cost 21 inf + 47047 369.335 * * [simplify]: Extracting #8: cost 0 inf + 64054 369.355 * * [simplify]: Extracting #9: cost 0 inf + 63934 369.380 * [simplify]: Simplified to (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 369.380 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 369.380 * * * * [progress]: [ 415 / 675 ] simplifiying candidate # 369.380 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) 369.381 * * [simplify]: iters left: 6 (16 enodes) 369.386 * * [simplify]: iters left: 5 (63 enodes) 369.397 * * [simplify]: iters left: 4 (99 enodes) 369.422 * * [simplify]: iters left: 3 (143 enodes) 369.450 * * [simplify]: iters left: 2 (224 enodes) 369.518 * * [simplify]: iters left: 1 (400 enodes) 369.654 * * [simplify]: Extracting #0: cost 1 inf + 0 369.654 * * [simplify]: Extracting #1: cost 5 inf + 0 369.654 * * [simplify]: Extracting #2: cost 9 inf + 1 369.654 * * [simplify]: Extracting #3: cost 42 inf + 1 369.655 * * [simplify]: Extracting #4: cost 131 inf + 2 369.658 * * [simplify]: Extracting #5: cost 163 inf + 386 369.661 * * [simplify]: Extracting #6: cost 107 inf + 10587 369.665 * * [simplify]: Extracting #7: cost 55 inf + 24897 369.680 * * [simplify]: Extracting #8: cost 16 inf + 53423 369.700 * * [simplify]: Extracting #9: cost 0 inf + 68195 369.720 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 369.720 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 369.721 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 369.721 * * [simplify]: iters left: 6 (16 enodes) 369.730 * * [simplify]: iters left: 5 (65 enodes) 369.752 * * [simplify]: iters left: 4 (104 enodes) 369.783 * * [simplify]: iters left: 3 (144 enodes) 369.815 * * [simplify]: iters left: 2 (224 enodes) 369.888 * * [simplify]: iters left: 1 (402 enodes) 370.090 * * [simplify]: Extracting #0: cost 1 inf + 0 370.090 * * [simplify]: Extracting #1: cost 8 inf + 0 370.090 * * [simplify]: Extracting #2: cost 17 inf + 0 370.090 * * [simplify]: Extracting #3: cost 51 inf + 0 370.091 * * [simplify]: Extracting #4: cost 140 inf + 2 370.092 * * [simplify]: Extracting #5: cost 159 inf + 2119 370.094 * * [simplify]: Extracting #6: cost 103 inf + 12333 370.107 * * [simplify]: Extracting #7: cost 32 inf + 47818 370.129 * * [simplify]: Extracting #8: cost 2 inf + 73860 370.157 * * [simplify]: Extracting #9: cost 0 inf + 75211 370.180 * * [simplify]: Extracting #10: cost 0 inf + 73065 370.203 * * [simplify]: Extracting #11: cost 0 inf + 72894 370.227 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 370.227 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 370.227 * * * * [progress]: [ 416 / 675 ] simplifiying candidate # 370.227 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt 1))) 370.227 * * [simplify]: iters left: 6 (15 enodes) 370.240 * * [simplify]: iters left: 5 (60 enodes) 370.257 * * [simplify]: iters left: 4 (94 enodes) 370.284 * * [simplify]: iters left: 3 (137 enodes) 370.329 * * [simplify]: iters left: 2 (222 enodes) 370.377 * * [simplify]: iters left: 1 (404 enodes) 370.601 * * [simplify]: Extracting #0: cost 1 inf + 0 370.601 * * [simplify]: Extracting #1: cost 5 inf + 0 370.601 * * [simplify]: Extracting #2: cost 36 inf + 1 370.602 * * [simplify]: Extracting #3: cost 127 inf + 2 370.602 * * [simplify]: Extracting #4: cost 170 inf + 219 370.603 * * [simplify]: Extracting #5: cost 148 inf + 3299 370.607 * * [simplify]: Extracting #6: cost 64 inf + 19852 370.614 * * [simplify]: Extracting #7: cost 15 inf + 53829 370.624 * * [simplify]: Extracting #8: cost 0 inf + 69382 370.637 * * [simplify]: Extracting #9: cost 0 inf + 69001 370.652 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 370.652 * [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 (sqrt k))) (sqrt (sqrt k))))) 370.653 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 370.653 * * [simplify]: iters left: 6 (15 enodes) 370.661 * * [simplify]: iters left: 5 (62 enodes) 370.679 * * [simplify]: iters left: 4 (96 enodes) 370.693 * * [simplify]: iters left: 3 (135 enodes) 370.715 * * [simplify]: iters left: 2 (215 enodes) 370.777 * * [simplify]: iters left: 1 (394 enodes) 370.931 * * [simplify]: Extracting #0: cost 1 inf + 0 370.931 * * [simplify]: Extracting #1: cost 6 inf + 0 370.931 * * [simplify]: Extracting #2: cost 13 inf + 0 370.931 * * [simplify]: Extracting #3: cost 42 inf + 42 370.932 * * [simplify]: Extracting #4: cost 125 inf + 246 370.934 * * [simplify]: Extracting #5: cost 162 inf + 1015 370.938 * * [simplify]: Extracting #6: cost 106 inf + 10801 370.949 * * [simplify]: Extracting #7: cost 41 inf + 33153 370.971 * * [simplify]: Extracting #8: cost 0 inf + 67543 370.991 * * [simplify]: Extracting #9: cost 0 inf + 63859 371.012 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 371.012 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt 1))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 371.012 * * * * [progress]: [ 417 / 675 ] simplifiying candidate # 371.013 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) 371.013 * * [simplify]: iters left: 6 (16 enodes) 371.022 * * [simplify]: iters left: 5 (63 enodes) 371.040 * * [simplify]: iters left: 4 (99 enodes) 371.060 * * [simplify]: iters left: 3 (143 enodes) 371.101 * * [simplify]: iters left: 2 (224 enodes) 371.159 * * [simplify]: iters left: 1 (400 enodes) 371.330 * * [simplify]: Extracting #0: cost 1 inf + 0 371.330 * * [simplify]: Extracting #1: cost 5 inf + 0 371.330 * * [simplify]: Extracting #2: cost 9 inf + 1 371.330 * * [simplify]: Extracting #3: cost 42 inf + 1 371.331 * * [simplify]: Extracting #4: cost 131 inf + 2 371.332 * * [simplify]: Extracting #5: cost 163 inf + 386 371.337 * * [simplify]: Extracting #6: cost 107 inf + 10587 371.346 * * [simplify]: Extracting #7: cost 55 inf + 24897 371.361 * * [simplify]: Extracting #8: cost 16 inf + 53423 371.384 * * [simplify]: Extracting #9: cost 0 inf + 68195 371.394 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 371.394 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 371.394 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 371.394 * * [simplify]: iters left: 6 (16 enodes) 371.399 * * [simplify]: iters left: 5 (65 enodes) 371.409 * * [simplify]: iters left: 4 (104 enodes) 371.430 * * [simplify]: iters left: 3 (144 enodes) 371.462 * * [simplify]: iters left: 2 (224 enodes) 371.541 * * [simplify]: iters left: 1 (402 enodes) 371.689 * * [simplify]: Extracting #0: cost 1 inf + 0 371.689 * * [simplify]: Extracting #1: cost 8 inf + 0 371.689 * * [simplify]: Extracting #2: cost 17 inf + 0 371.689 * * [simplify]: Extracting #3: cost 51 inf + 0 371.689 * * [simplify]: Extracting #4: cost 140 inf + 2 371.690 * * [simplify]: Extracting #5: cost 159 inf + 2119 371.693 * * [simplify]: Extracting #6: cost 103 inf + 12333 371.701 * * [simplify]: Extracting #7: cost 32 inf + 47818 371.723 * * [simplify]: Extracting #8: cost 2 inf + 73860 371.746 * * [simplify]: Extracting #9: cost 0 inf + 75211 371.769 * * [simplify]: Extracting #10: cost 0 inf + 73065 371.796 * * [simplify]: Extracting #11: cost 0 inf + 72894 371.815 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 371.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 371.815 * * * * [progress]: [ 418 / 675 ] simplifiying candidate # 371.815 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt 1)) 371.816 * * [simplify]: iters left: 6 (14 enodes) 371.821 * * [simplify]: iters left: 5 (57 enodes) 371.830 * * [simplify]: iters left: 4 (91 enodes) 371.845 * * [simplify]: iters left: 3 (129 enodes) 371.871 * * [simplify]: iters left: 2 (209 enodes) 371.929 * * [simplify]: iters left: 1 (391 enodes) 372.122 * * [simplify]: Extracting #0: cost 1 inf + 0 372.122 * * [simplify]: Extracting #1: cost 5 inf + 0 372.122 * * [simplify]: Extracting #2: cost 38 inf + 1 372.123 * * [simplify]: Extracting #3: cost 125 inf + 2 372.123 * * [simplify]: Extracting #4: cost 162 inf + 219 372.124 * * [simplify]: Extracting #5: cost 158 inf + 686 372.126 * * [simplify]: Extracting #6: cost 90 inf + 11325 372.132 * * [simplify]: Extracting #7: cost 30 inf + 42114 372.142 * * [simplify]: Extracting #8: cost 0 inf + 69873 372.152 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 372.152 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 372.152 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 372.152 * * [simplify]: iters left: 6 (15 enodes) 372.156 * * [simplify]: iters left: 5 (62 enodes) 372.167 * * [simplify]: iters left: 4 (96 enodes) 372.181 * * [simplify]: iters left: 3 (135 enodes) 372.213 * * [simplify]: iters left: 2 (215 enodes) 372.265 * * [simplify]: iters left: 1 (394 enodes) 372.410 * * [simplify]: Extracting #0: cost 1 inf + 0 372.410 * * [simplify]: Extracting #1: cost 6 inf + 0 372.410 * * [simplify]: Extracting #2: cost 13 inf + 0 372.411 * * [simplify]: Extracting #3: cost 42 inf + 42 372.411 * * [simplify]: Extracting #4: cost 125 inf + 246 372.412 * * [simplify]: Extracting #5: cost 162 inf + 1015 372.414 * * [simplify]: Extracting #6: cost 106 inf + 10801 372.419 * * [simplify]: Extracting #7: cost 41 inf + 33153 372.438 * * [simplify]: Extracting #8: cost 0 inf + 67543 372.452 * * [simplify]: Extracting #9: cost 0 inf + 63859 372.466 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 372.467 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 372.467 * * * * [progress]: [ 419 / 675 ] simplifiying candidate # 372.467 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) 372.467 * * [simplify]: iters left: 6 (16 enodes) 372.472 * * [simplify]: iters left: 5 (63 enodes) 372.486 * * [simplify]: iters left: 4 (99 enodes) 372.512 * * [simplify]: iters left: 3 (143 enodes) 372.537 * * [simplify]: iters left: 2 (224 enodes) 372.586 * * [simplify]: iters left: 1 (400 enodes) 372.735 * * [simplify]: Extracting #0: cost 1 inf + 0 372.735 * * [simplify]: Extracting #1: cost 5 inf + 0 372.735 * * [simplify]: Extracting #2: cost 9 inf + 1 372.735 * * [simplify]: Extracting #3: cost 42 inf + 1 372.736 * * [simplify]: Extracting #4: cost 131 inf + 2 372.736 * * [simplify]: Extracting #5: cost 163 inf + 386 372.739 * * [simplify]: Extracting #6: cost 107 inf + 10587 372.743 * * [simplify]: Extracting #7: cost 55 inf + 24897 372.757 * * [simplify]: Extracting #8: cost 16 inf + 53423 372.777 * * [simplify]: Extracting #9: cost 0 inf + 68195 372.798 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 372.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 372.799 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 372.799 * * [simplify]: iters left: 6 (16 enodes) 372.807 * * [simplify]: iters left: 5 (65 enodes) 372.818 * * [simplify]: iters left: 4 (104 enodes) 372.834 * * [simplify]: iters left: 3 (144 enodes) 372.883 * * [simplify]: iters left: 2 (224 enodes) 372.947 * * [simplify]: iters left: 1 (402 enodes) 373.093 * * [simplify]: Extracting #0: cost 1 inf + 0 373.093 * * [simplify]: Extracting #1: cost 8 inf + 0 373.093 * * [simplify]: Extracting #2: cost 17 inf + 0 373.093 * * [simplify]: Extracting #3: cost 51 inf + 0 373.094 * * [simplify]: Extracting #4: cost 140 inf + 2 373.095 * * [simplify]: Extracting #5: cost 159 inf + 2119 373.100 * * [simplify]: Extracting #6: cost 103 inf + 12333 373.113 * * [simplify]: Extracting #7: cost 32 inf + 47818 373.135 * * [simplify]: Extracting #8: cost 2 inf + 73860 373.164 * * [simplify]: Extracting #9: cost 0 inf + 75211 373.187 * * [simplify]: Extracting #10: cost 0 inf + 73065 373.202 * * [simplify]: Extracting #11: cost 0 inf + 72894 373.213 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 373.213 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 373.214 * * * * [progress]: [ 420 / 675 ] simplifiying candidate # 373.214 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 1) 373.214 * * [simplify]: iters left: 6 (13 enodes) 373.219 * * [simplify]: iters left: 5 (50 enodes) 373.229 * * [simplify]: iters left: 4 (86 enodes) 373.255 * * [simplify]: iters left: 3 (125 enodes) 373.298 * * [simplify]: iters left: 2 (205 enodes) 373.370 * * [simplify]: iters left: 1 (387 enodes) 373.563 * * [simplify]: Extracting #0: cost 1 inf + 0 373.563 * * [simplify]: Extracting #1: cost 5 inf + 0 373.563 * * [simplify]: Extracting #2: cost 38 inf + 1 373.564 * * [simplify]: Extracting #3: cost 124 inf + 2 373.565 * * [simplify]: Extracting #4: cost 163 inf + 177 373.566 * * [simplify]: Extracting #5: cost 162 inf + 518 373.570 * * [simplify]: Extracting #6: cost 99 inf + 10268 373.582 * * [simplify]: Extracting #7: cost 36 inf + 36439 373.600 * * [simplify]: Extracting #8: cost 0 inf + 66860 373.610 * * [simplify]: Extracting #9: cost 0 inf + 66485 373.621 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 373.621 * [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 (sqrt k))) (sqrt (sqrt k))))) 373.621 * [simplify]: Simplifying (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 373.621 * * [simplify]: iters left: 6 (15 enodes) 373.628 * * [simplify]: iters left: 5 (62 enodes) 373.646 * * [simplify]: iters left: 4 (96 enodes) 373.675 * * [simplify]: iters left: 3 (135 enodes) 373.717 * * [simplify]: iters left: 2 (215 enodes) 373.773 * * [simplify]: iters left: 1 (394 enodes) 373.915 * * [simplify]: Extracting #0: cost 1 inf + 0 373.915 * * [simplify]: Extracting #1: cost 6 inf + 0 373.918 * * [simplify]: Extracting #2: cost 13 inf + 0 373.918 * * [simplify]: Extracting #3: cost 42 inf + 42 373.919 * * [simplify]: Extracting #4: cost 125 inf + 246 373.919 * * [simplify]: Extracting #5: cost 162 inf + 1015 373.922 * * [simplify]: Extracting #6: cost 106 inf + 10801 373.927 * * [simplify]: Extracting #7: cost 41 inf + 33153 373.937 * * [simplify]: Extracting #8: cost 0 inf + 67543 373.948 * * [simplify]: Extracting #9: cost 0 inf + 63859 373.965 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 373.966 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 373.966 * * * * [progress]: [ 421 / 675 ] simplifiying candidate # 373.966 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 373.966 * * [simplify]: iters left: 6 (8 enodes) 373.971 * * [simplify]: iters left: 5 (32 enodes) 373.981 * * [simplify]: iters left: 4 (47 enodes) 373.995 * * [simplify]: iters left: 3 (51 enodes) 374.010 * * [simplify]: iters left: 2 (61 enodes) 374.028 * * [simplify]: iters left: 1 (81 enodes) 374.059 * * [simplify]: Extracting #0: cost 1 inf + 0 374.059 * * [simplify]: Extracting #1: cost 10 inf + 0 374.060 * * [simplify]: Extracting #2: cost 27 inf + 1 374.060 * * [simplify]: Extracting #3: cost 37 inf + 3 374.060 * * [simplify]: Extracting #4: cost 33 inf + 8 374.060 * * [simplify]: Extracting #5: cost 20 inf + 2757 374.062 * * [simplify]: Extracting #6: cost 1 inf + 8704 374.064 * * [simplify]: Extracting #7: cost 0 inf + 9076 374.066 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 374.066 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 374.066 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 374.066 * * [simplify]: iters left: 6 (15 enodes) 374.074 * * [simplify]: iters left: 5 (62 enodes) 374.094 * * [simplify]: iters left: 4 (103 enodes) 374.125 * * [simplify]: iters left: 3 (161 enodes) 374.183 * * [simplify]: iters left: 2 (296 enodes) 374.261 * * [simplify]: Extracting #0: cost 1 inf + 0 374.261 * * [simplify]: Extracting #1: cost 57 inf + 0 374.262 * * [simplify]: Extracting #2: cost 153 inf + 0 374.263 * * [simplify]: Extracting #3: cost 218 inf + 2 374.263 * * [simplify]: Extracting #4: cost 226 inf + 221 374.265 * * [simplify]: Extracting #5: cost 194 inf + 9476 374.269 * * [simplify]: Extracting #6: cost 121 inf + 33828 374.287 * * [simplify]: Extracting #7: cost 30 inf + 102863 374.321 * * [simplify]: Extracting #8: cost 0 inf + 126769 374.354 * * [simplify]: Extracting #9: cost 0 inf + 126307 374.379 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 374.379 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 374.379 * * * * [progress]: [ 422 / 675 ] simplifiying candidate # 374.380 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 374.380 * * [simplify]: iters left: 6 (11 enodes) 374.382 * * [simplify]: iters left: 5 (40 enodes) 374.389 * * [simplify]: iters left: 4 (52 enodes) 374.398 * * [simplify]: iters left: 3 (64 enodes) 374.407 * * [simplify]: iters left: 2 (66 enodes) 374.415 * * [simplify]: Extracting #0: cost 1 inf + 0 374.415 * * [simplify]: Extracting #1: cost 12 inf + 0 374.415 * * [simplify]: Extracting #2: cost 23 inf + 1 374.415 * * [simplify]: Extracting #3: cost 27 inf + 1 374.415 * * [simplify]: Extracting #4: cost 29 inf + 1 374.415 * * [simplify]: Extracting #5: cost 28 inf + 2 374.415 * * [simplify]: Extracting #6: cost 16 inf + 1494 374.416 * * [simplify]: Extracting #7: cost 2 inf + 5277 374.417 * * [simplify]: Extracting #8: cost 0 inf + 6040 374.417 * [simplify]: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) 374.417 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 374.418 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 374.418 * * [simplify]: iters left: 6 (17 enodes) 374.422 * * [simplify]: iters left: 5 (68 enodes) 374.434 * * [simplify]: iters left: 4 (113 enodes) 374.454 * * [simplify]: iters left: 3 (186 enodes) 374.522 * * [simplify]: iters left: 2 (369 enodes) 374.661 * * [simplify]: Extracting #0: cost 1 inf + 0 374.661 * * [simplify]: Extracting #1: cost 89 inf + 0 374.662 * * [simplify]: Extracting #2: cost 242 inf + 0 374.663 * * [simplify]: Extracting #3: cost 315 inf + 2 374.664 * * [simplify]: Extracting #4: cost 324 inf + 262 374.666 * * [simplify]: Extracting #5: cost 299 inf + 3415 374.673 * * [simplify]: Extracting #6: cost 241 inf + 19623 374.703 * * [simplify]: Extracting #7: cost 76 inf + 133879 374.728 * * [simplify]: Extracting #8: cost 0 inf + 203744 374.760 * * [simplify]: Extracting #9: cost 0 inf + 203111 374.806 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 374.806 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 374.806 * * * * [progress]: [ 423 / 675 ] simplifiying candidate # 374.808 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 374.808 * * [simplify]: iters left: 6 (12 enodes) 374.814 * * [simplify]: iters left: 5 (43 enodes) 374.827 * * [simplify]: iters left: 4 (55 enodes) 374.835 * * [simplify]: iters left: 3 (67 enodes) 374.845 * * [simplify]: iters left: 2 (69 enodes) 374.854 * * [simplify]: Extracting #0: cost 1 inf + 0 374.854 * * [simplify]: Extracting #1: cost 12 inf + 0 374.854 * * [simplify]: Extracting #2: cost 22 inf + 1 374.854 * * [simplify]: Extracting #3: cost 27 inf + 1 374.854 * * [simplify]: Extracting #4: cost 31 inf + 1 374.854 * * [simplify]: Extracting #5: cost 30 inf + 2 374.855 * * [simplify]: Extracting #6: cost 21 inf + 1011 374.856 * * [simplify]: Extracting #7: cost 4 inf + 5075 374.857 * * [simplify]: Extracting #8: cost 0 inf + 6442 374.859 * [simplify]: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) 374.859 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 374.859 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 374.860 * * [simplify]: iters left: 6 (18 enodes) 374.869 * * [simplify]: iters left: 5 (71 enodes) 374.892 * * [simplify]: iters left: 4 (116 enodes) 374.922 * * [simplify]: iters left: 3 (185 enodes) 374.969 * * [simplify]: iters left: 2 (363 enodes) 375.142 * * [simplify]: Extracting #0: cost 1 inf + 0 375.142 * * [simplify]: Extracting #1: cost 87 inf + 0 375.143 * * [simplify]: Extracting #2: cost 239 inf + 0 375.144 * * [simplify]: Extracting #3: cost 315 inf + 2 375.145 * * [simplify]: Extracting #4: cost 324 inf + 262 375.147 * * [simplify]: Extracting #5: cost 297 inf + 3530 375.154 * * [simplify]: Extracting #6: cost 236 inf + 20857 375.168 * * [simplify]: Extracting #7: cost 140 inf + 85835 375.192 * * [simplify]: Extracting #8: cost 29 inf + 183119 375.236 * * [simplify]: Extracting #9: cost 0 inf + 208502 375.266 * * [simplify]: Extracting #10: cost 0 inf + 208291 375.309 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 375.309 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 375.309 * * * * [progress]: [ 424 / 675 ] simplifiying candidate # 375.309 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 375.310 * * [simplify]: iters left: 6 (9 enodes) 375.312 * * [simplify]: iters left: 5 (33 enodes) 375.317 * * [simplify]: iters left: 4 (45 enodes) 375.324 * * [simplify]: iters left: 3 (57 enodes) 375.338 * * [simplify]: iters left: 2 (59 enodes) 375.353 * * [simplify]: Extracting #0: cost 1 inf + 0 375.353 * * [simplify]: Extracting #1: cost 12 inf + 0 375.353 * * [simplify]: Extracting #2: cost 21 inf + 1 375.353 * * [simplify]: Extracting #3: cost 23 inf + 1 375.354 * * [simplify]: Extracting #4: cost 25 inf + 1 375.354 * * [simplify]: Extracting #5: cost 24 inf + 2 375.354 * * [simplify]: Extracting #6: cost 14 inf + 1534 375.355 * * [simplify]: Extracting #7: cost 1 inf + 4435 375.357 * * [simplify]: Extracting #8: cost 0 inf + 4676 375.358 * [simplify]: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 375.358 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 375.359 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 375.359 * * [simplify]: iters left: 6 (16 enodes) 375.368 * * [simplify]: iters left: 5 (65 enodes) 375.389 * * [simplify]: iters left: 4 (110 enodes) 375.426 * * [simplify]: iters left: 3 (184 enodes) 375.486 * * [simplify]: iters left: 2 (367 enodes) 375.642 * * [simplify]: Extracting #0: cost 1 inf + 0 375.642 * * [simplify]: Extracting #1: cost 86 inf + 0 375.643 * * [simplify]: Extracting #2: cost 238 inf + 0 375.645 * * [simplify]: Extracting #3: cost 310 inf + 2 375.648 * * [simplify]: Extracting #4: cost 320 inf + 179 375.651 * * [simplify]: Extracting #5: cost 293 inf + 2834 375.657 * * [simplify]: Extracting #6: cost 243 inf + 15192 375.678 * * [simplify]: Extracting #7: cost 114 inf + 95601 375.726 * * [simplify]: Extracting #8: cost 10 inf + 185026 375.765 * * [simplify]: Extracting #9: cost 0 inf + 193211 375.794 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 375.794 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 375.794 * * * * [progress]: [ 425 / 675 ] simplifiying candidate # 375.794 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 375.794 * * [simplify]: iters left: 6 (10 enodes) 375.799 * * [simplify]: iters left: 5 (36 enodes) 375.805 * * [simplify]: iters left: 4 (44 enodes) 375.810 * * [simplify]: iters left: 3 (46 enodes) 375.816 * * [simplify]: iters left: 2 (52 enodes) 375.822 * * [simplify]: Extracting #0: cost 1 inf + 0 375.822 * * [simplify]: Extracting #1: cost 6 inf + 0 375.822 * * [simplify]: Extracting #2: cost 9 inf + 1 375.822 * * [simplify]: Extracting #3: cost 11 inf + 1 375.822 * * [simplify]: Extracting #4: cost 13 inf + 1 375.822 * * [simplify]: Extracting #5: cost 12 inf + 2 375.822 * * [simplify]: Extracting #6: cost 8 inf + 246 375.823 * * [simplify]: Extracting #7: cost 3 inf + 1172 375.823 * * [simplify]: Extracting #8: cost 0 inf + 1858 375.823 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 375.823 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 375.823 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 375.824 * * [simplify]: iters left: 6 (15 enodes) 375.828 * * [simplify]: iters left: 5 (62 enodes) 375.839 * * [simplify]: iters left: 4 (107 enodes) 375.862 * * [simplify]: iters left: 3 (177 enodes) 375.894 * * [simplify]: iters left: 2 (355 enodes) 376.027 * * [simplify]: Extracting #0: cost 1 inf + 0 376.027 * * [simplify]: Extracting #1: cost 88 inf + 0 376.029 * * [simplify]: Extracting #2: cost 238 inf + 0 376.031 * * [simplify]: Extracting #3: cost 310 inf + 2 376.038 * * [simplify]: Extracting #4: cost 300 inf + 2612 376.045 * * [simplify]: Extracting #5: cost 245 inf + 15121 376.062 * * [simplify]: Extracting #6: cost 67 inf + 137747 376.092 * * [simplify]: Extracting #7: cost 0 inf + 191131 376.128 * * [simplify]: Extracting #8: cost 0 inf + 189450 376.158 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 376.158 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 376.158 * * * * [progress]: [ 426 / 675 ] simplifiying candidate # 376.158 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 376.159 * * [simplify]: iters left: 6 (9 enodes) 376.161 * * [simplify]: iters left: 5 (33 enodes) 376.166 * * [simplify]: iters left: 4 (45 enodes) 376.173 * * [simplify]: iters left: 3 (57 enodes) 376.181 * * [simplify]: iters left: 2 (59 enodes) 376.195 * * [simplify]: Extracting #0: cost 1 inf + 0 376.195 * * [simplify]: Extracting #1: cost 12 inf + 0 376.195 * * [simplify]: Extracting #2: cost 21 inf + 1 376.195 * * [simplify]: Extracting #3: cost 23 inf + 1 376.195 * * [simplify]: Extracting #4: cost 25 inf + 1 376.195 * * [simplify]: Extracting #5: cost 24 inf + 2 376.195 * * [simplify]: Extracting #6: cost 14 inf + 1534 376.197 * * [simplify]: Extracting #7: cost 1 inf + 4435 376.198 * * [simplify]: Extracting #8: cost 0 inf + 4676 376.199 * [simplify]: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 376.199 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 376.200 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 376.200 * * [simplify]: iters left: 6 (16 enodes) 376.208 * * [simplify]: iters left: 5 (65 enodes) 376.229 * * [simplify]: iters left: 4 (110 enodes) 376.255 * * [simplify]: iters left: 3 (184 enodes) 376.288 * * [simplify]: iters left: 2 (367 enodes) 376.414 * * [simplify]: Extracting #0: cost 1 inf + 0 376.414 * * [simplify]: Extracting #1: cost 86 inf + 0 376.415 * * [simplify]: Extracting #2: cost 238 inf + 0 376.416 * * [simplify]: Extracting #3: cost 310 inf + 2 376.418 * * [simplify]: Extracting #4: cost 320 inf + 179 376.420 * * [simplify]: Extracting #5: cost 293 inf + 2834 376.427 * * [simplify]: Extracting #6: cost 243 inf + 15192 376.438 * * [simplify]: Extracting #7: cost 114 inf + 95601 376.482 * * [simplify]: Extracting #8: cost 10 inf + 185026 376.535 * * [simplify]: Extracting #9: cost 0 inf + 193211 376.584 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 376.584 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 376.584 * * * * [progress]: [ 427 / 675 ] simplifiying candidate # 376.585 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 376.585 * * [simplify]: iters left: 6 (9 enodes) 376.588 * * [simplify]: iters left: 5 (33 enodes) 376.594 * * [simplify]: iters left: 4 (41 enodes) 376.600 * * [simplify]: iters left: 3 (43 enodes) 376.610 * * [simplify]: iters left: 2 (49 enodes) 376.620 * * [simplify]: Extracting #0: cost 1 inf + 0 376.620 * * [simplify]: Extracting #1: cost 6 inf + 0 376.620 * * [simplify]: Extracting #2: cost 9 inf + 1 376.620 * * [simplify]: Extracting #3: cost 11 inf + 1 376.620 * * [simplify]: Extracting #4: cost 13 inf + 1 376.621 * * [simplify]: Extracting #5: cost 12 inf + 2 376.621 * * [simplify]: Extracting #6: cost 10 inf + 124 376.621 * * [simplify]: Extracting #7: cost 4 inf + 971 376.621 * * [simplify]: Extracting #8: cost 0 inf + 1858 376.622 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 376.622 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 376.622 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 376.623 * * [simplify]: iters left: 6 (15 enodes) 376.631 * * [simplify]: iters left: 5 (62 enodes) 376.644 * * [simplify]: iters left: 4 (107 enodes) 376.664 * * [simplify]: iters left: 3 (177 enodes) 376.730 * * [simplify]: iters left: 2 (355 enodes) 376.863 * * [simplify]: Extracting #0: cost 1 inf + 0 376.864 * * [simplify]: Extracting #1: cost 88 inf + 0 376.865 * * [simplify]: Extracting #2: cost 238 inf + 0 376.868 * * [simplify]: Extracting #3: cost 310 inf + 2 376.871 * * [simplify]: Extracting #4: cost 300 inf + 2612 376.876 * * [simplify]: Extracting #5: cost 245 inf + 15121 376.906 * * [simplify]: Extracting #6: cost 67 inf + 137747 376.947 * * [simplify]: Extracting #7: cost 0 inf + 191131 376.971 * * [simplify]: Extracting #8: cost 0 inf + 189450 377.001 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 377.002 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 377.002 * * * * [progress]: [ 428 / 675 ] simplifiying candidate # 377.002 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 377.002 * * [simplify]: iters left: 6 (9 enodes) 377.007 * * [simplify]: iters left: 5 (33 enodes) 377.017 * * [simplify]: iters left: 4 (45 enodes) 377.032 * * [simplify]: iters left: 3 (57 enodes) 377.049 * * [simplify]: iters left: 2 (59 enodes) 377.064 * * [simplify]: Extracting #0: cost 1 inf + 0 377.064 * * [simplify]: Extracting #1: cost 12 inf + 0 377.064 * * [simplify]: Extracting #2: cost 21 inf + 1 377.064 * * [simplify]: Extracting #3: cost 23 inf + 1 377.064 * * [simplify]: Extracting #4: cost 25 inf + 1 377.064 * * [simplify]: Extracting #5: cost 24 inf + 2 377.065 * * [simplify]: Extracting #6: cost 14 inf + 1534 377.066 * * [simplify]: Extracting #7: cost 1 inf + 4435 377.067 * * [simplify]: Extracting #8: cost 0 inf + 4676 377.068 * [simplify]: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 377.068 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 377.069 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 377.069 * * [simplify]: iters left: 6 (16 enodes) 377.077 * * [simplify]: iters left: 5 (65 enodes) 377.098 * * [simplify]: iters left: 4 (110 enodes) 377.123 * * [simplify]: iters left: 3 (184 enodes) 377.169 * * [simplify]: iters left: 2 (367 enodes) 377.291 * * [simplify]: Extracting #0: cost 1 inf + 0 377.291 * * [simplify]: Extracting #1: cost 86 inf + 0 377.293 * * [simplify]: Extracting #2: cost 238 inf + 0 377.295 * * [simplify]: Extracting #3: cost 310 inf + 2 377.297 * * [simplify]: Extracting #4: cost 320 inf + 179 377.301 * * [simplify]: Extracting #5: cost 293 inf + 2834 377.307 * * [simplify]: Extracting #6: cost 243 inf + 15192 377.329 * * [simplify]: Extracting #7: cost 114 inf + 95601 377.383 * * [simplify]: Extracting #8: cost 10 inf + 185026 377.437 * * [simplify]: Extracting #9: cost 0 inf + 193211 377.480 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 377.480 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 377.480 * * * * [progress]: [ 429 / 675 ] simplifiying candidate # 377.480 * [simplify]: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 377.480 * * [simplify]: iters left: 6 (8 enodes) 377.483 * * [simplify]: iters left: 5 (28 enodes) 377.488 * * [simplify]: iters left: 4 (38 enodes) 377.494 * * [simplify]: iters left: 3 (46 enodes) 377.502 * * [simplify]: Extracting #0: cost 1 inf + 0 377.502 * * [simplify]: Extracting #1: cost 6 inf + 0 377.502 * * [simplify]: Extracting #2: cost 9 inf + 1 377.502 * * [simplify]: Extracting #3: cost 11 inf + 1 377.502 * * [simplify]: Extracting #4: cost 13 inf + 1 377.502 * * [simplify]: Extracting #5: cost 12 inf + 2 377.502 * * [simplify]: Extracting #6: cost 9 inf + 165 377.503 * * [simplify]: Extracting #7: cost 0 inf + 1858 377.503 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 377.503 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 377.503 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 377.503 * * [simplify]: iters left: 6 (15 enodes) 377.509 * * [simplify]: iters left: 5 (62 enodes) 377.530 * * [simplify]: iters left: 4 (107 enodes) 377.564 * * [simplify]: iters left: 3 (177 enodes) 377.627 * * [simplify]: iters left: 2 (355 enodes) 377.799 * * [simplify]: Extracting #0: cost 1 inf + 0 377.799 * * [simplify]: Extracting #1: cost 88 inf + 0 377.800 * * [simplify]: Extracting #2: cost 238 inf + 0 377.800 * * [simplify]: Extracting #3: cost 310 inf + 2 377.802 * * [simplify]: Extracting #4: cost 300 inf + 2612 377.805 * * [simplify]: Extracting #5: cost 245 inf + 15121 377.824 * * [simplify]: Extracting #6: cost 67 inf + 137747 377.853 * * [simplify]: Extracting #7: cost 0 inf + 191131 377.896 * * [simplify]: Extracting #8: cost 0 inf + 189450 377.920 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 377.920 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 377.920 * * * * [progress]: [ 430 / 675 ] simplifiying candidate # 377.921 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 377.921 * * [simplify]: iters left: 6 (11 enodes) 377.923 * * [simplify]: iters left: 5 (40 enodes) 377.929 * * [simplify]: iters left: 4 (52 enodes) 377.937 * * [simplify]: iters left: 3 (61 enodes) 377.945 * * [simplify]: iters left: 2 (64 enodes) 377.961 * * [simplify]: Extracting #0: cost 1 inf + 0 377.962 * * [simplify]: Extracting #1: cost 10 inf + 0 377.962 * * [simplify]: Extracting #2: cost 21 inf + 1 377.962 * * [simplify]: Extracting #3: cost 27 inf + 1 377.962 * * [simplify]: Extracting #4: cost 29 inf + 1 377.962 * * [simplify]: Extracting #5: cost 28 inf + 2 377.962 * * [simplify]: Extracting #6: cost 15 inf + 1696 377.963 * * [simplify]: Extracting #7: cost 2 inf + 5277 377.967 * * [simplify]: Extracting #8: cost 0 inf + 6040 377.969 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 377.969 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 377.969 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 377.969 * * [simplify]: iters left: 6 (17 enodes) 377.978 * * [simplify]: iters left: 5 (68 enodes) 378.001 * * [simplify]: iters left: 4 (113 enodes) 378.022 * * [simplify]: iters left: 3 (186 enodes) 378.076 * * [simplify]: iters left: 2 (369 enodes) 378.235 * * [simplify]: Extracting #0: cost 1 inf + 0 378.236 * * [simplify]: Extracting #1: cost 89 inf + 0 378.237 * * [simplify]: Extracting #2: cost 242 inf + 0 378.239 * * [simplify]: Extracting #3: cost 315 inf + 2 378.242 * * [simplify]: Extracting #4: cost 324 inf + 262 378.245 * * [simplify]: Extracting #5: cost 299 inf + 3375 378.252 * * [simplify]: Extracting #6: cost 241 inf + 19583 378.275 * * [simplify]: Extracting #7: cost 76 inf + 133879 378.310 * * [simplify]: Extracting #8: cost 0 inf + 203744 378.361 * * [simplify]: Extracting #9: cost 0 inf + 203111 378.388 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 378.388 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 378.388 * * * * [progress]: [ 431 / 675 ] simplifiying candidate # 378.389 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 378.389 * * [simplify]: iters left: 6 (8 enodes) 378.393 * * [simplify]: iters left: 5 (29 enodes) 378.402 * * [simplify]: iters left: 4 (31 enodes) 378.411 * * [simplify]: Extracting #0: cost 1 inf + 0 378.411 * * [simplify]: Extracting #1: cost 6 inf + 0 378.411 * * [simplify]: Extracting #2: cost 9 inf + 1 378.411 * * [simplify]: Extracting #3: cost 11 inf + 1 378.411 * * [simplify]: Extracting #4: cost 13 inf + 1 378.412 * * [simplify]: Extracting #5: cost 12 inf + 2 378.412 * * [simplify]: Extracting #6: cost 8 inf + 366 378.412 * * [simplify]: Extracting #7: cost 2 inf + 1415 378.413 * * [simplify]: Extracting #8: cost 0 inf + 1778 378.413 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 378.413 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 378.413 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 378.414 * * [simplify]: iters left: 6 (15 enodes) 378.422 * * [simplify]: iters left: 5 (62 enodes) 378.443 * * [simplify]: iters left: 4 (99 enodes) 378.478 * * [simplify]: iters left: 3 (152 enodes) 378.529 * * [simplify]: iters left: 2 (268 enodes) 378.620 * * [simplify]: Extracting #0: cost 1 inf + 0 378.620 * * [simplify]: Extracting #1: cost 50 inf + 0 378.620 * * [simplify]: Extracting #2: cost 130 inf + 0 378.621 * * [simplify]: Extracting #3: cost 193 inf + 2 378.622 * * [simplify]: Extracting #4: cost 178 inf + 3404 378.624 * * [simplify]: Extracting #5: cost 123 inf + 16528 378.633 * * [simplify]: Extracting #6: cost 28 inf + 81781 378.650 * * [simplify]: Extracting #7: cost 2 inf + 103447 378.679 * * [simplify]: Extracting #8: cost 0 inf + 104709 378.710 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 378.710 * [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))))) 378.710 * * * * [progress]: [ 432 / 675 ] simplifiying candidate # 378.711 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 378.711 * * [simplify]: iters left: 6 (12 enodes) 378.716 * * [simplify]: iters left: 5 (42 enodes) 378.729 * * [simplify]: iters left: 4 (49 enodes) 378.741 * * [simplify]: iters left: 3 (51 enodes) 378.747 * * [simplify]: Extracting #0: cost 1 inf + 0 378.747 * * [simplify]: Extracting #1: cost 8 inf + 0 378.747 * * [simplify]: Extracting #2: cost 15 inf + 1 378.747 * * [simplify]: Extracting #3: cost 21 inf + 1 378.748 * * [simplify]: Extracting #4: cost 25 inf + 1 378.748 * * [simplify]: Extracting #5: cost 24 inf + 2 378.748 * * [simplify]: Extracting #6: cost 12 inf + 1334 378.748 * * [simplify]: Extracting #7: cost 3 inf + 3548 378.749 * * [simplify]: Extracting #8: cost 0 inf + 4272 378.749 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 378.749 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 378.749 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 378.749 * * [simplify]: iters left: 6 (18 enodes) 378.754 * * [simplify]: iters left: 5 (71 enodes) 378.765 * * [simplify]: iters left: 4 (116 enodes) 378.783 * * [simplify]: iters left: 3 (185 enodes) 378.819 * * [simplify]: iters left: 2 (363 enodes) 378.963 * * [simplify]: Extracting #0: cost 1 inf + 0 378.963 * * [simplify]: Extracting #1: cost 87 inf + 0 378.965 * * [simplify]: Extracting #2: cost 239 inf + 0 378.966 * * [simplify]: Extracting #3: cost 315 inf + 2 378.969 * * [simplify]: Extracting #4: cost 324 inf + 262 378.972 * * [simplify]: Extracting #5: cost 297 inf + 3570 378.979 * * [simplify]: Extracting #6: cost 236 inf + 20937 379.002 * * [simplify]: Extracting #7: cost 140 inf + 85915 379.044 * * [simplify]: Extracting #8: cost 29 inf + 183199 379.097 * * [simplify]: Extracting #9: cost 0 inf + 208582 379.152 * * [simplify]: Extracting #10: cost 0 inf + 208371 379.207 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 379.207 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 379.208 * * * * [progress]: [ 433 / 675 ] simplifiying candidate # 379.208 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 379.208 * * [simplify]: iters left: 6 (10 enodes) 379.213 * * [simplify]: iters left: 5 (35 enodes) 379.223 * * [simplify]: iters left: 4 (42 enodes) 379.235 * * [simplify]: iters left: 3 (44 enodes) 379.247 * * [simplify]: Extracting #0: cost 1 inf + 0 379.247 * * [simplify]: Extracting #1: cost 8 inf + 0 379.247 * * [simplify]: Extracting #2: cost 15 inf + 1 379.247 * * [simplify]: Extracting #3: cost 19 inf + 1 379.247 * * [simplify]: Extracting #4: cost 21 inf + 1 379.247 * * [simplify]: Extracting #5: cost 20 inf + 2 379.247 * * [simplify]: Extracting #6: cost 17 inf + 245 379.248 * * [simplify]: Extracting #7: cost 5 inf + 2259 379.249 * * [simplify]: Extracting #8: cost 0 inf + 3308 379.250 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 379.250 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 379.250 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 379.250 * * [simplify]: iters left: 6 (17 enodes) 379.260 * * [simplify]: iters left: 5 (68 enodes) 379.282 * * [simplify]: iters left: 4 (113 enodes) 379.301 * * [simplify]: iters left: 3 (186 enodes) 379.362 * * [simplify]: iters left: 2 (369 enodes) 379.525 * * [simplify]: Extracting #0: cost 1 inf + 0 379.525 * * [simplify]: Extracting #1: cost 89 inf + 0 379.527 * * [simplify]: Extracting #2: cost 242 inf + 0 379.529 * * [simplify]: Extracting #3: cost 315 inf + 2 379.531 * * [simplify]: Extracting #4: cost 324 inf + 262 379.535 * * [simplify]: Extracting #5: cost 299 inf + 3375 379.546 * * [simplify]: Extracting #6: cost 241 inf + 19343 379.574 * * [simplify]: Extracting #7: cost 76 inf + 130639 379.601 * * [simplify]: Extracting #8: cost 0 inf + 198704 379.641 * * [simplify]: Extracting #9: cost 0 inf + 198071 379.673 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 379.673 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 379.673 * * * * [progress]: [ 434 / 675 ] simplifiying candidate # 379.674 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 379.674 * * [simplify]: iters left: 6 (10 enodes) 379.678 * * [simplify]: iters left: 5 (35 enodes) 379.683 * * [simplify]: iters left: 4 (39 enodes) 379.688 * * [simplify]: iters left: 3 (43 enodes) 379.693 * * [simplify]: Extracting #0: cost 1 inf + 0 379.693 * * [simplify]: Extracting #1: cost 4 inf + 0 379.693 * * [simplify]: Extracting #2: cost 6 inf + 1 379.693 * * [simplify]: Extracting #3: cost 9 inf + 1 379.693 * * [simplify]: Extracting #4: cost 11 inf + 1 379.693 * * [simplify]: Extracting #5: cost 0 inf + 1374 379.694 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 379.694 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 379.694 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 379.694 * * [simplify]: iters left: 6 (16 enodes) 379.698 * * [simplify]: iters left: 5 (65 enodes) 379.720 * * [simplify]: iters left: 4 (110 enodes) 379.740 * * [simplify]: iters left: 3 (184 enodes) 379.778 * * [simplify]: iters left: 2 (367 enodes) 379.923 * * [simplify]: Extracting #0: cost 1 inf + 0 379.923 * * [simplify]: Extracting #1: cost 86 inf + 0 379.925 * * [simplify]: Extracting #2: cost 239 inf + 0 379.927 * * [simplify]: Extracting #3: cost 312 inf + 2 379.930 * * [simplify]: Extracting #4: cost 297 inf + 2611 379.939 * * [simplify]: Extracting #5: cost 222 inf + 28946 379.960 * * [simplify]: Extracting #6: cost 102 inf + 105358 379.987 * * [simplify]: Extracting #7: cost 10 inf + 182586 380.036 * * [simplify]: Extracting #8: cost 0 inf + 190651 380.087 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 380.087 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 380.087 * * * * [progress]: [ 435 / 675 ] simplifiying candidate # 380.088 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 380.088 * * [simplify]: iters left: 6 (10 enodes) 380.093 * * [simplify]: iters left: 5 (35 enodes) 380.107 * * [simplify]: iters left: 4 (42 enodes) 380.119 * * [simplify]: iters left: 3 (44 enodes) 380.131 * * [simplify]: Extracting #0: cost 1 inf + 0 380.131 * * [simplify]: Extracting #1: cost 8 inf + 0 380.131 * * [simplify]: Extracting #2: cost 15 inf + 1 380.131 * * [simplify]: Extracting #3: cost 19 inf + 1 380.131 * * [simplify]: Extracting #4: cost 21 inf + 1 380.132 * * [simplify]: Extracting #5: cost 20 inf + 2 380.132 * * [simplify]: Extracting #6: cost 17 inf + 245 380.132 * * [simplify]: Extracting #7: cost 5 inf + 2259 380.133 * * [simplify]: Extracting #8: cost 0 inf + 3308 380.134 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 380.134 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 380.134 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 380.135 * * [simplify]: iters left: 6 (17 enodes) 380.144 * * [simplify]: iters left: 5 (68 enodes) 380.156 * * [simplify]: iters left: 4 (113 enodes) 380.175 * * [simplify]: iters left: 3 (186 enodes) 380.228 * * [simplify]: iters left: 2 (369 enodes) 380.369 * * [simplify]: Extracting #0: cost 1 inf + 0 380.369 * * [simplify]: Extracting #1: cost 89 inf + 0 380.370 * * [simplify]: Extracting #2: cost 242 inf + 0 380.373 * * [simplify]: Extracting #3: cost 315 inf + 2 380.375 * * [simplify]: Extracting #4: cost 324 inf + 262 380.378 * * [simplify]: Extracting #5: cost 299 inf + 3375 380.385 * * [simplify]: Extracting #6: cost 241 inf + 19343 380.414 * * [simplify]: Extracting #7: cost 76 inf + 130639 380.463 * * [simplify]: Extracting #8: cost 0 inf + 198704 380.496 * * [simplify]: Extracting #9: cost 0 inf + 198071 380.542 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 380.542 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 380.542 * * * * [progress]: [ 436 / 675 ] simplifiying candidate # 380.543 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 380.543 * * [simplify]: iters left: 6 (9 enodes) 380.549 * * [simplify]: iters left: 5 (32 enodes) 380.558 * * [simplify]: iters left: 4 (36 enodes) 380.565 * * [simplify]: iters left: 3 (40 enodes) 380.572 * * [simplify]: Extracting #0: cost 1 inf + 0 380.572 * * [simplify]: Extracting #1: cost 4 inf + 0 380.572 * * [simplify]: Extracting #2: cost 6 inf + 1 380.572 * * [simplify]: Extracting #3: cost 9 inf + 1 380.572 * * [simplify]: Extracting #4: cost 11 inf + 1 380.572 * * [simplify]: Extracting #5: cost 0 inf + 1374 380.573 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 380.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 380.573 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 380.573 * * [simplify]: iters left: 6 (16 enodes) 380.578 * * [simplify]: iters left: 5 (65 enodes) 380.591 * * [simplify]: iters left: 4 (110 enodes) 380.611 * * [simplify]: iters left: 3 (184 enodes) 380.650 * * [simplify]: iters left: 2 (367 enodes) 380.772 * * [simplify]: Extracting #0: cost 1 inf + 0 380.772 * * [simplify]: Extracting #1: cost 86 inf + 0 380.773 * * [simplify]: Extracting #2: cost 239 inf + 0 380.776 * * [simplify]: Extracting #3: cost 312 inf + 2 380.779 * * [simplify]: Extracting #4: cost 297 inf + 2611 380.789 * * [simplify]: Extracting #5: cost 222 inf + 28946 380.812 * * [simplify]: Extracting #6: cost 102 inf + 105358 380.836 * * [simplify]: Extracting #7: cost 10 inf + 182586 380.884 * * [simplify]: Extracting #8: cost 0 inf + 190651 380.935 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 380.935 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 380.935 * * * * [progress]: [ 437 / 675 ] simplifiying candidate # 380.936 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 380.936 * * [simplify]: iters left: 6 (10 enodes) 380.941 * * [simplify]: iters left: 5 (35 enodes) 380.951 * * [simplify]: iters left: 4 (42 enodes) 380.957 * * [simplify]: iters left: 3 (44 enodes) 380.963 * * [simplify]: Extracting #0: cost 1 inf + 0 380.964 * * [simplify]: Extracting #1: cost 8 inf + 0 380.964 * * [simplify]: Extracting #2: cost 15 inf + 1 380.964 * * [simplify]: Extracting #3: cost 19 inf + 1 380.964 * * [simplify]: Extracting #4: cost 21 inf + 1 380.964 * * [simplify]: Extracting #5: cost 20 inf + 2 380.964 * * [simplify]: Extracting #6: cost 17 inf + 245 380.964 * * [simplify]: Extracting #7: cost 5 inf + 2259 380.965 * * [simplify]: Extracting #8: cost 0 inf + 3308 380.965 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 380.965 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 380.965 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 380.965 * * [simplify]: iters left: 6 (17 enodes) 380.970 * * [simplify]: iters left: 5 (68 enodes) 380.983 * * [simplify]: iters left: 4 (113 enodes) 381.004 * * [simplify]: iters left: 3 (186 enodes) 381.061 * * [simplify]: iters left: 2 (369 enodes) 381.169 * * [simplify]: Extracting #0: cost 1 inf + 0 381.169 * * [simplify]: Extracting #1: cost 89 inf + 0 381.171 * * [simplify]: Extracting #2: cost 242 inf + 0 381.173 * * [simplify]: Extracting #3: cost 315 inf + 2 381.175 * * [simplify]: Extracting #4: cost 324 inf + 262 381.179 * * [simplify]: Extracting #5: cost 299 inf + 3375 381.186 * * [simplify]: Extracting #6: cost 241 inf + 19343 381.215 * * [simplify]: Extracting #7: cost 76 inf + 130639 381.257 * * [simplify]: Extracting #8: cost 0 inf + 198704 381.297 * * [simplify]: Extracting #9: cost 0 inf + 198071 381.332 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 381.332 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 381.332 * * * * [progress]: [ 438 / 675 ] simplifiying candidate # 381.333 * [simplify]: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 381.333 * * [simplify]: iters left: 6 (8 enodes) 381.335 * * [simplify]: iters left: 5 (27 enodes) 381.339 * * [simplify]: iters left: 4 (32 enodes) 381.347 * * [simplify]: iters left: 3 (36 enodes) 381.355 * * [simplify]: Extracting #0: cost 1 inf + 0 381.355 * * [simplify]: Extracting #1: cost 4 inf + 0 381.355 * * [simplify]: Extracting #2: cost 6 inf + 1 381.355 * * [simplify]: Extracting #3: cost 9 inf + 1 381.355 * * [simplify]: Extracting #4: cost 11 inf + 1 381.355 * * [simplify]: Extracting #5: cost 10 inf + 2 381.356 * * [simplify]: Extracting #6: cost 2 inf + 1051 381.356 * * [simplify]: Extracting #7: cost 0 inf + 1374 381.356 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 381.356 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 381.357 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 381.357 * * [simplify]: iters left: 6 (16 enodes) 381.365 * * [simplify]: iters left: 5 (65 enodes) 381.386 * * [simplify]: iters left: 4 (110 enodes) 381.408 * * [simplify]: iters left: 3 (184 enodes) 381.454 * * [simplify]: iters left: 2 (367 enodes) 381.562 * * [simplify]: Extracting #0: cost 1 inf + 0 381.562 * * [simplify]: Extracting #1: cost 86 inf + 0 381.568 * * [simplify]: Extracting #2: cost 239 inf + 0 381.571 * * [simplify]: Extracting #3: cost 312 inf + 2 381.574 * * [simplify]: Extracting #4: cost 297 inf + 2611 381.583 * * [simplify]: Extracting #5: cost 222 inf + 28946 381.598 * * [simplify]: Extracting #6: cost 102 inf + 105358 381.634 * * [simplify]: Extracting #7: cost 10 inf + 182586 381.659 * * [simplify]: Extracting #8: cost 0 inf + 190651 381.699 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 381.699 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 381.699 * * * * [progress]: [ 439 / 675 ] simplifiying candidate # 381.699 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 381.700 * * [simplify]: iters left: 6 (12 enodes) 381.703 * * [simplify]: iters left: 5 (43 enodes) 381.709 * * [simplify]: iters left: 4 (55 enodes) 381.719 * * [simplify]: iters left: 3 (64 enodes) 381.737 * * [simplify]: iters left: 2 (67 enodes) 381.756 * * [simplify]: Extracting #0: cost 1 inf + 0 381.756 * * [simplify]: Extracting #1: cost 10 inf + 0 381.756 * * [simplify]: Extracting #2: cost 20 inf + 1 381.756 * * [simplify]: Extracting #3: cost 27 inf + 1 381.756 * * [simplify]: Extracting #4: cost 31 inf + 1 381.756 * * [simplify]: Extracting #5: cost 30 inf + 2 381.757 * * [simplify]: Extracting #6: cost 19 inf + 1693 381.758 * * [simplify]: Extracting #7: cost 2 inf + 5798 381.759 * * [simplify]: Extracting #8: cost 0 inf + 6442 381.761 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 381.761 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 381.761 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 381.762 * * [simplify]: iters left: 6 (18 enodes) 381.770 * * [simplify]: iters left: 5 (71 enodes) 381.793 * * [simplify]: iters left: 4 (116 enodes) 381.825 * * [simplify]: iters left: 3 (185 enodes) 381.865 * * [simplify]: iters left: 2 (363 enodes) 382.006 * * [simplify]: Extracting #0: cost 1 inf + 0 382.006 * * [simplify]: Extracting #1: cost 87 inf + 0 382.007 * * [simplify]: Extracting #2: cost 239 inf + 0 382.009 * * [simplify]: Extracting #3: cost 315 inf + 2 382.012 * * [simplify]: Extracting #4: cost 324 inf + 262 382.015 * * [simplify]: Extracting #5: cost 297 inf + 3570 382.022 * * [simplify]: Extracting #6: cost 236 inf + 20897 382.031 * * [simplify]: Extracting #7: cost 140 inf + 85835 382.054 * * [simplify]: Extracting #8: cost 29 inf + 183119 382.107 * * [simplify]: Extracting #9: cost 0 inf + 208502 382.164 * * [simplify]: Extracting #10: cost 0 inf + 208291 382.217 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 382.217 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 382.218 * * * * [progress]: [ 440 / 675 ] simplifiying candidate # 382.218 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 382.218 * * [simplify]: iters left: 6 (12 enodes) 382.224 * * [simplify]: iters left: 5 (42 enodes) 382.236 * * [simplify]: iters left: 4 (49 enodes) 382.246 * * [simplify]: iters left: 3 (51 enodes) 382.253 * * [simplify]: Extracting #0: cost 1 inf + 0 382.253 * * [simplify]: Extracting #1: cost 8 inf + 0 382.253 * * [simplify]: Extracting #2: cost 15 inf + 1 382.253 * * [simplify]: Extracting #3: cost 21 inf + 1 382.253 * * [simplify]: Extracting #4: cost 25 inf + 1 382.254 * * [simplify]: Extracting #5: cost 24 inf + 2 382.254 * * [simplify]: Extracting #6: cost 12 inf + 1294 382.254 * * [simplify]: Extracting #7: cost 3 inf + 3548 382.255 * * [simplify]: Extracting #8: cost 0 inf + 4272 382.255 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) 382.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 382.255 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 382.255 * * [simplify]: iters left: 6 (18 enodes) 382.260 * * [simplify]: iters left: 5 (71 enodes) 382.273 * * [simplify]: iters left: 4 (116 enodes) 382.299 * * [simplify]: iters left: 3 (185 enodes) 382.364 * * [simplify]: iters left: 2 (363 enodes) 382.522 * * [simplify]: Extracting #0: cost 1 inf + 0 382.522 * * [simplify]: Extracting #1: cost 87 inf + 0 382.522 * * [simplify]: Extracting #2: cost 239 inf + 0 382.523 * * [simplify]: Extracting #3: cost 315 inf + 2 382.524 * * [simplify]: Extracting #4: cost 324 inf + 262 382.526 * * [simplify]: Extracting #5: cost 297 inf + 3570 382.532 * * [simplify]: Extracting #6: cost 236 inf + 20937 382.550 * * [simplify]: Extracting #7: cost 140 inf + 85915 382.591 * * [simplify]: Extracting #8: cost 29 inf + 183199 382.642 * * [simplify]: Extracting #9: cost 0 inf + 208582 382.675 * * [simplify]: Extracting #10: cost 0 inf + 208371 382.730 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 382.730 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 382.730 * * * * [progress]: [ 441 / 675 ] simplifiying candidate # 382.730 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 382.730 * * [simplify]: iters left: 6 (8 enodes) 382.735 * * [simplify]: iters left: 5 (29 enodes) 382.743 * * [simplify]: iters left: 4 (31 enodes) 382.752 * * [simplify]: iters left: 3 (32 enodes) 382.761 * * [simplify]: Extracting #0: cost 1 inf + 0 382.761 * * [simplify]: Extracting #1: cost 6 inf + 0 382.761 * * [simplify]: Extracting #2: cost 10 inf + 1 382.761 * * [simplify]: Extracting #3: cost 13 inf + 1 382.761 * * [simplify]: Extracting #4: cost 12 inf + 2 382.761 * * [simplify]: Extracting #5: cost 6 inf + 729 382.762 * * [simplify]: Extracting #6: cost 0 inf + 1698 382.762 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 382.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 382.763 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 382.763 * * [simplify]: iters left: 6 (15 enodes) 382.771 * * [simplify]: iters left: 5 (62 enodes) 382.794 * * [simplify]: iters left: 4 (99 enodes) 382.825 * * [simplify]: iters left: 3 (152 enodes) 382.873 * * [simplify]: iters left: 2 (268 enodes) 382.965 * * [simplify]: Extracting #0: cost 1 inf + 0 382.965 * * [simplify]: Extracting #1: cost 50 inf + 0 382.966 * * [simplify]: Extracting #2: cost 130 inf + 0 382.967 * * [simplify]: Extracting #3: cost 193 inf + 2 382.969 * * [simplify]: Extracting #4: cost 178 inf + 3444 382.974 * * [simplify]: Extracting #5: cost 123 inf + 16608 382.991 * * [simplify]: Extracting #6: cost 28 inf + 81861 383.016 * * [simplify]: Extracting #7: cost 2 inf + 103527 383.035 * * [simplify]: Extracting #8: cost 0 inf + 104789 383.048 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 383.048 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 383.048 * * * * [progress]: [ 442 / 675 ] simplifiying candidate # 383.048 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 383.048 * * [simplify]: iters left: 6 (11 enodes) 383.051 * * [simplify]: iters left: 5 (38 enodes) 383.059 * * [simplify]: iters left: 4 (45 enodes) 383.072 * * [simplify]: iters left: 3 (47 enodes) 383.085 * * [simplify]: Extracting #0: cost 1 inf + 0 383.085 * * [simplify]: Extracting #1: cost 8 inf + 0 383.085 * * [simplify]: Extracting #2: cost 14 inf + 1 383.085 * * [simplify]: Extracting #3: cost 19 inf + 1 383.085 * * [simplify]: Extracting #4: cost 23 inf + 1 383.085 * * [simplify]: Extracting #5: cost 22 inf + 2 383.085 * * [simplify]: Extracting #6: cost 10 inf + 1254 383.086 * * [simplify]: Extracting #7: cost 2 inf + 3067 383.087 * * [simplify]: Extracting #8: cost 0 inf + 3550 383.088 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 383.088 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 383.088 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 383.088 * * [simplify]: iters left: 6 (18 enodes) 383.097 * * [simplify]: iters left: 5 (71 enodes) 383.119 * * [simplify]: iters left: 4 (116 enodes) 383.155 * * [simplify]: iters left: 3 (185 enodes) 383.203 * * [simplify]: iters left: 2 (363 enodes) 383.354 * * [simplify]: Extracting #0: cost 1 inf + 0 383.354 * * [simplify]: Extracting #1: cost 87 inf + 0 383.355 * * [simplify]: Extracting #2: cost 239 inf + 0 383.356 * * [simplify]: Extracting #3: cost 315 inf + 2 383.357 * * [simplify]: Extracting #4: cost 324 inf + 262 383.359 * * [simplify]: Extracting #5: cost 297 inf + 3570 383.362 * * [simplify]: Extracting #6: cost 236 inf + 20897 383.377 * * [simplify]: Extracting #7: cost 140 inf + 85555 383.419 * * [simplify]: Extracting #8: cost 29 inf + 179239 383.473 * * [simplify]: Extracting #9: cost 0 inf + 203462 383.517 * * [simplify]: Extracting #10: cost 0 inf + 203251 383.559 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 383.559 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 383.559 * * * * [progress]: [ 443 / 675 ] simplifiying candidate # 383.559 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 383.559 * * [simplify]: iters left: 6 (10 enodes) 383.566 * * [simplify]: iters left: 5 (35 enodes) 383.576 * * [simplify]: iters left: 4 (39 enodes) 383.586 * * [simplify]: iters left: 3 (43 enodes) 383.591 * * [simplify]: Extracting #0: cost 1 inf + 0 383.591 * * [simplify]: Extracting #1: cost 4 inf + 0 383.591 * * [simplify]: Extracting #2: cost 5 inf + 1 383.591 * * [simplify]: Extracting #3: cost 8 inf + 1 383.591 * * [simplify]: Extracting #4: cost 11 inf + 1 383.591 * * [simplify]: Extracting #5: cost 10 inf + 2 383.591 * * [simplify]: Extracting #6: cost 1 inf + 1293 383.591 * * [simplify]: Extracting #7: cost 0 inf + 1374 383.592 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 383.592 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 383.592 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 383.592 * * [simplify]: iters left: 6 (17 enodes) 383.596 * * [simplify]: iters left: 5 (68 enodes) 383.607 * * [simplify]: iters left: 4 (113 enodes) 383.628 * * [simplify]: iters left: 3 (186 enodes) 383.683 * * [simplify]: iters left: 2 (369 enodes) 383.805 * * [simplify]: Extracting #0: cost 1 inf + 0 383.805 * * [simplify]: Extracting #1: cost 89 inf + 0 383.807 * * [simplify]: Extracting #2: cost 242 inf + 0 383.809 * * [simplify]: Extracting #3: cost 316 inf + 2 383.811 * * [simplify]: Extracting #4: cost 304 inf + 2834 383.823 * * [simplify]: Extracting #5: cost 244 inf + 19533 383.853 * * [simplify]: Extracting #6: cost 76 inf + 131629 383.881 * * [simplify]: Extracting #7: cost 0 inf + 198309 383.925 * * [simplify]: Extracting #8: cost 0 inf + 193280 383.980 * * [simplify]: Extracting #9: cost 0 inf + 192858 384.019 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 384.019 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 384.019 * * * * [progress]: [ 444 / 675 ] simplifiying candidate # 384.019 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 384.019 * * [simplify]: iters left: 6 (11 enodes) 384.022 * * [simplify]: iters left: 5 (38 enodes) 384.028 * * [simplify]: iters left: 4 (45 enodes) 384.034 * * [simplify]: iters left: 3 (47 enodes) 384.043 * * [simplify]: Extracting #0: cost 1 inf + 0 384.043 * * [simplify]: Extracting #1: cost 8 inf + 0 384.044 * * [simplify]: Extracting #2: cost 14 inf + 1 384.044 * * [simplify]: Extracting #3: cost 19 inf + 1 384.044 * * [simplify]: Extracting #4: cost 23 inf + 1 384.044 * * [simplify]: Extracting #5: cost 22 inf + 2 384.045 * * [simplify]: Extracting #6: cost 10 inf + 1254 384.045 * * [simplify]: Extracting #7: cost 2 inf + 3067 384.046 * * [simplify]: Extracting #8: cost 0 inf + 3550 384.047 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 384.047 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 384.048 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 384.048 * * [simplify]: iters left: 6 (18 enodes) 384.058 * * [simplify]: iters left: 5 (71 enodes) 384.081 * * [simplify]: iters left: 4 (116 enodes) 384.120 * * [simplify]: iters left: 3 (185 enodes) 384.185 * * [simplify]: iters left: 2 (363 enodes) 384.359 * * [simplify]: Extracting #0: cost 1 inf + 0 384.360 * * [simplify]: Extracting #1: cost 87 inf + 0 384.360 * * [simplify]: Extracting #2: cost 239 inf + 0 384.361 * * [simplify]: Extracting #3: cost 315 inf + 2 384.362 * * [simplify]: Extracting #4: cost 324 inf + 262 384.364 * * [simplify]: Extracting #5: cost 297 inf + 3570 384.367 * * [simplify]: Extracting #6: cost 236 inf + 20897 384.376 * * [simplify]: Extracting #7: cost 140 inf + 85555 384.411 * * [simplify]: Extracting #8: cost 29 inf + 179239 384.466 * * [simplify]: Extracting #9: cost 0 inf + 203462 384.519 * * [simplify]: Extracting #10: cost 0 inf + 203251 384.546 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 384.547 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 384.547 * * * * [progress]: [ 445 / 675 ] simplifiying candidate # 384.547 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 384.547 * * [simplify]: iters left: 6 (9 enodes) 384.553 * * [simplify]: iters left: 5 (32 enodes) 384.563 * * [simplify]: iters left: 4 (36 enodes) 384.572 * * [simplify]: iters left: 3 (40 enodes) 384.581 * * [simplify]: Extracting #0: cost 1 inf + 0 384.581 * * [simplify]: Extracting #1: cost 4 inf + 0 384.581 * * [simplify]: Extracting #2: cost 5 inf + 1 384.581 * * [simplify]: Extracting #3: cost 8 inf + 1 384.582 * * [simplify]: Extracting #4: cost 11 inf + 1 384.582 * * [simplify]: Extracting #5: cost 10 inf + 2 384.582 * * [simplify]: Extracting #6: cost 2 inf + 1091 384.582 * * [simplify]: Extracting #7: cost 0 inf + 1374 384.583 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 384.583 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 384.583 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 384.583 * * [simplify]: iters left: 6 (17 enodes) 384.592 * * [simplify]: iters left: 5 (68 enodes) 384.615 * * [simplify]: iters left: 4 (113 enodes) 384.633 * * [simplify]: iters left: 3 (186 enodes) 384.667 * * [simplify]: iters left: 2 (369 enodes) 384.843 * * [simplify]: Extracting #0: cost 1 inf + 0 384.843 * * [simplify]: Extracting #1: cost 89 inf + 0 384.845 * * [simplify]: Extracting #2: cost 242 inf + 0 384.847 * * [simplify]: Extracting #3: cost 316 inf + 2 384.850 * * [simplify]: Extracting #4: cost 304 inf + 2834 384.857 * * [simplify]: Extracting #5: cost 244 inf + 19533 384.876 * * [simplify]: Extracting #6: cost 76 inf + 131629 384.902 * * [simplify]: Extracting #7: cost 0 inf + 198309 384.943 * * [simplify]: Extracting #8: cost 0 inf + 193280 384.970 * * [simplify]: Extracting #9: cost 0 inf + 192858 385.000 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 385.001 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 385.001 * * * * [progress]: [ 446 / 675 ] simplifiying candidate # 385.001 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 385.001 * * [simplify]: iters left: 6 (11 enodes) 385.004 * * [simplify]: iters left: 5 (38 enodes) 385.010 * * [simplify]: iters left: 4 (45 enodes) 385.016 * * [simplify]: iters left: 3 (47 enodes) 385.025 * * [simplify]: Extracting #0: cost 1 inf + 0 385.025 * * [simplify]: Extracting #1: cost 8 inf + 0 385.025 * * [simplify]: Extracting #2: cost 14 inf + 1 385.025 * * [simplify]: Extracting #3: cost 19 inf + 1 385.025 * * [simplify]: Extracting #4: cost 23 inf + 1 385.025 * * [simplify]: Extracting #5: cost 22 inf + 2 385.025 * * [simplify]: Extracting #6: cost 10 inf + 1254 385.026 * * [simplify]: Extracting #7: cost 2 inf + 3067 385.027 * * [simplify]: Extracting #8: cost 0 inf + 3550 385.027 * [simplify]: Simplified to (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) 385.028 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 385.028 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 385.028 * * [simplify]: iters left: 6 (18 enodes) 385.038 * * [simplify]: iters left: 5 (71 enodes) 385.060 * * [simplify]: iters left: 4 (116 enodes) 385.095 * * [simplify]: iters left: 3 (185 enodes) 385.131 * * [simplify]: iters left: 2 (363 enodes) 385.256 * * [simplify]: Extracting #0: cost 1 inf + 0 385.256 * * [simplify]: Extracting #1: cost 87 inf + 0 385.258 * * [simplify]: Extracting #2: cost 239 inf + 0 385.259 * * [simplify]: Extracting #3: cost 315 inf + 2 385.262 * * [simplify]: Extracting #4: cost 324 inf + 262 385.265 * * [simplify]: Extracting #5: cost 297 inf + 3570 385.272 * * [simplify]: Extracting #6: cost 236 inf + 20897 385.289 * * [simplify]: Extracting #7: cost 140 inf + 85555 385.314 * * [simplify]: Extracting #8: cost 29 inf + 179239 385.362 * * [simplify]: Extracting #9: cost 0 inf + 203462 385.413 * * [simplify]: Extracting #10: cost 0 inf + 203251 385.441 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 385.441 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 385.441 * * * * [progress]: [ 447 / 675 ] simplifiying candidate # 385.442 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 385.442 * * [simplify]: iters left: 6 (8 enodes) 385.444 * * [simplify]: iters left: 5 (27 enodes) 385.451 * * [simplify]: iters left: 4 (32 enodes) 385.462 * * [simplify]: iters left: 3 (36 enodes) 385.466 * * [simplify]: Extracting #0: cost 1 inf + 0 385.466 * * [simplify]: Extracting #1: cost 4 inf + 0 385.466 * * [simplify]: Extracting #2: cost 5 inf + 1 385.466 * * [simplify]: Extracting #3: cost 8 inf + 1 385.466 * * [simplify]: Extracting #4: cost 11 inf + 1 385.467 * * [simplify]: Extracting #5: cost 3 inf + 890 385.467 * * [simplify]: Extracting #6: cost 0 inf + 1374 385.467 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 385.467 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 385.467 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 385.467 * * [simplify]: iters left: 6 (17 enodes) 385.472 * * [simplify]: iters left: 5 (68 enodes) 385.483 * * [simplify]: iters left: 4 (113 enodes) 385.502 * * [simplify]: iters left: 3 (186 enodes) 385.570 * * [simplify]: iters left: 2 (369 enodes) 385.688 * * [simplify]: Extracting #0: cost 1 inf + 0 385.689 * * [simplify]: Extracting #1: cost 89 inf + 0 385.690 * * [simplify]: Extracting #2: cost 242 inf + 0 385.692 * * [simplify]: Extracting #3: cost 316 inf + 2 385.695 * * [simplify]: Extracting #4: cost 304 inf + 2834 385.702 * * [simplify]: Extracting #5: cost 244 inf + 19533 385.721 * * [simplify]: Extracting #6: cost 76 inf + 131629 385.757 * * [simplify]: Extracting #7: cost 0 inf + 198309 385.785 * * [simplify]: Extracting #8: cost 0 inf + 193280 385.816 * * [simplify]: Extracting #9: cost 0 inf + 192858 385.864 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 385.864 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 385.865 * * * * [progress]: [ 448 / 675 ] simplifiying candidate # 385.865 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 385.865 * * [simplify]: iters left: 6 (9 enodes) 385.868 * * [simplify]: iters left: 5 (33 enodes) 385.873 * * [simplify]: iters left: 4 (45 enodes) 385.880 * * [simplify]: iters left: 3 (54 enodes) 385.887 * * [simplify]: iters left: 2 (57 enodes) 385.894 * * [simplify]: Extracting #0: cost 1 inf + 0 385.894 * * [simplify]: Extracting #1: cost 10 inf + 0 385.894 * * [simplify]: Extracting #2: cost 19 inf + 1 385.894 * * [simplify]: Extracting #3: cost 23 inf + 1 385.894 * * [simplify]: Extracting #4: cost 25 inf + 1 385.894 * * [simplify]: Extracting #5: cost 24 inf + 2 385.895 * * [simplify]: Extracting #6: cost 18 inf + 569 385.895 * * [simplify]: Extracting #7: cost 4 inf + 3750 385.896 * * [simplify]: Extracting #8: cost 0 inf + 4676 385.896 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 385.896 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 385.897 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 385.897 * * [simplify]: iters left: 6 (16 enodes) 385.903 * * [simplify]: iters left: 5 (65 enodes) 385.926 * * [simplify]: iters left: 4 (110 enodes) 385.961 * * [simplify]: iters left: 3 (184 enodes) 386.030 * * [simplify]: iters left: 2 (367 enodes) 386.172 * * [simplify]: Extracting #0: cost 1 inf + 0 386.172 * * [simplify]: Extracting #1: cost 86 inf + 0 386.173 * * [simplify]: Extracting #2: cost 238 inf + 0 386.174 * * [simplify]: Extracting #3: cost 310 inf + 2 386.176 * * [simplify]: Extracting #4: cost 320 inf + 179 386.177 * * [simplify]: Extracting #5: cost 293 inf + 2834 386.180 * * [simplify]: Extracting #6: cost 243 inf + 15112 386.197 * * [simplify]: Extracting #7: cost 114 inf + 95401 386.245 * * [simplify]: Extracting #8: cost 10 inf + 184986 386.295 * * [simplify]: Extracting #9: cost 0 inf + 193131 386.326 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 386.326 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 386.326 * * * * [progress]: [ 449 / 675 ] simplifiying candidate # 386.326 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 386.326 * * [simplify]: iters left: 6 (10 enodes) 386.329 * * [simplify]: iters left: 5 (35 enodes) 386.337 * * [simplify]: iters left: 4 (42 enodes) 386.349 * * [simplify]: iters left: 3 (44 enodes) 386.361 * * [simplify]: Extracting #0: cost 1 inf + 0 386.361 * * [simplify]: Extracting #1: cost 8 inf + 0 386.362 * * [simplify]: Extracting #2: cost 15 inf + 1 386.362 * * [simplify]: Extracting #3: cost 19 inf + 1 386.362 * * [simplify]: Extracting #4: cost 21 inf + 1 386.362 * * [simplify]: Extracting #5: cost 20 inf + 2 386.362 * * [simplify]: Extracting #6: cost 12 inf + 1051 386.362 * * [simplify]: Extracting #7: cost 2 inf + 2824 386.363 * * [simplify]: Extracting #8: cost 0 inf + 3308 386.363 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 386.363 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 386.363 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 386.364 * * [simplify]: iters left: 6 (17 enodes) 386.368 * * [simplify]: iters left: 5 (68 enodes) 386.380 * * [simplify]: iters left: 4 (113 enodes) 386.398 * * [simplify]: iters left: 3 (186 enodes) 386.450 * * [simplify]: iters left: 2 (369 enodes) 386.582 * * [simplify]: Extracting #0: cost 1 inf + 0 386.582 * * [simplify]: Extracting #1: cost 89 inf + 0 386.584 * * [simplify]: Extracting #2: cost 242 inf + 0 386.586 * * [simplify]: Extracting #3: cost 315 inf + 2 386.589 * * [simplify]: Extracting #4: cost 324 inf + 262 386.592 * * [simplify]: Extracting #5: cost 299 inf + 3415 386.597 * * [simplify]: Extracting #6: cost 241 inf + 19223 386.612 * * [simplify]: Extracting #7: cost 76 inf + 130879 386.641 * * [simplify]: Extracting #8: cost 0 inf + 198664 386.667 * * [simplify]: Extracting #9: cost 0 inf + 198031 386.695 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 386.695 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 386.695 * * * * [progress]: [ 450 / 675 ] simplifiying candidate # 386.695 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 386.695 * * [simplify]: iters left: 6 (11 enodes) 386.698 * * [simplify]: iters left: 5 (38 enodes) 386.704 * * [simplify]: iters left: 4 (45 enodes) 386.712 * * [simplify]: iters left: 3 (47 enodes) 386.721 * * [simplify]: Extracting #0: cost 1 inf + 0 386.721 * * [simplify]: Extracting #1: cost 8 inf + 0 386.721 * * [simplify]: Extracting #2: cost 14 inf + 1 386.721 * * [simplify]: Extracting #3: cost 19 inf + 1 386.721 * * [simplify]: Extracting #4: cost 23 inf + 1 386.721 * * [simplify]: Extracting #5: cost 22 inf + 2 386.722 * * [simplify]: Extracting #6: cost 8 inf + 1538 386.722 * * [simplify]: Extracting #7: cost 2 inf + 3027 386.723 * * [simplify]: Extracting #8: cost 0 inf + 3550 386.724 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 386.724 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 386.724 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 386.725 * * [simplify]: iters left: 6 (18 enodes) 386.732 * * [simplify]: iters left: 5 (71 enodes) 386.744 * * [simplify]: iters left: 4 (116 enodes) 386.765 * * [simplify]: iters left: 3 (185 enodes) 386.813 * * [simplify]: iters left: 2 (363 enodes) 386.950 * * [simplify]: Extracting #0: cost 1 inf + 0 386.950 * * [simplify]: Extracting #1: cost 87 inf + 0 386.951 * * [simplify]: Extracting #2: cost 239 inf + 0 386.952 * * [simplify]: Extracting #3: cost 315 inf + 2 386.953 * * [simplify]: Extracting #4: cost 324 inf + 262 386.955 * * [simplify]: Extracting #5: cost 297 inf + 3450 386.958 * * [simplify]: Extracting #6: cost 236 inf + 20337 386.972 * * [simplify]: Extracting #7: cost 140 inf + 83515 387.000 * * [simplify]: Extracting #8: cost 29 inf + 178519 387.033 * * [simplify]: Extracting #9: cost 0 inf + 203422 387.068 * * [simplify]: Extracting #10: cost 0 inf + 203211 387.102 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 387.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 387.102 * * * * [progress]: [ 451 / 675 ] simplifiying candidate # 387.103 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 387.103 * * [simplify]: iters left: 6 (7 enodes) 387.105 * * [simplify]: iters left: 5 (25 enodes) 387.110 * * [simplify]: iters left: 4 (27 enodes) 387.114 * * [simplify]: iters left: 3 (28 enodes) 387.118 * * [simplify]: Extracting #0: cost 1 inf + 0 387.118 * * [simplify]: Extracting #1: cost 6 inf + 0 387.118 * * [simplify]: Extracting #2: cost 9 inf + 1 387.118 * * [simplify]: Extracting #3: cost 11 inf + 1 387.118 * * [simplify]: Extracting #4: cost 10 inf + 2 387.118 * * [simplify]: Extracting #5: cost 1 inf + 935 387.118 * * [simplify]: Extracting #6: cost 0 inf + 1056 387.119 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 387.119 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 387.119 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 387.119 * * [simplify]: iters left: 6 (15 enodes) 387.123 * * [simplify]: iters left: 5 (62 enodes) 387.133 * * [simplify]: iters left: 4 (99 enodes) 387.155 * * [simplify]: iters left: 3 (152 enodes) 387.183 * * [simplify]: iters left: 2 (268 enodes) 387.266 * * [simplify]: Extracting #0: cost 1 inf + 0 387.267 * * [simplify]: Extracting #1: cost 50 inf + 0 387.267 * * [simplify]: Extracting #2: cost 130 inf + 0 387.268 * * [simplify]: Extracting #3: cost 193 inf + 2 387.270 * * [simplify]: Extracting #4: cost 178 inf + 3244 387.275 * * [simplify]: Extracting #5: cost 123 inf + 15848 387.283 * * [simplify]: Extracting #6: cost 28 inf + 78941 387.690 * * [simplify]: Extracting #7: cost 2 inf + 99807 387.717 * * [simplify]: Extracting #8: cost 0 inf + 100989 387.744 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 387.744 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 387.744 * * * * [progress]: [ 452 / 675 ] simplifiying candidate # 387.744 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 387.745 * * [simplify]: iters left: 6 (9 enodes) 387.753 * * [simplify]: iters left: 5 (31 enodes) 387.762 * * [simplify]: iters left: 4 (35 enodes) 387.770 * * [simplify]: iters left: 3 (39 enodes) 387.780 * * [simplify]: Extracting #0: cost 1 inf + 0 387.780 * * [simplify]: Extracting #1: cost 4 inf + 0 387.780 * * [simplify]: Extracting #2: cost 5 inf + 1 387.780 * * [simplify]: Extracting #3: cost 7 inf + 1 387.780 * * [simplify]: Extracting #4: cost 9 inf + 1 387.780 * * [simplify]: Extracting #5: cost 8 inf + 2 387.780 * * [simplify]: Extracting #6: cost 5 inf + 165 387.780 * * [simplify]: Extracting #7: cost 2 inf + 529 387.781 * * [simplify]: Extracting #8: cost 0 inf + 812 387.781 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 387.781 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 387.781 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 387.782 * * [simplify]: iters left: 6 (15 enodes) 387.790 * * [simplify]: iters left: 5 (62 enodes) 387.805 * * [simplify]: iters left: 4 (107 enodes) 387.825 * * [simplify]: iters left: 3 (177 enodes) 387.872 * * [simplify]: iters left: 2 (355 enodes) 388.003 * * [simplify]: Extracting #0: cost 1 inf + 0 388.003 * * [simplify]: Extracting #1: cost 88 inf + 0 388.004 * * [simplify]: Extracting #2: cost 238 inf + 0 388.005 * * [simplify]: Extracting #3: cost 310 inf + 2 388.006 * * [simplify]: Extracting #4: cost 300 inf + 2532 388.012 * * [simplify]: Extracting #5: cost 245 inf + 14641 388.035 * * [simplify]: Extracting #6: cost 67 inf + 134227 388.059 * * [simplify]: Extracting #7: cost 0 inf + 186051 388.090 * * [simplify]: Extracting #8: cost 0 inf + 184370 388.126 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 388.126 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 388.126 * * * * [progress]: [ 453 / 675 ] simplifiying candidate # 388.126 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 388.126 * * [simplify]: iters left: 6 (7 enodes) 388.130 * * [simplify]: iters left: 5 (25 enodes) 388.138 * * [simplify]: iters left: 4 (27 enodes) 388.144 * * [simplify]: iters left: 3 (28 enodes) 388.148 * * [simplify]: Extracting #0: cost 1 inf + 0 388.148 * * [simplify]: Extracting #1: cost 6 inf + 0 388.148 * * [simplify]: Extracting #2: cost 9 inf + 1 388.148 * * [simplify]: Extracting #3: cost 11 inf + 1 388.148 * * [simplify]: Extracting #4: cost 10 inf + 2 388.148 * * [simplify]: Extracting #5: cost 1 inf + 935 388.149 * * [simplify]: Extracting #6: cost 0 inf + 1056 388.149 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 388.149 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 388.149 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 388.149 * * [simplify]: iters left: 6 (15 enodes) 388.153 * * [simplify]: iters left: 5 (62 enodes) 388.163 * * [simplify]: iters left: 4 (99 enodes) 388.183 * * [simplify]: iters left: 3 (152 enodes) 388.236 * * [simplify]: iters left: 2 (268 enodes) 388.318 * * [simplify]: Extracting #0: cost 1 inf + 0 388.318 * * [simplify]: Extracting #1: cost 50 inf + 0 388.319 * * [simplify]: Extracting #2: cost 130 inf + 0 388.320 * * [simplify]: Extracting #3: cost 193 inf + 2 388.322 * * [simplify]: Extracting #4: cost 178 inf + 3244 388.324 * * [simplify]: Extracting #5: cost 123 inf + 15848 388.335 * * [simplify]: Extracting #6: cost 28 inf + 78941 388.349 * * [simplify]: Extracting #7: cost 2 inf + 99807 388.371 * * [simplify]: Extracting #8: cost 0 inf + 100989 388.386 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 388.386 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 388.386 * * * * [progress]: [ 454 / 675 ] simplifiying candidate # 388.386 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 388.386 * * [simplify]: iters left: 6 (8 enodes) 388.390 * * [simplify]: iters left: 5 (28 enodes) 388.394 * * [simplify]: iters left: 4 (32 enodes) 388.399 * * [simplify]: iters left: 3 (36 enodes) 388.404 * * [simplify]: Extracting #0: cost 1 inf + 0 388.404 * * [simplify]: Extracting #1: cost 4 inf + 0 388.404 * * [simplify]: Extracting #2: cost 5 inf + 1 388.404 * * [simplify]: Extracting #3: cost 7 inf + 1 388.404 * * [simplify]: Extracting #4: cost 9 inf + 1 388.404 * * [simplify]: Extracting #5: cost 6 inf + 84 388.404 * * [simplify]: Extracting #6: cost 2 inf + 610 388.405 * * [simplify]: Extracting #7: cost 0 inf + 812 388.405 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 388.405 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 388.406 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 388.406 * * [simplify]: iters left: 6 (15 enodes) 388.414 * * [simplify]: iters left: 5 (62 enodes) 388.429 * * [simplify]: iters left: 4 (107 enodes) 388.448 * * [simplify]: iters left: 3 (177 enodes) 388.510 * * [simplify]: iters left: 2 (355 enodes) 388.668 * * [simplify]: Extracting #0: cost 1 inf + 0 388.669 * * [simplify]: Extracting #1: cost 88 inf + 0 388.670 * * [simplify]: Extracting #2: cost 238 inf + 0 388.672 * * [simplify]: Extracting #3: cost 310 inf + 2 388.674 * * [simplify]: Extracting #4: cost 300 inf + 2532 388.679 * * [simplify]: Extracting #5: cost 245 inf + 14641 388.693 * * [simplify]: Extracting #6: cost 67 inf + 134227 388.718 * * [simplify]: Extracting #7: cost 0 inf + 186051 388.751 * * [simplify]: Extracting #8: cost 0 inf + 184370 388.786 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 388.786 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 388.786 * * * * [progress]: [ 455 / 675 ] simplifiying candidate # 388.787 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 388.787 * * [simplify]: iters left: 6 (7 enodes) 388.791 * * [simplify]: iters left: 5 (25 enodes) 388.798 * * [simplify]: iters left: 4 (27 enodes) 388.806 * * [simplify]: iters left: 3 (28 enodes) 388.814 * * [simplify]: Extracting #0: cost 1 inf + 0 388.814 * * [simplify]: Extracting #1: cost 6 inf + 0 388.814 * * [simplify]: Extracting #2: cost 9 inf + 1 388.814 * * [simplify]: Extracting #3: cost 11 inf + 1 388.814 * * [simplify]: Extracting #4: cost 10 inf + 2 388.815 * * [simplify]: Extracting #5: cost 1 inf + 935 388.815 * * [simplify]: Extracting #6: cost 0 inf + 1056 388.815 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 388.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 388.816 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 388.816 * * [simplify]: iters left: 6 (15 enodes) 388.824 * * [simplify]: iters left: 5 (62 enodes) 388.844 * * [simplify]: iters left: 4 (99 enodes) 388.863 * * [simplify]: iters left: 3 (152 enodes) 388.903 * * [simplify]: iters left: 2 (268 enodes) 389.016 * * [simplify]: Extracting #0: cost 1 inf + 0 389.016 * * [simplify]: Extracting #1: cost 50 inf + 0 389.016 * * [simplify]: Extracting #2: cost 130 inf + 0 389.017 * * [simplify]: Extracting #3: cost 193 inf + 2 389.018 * * [simplify]: Extracting #4: cost 178 inf + 3244 389.021 * * [simplify]: Extracting #5: cost 123 inf + 15848 389.029 * * [simplify]: Extracting #6: cost 28 inf + 78941 389.042 * * [simplify]: Extracting #7: cost 2 inf + 99807 389.065 * * [simplify]: Extracting #8: cost 0 inf + 100989 389.092 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 389.092 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 389.093 * * * * [progress]: [ 456 / 675 ] simplifiying candidate # 389.093 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 389.093 * * [simplify]: iters left: 6 (7 enodes) 389.097 * * [simplify]: iters left: 5 (23 enodes) 389.104 * * [simplify]: iters left: 4 (28 enodes) 389.112 * * [simplify]: iters left: 3 (32 enodes) 389.119 * * [simplify]: Extracting #0: cost 1 inf + 0 389.119 * * [simplify]: Extracting #1: cost 4 inf + 0 389.120 * * [simplify]: Extracting #2: cost 5 inf + 1 389.120 * * [simplify]: Extracting #3: cost 7 inf + 1 389.120 * * [simplify]: Extracting #4: cost 9 inf + 1 389.120 * * [simplify]: Extracting #5: cost 8 inf + 2 389.120 * * [simplify]: Extracting #6: cost 2 inf + 529 389.120 * * [simplify]: Extracting #7: cost 0 inf + 812 389.121 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 389.121 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 389.121 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 389.121 * * [simplify]: iters left: 6 (15 enodes) 389.129 * * [simplify]: iters left: 5 (62 enodes) 389.152 * * [simplify]: iters left: 4 (107 enodes) 389.185 * * [simplify]: iters left: 3 (177 enodes) 389.248 * * [simplify]: iters left: 2 (355 enodes) 389.366 * * [simplify]: Extracting #0: cost 1 inf + 0 389.366 * * [simplify]: Extracting #1: cost 88 inf + 0 389.367 * * [simplify]: Extracting #2: cost 238 inf + 0 389.368 * * [simplify]: Extracting #3: cost 310 inf + 2 389.370 * * [simplify]: Extracting #4: cost 300 inf + 2532 389.373 * * [simplify]: Extracting #5: cost 245 inf + 14641 389.398 * * [simplify]: Extracting #6: cost 67 inf + 134227 389.448 * * [simplify]: Extracting #7: cost 0 inf + 186051 389.500 * * [simplify]: Extracting #8: cost 0 inf + 184370 389.551 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 389.551 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 389.551 * * * * [progress]: [ 457 / 675 ] simplifiying candidate # 389.551 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 389.551 * * [simplify]: iters left: 6 (10 enodes) 389.557 * * [simplify]: iters left: 5 (36 enodes) 389.567 * * [simplify]: iters left: 4 (45 enodes) 389.579 * * [simplify]: iters left: 3 (51 enodes) 389.592 * * [simplify]: iters left: 2 (57 enodes) 389.604 * * [simplify]: Extracting #0: cost 1 inf + 0 389.604 * * [simplify]: Extracting #1: cost 6 inf + 0 389.604 * * [simplify]: Extracting #2: cost 9 inf + 1 389.604 * * [simplify]: Extracting #3: cost 11 inf + 1 389.604 * * [simplify]: Extracting #4: cost 13 inf + 1 389.604 * * [simplify]: Extracting #5: cost 10 inf + 84 389.604 * * [simplify]: Extracting #6: cost 6 inf + 568 389.605 * * [simplify]: Extracting #7: cost 0 inf + 1858 389.605 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 389.605 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 389.606 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 389.606 * * [simplify]: iters left: 6 (15 enodes) 389.614 * * [simplify]: iters left: 5 (62 enodes) 389.632 * * [simplify]: iters left: 4 (107 enodes) 389.650 * * [simplify]: iters left: 3 (177 enodes) 389.682 * * [simplify]: iters left: 2 (355 enodes) 389.807 * * [simplify]: Extracting #0: cost 1 inf + 0 389.807 * * [simplify]: Extracting #1: cost 88 inf + 0 389.808 * * [simplify]: Extracting #2: cost 238 inf + 0 389.814 * * [simplify]: Extracting #3: cost 310 inf + 2 389.818 * * [simplify]: Extracting #4: cost 299 inf + 3879 389.824 * * [simplify]: Extracting #5: cost 243 inf + 16625 389.850 * * [simplify]: Extracting #6: cost 81 inf + 126694 389.898 * * [simplify]: Extracting #7: cost 1 inf + 190486 389.946 * * [simplify]: Extracting #8: cost 0 inf + 189370 389.990 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 389.990 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 389.990 * * * * [progress]: [ 458 / 675 ] simplifiying candidate # 389.990 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 389.990 * * [simplify]: iters left: 6 (10 enodes) 389.993 * * [simplify]: iters left: 5 (35 enodes) 389.998 * * [simplify]: iters left: 4 (37 enodes) 390.003 * * [simplify]: iters left: 3 (41 enodes) 390.009 * * [simplify]: Extracting #0: cost 1 inf + 0 390.009 * * [simplify]: Extracting #1: cost 4 inf + 0 390.009 * * [simplify]: Extracting #2: cost 6 inf + 1 390.009 * * [simplify]: Extracting #3: cost 9 inf + 1 390.009 * * [simplify]: Extracting #4: cost 11 inf + 1 390.009 * * [simplify]: Extracting #5: cost 1 inf + 1253 390.009 * * [simplify]: Extracting #6: cost 0 inf + 1374 390.009 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 390.009 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 390.010 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 390.010 * * [simplify]: iters left: 6 (16 enodes) 390.014 * * [simplify]: iters left: 5 (65 enodes) 390.032 * * [simplify]: iters left: 4 (110 enodes) 390.066 * * [simplify]: iters left: 3 (184 enodes) 390.135 * * [simplify]: iters left: 2 (367 enodes) 390.283 * * [simplify]: Extracting #0: cost 1 inf + 0 390.283 * * [simplify]: Extracting #1: cost 86 inf + 0 390.284 * * [simplify]: Extracting #2: cost 239 inf + 0 390.287 * * [simplify]: Extracting #3: cost 312 inf + 2 390.290 * * [simplify]: Extracting #4: cost 291 inf + 6114 390.304 * * [simplify]: Extracting #5: cost 176 inf + 59226 390.324 * * [simplify]: Extracting #6: cost 71 inf + 131998 390.363 * * [simplify]: Extracting #7: cost 4 inf + 186864 390.414 * * [simplify]: Extracting #8: cost 0 inf + 190571 390.448 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 390.448 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 390.448 * * * * [progress]: [ 459 / 675 ] simplifiying candidate # 390.448 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 390.448 * * [simplify]: iters left: 6 (10 enodes) 390.451 * * [simplify]: iters left: 5 (35 enodes) 390.457 * * [simplify]: iters left: 4 (37 enodes) 390.463 * * [simplify]: iters left: 3 (41 enodes) 390.472 * * [simplify]: Extracting #0: cost 1 inf + 0 390.472 * * [simplify]: Extracting #1: cost 4 inf + 0 390.472 * * [simplify]: Extracting #2: cost 5 inf + 1 390.472 * * [simplify]: Extracting #3: cost 8 inf + 1 390.473 * * [simplify]: Extracting #4: cost 11 inf + 1 390.473 * * [simplify]: Extracting #5: cost 1 inf + 1253 390.473 * * [simplify]: Extracting #6: cost 0 inf + 1374 390.473 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 390.474 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 390.474 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 390.474 * * [simplify]: iters left: 6 (17 enodes) 390.483 * * [simplify]: iters left: 5 (68 enodes) 390.504 * * [simplify]: iters left: 4 (113 enodes) 390.540 * * [simplify]: iters left: 3 (186 enodes) 390.585 * * [simplify]: iters left: 2 (369 enodes) 390.732 * * [simplify]: Extracting #0: cost 1 inf + 0 390.732 * * [simplify]: Extracting #1: cost 88 inf + 0 390.733 * * [simplify]: Extracting #2: cost 240 inf + 0 390.735 * * [simplify]: Extracting #3: cost 314 inf + 2 390.736 * * [simplify]: Extracting #4: cost 299 inf + 3359 390.740 * * [simplify]: Extracting #5: cost 234 inf + 22374 390.757 * * [simplify]: Extracting #6: cost 60 inf + 148138 390.811 * * [simplify]: Extracting #7: cost 0 inf + 197383 390.864 * * [simplify]: Extracting #8: cost 0 inf + 193828 390.898 * * [simplify]: Extracting #9: cost 0 inf + 193788 390.939 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 390.940 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 390.940 * * * * [progress]: [ 460 / 675 ] simplifiying candidate # 390.940 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 390.940 * * [simplify]: iters left: 6 (9 enodes) 390.946 * * [simplify]: iters left: 5 (31 enodes) 390.956 * * [simplify]: iters left: 4 (33 enodes) 390.964 * * [simplify]: iters left: 3 (37 enodes) 390.973 * * [simplify]: Extracting #0: cost 1 inf + 0 390.973 * * [simplify]: Extracting #1: cost 4 inf + 0 390.973 * * [simplify]: Extracting #2: cost 5 inf + 1 390.974 * * [simplify]: Extracting #3: cost 7 inf + 1 390.974 * * [simplify]: Extracting #4: cost 9 inf + 1 390.974 * * [simplify]: Extracting #5: cost 0 inf + 812 390.974 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 390.974 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 390.975 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 390.975 * * [simplify]: iters left: 6 (15 enodes) 390.983 * * [simplify]: iters left: 5 (62 enodes) 391.004 * * [simplify]: iters left: 4 (107 enodes) 391.037 * * [simplify]: iters left: 3 (177 enodes) 391.102 * * [simplify]: iters left: 2 (355 enodes) 391.274 * * [simplify]: Extracting #0: cost 1 inf + 0 391.275 * * [simplify]: Extracting #1: cost 88 inf + 0 391.275 * * [simplify]: Extracting #2: cost 238 inf + 0 391.276 * * [simplify]: Extracting #3: cost 310 inf + 2 391.278 * * [simplify]: Extracting #4: cost 299 inf + 3679 391.281 * * [simplify]: Extracting #5: cost 243 inf + 16225 391.295 * * [simplify]: Extracting #6: cost 81 inf + 123974 391.346 * * [simplify]: Extracting #7: cost 1 inf + 185486 391.377 * * [simplify]: Extracting #8: cost 0 inf + 184330 391.419 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 391.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 391.419 * * * * [progress]: [ 461 / 675 ] simplifiying candidate # 391.419 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) 391.420 * * [simplify]: iters left: 6 (5 enodes) 391.432 * * [simplify]: iters left: 5 (19 enodes) 391.436 * * [simplify]: iters left: 4 (21 enodes) 391.440 * * [simplify]: Extracting #0: cost 1 inf + 0 391.440 * * [simplify]: Extracting #1: cost 0 inf + 1 391.440 * [simplify]: Simplified to 1 391.440 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 391.441 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 391.441 * * [simplify]: iters left: 6 (14 enodes) 391.452 * * [simplify]: iters left: 5 (59 enodes) 391.470 * * [simplify]: iters left: 4 (96 enodes) 391.486 * * [simplify]: iters left: 3 (149 enodes) 391.512 * * [simplify]: iters left: 2 (265 enodes) 391.617 * * [simplify]: Extracting #0: cost 1 inf + 0 391.617 * * [simplify]: Extracting #1: cost 50 inf + 0 391.618 * * [simplify]: Extracting #2: cost 132 inf + 0 391.618 * * [simplify]: Extracting #3: cost 195 inf + 3 391.619 * * [simplify]: Extracting #4: cost 179 inf + 4407 391.622 * * [simplify]: Extracting #5: cost 137 inf + 11514 391.628 * * [simplify]: Extracting #6: cost 57 inf + 57747 391.641 * * [simplify]: Extracting #7: cost 0 inf + 100144 391.657 * * [simplify]: Extracting #8: cost 0 inf + 98303 391.670 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 391.670 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 391.670 * * * * [progress]: [ 462 / 675 ] simplifiying candidate # 391.670 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 391.670 * * [simplify]: iters left: 6 (9 enodes) 391.674 * * [simplify]: iters left: 5 (31 enodes) 391.683 * * [simplify]: iters left: 4 (33 enodes) 391.692 * * [simplify]: iters left: 3 (37 enodes) 391.701 * * [simplify]: Extracting #0: cost 1 inf + 0 391.701 * * [simplify]: Extracting #1: cost 4 inf + 0 391.701 * * [simplify]: Extracting #2: cost 5 inf + 1 391.701 * * [simplify]: Extracting #3: cost 7 inf + 1 391.701 * * [simplify]: Extracting #4: cost 9 inf + 1 391.701 * * [simplify]: Extracting #5: cost 0 inf + 812 391.702 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 391.702 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 391.702 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 391.702 * * [simplify]: iters left: 6 (15 enodes) 391.711 * * [simplify]: iters left: 5 (62 enodes) 391.731 * * [simplify]: iters left: 4 (107 enodes) 391.765 * * [simplify]: iters left: 3 (177 enodes) 391.818 * * [simplify]: iters left: 2 (355 enodes) 391.972 * * [simplify]: Extracting #0: cost 1 inf + 0 391.972 * * [simplify]: Extracting #1: cost 88 inf + 0 391.973 * * [simplify]: Extracting #2: cost 238 inf + 0 391.976 * * [simplify]: Extracting #3: cost 310 inf + 2 391.978 * * [simplify]: Extracting #4: cost 299 inf + 3679 391.981 * * [simplify]: Extracting #5: cost 243 inf + 16225 391.995 * * [simplify]: Extracting #6: cost 81 inf + 123974 392.030 * * [simplify]: Extracting #7: cost 1 inf + 185486 392.055 * * [simplify]: Extracting #8: cost 0 inf + 184330 392.105 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 392.105 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 392.105 * * * * [progress]: [ 463 / 675 ] simplifiying candidate # 392.105 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) 392.105 * * [simplify]: iters left: 6 (5 enodes) 392.117 * * [simplify]: iters left: 5 (19 enodes) 392.121 * * [simplify]: iters left: 4 (21 enodes) 392.127 * * [simplify]: Extracting #0: cost 1 inf + 0 392.127 * * [simplify]: Extracting #1: cost 0 inf + 1 392.127 * [simplify]: Simplified to 1 392.127 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 392.128 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 392.128 * * [simplify]: iters left: 6 (14 enodes) 392.135 * * [simplify]: iters left: 5 (59 enodes) 392.156 * * [simplify]: iters left: 4 (96 enodes) 392.178 * * [simplify]: iters left: 3 (149 enodes) 392.205 * * [simplify]: iters left: 2 (265 enodes) 392.285 * * [simplify]: Extracting #0: cost 1 inf + 0 392.285 * * [simplify]: Extracting #1: cost 50 inf + 0 392.286 * * [simplify]: Extracting #2: cost 132 inf + 0 392.286 * * [simplify]: Extracting #3: cost 195 inf + 3 392.287 * * [simplify]: Extracting #4: cost 179 inf + 4407 392.290 * * [simplify]: Extracting #5: cost 137 inf + 11514 392.296 * * [simplify]: Extracting #6: cost 57 inf + 57747 392.318 * * [simplify]: Extracting #7: cost 0 inf + 100144 392.348 * * [simplify]: Extracting #8: cost 0 inf + 98303 392.372 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 392.372 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 392.372 * * * * [progress]: [ 464 / 675 ] simplifiying candidate # 392.373 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 392.373 * * [simplify]: iters left: 6 (9 enodes) 392.379 * * [simplify]: iters left: 5 (31 enodes) 392.388 * * [simplify]: iters left: 4 (33 enodes) 392.397 * * [simplify]: iters left: 3 (37 enodes) 392.406 * * [simplify]: Extracting #0: cost 1 inf + 0 392.406 * * [simplify]: Extracting #1: cost 4 inf + 0 392.406 * * [simplify]: Extracting #2: cost 5 inf + 1 392.406 * * [simplify]: Extracting #3: cost 7 inf + 1 392.407 * * [simplify]: Extracting #4: cost 9 inf + 1 392.407 * * [simplify]: Extracting #5: cost 0 inf + 812 392.407 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 392.407 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 392.408 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 392.408 * * [simplify]: iters left: 6 (15 enodes) 392.416 * * [simplify]: iters left: 5 (62 enodes) 392.432 * * [simplify]: iters left: 4 (107 enodes) 392.450 * * [simplify]: iters left: 3 (177 enodes) 392.493 * * [simplify]: iters left: 2 (355 enodes) 392.638 * * [simplify]: Extracting #0: cost 1 inf + 0 392.638 * * [simplify]: Extracting #1: cost 88 inf + 0 392.640 * * [simplify]: Extracting #2: cost 238 inf + 0 392.643 * * [simplify]: Extracting #3: cost 310 inf + 2 392.646 * * [simplify]: Extracting #4: cost 299 inf + 3679 392.652 * * [simplify]: Extracting #5: cost 243 inf + 16225 392.671 * * [simplify]: Extracting #6: cost 81 inf + 123974 392.701 * * [simplify]: Extracting #7: cost 1 inf + 185486 392.726 * * [simplify]: Extracting #8: cost 0 inf + 184330 392.771 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 392.771 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 392.771 * * * * [progress]: [ 465 / 675 ] simplifiying candidate # 392.771 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt 1))) 1) 392.772 * * [simplify]: iters left: 6 (5 enodes) 392.776 * * [simplify]: iters left: 5 (17 enodes) 392.779 * * [simplify]: iters left: 4 (19 enodes) 392.781 * * [simplify]: Extracting #0: cost 1 inf + 0 392.781 * * [simplify]: Extracting #1: cost 0 inf + 1 392.781 * [simplify]: Simplified to 1 392.781 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 392.783 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 392.783 * * [simplify]: iters left: 6 (14 enodes) 392.787 * * [simplify]: iters left: 5 (59 enodes) 392.797 * * [simplify]: iters left: 4 (96 enodes) 392.825 * * [simplify]: iters left: 3 (149 enodes) 392.854 * * [simplify]: iters left: 2 (265 enodes) 392.945 * * [simplify]: Extracting #0: cost 1 inf + 0 392.945 * * [simplify]: Extracting #1: cost 50 inf + 0 392.946 * * [simplify]: Extracting #2: cost 132 inf + 0 392.946 * * [simplify]: Extracting #3: cost 195 inf + 3 392.947 * * [simplify]: Extracting #4: cost 179 inf + 4407 392.949 * * [simplify]: Extracting #5: cost 137 inf + 11514 392.955 * * [simplify]: Extracting #6: cost 57 inf + 57747 392.978 * * [simplify]: Extracting #7: cost 0 inf + 100144 393.002 * * [simplify]: Extracting #8: cost 0 inf + 98303 393.015 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 393.015 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 393.015 * * * * [progress]: [ 466 / 675 ] simplifiying candidate # 393.015 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 393.015 * * [simplify]: iters left: 6 (9 enodes) 393.018 * * [simplify]: iters left: 5 (33 enodes) 393.023 * * [simplify]: iters left: 4 (45 enodes) 393.033 * * [simplify]: iters left: 3 (54 enodes) 393.048 * * [simplify]: iters left: 2 (57 enodes) 393.061 * * [simplify]: Extracting #0: cost 1 inf + 0 393.061 * * [simplify]: Extracting #1: cost 10 inf + 0 393.061 * * [simplify]: Extracting #2: cost 19 inf + 1 393.061 * * [simplify]: Extracting #3: cost 23 inf + 1 393.061 * * [simplify]: Extracting #4: cost 25 inf + 1 393.061 * * [simplify]: Extracting #5: cost 24 inf + 2 393.062 * * [simplify]: Extracting #6: cost 18 inf + 569 393.062 * * [simplify]: Extracting #7: cost 4 inf + 3750 393.063 * * [simplify]: Extracting #8: cost 0 inf + 4676 393.063 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 393.063 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 393.064 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 393.064 * * [simplify]: iters left: 6 (16 enodes) 393.068 * * [simplify]: iters left: 5 (65 enodes) 393.078 * * [simplify]: iters left: 4 (110 enodes) 393.098 * * [simplify]: iters left: 3 (184 enodes) 393.151 * * [simplify]: iters left: 2 (367 enodes) 393.296 * * [simplify]: Extracting #0: cost 1 inf + 0 393.296 * * [simplify]: Extracting #1: cost 86 inf + 0 393.298 * * [simplify]: Extracting #2: cost 238 inf + 0 393.299 * * [simplify]: Extracting #3: cost 310 inf + 2 393.304 * * [simplify]: Extracting #4: cost 320 inf + 179 393.306 * * [simplify]: Extracting #5: cost 293 inf + 2834 393.310 * * [simplify]: Extracting #6: cost 243 inf + 15112 393.320 * * [simplify]: Extracting #7: cost 114 inf + 95401 393.344 * * [simplify]: Extracting #8: cost 10 inf + 184986 393.371 * * [simplify]: Extracting #9: cost 0 inf + 193131 393.398 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 393.398 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 393.398 * * * * [progress]: [ 467 / 675 ] simplifiying candidate # 393.398 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 393.399 * * [simplify]: iters left: 6 (10 enodes) 393.401 * * [simplify]: iters left: 5 (35 enodes) 393.407 * * [simplify]: iters left: 4 (42 enodes) 393.415 * * [simplify]: iters left: 3 (44 enodes) 393.428 * * [simplify]: Extracting #0: cost 1 inf + 0 393.428 * * [simplify]: Extracting #1: cost 8 inf + 0 393.428 * * [simplify]: Extracting #2: cost 15 inf + 1 393.428 * * [simplify]: Extracting #3: cost 19 inf + 1 393.428 * * [simplify]: Extracting #4: cost 21 inf + 1 393.428 * * [simplify]: Extracting #5: cost 20 inf + 2 393.428 * * [simplify]: Extracting #6: cost 12 inf + 1051 393.429 * * [simplify]: Extracting #7: cost 2 inf + 2824 393.430 * * [simplify]: Extracting #8: cost 0 inf + 3308 393.431 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 393.431 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 393.431 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 393.431 * * [simplify]: iters left: 6 (17 enodes) 393.440 * * [simplify]: iters left: 5 (68 enodes) 393.463 * * [simplify]: iters left: 4 (113 enodes) 393.491 * * [simplify]: iters left: 3 (186 enodes) 393.530 * * [simplify]: iters left: 2 (369 enodes) 393.668 * * [simplify]: Extracting #0: cost 1 inf + 0 393.668 * * [simplify]: Extracting #1: cost 89 inf + 0 393.669 * * [simplify]: Extracting #2: cost 242 inf + 0 393.670 * * [simplify]: Extracting #3: cost 315 inf + 2 393.671 * * [simplify]: Extracting #4: cost 324 inf + 262 393.673 * * [simplify]: Extracting #5: cost 299 inf + 3415 393.677 * * [simplify]: Extracting #6: cost 241 inf + 19223 393.695 * * [simplify]: Extracting #7: cost 76 inf + 130879 393.725 * * [simplify]: Extracting #8: cost 0 inf + 198664 393.779 * * [simplify]: Extracting #9: cost 0 inf + 198031 393.830 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 393.830 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 393.830 * * * * [progress]: [ 468 / 675 ] simplifiying candidate # 393.830 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 393.830 * * [simplify]: iters left: 6 (11 enodes) 393.833 * * [simplify]: iters left: 5 (38 enodes) 393.839 * * [simplify]: iters left: 4 (45 enodes) 393.845 * * [simplify]: iters left: 3 (47 enodes) 393.852 * * [simplify]: Extracting #0: cost 1 inf + 0 393.853 * * [simplify]: Extracting #1: cost 8 inf + 0 393.853 * * [simplify]: Extracting #2: cost 14 inf + 1 393.853 * * [simplify]: Extracting #3: cost 19 inf + 1 393.853 * * [simplify]: Extracting #4: cost 23 inf + 1 393.853 * * [simplify]: Extracting #5: cost 22 inf + 2 393.853 * * [simplify]: Extracting #6: cost 8 inf + 1538 393.854 * * [simplify]: Extracting #7: cost 2 inf + 3027 393.855 * * [simplify]: Extracting #8: cost 0 inf + 3550 393.856 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 393.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 393.856 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 393.856 * * [simplify]: iters left: 6 (18 enodes) 393.866 * * [simplify]: iters left: 5 (71 enodes) 393.890 * * [simplify]: iters left: 4 (116 enodes) 393.914 * * [simplify]: iters left: 3 (185 enodes) 393.955 * * [simplify]: iters left: 2 (363 enodes) 394.061 * * [simplify]: Extracting #0: cost 1 inf + 0 394.062 * * [simplify]: Extracting #1: cost 87 inf + 0 394.063 * * [simplify]: Extracting #2: cost 239 inf + 0 394.064 * * [simplify]: Extracting #3: cost 315 inf + 2 394.065 * * [simplify]: Extracting #4: cost 324 inf + 262 394.068 * * [simplify]: Extracting #5: cost 297 inf + 3450 394.075 * * [simplify]: Extracting #6: cost 236 inf + 20337 394.093 * * [simplify]: Extracting #7: cost 140 inf + 83515 394.119 * * [simplify]: Extracting #8: cost 29 inf + 178519 394.160 * * [simplify]: Extracting #9: cost 0 inf + 203422 394.189 * * [simplify]: Extracting #10: cost 0 inf + 203211 394.245 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 394.245 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 394.246 * * * * [progress]: [ 469 / 675 ] simplifiying candidate # 394.246 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 394.246 * * [simplify]: iters left: 6 (7 enodes) 394.250 * * [simplify]: iters left: 5 (25 enodes) 394.258 * * [simplify]: iters left: 4 (27 enodes) 394.266 * * [simplify]: iters left: 3 (28 enodes) 394.274 * * [simplify]: Extracting #0: cost 1 inf + 0 394.274 * * [simplify]: Extracting #1: cost 6 inf + 0 394.274 * * [simplify]: Extracting #2: cost 9 inf + 1 394.274 * * [simplify]: Extracting #3: cost 11 inf + 1 394.274 * * [simplify]: Extracting #4: cost 10 inf + 2 394.274 * * [simplify]: Extracting #5: cost 1 inf + 935 394.275 * * [simplify]: Extracting #6: cost 0 inf + 1056 394.275 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 394.275 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 394.276 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 394.276 * * [simplify]: iters left: 6 (15 enodes) 394.284 * * [simplify]: iters left: 5 (62 enodes) 394.304 * * [simplify]: iters left: 4 (99 enodes) 394.321 * * [simplify]: iters left: 3 (152 enodes) 394.360 * * [simplify]: iters left: 2 (268 enodes) 394.457 * * [simplify]: Extracting #0: cost 1 inf + 0 394.457 * * [simplify]: Extracting #1: cost 50 inf + 0 394.461 * * [simplify]: Extracting #2: cost 130 inf + 0 394.461 * * [simplify]: Extracting #3: cost 193 inf + 2 394.462 * * [simplify]: Extracting #4: cost 178 inf + 3244 394.465 * * [simplify]: Extracting #5: cost 123 inf + 15848 394.473 * * [simplify]: Extracting #6: cost 28 inf + 78941 394.486 * * [simplify]: Extracting #7: cost 2 inf + 99807 394.506 * * [simplify]: Extracting #8: cost 0 inf + 100989 394.533 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 394.533 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 394.533 * * * * [progress]: [ 470 / 675 ] simplifiying candidate # 394.533 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 394.533 * * [simplify]: iters left: 6 (9 enodes) 394.541 * * [simplify]: iters left: 5 (31 enodes) 394.551 * * [simplify]: iters left: 4 (35 enodes) 394.560 * * [simplify]: iters left: 3 (39 enodes) 394.569 * * [simplify]: Extracting #0: cost 1 inf + 0 394.569 * * [simplify]: Extracting #1: cost 4 inf + 0 394.569 * * [simplify]: Extracting #2: cost 5 inf + 1 394.569 * * [simplify]: Extracting #3: cost 7 inf + 1 394.569 * * [simplify]: Extracting #4: cost 9 inf + 1 394.569 * * [simplify]: Extracting #5: cost 8 inf + 2 394.570 * * [simplify]: Extracting #6: cost 5 inf + 165 394.570 * * [simplify]: Extracting #7: cost 2 inf + 529 394.570 * * [simplify]: Extracting #8: cost 0 inf + 812 394.570 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 394.570 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 394.571 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 394.571 * * [simplify]: iters left: 6 (15 enodes) 394.580 * * [simplify]: iters left: 5 (62 enodes) 394.603 * * [simplify]: iters left: 4 (107 enodes) 394.638 * * [simplify]: iters left: 3 (177 enodes) 394.703 * * [simplify]: iters left: 2 (355 enodes) 394.834 * * [simplify]: Extracting #0: cost 1 inf + 0 394.834 * * [simplify]: Extracting #1: cost 88 inf + 0 394.835 * * [simplify]: Extracting #2: cost 238 inf + 0 394.836 * * [simplify]: Extracting #3: cost 310 inf + 2 394.837 * * [simplify]: Extracting #4: cost 300 inf + 2532 394.840 * * [simplify]: Extracting #5: cost 245 inf + 14641 394.855 * * [simplify]: Extracting #6: cost 67 inf + 134227 394.880 * * [simplify]: Extracting #7: cost 0 inf + 186051 394.921 * * [simplify]: Extracting #8: cost 0 inf + 184370 394.964 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 394.964 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 394.964 * * * * [progress]: [ 471 / 675 ] simplifiying candidate # 394.965 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 394.965 * * [simplify]: iters left: 6 (7 enodes) 394.968 * * [simplify]: iters left: 5 (25 enodes) 394.976 * * [simplify]: iters left: 4 (27 enodes) 394.984 * * [simplify]: iters left: 3 (28 enodes) 394.991 * * [simplify]: Extracting #0: cost 1 inf + 0 394.992 * * [simplify]: Extracting #1: cost 6 inf + 0 394.992 * * [simplify]: Extracting #2: cost 9 inf + 1 394.992 * * [simplify]: Extracting #3: cost 11 inf + 1 394.992 * * [simplify]: Extracting #4: cost 10 inf + 2 394.992 * * [simplify]: Extracting #5: cost 1 inf + 935 394.992 * * [simplify]: Extracting #6: cost 0 inf + 1056 394.993 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 394.993 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 394.993 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 394.993 * * [simplify]: iters left: 6 (15 enodes) 395.001 * * [simplify]: iters left: 5 (62 enodes) 395.022 * * [simplify]: iters left: 4 (99 enodes) 395.052 * * [simplify]: iters left: 3 (152 enodes) 395.092 * * [simplify]: iters left: 2 (268 enodes) 395.173 * * [simplify]: Extracting #0: cost 1 inf + 0 395.174 * * [simplify]: Extracting #1: cost 50 inf + 0 395.174 * * [simplify]: Extracting #2: cost 130 inf + 0 395.175 * * [simplify]: Extracting #3: cost 193 inf + 2 395.176 * * [simplify]: Extracting #4: cost 178 inf + 3244 395.178 * * [simplify]: Extracting #5: cost 123 inf + 15848 395.187 * * [simplify]: Extracting #6: cost 28 inf + 78941 395.205 * * [simplify]: Extracting #7: cost 2 inf + 99807 395.233 * * [simplify]: Extracting #8: cost 0 inf + 100989 395.259 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 395.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 395.259 * * * * [progress]: [ 472 / 675 ] simplifiying candidate # 395.259 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 395.260 * * [simplify]: iters left: 6 (8 enodes) 395.263 * * [simplify]: iters left: 5 (28 enodes) 395.268 * * [simplify]: iters left: 4 (32 enodes) 395.273 * * [simplify]: iters left: 3 (36 enodes) 395.280 * * [simplify]: Extracting #0: cost 1 inf + 0 395.280 * * [simplify]: Extracting #1: cost 4 inf + 0 395.280 * * [simplify]: Extracting #2: cost 5 inf + 1 395.280 * * [simplify]: Extracting #3: cost 7 inf + 1 395.280 * * [simplify]: Extracting #4: cost 9 inf + 1 395.280 * * [simplify]: Extracting #5: cost 6 inf + 84 395.280 * * [simplify]: Extracting #6: cost 2 inf + 610 395.281 * * [simplify]: Extracting #7: cost 0 inf + 812 395.281 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 395.281 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 395.281 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 395.281 * * [simplify]: iters left: 6 (15 enodes) 395.285 * * [simplify]: iters left: 5 (62 enodes) 395.300 * * [simplify]: iters left: 4 (107 enodes) 395.329 * * [simplify]: iters left: 3 (177 enodes) 395.372 * * [simplify]: iters left: 2 (355 enodes) 395.493 * * [simplify]: Extracting #0: cost 1 inf + 0 395.493 * * [simplify]: Extracting #1: cost 88 inf + 0 395.494 * * [simplify]: Extracting #2: cost 238 inf + 0 395.495 * * [simplify]: Extracting #3: cost 310 inf + 2 395.496 * * [simplify]: Extracting #4: cost 300 inf + 2532 395.499 * * [simplify]: Extracting #5: cost 245 inf + 14641 395.515 * * [simplify]: Extracting #6: cost 67 inf + 134227 395.551 * * [simplify]: Extracting #7: cost 0 inf + 186051 395.579 * * [simplify]: Extracting #8: cost 0 inf + 184370 395.622 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 395.622 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 395.622 * * * * [progress]: [ 473 / 675 ] simplifiying candidate # 395.622 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 395.622 * * [simplify]: iters left: 6 (7 enodes) 395.624 * * [simplify]: iters left: 5 (25 enodes) 395.628 * * [simplify]: iters left: 4 (27 enodes) 395.632 * * [simplify]: iters left: 3 (28 enodes) 395.636 * * [simplify]: Extracting #0: cost 1 inf + 0 395.636 * * [simplify]: Extracting #1: cost 6 inf + 0 395.636 * * [simplify]: Extracting #2: cost 9 inf + 1 395.636 * * [simplify]: Extracting #3: cost 11 inf + 1 395.636 * * [simplify]: Extracting #4: cost 10 inf + 2 395.636 * * [simplify]: Extracting #5: cost 1 inf + 935 395.637 * * [simplify]: Extracting #6: cost 0 inf + 1056 395.637 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 395.637 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 395.637 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 395.637 * * [simplify]: iters left: 6 (15 enodes) 395.641 * * [simplify]: iters left: 5 (62 enodes) 395.652 * * [simplify]: iters left: 4 (99 enodes) 395.670 * * [simplify]: iters left: 3 (152 enodes) 395.701 * * [simplify]: iters left: 2 (268 enodes) 395.768 * * [simplify]: Extracting #0: cost 1 inf + 0 395.769 * * [simplify]: Extracting #1: cost 50 inf + 0 395.769 * * [simplify]: Extracting #2: cost 130 inf + 0 395.769 * * [simplify]: Extracting #3: cost 193 inf + 2 395.770 * * [simplify]: Extracting #4: cost 178 inf + 3244 395.773 * * [simplify]: Extracting #5: cost 123 inf + 15848 395.782 * * [simplify]: Extracting #6: cost 28 inf + 78941 395.795 * * [simplify]: Extracting #7: cost 2 inf + 99807 395.809 * * [simplify]: Extracting #8: cost 0 inf + 100989 395.823 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 395.823 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 395.823 * * * * [progress]: [ 474 / 675 ] simplifiying candidate # 395.823 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 395.823 * * [simplify]: iters left: 6 (7 enodes) 395.825 * * [simplify]: iters left: 5 (23 enodes) 395.832 * * [simplify]: iters left: 4 (28 enodes) 395.836 * * [simplify]: iters left: 3 (32 enodes) 395.839 * * [simplify]: Extracting #0: cost 1 inf + 0 395.840 * * [simplify]: Extracting #1: cost 4 inf + 0 395.840 * * [simplify]: Extracting #2: cost 5 inf + 1 395.840 * * [simplify]: Extracting #3: cost 7 inf + 1 395.840 * * [simplify]: Extracting #4: cost 9 inf + 1 395.840 * * [simplify]: Extracting #5: cost 8 inf + 2 395.840 * * [simplify]: Extracting #6: cost 2 inf + 529 395.840 * * [simplify]: Extracting #7: cost 0 inf + 812 395.840 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 395.840 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 395.840 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 395.841 * * [simplify]: iters left: 6 (15 enodes) 395.845 * * [simplify]: iters left: 5 (62 enodes) 395.855 * * [simplify]: iters left: 4 (107 enodes) 395.882 * * [simplify]: iters left: 3 (177 enodes) 395.943 * * [simplify]: iters left: 2 (355 enodes) 396.074 * * [simplify]: Extracting #0: cost 1 inf + 0 396.075 * * [simplify]: Extracting #1: cost 88 inf + 0 396.075 * * [simplify]: Extracting #2: cost 238 inf + 0 396.076 * * [simplify]: Extracting #3: cost 310 inf + 2 396.078 * * [simplify]: Extracting #4: cost 300 inf + 2532 396.081 * * [simplify]: Extracting #5: cost 245 inf + 14641 396.096 * * [simplify]: Extracting #6: cost 67 inf + 134227 396.121 * * [simplify]: Extracting #7: cost 0 inf + 186051 396.150 * * [simplify]: Extracting #8: cost 0 inf + 184370 396.186 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 396.186 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 396.186 * * * * [progress]: [ 475 / 675 ] simplifiying candidate # 396.187 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 396.187 * * [simplify]: iters left: 6 (9 enodes) 396.189 * * [simplify]: iters left: 5 (33 enodes) 396.195 * * [simplify]: iters left: 4 (42 enodes) 396.201 * * [simplify]: iters left: 3 (48 enodes) 396.209 * * [simplify]: iters left: 2 (54 enodes) 396.218 * * [simplify]: Extracting #0: cost 1 inf + 0 396.218 * * [simplify]: Extracting #1: cost 6 inf + 0 396.218 * * [simplify]: Extracting #2: cost 9 inf + 1 396.219 * * [simplify]: Extracting #3: cost 11 inf + 1 396.219 * * [simplify]: Extracting #4: cost 13 inf + 1 396.219 * * [simplify]: Extracting #5: cost 12 inf + 2 396.219 * * [simplify]: Extracting #6: cost 9 inf + 165 396.219 * * [simplify]: Extracting #7: cost 5 inf + 810 396.220 * * [simplify]: Extracting #8: cost 0 inf + 1858 396.220 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 396.220 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 396.221 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 396.221 * * [simplify]: iters left: 6 (15 enodes) 396.230 * * [simplify]: iters left: 5 (62 enodes) 396.242 * * [simplify]: iters left: 4 (107 enodes) 396.260 * * [simplify]: iters left: 3 (177 enodes) 396.307 * * [simplify]: iters left: 2 (355 enodes) 396.454 * * [simplify]: Extracting #0: cost 1 inf + 0 396.454 * * [simplify]: Extracting #1: cost 88 inf + 0 396.455 * * [simplify]: Extracting #2: cost 238 inf + 0 396.458 * * [simplify]: Extracting #3: cost 310 inf + 2 396.461 * * [simplify]: Extracting #4: cost 299 inf + 3879 396.467 * * [simplify]: Extracting #5: cost 243 inf + 16625 396.490 * * [simplify]: Extracting #6: cost 81 inf + 126694 396.514 * * [simplify]: Extracting #7: cost 1 inf + 190486 396.552 * * [simplify]: Extracting #8: cost 0 inf + 189370 396.601 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 396.601 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 396.601 * * * * [progress]: [ 476 / 675 ] simplifiying candidate # 396.601 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 396.602 * * [simplify]: iters left: 6 (9 enodes) 396.606 * * [simplify]: iters left: 5 (32 enodes) 396.617 * * [simplify]: iters left: 4 (34 enodes) 396.625 * * [simplify]: iters left: 3 (38 enodes) 396.635 * * [simplify]: Extracting #0: cost 1 inf + 0 396.635 * * [simplify]: Extracting #1: cost 4 inf + 0 396.635 * * [simplify]: Extracting #2: cost 6 inf + 1 396.635 * * [simplify]: Extracting #3: cost 9 inf + 1 396.635 * * [simplify]: Extracting #4: cost 11 inf + 1 396.636 * * [simplify]: Extracting #5: cost 1 inf + 1213 396.636 * * [simplify]: Extracting #6: cost 0 inf + 1374 396.637 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 396.637 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 396.637 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 396.637 * * [simplify]: iters left: 6 (16 enodes) 396.646 * * [simplify]: iters left: 5 (65 enodes) 396.668 * * [simplify]: iters left: 4 (110 enodes) 396.696 * * [simplify]: iters left: 3 (184 enodes) 396.735 * * [simplify]: iters left: 2 (367 enodes) 396.868 * * [simplify]: Extracting #0: cost 1 inf + 0 396.868 * * [simplify]: Extracting #1: cost 86 inf + 0 396.869 * * [simplify]: Extracting #2: cost 239 inf + 0 396.872 * * [simplify]: Extracting #3: cost 312 inf + 2 396.879 * * [simplify]: Extracting #4: cost 291 inf + 6114 396.886 * * [simplify]: Extracting #5: cost 176 inf + 59226 396.902 * * [simplify]: Extracting #6: cost 71 inf + 131998 396.947 * * [simplify]: Extracting #7: cost 4 inf + 186864 396.994 * * [simplify]: Extracting #8: cost 0 inf + 190571 397.020 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 397.020 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 397.020 * * * * [progress]: [ 477 / 675 ] simplifiying candidate # 397.021 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 397.021 * * [simplify]: iters left: 6 (9 enodes) 397.024 * * [simplify]: iters left: 5 (32 enodes) 397.029 * * [simplify]: iters left: 4 (34 enodes) 397.033 * * [simplify]: iters left: 3 (38 enodes) 397.042 * * [simplify]: Extracting #0: cost 1 inf + 0 397.042 * * [simplify]: Extracting #1: cost 4 inf + 0 397.042 * * [simplify]: Extracting #2: cost 5 inf + 1 397.043 * * [simplify]: Extracting #3: cost 8 inf + 1 397.043 * * [simplify]: Extracting #4: cost 11 inf + 1 397.043 * * [simplify]: Extracting #5: cost 1 inf + 1253 397.043 * * [simplify]: Extracting #6: cost 0 inf + 1374 397.044 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 397.044 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 397.044 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 397.044 * * [simplify]: iters left: 6 (17 enodes) 397.053 * * [simplify]: iters left: 5 (68 enodes) 397.065 * * [simplify]: iters left: 4 (113 enodes) 397.086 * * [simplify]: iters left: 3 (186 enodes) 397.156 * * [simplify]: iters left: 2 (369 enodes) 397.278 * * [simplify]: Extracting #0: cost 1 inf + 0 397.279 * * [simplify]: Extracting #1: cost 88 inf + 0 397.280 * * [simplify]: Extracting #2: cost 240 inf + 0 397.282 * * [simplify]: Extracting #3: cost 314 inf + 2 397.285 * * [simplify]: Extracting #4: cost 299 inf + 3359 397.292 * * [simplify]: Extracting #5: cost 234 inf + 22374 397.313 * * [simplify]: Extracting #6: cost 60 inf + 148138 397.355 * * [simplify]: Extracting #7: cost 0 inf + 197383 397.381 * * [simplify]: Extracting #8: cost 0 inf + 193828 397.418 * * [simplify]: Extracting #9: cost 0 inf + 193788 397.455 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 397.455 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 397.455 * * * * [progress]: [ 478 / 675 ] simplifiying candidate # 397.456 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 397.456 * * [simplify]: iters left: 5 (8 enodes) 397.461 * * [simplify]: iters left: 4 (28 enodes) 397.469 * * [simplify]: iters left: 3 (30 enodes) 397.478 * * [simplify]: iters left: 2 (34 enodes) 397.487 * * [simplify]: Extracting #0: cost 1 inf + 0 397.487 * * [simplify]: Extracting #1: cost 4 inf + 0 397.487 * * [simplify]: Extracting #2: cost 5 inf + 1 397.487 * * [simplify]: Extracting #3: cost 7 inf + 1 397.487 * * [simplify]: Extracting #4: cost 9 inf + 1 397.487 * * [simplify]: Extracting #5: cost 7 inf + 43 397.487 * * [simplify]: Extracting #6: cost 4 inf + 286 397.487 * * [simplify]: Extracting #7: cost 0 inf + 812 397.488 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 397.488 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 397.488 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 397.488 * * [simplify]: iters left: 6 (15 enodes) 397.497 * * [simplify]: iters left: 5 (62 enodes) 397.518 * * [simplify]: iters left: 4 (107 enodes) 397.554 * * [simplify]: iters left: 3 (177 enodes) 397.596 * * [simplify]: iters left: 2 (355 enodes) 397.762 * * [simplify]: Extracting #0: cost 1 inf + 0 397.762 * * [simplify]: Extracting #1: cost 88 inf + 0 397.763 * * [simplify]: Extracting #2: cost 238 inf + 0 397.764 * * [simplify]: Extracting #3: cost 310 inf + 2 397.766 * * [simplify]: Extracting #4: cost 299 inf + 3679 397.769 * * [simplify]: Extracting #5: cost 243 inf + 16225 397.795 * * [simplify]: Extracting #6: cost 81 inf + 123974 397.835 * * [simplify]: Extracting #7: cost 1 inf + 185486 397.861 * * [simplify]: Extracting #8: cost 0 inf + 184330 397.913 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 397.913 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 397.913 * * * * [progress]: [ 479 / 675 ] simplifiying candidate # 397.913 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) 397.913 * * [simplify]: iters left: 5 (5 enodes) 397.920 * * [simplify]: iters left: 4 (19 enodes) 397.925 * * [simplify]: iters left: 3 (21 enodes) 397.929 * * [simplify]: Extracting #0: cost 1 inf + 0 397.929 * * [simplify]: Extracting #1: cost 0 inf + 1 397.929 * [simplify]: Simplified to 1 397.929 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 397.930 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 397.930 * * [simplify]: iters left: 6 (14 enodes) 397.938 * * [simplify]: iters left: 5 (59 enodes) 397.959 * * [simplify]: iters left: 4 (96 enodes) 397.990 * * [simplify]: iters left: 3 (149 enodes) 398.033 * * [simplify]: iters left: 2 (265 enodes) 398.119 * * [simplify]: Extracting #0: cost 1 inf + 0 398.119 * * [simplify]: Extracting #1: cost 50 inf + 0 398.120 * * [simplify]: Extracting #2: cost 132 inf + 0 398.121 * * [simplify]: Extracting #3: cost 195 inf + 3 398.122 * * [simplify]: Extracting #4: cost 179 inf + 4407 398.127 * * [simplify]: Extracting #5: cost 137 inf + 11514 398.137 * * [simplify]: Extracting #6: cost 57 inf + 57747 398.152 * * [simplify]: Extracting #7: cost 0 inf + 100144 398.167 * * [simplify]: Extracting #8: cost 0 inf + 98303 398.191 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 398.192 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 398.192 * * * * [progress]: [ 480 / 675 ] simplifiying candidate # 398.192 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 398.192 * * [simplify]: iters left: 5 (8 enodes) 398.197 * * [simplify]: iters left: 4 (28 enodes) 398.202 * * [simplify]: iters left: 3 (30 enodes) 398.207 * * [simplify]: iters left: 2 (34 enodes) 398.211 * * [simplify]: Extracting #0: cost 1 inf + 0 398.211 * * [simplify]: Extracting #1: cost 4 inf + 0 398.211 * * [simplify]: Extracting #2: cost 5 inf + 1 398.211 * * [simplify]: Extracting #3: cost 7 inf + 1 398.211 * * [simplify]: Extracting #4: cost 9 inf + 1 398.211 * * [simplify]: Extracting #5: cost 7 inf + 43 398.211 * * [simplify]: Extracting #6: cost 4 inf + 286 398.212 * * [simplify]: Extracting #7: cost 0 inf + 812 398.212 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 398.212 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 398.212 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 398.212 * * [simplify]: iters left: 6 (15 enodes) 398.216 * * [simplify]: iters left: 5 (62 enodes) 398.227 * * [simplify]: iters left: 4 (107 enodes) 398.245 * * [simplify]: iters left: 3 (177 enodes) 398.309 * * [simplify]: iters left: 2 (355 enodes) 398.420 * * [simplify]: Extracting #0: cost 1 inf + 0 398.420 * * [simplify]: Extracting #1: cost 88 inf + 0 398.421 * * [simplify]: Extracting #2: cost 238 inf + 0 398.422 * * [simplify]: Extracting #3: cost 310 inf + 2 398.423 * * [simplify]: Extracting #4: cost 299 inf + 3679 398.427 * * [simplify]: Extracting #5: cost 243 inf + 16225 398.444 * * [simplify]: Extracting #6: cost 81 inf + 123974 398.469 * * [simplify]: Extracting #7: cost 1 inf + 185486 398.514 * * [simplify]: Extracting #8: cost 0 inf + 184330 398.563 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 398.563 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 398.563 * * * * [progress]: [ 481 / 675 ] simplifiying candidate # 398.563 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) 398.563 * * [simplify]: iters left: 5 (4 enodes) 398.565 * * [simplify]: iters left: 4 (16 enodes) 398.569 * * [simplify]: iters left: 3 (18 enodes) 398.571 * * [simplify]: Extracting #0: cost 1 inf + 0 398.571 * * [simplify]: Extracting #1: cost 0 inf + 1 398.571 * [simplify]: Simplified to 1 398.571 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 398.571 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 398.571 * * [simplify]: iters left: 6 (14 enodes) 398.575 * * [simplify]: iters left: 5 (59 enodes) 398.585 * * [simplify]: iters left: 4 (96 enodes) 398.609 * * [simplify]: iters left: 3 (149 enodes) 398.639 * * [simplify]: iters left: 2 (265 enodes) 398.711 * * [simplify]: Extracting #0: cost 1 inf + 0 398.711 * * [simplify]: Extracting #1: cost 50 inf + 0 398.711 * * [simplify]: Extracting #2: cost 132 inf + 0 398.712 * * [simplify]: Extracting #3: cost 195 inf + 3 398.713 * * [simplify]: Extracting #4: cost 179 inf + 4407 398.715 * * [simplify]: Extracting #5: cost 137 inf + 11514 398.725 * * [simplify]: Extracting #6: cost 57 inf + 57747 398.742 * * [simplify]: Extracting #7: cost 0 inf + 100144 398.757 * * [simplify]: Extracting #8: cost 0 inf + 98303 398.777 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 398.777 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 398.777 * * * * [progress]: [ 482 / 675 ] simplifiying candidate # 398.777 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 398.778 * * [simplify]: iters left: 5 (8 enodes) 398.782 * * [simplify]: iters left: 4 (28 enodes) 398.791 * * [simplify]: iters left: 3 (30 enodes) 398.797 * * [simplify]: iters left: 2 (34 enodes) 398.801 * * [simplify]: Extracting #0: cost 1 inf + 0 398.801 * * [simplify]: Extracting #1: cost 4 inf + 0 398.801 * * [simplify]: Extracting #2: cost 5 inf + 1 398.801 * * [simplify]: Extracting #3: cost 7 inf + 1 398.801 * * [simplify]: Extracting #4: cost 9 inf + 1 398.801 * * [simplify]: Extracting #5: cost 7 inf + 43 398.801 * * [simplify]: Extracting #6: cost 4 inf + 286 398.802 * * [simplify]: Extracting #7: cost 0 inf + 812 398.802 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 398.802 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 398.802 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 398.802 * * [simplify]: iters left: 6 (15 enodes) 398.806 * * [simplify]: iters left: 5 (62 enodes) 398.817 * * [simplify]: iters left: 4 (107 enodes) 398.846 * * [simplify]: iters left: 3 (177 enodes) 398.912 * * [simplify]: iters left: 2 (355 enodes) 399.090 * * [simplify]: Extracting #0: cost 1 inf + 0 399.090 * * [simplify]: Extracting #1: cost 88 inf + 0 399.092 * * [simplify]: Extracting #2: cost 238 inf + 0 399.094 * * [simplify]: Extracting #3: cost 310 inf + 2 399.097 * * [simplify]: Extracting #4: cost 299 inf + 3679 399.104 * * [simplify]: Extracting #5: cost 243 inf + 16225 399.138 * * [simplify]: Extracting #6: cost 81 inf + 123974 399.172 * * [simplify]: Extracting #7: cost 1 inf + 185486 399.208 * * [simplify]: Extracting #8: cost 0 inf + 184330 399.256 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 399.256 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 399.256 * * * * [progress]: [ 483 / 675 ] simplifiying candidate # 399.256 * [simplify]: Simplifying (/ (/ 1 (sqrt 1)) 1) 399.256 * * [simplify]: iters left: 5 (4 enodes) 399.263 * * [simplify]: iters left: 4 (14 enodes) 399.265 * * [simplify]: iters left: 3 (16 enodes) 399.266 * * [simplify]: Extracting #0: cost 1 inf + 0 399.266 * * [simplify]: Extracting #1: cost 0 inf + 1 399.266 * [simplify]: Simplified to 1 399.267 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 399.267 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 399.267 * * [simplify]: iters left: 6 (14 enodes) 399.271 * * [simplify]: iters left: 5 (59 enodes) 399.281 * * [simplify]: iters left: 4 (96 enodes) 399.296 * * [simplify]: iters left: 3 (149 enodes) 399.339 * * [simplify]: iters left: 2 (265 enodes) 399.454 * * [simplify]: Extracting #0: cost 1 inf + 0 399.455 * * [simplify]: Extracting #1: cost 50 inf + 0 399.455 * * [simplify]: Extracting #2: cost 132 inf + 0 399.456 * * [simplify]: Extracting #3: cost 195 inf + 3 399.458 * * [simplify]: Extracting #4: cost 179 inf + 4407 399.463 * * [simplify]: Extracting #5: cost 137 inf + 11514 399.476 * * [simplify]: Extracting #6: cost 57 inf + 57747 399.497 * * [simplify]: Extracting #7: cost 0 inf + 100144 399.513 * * [simplify]: Extracting #8: cost 0 inf + 98303 399.528 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 399.528 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 399.528 * * * * [progress]: [ 484 / 675 ] simplifiying candidate # 399.529 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 399.529 * * [simplify]: iters left: 6 (9 enodes) 399.533 * * [simplify]: iters left: 5 (33 enodes) 399.544 * * [simplify]: iters left: 4 (45 enodes) 399.557 * * [simplify]: iters left: 3 (54 enodes) 399.571 * * [simplify]: iters left: 2 (57 enodes) 399.586 * * [simplify]: Extracting #0: cost 1 inf + 0 399.586 * * [simplify]: Extracting #1: cost 10 inf + 0 399.586 * * [simplify]: Extracting #2: cost 19 inf + 1 399.586 * * [simplify]: Extracting #3: cost 23 inf + 1 399.586 * * [simplify]: Extracting #4: cost 25 inf + 1 399.586 * * [simplify]: Extracting #5: cost 24 inf + 2 399.587 * * [simplify]: Extracting #6: cost 18 inf + 569 399.587 * * [simplify]: Extracting #7: cost 4 inf + 3750 399.589 * * [simplify]: Extracting #8: cost 0 inf + 4676 399.590 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 399.590 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 399.591 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 399.591 * * [simplify]: iters left: 6 (16 enodes) 399.599 * * [simplify]: iters left: 5 (65 enodes) 399.620 * * [simplify]: iters left: 4 (110 enodes) 399.659 * * [simplify]: iters left: 3 (184 enodes) 399.727 * * [simplify]: iters left: 2 (367 enodes) 399.849 * * [simplify]: Extracting #0: cost 1 inf + 0 399.849 * * [simplify]: Extracting #1: cost 86 inf + 0 399.854 * * [simplify]: Extracting #2: cost 238 inf + 0 399.856 * * [simplify]: Extracting #3: cost 310 inf + 2 399.859 * * [simplify]: Extracting #4: cost 320 inf + 179 399.862 * * [simplify]: Extracting #5: cost 293 inf + 2834 399.867 * * [simplify]: Extracting #6: cost 243 inf + 15112 399.878 * * [simplify]: Extracting #7: cost 114 inf + 95401 399.902 * * [simplify]: Extracting #8: cost 10 inf + 184986 399.954 * * [simplify]: Extracting #9: cost 0 inf + 193131 400.009 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 400.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 400.009 * * * * [progress]: [ 485 / 675 ] simplifiying candidate # 400.009 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 400.009 * * [simplify]: iters left: 6 (10 enodes) 400.014 * * [simplify]: iters left: 5 (35 enodes) 400.025 * * [simplify]: iters left: 4 (42 enodes) 400.036 * * [simplify]: iters left: 3 (44 enodes) 400.048 * * [simplify]: Extracting #0: cost 1 inf + 0 400.048 * * [simplify]: Extracting #1: cost 8 inf + 0 400.048 * * [simplify]: Extracting #2: cost 15 inf + 1 400.048 * * [simplify]: Extracting #3: cost 19 inf + 1 400.048 * * [simplify]: Extracting #4: cost 21 inf + 1 400.049 * * [simplify]: Extracting #5: cost 20 inf + 2 400.049 * * [simplify]: Extracting #6: cost 12 inf + 1051 400.049 * * [simplify]: Extracting #7: cost 2 inf + 2824 400.050 * * [simplify]: Extracting #8: cost 0 inf + 3308 400.051 * [simplify]: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 400.051 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 400.052 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 400.052 * * [simplify]: iters left: 6 (17 enodes) 400.057 * * [simplify]: iters left: 5 (68 enodes) 400.069 * * [simplify]: iters left: 4 (113 enodes) 400.088 * * [simplify]: iters left: 3 (186 enodes) 400.134 * * [simplify]: iters left: 2 (369 enodes) 400.295 * * [simplify]: Extracting #0: cost 1 inf + 0 400.296 * * [simplify]: Extracting #1: cost 89 inf + 0 400.297 * * [simplify]: Extracting #2: cost 242 inf + 0 400.299 * * [simplify]: Extracting #3: cost 315 inf + 2 400.302 * * [simplify]: Extracting #4: cost 324 inf + 262 400.305 * * [simplify]: Extracting #5: cost 299 inf + 3415 400.311 * * [simplify]: Extracting #6: cost 241 inf + 19223 400.329 * * [simplify]: Extracting #7: cost 76 inf + 130879 400.372 * * [simplify]: Extracting #8: cost 0 inf + 198664 400.399 * * [simplify]: Extracting #9: cost 0 inf + 198031 400.451 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 400.451 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 400.451 * * * * [progress]: [ 486 / 675 ] simplifiying candidate # 400.452 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 400.452 * * [simplify]: iters left: 6 (11 enodes) 400.457 * * [simplify]: iters left: 5 (38 enodes) 400.468 * * [simplify]: iters left: 4 (45 enodes) 400.480 * * [simplify]: iters left: 3 (47 enodes) 400.493 * * [simplify]: Extracting #0: cost 1 inf + 0 400.493 * * [simplify]: Extracting #1: cost 8 inf + 0 400.493 * * [simplify]: Extracting #2: cost 14 inf + 1 400.493 * * [simplify]: Extracting #3: cost 19 inf + 1 400.493 * * [simplify]: Extracting #4: cost 23 inf + 1 400.493 * * [simplify]: Extracting #5: cost 22 inf + 2 400.493 * * [simplify]: Extracting #6: cost 8 inf + 1538 400.494 * * [simplify]: Extracting #7: cost 2 inf + 3027 400.495 * * [simplify]: Extracting #8: cost 0 inf + 3550 400.496 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) 400.496 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 400.496 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 400.497 * * [simplify]: iters left: 6 (18 enodes) 400.506 * * [simplify]: iters left: 5 (71 enodes) 400.529 * * [simplify]: iters left: 4 (116 enodes) 400.550 * * [simplify]: iters left: 3 (185 enodes) 400.609 * * [simplify]: iters left: 2 (363 enodes) 400.763 * * [simplify]: Extracting #0: cost 1 inf + 0 400.763 * * [simplify]: Extracting #1: cost 87 inf + 0 400.764 * * [simplify]: Extracting #2: cost 239 inf + 0 400.766 * * [simplify]: Extracting #3: cost 315 inf + 2 400.769 * * [simplify]: Extracting #4: cost 324 inf + 262 400.772 * * [simplify]: Extracting #5: cost 297 inf + 3450 400.779 * * [simplify]: Extracting #6: cost 236 inf + 20337 400.803 * * [simplify]: Extracting #7: cost 140 inf + 83515 400.845 * * [simplify]: Extracting #8: cost 29 inf + 178519 400.889 * * [simplify]: Extracting #9: cost 0 inf + 203422 400.923 * * [simplify]: Extracting #10: cost 0 inf + 203211 400.969 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 400.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 400.969 * * * * [progress]: [ 487 / 675 ] simplifiying candidate # 400.969 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 400.969 * * [simplify]: iters left: 6 (7 enodes) 400.971 * * [simplify]: iters left: 5 (25 enodes) 400.975 * * [simplify]: iters left: 4 (27 enodes) 400.979 * * [simplify]: iters left: 3 (28 enodes) 400.983 * * [simplify]: Extracting #0: cost 1 inf + 0 400.983 * * [simplify]: Extracting #1: cost 6 inf + 0 400.983 * * [simplify]: Extracting #2: cost 9 inf + 1 400.983 * * [simplify]: Extracting #3: cost 11 inf + 1 400.983 * * [simplify]: Extracting #4: cost 10 inf + 2 400.984 * * [simplify]: Extracting #5: cost 1 inf + 935 400.984 * * [simplify]: Extracting #6: cost 0 inf + 1056 400.984 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 400.984 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 400.984 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 400.984 * * [simplify]: iters left: 6 (15 enodes) 400.989 * * [simplify]: iters left: 5 (62 enodes) 401.003 * * [simplify]: iters left: 4 (99 enodes) 401.031 * * [simplify]: iters left: 3 (152 enodes) 401.065 * * [simplify]: iters left: 2 (268 enodes) 401.181 * * [simplify]: Extracting #0: cost 1 inf + 0 401.181 * * [simplify]: Extracting #1: cost 50 inf + 0 401.182 * * [simplify]: Extracting #2: cost 130 inf + 0 401.183 * * [simplify]: Extracting #3: cost 193 inf + 2 401.185 * * [simplify]: Extracting #4: cost 178 inf + 3244 401.190 * * [simplify]: Extracting #5: cost 123 inf + 15848 401.206 * * [simplify]: Extracting #6: cost 28 inf + 78941 401.233 * * [simplify]: Extracting #7: cost 2 inf + 99807 401.247 * * [simplify]: Extracting #8: cost 0 inf + 100989 401.268 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 401.268 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 401.268 * * * * [progress]: [ 488 / 675 ] simplifiying candidate # 401.268 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 401.268 * * [simplify]: iters left: 6 (9 enodes) 401.277 * * [simplify]: iters left: 5 (31 enodes) 401.287 * * [simplify]: iters left: 4 (35 enodes) 401.291 * * [simplify]: iters left: 3 (39 enodes) 401.296 * * [simplify]: Extracting #0: cost 1 inf + 0 401.296 * * [simplify]: Extracting #1: cost 4 inf + 0 401.296 * * [simplify]: Extracting #2: cost 5 inf + 1 401.296 * * [simplify]: Extracting #3: cost 7 inf + 1 401.296 * * [simplify]: Extracting #4: cost 9 inf + 1 401.296 * * [simplify]: Extracting #5: cost 8 inf + 2 401.296 * * [simplify]: Extracting #6: cost 5 inf + 165 401.296 * * [simplify]: Extracting #7: cost 2 inf + 529 401.296 * * [simplify]: Extracting #8: cost 0 inf + 812 401.297 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 401.297 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 401.297 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 401.297 * * [simplify]: iters left: 6 (15 enodes) 401.304 * * [simplify]: iters left: 5 (62 enodes) 401.315 * * [simplify]: iters left: 4 (107 enodes) 401.344 * * [simplify]: iters left: 3 (177 enodes) 401.391 * * [simplify]: iters left: 2 (355 enodes) 401.535 * * [simplify]: Extracting #0: cost 1 inf + 0 401.536 * * [simplify]: Extracting #1: cost 88 inf + 0 401.536 * * [simplify]: Extracting #2: cost 238 inf + 0 401.537 * * [simplify]: Extracting #3: cost 310 inf + 2 401.539 * * [simplify]: Extracting #4: cost 300 inf + 2532 401.542 * * [simplify]: Extracting #5: cost 245 inf + 14641 401.557 * * [simplify]: Extracting #6: cost 67 inf + 134227 401.604 * * [simplify]: Extracting #7: cost 0 inf + 186051 401.649 * * [simplify]: Extracting #8: cost 0 inf + 184370 401.675 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 401.675 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 401.675 * * * * [progress]: [ 489 / 675 ] simplifiying candidate # 401.676 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 401.676 * * [simplify]: iters left: 6 (7 enodes) 401.679 * * [simplify]: iters left: 5 (25 enodes) 401.687 * * [simplify]: iters left: 4 (27 enodes) 401.696 * * [simplify]: iters left: 3 (28 enodes) 401.704 * * [simplify]: Extracting #0: cost 1 inf + 0 401.704 * * [simplify]: Extracting #1: cost 6 inf + 0 401.704 * * [simplify]: Extracting #2: cost 9 inf + 1 401.705 * * [simplify]: Extracting #3: cost 11 inf + 1 401.705 * * [simplify]: Extracting #4: cost 10 inf + 2 401.705 * * [simplify]: Extracting #5: cost 1 inf + 935 401.706 * * [simplify]: Extracting #6: cost 0 inf + 1056 401.706 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 401.706 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 401.707 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 401.707 * * [simplify]: iters left: 6 (15 enodes) 401.715 * * [simplify]: iters left: 5 (62 enodes) 401.736 * * [simplify]: iters left: 4 (99 enodes) 401.766 * * [simplify]: iters left: 3 (152 enodes) 401.803 * * [simplify]: iters left: 2 (268 enodes) 401.872 * * [simplify]: Extracting #0: cost 1 inf + 0 401.872 * * [simplify]: Extracting #1: cost 50 inf + 0 401.873 * * [simplify]: Extracting #2: cost 130 inf + 0 401.874 * * [simplify]: Extracting #3: cost 193 inf + 2 401.876 * * [simplify]: Extracting #4: cost 178 inf + 3244 401.882 * * [simplify]: Extracting #5: cost 123 inf + 15848 401.899 * * [simplify]: Extracting #6: cost 28 inf + 78941 401.925 * * [simplify]: Extracting #7: cost 2 inf + 99807 401.947 * * [simplify]: Extracting #8: cost 0 inf + 100989 401.960 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 401.960 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 401.961 * * * * [progress]: [ 490 / 675 ] simplifiying candidate # 401.961 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 401.961 * * [simplify]: iters left: 6 (8 enodes) 401.964 * * [simplify]: iters left: 5 (28 enodes) 401.969 * * [simplify]: iters left: 4 (32 enodes) 401.980 * * [simplify]: iters left: 3 (36 enodes) 401.988 * * [simplify]: Extracting #0: cost 1 inf + 0 401.988 * * [simplify]: Extracting #1: cost 4 inf + 0 401.988 * * [simplify]: Extracting #2: cost 5 inf + 1 401.989 * * [simplify]: Extracting #3: cost 7 inf + 1 401.989 * * [simplify]: Extracting #4: cost 9 inf + 1 401.989 * * [simplify]: Extracting #5: cost 6 inf + 84 401.989 * * [simplify]: Extracting #6: cost 2 inf + 610 401.989 * * [simplify]: Extracting #7: cost 0 inf + 812 401.990 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 401.990 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 401.990 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 401.990 * * [simplify]: iters left: 6 (15 enodes) 401.998 * * [simplify]: iters left: 5 (62 enodes) 402.019 * * [simplify]: iters left: 4 (107 enodes) 402.042 * * [simplify]: iters left: 3 (177 enodes) 402.084 * * [simplify]: iters left: 2 (355 enodes) 402.201 * * [simplify]: Extracting #0: cost 1 inf + 0 402.201 * * [simplify]: Extracting #1: cost 88 inf + 0 402.202 * * [simplify]: Extracting #2: cost 238 inf + 0 402.203 * * [simplify]: Extracting #3: cost 310 inf + 2 402.205 * * [simplify]: Extracting #4: cost 300 inf + 2532 402.207 * * [simplify]: Extracting #5: cost 245 inf + 14641 402.223 * * [simplify]: Extracting #6: cost 67 inf + 134227 402.272 * * [simplify]: Extracting #7: cost 0 inf + 186051 402.328 * * [simplify]: Extracting #8: cost 0 inf + 184370 402.378 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 402.378 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 402.379 * * * * [progress]: [ 491 / 675 ] simplifiying candidate # 402.379 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 402.379 * * [simplify]: iters left: 6 (7 enodes) 402.383 * * [simplify]: iters left: 5 (25 enodes) 402.391 * * [simplify]: iters left: 4 (27 enodes) 402.399 * * [simplify]: iters left: 3 (28 enodes) 402.407 * * [simplify]: Extracting #0: cost 1 inf + 0 402.407 * * [simplify]: Extracting #1: cost 6 inf + 0 402.407 * * [simplify]: Extracting #2: cost 9 inf + 1 402.407 * * [simplify]: Extracting #3: cost 11 inf + 1 402.408 * * [simplify]: Extracting #4: cost 10 inf + 2 402.408 * * [simplify]: Extracting #5: cost 1 inf + 935 402.408 * * [simplify]: Extracting #6: cost 0 inf + 1056 402.409 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 402.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 402.409 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 402.409 * * [simplify]: iters left: 6 (15 enodes) 402.417 * * [simplify]: iters left: 5 (62 enodes) 402.438 * * [simplify]: iters left: 4 (99 enodes) 402.470 * * [simplify]: iters left: 3 (152 enodes) 402.521 * * [simplify]: iters left: 2 (268 enodes) 402.635 * * [simplify]: Extracting #0: cost 1 inf + 0 402.635 * * [simplify]: Extracting #1: cost 50 inf + 0 402.636 * * [simplify]: Extracting #2: cost 130 inf + 0 402.637 * * [simplify]: Extracting #3: cost 193 inf + 2 402.639 * * [simplify]: Extracting #4: cost 178 inf + 3244 402.644 * * [simplify]: Extracting #5: cost 123 inf + 15848 402.662 * * [simplify]: Extracting #6: cost 28 inf + 78941 402.677 * * [simplify]: Extracting #7: cost 2 inf + 99807 402.691 * * [simplify]: Extracting #8: cost 0 inf + 100989 402.704 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 402.704 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 402.705 * * * * [progress]: [ 492 / 675 ] simplifiying candidate # 402.705 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 402.705 * * [simplify]: iters left: 6 (7 enodes) 402.710 * * [simplify]: iters left: 5 (23 enodes) 402.715 * * [simplify]: iters left: 4 (28 enodes) 402.719 * * [simplify]: iters left: 3 (32 enodes) 402.723 * * [simplify]: Extracting #0: cost 1 inf + 0 402.723 * * [simplify]: Extracting #1: cost 4 inf + 0 402.723 * * [simplify]: Extracting #2: cost 5 inf + 1 402.723 * * [simplify]: Extracting #3: cost 7 inf + 1 402.723 * * [simplify]: Extracting #4: cost 9 inf + 1 402.723 * * [simplify]: Extracting #5: cost 8 inf + 2 402.723 * * [simplify]: Extracting #6: cost 2 inf + 529 402.723 * * [simplify]: Extracting #7: cost 0 inf + 812 402.723 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 402.723 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 402.724 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 402.724 * * [simplify]: iters left: 6 (15 enodes) 402.728 * * [simplify]: iters left: 5 (62 enodes) 402.739 * * [simplify]: iters left: 4 (107 enodes) 402.767 * * [simplify]: iters left: 3 (177 enodes) 402.820 * * [simplify]: iters left: 2 (355 enodes) 402.953 * * [simplify]: Extracting #0: cost 1 inf + 0 402.953 * * [simplify]: Extracting #1: cost 88 inf + 0 402.954 * * [simplify]: Extracting #2: cost 238 inf + 0 402.956 * * [simplify]: Extracting #3: cost 310 inf + 2 402.959 * * [simplify]: Extracting #4: cost 300 inf + 2532 402.964 * * [simplify]: Extracting #5: cost 245 inf + 14641 402.990 * * [simplify]: Extracting #6: cost 67 inf + 134227 403.030 * * [simplify]: Extracting #7: cost 0 inf + 186051 403.072 * * [simplify]: Extracting #8: cost 0 inf + 184370 403.097 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 403.097 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 403.098 * * * * [progress]: [ 493 / 675 ] simplifiying candidate # 403.098 * [simplify]: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 403.098 * * [simplify]: iters left: 6 (8 enodes) 403.102 * * [simplify]: iters left: 5 (26 enodes) 403.109 * * [simplify]: iters left: 4 (32 enodes) 403.118 * * [simplify]: iters left: 3 (34 enodes) 403.127 * * [simplify]: Extracting #0: cost 1 inf + 0 403.127 * * [simplify]: Extracting #1: cost 7 inf + 0 403.127 * * [simplify]: Extracting #2: cost 11 inf + 1 403.127 * * [simplify]: Extracting #3: cost 13 inf + 1 403.127 * * [simplify]: Extracting #4: cost 15 inf + 1 403.127 * * [simplify]: Extracting #5: cost 13 inf + 43 403.128 * * [simplify]: Extracting #6: cost 7 inf + 811 403.128 * * [simplify]: Extracting #7: cost 1 inf + 2020 403.129 * * [simplify]: Extracting #8: cost 0 inf + 2262 403.129 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 403.129 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 403.130 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 403.130 * * [simplify]: iters left: 6 (15 enodes) 403.138 * * [simplify]: iters left: 5 (62 enodes) 403.162 * * [simplify]: iters left: 4 (107 enodes) 403.185 * * [simplify]: iters left: 3 (177 enodes) 403.217 * * [simplify]: iters left: 2 (355 enodes) 403.324 * * [simplify]: Extracting #0: cost 1 inf + 0 403.324 * * [simplify]: Extracting #1: cost 88 inf + 0 403.325 * * [simplify]: Extracting #2: cost 238 inf + 0 403.326 * * [simplify]: Extracting #3: cost 310 inf + 2 403.327 * * [simplify]: Extracting #4: cost 299 inf + 3879 403.331 * * [simplify]: Extracting #5: cost 243 inf + 16625 403.350 * * [simplify]: Extracting #6: cost 81 inf + 126694 403.374 * * [simplify]: Extracting #7: cost 1 inf + 190486 403.424 * * [simplify]: Extracting #8: cost 0 inf + 189370 403.476 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 403.476 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 403.477 * * * * [progress]: [ 494 / 675 ] simplifiying candidate # 403.477 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 403.477 * * [simplify]: iters left: 6 (8 enodes) 403.481 * * [simplify]: iters left: 5 (25 enodes) 403.489 * * [simplify]: iters left: 4 (27 enodes) 403.496 * * [simplify]: Extracting #0: cost 1 inf + 0 403.496 * * [simplify]: Extracting #1: cost 4 inf + 0 403.496 * * [simplify]: Extracting #2: cost 6 inf + 1 403.496 * * [simplify]: Extracting #3: cost 9 inf + 1 403.497 * * [simplify]: Extracting #4: cost 11 inf + 1 403.497 * * [simplify]: Extracting #5: cost 8 inf + 84 403.497 * * [simplify]: Extracting #6: cost 2 inf + 1052 403.497 * * [simplify]: Extracting #7: cost 0 inf + 1374 403.498 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 403.498 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 403.498 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 403.498 * * [simplify]: iters left: 6 (16 enodes) 403.507 * * [simplify]: iters left: 5 (65 enodes) 403.530 * * [simplify]: iters left: 4 (110 enodes) 403.553 * * [simplify]: iters left: 3 (184 enodes) 403.607 * * [simplify]: iters left: 2 (367 enodes) 403.771 * * [simplify]: Extracting #0: cost 1 inf + 0 403.772 * * [simplify]: Extracting #1: cost 86 inf + 0 403.773 * * [simplify]: Extracting #2: cost 239 inf + 0 403.775 * * [simplify]: Extracting #3: cost 312 inf + 2 403.779 * * [simplify]: Extracting #4: cost 291 inf + 6114 403.792 * * [simplify]: Extracting #5: cost 176 inf + 59226 403.830 * * [simplify]: Extracting #6: cost 71 inf + 131998 403.878 * * [simplify]: Extracting #7: cost 4 inf + 186864 403.929 * * [simplify]: Extracting #8: cost 0 inf + 190571 403.980 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 403.981 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 403.981 * * * * [progress]: [ 495 / 675 ] simplifiying candidate # 403.981 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 403.981 * * [simplify]: iters left: 6 (8 enodes) 403.985 * * [simplify]: iters left: 5 (25 enodes) 403.992 * * [simplify]: iters left: 4 (27 enodes) 404.000 * * [simplify]: Extracting #0: cost 1 inf + 0 404.000 * * [simplify]: Extracting #1: cost 4 inf + 0 404.000 * * [simplify]: Extracting #2: cost 5 inf + 1 404.000 * * [simplify]: Extracting #3: cost 8 inf + 1 404.000 * * [simplify]: Extracting #4: cost 11 inf + 1 404.000 * * [simplify]: Extracting #5: cost 8 inf + 164 404.000 * * [simplify]: Extracting #6: cost 2 inf + 1092 404.000 * * [simplify]: Extracting #7: cost 0 inf + 1374 404.001 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 404.001 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 404.001 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 404.001 * * [simplify]: iters left: 6 (17 enodes) 404.010 * * [simplify]: iters left: 5 (68 enodes) 404.033 * * [simplify]: iters left: 4 (113 enodes) 404.068 * * [simplify]: iters left: 3 (186 enodes) 404.118 * * [simplify]: iters left: 2 (369 enodes) 404.257 * * [simplify]: Extracting #0: cost 1 inf + 0 404.258 * * [simplify]: Extracting #1: cost 88 inf + 0 404.259 * * [simplify]: Extracting #2: cost 240 inf + 0 404.261 * * [simplify]: Extracting #3: cost 314 inf + 2 404.264 * * [simplify]: Extracting #4: cost 299 inf + 3359 404.272 * * [simplify]: Extracting #5: cost 234 inf + 22374 404.305 * * [simplify]: Extracting #6: cost 60 inf + 148138 404.362 * * [simplify]: Extracting #7: cost 0 inf + 197383 404.408 * * [simplify]: Extracting #8: cost 0 inf + 193828 404.434 * * [simplify]: Extracting #9: cost 0 inf + 193788 404.474 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 404.475 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 404.475 * * * * [progress]: [ 496 / 675 ] simplifiying candidate # 404.475 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 404.475 * * [simplify]: iters left: 5 (7 enodes) 404.477 * * [simplify]: iters left: 4 (21 enodes) 404.481 * * [simplify]: iters left: 3 (23 enodes) 404.484 * * [simplify]: Extracting #0: cost 1 inf + 0 404.484 * * [simplify]: Extracting #1: cost 4 inf + 0 404.484 * * [simplify]: Extracting #2: cost 5 inf + 1 404.484 * * [simplify]: Extracting #3: cost 7 inf + 1 404.484 * * [simplify]: Extracting #4: cost 9 inf + 1 404.484 * * [simplify]: Extracting #5: cost 1 inf + 650 404.485 * * [simplify]: Extracting #6: cost 0 inf + 812 404.485 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 404.485 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 404.485 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 404.485 * * [simplify]: iters left: 6 (15 enodes) 404.489 * * [simplify]: iters left: 5 (62 enodes) 404.500 * * [simplify]: iters left: 4 (107 enodes) 404.518 * * [simplify]: iters left: 3 (177 enodes) 404.575 * * [simplify]: iters left: 2 (355 enodes) 404.739 * * [simplify]: Extracting #0: cost 1 inf + 0 404.739 * * [simplify]: Extracting #1: cost 88 inf + 0 404.740 * * [simplify]: Extracting #2: cost 238 inf + 0 404.741 * * [simplify]: Extracting #3: cost 310 inf + 2 404.743 * * [simplify]: Extracting #4: cost 299 inf + 3679 404.746 * * [simplify]: Extracting #5: cost 243 inf + 16225 404.762 * * [simplify]: Extracting #6: cost 81 inf + 123974 404.791 * * [simplify]: Extracting #7: cost 1 inf + 185486 404.817 * * [simplify]: Extracting #8: cost 0 inf + 184330 404.841 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 404.841 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 404.841 * * * * [progress]: [ 497 / 675 ] simplifiying candidate # 404.842 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt 1))) 404.842 * * [simplify]: iters left: 4 (5 enodes) 404.848 * * [simplify]: iters left: 3 (15 enodes) 404.850 * * [simplify]: iters left: 2 (17 enodes) 404.852 * * [simplify]: Extracting #0: cost 1 inf + 0 404.852 * * [simplify]: Extracting #1: cost 0 inf + 1 404.852 * [simplify]: Simplified to 1 404.852 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 404.852 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 404.852 * * [simplify]: iters left: 6 (14 enodes) 404.856 * * [simplify]: iters left: 5 (59 enodes) 404.867 * * [simplify]: iters left: 4 (96 enodes) 404.885 * * [simplify]: iters left: 3 (149 enodes) 404.921 * * [simplify]: iters left: 2 (265 enodes) 404.997 * * [simplify]: Extracting #0: cost 1 inf + 0 404.997 * * [simplify]: Extracting #1: cost 50 inf + 0 404.998 * * [simplify]: Extracting #2: cost 132 inf + 0 404.998 * * [simplify]: Extracting #3: cost 195 inf + 3 404.999 * * [simplify]: Extracting #4: cost 179 inf + 4407 405.001 * * [simplify]: Extracting #5: cost 137 inf + 11514 405.009 * * [simplify]: Extracting #6: cost 57 inf + 57747 405.032 * * [simplify]: Extracting #7: cost 0 inf + 100144 405.058 * * [simplify]: Extracting #8: cost 0 inf + 98303 405.083 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 405.083 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 405.084 * * * * [progress]: [ 498 / 675 ] simplifiying candidate # 405.084 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 405.084 * * [simplify]: iters left: 5 (7 enodes) 405.088 * * [simplify]: iters left: 4 (21 enodes) 405.099 * * [simplify]: iters left: 3 (23 enodes) 405.105 * * [simplify]: Extracting #0: cost 1 inf + 0 405.105 * * [simplify]: Extracting #1: cost 4 inf + 0 405.105 * * [simplify]: Extracting #2: cost 5 inf + 1 405.105 * * [simplify]: Extracting #3: cost 7 inf + 1 405.105 * * [simplify]: Extracting #4: cost 9 inf + 1 405.105 * * [simplify]: Extracting #5: cost 1 inf + 650 405.106 * * [simplify]: Extracting #6: cost 0 inf + 812 405.106 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 405.106 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 405.106 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 405.107 * * [simplify]: iters left: 6 (15 enodes) 405.114 * * [simplify]: iters left: 5 (62 enodes) 405.134 * * [simplify]: iters left: 4 (107 enodes) 405.157 * * [simplify]: iters left: 3 (177 enodes) 405.199 * * [simplify]: iters left: 2 (355 enodes) 405.334 * * [simplify]: Extracting #0: cost 1 inf + 0 405.334 * * [simplify]: Extracting #1: cost 88 inf + 0 405.335 * * [simplify]: Extracting #2: cost 238 inf + 0 405.336 * * [simplify]: Extracting #3: cost 310 inf + 2 405.338 * * [simplify]: Extracting #4: cost 299 inf + 3679 405.341 * * [simplify]: Extracting #5: cost 243 inf + 16225 405.359 * * [simplify]: Extracting #6: cost 81 inf + 123974 405.407 * * [simplify]: Extracting #7: cost 1 inf + 185486 405.461 * * [simplify]: Extracting #8: cost 0 inf + 184330 405.488 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 405.488 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 405.489 * * * * [progress]: [ 499 / 675 ] simplifiying candidate # 405.489 * [simplify]: Simplifying (/ (/ 1 1) (sqrt 1)) 405.489 * * [simplify]: iters left: 4 (4 enodes) 405.493 * * [simplify]: iters left: 3 (12 enodes) 405.495 * * [simplify]: iters left: 2 (14 enodes) 405.496 * * [simplify]: Extracting #0: cost 1 inf + 0 405.496 * * [simplify]: Extracting #1: cost 0 inf + 1 405.496 * [simplify]: Simplified to 1 405.497 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 405.497 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 405.497 * * [simplify]: iters left: 6 (14 enodes) 405.501 * * [simplify]: iters left: 5 (59 enodes) 405.511 * * [simplify]: iters left: 4 (96 enodes) 405.529 * * [simplify]: iters left: 3 (149 enodes) 405.573 * * [simplify]: iters left: 2 (265 enodes) 405.657 * * [simplify]: Extracting #0: cost 1 inf + 0 405.657 * * [simplify]: Extracting #1: cost 50 inf + 0 405.658 * * [simplify]: Extracting #2: cost 132 inf + 0 405.658 * * [simplify]: Extracting #3: cost 195 inf + 3 405.659 * * [simplify]: Extracting #4: cost 179 inf + 4407 405.662 * * [simplify]: Extracting #5: cost 137 inf + 11514 405.668 * * [simplify]: Extracting #6: cost 57 inf + 57747 405.680 * * [simplify]: Extracting #7: cost 0 inf + 100144 405.693 * * [simplify]: Extracting #8: cost 0 inf + 98303 405.705 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 405.705 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 405.705 * * * * [progress]: [ 500 / 675 ] simplifiying candidate # 405.706 * [simplify]: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 405.706 * * [simplify]: iters left: 5 (7 enodes) 405.708 * * [simplify]: iters left: 4 (21 enodes) 405.711 * * [simplify]: iters left: 3 (23 enodes) 405.718 * * [simplify]: Extracting #0: cost 1 inf + 0 405.718 * * [simplify]: Extracting #1: cost 4 inf + 0 405.718 * * [simplify]: Extracting #2: cost 5 inf + 1 405.718 * * [simplify]: Extracting #3: cost 7 inf + 1 405.718 * * [simplify]: Extracting #4: cost 9 inf + 1 405.718 * * [simplify]: Extracting #5: cost 1 inf + 650 405.719 * * [simplify]: Extracting #6: cost 0 inf + 812 405.719 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 405.719 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 405.720 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 405.720 * * [simplify]: iters left: 6 (15 enodes) 405.728 * * [simplify]: iters left: 5 (62 enodes) 405.753 * * [simplify]: iters left: 4 (107 enodes) 405.773 * * [simplify]: iters left: 3 (177 enodes) 405.807 * * [simplify]: iters left: 2 (355 enodes) 405.933 * * [simplify]: Extracting #0: cost 1 inf + 0 405.934 * * [simplify]: Extracting #1: cost 88 inf + 0 405.935 * * [simplify]: Extracting #2: cost 238 inf + 0 405.937 * * [simplify]: Extracting #3: cost 310 inf + 2 405.941 * * [simplify]: Extracting #4: cost 299 inf + 3679 405.947 * * [simplify]: Extracting #5: cost 243 inf + 16225 405.966 * * [simplify]: Extracting #6: cost 81 inf + 123974 405.991 * * [simplify]: Extracting #7: cost 1 inf + 185486 406.045 * * [simplify]: Extracting #8: cost 0 inf + 184330 406.095 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 406.095 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 406.095 * * * * [progress]: [ 501 / 675 ] simplifiying candidate # 406.096 * [simplify]: Simplifying (/ (/ 1 1) 1) 406.096 * * [simplify]: iters left: 4 (3 enodes) 406.098 * * [simplify]: iters left: 3 (7 enodes) 406.100 * * [simplify]: iters left: 2 (9 enodes) 406.103 * * [simplify]: Extracting #0: cost 1 inf + 0 406.103 * * [simplify]: Extracting #1: cost 0 inf + 1 406.103 * [simplify]: Simplified to 1 406.103 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 406.103 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 406.103 * * [simplify]: iters left: 6 (14 enodes) 406.111 * * [simplify]: iters left: 5 (59 enodes) 406.132 * * [simplify]: iters left: 4 (96 enodes) 406.155 * * [simplify]: iters left: 3 (149 enodes) 406.183 * * [simplify]: iters left: 2 (265 enodes) 406.281 * * [simplify]: Extracting #0: cost 1 inf + 0 406.282 * * [simplify]: Extracting #1: cost 50 inf + 0 406.282 * * [simplify]: Extracting #2: cost 132 inf + 0 406.283 * * [simplify]: Extracting #3: cost 195 inf + 3 406.284 * * [simplify]: Extracting #4: cost 179 inf + 4407 406.286 * * [simplify]: Extracting #5: cost 137 inf + 11514 406.292 * * [simplify]: Extracting #6: cost 57 inf + 57747 406.304 * * [simplify]: Extracting #7: cost 0 inf + 100144 406.324 * * [simplify]: Extracting #8: cost 0 inf + 98303 406.349 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 406.349 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 406.349 * * * * [progress]: [ 502 / 675 ] simplifiying candidate # 406.350 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 406.350 * * [simplify]: iters left: 6 (17 enodes) 406.359 * * [simplify]: iters left: 5 (75 enodes) 406.384 * * [simplify]: iters left: 4 (134 enodes) 406.435 * * [simplify]: iters left: 3 (255 enodes) 406.522 * * [simplify]: Extracting #0: cost 1 inf + 0 406.523 * * [simplify]: Extracting #1: cost 45 inf + 0 406.523 * * [simplify]: Extracting #2: cost 126 inf + 0 406.524 * * [simplify]: Extracting #3: cost 174 inf + 2 406.526 * * [simplify]: Extracting #4: cost 169 inf + 721 406.529 * * [simplify]: Extracting #5: cost 130 inf + 6277 406.537 * * [simplify]: Extracting #6: cost 75 inf + 32684 406.558 * * [simplify]: Extracting #7: cost 11 inf + 75120 406.572 * * [simplify]: Extracting #8: cost 0 inf + 80947 406.586 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 406.586 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 406.586 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 406.586 * * [simplify]: iters left: 6 (16 enodes) 406.591 * * [simplify]: iters left: 5 (68 enodes) 406.610 * * [simplify]: iters left: 4 (112 enodes) 406.652 * * [simplify]: iters left: 3 (189 enodes) 406.723 * * [simplify]: iters left: 2 (368 enodes) 406.837 * * [simplify]: Extracting #0: cost 1 inf + 0 406.837 * * [simplify]: Extracting #1: cost 58 inf + 0 406.838 * * [simplify]: Extracting #2: cost 157 inf + 0 406.839 * * [simplify]: Extracting #3: cost 233 inf + 2 406.840 * * [simplify]: Extracting #4: cost 246 inf + 223 406.841 * * [simplify]: Extracting #5: cost 217 inf + 6044 406.850 * * [simplify]: Extracting #6: cost 85 inf + 73306 406.878 * * [simplify]: Extracting #7: cost 3 inf + 131113 406.896 * * [simplify]: Extracting #8: cost 0 inf + 130034 406.922 * * [simplify]: Extracting #9: cost 0 inf + 129994 406.959 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k))))) 406.959 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k))))))) 406.959 * * * * [progress]: [ 503 / 675 ] simplifiying candidate # 406.960 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 406.960 * * [simplify]: iters left: 6 (20 enodes) 406.971 * * [simplify]: iters left: 5 (83 enodes) 406.987 * * [simplify]: iters left: 4 (140 enodes) 407.011 * * [simplify]: iters left: 3 (263 enodes) 407.084 * * [simplify]: Extracting #0: cost 1 inf + 0 407.084 * * [simplify]: Extracting #1: cost 57 inf + 0 407.085 * * [simplify]: Extracting #2: cost 142 inf + 0 407.086 * * [simplify]: Extracting #3: cost 195 inf + 0 407.088 * * [simplify]: Extracting #4: cost 201 inf + 219 407.090 * * [simplify]: Extracting #5: cost 168 inf + 3756 407.096 * * [simplify]: Extracting #6: cost 111 inf + 22238 407.114 * * [simplify]: Extracting #7: cost 36 inf + 72029 407.142 * * [simplify]: Extracting #8: cost 0 inf + 103536 407.160 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 407.160 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 407.161 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 407.161 * * [simplify]: iters left: 6 (18 enodes) 407.166 * * [simplify]: iters left: 5 (74 enodes) 407.184 * * [simplify]: iters left: 4 (122 enodes) 407.218 * * [simplify]: iters left: 3 (211 enodes) 407.275 * * [simplify]: iters left: 2 (432 enodes) 407.461 * * [simplify]: Extracting #0: cost 1 inf + 0 407.462 * * [simplify]: Extracting #1: cost 87 inf + 0 407.463 * * [simplify]: Extracting #2: cost 239 inf + 0 407.464 * * [simplify]: Extracting #3: cost 323 inf + 2 407.465 * * [simplify]: Extracting #4: cost 338 inf + 222 407.467 * * [simplify]: Extracting #5: cost 326 inf + 1778 407.469 * * [simplify]: Extracting #6: cost 274 inf + 8280 407.478 * * [simplify]: Extracting #7: cost 145 inf + 83348 407.525 * * [simplify]: Extracting #8: cost 10 inf + 199910 407.559 * * [simplify]: Extracting #9: cost 0 inf + 210102 407.615 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 407.615 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 407.615 * * * * [progress]: [ 504 / 675 ] simplifiying candidate # 407.616 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 407.616 * * [simplify]: iters left: 6 (21 enodes) 407.627 * * [simplify]: iters left: 5 (86 enodes) 407.657 * * [simplify]: iters left: 4 (143 enodes) 407.683 * * [simplify]: iters left: 3 (266 enodes) 407.764 * * [simplify]: Extracting #0: cost 1 inf + 0 407.764 * * [simplify]: Extracting #1: cost 56 inf + 0 407.765 * * [simplify]: Extracting #2: cost 140 inf + 0 407.766 * * [simplify]: Extracting #3: cost 195 inf + 0 407.767 * * [simplify]: Extracting #4: cost 202 inf + 261 407.769 * * [simplify]: Extracting #5: cost 169 inf + 4342 407.775 * * [simplify]: Extracting #6: cost 119 inf + 20454 407.793 * * [simplify]: Extracting #7: cost 25 inf + 86142 407.808 * * [simplify]: Extracting #8: cost 0 inf + 106432 407.824 * * [simplify]: Extracting #9: cost 0 inf + 106352 407.849 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))))) 407.849 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 407.849 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 407.849 * * [simplify]: iters left: 6 (19 enodes) 407.854 * * [simplify]: iters left: 5 (77 enodes) 407.867 * * [simplify]: iters left: 4 (125 enodes) 407.889 * * [simplify]: iters left: 3 (214 enodes) 407.934 * * [simplify]: iters left: 2 (437 enodes) 408.103 * * [simplify]: Extracting #0: cost 1 inf + 0 408.103 * * [simplify]: Extracting #1: cost 91 inf + 0 408.105 * * [simplify]: Extracting #2: cost 243 inf + 0 408.107 * * [simplify]: Extracting #3: cost 326 inf + 2 408.109 * * [simplify]: Extracting #4: cost 341 inf + 264 408.113 * * [simplify]: Extracting #5: cost 322 inf + 2243 408.121 * * [simplify]: Extracting #6: cost 239 inf + 26681 408.157 * * [simplify]: Extracting #7: cost 97 inf + 126280 408.210 * * [simplify]: Extracting #8: cost 1 inf + 204864 408.247 * * [simplify]: Extracting #9: cost 0 inf + 205771 408.290 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))) 408.290 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (cbrt (sqrt (sqrt k))))))) 408.290 * * * * [progress]: [ 505 / 675 ] simplifiying candidate # 408.291 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 408.291 * * [simplify]: iters left: 6 (18 enodes) 408.296 * * [simplify]: iters left: 5 (76 enodes) 408.309 * * [simplify]: iters left: 4 (133 enodes) 408.354 * * [simplify]: iters left: 3 (259 enodes) 408.458 * * [simplify]: Extracting #0: cost 1 inf + 0 408.458 * * [simplify]: Extracting #1: cost 57 inf + 0 408.458 * * [simplify]: Extracting #2: cost 140 inf + 0 408.459 * * [simplify]: Extracting #3: cost 193 inf + 0 408.460 * * [simplify]: Extracting #4: cost 199 inf + 219 408.461 * * [simplify]: Extracting #5: cost 161 inf + 5451 408.466 * * [simplify]: Extracting #6: cost 91 inf + 34453 408.484 * * [simplify]: Extracting #7: cost 14 inf + 86875 408.498 * * [simplify]: Extracting #8: cost 0 inf + 98109 408.516 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 408.516 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 408.516 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 408.517 * * [simplify]: iters left: 6 (17 enodes) 408.526 * * [simplify]: iters left: 5 (71 enodes) 408.549 * * [simplify]: iters left: 4 (119 enodes) 408.590 * * [simplify]: iters left: 3 (205 enodes) 408.673 * * [simplify]: iters left: 2 (425 enodes) 408.819 * * [simplify]: Extracting #0: cost 1 inf + 0 408.819 * * [simplify]: Extracting #1: cost 88 inf + 0 408.820 * * [simplify]: Extracting #2: cost 238 inf + 0 408.821 * * [simplify]: Extracting #3: cost 319 inf + 2 408.822 * * [simplify]: Extracting #4: cost 333 inf + 264 408.824 * * [simplify]: Extracting #5: cost 310 inf + 2787 408.833 * * [simplify]: Extracting #6: cost 197 inf + 46102 408.864 * * [simplify]: Extracting #7: cost 43 inf + 164355 408.897 * * [simplify]: Extracting #8: cost 0 inf + 199519 408.934 * * [simplify]: Extracting #9: cost 0 inf + 199268 408.978 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 408.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 408.979 * * * * [progress]: [ 506 / 675 ] simplifiying candidate # 408.979 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) 408.979 * * [simplify]: iters left: 6 (19 enodes) 408.987 * * [simplify]: iters left: 5 (79 enodes) 409.001 * * [simplify]: iters left: 4 (130 enodes) 409.029 * * [simplify]: iters left: 3 (233 enodes) 409.101 * * [simplify]: Extracting #0: cost 1 inf + 0 409.101 * * [simplify]: Extracting #1: cost 38 inf + 0 409.101 * * [simplify]: Extracting #2: cost 96 inf + 1 409.102 * * [simplify]: Extracting #3: cost 138 inf + 2 409.103 * * [simplify]: Extracting #4: cost 148 inf + 178 409.104 * * [simplify]: Extracting #5: cost 138 inf + 806 409.107 * * [simplify]: Extracting #6: cost 88 inf + 8886 409.116 * * [simplify]: Extracting #7: cost 36 inf + 37102 409.134 * * [simplify]: Extracting #8: cost 0 inf + 61989 409.152 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 409.152 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 409.153 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 409.153 * * [simplify]: iters left: 6 (16 enodes) 409.163 * * [simplify]: iters left: 5 (68 enodes) 409.175 * * [simplify]: iters left: 4 (116 enodes) 409.200 * * [simplify]: iters left: 3 (205 enodes) 409.253 * * [simplify]: iters left: 2 (426 enodes) 409.424 * * [simplify]: Extracting #0: cost 1 inf + 0 409.424 * * [simplify]: Extracting #1: cost 86 inf + 0 409.426 * * [simplify]: Extracting #2: cost 236 inf + 0 409.428 * * [simplify]: Extracting #3: cost 317 inf + 2 409.430 * * [simplify]: Extracting #4: cost 319 inf + 1169 409.439 * * [simplify]: Extracting #5: cost 232 inf + 28799 409.477 * * [simplify]: Extracting #6: cost 51 inf + 150290 409.537 * * [simplify]: Extracting #7: cost 0 inf + 197371 409.591 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 409.591 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 409.591 * * * * [progress]: [ 507 / 675 ] simplifiying candidate # 409.592 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 409.592 * * [simplify]: iters left: 6 (18 enodes) 409.602 * * [simplify]: iters left: 5 (76 enodes) 409.617 * * [simplify]: iters left: 4 (133 enodes) 409.642 * * [simplify]: iters left: 3 (259 enodes) 409.731 * * [simplify]: Extracting #0: cost 1 inf + 0 409.732 * * [simplify]: Extracting #1: cost 57 inf + 0 409.733 * * [simplify]: Extracting #2: cost 140 inf + 0 409.734 * * [simplify]: Extracting #3: cost 193 inf + 0 409.735 * * [simplify]: Extracting #4: cost 199 inf + 219 409.737 * * [simplify]: Extracting #5: cost 161 inf + 5451 409.746 * * [simplify]: Extracting #6: cost 91 inf + 34453 409.770 * * [simplify]: Extracting #7: cost 14 inf + 86875 409.798 * * [simplify]: Extracting #8: cost 0 inf + 98109 409.826 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 409.826 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 409.826 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 409.827 * * [simplify]: iters left: 6 (17 enodes) 409.836 * * [simplify]: iters left: 5 (71 enodes) 409.859 * * [simplify]: iters left: 4 (119 enodes) 409.900 * * [simplify]: iters left: 3 (205 enodes) 409.947 * * [simplify]: iters left: 2 (425 enodes) 410.084 * * [simplify]: Extracting #0: cost 1 inf + 0 410.084 * * [simplify]: Extracting #1: cost 88 inf + 0 410.085 * * [simplify]: Extracting #2: cost 238 inf + 0 410.086 * * [simplify]: Extracting #3: cost 319 inf + 2 410.087 * * [simplify]: Extracting #4: cost 333 inf + 264 410.088 * * [simplify]: Extracting #5: cost 310 inf + 2787 410.094 * * [simplify]: Extracting #6: cost 197 inf + 46102 410.125 * * [simplify]: Extracting #7: cost 43 inf + 164355 410.160 * * [simplify]: Extracting #8: cost 0 inf + 199519 410.216 * * [simplify]: Extracting #9: cost 0 inf + 199268 410.245 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 410.245 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 410.246 * * * * [progress]: [ 508 / 675 ] simplifiying candidate # 410.246 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 410.246 * * [simplify]: iters left: 6 (18 enodes) 410.253 * * [simplify]: iters left: 5 (76 enodes) 410.278 * * [simplify]: iters left: 4 (127 enodes) 410.320 * * [simplify]: iters left: 3 (228 enodes) 410.376 * * [simplify]: Extracting #0: cost 1 inf + 0 410.376 * * [simplify]: Extracting #1: cost 38 inf + 0 410.376 * * [simplify]: Extracting #2: cost 94 inf + 1 410.377 * * [simplify]: Extracting #3: cost 135 inf + 2 410.377 * * [simplify]: Extracting #4: cost 146 inf + 136 410.378 * * [simplify]: Extracting #5: cost 136 inf + 764 410.381 * * [simplify]: Extracting #6: cost 94 inf + 6573 410.387 * * [simplify]: Extracting #7: cost 54 inf + 23254 410.403 * * [simplify]: Extracting #8: cost 6 inf + 56757 410.421 * * [simplify]: Extracting #9: cost 0 inf + 61045 410.439 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 410.439 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 410.440 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 410.440 * * [simplify]: iters left: 6 (16 enodes) 410.449 * * [simplify]: iters left: 5 (68 enodes) 410.472 * * [simplify]: iters left: 4 (116 enodes) 410.513 * * [simplify]: iters left: 3 (205 enodes) 410.579 * * [simplify]: iters left: 2 (426 enodes) 410.752 * * [simplify]: Extracting #0: cost 1 inf + 0 410.753 * * [simplify]: Extracting #1: cost 86 inf + 0 410.754 * * [simplify]: Extracting #2: cost 236 inf + 0 410.756 * * [simplify]: Extracting #3: cost 317 inf + 2 410.758 * * [simplify]: Extracting #4: cost 319 inf + 1169 410.767 * * [simplify]: Extracting #5: cost 232 inf + 28799 410.804 * * [simplify]: Extracting #6: cost 51 inf + 150290 410.859 * * [simplify]: Extracting #7: cost 0 inf + 197371 410.918 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 410.918 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 410.918 * * * * [progress]: [ 509 / 675 ] simplifiying candidate # 410.918 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 410.919 * * [simplify]: iters left: 6 (18 enodes) 410.928 * * [simplify]: iters left: 5 (76 enodes) 410.944 * * [simplify]: iters left: 4 (133 enodes) 410.969 * * [simplify]: iters left: 3 (259 enodes) 411.053 * * [simplify]: Extracting #0: cost 1 inf + 0 411.053 * * [simplify]: Extracting #1: cost 57 inf + 0 411.054 * * [simplify]: Extracting #2: cost 140 inf + 0 411.055 * * [simplify]: Extracting #3: cost 193 inf + 0 411.057 * * [simplify]: Extracting #4: cost 199 inf + 219 411.059 * * [simplify]: Extracting #5: cost 161 inf + 5451 411.068 * * [simplify]: Extracting #6: cost 91 inf + 34453 411.092 * * [simplify]: Extracting #7: cost 14 inf + 86875 411.124 * * [simplify]: Extracting #8: cost 0 inf + 98109 411.152 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 411.152 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 411.153 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 411.153 * * [simplify]: iters left: 6 (17 enodes) 411.163 * * [simplify]: iters left: 5 (71 enodes) 411.186 * * [simplify]: iters left: 4 (119 enodes) 411.208 * * [simplify]: iters left: 3 (205 enodes) 411.266 * * [simplify]: iters left: 2 (425 enodes) 411.422 * * [simplify]: Extracting #0: cost 1 inf + 0 411.422 * * [simplify]: Extracting #1: cost 88 inf + 0 411.423 * * [simplify]: Extracting #2: cost 238 inf + 0 411.424 * * [simplify]: Extracting #3: cost 319 inf + 2 411.425 * * [simplify]: Extracting #4: cost 333 inf + 264 411.427 * * [simplify]: Extracting #5: cost 310 inf + 2787 411.438 * * [simplify]: Extracting #6: cost 197 inf + 46102 411.474 * * [simplify]: Extracting #7: cost 43 inf + 164355 411.532 * * [simplify]: Extracting #8: cost 0 inf + 199519 411.566 * * [simplify]: Extracting #9: cost 0 inf + 199268 411.605 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 411.605 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 411.605 * * * * [progress]: [ 510 / 675 ] simplifiying candidate # 411.605 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 411.605 * * [simplify]: iters left: 6 (17 enodes) 411.611 * * [simplify]: iters left: 5 (71 enodes) 411.636 * * [simplify]: iters left: 4 (124 enodes) 411.681 * * [simplify]: iters left: 3 (242 enodes) 411.796 * * [simplify]: Extracting #0: cost 1 inf + 0 411.796 * * [simplify]: Extracting #1: cost 40 inf + 0 411.797 * * [simplify]: Extracting #2: cost 106 inf + 1 411.798 * * [simplify]: Extracting #3: cost 147 inf + 2 411.799 * * [simplify]: Extracting #4: cost 155 inf + 219 411.800 * * [simplify]: Extracting #5: cost 148 inf + 639 411.804 * * [simplify]: Extracting #6: cost 93 inf + 10579 411.814 * * [simplify]: Extracting #7: cost 37 inf + 39478 411.834 * * [simplify]: Extracting #8: cost 1 inf + 63008 411.847 * * [simplify]: Extracting #9: cost 0 inf + 63874 411.858 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 411.858 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 411.859 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 411.859 * * [simplify]: iters left: 6 (16 enodes) 411.868 * * [simplify]: iters left: 5 (68 enodes) 411.891 * * [simplify]: iters left: 4 (116 enodes) 411.929 * * [simplify]: iters left: 3 (205 enodes) 412.006 * * [simplify]: iters left: 2 (426 enodes) 412.153 * * [simplify]: Extracting #0: cost 1 inf + 0 412.154 * * [simplify]: Extracting #1: cost 86 inf + 0 412.155 * * [simplify]: Extracting #2: cost 236 inf + 0 412.157 * * [simplify]: Extracting #3: cost 317 inf + 2 412.160 * * [simplify]: Extracting #4: cost 319 inf + 1169 412.174 * * [simplify]: Extracting #5: cost 232 inf + 28799 412.211 * * [simplify]: Extracting #6: cost 51 inf + 150290 412.262 * * [simplify]: Extracting #7: cost 0 inf + 197371 412.290 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 412.290 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 412.290 * * * * [progress]: [ 511 / 675 ] simplifiying candidate # 412.290 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 412.290 * * [simplify]: iters left: 6 (20 enodes) 412.296 * * [simplify]: iters left: 5 (83 enodes) 412.311 * * [simplify]: iters left: 4 (136 enodes) 412.349 * * [simplify]: iters left: 3 (246 enodes) 412.455 * * [simplify]: Extracting #0: cost 1 inf + 0 412.456 * * [simplify]: Extracting #1: cost 54 inf + 0 412.456 * * [simplify]: Extracting #2: cost 129 inf + 0 412.457 * * [simplify]: Extracting #3: cost 178 inf + 0 412.458 * * [simplify]: Extracting #4: cost 187 inf + 136 412.461 * * [simplify]: Extracting #5: cost 153 inf + 4669 412.466 * * [simplify]: Extracting #6: cost 104 inf + 18019 412.485 * * [simplify]: Extracting #7: cost 23 inf + 74568 412.504 * * [simplify]: Extracting #8: cost 0 inf + 91552 412.518 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 412.518 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 412.518 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 412.518 * * [simplify]: iters left: 6 (18 enodes) 412.524 * * [simplify]: iters left: 5 (74 enodes) 412.537 * * [simplify]: iters left: 4 (122 enodes) 412.572 * * [simplify]: iters left: 3 (211 enodes) 412.649 * * [simplify]: iters left: 2 (432 enodes) 412.796 * * [simplify]: Extracting #0: cost 1 inf + 0 412.797 * * [simplify]: Extracting #1: cost 87 inf + 0 412.797 * * [simplify]: Extracting #2: cost 239 inf + 0 412.798 * * [simplify]: Extracting #3: cost 323 inf + 2 412.800 * * [simplify]: Extracting #4: cost 338 inf + 222 412.801 * * [simplify]: Extracting #5: cost 326 inf + 1818 412.804 * * [simplify]: Extracting #6: cost 274 inf + 8280 412.813 * * [simplify]: Extracting #7: cost 145 inf + 83348 412.843 * * [simplify]: Extracting #8: cost 10 inf + 199910 412.882 * * [simplify]: Extracting #9: cost 0 inf + 210102 412.912 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 412.912 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 412.912 * * * * [progress]: [ 512 / 675 ] simplifiying candidate # 412.913 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 412.913 * * [simplify]: iters left: 6 (17 enodes) 412.918 * * [simplify]: iters left: 5 (72 enodes) 412.931 * * [simplify]: iters left: 4 (112 enodes) 412.962 * * [simplify]: iters left: 3 (180 enodes) 412.997 * * [simplify]: iters left: 2 (349 enodes) 413.118 * * [simplify]: Extracting #0: cost 1 inf + 0 413.118 * * [simplify]: Extracting #1: cost 64 inf + 0 413.119 * * [simplify]: Extracting #2: cost 154 inf + 0 413.120 * * [simplify]: Extracting #3: cost 228 inf + 2 413.122 * * [simplify]: Extracting #4: cost 219 inf + 2408 413.129 * * [simplify]: Extracting #5: cost 145 inf + 25244 413.156 * * [simplify]: Extracting #6: cost 28 inf + 101470 413.172 * * [simplify]: Extracting #7: cost 0 inf + 124353 413.193 * * [simplify]: Extracting #8: cost 0 inf + 122439 413.225 * * [simplify]: Extracting #9: cost 0 inf + 122177 413.251 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 413.251 * [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)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 413.252 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 413.252 * * [simplify]: iters left: 6 (16 enodes) 413.258 * * [simplify]: iters left: 5 (68 enodes) 413.276 * * [simplify]: iters left: 4 (108 enodes) 413.307 * * [simplify]: iters left: 3 (180 enodes) 413.352 * * [simplify]: iters left: 2 (343 enodes) 413.496 * * [simplify]: Extracting #0: cost 1 inf + 0 413.496 * * [simplify]: Extracting #1: cost 50 inf + 0 413.497 * * [simplify]: Extracting #2: cost 133 inf + 0 413.498 * * [simplify]: Extracting #3: cost 209 inf + 2 413.500 * * [simplify]: Extracting #4: cost 196 inf + 5428 413.507 * * [simplify]: Extracting #5: cost 102 inf + 42384 413.522 * * [simplify]: Extracting #6: cost 10 inf + 105451 413.544 * * [simplify]: Extracting #7: cost 0 inf + 110949 413.571 * * [simplify]: Extracting #8: cost 0 inf + 110688 413.586 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 413.586 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))))) 413.586 * * * * [progress]: [ 513 / 675 ] simplifiying candidate # 413.587 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 413.587 * * [simplify]: iters left: 6 (21 enodes) 413.594 * * [simplify]: iters left: 5 (85 enodes) 413.621 * * [simplify]: iters left: 4 (133 enodes) 413.666 * * [simplify]: iters left: 3 (219 enodes) 413.727 * * [simplify]: iters left: 2 (436 enodes) 413.857 * * [simplify]: Extracting #0: cost 1 inf + 0 413.858 * * [simplify]: Extracting #1: cost 88 inf + 0 413.858 * * [simplify]: Extracting #2: cost 241 inf + 0 413.859 * * [simplify]: Extracting #3: cost 329 inf + 2 413.861 * * [simplify]: Extracting #4: cost 345 inf + 264 413.863 * * [simplify]: Extracting #5: cost 316 inf + 5251 413.872 * * [simplify]: Extracting #6: cost 177 inf + 69083 413.915 * * [simplify]: Extracting #7: cost 17 inf + 184918 413.983 * * [simplify]: Extracting #8: cost 0 inf + 195641 414.045 * * [simplify]: Extracting #9: cost 0 inf + 195521 414.099 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) 414.099 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 414.099 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 414.099 * * [simplify]: iters left: 6 (19 enodes) 414.106 * * [simplify]: iters left: 5 (77 enodes) 414.118 * * [simplify]: iters left: 4 (125 enodes) 414.150 * * [simplify]: iters left: 3 (214 enodes) 414.222 * * [simplify]: iters left: 2 (437 enodes) 414.375 * * [simplify]: Extracting #0: cost 1 inf + 0 414.375 * * [simplify]: Extracting #1: cost 91 inf + 0 414.377 * * [simplify]: Extracting #2: cost 243 inf + 0 414.379 * * [simplify]: Extracting #3: cost 326 inf + 2 414.382 * * [simplify]: Extracting #4: cost 341 inf + 264 414.386 * * [simplify]: Extracting #5: cost 322 inf + 2243 414.394 * * [simplify]: Extracting #6: cost 239 inf + 26761 414.413 * * [simplify]: Extracting #7: cost 97 inf + 126360 414.444 * * [simplify]: Extracting #8: cost 1 inf + 204944 414.484 * * [simplify]: Extracting #9: cost 0 inf + 205851 414.518 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))) 414.518 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (cbrt (sqrt k))))))) 414.518 * * * * [progress]: [ 514 / 675 ] simplifiying candidate # 414.519 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 414.519 * * [simplify]: iters left: 6 (19 enodes) 414.529 * * [simplify]: iters left: 5 (78 enodes) 414.548 * * [simplify]: iters left: 4 (126 enodes) 414.569 * * [simplify]: iters left: 3 (215 enodes) 414.622 * * [simplify]: iters left: 2 (439 enodes) 414.789 * * [simplify]: Extracting #0: cost 1 inf + 0 414.789 * * [simplify]: Extracting #1: cost 89 inf + 0 414.790 * * [simplify]: Extracting #2: cost 242 inf + 0 414.791 * * [simplify]: Extracting #3: cost 325 inf + 2 414.792 * * [simplify]: Extracting #4: cost 338 inf + 264 414.794 * * [simplify]: Extracting #5: cost 314 inf + 3022 414.798 * * [simplify]: Extracting #6: cost 225 inf + 26802 414.825 * * [simplify]: Extracting #7: cost 57 inf + 148159 414.863 * * [simplify]: Extracting #8: cost 0 inf + 198948 414.891 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 414.891 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 414.892 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 414.892 * * [simplify]: iters left: 6 (18 enodes) 414.897 * * [simplify]: iters left: 5 (74 enodes) 414.911 * * [simplify]: iters left: 4 (122 enodes) 414.950 * * [simplify]: iters left: 3 (211 enodes) 415.028 * * [simplify]: iters left: 2 (432 enodes) 415.200 * * [simplify]: Extracting #0: cost 1 inf + 0 415.200 * * [simplify]: Extracting #1: cost 87 inf + 0 415.201 * * [simplify]: Extracting #2: cost 239 inf + 0 415.202 * * [simplify]: Extracting #3: cost 323 inf + 2 415.203 * * [simplify]: Extracting #4: cost 338 inf + 222 415.204 * * [simplify]: Extracting #5: cost 326 inf + 1738 415.207 * * [simplify]: Extracting #6: cost 274 inf + 8080 415.222 * * [simplify]: Extracting #7: cost 145 inf + 81628 415.278 * * [simplify]: Extracting #8: cost 10 inf + 195110 415.319 * * [simplify]: Extracting #9: cost 0 inf + 205062 415.366 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 415.366 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 415.366 * * * * [progress]: [ 515 / 675 ] simplifiying candidate # 415.367 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) 415.367 * * [simplify]: iters left: 6 (19 enodes) 415.378 * * [simplify]: iters left: 5 (78 enodes) 415.400 * * [simplify]: iters left: 4 (121 enodes) 415.420 * * [simplify]: iters left: 3 (205 enodes) 415.499 * * [simplify]: iters left: 2 (416 enodes) 415.719 * * [simplify]: Extracting #0: cost 1 inf + 0 415.720 * * [simplify]: Extracting #1: cost 69 inf + 0 415.721 * * [simplify]: Extracting #2: cost 166 inf + 1 415.722 * * [simplify]: Extracting #3: cost 226 inf + 3 415.724 * * [simplify]: Extracting #4: cost 241 inf + 264 415.726 * * [simplify]: Extracting #5: cost 229 inf + 1716 415.736 * * [simplify]: Extracting #6: cost 127 inf + 34045 415.760 * * [simplify]: Extracting #7: cost 27 inf + 103318 415.779 * * [simplify]: Extracting #8: cost 0 inf + 127083 415.812 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) 415.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 415.812 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 415.812 * * [simplify]: iters left: 6 (17 enodes) 415.818 * * [simplify]: iters left: 5 (71 enodes) 415.832 * * [simplify]: iters left: 4 (119 enodes) 415.860 * * [simplify]: iters left: 3 (205 enodes) 415.903 * * [simplify]: iters left: 2 (425 enodes) 416.052 * * [simplify]: Extracting #0: cost 1 inf + 0 416.052 * * [simplify]: Extracting #1: cost 88 inf + 0 416.054 * * [simplify]: Extracting #2: cost 239 inf + 0 416.056 * * [simplify]: Extracting #3: cost 321 inf + 2 416.059 * * [simplify]: Extracting #4: cost 314 inf + 2318 416.070 * * [simplify]: Extracting #5: cost 213 inf + 45051 416.110 * * [simplify]: Extracting #6: cost 44 inf + 160666 416.159 * * [simplify]: Extracting #7: cost 0 inf + 194082 416.186 * * [simplify]: Extracting #8: cost 0 inf + 193580 416.220 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 416.220 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 416.220 * * * * [progress]: [ 516 / 675 ] simplifiying candidate # 416.221 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 416.221 * * [simplify]: iters left: 6 (19 enodes) 416.231 * * [simplify]: iters left: 5 (78 enodes) 416.259 * * [simplify]: iters left: 4 (126 enodes) 416.300 * * [simplify]: iters left: 3 (215 enodes) 416.359 * * [simplify]: iters left: 2 (439 enodes) 416.501 * * [simplify]: Extracting #0: cost 1 inf + 0 416.501 * * [simplify]: Extracting #1: cost 89 inf + 0 416.502 * * [simplify]: Extracting #2: cost 242 inf + 0 416.503 * * [simplify]: Extracting #3: cost 325 inf + 2 416.504 * * [simplify]: Extracting #4: cost 338 inf + 264 416.506 * * [simplify]: Extracting #5: cost 314 inf + 3022 416.510 * * [simplify]: Extracting #6: cost 225 inf + 26802 416.545 * * [simplify]: Extracting #7: cost 57 inf + 148159 416.575 * * [simplify]: Extracting #8: cost 0 inf + 198948 416.611 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 416.611 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 416.611 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 416.611 * * [simplify]: iters left: 6 (18 enodes) 416.616 * * [simplify]: iters left: 5 (74 enodes) 416.640 * * [simplify]: iters left: 4 (122 enodes) 416.674 * * [simplify]: iters left: 3 (211 enodes) 416.720 * * [simplify]: iters left: 2 (432 enodes) 416.884 * * [simplify]: Extracting #0: cost 1 inf + 0 416.884 * * [simplify]: Extracting #1: cost 87 inf + 0 416.885 * * [simplify]: Extracting #2: cost 239 inf + 0 416.886 * * [simplify]: Extracting #3: cost 323 inf + 2 416.888 * * [simplify]: Extracting #4: cost 338 inf + 222 416.889 * * [simplify]: Extracting #5: cost 326 inf + 1738 416.893 * * [simplify]: Extracting #6: cost 274 inf + 8080 416.912 * * [simplify]: Extracting #7: cost 145 inf + 81628 416.958 * * [simplify]: Extracting #8: cost 10 inf + 195110 416.997 * * [simplify]: Extracting #9: cost 0 inf + 205062 417.039 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 417.039 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 417.039 * * * * [progress]: [ 517 / 675 ] simplifiying candidate # 417.040 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 417.040 * * [simplify]: iters left: 6 (18 enodes) 417.045 * * [simplify]: iters left: 5 (75 enodes) 417.060 * * [simplify]: iters left: 4 (118 enodes) 417.089 * * [simplify]: iters left: 3 (200 enodes) 417.147 * * [simplify]: iters left: 2 (414 enodes) 417.383 * * [simplify]: Extracting #0: cost 1 inf + 0 417.383 * * [simplify]: Extracting #1: cost 70 inf + 0 417.384 * * [simplify]: Extracting #2: cost 178 inf + 1 417.385 * * [simplify]: Extracting #3: cost 237 inf + 3 417.386 * * [simplify]: Extracting #4: cost 252 inf + 264 417.387 * * [simplify]: Extracting #5: cost 230 inf + 3169 417.394 * * [simplify]: Extracting #6: cost 108 inf + 51366 417.413 * * [simplify]: Extracting #7: cost 9 inf + 125056 417.456 * * [simplify]: Extracting #8: cost 0 inf + 133142 417.483 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) 417.483 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 417.483 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 417.483 * * [simplify]: iters left: 6 (17 enodes) 417.838 * * [simplify]: iters left: 5 (71 enodes) 417.849 * * [simplify]: iters left: 4 (119 enodes) 417.874 * * [simplify]: iters left: 3 (205 enodes) 417.935 * * [simplify]: iters left: 2 (425 enodes) 418.101 * * [simplify]: Extracting #0: cost 1 inf + 0 418.101 * * [simplify]: Extracting #1: cost 88 inf + 0 418.103 * * [simplify]: Extracting #2: cost 239 inf + 0 418.105 * * [simplify]: Extracting #3: cost 321 inf + 2 418.108 * * [simplify]: Extracting #4: cost 314 inf + 2318 418.119 * * [simplify]: Extracting #5: cost 213 inf + 45051 418.161 * * [simplify]: Extracting #6: cost 44 inf + 160666 418.220 * * [simplify]: Extracting #7: cost 0 inf + 194082 418.274 * * [simplify]: Extracting #8: cost 0 inf + 193580 418.328 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 418.328 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 418.328 * * * * [progress]: [ 518 / 675 ] simplifiying candidate # 418.329 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 418.329 * * [simplify]: iters left: 6 (19 enodes) 418.341 * * [simplify]: iters left: 5 (78 enodes) 418.364 * * [simplify]: iters left: 4 (126 enodes) 418.407 * * [simplify]: iters left: 3 (215 enodes) 418.477 * * [simplify]: iters left: 2 (439 enodes) 418.606 * * [simplify]: Extracting #0: cost 1 inf + 0 418.606 * * [simplify]: Extracting #1: cost 89 inf + 0 418.608 * * [simplify]: Extracting #2: cost 242 inf + 0 418.609 * * [simplify]: Extracting #3: cost 325 inf + 2 418.612 * * [simplify]: Extracting #4: cost 338 inf + 264 418.615 * * [simplify]: Extracting #5: cost 314 inf + 3022 418.624 * * [simplify]: Extracting #6: cost 225 inf + 26802 418.665 * * [simplify]: Extracting #7: cost 57 inf + 148159 418.722 * * [simplify]: Extracting #8: cost 0 inf + 198948 418.773 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 418.773 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 418.773 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 418.773 * * [simplify]: iters left: 6 (18 enodes) 418.779 * * [simplify]: iters left: 5 (74 enodes) 418.792 * * [simplify]: iters left: 4 (122 enodes) 418.828 * * [simplify]: iters left: 3 (211 enodes) 418.886 * * [simplify]: iters left: 2 (432 enodes) 419.043 * * [simplify]: Extracting #0: cost 1 inf + 0 419.043 * * [simplify]: Extracting #1: cost 87 inf + 0 419.045 * * [simplify]: Extracting #2: cost 239 inf + 0 419.046 * * [simplify]: Extracting #3: cost 323 inf + 2 419.049 * * [simplify]: Extracting #4: cost 338 inf + 222 419.052 * * [simplify]: Extracting #5: cost 326 inf + 1738 419.056 * * [simplify]: Extracting #6: cost 274 inf + 8080 419.073 * * [simplify]: Extracting #7: cost 145 inf + 81628 419.123 * * [simplify]: Extracting #8: cost 10 inf + 195110 419.180 * * [simplify]: Extracting #9: cost 0 inf + 205062 419.239 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 419.239 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 419.239 * * * * [progress]: [ 519 / 675 ] simplifiying candidate # 419.239 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 419.239 * * [simplify]: iters left: 6 (17 enodes) 419.248 * * [simplify]: iters left: 5 (70 enodes) 419.266 * * [simplify]: iters left: 4 (114 enodes) 419.288 * * [simplify]: iters left: 3 (197 enodes) 419.329 * * [simplify]: iters left: 2 (414 enodes) 419.545 * * [simplify]: Extracting #0: cost 1 inf + 0 419.545 * * [simplify]: Extracting #1: cost 64 inf + 0 419.546 * * [simplify]: Extracting #2: cost 169 inf + 1 419.548 * * [simplify]: Extracting #3: cost 233 inf + 3 419.550 * * [simplify]: Extracting #4: cost 246 inf + 264 419.553 * * [simplify]: Extracting #5: cost 228 inf + 2507 419.559 * * [simplify]: Extracting #6: cost 158 inf + 16788 419.586 * * [simplify]: Extracting #7: cost 39 inf + 101728 419.628 * * [simplify]: Extracting #8: cost 0 inf + 135500 419.650 * * [simplify]: Extracting #9: cost 0 inf + 134746 419.688 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) 419.688 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 419.689 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 419.689 * * [simplify]: iters left: 6 (17 enodes) 419.694 * * [simplify]: iters left: 5 (71 enodes) 419.707 * * [simplify]: iters left: 4 (119 enodes) 419.733 * * [simplify]: iters left: 3 (205 enodes) 419.806 * * [simplify]: iters left: 2 (425 enodes) 419.965 * * [simplify]: Extracting #0: cost 1 inf + 0 419.966 * * [simplify]: Extracting #1: cost 88 inf + 0 419.967 * * [simplify]: Extracting #2: cost 239 inf + 0 419.969 * * [simplify]: Extracting #3: cost 321 inf + 2 419.972 * * [simplify]: Extracting #4: cost 314 inf + 2318 419.984 * * [simplify]: Extracting #5: cost 213 inf + 45051 420.011 * * [simplify]: Extracting #6: cost 44 inf + 160666 420.060 * * [simplify]: Extracting #7: cost 0 inf + 194082 420.113 * * [simplify]: Extracting #8: cost 0 inf + 193580 420.164 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 420.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 420.164 * * * * [progress]: [ 520 / 675 ] simplifiying candidate # 420.164 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 420.165 * * [simplify]: iters left: 6 (21 enodes) 420.170 * * [simplify]: iters left: 5 (86 enodes) 420.185 * * [simplify]: iters left: 4 (139 enodes) 420.231 * * [simplify]: iters left: 3 (249 enodes) 420.299 * * [simplify]: Extracting #0: cost 1 inf + 0 420.299 * * [simplify]: Extracting #1: cost 54 inf + 0 420.300 * * [simplify]: Extracting #2: cost 128 inf + 0 420.300 * * [simplify]: Extracting #3: cost 177 inf + 0 420.301 * * [simplify]: Extracting #4: cost 186 inf + 220 420.302 * * [simplify]: Extracting #5: cost 159 inf + 3442 420.304 * * [simplify]: Extracting #6: cost 115 inf + 11311 420.311 * * [simplify]: Extracting #7: cost 51 inf + 53594 420.334 * * [simplify]: Extracting #8: cost 0 inf + 93637 420.364 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (fabs (cbrt k))) (cbrt (sqrt (sqrt k)))))) 420.364 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (fabs (cbrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))))) 420.365 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) 420.365 * * [simplify]: iters left: 6 (19 enodes) 420.375 * * [simplify]: iters left: 5 (77 enodes) 420.401 * * [simplify]: iters left: 4 (125 enodes) 420.427 * * [simplify]: iters left: 3 (214 enodes) 420.495 * * [simplify]: iters left: 2 (437 enodes) 420.670 * * [simplify]: Extracting #0: cost 1 inf + 0 420.670 * * [simplify]: Extracting #1: cost 91 inf + 0 420.671 * * [simplify]: Extracting #2: cost 243 inf + 0 420.672 * * [simplify]: Extracting #3: cost 326 inf + 2 420.673 * * [simplify]: Extracting #4: cost 341 inf + 264 420.675 * * [simplify]: Extracting #5: cost 322 inf + 2203 420.679 * * [simplify]: Extracting #6: cost 239 inf + 26681 420.703 * * [simplify]: Extracting #7: cost 97 inf + 126280 420.744 * * [simplify]: Extracting #8: cost 1 inf + 204864 420.784 * * [simplify]: Extracting #9: cost 0 inf + 205771 420.838 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 420.838 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 420.838 * * * * [progress]: [ 521 / 675 ] simplifiying candidate # 420.839 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 420.839 * * [simplify]: iters left: 6 (21 enodes) 420.845 * * [simplify]: iters left: 5 (85 enodes) 420.859 * * [simplify]: iters left: 4 (133 enodes) 420.895 * * [simplify]: iters left: 3 (219 enodes) 420.956 * * [simplify]: iters left: 2 (436 enodes) 421.117 * * [simplify]: Extracting #0: cost 1 inf + 0 421.117 * * [simplify]: Extracting #1: cost 88 inf + 0 421.118 * * [simplify]: Extracting #2: cost 241 inf + 0 421.120 * * [simplify]: Extracting #3: cost 329 inf + 2 421.123 * * [simplify]: Extracting #4: cost 345 inf + 264 421.126 * * [simplify]: Extracting #5: cost 318 inf + 4929 421.146 * * [simplify]: Extracting #6: cost 178 inf + 68922 421.178 * * [simplify]: Extracting #7: cost 17 inf + 184918 421.210 * * [simplify]: Extracting #8: cost 0 inf + 195641 421.262 * * [simplify]: Extracting #9: cost 0 inf + 195521 421.324 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (fabs (cbrt k))) (fabs (cbrt (sqrt k))))) 421.325 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (fabs (cbrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))))) 421.325 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) 421.325 * * [simplify]: iters left: 6 (19 enodes) 421.335 * * [simplify]: iters left: 5 (77 enodes) 421.360 * * [simplify]: iters left: 4 (125 enodes) 421.400 * * [simplify]: iters left: 3 (214 enodes) 421.445 * * [simplify]: iters left: 2 (437 enodes) 421.604 * * [simplify]: Extracting #0: cost 1 inf + 0 421.604 * * [simplify]: Extracting #1: cost 91 inf + 0 421.605 * * [simplify]: Extracting #2: cost 243 inf + 0 421.606 * * [simplify]: Extracting #3: cost 326 inf + 2 421.607 * * [simplify]: Extracting #4: cost 341 inf + 264 421.609 * * [simplify]: Extracting #5: cost 322 inf + 2243 421.613 * * [simplify]: Extracting #6: cost 239 inf + 26761 421.643 * * [simplify]: Extracting #7: cost 97 inf + 126360 421.671 * * [simplify]: Extracting #8: cost 1 inf + 204944 421.715 * * [simplify]: Extracting #9: cost 0 inf + 205851 421.754 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 421.754 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 421.755 * * * * [progress]: [ 522 / 675 ] simplifiying candidate # 421.755 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 421.755 * * [simplify]: iters left: 6 (17 enodes) 421.765 * * [simplify]: iters left: 5 (72 enodes) 421.788 * * [simplify]: iters left: 4 (112 enodes) 421.808 * * [simplify]: iters left: 3 (181 enodes) 421.866 * * [simplify]: iters left: 2 (336 enodes) 421.972 * * [simplify]: Extracting #0: cost 1 inf + 0 421.972 * * [simplify]: Extracting #1: cost 50 inf + 0 421.972 * * [simplify]: Extracting #2: cost 133 inf + 0 421.973 * * [simplify]: Extracting #3: cost 210 inf + 2 421.974 * * [simplify]: Extracting #4: cost 200 inf + 3066 421.977 * * [simplify]: Extracting #5: cost 136 inf + 20113 421.988 * * [simplify]: Extracting #6: cost 13 inf + 102570 422.002 * * [simplify]: Extracting #7: cost 0 inf + 111503 422.036 * * [simplify]: Extracting #8: cost 0 inf + 111109 422.064 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k))) 422.064 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))))) 422.064 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) 422.064 * * [simplify]: iters left: 6 (16 enodes) 422.069 * * [simplify]: iters left: 5 (68 enodes) 422.081 * * [simplify]: iters left: 4 (108 enodes) 422.106 * * [simplify]: iters left: 3 (180 enodes) 422.171 * * [simplify]: iters left: 2 (343 enodes) 422.269 * * [simplify]: Extracting #0: cost 1 inf + 0 422.269 * * [simplify]: Extracting #1: cost 50 inf + 0 422.270 * * [simplify]: Extracting #2: cost 133 inf + 0 422.271 * * [simplify]: Extracting #3: cost 209 inf + 2 422.273 * * [simplify]: Extracting #4: cost 196 inf + 5468 422.279 * * [simplify]: Extracting #5: cost 102 inf + 42464 422.292 * * [simplify]: Extracting #6: cost 10 inf + 105531 422.311 * * [simplify]: Extracting #7: cost 0 inf + 111029 422.326 * * [simplify]: Extracting #8: cost 0 inf + 110768 422.351 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 422.351 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))))) 422.352 * * * * [progress]: [ 523 / 675 ] simplifiying candidate # 422.352 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 422.352 * * [simplify]: iters left: 6 (20 enodes) 422.361 * * [simplify]: iters left: 5 (81 enodes) 422.375 * * [simplify]: iters left: 4 (129 enodes) 422.404 * * [simplify]: iters left: 3 (216 enodes) 422.462 * * [simplify]: iters left: 2 (432 enodes) 422.611 * * [simplify]: Extracting #0: cost 1 inf + 0 422.611 * * [simplify]: Extracting #1: cost 86 inf + 0 422.612 * * [simplify]: Extracting #2: cost 235 inf + 0 422.613 * * [simplify]: Extracting #3: cost 318 inf + 2 422.614 * * [simplify]: Extracting #4: cost 334 inf + 306 422.616 * * [simplify]: Extracting #5: cost 315 inf + 2445 422.620 * * [simplify]: Extracting #6: cost 232 inf + 26270 422.642 * * [simplify]: Extracting #7: cost 66 inf + 149286 422.696 * * [simplify]: Extracting #8: cost 0 inf + 202069 422.733 * * [simplify]: Extracting #9: cost 0 inf + 201475 422.779 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 422.779 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 422.780 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 422.780 * * [simplify]: iters left: 6 (19 enodes) 422.790 * * [simplify]: iters left: 5 (77 enodes) 422.816 * * [simplify]: iters left: 4 (125 enodes) 422.857 * * [simplify]: iters left: 3 (214 enodes) 422.917 * * [simplify]: iters left: 2 (437 enodes) 423.121 * * [simplify]: Extracting #0: cost 1 inf + 0 423.121 * * [simplify]: Extracting #1: cost 91 inf + 0 423.122 * * [simplify]: Extracting #2: cost 243 inf + 0 423.123 * * [simplify]: Extracting #3: cost 326 inf + 2 423.125 * * [simplify]: Extracting #4: cost 341 inf + 264 423.126 * * [simplify]: Extracting #5: cost 322 inf + 2203 423.134 * * [simplify]: Extracting #6: cost 239 inf + 25961 423.150 * * [simplify]: Extracting #7: cost 97 inf + 123040 423.186 * * [simplify]: Extracting #8: cost 1 inf + 199744 423.231 * * [simplify]: Extracting #9: cost 0 inf + 200611 423.290 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 423.291 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 423.291 * * * * [progress]: [ 524 / 675 ] simplifiying candidate # 423.291 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) 423.291 * * [simplify]: iters left: 6 (19 enodes) 423.301 * * [simplify]: iters left: 5 (78 enodes) 423.314 * * [simplify]: iters left: 4 (121 enodes) 423.340 * * [simplify]: iters left: 3 (205 enodes) 423.408 * * [simplify]: iters left: 2 (416 enodes) 423.565 * * [simplify]: Extracting #0: cost 1 inf + 0 423.565 * * [simplify]: Extracting #1: cost 69 inf + 0 423.566 * * [simplify]: Extracting #2: cost 165 inf + 1 423.568 * * [simplify]: Extracting #3: cost 225 inf + 3 423.570 * * [simplify]: Extracting #4: cost 241 inf + 264 423.572 * * [simplify]: Extracting #5: cost 224 inf + 2441 423.583 * * [simplify]: Extracting #6: cost 106 inf + 51054 423.601 * * [simplify]: Extracting #7: cost 7 inf + 121177 423.625 * * [simplify]: Extracting #8: cost 0 inf + 127083 423.645 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) 423.645 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 423.645 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 423.645 * * [simplify]: iters left: 6 (18 enodes) 423.650 * * [simplify]: iters left: 5 (74 enodes) 423.663 * * [simplify]: iters left: 4 (122 enodes) 423.683 * * [simplify]: iters left: 3 (211 enodes) 423.761 * * [simplify]: iters left: 2 (432 enodes) 423.909 * * [simplify]: Extracting #0: cost 1 inf + 0 423.909 * * [simplify]: Extracting #1: cost 87 inf + 0 423.911 * * [simplify]: Extracting #2: cost 239 inf + 0 423.913 * * [simplify]: Extracting #3: cost 324 inf + 2 423.915 * * [simplify]: Extracting #4: cost 328 inf + 1034 423.919 * * [simplify]: Extracting #5: cost 286 inf + 7256 423.938 * * [simplify]: Extracting #6: cost 145 inf + 82629 423.987 * * [simplify]: Extracting #7: cost 10 inf + 191500 424.022 * * [simplify]: Extracting #8: cost 0 inf + 198380 424.068 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 424.068 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 424.069 * * * * [progress]: [ 525 / 675 ] simplifiying candidate # 424.069 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 424.069 * * [simplify]: iters left: 6 (20 enodes) 424.079 * * [simplify]: iters left: 5 (81 enodes) 424.093 * * [simplify]: iters left: 4 (129 enodes) 424.117 * * [simplify]: iters left: 3 (216 enodes) 424.199 * * [simplify]: iters left: 2 (432 enodes) 424.363 * * [simplify]: Extracting #0: cost 1 inf + 0 424.364 * * [simplify]: Extracting #1: cost 86 inf + 0 424.364 * * [simplify]: Extracting #2: cost 235 inf + 0 424.366 * * [simplify]: Extracting #3: cost 318 inf + 2 424.367 * * [simplify]: Extracting #4: cost 334 inf + 306 424.369 * * [simplify]: Extracting #5: cost 315 inf + 2445 424.372 * * [simplify]: Extracting #6: cost 232 inf + 26270 424.398 * * [simplify]: Extracting #7: cost 66 inf + 149286 424.451 * * [simplify]: Extracting #8: cost 0 inf + 202069 424.506 * * [simplify]: Extracting #9: cost 0 inf + 201475 424.534 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 424.535 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 424.535 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 424.535 * * [simplify]: iters left: 6 (19 enodes) 424.546 * * [simplify]: iters left: 5 (77 enodes) 424.565 * * [simplify]: iters left: 4 (125 enodes) 424.586 * * [simplify]: iters left: 3 (214 enodes) 424.641 * * [simplify]: iters left: 2 (437 enodes) 424.762 * * [simplify]: Extracting #0: cost 1 inf + 0 424.762 * * [simplify]: Extracting #1: cost 91 inf + 0 424.763 * * [simplify]: Extracting #2: cost 243 inf + 0 424.764 * * [simplify]: Extracting #3: cost 326 inf + 2 424.765 * * [simplify]: Extracting #4: cost 341 inf + 264 424.767 * * [simplify]: Extracting #5: cost 322 inf + 2203 424.772 * * [simplify]: Extracting #6: cost 239 inf + 25961 424.802 * * [simplify]: Extracting #7: cost 97 inf + 123040 424.856 * * [simplify]: Extracting #8: cost 1 inf + 199744 424.906 * * [simplify]: Extracting #9: cost 0 inf + 200611 424.935 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 424.935 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 424.935 * * * * [progress]: [ 526 / 675 ] simplifiying candidate # 424.936 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) 424.936 * * [simplify]: iters left: 6 (18 enodes) 424.946 * * [simplify]: iters left: 5 (75 enodes) 424.971 * * [simplify]: iters left: 4 (118 enodes) 425.008 * * [simplify]: iters left: 3 (200 enodes) 425.051 * * [simplify]: iters left: 2 (414 enodes) 425.227 * * [simplify]: Extracting #0: cost 1 inf + 0 425.228 * * [simplify]: Extracting #1: cost 70 inf + 0 425.228 * * [simplify]: Extracting #2: cost 177 inf + 1 425.229 * * [simplify]: Extracting #3: cost 236 inf + 3 425.230 * * [simplify]: Extracting #4: cost 252 inf + 264 425.232 * * [simplify]: Extracting #5: cost 222 inf + 6157 425.244 * * [simplify]: Extracting #6: cost 79 inf + 73754 425.280 * * [simplify]: Extracting #7: cost 0 inf + 132959 425.323 * * [simplify]: Extracting #8: cost 0 inf + 132880 425.366 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) 425.366 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 425.366 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 425.367 * * [simplify]: iters left: 6 (18 enodes) 425.377 * * [simplify]: iters left: 5 (74 enodes) 425.403 * * [simplify]: iters left: 4 (122 enodes) 425.443 * * [simplify]: iters left: 3 (211 enodes) 425.521 * * [simplify]: iters left: 2 (432 enodes) 425.672 * * [simplify]: Extracting #0: cost 1 inf + 0 425.673 * * [simplify]: Extracting #1: cost 87 inf + 0 425.673 * * [simplify]: Extracting #2: cost 239 inf + 0 425.674 * * [simplify]: Extracting #3: cost 324 inf + 2 425.676 * * [simplify]: Extracting #4: cost 328 inf + 1034 425.678 * * [simplify]: Extracting #5: cost 286 inf + 7256 425.692 * * [simplify]: Extracting #6: cost 145 inf + 82629 425.747 * * [simplify]: Extracting #7: cost 10 inf + 191500 425.791 * * [simplify]: Extracting #8: cost 0 inf + 198380 425.831 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 425.831 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 425.832 * * * * [progress]: [ 527 / 675 ] simplifiying candidate # 425.832 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) 425.832 * * [simplify]: iters left: 6 (20 enodes) 425.843 * * [simplify]: iters left: 5 (81 enodes) 425.870 * * [simplify]: iters left: 4 (129 enodes) 425.914 * * [simplify]: iters left: 3 (216 enodes) 425.991 * * [simplify]: iters left: 2 (432 enodes) 426.160 * * [simplify]: Extracting #0: cost 1 inf + 0 426.160 * * [simplify]: Extracting #1: cost 86 inf + 0 426.161 * * [simplify]: Extracting #2: cost 235 inf + 0 426.162 * * [simplify]: Extracting #3: cost 318 inf + 2 426.163 * * [simplify]: Extracting #4: cost 334 inf + 306 426.165 * * [simplify]: Extracting #5: cost 315 inf + 2445 426.169 * * [simplify]: Extracting #6: cost 232 inf + 26270 426.200 * * [simplify]: Extracting #7: cost 66 inf + 149286 426.260 * * [simplify]: Extracting #8: cost 0 inf + 202069 426.316 * * [simplify]: Extracting #9: cost 0 inf + 201475 426.372 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 426.372 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))))) 426.372 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) 426.372 * * [simplify]: iters left: 6 (19 enodes) 426.382 * * [simplify]: iters left: 5 (77 enodes) 426.410 * * [simplify]: iters left: 4 (125 enodes) 426.450 * * [simplify]: iters left: 3 (214 enodes) 426.529 * * [simplify]: iters left: 2 (437 enodes) 426.684 * * [simplify]: Extracting #0: cost 1 inf + 0 426.684 * * [simplify]: Extracting #1: cost 91 inf + 0 426.686 * * [simplify]: Extracting #2: cost 243 inf + 0 426.688 * * [simplify]: Extracting #3: cost 326 inf + 2 426.691 * * [simplify]: Extracting #4: cost 341 inf + 264 426.694 * * [simplify]: Extracting #5: cost 322 inf + 2203 426.702 * * [simplify]: Extracting #6: cost 239 inf + 25961 426.725 * * [simplify]: Extracting #7: cost 97 inf + 123040 426.766 * * [simplify]: Extracting #8: cost 1 inf + 199744 426.823 * * [simplify]: Extracting #9: cost 0 inf + 200611 426.879 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))) 426.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))) 426.879 * * * * [progress]: [ 528 / 675 ] simplifiying candidate # 426.879 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) 426.879 * * [simplify]: iters left: 6 (17 enodes) 426.884 * * [simplify]: iters left: 5 (70 enodes) 426.898 * * [simplify]: iters left: 4 (114 enodes) 426.928 * * [simplify]: iters left: 3 (197 enodes) 426.981 * * [simplify]: iters left: 2 (414 enodes) 427.142 * * [simplify]: Extracting #0: cost 1 inf + 0 427.142 * * [simplify]: Extracting #1: cost 64 inf + 0 427.143 * * [simplify]: Extracting #2: cost 168 inf + 1 427.145 * * [simplify]: Extracting #3: cost 232 inf + 3 427.147 * * [simplify]: Extracting #4: cost 246 inf + 264 427.149 * * [simplify]: Extracting #5: cost 226 inf + 2829 427.157 * * [simplify]: Extracting #6: cost 149 inf + 22759 427.188 * * [simplify]: Extracting #7: cost 26 inf + 114450 427.231 * * [simplify]: Extracting #8: cost 0 inf + 135500 427.277 * * [simplify]: Extracting #9: cost 0 inf + 134746 427.300 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) 427.300 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))) 427.300 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) 427.300 * * [simplify]: iters left: 6 (18 enodes) 427.306 * * [simplify]: iters left: 5 (74 enodes) 427.331 * * [simplify]: iters left: 4 (122 enodes) 427.356 * * [simplify]: iters left: 3 (211 enodes) 427.421 * * [simplify]: iters left: 2 (432 enodes) 427.576 * * [simplify]: Extracting #0: cost 1 inf + 0 427.576 * * [simplify]: Extracting #1: cost 87 inf + 0 427.576 * * [simplify]: Extracting #2: cost 239 inf + 0 427.578 * * [simplify]: Extracting #3: cost 324 inf + 2 427.579 * * [simplify]: Extracting #4: cost 328 inf + 1034 427.581 * * [simplify]: Extracting #5: cost 286 inf + 7256 427.591 * * [simplify]: Extracting #6: cost 145 inf + 82629 427.622 * * [simplify]: Extracting #7: cost 10 inf + 191500 427.652 * * [simplify]: Extracting #8: cost 0 inf + 198380 427.707 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))) 427.707 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k)))))) 427.708 * * * * [progress]: [ 529 / 675 ] simplifiying candidate # 427.708 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 427.708 * * [simplify]: iters left: 6 (18 enodes) 427.719 * * [simplify]: iters left: 5 (76 enodes) 427.743 * * [simplify]: iters left: 4 (129 enodes) 427.786 * * [simplify]: iters left: 3 (239 enodes) 427.887 * * [simplify]: Extracting #0: cost 1 inf + 0 427.887 * * [simplify]: Extracting #1: cost 54 inf + 0 427.888 * * [simplify]: Extracting #2: cost 126 inf + 0 427.889 * * [simplify]: Extracting #3: cost 173 inf + 0 427.890 * * [simplify]: Extracting #4: cost 181 inf + 178 427.892 * * [simplify]: Extracting #5: cost 148 inf + 3634 427.898 * * [simplify]: Extracting #6: cost 72 inf + 34343 427.908 * * [simplify]: Extracting #7: cost 17 inf + 72324 427.920 * * [simplify]: Extracting #8: cost 0 inf + 85488 427.946 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 427.946 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 427.946 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 427.947 * * [simplify]: iters left: 6 (17 enodes) 427.956 * * [simplify]: iters left: 5 (71 enodes) 427.972 * * [simplify]: iters left: 4 (119 enodes) 427.991 * * [simplify]: iters left: 3 (205 enodes) 428.055 * * [simplify]: iters left: 2 (425 enodes) 428.244 * * [simplify]: Extracting #0: cost 1 inf + 0 428.244 * * [simplify]: Extracting #1: cost 88 inf + 0 428.246 * * [simplify]: Extracting #2: cost 238 inf + 0 428.248 * * [simplify]: Extracting #3: cost 319 inf + 2 428.250 * * [simplify]: Extracting #4: cost 333 inf + 264 428.254 * * [simplify]: Extracting #5: cost 310 inf + 2787 428.266 * * [simplify]: Extracting #6: cost 197 inf + 46182 428.292 * * [simplify]: Extracting #7: cost 43 inf + 164595 428.329 * * [simplify]: Extracting #8: cost 0 inf + 199519 428.358 * * [simplify]: Extracting #9: cost 0 inf + 199268 428.397 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 428.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 428.398 * * * * [progress]: [ 530 / 675 ] simplifiying candidate # 428.398 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 428.398 * * [simplify]: iters left: 6 (19 enodes) 428.409 * * [simplify]: iters left: 5 (78 enodes) 428.422 * * [simplify]: iters left: 4 (126 enodes) 428.444 * * [simplify]: iters left: 3 (215 enodes) 428.497 * * [simplify]: iters left: 2 (439 enodes) 428.640 * * [simplify]: Extracting #0: cost 1 inf + 0 428.640 * * [simplify]: Extracting #1: cost 89 inf + 0 428.641 * * [simplify]: Extracting #2: cost 242 inf + 0 428.643 * * [simplify]: Extracting #3: cost 325 inf + 2 428.644 * * [simplify]: Extracting #4: cost 338 inf + 264 428.649 * * [simplify]: Extracting #5: cost 325 inf + 1881 428.652 * * [simplify]: Extracting #6: cost 262 inf + 10516 428.665 * * [simplify]: Extracting #7: cost 110 inf + 114965 428.712 * * [simplify]: Extracting #8: cost 1 inf + 211503 428.751 * * [simplify]: Extracting #9: cost 0 inf + 208849 428.811 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 428.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 428.812 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 428.812 * * [simplify]: iters left: 6 (18 enodes) 428.822 * * [simplify]: iters left: 5 (74 enodes) 428.845 * * [simplify]: iters left: 4 (122 enodes) 428.883 * * [simplify]: iters left: 3 (211 enodes) 428.940 * * [simplify]: iters left: 2 (432 enodes) 429.085 * * [simplify]: Extracting #0: cost 1 inf + 0 429.086 * * [simplify]: Extracting #1: cost 87 inf + 0 429.086 * * [simplify]: Extracting #2: cost 239 inf + 0 429.087 * * [simplify]: Extracting #3: cost 323 inf + 2 429.088 * * [simplify]: Extracting #4: cost 338 inf + 222 429.090 * * [simplify]: Extracting #5: cost 326 inf + 1738 429.092 * * [simplify]: Extracting #6: cost 274 inf + 8080 429.101 * * [simplify]: Extracting #7: cost 145 inf + 81348 429.144 * * [simplify]: Extracting #8: cost 10 inf + 195110 429.186 * * [simplify]: Extracting #9: cost 0 inf + 205022 429.238 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 429.238 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 429.238 * * * * [progress]: [ 531 / 675 ] simplifiying candidate # 429.238 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 429.239 * * [simplify]: iters left: 6 (20 enodes) 429.250 * * [simplify]: iters left: 5 (81 enodes) 429.275 * * [simplify]: iters left: 4 (129 enodes) 429.306 * * [simplify]: iters left: 3 (216 enodes) 429.359 * * [simplify]: iters left: 2 (432 enodes) 429.498 * * [simplify]: Extracting #0: cost 1 inf + 0 429.498 * * [simplify]: Extracting #1: cost 86 inf + 0 429.499 * * [simplify]: Extracting #2: cost 235 inf + 0 429.500 * * [simplify]: Extracting #3: cost 318 inf + 2 429.501 * * [simplify]: Extracting #4: cost 335 inf + 264 429.503 * * [simplify]: Extracting #5: cost 308 inf + 3095 429.509 * * [simplify]: Extracting #6: cost 179 inf + 58318 429.533 * * [simplify]: Extracting #7: cost 35 inf + 174793 429.574 * * [simplify]: Extracting #8: cost 0 inf + 203226 429.606 * * [simplify]: Extracting #9: cost 0 inf + 202563 429.661 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 429.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 429.661 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 429.661 * * [simplify]: iters left: 6 (19 enodes) 429.666 * * [simplify]: iters left: 5 (77 enodes) 429.679 * * [simplify]: iters left: 4 (125 enodes) 429.710 * * [simplify]: iters left: 3 (214 enodes) 429.790 * * [simplify]: iters left: 2 (437 enodes) 429.955 * * [simplify]: Extracting #0: cost 1 inf + 0 429.955 * * [simplify]: Extracting #1: cost 91 inf + 0 429.957 * * [simplify]: Extracting #2: cost 243 inf + 0 429.959 * * [simplify]: Extracting #3: cost 326 inf + 2 429.962 * * [simplify]: Extracting #4: cost 341 inf + 264 429.965 * * [simplify]: Extracting #5: cost 322 inf + 2243 429.973 * * [simplify]: Extracting #6: cost 239 inf + 26081 429.991 * * [simplify]: Extracting #7: cost 97 inf + 123120 430.019 * * [simplify]: Extracting #8: cost 1 inf + 199704 430.058 * * [simplify]: Extracting #9: cost 0 inf + 200571 430.114 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 430.114 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 430.114 * * * * [progress]: [ 532 / 675 ] simplifiying candidate # 430.115 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 430.115 * * [simplify]: iters left: 6 (16 enodes) 430.124 * * [simplify]: iters left: 5 (68 enodes) 430.147 * * [simplify]: iters left: 4 (108 enodes) 430.187 * * [simplify]: iters left: 3 (180 enodes) 430.253 * * [simplify]: iters left: 2 (343 enodes) 430.354 * * [simplify]: Extracting #0: cost 1 inf + 0 430.354 * * [simplify]: Extracting #1: cost 50 inf + 0 430.355 * * [simplify]: Extracting #2: cost 133 inf + 0 430.355 * * [simplify]: Extracting #3: cost 209 inf + 2 430.357 * * [simplify]: Extracting #4: cost 196 inf + 5228 430.362 * * [simplify]: Extracting #5: cost 102 inf + 40944 430.375 * * [simplify]: Extracting #6: cost 10 inf + 101931 430.410 * * [simplify]: Extracting #7: cost 0 inf + 107149 430.440 * * [simplify]: Extracting #8: cost 0 inf + 106888 430.459 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 430.459 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 430.460 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 430.460 * * [simplify]: iters left: 6 (16 enodes) 430.465 * * [simplify]: iters left: 5 (68 enodes) 430.477 * * [simplify]: iters left: 4 (108 enodes) 430.495 * * [simplify]: iters left: 3 (180 enodes) 430.533 * * [simplify]: iters left: 2 (343 enodes) 430.640 * * [simplify]: Extracting #0: cost 1 inf + 0 430.640 * * [simplify]: Extracting #1: cost 50 inf + 0 430.640 * * [simplify]: Extracting #2: cost 133 inf + 0 430.642 * * [simplify]: Extracting #3: cost 209 inf + 2 430.644 * * [simplify]: Extracting #4: cost 196 inf + 5228 430.655 * * [simplify]: Extracting #5: cost 102 inf + 40944 430.679 * * [simplify]: Extracting #6: cost 10 inf + 101931 430.701 * * [simplify]: Extracting #7: cost 0 inf + 107149 430.719 * * [simplify]: Extracting #8: cost 0 inf + 106888 430.737 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 430.737 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 430.737 * * * * [progress]: [ 533 / 675 ] simplifiying candidate # 430.737 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 430.738 * * [simplify]: iters left: 6 (18 enodes) 430.749 * * [simplify]: iters left: 5 (74 enodes) 430.774 * * [simplify]: iters left: 4 (117 enodes) 430.796 * * [simplify]: iters left: 3 (201 enodes) 430.871 * * [simplify]: iters left: 2 (415 enodes) 431.066 * * [simplify]: Extracting #0: cost 1 inf + 0 431.066 * * [simplify]: Extracting #1: cost 68 inf + 0 431.067 * * [simplify]: Extracting #2: cost 163 inf + 1 431.068 * * [simplify]: Extracting #3: cost 222 inf + 3 431.069 * * [simplify]: Extracting #4: cost 239 inf + 139 431.070 * * [simplify]: Extracting #5: cost 218 inf + 3592 431.075 * * [simplify]: Extracting #6: cost 130 inf + 26439 431.104 * * [simplify]: Extracting #7: cost 24 inf + 99728 431.149 * * [simplify]: Extracting #8: cost 0 inf + 119735 431.173 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 431.173 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 431.174 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 431.174 * * [simplify]: iters left: 6 (16 enodes) 431.179 * * [simplify]: iters left: 5 (68 enodes) 431.191 * * [simplify]: iters left: 4 (116 enodes) 431.211 * * [simplify]: iters left: 3 (205 enodes) 431.270 * * [simplify]: iters left: 2 (426 enodes) 431.444 * * [simplify]: Extracting #0: cost 1 inf + 0 431.445 * * [simplify]: Extracting #1: cost 86 inf + 0 431.446 * * [simplify]: Extracting #2: cost 236 inf + 0 431.453 * * [simplify]: Extracting #3: cost 317 inf + 2 431.456 * * [simplify]: Extracting #4: cost 319 inf + 1129 431.464 * * [simplify]: Extracting #5: cost 232 inf + 28039 431.502 * * [simplify]: Extracting #6: cost 51 inf + 146810 431.555 * * [simplify]: Extracting #7: cost 0 inf + 192411 431.604 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 431.604 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 431.604 * * * * [progress]: [ 534 / 675 ] simplifiying candidate # 431.604 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 431.604 * * [simplify]: iters left: 6 (16 enodes) 431.611 * * [simplify]: iters left: 5 (68 enodes) 431.622 * * [simplify]: iters left: 4 (108 enodes) 431.641 * * [simplify]: iters left: 3 (180 enodes) 431.684 * * [simplify]: iters left: 2 (343 enodes) 431.795 * * [simplify]: Extracting #0: cost 1 inf + 0 431.795 * * [simplify]: Extracting #1: cost 50 inf + 0 431.796 * * [simplify]: Extracting #2: cost 133 inf + 0 431.800 * * [simplify]: Extracting #3: cost 209 inf + 2 431.803 * * [simplify]: Extracting #4: cost 196 inf + 5228 431.814 * * [simplify]: Extracting #5: cost 102 inf + 40944 431.839 * * [simplify]: Extracting #6: cost 10 inf + 101931 431.868 * * [simplify]: Extracting #7: cost 0 inf + 107149 431.894 * * [simplify]: Extracting #8: cost 0 inf + 106888 431.909 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 431.909 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 431.909 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 431.909 * * [simplify]: iters left: 6 (16 enodes) 431.914 * * [simplify]: iters left: 5 (68 enodes) 431.935 * * [simplify]: iters left: 4 (108 enodes) 431.971 * * [simplify]: iters left: 3 (180 enodes) 432.015 * * [simplify]: iters left: 2 (343 enodes) 432.122 * * [simplify]: Extracting #0: cost 1 inf + 0 432.122 * * [simplify]: Extracting #1: cost 50 inf + 0 432.122 * * [simplify]: Extracting #2: cost 133 inf + 0 432.123 * * [simplify]: Extracting #3: cost 209 inf + 2 432.124 * * [simplify]: Extracting #4: cost 196 inf + 5228 432.130 * * [simplify]: Extracting #5: cost 102 inf + 40944 432.145 * * [simplify]: Extracting #6: cost 10 inf + 101931 432.169 * * [simplify]: Extracting #7: cost 0 inf + 107149 432.198 * * [simplify]: Extracting #8: cost 0 inf + 106888 432.228 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 432.228 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 432.228 * * * * [progress]: [ 535 / 675 ] simplifiying candidate # 432.229 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 432.229 * * [simplify]: iters left: 6 (17 enodes) 432.239 * * [simplify]: iters left: 5 (71 enodes) 432.255 * * [simplify]: iters left: 4 (114 enodes) 432.276 * * [simplify]: iters left: 3 (193 enodes) 432.335 * * [simplify]: iters left: 2 (393 enodes) 432.523 * * [simplify]: Extracting #0: cost 1 inf + 0 432.524 * * [simplify]: Extracting #1: cost 68 inf + 0 432.525 * * [simplify]: Extracting #2: cost 168 inf + 1 432.527 * * [simplify]: Extracting #3: cost 223 inf + 3 432.529 * * [simplify]: Extracting #4: cost 238 inf + 181 432.532 * * [simplify]: Extracting #5: cost 225 inf + 1879 432.537 * * [simplify]: Extracting #6: cost 146 inf + 21045 432.551 * * [simplify]: Extracting #7: cost 32 inf + 96771 432.587 * * [simplify]: Extracting #8: cost 0 inf + 119621 432.614 * * [simplify]: Extracting #9: cost 0 inf + 119341 432.641 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 432.641 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 432.642 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 432.642 * * [simplify]: iters left: 6 (16 enodes) 432.651 * * [simplify]: iters left: 5 (68 enodes) 432.674 * * [simplify]: iters left: 4 (116 enodes) 432.716 * * [simplify]: iters left: 3 (205 enodes) 432.760 * * [simplify]: iters left: 2 (426 enodes) 432.892 * * [simplify]: Extracting #0: cost 1 inf + 0 432.892 * * [simplify]: Extracting #1: cost 86 inf + 0 432.893 * * [simplify]: Extracting #2: cost 236 inf + 0 432.895 * * [simplify]: Extracting #3: cost 317 inf + 2 432.898 * * [simplify]: Extracting #4: cost 319 inf + 1129 432.906 * * [simplify]: Extracting #5: cost 232 inf + 28039 432.945 * * [simplify]: Extracting #6: cost 51 inf + 146810 432.996 * * [simplify]: Extracting #7: cost 0 inf + 192411 433.029 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 433.029 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 433.029 * * * * [progress]: [ 536 / 675 ] simplifiying candidate # 433.030 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 433.030 * * [simplify]: iters left: 6 (16 enodes) 433.039 * * [simplify]: iters left: 5 (68 enodes) 433.062 * * [simplify]: iters left: 4 (108 enodes) 433.098 * * [simplify]: iters left: 3 (180 enodes) 433.164 * * [simplify]: iters left: 2 (343 enodes) 433.274 * * [simplify]: Extracting #0: cost 1 inf + 0 433.275 * * [simplify]: Extracting #1: cost 50 inf + 0 433.275 * * [simplify]: Extracting #2: cost 133 inf + 0 433.276 * * [simplify]: Extracting #3: cost 209 inf + 2 433.279 * * [simplify]: Extracting #4: cost 196 inf + 5228 433.290 * * [simplify]: Extracting #5: cost 102 inf + 40944 433.314 * * [simplify]: Extracting #6: cost 10 inf + 101931 433.333 * * [simplify]: Extracting #7: cost 0 inf + 107149 433.360 * * [simplify]: Extracting #8: cost 0 inf + 106888 433.375 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 433.375 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 433.375 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 433.375 * * [simplify]: iters left: 6 (16 enodes) 433.380 * * [simplify]: iters left: 5 (68 enodes) 433.400 * * [simplify]: iters left: 4 (108 enodes) 433.437 * * [simplify]: iters left: 3 (180 enodes) 433.495 * * [simplify]: iters left: 2 (343 enodes) 433.599 * * [simplify]: Extracting #0: cost 1 inf + 0 433.599 * * [simplify]: Extracting #1: cost 50 inf + 0 433.600 * * [simplify]: Extracting #2: cost 133 inf + 0 433.600 * * [simplify]: Extracting #3: cost 209 inf + 2 433.602 * * [simplify]: Extracting #4: cost 196 inf + 5228 433.608 * * [simplify]: Extracting #5: cost 102 inf + 40944 433.623 * * [simplify]: Extracting #6: cost 10 inf + 101931 433.653 * * [simplify]: Extracting #7: cost 0 inf + 107149 433.670 * * [simplify]: Extracting #8: cost 0 inf + 106888 433.689 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 433.690 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 433.690 * * * * [progress]: [ 537 / 675 ] simplifiying candidate # 433.690 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) 433.690 * * [simplify]: iters left: 6 (16 enodes) 433.697 * * [simplify]: iters left: 5 (66 enodes) 433.708 * * [simplify]: iters left: 4 (110 enodes) 433.734 * * [simplify]: iters left: 3 (196 enodes) 433.799 * * [simplify]: iters left: 2 (429 enodes) 434.035 * * [simplify]: Extracting #0: cost 1 inf + 0 434.035 * * [simplify]: Extracting #1: cost 64 inf + 0 434.036 * * [simplify]: Extracting #2: cost 160 inf + 1 434.037 * * [simplify]: Extracting #3: cost 219 inf + 3 434.038 * * [simplify]: Extracting #4: cost 232 inf + 181 434.039 * * [simplify]: Extracting #5: cost 209 inf + 3670 434.048 * * [simplify]: Extracting #6: cost 85 inf + 59641 434.079 * * [simplify]: Extracting #7: cost 0 inf + 122891 434.110 * * [simplify]: Extracting #8: cost 0 inf + 121636 434.146 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 434.146 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 434.147 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 434.147 * * [simplify]: iters left: 6 (16 enodes) 434.156 * * [simplify]: iters left: 5 (68 enodes) 434.172 * * [simplify]: iters left: 4 (116 enodes) 434.192 * * [simplify]: iters left: 3 (205 enodes) 434.259 * * [simplify]: iters left: 2 (426 enodes) 434.440 * * [simplify]: Extracting #0: cost 1 inf + 0 434.440 * * [simplify]: Extracting #1: cost 86 inf + 0 434.441 * * [simplify]: Extracting #2: cost 236 inf + 0 434.442 * * [simplify]: Extracting #3: cost 317 inf + 2 434.443 * * [simplify]: Extracting #4: cost 319 inf + 1129 434.447 * * [simplify]: Extracting #5: cost 232 inf + 28039 434.466 * * [simplify]: Extracting #6: cost 51 inf + 146810 434.515 * * [simplify]: Extracting #7: cost 0 inf + 192411 434.572 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 434.572 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 434.572 * * * * [progress]: [ 538 / 675 ] simplifiying candidate # 434.573 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 434.573 * * [simplify]: iters left: 6 (19 enodes) 434.586 * * [simplify]: iters left: 5 (79 enodes) 434.606 * * [simplify]: iters left: 4 (122 enodes) 434.626 * * [simplify]: iters left: 3 (209 enodes) 434.688 * * [simplify]: iters left: 2 (452 enodes) 434.925 * * [simplify]: Extracting #0: cost 1 inf + 0 434.925 * * [simplify]: Extracting #1: cost 87 inf + 0 434.926 * * [simplify]: Extracting #2: cost 232 inf + 1 434.929 * * [simplify]: Extracting #3: cost 290 inf + 3 434.931 * * [simplify]: Extracting #4: cost 305 inf + 222 434.932 * * [simplify]: Extracting #5: cost 282 inf + 3565 434.944 * * [simplify]: Extracting #6: cost 144 inf + 66411 434.971 * * [simplify]: Extracting #7: cost 9 inf + 172836 435.028 * * [simplify]: Extracting #8: cost 0 inf + 175042 435.079 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 435.079 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 435.080 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 435.080 * * [simplify]: iters left: 6 (16 enodes) 435.086 * * [simplify]: iters left: 5 (68 enodes) 435.098 * * [simplify]: iters left: 4 (116 enodes) 435.133 * * [simplify]: iters left: 3 (205 enodes) 435.213 * * [simplify]: iters left: 2 (426 enodes) 435.344 * * [simplify]: Extracting #0: cost 1 inf + 0 435.344 * * [simplify]: Extracting #1: cost 88 inf + 0 435.345 * * [simplify]: Extracting #2: cost 239 inf + 0 435.347 * * [simplify]: Extracting #3: cost 320 inf + 2 435.350 * * [simplify]: Extracting #4: cost 318 inf + 1541 435.357 * * [simplify]: Extracting #5: cost 250 inf + 20694 435.394 * * [simplify]: Extracting #6: cost 68 inf + 144119 435.422 * * [simplify]: Extracting #7: cost 0 inf + 199745 435.478 * * [simplify]: Extracting #8: cost 0 inf + 198251 435.533 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 435.533 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 435.534 * * * * [progress]: [ 539 / 675 ] simplifiying candidate # 435.534 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 435.534 * * [simplify]: iters left: 6 (19 enodes) 435.549 * * [simplify]: iters left: 5 (78 enodes) 435.573 * * [simplify]: iters left: 4 (117 enodes) 435.605 * * [simplify]: iters left: 3 (196 enodes) 435.654 * * [simplify]: iters left: 2 (390 enodes) 435.783 * * [simplify]: Extracting #0: cost 1 inf + 0 435.783 * * [simplify]: Extracting #1: cost 55 inf + 0 435.784 * * [simplify]: Extracting #2: cost 137 inf + 1 435.784 * * [simplify]: Extracting #3: cost 199 inf + 3 435.785 * * [simplify]: Extracting #4: cost 216 inf + 222 435.788 * * [simplify]: Extracting #5: cost 193 inf + 4271 435.804 * * [simplify]: Extracting #6: cost 79 inf + 45114 435.839 * * [simplify]: Extracting #7: cost 2 inf + 88115 435.879 * * [simplify]: Extracting #8: cost 0 inf + 88177 435.897 * * [simplify]: Extracting #9: cost 0 inf + 88138 435.919 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) 435.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 435.920 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 435.920 * * [simplify]: iters left: 6 (17 enodes) 435.928 * * [simplify]: iters left: 5 (71 enodes) 435.940 * * [simplify]: iters left: 4 (119 enodes) 435.967 * * [simplify]: iters left: 3 (205 enodes) 436.017 * * [simplify]: iters left: 2 (425 enodes) 436.191 * * [simplify]: Extracting #0: cost 1 inf + 0 436.192 * * [simplify]: Extracting #1: cost 88 inf + 0 436.193 * * [simplify]: Extracting #2: cost 239 inf + 0 436.195 * * [simplify]: Extracting #3: cost 321 inf + 2 436.198 * * [simplify]: Extracting #4: cost 321 inf + 1045 436.205 * * [simplify]: Extracting #5: cost 244 inf + 23907 436.221 * * [simplify]: Extracting #6: cost 96 inf + 117557 436.258 * * [simplify]: Extracting #7: cost 9 inf + 184035 436.305 * * [simplify]: Extracting #8: cost 0 inf + 190157 436.346 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 436.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 436.346 * * * * [progress]: [ 540 / 675 ] simplifiying candidate # 436.347 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 436.347 * * [simplify]: iters left: 6 (19 enodes) 436.360 * * [simplify]: iters left: 5 (78 enodes) 436.385 * * [simplify]: iters left: 4 (117 enodes) 436.411 * * [simplify]: iters left: 3 (196 enodes) 436.463 * * [simplify]: iters left: 2 (390 enodes) 436.632 * * [simplify]: Extracting #0: cost 1 inf + 0 436.633 * * [simplify]: Extracting #1: cost 55 inf + 0 436.633 * * [simplify]: Extracting #2: cost 136 inf + 1 436.635 * * [simplify]: Extracting #3: cost 198 inf + 3 436.637 * * [simplify]: Extracting #4: cost 216 inf + 222 436.639 * * [simplify]: Extracting #5: cost 194 inf + 4070 436.651 * * [simplify]: Extracting #6: cost 97 inf + 33961 436.668 * * [simplify]: Extracting #7: cost 10 inf + 84393 436.687 * * [simplify]: Extracting #8: cost 0 inf + 92159 436.720 * * [simplify]: Extracting #9: cost 0 inf + 92120 436.755 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) 436.755 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 436.756 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 436.756 * * [simplify]: iters left: 6 (18 enodes) 436.769 * * [simplify]: iters left: 5 (74 enodes) 436.787 * * [simplify]: iters left: 4 (122 enodes) 436.808 * * [simplify]: iters left: 3 (211 enodes) 436.887 * * [simplify]: iters left: 2 (432 enodes) 437.037 * * [simplify]: Extracting #0: cost 1 inf + 0 437.038 * * [simplify]: Extracting #1: cost 88 inf + 0 437.038 * * [simplify]: Extracting #2: cost 240 inf + 0 437.039 * * [simplify]: Extracting #3: cost 325 inf + 2 437.040 * * [simplify]: Extracting #4: cost 322 inf + 2207 437.046 * * [simplify]: Extracting #5: cost 200 inf + 51819 437.074 * * [simplify]: Extracting #6: cost 45 inf + 159409 437.116 * * [simplify]: Extracting #7: cost 0 inf + 199457 437.170 * * [simplify]: Extracting #8: cost 0 inf + 198824 437.227 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) 437.227 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))))) 437.227 * * * * [progress]: [ 541 / 675 ] simplifiying candidate # 437.228 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 437.228 * * [simplify]: iters left: 6 (18 enodes) 437.241 * * [simplify]: iters left: 5 (74 enodes) 437.265 * * [simplify]: iters left: 4 (113 enodes) 437.300 * * [simplify]: iters left: 3 (192 enodes) 437.363 * * [simplify]: iters left: 2 (386 enodes) 437.497 * * [simplify]: Extracting #0: cost 1 inf + 0 437.497 * * [simplify]: Extracting #1: cost 60 inf + 0 437.498 * * [simplify]: Extracting #2: cost 147 inf + 1 437.499 * * [simplify]: Extracting #3: cost 205 inf + 3 437.501 * * [simplify]: Extracting #4: cost 221 inf + 222 437.504 * * [simplify]: Extracting #5: cost 201 inf + 3469 437.516 * * [simplify]: Extracting #6: cost 93 inf + 38240 437.547 * * [simplify]: Extracting #7: cost 13 inf + 87948 437.577 * * [simplify]: Extracting #8: cost 0 inf + 96458 437.596 * * [simplify]: Extracting #9: cost 0 inf + 96418 437.627 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 437.627 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 437.627 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 437.627 * * [simplify]: iters left: 6 (16 enodes) 437.632 * * [simplify]: iters left: 5 (68 enodes) 437.644 * * [simplify]: iters left: 4 (116 enodes) 437.670 * * [simplify]: iters left: 3 (205 enodes) 437.717 * * [simplify]: iters left: 2 (426 enodes) 437.897 * * [simplify]: Extracting #0: cost 1 inf + 0 437.897 * * [simplify]: Extracting #1: cost 88 inf + 0 437.898 * * [simplify]: Extracting #2: cost 239 inf + 0 437.899 * * [simplify]: Extracting #3: cost 320 inf + 2 437.901 * * [simplify]: Extracting #4: cost 318 inf + 1501 437.904 * * [simplify]: Extracting #5: cost 250 inf + 20174 437.922 * * [simplify]: Extracting #6: cost 68 inf + 140759 437.978 * * [simplify]: Extracting #7: cost 0 inf + 194705 438.009 * * [simplify]: Extracting #8: cost 0 inf + 193211 438.059 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 438.059 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 438.059 * * * * [progress]: [ 542 / 675 ] simplifiying candidate # 438.059 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) 438.060 * * [simplify]: iters left: 6 (15 enodes) 438.066 * * [simplify]: iters left: 5 (65 enodes) 438.077 * * [simplify]: iters left: 4 (103 enodes) 438.101 * * [simplify]: iters left: 3 (167 enodes) 438.137 * * [simplify]: iters left: 2 (310 enodes) 438.215 * * [simplify]: Extracting #0: cost 1 inf + 0 438.215 * * [simplify]: Extracting #1: cost 30 inf + 0 438.215 * * [simplify]: Extracting #2: cost 106 inf + 2 438.216 * * [simplify]: Extracting #3: cost 154 inf + 176 438.217 * * [simplify]: Extracting #4: cost 150 inf + 807 438.218 * * [simplify]: Extracting #5: cost 102 inf + 6029 438.222 * * [simplify]: Extracting #6: cost 42 inf + 29305 438.229 * * [simplify]: Extracting #7: cost 3 inf + 56506 438.245 * * [simplify]: Extracting #8: cost 0 inf + 58243 438.256 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 438.256 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 438.257 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 438.257 * * [simplify]: iters left: 6 (15 enodes) 438.261 * * [simplify]: iters left: 5 (65 enodes) 438.272 * * [simplify]: iters left: 4 (105 enodes) 438.302 * * [simplify]: iters left: 3 (177 enodes) 438.367 * * [simplify]: iters left: 2 (337 enodes) 438.451 * * [simplify]: Extracting #0: cost 1 inf + 0 438.451 * * [simplify]: Extracting #1: cost 50 inf + 0 438.452 * * [simplify]: Extracting #2: cost 133 inf + 0 438.453 * * [simplify]: Extracting #3: cost 205 inf + 3 438.455 * * [simplify]: Extracting #4: cost 205 inf + 1172 438.460 * * [simplify]: Extracting #5: cost 146 inf + 12952 438.474 * * [simplify]: Extracting #6: cost 54 inf + 61675 438.491 * * [simplify]: Extracting #7: cost 4 inf + 100246 438.505 * * [simplify]: Extracting #8: cost 0 inf + 103589 438.528 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 438.528 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 438.528 * * * * [progress]: [ 543 / 675 ] simplifiying candidate # 438.528 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 438.528 * * [simplify]: iters left: 6 (18 enodes) 438.536 * * [simplify]: iters left: 5 (74 enodes) 438.548 * * [simplify]: iters left: 4 (113 enodes) 438.580 * * [simplify]: iters left: 3 (192 enodes) 438.655 * * [simplify]: iters left: 2 (386 enodes) 438.793 * * [simplify]: Extracting #0: cost 1 inf + 0 438.794 * * [simplify]: Extracting #1: cost 60 inf + 0 438.795 * * [simplify]: Extracting #2: cost 147 inf + 1 438.801 * * [simplify]: Extracting #3: cost 205 inf + 3 438.803 * * [simplify]: Extracting #4: cost 221 inf + 222 438.805 * * [simplify]: Extracting #5: cost 201 inf + 3469 438.817 * * [simplify]: Extracting #6: cost 93 inf + 38240 438.835 * * [simplify]: Extracting #7: cost 13 inf + 87948 438.856 * * [simplify]: Extracting #8: cost 0 inf + 96458 438.893 * * [simplify]: Extracting #9: cost 0 inf + 96418 438.929 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 438.929 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 438.929 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 438.929 * * [simplify]: iters left: 6 (16 enodes) 438.938 * * [simplify]: iters left: 5 (68 enodes) 438.964 * * [simplify]: iters left: 4 (116 enodes) 439.002 * * [simplify]: iters left: 3 (205 enodes) 439.077 * * [simplify]: iters left: 2 (426 enodes) 439.217 * * [simplify]: Extracting #0: cost 1 inf + 0 439.217 * * [simplify]: Extracting #1: cost 88 inf + 0 439.218 * * [simplify]: Extracting #2: cost 239 inf + 0 439.219 * * [simplify]: Extracting #3: cost 320 inf + 2 439.221 * * [simplify]: Extracting #4: cost 318 inf + 1501 439.224 * * [simplify]: Extracting #5: cost 250 inf + 20174 439.254 * * [simplify]: Extracting #6: cost 68 inf + 140759 439.294 * * [simplify]: Extracting #7: cost 0 inf + 194705 439.335 * * [simplify]: Extracting #8: cost 0 inf + 193211 439.380 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 439.380 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 439.380 * * * * [progress]: [ 544 / 675 ] simplifiying candidate # 439.380 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt 1)) 439.381 * * [simplify]: iters left: 6 (15 enodes) 439.387 * * [simplify]: iters left: 5 (65 enodes) 439.399 * * [simplify]: iters left: 4 (103 enodes) 439.428 * * [simplify]: iters left: 3 (167 enodes) 439.486 * * [simplify]: iters left: 2 (310 enodes) 439.587 * * [simplify]: Extracting #0: cost 1 inf + 0 439.587 * * [simplify]: Extracting #1: cost 30 inf + 0 439.588 * * [simplify]: Extracting #2: cost 106 inf + 2 439.589 * * [simplify]: Extracting #3: cost 154 inf + 176 439.590 * * [simplify]: Extracting #4: cost 150 inf + 807 439.593 * * [simplify]: Extracting #5: cost 102 inf + 6029 439.601 * * [simplify]: Extracting #6: cost 42 inf + 29305 439.615 * * [simplify]: Extracting #7: cost 3 inf + 56506 439.626 * * [simplify]: Extracting #8: cost 0 inf + 58243 439.634 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 439.634 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 439.635 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 439.635 * * [simplify]: iters left: 6 (15 enodes) 439.640 * * [simplify]: iters left: 5 (65 enodes) 439.659 * * [simplify]: iters left: 4 (105 enodes) 439.693 * * [simplify]: iters left: 3 (177 enodes) 439.734 * * [simplify]: iters left: 2 (337 enodes) 439.859 * * [simplify]: Extracting #0: cost 1 inf + 0 439.859 * * [simplify]: Extracting #1: cost 50 inf + 0 439.860 * * [simplify]: Extracting #2: cost 133 inf + 0 439.860 * * [simplify]: Extracting #3: cost 205 inf + 3 439.861 * * [simplify]: Extracting #4: cost 205 inf + 1172 439.864 * * [simplify]: Extracting #5: cost 146 inf + 12952 439.872 * * [simplify]: Extracting #6: cost 54 inf + 61675 439.898 * * [simplify]: Extracting #7: cost 4 inf + 100246 439.913 * * [simplify]: Extracting #8: cost 0 inf + 103589 439.929 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 439.929 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 439.930 * * * * [progress]: [ 545 / 675 ] simplifiying candidate # 439.930 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) 439.930 * * [simplify]: iters left: 6 (18 enodes) 439.943 * * [simplify]: iters left: 5 (74 enodes) 439.968 * * [simplify]: iters left: 4 (113 enodes) 440.006 * * [simplify]: iters left: 3 (192 enodes) 440.080 * * [simplify]: iters left: 2 (386 enodes) 440.226 * * [simplify]: Extracting #0: cost 1 inf + 0 440.226 * * [simplify]: Extracting #1: cost 60 inf + 0 440.226 * * [simplify]: Extracting #2: cost 147 inf + 1 440.227 * * [simplify]: Extracting #3: cost 205 inf + 3 440.228 * * [simplify]: Extracting #4: cost 221 inf + 222 440.229 * * [simplify]: Extracting #5: cost 201 inf + 3469 440.235 * * [simplify]: Extracting #6: cost 93 inf + 38240 440.250 * * [simplify]: Extracting #7: cost 13 inf + 87948 440.268 * * [simplify]: Extracting #8: cost 0 inf + 96458 440.293 * * [simplify]: Extracting #9: cost 0 inf + 96418 440.329 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 440.330 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 440.330 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 440.330 * * [simplify]: iters left: 6 (16 enodes) 440.339 * * [simplify]: iters left: 5 (68 enodes) 440.362 * * [simplify]: iters left: 4 (116 enodes) 440.401 * * [simplify]: iters left: 3 (205 enodes) 440.480 * * [simplify]: iters left: 2 (426 enodes) 440.663 * * [simplify]: Extracting #0: cost 1 inf + 0 440.663 * * [simplify]: Extracting #1: cost 88 inf + 0 440.664 * * [simplify]: Extracting #2: cost 239 inf + 0 440.665 * * [simplify]: Extracting #3: cost 320 inf + 2 440.670 * * [simplify]: Extracting #4: cost 318 inf + 1501 440.673 * * [simplify]: Extracting #5: cost 250 inf + 20174 440.695 * * [simplify]: Extracting #6: cost 68 inf + 140759 440.727 * * [simplify]: Extracting #7: cost 0 inf + 194705 440.776 * * [simplify]: Extracting #8: cost 0 inf + 193211 440.823 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 440.824 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 440.824 * * * * [progress]: [ 546 / 675 ] simplifiying candidate # 440.824 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) 1) 440.824 * * [simplify]: iters left: 6 (15 enodes) 440.830 * * [simplify]: iters left: 5 (63 enodes) 440.840 * * [simplify]: iters left: 4 (101 enodes) 440.856 * * [simplify]: iters left: 3 (164 enodes) 440.901 * * [simplify]: iters left: 2 (305 enodes) 441.028 * * [simplify]: Extracting #0: cost 1 inf + 0 441.028 * * [simplify]: Extracting #1: cost 29 inf + 0 441.028 * * [simplify]: Extracting #2: cost 106 inf + 2 441.029 * * [simplify]: Extracting #3: cost 153 inf + 218 441.031 * * [simplify]: Extracting #4: cost 155 inf + 433 441.032 * * [simplify]: Extracting #5: cost 131 inf + 2048 441.037 * * [simplify]: Extracting #6: cost 70 inf + 14867 441.050 * * [simplify]: Extracting #7: cost 17 inf + 46162 441.068 * * [simplify]: Extracting #8: cost 0 inf + 58286 441.085 * * [simplify]: Extracting #9: cost 0 inf + 58165 441.102 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 441.102 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 441.102 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 441.103 * * [simplify]: iters left: 6 (15 enodes) 441.112 * * [simplify]: iters left: 5 (65 enodes) 441.134 * * [simplify]: iters left: 4 (105 enodes) 441.170 * * [simplify]: iters left: 3 (177 enodes) 441.213 * * [simplify]: iters left: 2 (337 enodes) 441.317 * * [simplify]: Extracting #0: cost 1 inf + 0 441.317 * * [simplify]: Extracting #1: cost 50 inf + 0 441.318 * * [simplify]: Extracting #2: cost 133 inf + 0 441.319 * * [simplify]: Extracting #3: cost 205 inf + 3 441.321 * * [simplify]: Extracting #4: cost 205 inf + 1172 441.326 * * [simplify]: Extracting #5: cost 146 inf + 12952 441.341 * * [simplify]: Extracting #6: cost 54 inf + 61675 441.367 * * [simplify]: Extracting #7: cost 4 inf + 100246 441.400 * * [simplify]: Extracting #8: cost 0 inf + 103589 441.421 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 441.421 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 441.421 * * * * [progress]: [ 547 / 675 ] simplifiying candidate # 441.421 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 441.421 * * [simplify]: iters left: 6 (18 enodes) 441.426 * * [simplify]: iters left: 5 (76 enodes) 441.439 * * [simplify]: iters left: 4 (129 enodes) 441.476 * * [simplify]: iters left: 3 (239 enodes) 441.557 * * [simplify]: Extracting #0: cost 1 inf + 0 441.557 * * [simplify]: Extracting #1: cost 54 inf + 0 441.558 * * [simplify]: Extracting #2: cost 126 inf + 0 441.558 * * [simplify]: Extracting #3: cost 173 inf + 0 441.559 * * [simplify]: Extracting #4: cost 181 inf + 178 441.560 * * [simplify]: Extracting #5: cost 148 inf + 3634 441.565 * * [simplify]: Extracting #6: cost 72 inf + 34343 441.583 * * [simplify]: Extracting #7: cost 17 inf + 72324 441.601 * * [simplify]: Extracting #8: cost 0 inf + 85488 441.615 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 441.615 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 441.616 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 441.616 * * [simplify]: iters left: 6 (17 enodes) 441.621 * * [simplify]: iters left: 5 (71 enodes) 441.639 * * [simplify]: iters left: 4 (119 enodes) 441.678 * * [simplify]: iters left: 3 (205 enodes) 441.737 * * [simplify]: iters left: 2 (425 enodes) 441.892 * * [simplify]: Extracting #0: cost 1 inf + 0 441.893 * * [simplify]: Extracting #1: cost 88 inf + 0 441.894 * * [simplify]: Extracting #2: cost 238 inf + 0 441.896 * * [simplify]: Extracting #3: cost 319 inf + 2 441.898 * * [simplify]: Extracting #4: cost 333 inf + 264 441.902 * * [simplify]: Extracting #5: cost 310 inf + 2787 441.914 * * [simplify]: Extracting #6: cost 197 inf + 46182 441.948 * * [simplify]: Extracting #7: cost 43 inf + 164595 441.986 * * [simplify]: Extracting #8: cost 0 inf + 199519 442.044 * * [simplify]: Extracting #9: cost 0 inf + 199268 442.098 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 442.098 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 442.099 * * * * [progress]: [ 548 / 675 ] simplifiying candidate # 442.099 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 442.099 * * [simplify]: iters left: 6 (19 enodes) 442.104 * * [simplify]: iters left: 5 (78 enodes) 442.117 * * [simplify]: iters left: 4 (126 enodes) 442.138 * * [simplify]: iters left: 3 (215 enodes) 442.200 * * [simplify]: iters left: 2 (439 enodes) 442.379 * * [simplify]: Extracting #0: cost 1 inf + 0 442.380 * * [simplify]: Extracting #1: cost 89 inf + 0 442.381 * * [simplify]: Extracting #2: cost 242 inf + 0 442.382 * * [simplify]: Extracting #3: cost 325 inf + 2 442.384 * * [simplify]: Extracting #4: cost 338 inf + 264 442.386 * * [simplify]: Extracting #5: cost 325 inf + 1881 442.393 * * [simplify]: Extracting #6: cost 262 inf + 10516 442.407 * * [simplify]: Extracting #7: cost 110 inf + 114965 442.451 * * [simplify]: Extracting #8: cost 1 inf + 211503 442.510 * * [simplify]: Extracting #9: cost 0 inf + 208849 442.571 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 442.571 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 442.572 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 442.572 * * [simplify]: iters left: 6 (18 enodes) 442.582 * * [simplify]: iters left: 5 (74 enodes) 442.608 * * [simplify]: iters left: 4 (122 enodes) 442.651 * * [simplify]: iters left: 3 (211 enodes) 442.728 * * [simplify]: iters left: 2 (432 enodes) 442.888 * * [simplify]: Extracting #0: cost 1 inf + 0 442.889 * * [simplify]: Extracting #1: cost 87 inf + 0 442.890 * * [simplify]: Extracting #2: cost 239 inf + 0 442.896 * * [simplify]: Extracting #3: cost 323 inf + 2 442.899 * * [simplify]: Extracting #4: cost 338 inf + 222 442.902 * * [simplify]: Extracting #5: cost 326 inf + 1738 442.904 * * [simplify]: Extracting #6: cost 274 inf + 8080 442.914 * * [simplify]: Extracting #7: cost 145 inf + 81348 442.947 * * [simplify]: Extracting #8: cost 10 inf + 195110 442.980 * * [simplify]: Extracting #9: cost 0 inf + 205022 443.027 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 443.027 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 443.027 * * * * [progress]: [ 549 / 675 ] simplifiying candidate # 443.027 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 443.027 * * [simplify]: iters left: 6 (20 enodes) 443.033 * * [simplify]: iters left: 5 (81 enodes) 443.047 * * [simplify]: iters left: 4 (129 enodes) 443.090 * * [simplify]: iters left: 3 (216 enodes) 443.156 * * [simplify]: iters left: 2 (432 enodes) 443.273 * * [simplify]: Extracting #0: cost 1 inf + 0 443.273 * * [simplify]: Extracting #1: cost 86 inf + 0 443.275 * * [simplify]: Extracting #2: cost 235 inf + 0 443.282 * * [simplify]: Extracting #3: cost 318 inf + 2 443.284 * * [simplify]: Extracting #4: cost 335 inf + 264 443.288 * * [simplify]: Extracting #5: cost 308 inf + 3095 443.302 * * [simplify]: Extracting #6: cost 179 inf + 58318 443.335 * * [simplify]: Extracting #7: cost 35 inf + 174793 443.377 * * [simplify]: Extracting #8: cost 0 inf + 203226 443.437 * * [simplify]: Extracting #9: cost 0 inf + 202563 443.470 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 443.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 443.471 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 443.471 * * [simplify]: iters left: 6 (19 enodes) 443.476 * * [simplify]: iters left: 5 (77 enodes) 443.500 * * [simplify]: iters left: 4 (125 enodes) 443.536 * * [simplify]: iters left: 3 (214 enodes) 443.598 * * [simplify]: iters left: 2 (437 enodes) 443.725 * * [simplify]: Extracting #0: cost 1 inf + 0 443.725 * * [simplify]: Extracting #1: cost 91 inf + 0 443.726 * * [simplify]: Extracting #2: cost 243 inf + 0 443.727 * * [simplify]: Extracting #3: cost 326 inf + 2 443.728 * * [simplify]: Extracting #4: cost 341 inf + 264 443.730 * * [simplify]: Extracting #5: cost 322 inf + 2243 443.734 * * [simplify]: Extracting #6: cost 239 inf + 26081 443.750 * * [simplify]: Extracting #7: cost 97 inf + 123120 443.785 * * [simplify]: Extracting #8: cost 1 inf + 199704 443.826 * * [simplify]: Extracting #9: cost 0 inf + 200571 443.862 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 443.862 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 443.863 * * * * [progress]: [ 550 / 675 ] simplifiying candidate # 443.863 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 443.863 * * [simplify]: iters left: 6 (16 enodes) 443.872 * * [simplify]: iters left: 5 (68 enodes) 443.893 * * [simplify]: iters left: 4 (108 enodes) 443.913 * * [simplify]: iters left: 3 (180 enodes) 443.959 * * [simplify]: iters left: 2 (343 enodes) 444.074 * * [simplify]: Extracting #0: cost 1 inf + 0 444.074 * * [simplify]: Extracting #1: cost 50 inf + 0 444.075 * * [simplify]: Extracting #2: cost 133 inf + 0 444.076 * * [simplify]: Extracting #3: cost 209 inf + 2 444.078 * * [simplify]: Extracting #4: cost 196 inf + 5228 444.090 * * [simplify]: Extracting #5: cost 102 inf + 40944 444.114 * * [simplify]: Extracting #6: cost 10 inf + 101931 444.144 * * [simplify]: Extracting #7: cost 0 inf + 107149 444.177 * * [simplify]: Extracting #8: cost 0 inf + 106888 444.206 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 444.207 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 444.207 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 444.207 * * [simplify]: iters left: 6 (16 enodes) 444.217 * * [simplify]: iters left: 5 (68 enodes) 444.240 * * [simplify]: iters left: 4 (108 enodes) 444.277 * * [simplify]: iters left: 3 (180 enodes) 444.335 * * [simplify]: iters left: 2 (343 enodes) 444.456 * * [simplify]: Extracting #0: cost 1 inf + 0 444.457 * * [simplify]: Extracting #1: cost 50 inf + 0 444.457 * * [simplify]: Extracting #2: cost 133 inf + 0 444.458 * * [simplify]: Extracting #3: cost 209 inf + 2 444.461 * * [simplify]: Extracting #4: cost 196 inf + 5228 444.467 * * [simplify]: Extracting #5: cost 102 inf + 40944 444.479 * * [simplify]: Extracting #6: cost 10 inf + 101931 444.493 * * [simplify]: Extracting #7: cost 0 inf + 107149 444.510 * * [simplify]: Extracting #8: cost 0 inf + 106888 444.544 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 444.544 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 444.545 * * * * [progress]: [ 551 / 675 ] simplifiying candidate # 444.545 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 444.545 * * [simplify]: iters left: 6 (18 enodes) 444.558 * * [simplify]: iters left: 5 (74 enodes) 444.581 * * [simplify]: iters left: 4 (117 enodes) 444.620 * * [simplify]: iters left: 3 (201 enodes) 444.682 * * [simplify]: iters left: 2 (415 enodes) 444.833 * * [simplify]: Extracting #0: cost 1 inf + 0 444.834 * * [simplify]: Extracting #1: cost 68 inf + 0 444.834 * * [simplify]: Extracting #2: cost 163 inf + 1 444.835 * * [simplify]: Extracting #3: cost 222 inf + 3 444.836 * * [simplify]: Extracting #4: cost 239 inf + 139 444.837 * * [simplify]: Extracting #5: cost 218 inf + 3592 444.842 * * [simplify]: Extracting #6: cost 130 inf + 26439 444.867 * * [simplify]: Extracting #7: cost 24 inf + 99728 444.911 * * [simplify]: Extracting #8: cost 0 inf + 119735 444.951 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 444.951 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 444.952 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 444.952 * * [simplify]: iters left: 6 (16 enodes) 444.961 * * [simplify]: iters left: 5 (68 enodes) 444.984 * * [simplify]: iters left: 4 (116 enodes) 445.022 * * [simplify]: iters left: 3 (205 enodes) 445.466 * * [simplify]: iters left: 2 (426 enodes) 445.625 * * [simplify]: Extracting #0: cost 1 inf + 0 445.626 * * [simplify]: Extracting #1: cost 86 inf + 0 445.627 * * [simplify]: Extracting #2: cost 236 inf + 0 445.629 * * [simplify]: Extracting #3: cost 317 inf + 2 445.632 * * [simplify]: Extracting #4: cost 319 inf + 1129 445.646 * * [simplify]: Extracting #5: cost 232 inf + 28039 445.685 * * [simplify]: Extracting #6: cost 51 inf + 146810 445.737 * * [simplify]: Extracting #7: cost 0 inf + 192411 445.769 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 445.769 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 445.770 * * * * [progress]: [ 552 / 675 ] simplifiying candidate # 445.770 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 445.770 * * [simplify]: iters left: 6 (16 enodes) 445.782 * * [simplify]: iters left: 5 (68 enodes) 445.805 * * [simplify]: iters left: 4 (108 enodes) 445.828 * * [simplify]: iters left: 3 (180 enodes) 445.879 * * [simplify]: iters left: 2 (343 enodes) 445.968 * * [simplify]: Extracting #0: cost 1 inf + 0 445.969 * * [simplify]: Extracting #1: cost 50 inf + 0 445.969 * * [simplify]: Extracting #2: cost 133 inf + 0 445.971 * * [simplify]: Extracting #3: cost 209 inf + 2 445.973 * * [simplify]: Extracting #4: cost 196 inf + 5228 445.989 * * [simplify]: Extracting #5: cost 102 inf + 40944 446.002 * * [simplify]: Extracting #6: cost 10 inf + 101931 446.016 * * [simplify]: Extracting #7: cost 0 inf + 107149 446.039 * * [simplify]: Extracting #8: cost 0 inf + 106888 446.054 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 446.054 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 446.055 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 446.055 * * [simplify]: iters left: 6 (16 enodes) 446.060 * * [simplify]: iters left: 5 (68 enodes) 446.076 * * [simplify]: iters left: 4 (108 enodes) 446.106 * * [simplify]: iters left: 3 (180 enodes) 446.148 * * [simplify]: iters left: 2 (343 enodes) 446.230 * * [simplify]: Extracting #0: cost 1 inf + 0 446.230 * * [simplify]: Extracting #1: cost 50 inf + 0 446.230 * * [simplify]: Extracting #2: cost 133 inf + 0 446.231 * * [simplify]: Extracting #3: cost 209 inf + 2 446.232 * * [simplify]: Extracting #4: cost 196 inf + 5228 446.241 * * [simplify]: Extracting #5: cost 102 inf + 40944 446.257 * * [simplify]: Extracting #6: cost 10 inf + 101931 446.273 * * [simplify]: Extracting #7: cost 0 inf + 107149 446.304 * * [simplify]: Extracting #8: cost 0 inf + 106888 446.334 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 446.334 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 446.334 * * * * [progress]: [ 553 / 675 ] simplifiying candidate # 446.335 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 446.335 * * [simplify]: iters left: 6 (17 enodes) 446.345 * * [simplify]: iters left: 5 (71 enodes) 446.368 * * [simplify]: iters left: 4 (114 enodes) 446.392 * * [simplify]: iters left: 3 (193 enodes) 446.440 * * [simplify]: iters left: 2 (393 enodes) 446.651 * * [simplify]: Extracting #0: cost 1 inf + 0 446.651 * * [simplify]: Extracting #1: cost 68 inf + 0 446.652 * * [simplify]: Extracting #2: cost 168 inf + 1 446.653 * * [simplify]: Extracting #3: cost 223 inf + 3 446.654 * * [simplify]: Extracting #4: cost 238 inf + 181 446.655 * * [simplify]: Extracting #5: cost 225 inf + 1879 446.659 * * [simplify]: Extracting #6: cost 146 inf + 21045 446.678 * * [simplify]: Extracting #7: cost 32 inf + 96771 446.712 * * [simplify]: Extracting #8: cost 0 inf + 119621 446.737 * * [simplify]: Extracting #9: cost 0 inf + 119341 446.779 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 446.779 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 446.780 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 446.780 * * [simplify]: iters left: 6 (16 enodes) 446.785 * * [simplify]: iters left: 5 (68 enodes) 446.797 * * [simplify]: iters left: 4 (116 enodes) 446.830 * * [simplify]: iters left: 3 (205 enodes) 446.882 * * [simplify]: iters left: 2 (426 enodes) 447.060 * * [simplify]: Extracting #0: cost 1 inf + 0 447.060 * * [simplify]: Extracting #1: cost 86 inf + 0 447.061 * * [simplify]: Extracting #2: cost 236 inf + 0 447.062 * * [simplify]: Extracting #3: cost 317 inf + 2 447.064 * * [simplify]: Extracting #4: cost 319 inf + 1129 447.068 * * [simplify]: Extracting #5: cost 232 inf + 28039 447.095 * * [simplify]: Extracting #6: cost 51 inf + 146810 447.133 * * [simplify]: Extracting #7: cost 0 inf + 192411 447.164 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 447.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 447.164 * * * * [progress]: [ 554 / 675 ] simplifiying candidate # 447.165 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 447.165 * * [simplify]: iters left: 6 (16 enodes) 447.174 * * [simplify]: iters left: 5 (68 enodes) 447.196 * * [simplify]: iters left: 4 (108 enodes) 447.233 * * [simplify]: iters left: 3 (180 enodes) 447.273 * * [simplify]: iters left: 2 (343 enodes) 447.412 * * [simplify]: Extracting #0: cost 1 inf + 0 447.412 * * [simplify]: Extracting #1: cost 50 inf + 0 447.412 * * [simplify]: Extracting #2: cost 133 inf + 0 447.413 * * [simplify]: Extracting #3: cost 209 inf + 2 447.414 * * [simplify]: Extracting #4: cost 196 inf + 5228 447.420 * * [simplify]: Extracting #5: cost 102 inf + 40944 447.432 * * [simplify]: Extracting #6: cost 10 inf + 101931 447.447 * * [simplify]: Extracting #7: cost 0 inf + 107149 447.462 * * [simplify]: Extracting #8: cost 0 inf + 106888 447.493 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 447.493 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 447.494 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 447.494 * * [simplify]: iters left: 6 (16 enodes) 447.503 * * [simplify]: iters left: 5 (68 enodes) 447.526 * * [simplify]: iters left: 4 (108 enodes) 447.562 * * [simplify]: iters left: 3 (180 enodes) 447.613 * * [simplify]: iters left: 2 (343 enodes) 447.736 * * [simplify]: Extracting #0: cost 1 inf + 0 447.736 * * [simplify]: Extracting #1: cost 50 inf + 0 447.736 * * [simplify]: Extracting #2: cost 133 inf + 0 447.737 * * [simplify]: Extracting #3: cost 209 inf + 2 447.738 * * [simplify]: Extracting #4: cost 196 inf + 5228 447.744 * * [simplify]: Extracting #5: cost 102 inf + 40944 447.756 * * [simplify]: Extracting #6: cost 10 inf + 101931 447.776 * * [simplify]: Extracting #7: cost 0 inf + 107149 447.805 * * [simplify]: Extracting #8: cost 0 inf + 106888 447.835 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 447.835 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 447.835 * * * * [progress]: [ 555 / 675 ] simplifiying candidate # 447.835 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) 447.835 * * [simplify]: iters left: 6 (16 enodes) 447.848 * * [simplify]: iters left: 5 (66 enodes) 447.870 * * [simplify]: iters left: 4 (110 enodes) 447.897 * * [simplify]: iters left: 3 (196 enodes) 447.963 * * [simplify]: iters left: 2 (429 enodes) 448.188 * * [simplify]: Extracting #0: cost 1 inf + 0 448.188 * * [simplify]: Extracting #1: cost 64 inf + 0 448.189 * * [simplify]: Extracting #2: cost 160 inf + 1 448.191 * * [simplify]: Extracting #3: cost 219 inf + 3 448.193 * * [simplify]: Extracting #4: cost 232 inf + 181 448.196 * * [simplify]: Extracting #5: cost 209 inf + 3670 448.214 * * [simplify]: Extracting #6: cost 85 inf + 59641 448.256 * * [simplify]: Extracting #7: cost 0 inf + 122891 448.284 * * [simplify]: Extracting #8: cost 0 inf + 121636 448.322 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 448.322 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 448.322 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 448.322 * * [simplify]: iters left: 6 (16 enodes) 448.331 * * [simplify]: iters left: 5 (68 enodes) 448.354 * * [simplify]: iters left: 4 (116 enodes) 448.381 * * [simplify]: iters left: 3 (205 enodes) 448.432 * * [simplify]: iters left: 2 (426 enodes) 448.636 * * [simplify]: Extracting #0: cost 1 inf + 0 448.636 * * [simplify]: Extracting #1: cost 86 inf + 0 448.637 * * [simplify]: Extracting #2: cost 236 inf + 0 448.638 * * [simplify]: Extracting #3: cost 317 inf + 2 448.639 * * [simplify]: Extracting #4: cost 319 inf + 1129 448.643 * * [simplify]: Extracting #5: cost 232 inf + 28039 448.663 * * [simplify]: Extracting #6: cost 51 inf + 146810 448.718 * * [simplify]: Extracting #7: cost 0 inf + 192411 448.749 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 448.749 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 448.749 * * * * [progress]: [ 556 / 675 ] simplifiying candidate # 448.749 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 448.749 * * [simplify]: iters left: 6 (18 enodes) 448.760 * * [simplify]: iters left: 5 (76 enodes) 448.776 * * [simplify]: iters left: 4 (119 enodes) 448.806 * * [simplify]: iters left: 3 (203 enodes) 448.892 * * [simplify]: iters left: 2 (445 enodes) 449.145 * * [simplify]: Extracting #0: cost 1 inf + 0 449.145 * * [simplify]: Extracting #1: cost 84 inf + 0 449.148 * * [simplify]: Extracting #2: cost 233 inf + 1 449.150 * * [simplify]: Extracting #3: cost 291 inf + 3 449.152 * * [simplify]: Extracting #4: cost 307 inf + 264 449.156 * * [simplify]: Extracting #5: cost 290 inf + 2777 449.167 * * [simplify]: Extracting #6: cost 183 inf + 40605 449.213 * * [simplify]: Extracting #7: cost 23 inf + 164558 449.266 * * [simplify]: Extracting #8: cost 0 inf + 182400 449.302 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 449.302 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 449.302 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 449.303 * * [simplify]: iters left: 6 (16 enodes) 449.312 * * [simplify]: iters left: 5 (68 enodes) 449.331 * * [simplify]: iters left: 4 (116 enodes) 449.352 * * [simplify]: iters left: 3 (205 enodes) 449.403 * * [simplify]: iters left: 2 (426 enodes) 449.562 * * [simplify]: Extracting #0: cost 1 inf + 0 449.563 * * [simplify]: Extracting #1: cost 88 inf + 0 449.564 * * [simplify]: Extracting #2: cost 239 inf + 0 449.566 * * [simplify]: Extracting #3: cost 320 inf + 2 449.569 * * [simplify]: Extracting #4: cost 318 inf + 1541 449.576 * * [simplify]: Extracting #5: cost 250 inf + 20694 449.610 * * [simplify]: Extracting #6: cost 68 inf + 144119 449.662 * * [simplify]: Extracting #7: cost 0 inf + 199745 449.694 * * [simplify]: Extracting #8: cost 0 inf + 198251 449.725 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 449.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 449.726 * * * * [progress]: [ 557 / 675 ] simplifiying candidate # 449.726 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 449.726 * * [simplify]: iters left: 6 (18 enodes) 449.734 * * [simplify]: iters left: 5 (75 enodes) 449.760 * * [simplify]: iters left: 4 (114 enodes) 449.786 * * [simplify]: iters left: 3 (193 enodes) 449.837 * * [simplify]: iters left: 2 (385 enodes) 449.953 * * [simplify]: Extracting #0: cost 1 inf + 0 449.953 * * [simplify]: Extracting #1: cost 57 inf + 0 449.953 * * [simplify]: Extracting #2: cost 145 inf + 1 449.954 * * [simplify]: Extracting #3: cost 203 inf + 3 449.955 * * [simplify]: Extracting #4: cost 217 inf + 264 449.956 * * [simplify]: Extracting #5: cost 188 inf + 4142 449.966 * * [simplify]: Extracting #6: cost 92 inf + 38999 449.997 * * [simplify]: Extracting #7: cost 3 inf + 103097 450.029 * * [simplify]: Extracting #8: cost 0 inf + 104683 450.067 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) 450.067 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 450.068 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 450.068 * * [simplify]: iters left: 6 (17 enodes) 450.078 * * [simplify]: iters left: 5 (71 enodes) 450.103 * * [simplify]: iters left: 4 (119 enodes) 450.143 * * [simplify]: iters left: 3 (205 enodes) 450.195 * * [simplify]: iters left: 2 (425 enodes) 450.336 * * [simplify]: Extracting #0: cost 1 inf + 0 450.336 * * [simplify]: Extracting #1: cost 88 inf + 0 450.337 * * [simplify]: Extracting #2: cost 239 inf + 0 450.338 * * [simplify]: Extracting #3: cost 321 inf + 2 450.340 * * [simplify]: Extracting #4: cost 321 inf + 1045 450.344 * * [simplify]: Extracting #5: cost 244 inf + 23907 450.363 * * [simplify]: Extracting #6: cost 96 inf + 117557 450.394 * * [simplify]: Extracting #7: cost 9 inf + 184035 450.427 * * [simplify]: Extracting #8: cost 0 inf + 190157 450.453 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 450.453 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 450.454 * * * * [progress]: [ 558 / 675 ] simplifiying candidate # 450.454 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 450.454 * * [simplify]: iters left: 6 (18 enodes) 450.467 * * [simplify]: iters left: 5 (75 enodes) 450.492 * * [simplify]: iters left: 4 (114 enodes) 450.530 * * [simplify]: iters left: 3 (193 enodes) 450.603 * * [simplify]: iters left: 2 (385 enodes) 450.762 * * [simplify]: Extracting #0: cost 1 inf + 0 450.762 * * [simplify]: Extracting #1: cost 57 inf + 0 450.763 * * [simplify]: Extracting #2: cost 144 inf + 1 450.764 * * [simplify]: Extracting #3: cost 202 inf + 3 450.766 * * [simplify]: Extracting #4: cost 217 inf + 264 450.769 * * [simplify]: Extracting #5: cost 188 inf + 4142 450.780 * * [simplify]: Extracting #6: cost 92 inf + 38999 450.810 * * [simplify]: Extracting #7: cost 3 inf + 103097 450.833 * * [simplify]: Extracting #8: cost 0 inf + 104683 450.852 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) 450.853 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 450.853 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 450.853 * * [simplify]: iters left: 6 (18 enodes) 450.863 * * [simplify]: iters left: 5 (74 enodes) 450.877 * * [simplify]: iters left: 4 (122 enodes) 450.899 * * [simplify]: iters left: 3 (211 enodes) 450.981 * * [simplify]: iters left: 2 (432 enodes) 451.159 * * [simplify]: Extracting #0: cost 1 inf + 0 451.160 * * [simplify]: Extracting #1: cost 88 inf + 0 451.167 * * [simplify]: Extracting #2: cost 240 inf + 0 451.169 * * [simplify]: Extracting #3: cost 325 inf + 2 451.172 * * [simplify]: Extracting #4: cost 322 inf + 2207 451.184 * * [simplify]: Extracting #5: cost 200 inf + 51819 451.224 * * [simplify]: Extracting #6: cost 45 inf + 159409 451.279 * * [simplify]: Extracting #7: cost 0 inf + 199457 451.337 * * [simplify]: Extracting #8: cost 0 inf + 198824 451.381 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) 451.381 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))))) 451.381 * * * * [progress]: [ 559 / 675 ] simplifiying candidate # 451.381 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 451.382 * * [simplify]: iters left: 6 (17 enodes) 451.388 * * [simplify]: iters left: 5 (71 enodes) 451.401 * * [simplify]: iters left: 4 (110 enodes) 451.437 * * [simplify]: iters left: 3 (186 enodes) 451.511 * * [simplify]: iters left: 2 (372 enodes) 451.681 * * [simplify]: Extracting #0: cost 1 inf + 0 451.681 * * [simplify]: Extracting #1: cost 60 inf + 0 451.682 * * [simplify]: Extracting #2: cost 147 inf + 1 451.682 * * [simplify]: Extracting #3: cost 205 inf + 3 451.683 * * [simplify]: Extracting #4: cost 220 inf + 223 451.684 * * [simplify]: Extracting #5: cost 199 inf + 2750 451.687 * * [simplify]: Extracting #6: cost 136 inf + 14001 451.701 * * [simplify]: Extracting #7: cost 50 inf + 69465 451.717 * * [simplify]: Extracting #8: cost 0 inf + 109481 451.734 * * [simplify]: Extracting #9: cost 0 inf + 107907 451.752 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 451.752 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 451.753 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 451.753 * * [simplify]: iters left: 6 (16 enodes) 451.758 * * [simplify]: iters left: 5 (68 enodes) 451.769 * * [simplify]: iters left: 4 (116 enodes) 451.795 * * [simplify]: iters left: 3 (205 enodes) 451.872 * * [simplify]: iters left: 2 (426 enodes) 452.042 * * [simplify]: Extracting #0: cost 1 inf + 0 452.042 * * [simplify]: Extracting #1: cost 88 inf + 0 452.043 * * [simplify]: Extracting #2: cost 239 inf + 0 452.045 * * [simplify]: Extracting #3: cost 320 inf + 2 452.048 * * [simplify]: Extracting #4: cost 318 inf + 1501 452.056 * * [simplify]: Extracting #5: cost 250 inf + 20174 452.076 * * [simplify]: Extracting #6: cost 68 inf + 140759 452.116 * * [simplify]: Extracting #7: cost 0 inf + 194705 452.152 * * [simplify]: Extracting #8: cost 0 inf + 193211 452.195 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 452.195 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 452.195 * * * * [progress]: [ 560 / 675 ] simplifiying candidate # 452.195 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt 1))) 452.195 * * [simplify]: iters left: 6 (15 enodes) 452.202 * * [simplify]: iters left: 5 (65 enodes) 452.213 * * [simplify]: iters left: 4 (103 enodes) 452.248 * * [simplify]: iters left: 3 (167 enodes) 452.306 * * [simplify]: iters left: 2 (310 enodes) 452.400 * * [simplify]: Extracting #0: cost 1 inf + 0 452.401 * * [simplify]: Extracting #1: cost 29 inf + 0 452.401 * * [simplify]: Extracting #2: cost 105 inf + 2 452.401 * * [simplify]: Extracting #3: cost 153 inf + 176 452.402 * * [simplify]: Extracting #4: cost 150 inf + 724 452.404 * * [simplify]: Extracting #5: cost 96 inf + 8699 452.409 * * [simplify]: Extracting #6: cost 27 inf + 38330 452.416 * * [simplify]: Extracting #7: cost 3 inf + 54289 452.427 * * [simplify]: Extracting #8: cost 0 inf + 57154 452.444 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 452.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 452.445 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 452.445 * * [simplify]: iters left: 6 (15 enodes) 452.454 * * [simplify]: iters left: 5 (65 enodes) 452.480 * * [simplify]: iters left: 4 (105 enodes) 452.508 * * [simplify]: iters left: 3 (177 enodes) 452.541 * * [simplify]: iters left: 2 (337 enodes) 452.648 * * [simplify]: Extracting #0: cost 1 inf + 0 452.649 * * [simplify]: Extracting #1: cost 50 inf + 0 452.649 * * [simplify]: Extracting #2: cost 133 inf + 0 452.651 * * [simplify]: Extracting #3: cost 205 inf + 3 452.652 * * [simplify]: Extracting #4: cost 205 inf + 1172 452.657 * * [simplify]: Extracting #5: cost 146 inf + 12952 452.677 * * [simplify]: Extracting #6: cost 54 inf + 61675 452.691 * * [simplify]: Extracting #7: cost 4 inf + 100246 452.705 * * [simplify]: Extracting #8: cost 0 inf + 103589 452.725 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 452.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 452.726 * * * * [progress]: [ 561 / 675 ] simplifiying candidate # 452.726 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 452.726 * * [simplify]: iters left: 6 (17 enodes) 452.738 * * [simplify]: iters left: 5 (71 enodes) 452.761 * * [simplify]: iters left: 4 (110 enodes) 452.800 * * [simplify]: iters left: 3 (186 enodes) 452.867 * * [simplify]: iters left: 2 (372 enodes) 453.016 * * [simplify]: Extracting #0: cost 1 inf + 0 453.016 * * [simplify]: Extracting #1: cost 60 inf + 0 453.016 * * [simplify]: Extracting #2: cost 147 inf + 1 453.017 * * [simplify]: Extracting #3: cost 205 inf + 3 453.018 * * [simplify]: Extracting #4: cost 220 inf + 223 453.019 * * [simplify]: Extracting #5: cost 199 inf + 2750 453.022 * * [simplify]: Extracting #6: cost 136 inf + 14001 453.031 * * [simplify]: Extracting #7: cost 50 inf + 69465 453.059 * * [simplify]: Extracting #8: cost 0 inf + 109481 453.093 * * [simplify]: Extracting #9: cost 0 inf + 107907 453.119 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 453.119 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 453.119 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 453.119 * * [simplify]: iters left: 6 (16 enodes) 453.126 * * [simplify]: iters left: 5 (68 enodes) 453.138 * * [simplify]: iters left: 4 (116 enodes) 453.172 * * [simplify]: iters left: 3 (205 enodes) 453.225 * * [simplify]: iters left: 2 (426 enodes) 453.344 * * [simplify]: Extracting #0: cost 1 inf + 0 453.344 * * [simplify]: Extracting #1: cost 88 inf + 0 453.345 * * [simplify]: Extracting #2: cost 239 inf + 0 453.346 * * [simplify]: Extracting #3: cost 320 inf + 2 453.347 * * [simplify]: Extracting #4: cost 318 inf + 1501 453.351 * * [simplify]: Extracting #5: cost 250 inf + 20174 453.368 * * [simplify]: Extracting #6: cost 68 inf + 140759 453.427 * * [simplify]: Extracting #7: cost 0 inf + 194705 453.483 * * [simplify]: Extracting #8: cost 0 inf + 193211 453.512 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 453.512 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 453.512 * * * * [progress]: [ 562 / 675 ] simplifiying candidate # 453.513 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt 1)) 453.513 * * [simplify]: iters left: 6 (14 enodes) 453.518 * * [simplify]: iters left: 5 (62 enodes) 453.531 * * [simplify]: iters left: 4 (101 enodes) 453.548 * * [simplify]: iters left: 3 (161 enodes) 453.579 * * [simplify]: iters left: 2 (306 enodes) 453.690 * * [simplify]: Extracting #0: cost 1 inf + 0 453.690 * * [simplify]: Extracting #1: cost 33 inf + 0 453.691 * * [simplify]: Extracting #2: cost 105 inf + 2 453.691 * * [simplify]: Extracting #3: cost 148 inf + 176 453.692 * * [simplify]: Extracting #4: cost 143 inf + 849 453.694 * * [simplify]: Extracting #5: cost 83 inf + 8766 453.698 * * [simplify]: Extracting #6: cost 35 inf + 27245 453.705 * * [simplify]: Extracting #7: cost 1 inf + 52265 453.720 * * [simplify]: Extracting #8: cost 0 inf + 53184 453.731 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 453.731 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 453.732 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 453.732 * * [simplify]: iters left: 6 (15 enodes) 453.737 * * [simplify]: iters left: 5 (65 enodes) 453.748 * * [simplify]: iters left: 4 (105 enodes) 453.772 * * [simplify]: iters left: 3 (177 enodes) 453.833 * * [simplify]: iters left: 2 (337 enodes) 453.938 * * [simplify]: Extracting #0: cost 1 inf + 0 453.938 * * [simplify]: Extracting #1: cost 50 inf + 0 453.939 * * [simplify]: Extracting #2: cost 133 inf + 0 453.940 * * [simplify]: Extracting #3: cost 205 inf + 3 453.942 * * [simplify]: Extracting #4: cost 205 inf + 1172 453.947 * * [simplify]: Extracting #5: cost 146 inf + 12952 453.962 * * [simplify]: Extracting #6: cost 54 inf + 61675 453.988 * * [simplify]: Extracting #7: cost 4 inf + 100246 454.010 * * [simplify]: Extracting #8: cost 0 inf + 103589 454.024 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 454.024 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 454.025 * * * * [progress]: [ 563 / 675 ] simplifiying candidate # 454.025 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 454.025 * * [simplify]: iters left: 6 (17 enodes) 454.031 * * [simplify]: iters left: 5 (71 enodes) 454.051 * * [simplify]: iters left: 4 (110 enodes) 454.088 * * [simplify]: iters left: 3 (186 enodes) 454.160 * * [simplify]: iters left: 2 (372 enodes) 454.324 * * [simplify]: Extracting #0: cost 1 inf + 0 454.325 * * [simplify]: Extracting #1: cost 60 inf + 0 454.326 * * [simplify]: Extracting #2: cost 147 inf + 1 454.327 * * [simplify]: Extracting #3: cost 205 inf + 3 454.329 * * [simplify]: Extracting #4: cost 220 inf + 223 454.332 * * [simplify]: Extracting #5: cost 199 inf + 2750 454.337 * * [simplify]: Extracting #6: cost 136 inf + 14001 454.355 * * [simplify]: Extracting #7: cost 50 inf + 69465 454.387 * * [simplify]: Extracting #8: cost 0 inf + 109481 454.413 * * [simplify]: Extracting #9: cost 0 inf + 107907 454.433 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 454.433 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 454.434 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 454.434 * * [simplify]: iters left: 6 (16 enodes) 454.439 * * [simplify]: iters left: 5 (68 enodes) 454.461 * * [simplify]: iters left: 4 (116 enodes) 454.501 * * [simplify]: iters left: 3 (205 enodes) 454.582 * * [simplify]: iters left: 2 (426 enodes) 454.719 * * [simplify]: Extracting #0: cost 1 inf + 0 454.720 * * [simplify]: Extracting #1: cost 88 inf + 0 454.720 * * [simplify]: Extracting #2: cost 239 inf + 0 454.721 * * [simplify]: Extracting #3: cost 320 inf + 2 454.723 * * [simplify]: Extracting #4: cost 318 inf + 1501 454.726 * * [simplify]: Extracting #5: cost 250 inf + 20174 454.748 * * [simplify]: Extracting #6: cost 68 inf + 140759 454.793 * * [simplify]: Extracting #7: cost 0 inf + 194705 454.835 * * [simplify]: Extracting #8: cost 0 inf + 193211 454.870 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 454.870 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 454.871 * * * * [progress]: [ 564 / 675 ] simplifiying candidate # 454.871 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 1) 454.871 * * [simplify]: iters left: 6 (14 enodes) 454.882 * * [simplify]: iters left: 5 (60 enodes) 454.903 * * [simplify]: iters left: 4 (99 enodes) 454.934 * * [simplify]: iters left: 3 (158 enodes) 454.989 * * [simplify]: iters left: 2 (292 enodes) 455.084 * * [simplify]: Extracting #0: cost 1 inf + 0 455.084 * * [simplify]: Extracting #1: cost 33 inf + 0 455.085 * * [simplify]: Extracting #2: cost 99 inf + 2 455.085 * * [simplify]: Extracting #3: cost 144 inf + 218 455.087 * * [simplify]: Extracting #4: cost 140 inf + 806 455.090 * * [simplify]: Extracting #5: cost 84 inf + 7018 455.102 * * [simplify]: Extracting #6: cost 30 inf + 31221 455.111 * * [simplify]: Extracting #7: cost 7 inf + 48685 455.119 * * [simplify]: Extracting #8: cost 0 inf + 53281 455.127 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 455.127 * [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 (sqrt k))) (sqrt (sqrt k))))) 455.127 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 455.128 * * [simplify]: iters left: 6 (15 enodes) 455.132 * * [simplify]: iters left: 5 (65 enodes) 455.148 * * [simplify]: iters left: 4 (105 enodes) 455.183 * * [simplify]: iters left: 3 (177 enodes) 455.224 * * [simplify]: iters left: 2 (337 enodes) 455.357 * * [simplify]: Extracting #0: cost 1 inf + 0 455.357 * * [simplify]: Extracting #1: cost 50 inf + 0 455.358 * * [simplify]: Extracting #2: cost 133 inf + 0 455.358 * * [simplify]: Extracting #3: cost 205 inf + 3 455.359 * * [simplify]: Extracting #4: cost 205 inf + 1172 455.362 * * [simplify]: Extracting #5: cost 146 inf + 12952 455.369 * * [simplify]: Extracting #6: cost 54 inf + 61675 455.394 * * [simplify]: Extracting #7: cost 4 inf + 100246 455.423 * * [simplify]: Extracting #8: cost 0 inf + 103589 455.451 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 455.451 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 455.451 * * * * [progress]: [ 565 / 675 ] simplifiying candidate # 455.452 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 455.452 * * [simplify]: iters left: 6 (18 enodes) 455.466 * * [simplify]: iters left: 5 (76 enodes) 455.491 * * [simplify]: iters left: 4 (129 enodes) 455.526 * * [simplify]: iters left: 3 (239 enodes) 455.596 * * [simplify]: Extracting #0: cost 1 inf + 0 455.596 * * [simplify]: Extracting #1: cost 54 inf + 0 455.597 * * [simplify]: Extracting #2: cost 126 inf + 0 455.597 * * [simplify]: Extracting #3: cost 173 inf + 0 455.598 * * [simplify]: Extracting #4: cost 181 inf + 178 455.599 * * [simplify]: Extracting #5: cost 148 inf + 3634 455.603 * * [simplify]: Extracting #6: cost 72 inf + 34343 455.613 * * [simplify]: Extracting #7: cost 17 inf + 72324 455.635 * * [simplify]: Extracting #8: cost 0 inf + 85488 455.660 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 455.660 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 455.660 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 455.660 * * [simplify]: iters left: 6 (17 enodes) 455.670 * * [simplify]: iters left: 5 (71 enodes) 455.698 * * [simplify]: iters left: 4 (119 enodes) 455.721 * * [simplify]: iters left: 3 (205 enodes) 455.776 * * [simplify]: iters left: 2 (425 enodes) 455.909 * * [simplify]: Extracting #0: cost 1 inf + 0 455.909 * * [simplify]: Extracting #1: cost 88 inf + 0 455.910 * * [simplify]: Extracting #2: cost 238 inf + 0 455.912 * * [simplify]: Extracting #3: cost 319 inf + 2 455.915 * * [simplify]: Extracting #4: cost 333 inf + 264 455.918 * * [simplify]: Extracting #5: cost 310 inf + 2787 455.930 * * [simplify]: Extracting #6: cost 197 inf + 46182 455.973 * * [simplify]: Extracting #7: cost 43 inf + 164595 456.014 * * [simplify]: Extracting #8: cost 0 inf + 199519 456.043 * * [simplify]: Extracting #9: cost 0 inf + 199268 456.086 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 456.086 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 456.086 * * * * [progress]: [ 566 / 675 ] simplifiying candidate # 456.086 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 456.086 * * [simplify]: iters left: 6 (19 enodes) 456.092 * * [simplify]: iters left: 5 (78 enodes) 456.107 * * [simplify]: iters left: 4 (126 enodes) 456.129 * * [simplify]: iters left: 3 (215 enodes) 456.175 * * [simplify]: iters left: 2 (439 enodes) 456.387 * * [simplify]: Extracting #0: cost 1 inf + 0 456.387 * * [simplify]: Extracting #1: cost 89 inf + 0 456.388 * * [simplify]: Extracting #2: cost 242 inf + 0 456.391 * * [simplify]: Extracting #3: cost 325 inf + 2 456.393 * * [simplify]: Extracting #4: cost 338 inf + 264 456.396 * * [simplify]: Extracting #5: cost 325 inf + 1881 456.402 * * [simplify]: Extracting #6: cost 262 inf + 10516 456.429 * * [simplify]: Extracting #7: cost 110 inf + 114965 456.494 * * [simplify]: Extracting #8: cost 1 inf + 211503 456.554 * * [simplify]: Extracting #9: cost 0 inf + 208849 456.597 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 456.597 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 456.597 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 456.597 * * [simplify]: iters left: 6 (18 enodes) 456.603 * * [simplify]: iters left: 5 (74 enodes) 456.623 * * [simplify]: iters left: 4 (122 enodes) 456.645 * * [simplify]: iters left: 3 (211 enodes) 456.724 * * [simplify]: iters left: 2 (432 enodes) 456.889 * * [simplify]: Extracting #0: cost 1 inf + 0 456.889 * * [simplify]: Extracting #1: cost 87 inf + 0 456.891 * * [simplify]: Extracting #2: cost 239 inf + 0 456.893 * * [simplify]: Extracting #3: cost 323 inf + 2 456.896 * * [simplify]: Extracting #4: cost 338 inf + 222 456.899 * * [simplify]: Extracting #5: cost 326 inf + 1738 456.904 * * [simplify]: Extracting #6: cost 274 inf + 8080 456.928 * * [simplify]: Extracting #7: cost 145 inf + 81348 456.979 * * [simplify]: Extracting #8: cost 10 inf + 195110 457.037 * * [simplify]: Extracting #9: cost 0 inf + 205022 457.096 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 457.096 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 457.096 * * * * [progress]: [ 567 / 675 ] simplifiying candidate # 457.097 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 457.097 * * [simplify]: iters left: 6 (20 enodes) 457.108 * * [simplify]: iters left: 5 (81 enodes) 457.122 * * [simplify]: iters left: 4 (129 enodes) 457.160 * * [simplify]: iters left: 3 (216 enodes) 457.224 * * [simplify]: iters left: 2 (432 enodes) 457.426 * * [simplify]: Extracting #0: cost 1 inf + 0 457.426 * * [simplify]: Extracting #1: cost 86 inf + 0 457.427 * * [simplify]: Extracting #2: cost 235 inf + 0 457.430 * * [simplify]: Extracting #3: cost 318 inf + 2 457.432 * * [simplify]: Extracting #4: cost 335 inf + 264 457.436 * * [simplify]: Extracting #5: cost 308 inf + 3095 457.450 * * [simplify]: Extracting #6: cost 179 inf + 58318 457.500 * * [simplify]: Extracting #7: cost 35 inf + 174793 457.551 * * [simplify]: Extracting #8: cost 0 inf + 203226 457.581 * * [simplify]: Extracting #9: cost 0 inf + 202563 457.641 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) 457.641 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))))) 457.642 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) 457.643 * * [simplify]: iters left: 6 (19 enodes) 457.653 * * [simplify]: iters left: 5 (77 enodes) 457.677 * * [simplify]: iters left: 4 (125 enodes) 457.699 * * [simplify]: iters left: 3 (214 enodes) 457.764 * * [simplify]: iters left: 2 (437 enodes) 457.906 * * [simplify]: Extracting #0: cost 1 inf + 0 457.906 * * [simplify]: Extracting #1: cost 91 inf + 0 457.907 * * [simplify]: Extracting #2: cost 243 inf + 0 457.908 * * [simplify]: Extracting #3: cost 326 inf + 2 457.913 * * [simplify]: Extracting #4: cost 341 inf + 264 457.916 * * [simplify]: Extracting #5: cost 322 inf + 2243 457.924 * * [simplify]: Extracting #6: cost 239 inf + 26081 457.956 * * [simplify]: Extracting #7: cost 97 inf + 123120 458.012 * * [simplify]: Extracting #8: cost 1 inf + 199704 458.050 * * [simplify]: Extracting #9: cost 0 inf + 200571 458.098 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))) 458.099 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt (sqrt k))))))) 458.099 * * * * [progress]: [ 568 / 675 ] simplifiying candidate # 458.099 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 458.099 * * [simplify]: iters left: 6 (16 enodes) 458.109 * * [simplify]: iters left: 5 (68 enodes) 458.133 * * [simplify]: iters left: 4 (108 enodes) 458.169 * * [simplify]: iters left: 3 (180 enodes) 458.210 * * [simplify]: iters left: 2 (343 enodes) 458.354 * * [simplify]: Extracting #0: cost 1 inf + 0 458.354 * * [simplify]: Extracting #1: cost 50 inf + 0 458.355 * * [simplify]: Extracting #2: cost 133 inf + 0 458.356 * * [simplify]: Extracting #3: cost 209 inf + 2 458.359 * * [simplify]: Extracting #4: cost 196 inf + 5228 458.370 * * [simplify]: Extracting #5: cost 102 inf + 40944 458.394 * * [simplify]: Extracting #6: cost 10 inf + 101931 458.424 * * [simplify]: Extracting #7: cost 0 inf + 107149 458.453 * * [simplify]: Extracting #8: cost 0 inf + 106888 458.473 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 458.474 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 458.474 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 458.474 * * [simplify]: iters left: 6 (16 enodes) 458.480 * * [simplify]: iters left: 5 (68 enodes) 458.493 * * [simplify]: iters left: 4 (108 enodes) 458.517 * * [simplify]: iters left: 3 (180 enodes) 458.587 * * [simplify]: iters left: 2 (343 enodes) 458.708 * * [simplify]: Extracting #0: cost 1 inf + 0 458.708 * * [simplify]: Extracting #1: cost 50 inf + 0 458.709 * * [simplify]: Extracting #2: cost 133 inf + 0 458.710 * * [simplify]: Extracting #3: cost 209 inf + 2 458.712 * * [simplify]: Extracting #4: cost 196 inf + 5228 458.719 * * [simplify]: Extracting #5: cost 102 inf + 40944 458.732 * * [simplify]: Extracting #6: cost 10 inf + 101931 458.747 * * [simplify]: Extracting #7: cost 0 inf + 107149 458.776 * * [simplify]: Extracting #8: cost 0 inf + 106888 458.805 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 458.805 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 458.806 * * * * [progress]: [ 569 / 675 ] simplifiying candidate # 458.806 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) 458.806 * * [simplify]: iters left: 6 (18 enodes) 458.822 * * [simplify]: iters left: 5 (74 enodes) 458.838 * * [simplify]: iters left: 4 (117 enodes) 458.858 * * [simplify]: iters left: 3 (201 enodes) 458.928 * * [simplify]: iters left: 2 (415 enodes) 459.114 * * [simplify]: Extracting #0: cost 1 inf + 0 459.114 * * [simplify]: Extracting #1: cost 68 inf + 0 459.115 * * [simplify]: Extracting #2: cost 163 inf + 1 459.116 * * [simplify]: Extracting #3: cost 222 inf + 3 459.117 * * [simplify]: Extracting #4: cost 239 inf + 139 459.118 * * [simplify]: Extracting #5: cost 218 inf + 3592 459.123 * * [simplify]: Extracting #6: cost 130 inf + 26439 459.138 * * [simplify]: Extracting #7: cost 24 inf + 99728 459.169 * * [simplify]: Extracting #8: cost 0 inf + 119735 459.194 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 459.194 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 459.194 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 459.194 * * [simplify]: iters left: 6 (16 enodes) 459.200 * * [simplify]: iters left: 5 (68 enodes) 459.212 * * [simplify]: iters left: 4 (116 enodes) 459.232 * * [simplify]: iters left: 3 (205 enodes) 459.313 * * [simplify]: iters left: 2 (426 enodes) 459.486 * * [simplify]: Extracting #0: cost 1 inf + 0 459.486 * * [simplify]: Extracting #1: cost 86 inf + 0 459.486 * * [simplify]: Extracting #2: cost 236 inf + 0 459.488 * * [simplify]: Extracting #3: cost 317 inf + 2 459.489 * * [simplify]: Extracting #4: cost 319 inf + 1129 459.493 * * [simplify]: Extracting #5: cost 232 inf + 28039 459.527 * * [simplify]: Extracting #6: cost 51 inf + 146810 459.556 * * [simplify]: Extracting #7: cost 0 inf + 192411 459.596 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 459.596 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 459.596 * * * * [progress]: [ 570 / 675 ] simplifiying candidate # 459.596 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 459.597 * * [simplify]: iters left: 6 (16 enodes) 459.606 * * [simplify]: iters left: 5 (68 enodes) 459.630 * * [simplify]: iters left: 4 (108 enodes) 459.669 * * [simplify]: iters left: 3 (180 enodes) 459.735 * * [simplify]: iters left: 2 (343 enodes) 459.827 * * [simplify]: Extracting #0: cost 1 inf + 0 459.827 * * [simplify]: Extracting #1: cost 50 inf + 0 459.828 * * [simplify]: Extracting #2: cost 133 inf + 0 459.830 * * [simplify]: Extracting #3: cost 209 inf + 2 459.832 * * [simplify]: Extracting #4: cost 196 inf + 5228 459.843 * * [simplify]: Extracting #5: cost 102 inf + 40944 459.867 * * [simplify]: Extracting #6: cost 10 inf + 101931 459.902 * * [simplify]: Extracting #7: cost 0 inf + 107149 459.928 * * [simplify]: Extracting #8: cost 0 inf + 106888 459.943 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 459.943 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 459.943 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 459.943 * * [simplify]: iters left: 6 (16 enodes) 459.948 * * [simplify]: iters left: 5 (68 enodes) 459.965 * * [simplify]: iters left: 4 (108 enodes) 460.001 * * [simplify]: iters left: 3 (180 enodes) 460.051 * * [simplify]: iters left: 2 (343 enodes) 460.189 * * [simplify]: Extracting #0: cost 1 inf + 0 460.189 * * [simplify]: Extracting #1: cost 50 inf + 0 460.189 * * [simplify]: Extracting #2: cost 133 inf + 0 460.191 * * [simplify]: Extracting #3: cost 209 inf + 2 460.193 * * [simplify]: Extracting #4: cost 196 inf + 5228 460.205 * * [simplify]: Extracting #5: cost 102 inf + 40944 460.227 * * [simplify]: Extracting #6: cost 10 inf + 101931 460.243 * * [simplify]: Extracting #7: cost 0 inf + 107149 460.260 * * [simplify]: Extracting #8: cost 0 inf + 106888 460.289 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 460.289 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 460.289 * * * * [progress]: [ 571 / 675 ] simplifiying candidate # 460.290 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 460.290 * * [simplify]: iters left: 6 (17 enodes) 460.300 * * [simplify]: iters left: 5 (71 enodes) 460.323 * * [simplify]: iters left: 4 (114 enodes) 460.361 * * [simplify]: iters left: 3 (193 enodes) 460.406 * * [simplify]: iters left: 2 (393 enodes) 460.565 * * [simplify]: Extracting #0: cost 1 inf + 0 460.565 * * [simplify]: Extracting #1: cost 68 inf + 0 460.567 * * [simplify]: Extracting #2: cost 168 inf + 1 460.569 * * [simplify]: Extracting #3: cost 223 inf + 3 460.571 * * [simplify]: Extracting #4: cost 238 inf + 181 460.574 * * [simplify]: Extracting #5: cost 225 inf + 1879 460.580 * * [simplify]: Extracting #6: cost 146 inf + 21045 460.595 * * [simplify]: Extracting #7: cost 32 inf + 96771 460.618 * * [simplify]: Extracting #8: cost 0 inf + 119621 460.645 * * [simplify]: Extracting #9: cost 0 inf + 119341 460.671 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) 460.671 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 460.671 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 460.671 * * [simplify]: iters left: 6 (16 enodes) 460.676 * * [simplify]: iters left: 5 (68 enodes) 460.688 * * [simplify]: iters left: 4 (116 enodes) 460.721 * * [simplify]: iters left: 3 (205 enodes) 460.802 * * [simplify]: iters left: 2 (426 enodes) 460.986 * * [simplify]: Extracting #0: cost 1 inf + 0 460.987 * * [simplify]: Extracting #1: cost 86 inf + 0 460.988 * * [simplify]: Extracting #2: cost 236 inf + 0 460.990 * * [simplify]: Extracting #3: cost 317 inf + 2 460.993 * * [simplify]: Extracting #4: cost 319 inf + 1129 461.001 * * [simplify]: Extracting #5: cost 232 inf + 28039 461.038 * * [simplify]: Extracting #6: cost 51 inf + 146810 461.078 * * [simplify]: Extracting #7: cost 0 inf + 192411 461.110 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 461.110 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 461.111 * * * * [progress]: [ 572 / 675 ] simplifiying candidate # 461.111 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 461.111 * * [simplify]: iters left: 6 (16 enodes) 461.120 * * [simplify]: iters left: 5 (68 enodes) 461.131 * * [simplify]: iters left: 4 (108 enodes) 461.152 * * [simplify]: iters left: 3 (180 enodes) 461.222 * * [simplify]: iters left: 2 (343 enodes) 461.328 * * [simplify]: Extracting #0: cost 1 inf + 0 461.328 * * [simplify]: Extracting #1: cost 50 inf + 0 461.329 * * [simplify]: Extracting #2: cost 133 inf + 0 461.329 * * [simplify]: Extracting #3: cost 209 inf + 2 461.331 * * [simplify]: Extracting #4: cost 196 inf + 5228 461.336 * * [simplify]: Extracting #5: cost 102 inf + 40944 461.351 * * [simplify]: Extracting #6: cost 10 inf + 101931 461.381 * * [simplify]: Extracting #7: cost 0 inf + 107149 461.410 * * [simplify]: Extracting #8: cost 0 inf + 106888 461.439 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 461.439 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 461.440 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 461.440 * * [simplify]: iters left: 6 (16 enodes) 461.452 * * [simplify]: iters left: 5 (68 enodes) 461.465 * * [simplify]: iters left: 4 (108 enodes) 461.484 * * [simplify]: iters left: 3 (180 enodes) 461.532 * * [simplify]: iters left: 2 (343 enodes) 461.649 * * [simplify]: Extracting #0: cost 1 inf + 0 461.649 * * [simplify]: Extracting #1: cost 50 inf + 0 461.650 * * [simplify]: Extracting #2: cost 133 inf + 0 461.651 * * [simplify]: Extracting #3: cost 209 inf + 2 461.653 * * [simplify]: Extracting #4: cost 196 inf + 5228 461.669 * * [simplify]: Extracting #5: cost 102 inf + 40944 461.694 * * [simplify]: Extracting #6: cost 10 inf + 101931 461.711 * * [simplify]: Extracting #7: cost 0 inf + 107149 461.725 * * [simplify]: Extracting #8: cost 0 inf + 106888 461.746 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 461.746 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 461.746 * * * * [progress]: [ 573 / 675 ] simplifiying candidate # 461.747 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) 461.747 * * [simplify]: iters left: 6 (16 enodes) 461.756 * * [simplify]: iters left: 5 (66 enodes) 461.779 * * [simplify]: iters left: 4 (110 enodes) 461.821 * * [simplify]: iters left: 3 (196 enodes) 461.899 * * [simplify]: iters left: 2 (429 enodes) 462.135 * * [simplify]: Extracting #0: cost 1 inf + 0 462.135 * * [simplify]: Extracting #1: cost 64 inf + 0 462.136 * * [simplify]: Extracting #2: cost 160 inf + 1 462.137 * * [simplify]: Extracting #3: cost 219 inf + 3 462.138 * * [simplify]: Extracting #4: cost 232 inf + 181 462.139 * * [simplify]: Extracting #5: cost 209 inf + 3670 462.148 * * [simplify]: Extracting #6: cost 85 inf + 59641 462.170 * * [simplify]: Extracting #7: cost 0 inf + 122891 462.203 * * [simplify]: Extracting #8: cost 0 inf + 121636 462.251 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) 462.251 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 462.252 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 462.252 * * [simplify]: iters left: 6 (16 enodes) 462.262 * * [simplify]: iters left: 5 (68 enodes) 462.276 * * [simplify]: iters left: 4 (116 enodes) 462.301 * * [simplify]: iters left: 3 (205 enodes) 462.361 * * [simplify]: iters left: 2 (426 enodes) 462.547 * * [simplify]: Extracting #0: cost 1 inf + 0 462.547 * * [simplify]: Extracting #1: cost 86 inf + 0 462.548 * * [simplify]: Extracting #2: cost 236 inf + 0 462.551 * * [simplify]: Extracting #3: cost 317 inf + 2 462.553 * * [simplify]: Extracting #4: cost 319 inf + 1129 462.562 * * [simplify]: Extracting #5: cost 232 inf + 28039 462.600 * * [simplify]: Extracting #6: cost 51 inf + 146810 462.646 * * [simplify]: Extracting #7: cost 0 inf + 192411 462.700 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 462.700 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 462.701 * * * * [progress]: [ 574 / 675 ] simplifiying candidate # 462.701 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 462.701 * * [simplify]: iters left: 6 (17 enodes) 462.711 * * [simplify]: iters left: 5 (71 enodes) 462.739 * * [simplify]: iters left: 4 (124 enodes) 462.771 * * [simplify]: iters left: 3 (249 enodes) 462.861 * * [simplify]: Extracting #0: cost 1 inf + 0 462.861 * * [simplify]: Extracting #1: cost 37 inf + 0 462.862 * * [simplify]: Extracting #2: cost 100 inf + 1 462.862 * * [simplify]: Extracting #3: cost 141 inf + 2 462.863 * * [simplify]: Extracting #4: cost 148 inf + 261 462.863 * * [simplify]: Extracting #5: cost 141 inf + 722 462.865 * * [simplify]: Extracting #6: cost 92 inf + 8888 462.871 * * [simplify]: Extracting #7: cost 28 inf + 40334 462.880 * * [simplify]: Extracting #8: cost 0 inf + 59357 462.894 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 462.894 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 462.895 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 462.895 * * [simplify]: iters left: 6 (16 enodes) 462.903 * * [simplify]: iters left: 5 (68 enodes) 462.925 * * [simplify]: iters left: 4 (116 enodes) 462.969 * * [simplify]: iters left: 3 (205 enodes) 463.047 * * [simplify]: iters left: 2 (426 enodes) 463.214 * * [simplify]: Extracting #0: cost 1 inf + 0 463.214 * * [simplify]: Extracting #1: cost 88 inf + 0 463.215 * * [simplify]: Extracting #2: cost 239 inf + 0 463.216 * * [simplify]: Extracting #3: cost 320 inf + 2 463.217 * * [simplify]: Extracting #4: cost 318 inf + 1541 463.221 * * [simplify]: Extracting #5: cost 250 inf + 20694 463.243 * * [simplify]: Extracting #6: cost 68 inf + 144119 463.299 * * [simplify]: Extracting #7: cost 0 inf + 199745 463.359 * * [simplify]: Extracting #8: cost 0 inf + 198251 463.397 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 463.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 463.397 * * * * [progress]: [ 575 / 675 ] simplifiying candidate # 463.397 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 463.397 * * [simplify]: iters left: 6 (17 enodes) 463.402 * * [simplify]: iters left: 5 (70 enodes) 463.418 * * [simplify]: iters left: 4 (115 enodes) 463.442 * * [simplify]: iters left: 3 (204 enodes) 463.498 * * [simplify]: iters left: 2 (433 enodes) 463.729 * * [simplify]: Extracting #0: cost 1 inf + 0 463.729 * * [simplify]: Extracting #1: cost 64 inf + 0 463.730 * * [simplify]: Extracting #2: cost 212 inf + 1 463.732 * * [simplify]: Extracting #3: cost 270 inf + 3 463.735 * * [simplify]: Extracting #4: cost 285 inf + 222 463.739 * * [simplify]: Extracting #5: cost 253 inf + 3562 463.751 * * [simplify]: Extracting #6: cost 139 inf + 46337 463.792 * * [simplify]: Extracting #7: cost 15 inf + 142213 463.826 * * [simplify]: Extracting #8: cost 0 inf + 155803 463.862 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) 463.862 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 463.862 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 463.862 * * [simplify]: iters left: 6 (17 enodes) 463.872 * * [simplify]: iters left: 5 (71 enodes) 463.895 * * [simplify]: iters left: 4 (119 enodes) 463.935 * * [simplify]: iters left: 3 (205 enodes) 464.016 * * [simplify]: iters left: 2 (425 enodes) 464.167 * * [simplify]: Extracting #0: cost 1 inf + 0 464.167 * * [simplify]: Extracting #1: cost 88 inf + 0 464.168 * * [simplify]: Extracting #2: cost 239 inf + 0 464.169 * * [simplify]: Extracting #3: cost 321 inf + 2 464.170 * * [simplify]: Extracting #4: cost 321 inf + 1045 464.174 * * [simplify]: Extracting #5: cost 244 inf + 23907 464.197 * * [simplify]: Extracting #6: cost 96 inf + 117557 464.242 * * [simplify]: Extracting #7: cost 9 inf + 184035 464.272 * * [simplify]: Extracting #8: cost 0 inf + 190157 464.319 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 464.319 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 464.319 * * * * [progress]: [ 576 / 675 ] simplifiying candidate # 464.319 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 464.319 * * [simplify]: iters left: 6 (17 enodes) 464.329 * * [simplify]: iters left: 5 (70 enodes) 464.353 * * [simplify]: iters left: 4 (115 enodes) 464.393 * * [simplify]: iters left: 3 (204 enodes) 464.455 * * [simplify]: iters left: 2 (433 enodes) 464.701 * * [simplify]: Extracting #0: cost 1 inf + 0 464.701 * * [simplify]: Extracting #1: cost 64 inf + 0 464.702 * * [simplify]: Extracting #2: cost 211 inf + 1 464.705 * * [simplify]: Extracting #3: cost 269 inf + 3 464.707 * * [simplify]: Extracting #4: cost 285 inf + 222 464.710 * * [simplify]: Extracting #5: cost 253 inf + 3562 464.724 * * [simplify]: Extracting #6: cost 139 inf + 46337 464.752 * * [simplify]: Extracting #7: cost 15 inf + 142213 464.777 * * [simplify]: Extracting #8: cost 0 inf + 155803 464.807 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) 464.807 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 464.807 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 464.807 * * [simplify]: iters left: 6 (18 enodes) 464.814 * * [simplify]: iters left: 5 (74 enodes) 464.838 * * [simplify]: iters left: 4 (122 enodes) 464.860 * * [simplify]: iters left: 3 (211 enodes) 464.932 * * [simplify]: iters left: 2 (432 enodes) 465.077 * * [simplify]: Extracting #0: cost 1 inf + 0 465.077 * * [simplify]: Extracting #1: cost 88 inf + 0 465.078 * * [simplify]: Extracting #2: cost 240 inf + 0 465.079 * * [simplify]: Extracting #3: cost 325 inf + 2 465.080 * * [simplify]: Extracting #4: cost 322 inf + 2207 465.090 * * [simplify]: Extracting #5: cost 200 inf + 51819 465.118 * * [simplify]: Extracting #6: cost 45 inf + 159409 465.169 * * [simplify]: Extracting #7: cost 0 inf + 199457 465.221 * * [simplify]: Extracting #8: cost 0 inf + 198824 465.249 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))) 465.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k))))))) 465.250 * * * * [progress]: [ 577 / 675 ] simplifiying candidate # 465.250 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) 465.250 * * [simplify]: iters left: 6 (16 enodes) 465.255 * * [simplify]: iters left: 5 (66 enodes) 465.278 * * [simplify]: iters left: 4 (111 enodes) 465.318 * * [simplify]: iters left: 3 (203 enodes) 465.371 * * [simplify]: iters left: 2 (423 enodes) 465.583 * * [simplify]: Extracting #0: cost 1 inf + 0 465.583 * * [simplify]: Extracting #1: cost 65 inf + 0 465.585 * * [simplify]: Extracting #2: cost 197 inf + 1 465.586 * * [simplify]: Extracting #3: cost 253 inf + 3 465.587 * * [simplify]: Extracting #4: cost 266 inf + 181 465.589 * * [simplify]: Extracting #5: cost 247 inf + 2251 465.593 * * [simplify]: Extracting #6: cost 168 inf + 22050 465.609 * * [simplify]: Extracting #7: cost 64 inf + 93756 465.633 * * [simplify]: Extracting #8: cost 1 inf + 144193 465.660 * * [simplify]: Extracting #9: cost 0 inf + 143810 465.685 * * [simplify]: Extracting #10: cost 0 inf + 143769 465.715 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 465.715 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 465.716 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 465.716 * * [simplify]: iters left: 6 (16 enodes) 465.725 * * [simplify]: iters left: 5 (68 enodes) 465.749 * * [simplify]: iters left: 4 (116 enodes) 465.787 * * [simplify]: iters left: 3 (205 enodes) 465.863 * * [simplify]: iters left: 2 (426 enodes) 466.036 * * [simplify]: Extracting #0: cost 1 inf + 0 466.036 * * [simplify]: Extracting #1: cost 88 inf + 0 466.038 * * [simplify]: Extracting #2: cost 239 inf + 0 466.040 * * [simplify]: Extracting #3: cost 320 inf + 2 466.042 * * [simplify]: Extracting #4: cost 318 inf + 1501 466.049 * * [simplify]: Extracting #5: cost 250 inf + 20174 466.073 * * [simplify]: Extracting #6: cost 68 inf + 140759 466.116 * * [simplify]: Extracting #7: cost 0 inf + 194705 466.162 * * [simplify]: Extracting #8: cost 0 inf + 193211 466.208 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 466.208 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 466.209 * * * * [progress]: [ 578 / 675 ] simplifiying candidate # 466.209 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt 1))) 466.209 * * [simplify]: iters left: 6 (15 enodes) 466.216 * * [simplify]: iters left: 5 (63 enodes) 466.225 * * [simplify]: iters left: 4 (101 enodes) 466.244 * * [simplify]: iters left: 3 (162 enodes) 466.301 * * [simplify]: iters left: 2 (297 enodes) 466.405 * * [simplify]: Extracting #0: cost 1 inf + 0 466.405 * * [simplify]: Extracting #1: cost 30 inf + 0 466.405 * * [simplify]: Extracting #2: cost 97 inf + 2 466.406 * * [simplify]: Extracting #3: cost 143 inf + 218 466.407 * * [simplify]: Extracting #4: cost 139 inf + 931 466.411 * * [simplify]: Extracting #5: cost 84 inf + 6516 466.418 * * [simplify]: Extracting #6: cost 35 inf + 26956 466.435 * * [simplify]: Extracting #7: cost 1 inf + 51840 466.448 * * [simplify]: Extracting #8: cost 0 inf + 51899 466.455 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 466.455 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 466.455 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 466.456 * * [simplify]: iters left: 6 (15 enodes) 466.460 * * [simplify]: iters left: 5 (65 enodes) 466.471 * * [simplify]: iters left: 4 (105 enodes) 466.489 * * [simplify]: iters left: 3 (177 enodes) 466.525 * * [simplify]: iters left: 2 (337 enodes) 466.603 * * [simplify]: Extracting #0: cost 1 inf + 0 466.603 * * [simplify]: Extracting #1: cost 50 inf + 0 466.603 * * [simplify]: Extracting #2: cost 133 inf + 0 466.604 * * [simplify]: Extracting #3: cost 205 inf + 3 466.605 * * [simplify]: Extracting #4: cost 205 inf + 1172 466.607 * * [simplify]: Extracting #5: cost 146 inf + 12952 466.620 * * [simplify]: Extracting #6: cost 54 inf + 61675 466.646 * * [simplify]: Extracting #7: cost 4 inf + 100246 466.674 * * [simplify]: Extracting #8: cost 0 inf + 103589 466.702 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 466.702 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt 1))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 466.703 * * * * [progress]: [ 579 / 675 ] simplifiying candidate # 466.703 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) 466.703 * * [simplify]: iters left: 6 (16 enodes) 466.713 * * [simplify]: iters left: 5 (66 enodes) 466.739 * * [simplify]: iters left: 4 (111 enodes) 466.780 * * [simplify]: iters left: 3 (203 enodes) 466.866 * * [simplify]: iters left: 2 (423 enodes) 467.045 * * [simplify]: Extracting #0: cost 1 inf + 0 467.045 * * [simplify]: Extracting #1: cost 65 inf + 0 467.045 * * [simplify]: Extracting #2: cost 197 inf + 1 467.046 * * [simplify]: Extracting #3: cost 253 inf + 3 467.047 * * [simplify]: Extracting #4: cost 266 inf + 181 467.049 * * [simplify]: Extracting #5: cost 247 inf + 2251 467.053 * * [simplify]: Extracting #6: cost 168 inf + 22050 467.066 * * [simplify]: Extracting #7: cost 64 inf + 93756 467.103 * * [simplify]: Extracting #8: cost 1 inf + 144193 467.135 * * [simplify]: Extracting #9: cost 0 inf + 143810 467.169 * * [simplify]: Extracting #10: cost 0 inf + 143769 467.196 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 467.196 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 467.197 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 467.197 * * [simplify]: iters left: 6 (16 enodes) 467.206 * * [simplify]: iters left: 5 (68 enodes) 467.223 * * [simplify]: iters left: 4 (116 enodes) 467.247 * * [simplify]: iters left: 3 (205 enodes) 467.325 * * [simplify]: iters left: 2 (426 enodes) 467.510 * * [simplify]: Extracting #0: cost 1 inf + 0 467.511 * * [simplify]: Extracting #1: cost 88 inf + 0 467.512 * * [simplify]: Extracting #2: cost 239 inf + 0 467.514 * * [simplify]: Extracting #3: cost 320 inf + 2 467.517 * * [simplify]: Extracting #4: cost 318 inf + 1501 467.524 * * [simplify]: Extracting #5: cost 250 inf + 20174 467.559 * * [simplify]: Extracting #6: cost 68 inf + 140759 467.604 * * [simplify]: Extracting #7: cost 0 inf + 194705 467.638 * * [simplify]: Extracting #8: cost 0 inf + 193211 467.670 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 467.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 467.671 * * * * [progress]: [ 580 / 675 ] simplifiying candidate # 467.671 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt 1)) 467.671 * * [simplify]: iters left: 6 (14 enodes) 467.681 * * [simplify]: iters left: 5 (60 enodes) 467.700 * * [simplify]: iters left: 4 (98 enodes) 467.716 * * [simplify]: iters left: 3 (157 enodes) 467.756 * * [simplify]: iters left: 2 (291 enodes) 467.855 * * [simplify]: Extracting #0: cost 1 inf + 0 467.855 * * [simplify]: Extracting #1: cost 33 inf + 0 467.855 * * [simplify]: Extracting #2: cost 99 inf + 2 467.856 * * [simplify]: Extracting #3: cost 142 inf + 218 467.856 * * [simplify]: Extracting #4: cost 143 inf + 433 467.857 * * [simplify]: Extracting #5: cost 112 inf + 3419 467.860 * * [simplify]: Extracting #6: cost 52 inf + 19743 467.867 * * [simplify]: Extracting #7: cost 7 inf + 48772 467.877 * * [simplify]: Extracting #8: cost 0 inf + 52729 467.893 * * [simplify]: Extracting #9: cost 0 inf + 52124 467.913 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 467.913 * [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 (sqrt k))) (sqrt (sqrt k))))) 467.913 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 467.914 * * [simplify]: iters left: 6 (15 enodes) 467.922 * * [simplify]: iters left: 5 (65 enodes) 467.943 * * [simplify]: iters left: 4 (105 enodes) 467.963 * * [simplify]: iters left: 3 (177 enodes) 468.019 * * [simplify]: iters left: 2 (337 enodes) 468.120 * * [simplify]: Extracting #0: cost 1 inf + 0 468.120 * * [simplify]: Extracting #1: cost 50 inf + 0 468.121 * * [simplify]: Extracting #2: cost 133 inf + 0 468.121 * * [simplify]: Extracting #3: cost 205 inf + 3 468.123 * * [simplify]: Extracting #4: cost 205 inf + 1172 468.128 * * [simplify]: Extracting #5: cost 146 inf + 12952 468.143 * * [simplify]: Extracting #6: cost 54 inf + 61675 468.169 * * [simplify]: Extracting #7: cost 4 inf + 100246 468.185 * * [simplify]: Extracting #8: cost 0 inf + 103589 468.199 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 468.200 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 468.200 * * * * [progress]: [ 581 / 675 ] simplifiying candidate # 468.200 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) 468.200 * * [simplify]: iters left: 6 (16 enodes) 468.210 * * [simplify]: iters left: 5 (66 enodes) 468.232 * * [simplify]: iters left: 4 (111 enodes) 468.275 * * [simplify]: iters left: 3 (203 enodes) 468.358 * * [simplify]: iters left: 2 (423 enodes) 468.600 * * [simplify]: Extracting #0: cost 1 inf + 0 468.601 * * [simplify]: Extracting #1: cost 65 inf + 0 468.602 * * [simplify]: Extracting #2: cost 197 inf + 1 468.604 * * [simplify]: Extracting #3: cost 253 inf + 3 468.606 * * [simplify]: Extracting #4: cost 266 inf + 181 468.609 * * [simplify]: Extracting #5: cost 247 inf + 2251 468.616 * * [simplify]: Extracting #6: cost 168 inf + 22050 468.634 * * [simplify]: Extracting #7: cost 64 inf + 93756 468.663 * * [simplify]: Extracting #8: cost 1 inf + 144193 468.699 * * [simplify]: Extracting #9: cost 0 inf + 143810 468.728 * * [simplify]: Extracting #10: cost 0 inf + 143769 468.764 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) 468.764 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 468.765 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 468.765 * * [simplify]: iters left: 6 (16 enodes) 468.770 * * [simplify]: iters left: 5 (68 enodes) 468.782 * * [simplify]: iters left: 4 (116 enodes) 468.814 * * [simplify]: iters left: 3 (205 enodes) 468.862 * * [simplify]: iters left: 2 (426 enodes) 469.001 * * [simplify]: Extracting #0: cost 1 inf + 0 469.001 * * [simplify]: Extracting #1: cost 88 inf + 0 469.001 * * [simplify]: Extracting #2: cost 239 inf + 0 469.002 * * [simplify]: Extracting #3: cost 320 inf + 2 469.004 * * [simplify]: Extracting #4: cost 318 inf + 1501 469.008 * * [simplify]: Extracting #5: cost 250 inf + 20174 469.043 * * [simplify]: Extracting #6: cost 68 inf + 140759 469.076 * * [simplify]: Extracting #7: cost 0 inf + 194705 469.131 * * [simplify]: Extracting #8: cost 0 inf + 193211 469.172 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 469.172 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 469.172 * * * * [progress]: [ 582 / 675 ] simplifiying candidate # 469.172 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 1) 469.172 * * [simplify]: iters left: 6 (13 enodes) 469.177 * * [simplify]: iters left: 5 (53 enodes) 469.186 * * [simplify]: iters left: 4 (93 enodes) 469.215 * * [simplify]: iters left: 3 (157 enodes) 469.274 * * [simplify]: iters left: 2 (301 enodes) 469.376 * * [simplify]: Extracting #0: cost 1 inf + 0 469.376 * * [simplify]: Extracting #1: cost 30 inf + 0 469.376 * * [simplify]: Extracting #2: cost 97 inf + 2 469.377 * * [simplify]: Extracting #3: cost 142 inf + 218 469.378 * * [simplify]: Extracting #4: cost 139 inf + 725 469.381 * * [simplify]: Extracting #5: cost 85 inf + 6222 469.387 * * [simplify]: Extracting #6: cost 41 inf + 21572 469.401 * * [simplify]: Extracting #7: cost 4 inf + 47895 469.418 * * [simplify]: Extracting #8: cost 0 inf + 50699 469.433 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 469.433 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 469.434 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 469.434 * * [simplify]: iters left: 6 (15 enodes) 469.443 * * [simplify]: iters left: 5 (65 enodes) 469.465 * * [simplify]: iters left: 4 (105 enodes) 469.506 * * [simplify]: iters left: 3 (177 enodes) 469.566 * * [simplify]: iters left: 2 (337 enodes) 469.664 * * [simplify]: Extracting #0: cost 1 inf + 0 469.665 * * [simplify]: Extracting #1: cost 50 inf + 0 469.665 * * [simplify]: Extracting #2: cost 133 inf + 0 469.666 * * [simplify]: Extracting #3: cost 205 inf + 3 469.668 * * [simplify]: Extracting #4: cost 205 inf + 1172 469.671 * * [simplify]: Extracting #5: cost 146 inf + 12952 469.678 * * [simplify]: Extracting #6: cost 54 inf + 61675 469.696 * * [simplify]: Extracting #7: cost 4 inf + 100246 469.724 * * [simplify]: Extracting #8: cost 0 inf + 103589 469.751 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 469.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 469.752 * * * * [progress]: [ 583 / 675 ] simplifiying candidate # 469.752 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 469.752 * * [simplify]: iters left: 6 (7 enodes) 469.756 * * [simplify]: iters left: 5 (25 enodes) 469.764 * * [simplify]: iters left: 4 (29 enodes) 469.773 * * [simplify]: Extracting #0: cost 1 inf + 0 469.773 * * [simplify]: Extracting #1: cost 6 inf + 0 469.773 * * [simplify]: Extracting #2: cost 9 inf + 1 469.773 * * [simplify]: Extracting #3: cost 11 inf + 1 469.773 * * [simplify]: Extracting #4: cost 13 inf + 1 469.773 * * [simplify]: Extracting #5: cost 12 inf + 2 469.773 * * [simplify]: Extracting #6: cost 8 inf + 246 469.774 * * [simplify]: Extracting #7: cost 5 inf + 810 469.774 * * [simplify]: Extracting #8: cost 1 inf + 1616 469.775 * * [simplify]: Extracting #9: cost 0 inf + 1858 469.775 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 469.775 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 469.776 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 469.776 * * [simplify]: iters left: 6 (15 enodes) 469.784 * * [simplify]: iters left: 5 (62 enodes) 469.805 * * [simplify]: iters left: 4 (107 enodes) 469.825 * * [simplify]: iters left: 3 (177 enodes) 469.883 * * [simplify]: iters left: 2 (355 enodes) 470.066 * * [simplify]: Extracting #0: cost 1 inf + 0 470.066 * * [simplify]: Extracting #1: cost 88 inf + 0 470.067 * * [simplify]: Extracting #2: cost 238 inf + 0 470.070 * * [simplify]: Extracting #3: cost 310 inf + 2 470.073 * * [simplify]: Extracting #4: cost 299 inf + 3879 470.079 * * [simplify]: Extracting #5: cost 243 inf + 16625 470.109 * * [simplify]: Extracting #6: cost 81 inf + 126694 470.133 * * [simplify]: Extracting #7: cost 1 inf + 190486 470.167 * * [simplify]: Extracting #8: cost 0 inf + 189370 470.207 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 470.207 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 470.207 * * * * [progress]: [ 584 / 675 ] simplifiying candidate # 470.207 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 470.207 * * [simplify]: iters left: 6 (7 enodes) 470.209 * * [simplify]: iters left: 5 (24 enodes) 470.213 * * [simplify]: iters left: 4 (26 enodes) 470.217 * * [simplify]: Extracting #0: cost 1 inf + 0 470.217 * * [simplify]: Extracting #1: cost 4 inf + 0 470.217 * * [simplify]: Extracting #2: cost 6 inf + 1 470.217 * * [simplify]: Extracting #3: cost 9 inf + 1 470.217 * * [simplify]: Extracting #4: cost 11 inf + 1 470.217 * * [simplify]: Extracting #5: cost 8 inf + 84 470.217 * * [simplify]: Extracting #6: cost 2 inf + 1052 470.217 * * [simplify]: Extracting #7: cost 0 inf + 1374 470.218 * [simplify]: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 470.218 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 470.218 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 470.218 * * [simplify]: iters left: 6 (16 enodes) 470.223 * * [simplify]: iters left: 5 (65 enodes) 470.238 * * [simplify]: iters left: 4 (110 enodes) 470.257 * * [simplify]: iters left: 3 (184 enodes) 470.312 * * [simplify]: iters left: 2 (367 enodes) 470.433 * * [simplify]: Extracting #0: cost 1 inf + 0 470.433 * * [simplify]: Extracting #1: cost 86 inf + 0 470.434 * * [simplify]: Extracting #2: cost 239 inf + 0 470.436 * * [simplify]: Extracting #3: cost 312 inf + 2 470.440 * * [simplify]: Extracting #4: cost 291 inf + 6114 470.453 * * [simplify]: Extracting #5: cost 176 inf + 59226 470.485 * * [simplify]: Extracting #6: cost 71 inf + 131998 470.531 * * [simplify]: Extracting #7: cost 4 inf + 186864 470.559 * * [simplify]: Extracting #8: cost 0 inf + 190571 470.588 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 470.588 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 470.588 * * * * [progress]: [ 585 / 675 ] simplifiying candidate # 470.588 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 470.589 * * [simplify]: iters left: 6 (7 enodes) 470.591 * * [simplify]: iters left: 5 (24 enodes) 470.595 * * [simplify]: iters left: 4 (26 enodes) 470.600 * * [simplify]: Extracting #0: cost 1 inf + 0 470.600 * * [simplify]: Extracting #1: cost 4 inf + 0 470.600 * * [simplify]: Extracting #2: cost 5 inf + 1 470.600 * * [simplify]: Extracting #3: cost 8 inf + 1 470.600 * * [simplify]: Extracting #4: cost 11 inf + 1 470.600 * * [simplify]: Extracting #5: cost 8 inf + 164 470.601 * * [simplify]: Extracting #6: cost 2 inf + 1092 470.601 * * [simplify]: Extracting #7: cost 0 inf + 1374 470.601 * [simplify]: Simplified to (/ 1 (sqrt (fabs (cbrt k)))) 470.601 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 470.601 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 470.601 * * [simplify]: iters left: 6 (17 enodes) 470.607 * * [simplify]: iters left: 5 (68 enodes) 470.620 * * [simplify]: iters left: 4 (113 enodes) 470.643 * * [simplify]: iters left: 3 (186 enodes) 470.692 * * [simplify]: iters left: 2 (369 enodes) 470.825 * * [simplify]: Extracting #0: cost 1 inf + 0 470.825 * * [simplify]: Extracting #1: cost 88 inf + 0 470.827 * * [simplify]: Extracting #2: cost 240 inf + 0 470.829 * * [simplify]: Extracting #3: cost 314 inf + 2 470.832 * * [simplify]: Extracting #4: cost 299 inf + 3359 470.840 * * [simplify]: Extracting #5: cost 234 inf + 22374 470.858 * * [simplify]: Extracting #6: cost 60 inf + 148138 470.884 * * [simplify]: Extracting #7: cost 0 inf + 197383 470.925 * * [simplify]: Extracting #8: cost 0 inf + 193828 470.968 * * [simplify]: Extracting #9: cost 0 inf + 193788 470.994 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 470.994 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 470.994 * * * * [progress]: [ 586 / 675 ] simplifiying candidate # 470.994 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 470.994 * * [simplify]: iters left: 5 (6 enodes) 470.996 * * [simplify]: iters left: 4 (20 enodes) 471.000 * * [simplify]: iters left: 3 (22 enodes) 471.007 * * [simplify]: Extracting #0: cost 1 inf + 0 471.007 * * [simplify]: Extracting #1: cost 4 inf + 0 471.007 * * [simplify]: Extracting #2: cost 5 inf + 1 471.007 * * [simplify]: Extracting #3: cost 7 inf + 1 471.007 * * [simplify]: Extracting #4: cost 9 inf + 1 471.007 * * [simplify]: Extracting #5: cost 8 inf + 2 471.007 * * [simplify]: Extracting #6: cost 1 inf + 650 471.008 * * [simplify]: Extracting #7: cost 0 inf + 812 471.008 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 471.008 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 471.008 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 471.009 * * [simplify]: iters left: 6 (15 enodes) 471.017 * * [simplify]: iters left: 5 (62 enodes) 471.042 * * [simplify]: iters left: 4 (107 enodes) 471.077 * * [simplify]: iters left: 3 (177 enodes) 471.115 * * [simplify]: iters left: 2 (355 enodes) 471.248 * * [simplify]: Extracting #0: cost 1 inf + 0 471.248 * * [simplify]: Extracting #1: cost 88 inf + 0 471.250 * * [simplify]: Extracting #2: cost 238 inf + 0 471.251 * * [simplify]: Extracting #3: cost 310 inf + 2 471.253 * * [simplify]: Extracting #4: cost 299 inf + 3679 471.256 * * [simplify]: Extracting #5: cost 243 inf + 16225 471.270 * * [simplify]: Extracting #6: cost 81 inf + 123974 471.295 * * [simplify]: Extracting #7: cost 1 inf + 185486 471.323 * * [simplify]: Extracting #8: cost 0 inf + 184330 471.348 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 471.348 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 471.348 * * * * [progress]: [ 587 / 675 ] simplifiying candidate # 471.348 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 471.349 * * [simplify]: iters left: 4 (4 enodes) 471.351 * * [simplify]: iters left: 3 (14 enodes) 471.353 * * [simplify]: iters left: 2 (16 enodes) 471.356 * * [simplify]: Extracting #0: cost 1 inf + 0 471.356 * * [simplify]: Extracting #1: cost 0 inf + 1 471.356 * [simplify]: Simplified to 1 471.356 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 471.356 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 471.356 * * [simplify]: iters left: 6 (14 enodes) 471.361 * * [simplify]: iters left: 5 (59 enodes) 471.376 * * [simplify]: iters left: 4 (96 enodes) 471.395 * * [simplify]: iters left: 3 (149 enodes) 471.431 * * [simplify]: iters left: 2 (265 enodes) 471.509 * * [simplify]: Extracting #0: cost 1 inf + 0 471.509 * * [simplify]: Extracting #1: cost 50 inf + 0 471.509 * * [simplify]: Extracting #2: cost 132 inf + 0 471.510 * * [simplify]: Extracting #3: cost 195 inf + 3 471.511 * * [simplify]: Extracting #4: cost 179 inf + 4407 471.513 * * [simplify]: Extracting #5: cost 137 inf + 11514 471.521 * * [simplify]: Extracting #6: cost 57 inf + 57747 471.546 * * [simplify]: Extracting #7: cost 0 inf + 100144 471.571 * * [simplify]: Extracting #8: cost 0 inf + 98303 471.596 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 471.596 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 471.596 * * * * [progress]: [ 588 / 675 ] simplifiying candidate # 471.596 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 471.597 * * [simplify]: iters left: 5 (6 enodes) 471.599 * * [simplify]: iters left: 4 (20 enodes) 471.602 * * [simplify]: iters left: 3 (22 enodes) 471.605 * * [simplify]: Extracting #0: cost 1 inf + 0 471.605 * * [simplify]: Extracting #1: cost 4 inf + 0 471.606 * * [simplify]: Extracting #2: cost 5 inf + 1 471.606 * * [simplify]: Extracting #3: cost 7 inf + 1 471.606 * * [simplify]: Extracting #4: cost 9 inf + 1 471.606 * * [simplify]: Extracting #5: cost 8 inf + 2 471.606 * * [simplify]: Extracting #6: cost 1 inf + 650 471.606 * * [simplify]: Extracting #7: cost 0 inf + 812 471.606 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 471.606 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 471.606 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 471.606 * * [simplify]: iters left: 6 (15 enodes) 471.610 * * [simplify]: iters left: 5 (62 enodes) 471.623 * * [simplify]: iters left: 4 (107 enodes) 471.660 * * [simplify]: iters left: 3 (177 enodes) 471.717 * * [simplify]: iters left: 2 (355 enodes) 471.859 * * [simplify]: Extracting #0: cost 1 inf + 0 471.859 * * [simplify]: Extracting #1: cost 88 inf + 0 471.861 * * [simplify]: Extracting #2: cost 238 inf + 0 471.863 * * [simplify]: Extracting #3: cost 310 inf + 2 471.866 * * [simplify]: Extracting #4: cost 299 inf + 3679 471.872 * * [simplify]: Extracting #5: cost 243 inf + 16225 471.899 * * [simplify]: Extracting #6: cost 81 inf + 123974 471.928 * * [simplify]: Extracting #7: cost 1 inf + 185486 471.962 * * [simplify]: Extracting #8: cost 0 inf + 184330 471.996 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 471.996 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 471.996 * * * * [progress]: [ 589 / 675 ] simplifiying candidate # 471.996 * [simplify]: Simplifying (/ 1 (sqrt 1)) 471.996 * * [simplify]: iters left: 3 (3 enodes) 472.003 * * [simplify]: iters left: 2 (11 enodes) 472.006 * * [simplify]: iters left: 1 (13 enodes) 472.009 * * [simplify]: Extracting #0: cost 1 inf + 0 472.009 * * [simplify]: Extracting #1: cost 0 inf + 1 472.009 * [simplify]: Simplified to 1 472.010 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 472.010 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 472.010 * * [simplify]: iters left: 6 (14 enodes) 472.018 * * [simplify]: iters left: 5 (59 enodes) 472.038 * * [simplify]: iters left: 4 (96 enodes) 472.068 * * [simplify]: iters left: 3 (149 enodes) 472.121 * * [simplify]: iters left: 2 (265 enodes) 472.233 * * [simplify]: Extracting #0: cost 1 inf + 0 472.233 * * [simplify]: Extracting #1: cost 50 inf + 0 472.233 * * [simplify]: Extracting #2: cost 132 inf + 0 472.234 * * [simplify]: Extracting #3: cost 195 inf + 3 472.235 * * [simplify]: Extracting #4: cost 179 inf + 4407 472.237 * * [simplify]: Extracting #5: cost 137 inf + 11514 472.247 * * [simplify]: Extracting #6: cost 57 inf + 57747 472.259 * * [simplify]: Extracting #7: cost 0 inf + 100144 472.278 * * [simplify]: Extracting #8: cost 0 inf + 98303 472.302 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 472.302 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 472.302 * * * * [progress]: [ 590 / 675 ] simplifiying candidate # 472.303 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 472.303 * * [simplify]: iters left: 5 (6 enodes) 472.306 * * [simplify]: iters left: 4 (20 enodes) 472.312 * * [simplify]: iters left: 3 (22 enodes) 472.319 * * [simplify]: Extracting #0: cost 1 inf + 0 472.319 * * [simplify]: Extracting #1: cost 4 inf + 0 472.319 * * [simplify]: Extracting #2: cost 5 inf + 1 472.319 * * [simplify]: Extracting #3: cost 7 inf + 1 472.319 * * [simplify]: Extracting #4: cost 9 inf + 1 472.319 * * [simplify]: Extracting #5: cost 8 inf + 2 472.319 * * [simplify]: Extracting #6: cost 1 inf + 650 472.319 * * [simplify]: Extracting #7: cost 0 inf + 812 472.319 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 472.319 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 472.319 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 472.320 * * [simplify]: iters left: 6 (15 enodes) 472.324 * * [simplify]: iters left: 5 (62 enodes) 472.335 * * [simplify]: iters left: 4 (107 enodes) 472.356 * * [simplify]: iters left: 3 (177 enodes) 472.400 * * [simplify]: iters left: 2 (355 enodes) 472.545 * * [simplify]: Extracting #0: cost 1 inf + 0 472.545 * * [simplify]: Extracting #1: cost 88 inf + 0 472.547 * * [simplify]: Extracting #2: cost 238 inf + 0 472.549 * * [simplify]: Extracting #3: cost 310 inf + 2 472.552 * * [simplify]: Extracting #4: cost 299 inf + 3679 472.563 * * [simplify]: Extracting #5: cost 243 inf + 16225 472.588 * * [simplify]: Extracting #6: cost 81 inf + 123974 472.612 * * [simplify]: Extracting #7: cost 1 inf + 185486 472.661 * * [simplify]: Extracting #8: cost 0 inf + 184330 472.688 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 472.688 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 472.688 * * * * [progress]: [ 591 / 675 ] simplifiying candidate # 472.689 * [simplify]: Simplifying (/ 1 1) 472.689 * * [simplify]: iters left: 2 (2 enodes) 472.690 * * [simplify]: iters left: 1 (6 enodes) 472.692 * * [simplify]: Extracting #0: cost 1 inf + 0 472.692 * * [simplify]: Extracting #1: cost 0 inf + 1 472.692 * [simplify]: Simplified to 1 472.692 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 472.692 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))) 472.692 * * [simplify]: iters left: 6 (14 enodes) 472.700 * * [simplify]: iters left: 5 (59 enodes) 472.721 * * [simplify]: iters left: 4 (96 enodes) 472.746 * * [simplify]: iters left: 3 (149 enodes) 472.780 * * [simplify]: iters left: 2 (265 enodes) 472.865 * * [simplify]: Extracting #0: cost 1 inf + 0 472.865 * * [simplify]: Extracting #1: cost 50 inf + 0 472.866 * * [simplify]: Extracting #2: cost 132 inf + 0 472.866 * * [simplify]: Extracting #3: cost 195 inf + 3 472.867 * * [simplify]: Extracting #4: cost 179 inf + 4407 472.870 * * [simplify]: Extracting #5: cost 137 inf + 11514 472.876 * * [simplify]: Extracting #6: cost 57 inf + 57747 472.896 * * [simplify]: Extracting #7: cost 0 inf + 100144 472.912 * * [simplify]: Extracting #8: cost 0 inf + 98303 472.927 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 472.927 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 472.927 * * * * [progress]: [ 592 / 675 ] simplifiying candidate # 472.927 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 472.927 * * [simplify]: iters left: 6 (15 enodes) 472.936 * * [simplify]: iters left: 5 (62 enodes) 472.957 * * [simplify]: iters left: 4 (103 enodes) 472.990 * * [simplify]: iters left: 3 (163 enodes) 473.035 * * [simplify]: iters left: 2 (305 enodes) 473.136 * * [simplify]: Extracting #0: cost 1 inf + 0 473.136 * * [simplify]: Extracting #1: cost 54 inf + 0 473.137 * * [simplify]: Extracting #2: cost 144 inf + 0 473.138 * * [simplify]: Extracting #3: cost 215 inf + 2 473.140 * * [simplify]: Extracting #4: cost 223 inf + 221 473.143 * * [simplify]: Extracting #5: cost 202 inf + 4261 473.158 * * [simplify]: Extracting #6: cost 81 inf + 55459 473.182 * * [simplify]: Extracting #7: cost 3 inf + 110612 473.200 * * [simplify]: Extracting #8: cost 0 inf + 110322 473.228 * * [simplify]: Extracting #9: cost 0 inf + 110162 473.269 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 473.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 473.270 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 473.270 * * [simplify]: iters left: 6 (7 enodes) 473.274 * * [simplify]: iters left: 5 (25 enodes) 473.281 * * [simplify]: iters left: 4 (32 enodes) 473.291 * * [simplify]: iters left: 3 (34 enodes) 473.301 * * [simplify]: Extracting #0: cost 1 inf + 0 473.301 * * [simplify]: Extracting #1: cost 8 inf + 0 473.301 * * [simplify]: Extracting #2: cost 13 inf + 1 473.301 * * [simplify]: Extracting #3: cost 15 inf + 1 473.301 * * [simplify]: Extracting #4: cost 14 inf + 2 473.301 * * [simplify]: Extracting #5: cost 8 inf + 608 473.302 * * [simplify]: Extracting #6: cost 3 inf + 1536 473.302 * * [simplify]: Extracting #7: cost 0 inf + 2102 473.303 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 473.303 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 473.303 * * * * [progress]: [ 593 / 675 ] simplifiying candidate # 473.303 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 473.304 * * [simplify]: iters left: 6 (15 enodes) 473.312 * * [simplify]: iters left: 5 (61 enodes) 473.332 * * [simplify]: iters left: 4 (96 enodes) 473.357 * * [simplify]: iters left: 3 (145 enodes) 473.389 * * [simplify]: iters left: 2 (246 enodes) 473.451 * * [simplify]: iters left: 1 (490 enodes) 474.085 * * [simplify]: Extracting #0: cost 1 inf + 0 474.085 * * [simplify]: Extracting #1: cost 47 inf + 0 474.086 * * [simplify]: Extracting #2: cost 147 inf + 0 474.086 * * [simplify]: Extracting #3: cost 227 inf + 3 474.087 * * [simplify]: Extracting #4: cost 244 inf + 183 474.089 * * [simplify]: Extracting #5: cost 211 inf + 8659 474.100 * * [simplify]: Extracting #6: cost 72 inf + 80335 474.125 * * [simplify]: Extracting #7: cost 1 inf + 137913 474.158 * * [simplify]: Extracting #8: cost 0 inf + 138578 474.180 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) 474.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 474.181 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 474.181 * * [simplify]: iters left: 6 (8 enodes) 474.184 * * [simplify]: iters left: 5 (28 enodes) 474.193 * * [simplify]: iters left: 4 (35 enodes) 474.202 * * [simplify]: iters left: 3 (37 enodes) 474.208 * * [simplify]: Extracting #0: cost 1 inf + 0 474.208 * * [simplify]: Extracting #1: cost 8 inf + 0 474.208 * * [simplify]: Extracting #2: cost 14 inf + 1 474.208 * * [simplify]: Extracting #3: cost 17 inf + 1 474.208 * * [simplify]: Extracting #4: cost 16 inf + 2 474.208 * * [simplify]: Extracting #5: cost 12 inf + 286 474.208 * * [simplify]: Extracting #6: cost 1 inf + 2302 474.209 * * [simplify]: Extracting #7: cost 0 inf + 2504 474.209 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 474.209 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 474.209 * * * * [progress]: [ 594 / 675 ] simplifiying candidate # 474.209 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 474.209 * * [simplify]: iters left: 6 (15 enodes) 474.214 * * [simplify]: iters left: 5 (61 enodes) 474.223 * * [simplify]: iters left: 4 (96 enodes) 474.238 * * [simplify]: iters left: 3 (145 enodes) 474.286 * * [simplify]: iters left: 2 (246 enodes) 474.345 * * [simplify]: iters left: 1 (490 enodes) 474.575 * * [simplify]: Extracting #0: cost 1 inf + 0 474.575 * * [simplify]: Extracting #1: cost 47 inf + 0 474.576 * * [simplify]: Extracting #2: cost 146 inf + 0 474.577 * * [simplify]: Extracting #3: cost 226 inf + 3 474.579 * * [simplify]: Extracting #4: cost 244 inf + 183 474.582 * * [simplify]: Extracting #5: cost 212 inf + 8578 474.603 * * [simplify]: Extracting #6: cost 72 inf + 80335 474.640 * * [simplify]: Extracting #7: cost 1 inf + 137913 474.683 * * [simplify]: Extracting #8: cost 0 inf + 138578 474.722 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) 474.722 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 474.723 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 474.723 * * [simplify]: iters left: 6 (9 enodes) 474.727 * * [simplify]: iters left: 5 (31 enodes) 474.736 * * [simplify]: iters left: 4 (38 enodes) 474.747 * * [simplify]: iters left: 3 (40 enodes) 474.758 * * [simplify]: Extracting #0: cost 1 inf + 0 474.759 * * [simplify]: Extracting #1: cost 8 inf + 0 474.759 * * [simplify]: Extracting #2: cost 14 inf + 1 474.759 * * [simplify]: Extracting #3: cost 18 inf + 1 474.759 * * [simplify]: Extracting #4: cost 17 inf + 83 474.759 * * [simplify]: Extracting #5: cost 9 inf + 1011 474.760 * * [simplify]: Extracting #6: cost 2 inf + 2502 474.760 * * [simplify]: Extracting #7: cost 0 inf + 2826 474.761 * [simplify]: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) 474.761 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))))) 474.761 * * * * [progress]: [ 595 / 675 ] simplifiying candidate # 474.762 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 474.762 * * [simplify]: iters left: 6 (14 enodes) 474.770 * * [simplify]: iters left: 5 (57 enodes) 474.789 * * [simplify]: iters left: 4 (92 enodes) 474.818 * * [simplify]: iters left: 3 (137 enodes) 474.857 * * [simplify]: iters left: 2 (233 enodes) 474.922 * * [simplify]: iters left: 1 (473 enodes) 475.142 * * [simplify]: Extracting #0: cost 1 inf + 0 475.142 * * [simplify]: Extracting #1: cost 53 inf + 0 475.143 * * [simplify]: Extracting #2: cost 159 inf + 0 475.145 * * [simplify]: Extracting #3: cost 227 inf + 3 475.147 * * [simplify]: Extracting #4: cost 242 inf + 225 475.150 * * [simplify]: Extracting #5: cost 226 inf + 3286 475.156 * * [simplify]: Extracting #6: cost 150 inf + 13770 475.177 * * [simplify]: Extracting #7: cost 65 inf + 82987 475.218 * * [simplify]: Extracting #8: cost 0 inf + 143924 475.245 * * [simplify]: Extracting #9: cost 0 inf + 139699 475.280 * * [simplify]: Extracting #10: cost 0 inf + 139377 475.322 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 475.323 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 475.323 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 475.323 * * [simplify]: iters left: 6 (7 enodes) 475.327 * * [simplify]: iters left: 5 (25 enodes) 475.335 * * [simplify]: iters left: 4 (32 enodes) 475.345 * * [simplify]: iters left: 3 (34 enodes) 475.354 * * [simplify]: Extracting #0: cost 1 inf + 0 475.355 * * [simplify]: Extracting #1: cost 8 inf + 0 475.355 * * [simplify]: Extracting #2: cost 13 inf + 1 475.355 * * [simplify]: Extracting #3: cost 15 inf + 1 475.355 * * [simplify]: Extracting #4: cost 14 inf + 2 475.355 * * [simplify]: Extracting #5: cost 8 inf + 528 475.355 * * [simplify]: Extracting #6: cost 3 inf + 1296 475.356 * * [simplify]: Extracting #7: cost 0 inf + 1782 475.357 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 475.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 475.357 * * * * [progress]: [ 596 / 675 ] simplifiying candidate # 475.357 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt 1))) 475.357 * * [simplify]: iters left: 6 (13 enodes) 475.369 * * [simplify]: iters left: 5 (54 enodes) 475.386 * * [simplify]: iters left: 4 (87 enodes) 475.414 * * [simplify]: iters left: 3 (134 enodes) 475.444 * * [simplify]: iters left: 2 (227 enodes) 475.515 * * [simplify]: iters left: 1 (459 enodes) 475.765 * * [simplify]: Extracting #0: cost 1 inf + 0 475.766 * * [simplify]: Extracting #1: cost 56 inf + 0 475.767 * * [simplify]: Extracting #2: cost 164 inf + 2 475.768 * * [simplify]: Extracting #3: cost 226 inf + 176 475.771 * * [simplify]: Extracting #4: cost 213 inf + 1345 475.779 * * [simplify]: Extracting #5: cost 108 inf + 25131 475.804 * * [simplify]: Extracting #6: cost 17 inf + 88305 475.826 * * [simplify]: Extracting #7: cost 0 inf + 99863 475.853 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 475.853 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 475.853 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 475.854 * * [simplify]: iters left: 6 (6 enodes) 475.857 * * [simplify]: iters left: 5 (22 enodes) 475.864 * * [simplify]: iters left: 4 (24 enodes) 475.871 * * [simplify]: iters left: 3 (25 enodes) 475.878 * * [simplify]: Extracting #0: cost 1 inf + 0 475.878 * * [simplify]: Extracting #1: cost 6 inf + 0 475.878 * * [simplify]: Extracting #2: cost 9 inf + 1 475.878 * * [simplify]: Extracting #3: cost 0 inf + 654 475.879 * [simplify]: Simplified to (/ 1 (sqrt k)) 475.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) 475.879 * * * * [progress]: [ 597 / 675 ] simplifiying candidate # 475.879 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 475.879 * * [simplify]: iters left: 6 (14 enodes) 475.887 * * [simplify]: iters left: 5 (57 enodes) 475.906 * * [simplify]: iters left: 4 (92 enodes) 475.935 * * [simplify]: iters left: 3 (137 enodes) 475.983 * * [simplify]: iters left: 2 (233 enodes) 476.068 * * [simplify]: iters left: 1 (473 enodes) 476.299 * * [simplify]: Extracting #0: cost 1 inf + 0 476.299 * * [simplify]: Extracting #1: cost 53 inf + 0 476.300 * * [simplify]: Extracting #2: cost 159 inf + 0 476.301 * * [simplify]: Extracting #3: cost 227 inf + 3 476.302 * * [simplify]: Extracting #4: cost 242 inf + 225 476.304 * * [simplify]: Extracting #5: cost 226 inf + 3286 476.311 * * [simplify]: Extracting #6: cost 150 inf + 13770 476.331 * * [simplify]: Extracting #7: cost 65 inf + 82987 476.372 * * [simplify]: Extracting #8: cost 0 inf + 143924 476.412 * * [simplify]: Extracting #9: cost 0 inf + 139699 476.436 * * [simplify]: Extracting #10: cost 0 inf + 139377 476.476 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 476.476 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 476.476 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 476.476 * * [simplify]: iters left: 6 (7 enodes) 476.480 * * [simplify]: iters left: 5 (25 enodes) 476.488 * * [simplify]: iters left: 4 (32 enodes) 476.497 * * [simplify]: iters left: 3 (34 enodes) 476.506 * * [simplify]: Extracting #0: cost 1 inf + 0 476.506 * * [simplify]: Extracting #1: cost 8 inf + 0 476.506 * * [simplify]: Extracting #2: cost 13 inf + 1 476.507 * * [simplify]: Extracting #3: cost 15 inf + 1 476.507 * * [simplify]: Extracting #4: cost 14 inf + 2 476.507 * * [simplify]: Extracting #5: cost 8 inf + 528 476.507 * * [simplify]: Extracting #6: cost 3 inf + 1296 476.508 * * [simplify]: Extracting #7: cost 0 inf + 1782 476.508 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 476.509 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 476.509 * * * * [progress]: [ 598 / 675 ] simplifiying candidate # 476.509 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 476.509 * * [simplify]: iters left: 6 (12 enodes) 476.518 * * [simplify]: iters left: 5 (51 enodes) 476.535 * * [simplify]: iters left: 4 (84 enodes) 476.563 * * [simplify]: iters left: 3 (131 enodes) 476.606 * * [simplify]: iters left: 2 (224 enodes) 476.693 * * [simplify]: iters left: 1 (449 enodes) 476.937 * * [simplify]: Extracting #0: cost 1 inf + 0 476.937 * * [simplify]: Extracting #1: cost 62 inf + 0 476.937 * * [simplify]: Extracting #2: cost 171 inf + 2 476.938 * * [simplify]: Extracting #3: cost 231 inf + 259 476.940 * * [simplify]: Extracting #4: cost 218 inf + 1350 476.945 * * [simplify]: Extracting #5: cost 109 inf + 34987 476.958 * * [simplify]: Extracting #6: cost 18 inf + 92387 476.994 * * [simplify]: Extracting #7: cost 0 inf + 108295 477.025 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 477.025 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 477.026 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 477.026 * * [simplify]: iters left: 6 (6 enodes) 477.029 * * [simplify]: iters left: 5 (22 enodes) 477.036 * * [simplify]: iters left: 4 (24 enodes) 477.043 * * [simplify]: iters left: 3 (25 enodes) 477.050 * * [simplify]: Extracting #0: cost 1 inf + 0 477.050 * * [simplify]: Extracting #1: cost 6 inf + 0 477.050 * * [simplify]: Extracting #2: cost 9 inf + 1 477.050 * * [simplify]: Extracting #3: cost 0 inf + 654 477.051 * [simplify]: Simplified to (/ 1 (sqrt k)) 477.051 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 477.051 * * * * [progress]: [ 599 / 675 ] simplifiying candidate # 477.051 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 477.051 * * [simplify]: iters left: 6 (14 enodes) 477.059 * * [simplify]: iters left: 5 (57 enodes) 477.073 * * [simplify]: iters left: 4 (92 enodes) 477.088 * * [simplify]: iters left: 3 (137 enodes) 477.121 * * [simplify]: iters left: 2 (233 enodes) 477.185 * * [simplify]: iters left: 1 (473 enodes) 477.365 * * [simplify]: Extracting #0: cost 1 inf + 0 477.365 * * [simplify]: Extracting #1: cost 53 inf + 0 477.365 * * [simplify]: Extracting #2: cost 159 inf + 0 477.366 * * [simplify]: Extracting #3: cost 227 inf + 3 477.367 * * [simplify]: Extracting #4: cost 242 inf + 225 477.368 * * [simplify]: Extracting #5: cost 226 inf + 3286 477.371 * * [simplify]: Extracting #6: cost 150 inf + 13770 477.382 * * [simplify]: Extracting #7: cost 65 inf + 82987 477.403 * * [simplify]: Extracting #8: cost 0 inf + 143924 477.423 * * [simplify]: Extracting #9: cost 0 inf + 139699 477.450 * * [simplify]: Extracting #10: cost 0 inf + 139377 477.492 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) 477.492 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 477.492 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 477.492 * * [simplify]: iters left: 6 (7 enodes) 477.496 * * [simplify]: iters left: 5 (25 enodes) 477.504 * * [simplify]: iters left: 4 (32 enodes) 477.512 * * [simplify]: iters left: 3 (34 enodes) 477.517 * * [simplify]: Extracting #0: cost 1 inf + 0 477.517 * * [simplify]: Extracting #1: cost 8 inf + 0 477.517 * * [simplify]: Extracting #2: cost 13 inf + 1 477.517 * * [simplify]: Extracting #3: cost 15 inf + 1 477.517 * * [simplify]: Extracting #4: cost 14 inf + 2 477.517 * * [simplify]: Extracting #5: cost 8 inf + 528 477.517 * * [simplify]: Extracting #6: cost 3 inf + 1296 477.518 * * [simplify]: Extracting #7: cost 0 inf + 1782 477.518 * [simplify]: Simplified to (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 477.518 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 477.518 * * * * [progress]: [ 600 / 675 ] simplifiying candidate # 477.518 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 477.518 * * [simplify]: iters left: 6 (11 enodes) 477.521 * * [simplify]: iters left: 5 (46 enodes) 477.529 * * [simplify]: iters left: 4 (77 enodes) 477.542 * * [simplify]: iters left: 3 (131 enodes) 477.592 * * [simplify]: iters left: 2 (250 enodes) 477.643 * * [simplify]: Extracting #0: cost 1 inf + 0 477.643 * * [simplify]: Extracting #1: cost 31 inf + 0 477.643 * * [simplify]: Extracting #2: cost 106 inf + 2 477.644 * * [simplify]: Extracting #3: cost 143 inf + 217 477.644 * * [simplify]: Extracting #4: cost 138 inf + 805 477.645 * * [simplify]: Extracting #5: cost 102 inf + 4949 477.654 * * [simplify]: Extracting #6: cost 46 inf + 25766 477.667 * * [simplify]: Extracting #7: cost 4 inf + 54472 477.682 * * [simplify]: Extracting #8: cost 0 inf + 57219 477.698 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 477.698 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 477.698 * [simplify]: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 477.698 * * [simplify]: iters left: 6 (6 enodes) 477.702 * * [simplify]: iters left: 5 (22 enodes) 477.709 * * [simplify]: iters left: 4 (24 enodes) 477.716 * * [simplify]: iters left: 3 (25 enodes) 477.721 * * [simplify]: Extracting #0: cost 1 inf + 0 477.721 * * [simplify]: Extracting #1: cost 6 inf + 0 477.721 * * [simplify]: Extracting #2: cost 9 inf + 1 477.721 * * [simplify]: Extracting #3: cost 0 inf + 654 477.721 * [simplify]: Simplified to (/ 1 (sqrt k)) 477.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 477.721 * * * * [progress]: [ 601 / 675 ] simplifiying candidate # 477.721 * * * * [progress]: [ 602 / 675 ] simplifiying candidate # 477.722 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 477.722 * * [simplify]: iters left: 4 (5 enodes) 477.723 * * [simplify]: iters left: 3 (17 enodes) 477.726 * * [simplify]: iters left: 2 (19 enodes) 477.729 * * [simplify]: Extracting #0: cost 1 inf + 0 477.729 * * [simplify]: Extracting #1: cost 4 inf + 0 477.729 * * [simplify]: Extracting #2: cost 5 inf + 1 477.729 * * [simplify]: Extracting #3: cost 7 inf + 1 477.729 * * [simplify]: Extracting #4: cost 0 inf + 490 477.729 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 477.729 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) 477.729 * * * * [progress]: [ 603 / 675 ] simplifiying candidate # 477.729 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 477.729 * * [simplify]: iters left: 6 (14 enodes) 477.733 * * [simplify]: iters left: 5 (59 enodes) 477.743 * * [simplify]: iters left: 4 (100 enodes) 477.765 * * [simplify]: iters left: 3 (151 enodes) 477.798 * * [simplify]: iters left: 2 (276 enodes) 477.918 * * [simplify]: Extracting #0: cost 1 inf + 0 477.918 * * [simplify]: Extracting #1: cost 42 inf + 0 477.919 * * [simplify]: Extracting #2: cost 117 inf + 0 477.920 * * [simplify]: Extracting #3: cost 172 inf + 125 477.921 * * [simplify]: Extracting #4: cost 177 inf + 383 477.924 * * [simplify]: Extracting #5: cost 142 inf + 6796 477.930 * * [simplify]: Extracting #6: cost 96 inf + 18067 477.948 * * [simplify]: Extracting #7: cost 16 inf + 76438 477.961 * * [simplify]: Extracting #8: cost 0 inf + 88893 477.973 * * [simplify]: Extracting #9: cost 0 inf + 87601 477.991 * * [simplify]: Extracting #10: cost 0 inf + 87470 478.018 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 478.018 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 478.018 * * * * [progress]: [ 604 / 675 ] simplifiying candidate # 478.018 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 478.018 * * [simplify]: iters left: 6 (16 enodes) 478.025 * * [simplify]: iters left: 5 (67 enodes) 478.037 * * [simplify]: iters left: 4 (117 enodes) 478.060 * * [simplify]: iters left: 3 (214 enodes) 478.152 * * [simplify]: Extracting #0: cost 1 inf + 0 478.153 * * [simplify]: Extracting #1: cost 54 inf + 0 478.153 * * [simplify]: Extracting #2: cost 126 inf + 0 478.154 * * [simplify]: Extracting #3: cost 168 inf + 0 478.155 * * [simplify]: Extracting #4: cost 163 inf + 802 478.161 * * [simplify]: Extracting #5: cost 92 inf + 25632 478.181 * * [simplify]: Extracting #6: cost 7 inf + 75525 478.204 * * [simplify]: Extracting #7: cost 0 inf + 80391 478.228 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 478.229 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k))))) 478.229 * * * * [progress]: [ 605 / 675 ] simplifiying candidate # 478.229 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 478.229 * * [simplify]: iters left: 6 (17 enodes) 478.239 * * [simplify]: iters left: 5 (69 enodes) 478.261 * * [simplify]: iters left: 4 (114 enodes) 478.303 * * [simplify]: iters left: 3 (187 enodes) 478.344 * * [simplify]: iters left: 2 (370 enodes) 478.507 * * [simplify]: Extracting #0: cost 1 inf + 0 478.507 * * [simplify]: Extracting #1: cost 89 inf + 0 478.511 * * [simplify]: Extracting #2: cost 243 inf + 0 478.513 * * [simplify]: Extracting #3: cost 317 inf + 2 478.516 * * [simplify]: Extracting #4: cost 302 inf + 2895 478.524 * * [simplify]: Extracting #5: cost 223 inf + 30616 478.549 * * [simplify]: Extracting #6: cost 37 inf + 170826 478.591 * * [simplify]: Extracting #7: cost 0 inf + 200300 478.648 * * [simplify]: Extracting #8: cost 0 inf + 198607 478.678 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) 478.678 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 478.678 * * * * [progress]: [ 606 / 675 ] simplifiying candidate # 478.679 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 478.679 * * [simplify]: iters left: 6 (18 enodes) 478.685 * * [simplify]: iters left: 5 (72 enodes) 478.708 * * [simplify]: iters left: 4 (113 enodes) 478.746 * * [simplify]: iters left: 3 (187 enodes) 478.819 * * [simplify]: iters left: 2 (386 enodes) 478.991 * * [simplify]: Extracting #0: cost 1 inf + 0 478.991 * * [simplify]: Extracting #1: cost 86 inf + 0 478.992 * * [simplify]: Extracting #2: cost 235 inf + 0 478.993 * * [simplify]: Extracting #3: cost 314 inf + 2 478.995 * * [simplify]: Extracting #4: cost 293 inf + 3181 479.000 * * [simplify]: Extracting #5: cost 200 inf + 46268 479.036 * * [simplify]: Extracting #6: cost 46 inf + 160543 479.084 * * [simplify]: Extracting #7: cost 0 inf + 198880 479.131 * * [simplify]: Extracting #8: cost 0 inf + 197138 479.184 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) 479.184 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) 479.184 * * * * [progress]: [ 607 / 675 ] simplifiying candidate # 479.185 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 479.185 * * [simplify]: iters left: 6 (15 enodes) 479.194 * * [simplify]: iters left: 5 (62 enodes) 479.215 * * [simplify]: iters left: 4 (107 enodes) 479.239 * * [simplify]: iters left: 3 (177 enodes) 479.286 * * [simplify]: iters left: 2 (355 enodes) 479.399 * * [simplify]: Extracting #0: cost 1 inf + 0 479.399 * * [simplify]: Extracting #1: cost 88 inf + 0 479.400 * * [simplify]: Extracting #2: cost 238 inf + 0 479.401 * * [simplify]: Extracting #3: cost 310 inf + 2 479.403 * * [simplify]: Extracting #4: cost 299 inf + 3679 479.406 * * [simplify]: Extracting #5: cost 243 inf + 16225 479.428 * * [simplify]: Extracting #6: cost 81 inf + 123974 479.453 * * [simplify]: Extracting #7: cost 1 inf + 185486 479.484 * * [simplify]: Extracting #8: cost 0 inf + 184330 479.528 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 479.528 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 479.528 * * * * [progress]: [ 608 / 675 ] simplifiying candidate # 479.529 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt 1))) 479.529 * * [simplify]: iters left: 6 (16 enodes) 479.539 * * [simplify]: iters left: 5 (65 enodes) 479.560 * * [simplify]: iters left: 4 (105 enodes) 479.579 * * [simplify]: iters left: 3 (174 enodes) 479.612 * * [simplify]: iters left: 2 (349 enodes) 479.777 * * [simplify]: Extracting #0: cost 1 inf + 0 479.778 * * [simplify]: Extracting #1: cost 68 inf + 0 479.779 * * [simplify]: Extracting #2: cost 168 inf + 1 479.780 * * [simplify]: Extracting #3: cost 216 inf + 3 479.783 * * [simplify]: Extracting #4: cost 201 inf + 3611 479.791 * * [simplify]: Extracting #5: cost 132 inf + 25935 479.819 * * [simplify]: Extracting #6: cost 23 inf + 101699 479.862 * * [simplify]: Extracting #7: cost 0 inf + 119931 479.894 * * [simplify]: Extracting #8: cost 0 inf + 118507 479.915 * * [simplify]: Extracting #9: cost 0 inf + 118466 479.955 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 479.955 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 479.955 * * * * [progress]: [ 609 / 675 ] simplifiying candidate # 479.956 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 479.956 * * [simplify]: iters left: 6 (15 enodes) 479.964 * * [simplify]: iters left: 5 (62 enodes) 479.985 * * [simplify]: iters left: 4 (107 enodes) 480.011 * * [simplify]: iters left: 3 (177 enodes) 480.054 * * [simplify]: iters left: 2 (355 enodes) 480.175 * * [simplify]: Extracting #0: cost 1 inf + 0 480.175 * * [simplify]: Extracting #1: cost 88 inf + 0 480.176 * * [simplify]: Extracting #2: cost 238 inf + 0 480.179 * * [simplify]: Extracting #3: cost 310 inf + 2 480.182 * * [simplify]: Extracting #4: cost 299 inf + 3679 480.194 * * [simplify]: Extracting #5: cost 243 inf + 16225 480.211 * * [simplify]: Extracting #6: cost 81 inf + 123974 480.236 * * [simplify]: Extracting #7: cost 1 inf + 185486 480.276 * * [simplify]: Extracting #8: cost 0 inf + 184330 480.310 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 480.310 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 480.311 * * * * [progress]: [ 610 / 675 ] simplifiying candidate # 480.311 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt 1)) 480.311 * * [simplify]: iters left: 6 (15 enodes) 480.316 * * [simplify]: iters left: 5 (62 enodes) 480.327 * * [simplify]: iters left: 4 (102 enodes) 480.346 * * [simplify]: iters left: 3 (167 enodes) 480.380 * * [simplify]: iters left: 2 (337 enodes) 480.560 * * [simplify]: Extracting #0: cost 1 inf + 0 480.560 * * [simplify]: Extracting #1: cost 67 inf + 0 480.560 * * [simplify]: Extracting #2: cost 156 inf + 1 480.561 * * [simplify]: Extracting #3: cost 204 inf + 3 480.563 * * [simplify]: Extracting #4: cost 188 inf + 5245 480.570 * * [simplify]: Extracting #5: cost 75 inf + 61106 480.601 * * [simplify]: Extracting #6: cost 7 inf + 107207 480.624 * * [simplify]: Extracting #7: cost 0 inf + 110500 480.647 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 480.647 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 480.647 * * * * [progress]: [ 611 / 675 ] simplifiying candidate # 480.648 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 480.648 * * [simplify]: iters left: 6 (15 enodes) 480.656 * * [simplify]: iters left: 5 (62 enodes) 480.668 * * [simplify]: iters left: 4 (107 enodes) 480.686 * * [simplify]: iters left: 3 (177 enodes) 480.745 * * [simplify]: iters left: 2 (355 enodes) 480.908 * * [simplify]: Extracting #0: cost 1 inf + 0 480.908 * * [simplify]: Extracting #1: cost 88 inf + 0 480.909 * * [simplify]: Extracting #2: cost 238 inf + 0 480.910 * * [simplify]: Extracting #3: cost 310 inf + 2 480.912 * * [simplify]: Extracting #4: cost 299 inf + 3679 480.916 * * [simplify]: Extracting #5: cost 243 inf + 16225 480.943 * * [simplify]: Extracting #6: cost 81 inf + 123974 480.967 * * [simplify]: Extracting #7: cost 1 inf + 185486 481.012 * * [simplify]: Extracting #8: cost 0 inf + 184330 481.064 * [simplify]: Simplified to (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 481.064 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 481.064 * * * * [progress]: [ 612 / 675 ] simplifiying candidate # 481.065 * [simplify]: Simplifying (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 1) 481.065 * * [simplify]: iters left: 6 (14 enodes) 481.070 * * [simplify]: iters left: 5 (57 enodes) 481.079 * * [simplify]: iters left: 4 (98 enodes) 481.096 * * [simplify]: iters left: 3 (167 enodes) 481.146 * * [simplify]: iters left: 2 (355 enodes) 481.317 * * [simplify]: Extracting #0: cost 1 inf + 0 481.317 * * [simplify]: Extracting #1: cost 65 inf + 0 481.318 * * [simplify]: Extracting #2: cost 193 inf + 1 481.319 * * [simplify]: Extracting #3: cost 241 inf + 3 481.321 * * [simplify]: Extracting #4: cost 221 inf + 4775 481.325 * * [simplify]: Extracting #5: cost 164 inf + 22558 481.337 * * [simplify]: Extracting #6: cost 50 inf + 95211 481.367 * * [simplify]: Extracting #7: cost 0 inf + 133937 481.400 * * [simplify]: Extracting #8: cost 0 inf + 133423 481.420 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 481.421 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 481.421 * * * * [progress]: [ 613 / 675 ] simplifiying candidate # 481.421 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 481.421 * * [simplify]: iters left: 6 (15 enodes) 481.426 * * [simplify]: iters left: 5 (60 enodes) 481.436 * * [simplify]: iters left: 4 (91 enodes) 481.451 * * [simplify]: iters left: 3 (137 enodes) 481.479 * * [simplify]: iters left: 2 (249 enodes) 481.565 * * [simplify]: iters left: 1 (490 enodes) 481.790 * * [simplify]: Extracting #0: cost 1 inf + 0 481.790 * * [simplify]: Extracting #1: cost 4 inf + 0 481.790 * * [simplify]: Extracting #2: cost 8 inf + 0 481.791 * * [simplify]: Extracting #3: cost 61 inf + 0 481.791 * * [simplify]: Extracting #4: cost 172 inf + 42 481.792 * * [simplify]: Extracting #5: cost 244 inf + 167 481.794 * * [simplify]: Extracting #6: cost 236 inf + 5259 481.798 * * [simplify]: Extracting #7: cost 163 inf + 22992 481.813 * * [simplify]: Extracting #8: cost 40 inf + 107189 481.839 * * [simplify]: Extracting #9: cost 0 inf + 139255 481.869 * * [simplify]: Extracting #10: cost 0 inf + 137454 481.914 * * [simplify]: Extracting #11: cost 0 inf + 137122 481.964 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 481.964 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))))) 481.964 * * * * [progress]: [ 614 / 675 ] simplifiying candidate # 481.964 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 481.964 * * [simplify]: iters left: 6 (15 enodes) 481.968 * * [simplify]: iters left: 5 (60 enodes) 481.979 * * [simplify]: iters left: 4 (91 enodes) 481.994 * * [simplify]: iters left: 3 (137 enodes) 482.037 * * [simplify]: iters left: 2 (249 enodes) 482.092 * * [simplify]: iters left: 1 (490 enodes) 482.335 * * [simplify]: Extracting #0: cost 1 inf + 0 482.335 * * [simplify]: Extracting #1: cost 4 inf + 0 482.335 * * [simplify]: Extracting #2: cost 8 inf + 0 482.335 * * [simplify]: Extracting #3: cost 61 inf + 0 482.336 * * [simplify]: Extracting #4: cost 172 inf + 42 482.337 * * [simplify]: Extracting #5: cost 244 inf + 167 482.338 * * [simplify]: Extracting #6: cost 236 inf + 5139 482.342 * * [simplify]: Extracting #7: cost 163 inf + 22832 482.360 * * [simplify]: Extracting #8: cost 40 inf + 107029 482.411 * * [simplify]: Extracting #9: cost 0 inf + 139095 482.460 * * [simplify]: Extracting #10: cost 0 inf + 137294 482.488 * * [simplify]: Extracting #11: cost 0 inf + 136962 482.520 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 482.520 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt (sqrt k))))))) 482.520 * * * * [progress]: [ 615 / 675 ] simplifiying candidate # 482.521 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) 482.521 * * [simplify]: iters left: 6 (13 enodes) 482.525 * * [simplify]: iters left: 5 (53 enodes) 482.534 * * [simplify]: iters left: 4 (87 enodes) 482.559 * * [simplify]: iters left: 3 (143 enodes) 482.611 * * [simplify]: iters left: 2 (287 enodes) 482.711 * * [simplify]: Extracting #0: cost 1 inf + 0 482.711 * * [simplify]: Extracting #1: cost 56 inf + 0 482.712 * * [simplify]: Extracting #2: cost 150 inf + 0 482.712 * * [simplify]: Extracting #3: cost 210 inf + 2 482.713 * * [simplify]: Extracting #4: cost 194 inf + 4543 482.717 * * [simplify]: Extracting #5: cost 154 inf + 10761 482.731 * * [simplify]: Extracting #6: cost 62 inf + 64662 482.754 * * [simplify]: Extracting #7: cost 2 inf + 112081 482.768 * * [simplify]: Extracting #8: cost 0 inf + 112463 482.786 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) 482.786 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))))) 482.786 * * * * [progress]: [ 616 / 675 ] simplifiying candidate # 482.787 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) 482.787 * * [simplify]: iters left: 6 (14 enodes) 482.791 * * [simplify]: iters left: 5 (56 enodes) 482.800 * * [simplify]: iters left: 4 (90 enodes) 482.815 * * [simplify]: iters left: 3 (146 enodes) 482.844 * * [simplify]: iters left: 2 (290 enodes) 482.977 * * [simplify]: Extracting #0: cost 1 inf + 0 482.977 * * [simplify]: Extracting #1: cost 56 inf + 0 482.978 * * [simplify]: Extracting #2: cost 151 inf + 0 482.979 * * [simplify]: Extracting #3: cost 210 inf + 2 482.981 * * [simplify]: Extracting #4: cost 189 inf + 5905 482.988 * * [simplify]: Extracting #5: cost 118 inf + 30087 483.002 * * [simplify]: Extracting #6: cost 20 inf + 98137 483.018 * * [simplify]: Extracting #7: cost 0 inf + 113452 483.047 * * [simplify]: Extracting #8: cost 0 inf + 113001 483.076 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) 483.076 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))))) 483.076 * * * * [progress]: [ 617 / 675 ] simplifiying candidate # 483.077 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) 483.077 * * [simplify]: iters left: 6 (15 enodes) 483.085 * * [simplify]: iters left: 5 (59 enodes) 483.104 * * [simplify]: iters left: 4 (93 enodes) 483.136 * * [simplify]: iters left: 3 (149 enodes) 483.191 * * [simplify]: iters left: 2 (293 enodes) 483.277 * * [simplify]: Extracting #0: cost 1 inf + 0 483.278 * * [simplify]: Extracting #1: cost 56 inf + 0 483.278 * * [simplify]: Extracting #2: cost 150 inf + 0 483.279 * * [simplify]: Extracting #3: cost 210 inf + 2 483.280 * * [simplify]: Extracting #4: cost 194 inf + 4534 483.287 * * [simplify]: Extracting #5: cost 114 inf + 36942 483.314 * * [simplify]: Extracting #6: cost 18 inf + 102108 483.349 * * [simplify]: Extracting #7: cost 1 inf + 113039 483.384 * * [simplify]: Extracting #8: cost 0 inf + 112434 483.402 * * [simplify]: Extracting #9: cost 0 inf + 112355 483.433 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) 483.433 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))))) 483.433 * * * * [progress]: [ 618 / 675 ] simplifiying candidate # 483.433 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 483.434 * * [simplify]: iters left: 6 (13 enodes) 483.441 * * [simplify]: iters left: 5 (53 enodes) 483.459 * * [simplify]: iters left: 4 (87 enodes) 483.484 * * [simplify]: iters left: 3 (143 enodes) 483.520 * * [simplify]: iters left: 2 (287 enodes) 483.621 * * [simplify]: Extracting #0: cost 1 inf + 0 483.622 * * [simplify]: Extracting #1: cost 56 inf + 0 483.622 * * [simplify]: Extracting #2: cost 150 inf + 0 483.624 * * [simplify]: Extracting #3: cost 210 inf + 2 483.626 * * [simplify]: Extracting #4: cost 194 inf + 4383 483.630 * * [simplify]: Extracting #5: cost 154 inf + 10441 483.637 * * [simplify]: Extracting #6: cost 62 inf + 62862 483.650 * * [simplify]: Extracting #7: cost 2 inf + 108801 483.671 * * [simplify]: Extracting #8: cost 0 inf + 109103 483.688 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 483.688 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))))) 483.689 * * * * [progress]: [ 619 / 675 ] simplifiying candidate # 483.689 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 483.689 * * [simplify]: iters left: 6 (12 enodes) 483.693 * * [simplify]: iters left: 5 (50 enodes) 483.701 * * [simplify]: iters left: 4 (83 enodes) 483.723 * * [simplify]: iters left: 3 (133 enodes) 483.772 * * [simplify]: iters left: 2 (263 enodes) 483.848 * * [simplify]: Extracting #0: cost 1 inf + 0 483.848 * * [simplify]: Extracting #1: cost 42 inf + 0 483.848 * * [simplify]: Extracting #2: cost 119 inf + 0 483.849 * * [simplify]: Extracting #3: cost 168 inf + 125 483.850 * * [simplify]: Extracting #4: cost 168 inf + 1005 483.853 * * [simplify]: Extracting #5: cost 128 inf + 9241 483.863 * * [simplify]: Extracting #6: cost 50 inf + 45033 483.884 * * [simplify]: Extracting #7: cost 0 inf + 81336 483.906 * * [simplify]: Extracting #8: cost 0 inf + 81043 483.920 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 483.921 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt 1))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 483.921 * * * * [progress]: [ 620 / 675 ] simplifiying candidate # 483.921 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 483.921 * * [simplify]: iters left: 6 (13 enodes) 483.925 * * [simplify]: iters left: 5 (53 enodes) 483.937 * * [simplify]: iters left: 4 (87 enodes) 483.952 * * [simplify]: iters left: 3 (143 enodes) 483.994 * * [simplify]: iters left: 2 (287 enodes) 484.063 * * [simplify]: Extracting #0: cost 1 inf + 0 484.063 * * [simplify]: Extracting #1: cost 56 inf + 0 484.064 * * [simplify]: Extracting #2: cost 150 inf + 0 484.064 * * [simplify]: Extracting #3: cost 210 inf + 2 484.065 * * [simplify]: Extracting #4: cost 194 inf + 4383 484.069 * * [simplify]: Extracting #5: cost 154 inf + 10441 484.083 * * [simplify]: Extracting #6: cost 62 inf + 62862 484.098 * * [simplify]: Extracting #7: cost 2 inf + 108801 484.116 * * [simplify]: Extracting #8: cost 0 inf + 109103 484.130 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 484.130 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))))) 484.130 * * * * [progress]: [ 621 / 675 ] simplifiying candidate # 484.130 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 484.130 * * [simplify]: iters left: 6 (12 enodes) 484.134 * * [simplify]: iters left: 5 (50 enodes) 484.147 * * [simplify]: iters left: 4 (83 enodes) 484.165 * * [simplify]: iters left: 3 (133 enodes) 484.191 * * [simplify]: iters left: 2 (263 enodes) 484.306 * * [simplify]: Extracting #0: cost 1 inf + 0 484.306 * * [simplify]: Extracting #1: cost 42 inf + 0 484.307 * * [simplify]: Extracting #2: cost 119 inf + 0 484.308 * * [simplify]: Extracting #3: cost 168 inf + 125 484.309 * * [simplify]: Extracting #4: cost 168 inf + 1005 484.312 * * [simplify]: Extracting #5: cost 128 inf + 9241 484.323 * * [simplify]: Extracting #6: cost 50 inf + 45033 484.343 * * [simplify]: Extracting #7: cost 0 inf + 81336 484.354 * * [simplify]: Extracting #8: cost 0 inf + 81043 484.364 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 484.365 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 484.365 * * * * [progress]: [ 622 / 675 ] simplifiying candidate # 484.365 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 484.365 * * [simplify]: iters left: 6 (13 enodes) 484.369 * * [simplify]: iters left: 5 (53 enodes) 484.378 * * [simplify]: iters left: 4 (87 enodes) 484.393 * * [simplify]: iters left: 3 (143 enodes) 484.431 * * [simplify]: iters left: 2 (287 enodes) 484.557 * * [simplify]: Extracting #0: cost 1 inf + 0 484.557 * * [simplify]: Extracting #1: cost 56 inf + 0 484.558 * * [simplify]: Extracting #2: cost 150 inf + 0 484.558 * * [simplify]: Extracting #3: cost 210 inf + 2 484.559 * * [simplify]: Extracting #4: cost 194 inf + 4383 484.561 * * [simplify]: Extracting #5: cost 154 inf + 10441 484.568 * * [simplify]: Extracting #6: cost 62 inf + 62862 484.585 * * [simplify]: Extracting #7: cost 2 inf + 108801 484.610 * * [simplify]: Extracting #8: cost 0 inf + 109103 484.624 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 484.624 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))))) 484.624 * * * * [progress]: [ 623 / 675 ] simplifiying candidate # 484.625 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 484.625 * * [simplify]: iters left: 6 (12 enodes) 484.628 * * [simplify]: iters left: 5 (50 enodes) 484.639 * * [simplify]: iters left: 4 (83 enodes) 484.670 * * [simplify]: iters left: 3 (133 enodes) 484.698 * * [simplify]: iters left: 2 (263 enodes) 484.787 * * [simplify]: Extracting #0: cost 1 inf + 0 484.787 * * [simplify]: Extracting #1: cost 42 inf + 0 484.788 * * [simplify]: Extracting #2: cost 119 inf + 0 484.788 * * [simplify]: Extracting #3: cost 168 inf + 125 484.789 * * [simplify]: Extracting #4: cost 168 inf + 1005 484.790 * * [simplify]: Extracting #5: cost 128 inf + 9241 484.796 * * [simplify]: Extracting #6: cost 50 inf + 45033 484.806 * * [simplify]: Extracting #7: cost 0 inf + 81336 484.827 * * [simplify]: Extracting #8: cost 0 inf + 81043 484.849 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 484.849 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 484.849 * * * * [progress]: [ 624 / 675 ] simplifiying candidate # 484.849 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 484.850 * * [simplify]: iters left: 6 (16 enodes) 484.858 * * [simplify]: iters left: 5 (65 enodes) 484.883 * * [simplify]: iters left: 4 (99 enodes) 484.914 * * [simplify]: iters left: 3 (143 enodes) 484.964 * * [simplify]: iters left: 2 (239 enodes) 485.048 * * [simplify]: iters left: 1 (405 enodes) 485.211 * * [simplify]: Extracting #0: cost 1 inf + 0 485.211 * * [simplify]: Extracting #1: cost 8 inf + 0 485.211 * * [simplify]: Extracting #2: cost 16 inf + 0 485.211 * * [simplify]: Extracting #3: cost 44 inf + 0 485.212 * * [simplify]: Extracting #4: cost 124 inf + 43 485.213 * * [simplify]: Extracting #5: cost 170 inf + 340 485.217 * * [simplify]: Extracting #6: cost 115 inf + 10106 485.230 * * [simplify]: Extracting #7: cost 31 inf + 48302 485.250 * * [simplify]: Extracting #8: cost 0 inf + 72177 485.275 * * [simplify]: Extracting #9: cost 0 inf + 70334 485.286 * * [simplify]: Extracting #10: cost 0 inf + 69177 485.297 * * [simplify]: Extracting #11: cost 0 inf + 68996 485.308 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k))))) 485.308 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k))))))) 485.308 * * * * [progress]: [ 625 / 675 ] simplifiying candidate # 485.308 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) 485.308 * * [simplify]: iters left: 6 (17 enodes) 485.316 * * [simplify]: iters left: 5 (68 enodes) 485.328 * * [simplify]: iters left: 4 (102 enodes) 485.346 * * [simplify]: iters left: 3 (146 enodes) 485.380 * * [simplify]: iters left: 2 (242 enodes) 485.438 * * [simplify]: iters left: 1 (417 enodes) 485.618 * * [simplify]: Extracting #0: cost 1 inf + 0 485.618 * * [simplify]: Extracting #1: cost 8 inf + 0 485.618 * * [simplify]: Extracting #2: cost 17 inf + 0 485.619 * * [simplify]: Extracting #3: cost 47 inf + 0 485.619 * * [simplify]: Extracting #4: cost 124 inf + 43 485.621 * * [simplify]: Extracting #5: cost 170 inf + 825 485.624 * * [simplify]: Extracting #6: cost 120 inf + 8867 485.634 * * [simplify]: Extracting #7: cost 46 inf + 33890 485.646 * * [simplify]: Extracting #8: cost 4 inf + 68460 485.659 * * [simplify]: Extracting #9: cost 0 inf + 72126 485.669 * * [simplify]: Extracting #10: cost 0 inf + 72125 485.679 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 485.679 * [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 (sqrt k)) (cbrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))))) 485.680 * * * * [progress]: [ 626 / 675 ] simplifiying candidate # 485.680 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) 485.680 * * [simplify]: iters left: 6 (18 enodes) 485.685 * * [simplify]: iters left: 5 (71 enodes) 485.701 * * [simplify]: iters left: 4 (105 enodes) 485.734 * * [simplify]: iters left: 3 (152 enodes) 485.790 * * [simplify]: iters left: 2 (250 enodes) 485.843 * * [simplify]: iters left: 1 (422 enodes) 486.022 * * [simplify]: Extracting #0: cost 1 inf + 0 486.022 * * [simplify]: Extracting #1: cost 8 inf + 0 486.022 * * [simplify]: Extracting #2: cost 17 inf + 0 486.022 * * [simplify]: Extracting #3: cost 49 inf + 0 486.023 * * [simplify]: Extracting #4: cost 130 inf + 84 486.024 * * [simplify]: Extracting #5: cost 192 inf + 987 486.030 * * [simplify]: Extracting #6: cost 111 inf + 18598 486.049 * * [simplify]: Extracting #7: cost 10 inf + 66346 486.070 * * [simplify]: Extracting #8: cost 0 inf + 71791 486.088 * * [simplify]: Extracting #9: cost 0 inf + 65651 486.112 * * [simplify]: Extracting #10: cost 0 inf + 64262 486.143 * * [simplify]: Extracting #11: cost 0 inf + 64131 486.162 * [simplify]: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (sqrt (sqrt (cbrt k)))) 486.162 * [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 (* (cbrt k) (cbrt k))))) (* (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (sqrt (sqrt (cbrt k)))))) 486.162 * * * * [progress]: [ 627 / 675 ] simplifiying candidate # 486.163 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 486.163 * * [simplify]: iters left: 6 (16 enodes) 486.168 * * [simplify]: iters left: 5 (65 enodes) 486.179 * * [simplify]: iters left: 4 (99 enodes) 486.209 * * [simplify]: iters left: 3 (143 enodes) 486.261 * * [simplify]: iters left: 2 (239 enodes) 486.342 * * [simplify]: iters left: 1 (405 enodes) 486.470 * * [simplify]: Extracting #0: cost 1 inf + 0 486.470 * * [simplify]: Extracting #1: cost 8 inf + 0 486.470 * * [simplify]: Extracting #2: cost 16 inf + 0 486.470 * * [simplify]: Extracting #3: cost 44 inf + 0 486.470 * * [simplify]: Extracting #4: cost 124 inf + 43 486.471 * * [simplify]: Extracting #5: cost 170 inf + 340 486.472 * * [simplify]: Extracting #6: cost 115 inf + 9946 486.480 * * [simplify]: Extracting #7: cost 31 inf + 48022 486.502 * * [simplify]: Extracting #8: cost 0 inf + 71857 486.523 * * [simplify]: Extracting #9: cost 0 inf + 70014 486.544 * * [simplify]: Extracting #10: cost 0 inf + 68857 486.568 * * [simplify]: Extracting #11: cost 0 inf + 68676 486.579 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 486.579 * [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 (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 486.579 * * * * [progress]: [ 628 / 675 ] simplifiying candidate # 486.579 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 486.579 * * [simplify]: iters left: 6 (15 enodes) 486.584 * * [simplify]: iters left: 5 (62 enodes) 486.594 * * [simplify]: iters left: 4 (96 enodes) 486.620 * * [simplify]: iters left: 3 (136 enodes) 486.668 * * [simplify]: iters left: 2 (233 enodes) 486.751 * * [simplify]: iters left: 1 (403 enodes) 486.949 * * [simplify]: Extracting #0: cost 1 inf + 0 486.949 * * [simplify]: Extracting #1: cost 7 inf + 0 486.949 * * [simplify]: Extracting #2: cost 14 inf + 0 486.949 * * [simplify]: Extracting #3: cost 41 inf + 1 486.950 * * [simplify]: Extracting #4: cost 118 inf + 84 486.951 * * [simplify]: Extracting #5: cost 167 inf + 340 486.953 * * [simplify]: Extracting #6: cost 140 inf + 3028 486.958 * * [simplify]: Extracting #7: cost 79 inf + 13004 486.967 * * [simplify]: Extracting #8: cost 45 inf + 31251 486.985 * * [simplify]: Extracting #9: cost 8 inf + 61308 487.007 * * [simplify]: Extracting #10: cost 0 inf + 68979 487.028 * * [simplify]: Extracting #11: cost 0 inf + 68277 487.040 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 487.040 * [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 1))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 487.040 * * * * [progress]: [ 629 / 675 ] simplifiying candidate # 487.041 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 487.041 * * [simplify]: iters left: 6 (16 enodes) 487.046 * * [simplify]: iters left: 5 (65 enodes) 487.067 * * [simplify]: iters left: 4 (99 enodes) 487.083 * * [simplify]: iters left: 3 (143 enodes) 487.115 * * [simplify]: iters left: 2 (239 enodes) 487.180 * * [simplify]: iters left: 1 (405 enodes) 487.313 * * [simplify]: Extracting #0: cost 1 inf + 0 487.313 * * [simplify]: Extracting #1: cost 8 inf + 0 487.314 * * [simplify]: Extracting #2: cost 16 inf + 0 487.314 * * [simplify]: Extracting #3: cost 44 inf + 0 487.314 * * [simplify]: Extracting #4: cost 124 inf + 43 487.316 * * [simplify]: Extracting #5: cost 170 inf + 340 487.319 * * [simplify]: Extracting #6: cost 115 inf + 9946 487.332 * * [simplify]: Extracting #7: cost 31 inf + 48022 487.346 * * [simplify]: Extracting #8: cost 0 inf + 71857 487.357 * * [simplify]: Extracting #9: cost 0 inf + 70014 487.369 * * [simplify]: Extracting #10: cost 0 inf + 68857 487.388 * * [simplify]: Extracting #11: cost 0 inf + 68676 487.399 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 487.399 * [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 (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 487.399 * * * * [progress]: [ 630 / 675 ] simplifiying candidate # 487.400 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 487.400 * * [simplify]: iters left: 6 (15 enodes) 487.404 * * [simplify]: iters left: 5 (62 enodes) 487.415 * * [simplify]: iters left: 4 (96 enodes) 487.441 * * [simplify]: iters left: 3 (136 enodes) 487.491 * * [simplify]: iters left: 2 (233 enodes) 487.570 * * [simplify]: iters left: 1 (403 enodes) 487.779 * * [simplify]: Extracting #0: cost 1 inf + 0 487.779 * * [simplify]: Extracting #1: cost 7 inf + 0 487.779 * * [simplify]: Extracting #2: cost 14 inf + 0 487.779 * * [simplify]: Extracting #3: cost 41 inf + 1 487.780 * * [simplify]: Extracting #4: cost 118 inf + 84 487.781 * * [simplify]: Extracting #5: cost 167 inf + 340 487.784 * * [simplify]: Extracting #6: cost 140 inf + 3028 487.789 * * [simplify]: Extracting #7: cost 79 inf + 13004 487.799 * * [simplify]: Extracting #8: cost 45 inf + 31251 487.818 * * [simplify]: Extracting #9: cost 8 inf + 61308 487.842 * * [simplify]: Extracting #10: cost 0 inf + 68979 487.866 * * [simplify]: Extracting #11: cost 0 inf + 68277 487.878 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 487.878 * [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)) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 487.878 * * * * [progress]: [ 631 / 675 ] simplifiying candidate # 487.878 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 487.878 * * [simplify]: iters left: 6 (16 enodes) 487.883 * * [simplify]: iters left: 5 (65 enodes) 487.896 * * [simplify]: iters left: 4 (99 enodes) 487.924 * * [simplify]: iters left: 3 (143 enodes) 487.951 * * [simplify]: iters left: 2 (239 enodes) 488.029 * * [simplify]: iters left: 1 (405 enodes) 488.167 * * [simplify]: Extracting #0: cost 1 inf + 0 488.167 * * [simplify]: Extracting #1: cost 8 inf + 0 488.167 * * [simplify]: Extracting #2: cost 16 inf + 0 488.168 * * [simplify]: Extracting #3: cost 44 inf + 0 488.168 * * [simplify]: Extracting #4: cost 124 inf + 43 488.169 * * [simplify]: Extracting #5: cost 170 inf + 340 488.171 * * [simplify]: Extracting #6: cost 115 inf + 9946 488.178 * * [simplify]: Extracting #7: cost 31 inf + 48022 488.189 * * [simplify]: Extracting #8: cost 0 inf + 71857 488.199 * * [simplify]: Extracting #9: cost 0 inf + 70014 488.218 * * [simplify]: Extracting #10: cost 0 inf + 68857 488.240 * * [simplify]: Extracting #11: cost 0 inf + 68676 488.261 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 488.261 * [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 (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 488.262 * * * * [progress]: [ 632 / 675 ] simplifiying candidate # 488.262 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 488.262 * * [simplify]: iters left: 6 (15 enodes) 488.274 * * [simplify]: iters left: 5 (62 enodes) 488.294 * * [simplify]: iters left: 4 (96 enodes) 488.324 * * [simplify]: iters left: 3 (136 enodes) 488.371 * * [simplify]: iters left: 2 (233 enodes) 488.447 * * [simplify]: iters left: 1 (403 enodes) 488.562 * * [simplify]: Extracting #0: cost 1 inf + 0 488.562 * * [simplify]: Extracting #1: cost 7 inf + 0 488.562 * * [simplify]: Extracting #2: cost 14 inf + 0 488.562 * * [simplify]: Extracting #3: cost 41 inf + 1 488.563 * * [simplify]: Extracting #4: cost 118 inf + 84 488.564 * * [simplify]: Extracting #5: cost 167 inf + 340 488.567 * * [simplify]: Extracting #6: cost 140 inf + 3028 488.577 * * [simplify]: Extracting #7: cost 79 inf + 13004 488.586 * * [simplify]: Extracting #8: cost 45 inf + 31251 488.604 * * [simplify]: Extracting #9: cost 8 inf + 61308 488.625 * * [simplify]: Extracting #10: cost 0 inf + 68979 488.646 * * [simplify]: Extracting #11: cost 0 inf + 68277 488.668 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 488.668 * [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) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 488.668 * * * * [progress]: [ 633 / 675 ] simplifiying candidate # 488.669 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt (sqrt k))))) 488.669 * * [simplify]: iters left: 6 (16 enodes) 488.676 * * [simplify]: iters left: 5 (65 enodes) 488.695 * * [simplify]: iters left: 4 (100 enodes) 488.725 * * [simplify]: iters left: 3 (144 enodes) 488.758 * * [simplify]: iters left: 2 (240 enodes) 488.825 * * [simplify]: iters left: 1 (409 enodes) 488.998 * * [simplify]: Extracting #0: cost 1 inf + 0 488.998 * * [simplify]: Extracting #1: cost 8 inf + 0 488.998 * * [simplify]: Extracting #2: cost 17 inf + 0 488.998 * * [simplify]: Extracting #3: cost 47 inf + 0 488.999 * * [simplify]: Extracting #4: cost 137 inf + 43 489.000 * * [simplify]: Extracting #5: cost 170 inf + 466 489.005 * * [simplify]: Extracting #6: cost 104 inf + 11036 489.015 * * [simplify]: Extracting #7: cost 42 inf + 37071 489.037 * * [simplify]: Extracting #8: cost 3 inf + 69860 489.062 * * [simplify]: Extracting #9: cost 0 inf + 68757 489.077 * * [simplify]: Extracting #10: cost 0 inf + 68545 489.088 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k))))) 489.088 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (sqrt (sqrt k))))))) 489.088 * * * * [progress]: [ 634 / 675 ] simplifiying candidate # 489.088 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt (sqrt k))))) 489.088 * * [simplify]: iters left: 6 (17 enodes) 489.093 * * [simplify]: iters left: 5 (68 enodes) 489.105 * * [simplify]: iters left: 4 (103 enodes) 489.126 * * [simplify]: iters left: 3 (147 enodes) 489.179 * * [simplify]: iters left: 2 (243 enodes) 489.241 * * [simplify]: iters left: 1 (414 enodes) 489.431 * * [simplify]: Extracting #0: cost 1 inf + 0 489.431 * * [simplify]: Extracting #1: cost 8 inf + 0 489.431 * * [simplify]: Extracting #2: cost 18 inf + 0 489.431 * * [simplify]: Extracting #3: cost 52 inf + 0 489.432 * * [simplify]: Extracting #4: cost 139 inf + 43 489.434 * * [simplify]: Extracting #5: cost 165 inf + 1766 489.441 * * [simplify]: Extracting #6: cost 83 inf + 21192 489.461 * * [simplify]: Extracting #7: cost 6 inf + 59309 489.493 * * [simplify]: Extracting #8: cost 0 inf + 61406 489.526 * * [simplify]: Extracting #9: cost 0 inf + 61315 489.563 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 489.563 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 489.563 * * * * [progress]: [ 635 / 675 ] simplifiying candidate # 489.564 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (cbrt k))))) 489.564 * * [simplify]: iters left: 6 (18 enodes) 489.573 * * [simplify]: iters left: 5 (71 enodes) 489.596 * * [simplify]: iters left: 4 (106 enodes) 489.623 * * [simplify]: iters left: 3 (153 enodes) 489.657 * * [simplify]: iters left: 2 (251 enodes) 489.716 * * [simplify]: iters left: 1 (423 enodes) 489.870 * * [simplify]: Extracting #0: cost 1 inf + 0 489.870 * * [simplify]: Extracting #1: cost 8 inf + 0 489.870 * * [simplify]: Extracting #2: cost 18 inf + 0 489.870 * * [simplify]: Extracting #3: cost 49 inf + 0 489.871 * * [simplify]: Extracting #4: cost 135 inf + 43 489.872 * * [simplify]: Extracting #5: cost 181 inf + 1635 489.874 * * [simplify]: Extracting #6: cost 100 inf + 14631 489.881 * * [simplify]: Extracting #7: cost 20 inf + 50868 489.901 * * [simplify]: Extracting #8: cost 0 inf + 67215 489.923 * * [simplify]: Extracting #9: cost 0 inf + 66403 489.945 * * [simplify]: Extracting #10: cost 0 inf + 65980 489.970 * [simplify]: Simplified to (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 489.971 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 489.971 * * * * [progress]: [ 636 / 675 ] simplifiying candidate # 489.971 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 489.971 * * [simplify]: iters left: 6 (16 enodes) 489.981 * * [simplify]: iters left: 5 (65 enodes) 489.992 * * [simplify]: iters left: 4 (100 enodes) 490.007 * * [simplify]: iters left: 3 (144 enodes) 490.051 * * [simplify]: iters left: 2 (240 enodes) 490.110 * * [simplify]: iters left: 1 (409 enodes) 490.315 * * [simplify]: Extracting #0: cost 1 inf + 0 490.315 * * [simplify]: Extracting #1: cost 8 inf + 0 490.315 * * [simplify]: Extracting #2: cost 17 inf + 0 490.315 * * [simplify]: Extracting #3: cost 47 inf + 0 490.316 * * [simplify]: Extracting #4: cost 137 inf + 43 490.317 * * [simplify]: Extracting #5: cost 170 inf + 466 490.327 * * [simplify]: Extracting #6: cost 104 inf + 10876 490.334 * * [simplify]: Extracting #7: cost 42 inf + 36791 490.344 * * [simplify]: Extracting #8: cost 3 inf + 69540 490.355 * * [simplify]: Extracting #9: cost 0 inf + 68437 490.373 * * [simplify]: Extracting #10: cost 0 inf + 68225 490.395 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 490.395 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 490.396 * * * * [progress]: [ 637 / 675 ] simplifiying candidate # 490.396 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 490.396 * * [simplify]: iters left: 6 (15 enodes) 490.405 * * [simplify]: iters left: 5 (62 enodes) 490.423 * * [simplify]: iters left: 4 (97 enodes) 490.457 * * [simplify]: iters left: 3 (140 enodes) 490.501 * * [simplify]: iters left: 2 (242 enodes) 490.544 * * [simplify]: iters left: 1 (420 enodes) 490.723 * * [simplify]: Extracting #0: cost 1 inf + 0 490.723 * * [simplify]: Extracting #1: cost 7 inf + 0 490.723 * * [simplify]: Extracting #2: cost 15 inf + 0 490.723 * * [simplify]: Extracting #3: cost 43 inf + 1 490.724 * * [simplify]: Extracting #4: cost 128 inf + 84 490.725 * * [simplify]: Extracting #5: cost 173 inf + 466 490.729 * * [simplify]: Extracting #6: cost 115 inf + 10799 490.735 * * [simplify]: Extracting #7: cost 47 inf + 25707 490.743 * * [simplify]: Extracting #8: cost 18 inf + 47364 490.756 * * [simplify]: Extracting #9: cost 2 inf + 62784 490.767 * * [simplify]: Extracting #10: cost 0 inf + 64650 490.778 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 490.778 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt 1))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 490.778 * * * * [progress]: [ 638 / 675 ] simplifiying candidate # 490.778 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 490.778 * * [simplify]: iters left: 6 (16 enodes) 490.783 * * [simplify]: iters left: 5 (65 enodes) 490.794 * * [simplify]: iters left: 4 (100 enodes) 490.810 * * [simplify]: iters left: 3 (144 enodes) 490.838 * * [simplify]: iters left: 2 (240 enodes) 490.910 * * [simplify]: iters left: 1 (409 enodes) 491.055 * * [simplify]: Extracting #0: cost 1 inf + 0 491.055 * * [simplify]: Extracting #1: cost 8 inf + 0 491.055 * * [simplify]: Extracting #2: cost 17 inf + 0 491.055 * * [simplify]: Extracting #3: cost 47 inf + 0 491.056 * * [simplify]: Extracting #4: cost 137 inf + 43 491.057 * * [simplify]: Extracting #5: cost 170 inf + 466 491.061 * * [simplify]: Extracting #6: cost 104 inf + 10876 491.069 * * [simplify]: Extracting #7: cost 42 inf + 36791 491.079 * * [simplify]: Extracting #8: cost 3 inf + 69540 491.090 * * [simplify]: Extracting #9: cost 0 inf + 68437 491.108 * * [simplify]: Extracting #10: cost 0 inf + 68225 491.130 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 491.130 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 491.130 * * * * [progress]: [ 639 / 675 ] simplifiying candidate # 491.131 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 491.131 * * [simplify]: iters left: 6 (15 enodes) 491.139 * * [simplify]: iters left: 5 (62 enodes) 491.156 * * [simplify]: iters left: 4 (97 enodes) 491.174 * * [simplify]: iters left: 3 (140 enodes) 491.204 * * [simplify]: iters left: 2 (242 enodes) 491.260 * * [simplify]: iters left: 1 (420 enodes) 491.408 * * [simplify]: Extracting #0: cost 1 inf + 0 491.408 * * [simplify]: Extracting #1: cost 7 inf + 0 491.408 * * [simplify]: Extracting #2: cost 15 inf + 0 491.408 * * [simplify]: Extracting #3: cost 43 inf + 1 491.409 * * [simplify]: Extracting #4: cost 128 inf + 84 491.410 * * [simplify]: Extracting #5: cost 173 inf + 466 491.415 * * [simplify]: Extracting #6: cost 115 inf + 10799 491.428 * * [simplify]: Extracting #7: cost 47 inf + 25707 491.438 * * [simplify]: Extracting #8: cost 18 inf + 47364 491.448 * * [simplify]: Extracting #9: cost 2 inf + 62784 491.458 * * [simplify]: Extracting #10: cost 0 inf + 64650 491.476 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 491.476 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 491.476 * * * * [progress]: [ 640 / 675 ] simplifiying candidate # 491.476 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k))))) 491.476 * * [simplify]: iters left: 6 (16 enodes) 491.485 * * [simplify]: iters left: 5 (65 enodes) 491.507 * * [simplify]: iters left: 4 (100 enodes) 491.536 * * [simplify]: iters left: 3 (144 enodes) 491.565 * * [simplify]: iters left: 2 (240 enodes) 491.646 * * [simplify]: iters left: 1 (409 enodes) 491.822 * * [simplify]: Extracting #0: cost 1 inf + 0 491.822 * * [simplify]: Extracting #1: cost 8 inf + 0 491.822 * * [simplify]: Extracting #2: cost 17 inf + 0 491.822 * * [simplify]: Extracting #3: cost 47 inf + 0 491.823 * * [simplify]: Extracting #4: cost 137 inf + 43 491.824 * * [simplify]: Extracting #5: cost 170 inf + 466 491.826 * * [simplify]: Extracting #6: cost 104 inf + 10876 491.836 * * [simplify]: Extracting #7: cost 42 inf + 36791 491.858 * * [simplify]: Extracting #8: cost 3 inf + 69540 491.880 * * [simplify]: Extracting #9: cost 0 inf + 68437 491.905 * * [simplify]: Extracting #10: cost 0 inf + 68225 491.926 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))) 491.927 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (sqrt (sqrt (sqrt k))))))) 491.927 * * * * [progress]: [ 641 / 675 ] simplifiying candidate # 491.927 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) 491.927 * * [simplify]: iters left: 6 (15 enodes) 491.936 * * [simplify]: iters left: 5 (62 enodes) 491.956 * * [simplify]: iters left: 4 (97 enodes) 491.987 * * [simplify]: iters left: 3 (140 enodes) 492.038 * * [simplify]: iters left: 2 (242 enodes) 492.111 * * [simplify]: iters left: 1 (420 enodes) 492.277 * * [simplify]: Extracting #0: cost 1 inf + 0 492.277 * * [simplify]: Extracting #1: cost 7 inf + 0 492.277 * * [simplify]: Extracting #2: cost 15 inf + 0 492.277 * * [simplify]: Extracting #3: cost 43 inf + 1 492.277 * * [simplify]: Extracting #4: cost 128 inf + 84 492.278 * * [simplify]: Extracting #5: cost 173 inf + 466 492.280 * * [simplify]: Extracting #6: cost 115 inf + 10799 492.284 * * [simplify]: Extracting #7: cost 47 inf + 25707 492.292 * * [simplify]: Extracting #8: cost 18 inf + 47364 492.310 * * [simplify]: Extracting #9: cost 2 inf + 62784 492.330 * * [simplify]: Extracting #10: cost 0 inf + 64650 492.350 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 492.351 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 492.351 * * * * [progress]: [ 642 / 675 ] simplifiying candidate # 492.351 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt (sqrt k))))) 492.352 * * [simplify]: iters left: 6 (15 enodes) 492.359 * * [simplify]: iters left: 5 (62 enodes) 492.379 * * [simplify]: iters left: 4 (100 enodes) 492.412 * * [simplify]: iters left: 3 (163 enodes) 492.449 * * [simplify]: iters left: 2 (323 enodes) 492.557 * * [simplify]: Extracting #0: cost 1 inf + 0 492.557 * * [simplify]: Extracting #1: cost 56 inf + 0 492.558 * * [simplify]: Extracting #2: cost 150 inf + 0 492.559 * * [simplify]: Extracting #3: cost 209 inf + 2 492.561 * * [simplify]: Extracting #4: cost 193 inf + 4834 492.568 * * [simplify]: Extracting #5: cost 127 inf + 26682 492.592 * * [simplify]: Extracting #6: cost 21 inf + 99955 492.617 * * [simplify]: Extracting #7: cost 0 inf + 117393 492.633 * * [simplify]: Extracting #8: cost 0 inf + 116607 492.655 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 492.656 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 492.656 * * * * [progress]: [ 643 / 675 ] simplifiying candidate # 492.656 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt (sqrt k))))) 492.656 * * [simplify]: iters left: 6 (16 enodes) 492.665 * * [simplify]: iters left: 5 (65 enodes) 492.685 * * [simplify]: iters left: 4 (103 enodes) 492.718 * * [simplify]: iters left: 3 (166 enodes) 492.757 * * [simplify]: iters left: 2 (326 enodes) 492.864 * * [simplify]: Extracting #0: cost 1 inf + 0 492.864 * * [simplify]: Extracting #1: cost 56 inf + 0 492.865 * * [simplify]: Extracting #2: cost 152 inf + 0 492.866 * * [simplify]: Extracting #3: cost 215 inf + 2 492.868 * * [simplify]: Extracting #4: cost 202 inf + 1872 492.875 * * [simplify]: Extracting #5: cost 130 inf + 30664 492.900 * * [simplify]: Extracting #6: cost 20 inf + 102148 492.933 * * [simplify]: Extracting #7: cost 0 inf + 120119 492.970 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 492.970 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 492.970 * * * * [progress]: [ 644 / 675 ] simplifiying candidate # 492.971 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) 492.971 * * [simplify]: iters left: 6 (17 enodes) 492.980 * * [simplify]: iters left: 5 (68 enodes) 493.002 * * [simplify]: iters left: 4 (106 enodes) 493.028 * * [simplify]: iters left: 3 (169 enodes) 493.071 * * [simplify]: iters left: 2 (329 enodes) 493.209 * * [simplify]: Extracting #0: cost 1 inf + 0 493.209 * * [simplify]: Extracting #1: cost 56 inf + 0 493.210 * * [simplify]: Extracting #2: cost 153 inf + 0 493.211 * * [simplify]: Extracting #3: cost 217 inf + 2 493.213 * * [simplify]: Extracting #4: cost 196 inf + 4836 493.223 * * [simplify]: Extracting #5: cost 136 inf + 22310 493.236 * * [simplify]: Extracting #6: cost 32 inf + 97320 493.254 * * [simplify]: Extracting #7: cost 0 inf + 123814 493.284 * * [simplify]: Extracting #8: cost 0 inf + 123181 493.302 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))) 493.302 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (cbrt k))))))) 493.302 * * * * [progress]: [ 645 / 675 ] simplifiying candidate # 493.302 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 493.302 * * [simplify]: iters left: 6 (15 enodes) 493.306 * * [simplify]: iters left: 5 (62 enodes) 493.316 * * [simplify]: iters left: 4 (100 enodes) 493.349 * * [simplify]: iters left: 3 (163 enodes) 493.386 * * [simplify]: iters left: 2 (323 enodes) 493.487 * * [simplify]: Extracting #0: cost 1 inf + 0 493.487 * * [simplify]: Extracting #1: cost 56 inf + 0 493.488 * * [simplify]: Extracting #2: cost 150 inf + 0 493.488 * * [simplify]: Extracting #3: cost 209 inf + 2 493.489 * * [simplify]: Extracting #4: cost 193 inf + 4634 493.493 * * [simplify]: Extracting #5: cost 127 inf + 26002 493.504 * * [simplify]: Extracting #6: cost 21 inf + 97235 493.523 * * [simplify]: Extracting #7: cost 0 inf + 114033 493.538 * * [simplify]: Extracting #8: cost 0 inf + 113247 493.554 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 493.554 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 493.554 * * * * [progress]: [ 646 / 675 ] simplifiying candidate # 493.554 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 493.555 * * [simplify]: iters left: 6 (14 enodes) 493.559 * * [simplify]: iters left: 5 (59 enodes) 493.570 * * [simplify]: iters left: 4 (100 enodes) 493.585 * * [simplify]: iters left: 3 (151 enodes) 493.613 * * [simplify]: iters left: 2 (276 enodes) 493.712 * * [simplify]: Extracting #0: cost 1 inf + 0 493.712 * * [simplify]: Extracting #1: cost 42 inf + 0 493.713 * * [simplify]: Extracting #2: cost 117 inf + 0 493.714 * * [simplify]: Extracting #3: cost 172 inf + 125 493.715 * * [simplify]: Extracting #4: cost 177 inf + 383 493.717 * * [simplify]: Extracting #5: cost 142 inf + 6796 493.724 * * [simplify]: Extracting #6: cost 96 inf + 18067 493.741 * * [simplify]: Extracting #7: cost 16 inf + 76438 493.764 * * [simplify]: Extracting #8: cost 0 inf + 88893 493.788 * * [simplify]: Extracting #9: cost 0 inf + 87601 493.811 * * [simplify]: Extracting #10: cost 0 inf + 87470 493.835 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 493.835 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 493.835 * * * * [progress]: [ 647 / 675 ] simplifiying candidate # 493.835 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 493.835 * * [simplify]: iters left: 6 (15 enodes) 493.844 * * [simplify]: iters left: 5 (62 enodes) 493.867 * * [simplify]: iters left: 4 (100 enodes) 493.899 * * [simplify]: iters left: 3 (163 enodes) 493.957 * * [simplify]: iters left: 2 (323 enodes) 494.060 * * [simplify]: Extracting #0: cost 1 inf + 0 494.060 * * [simplify]: Extracting #1: cost 56 inf + 0 494.061 * * [simplify]: Extracting #2: cost 150 inf + 0 494.061 * * [simplify]: Extracting #3: cost 209 inf + 2 494.063 * * [simplify]: Extracting #4: cost 193 inf + 4634 494.066 * * [simplify]: Extracting #5: cost 127 inf + 26002 494.081 * * [simplify]: Extracting #6: cost 21 inf + 97235 494.097 * * [simplify]: Extracting #7: cost 0 inf + 114033 494.118 * * [simplify]: Extracting #8: cost 0 inf + 113247 494.150 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 494.151 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 494.151 * * * * [progress]: [ 648 / 675 ] simplifiying candidate # 494.151 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 494.151 * * [simplify]: iters left: 6 (14 enodes) 494.160 * * [simplify]: iters left: 5 (59 enodes) 494.180 * * [simplify]: iters left: 4 (100 enodes) 494.213 * * [simplify]: iters left: 3 (151 enodes) 494.241 * * [simplify]: iters left: 2 (276 enodes) 494.337 * * [simplify]: Extracting #0: cost 1 inf + 0 494.338 * * [simplify]: Extracting #1: cost 42 inf + 0 494.338 * * [simplify]: Extracting #2: cost 117 inf + 0 494.339 * * [simplify]: Extracting #3: cost 172 inf + 125 494.340 * * [simplify]: Extracting #4: cost 177 inf + 383 494.343 * * [simplify]: Extracting #5: cost 142 inf + 6796 494.348 * * [simplify]: Extracting #6: cost 96 inf + 18067 494.360 * * [simplify]: Extracting #7: cost 16 inf + 76438 494.371 * * [simplify]: Extracting #8: cost 0 inf + 88893 494.383 * * [simplify]: Extracting #9: cost 0 inf + 87601 494.400 * * [simplify]: Extracting #10: cost 0 inf + 87470 494.427 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 494.427 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt 1)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 494.427 * * * * [progress]: [ 649 / 675 ] simplifiying candidate # 494.427 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt (sqrt k))))) 494.427 * * [simplify]: iters left: 6 (15 enodes) 494.436 * * [simplify]: iters left: 5 (62 enodes) 494.451 * * [simplify]: iters left: 4 (100 enodes) 494.467 * * [simplify]: iters left: 3 (163 enodes) 494.514 * * [simplify]: iters left: 2 (323 enodes) 494.599 * * [simplify]: Extracting #0: cost 1 inf + 0 494.599 * * [simplify]: Extracting #1: cost 56 inf + 0 494.600 * * [simplify]: Extracting #2: cost 150 inf + 0 494.601 * * [simplify]: Extracting #3: cost 209 inf + 2 494.603 * * [simplify]: Extracting #4: cost 193 inf + 4634 494.612 * * [simplify]: Extracting #5: cost 127 inf + 26002 494.623 * * [simplify]: Extracting #6: cost 21 inf + 97235 494.639 * * [simplify]: Extracting #7: cost 0 inf + 114033 494.663 * * [simplify]: Extracting #8: cost 0 inf + 113247 494.679 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 494.679 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 494.679 * * * * [progress]: [ 650 / 675 ] simplifiying candidate # 494.679 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 494.679 * * [simplify]: iters left: 6 (14 enodes) 494.683 * * [simplify]: iters left: 5 (59 enodes) 494.695 * * [simplify]: iters left: 4 (100 enodes) 494.716 * * [simplify]: iters left: 3 (151 enodes) 494.749 * * [simplify]: iters left: 2 (276 enodes) 494.818 * * [simplify]: Extracting #0: cost 1 inf + 0 494.818 * * [simplify]: Extracting #1: cost 42 inf + 0 494.818 * * [simplify]: Extracting #2: cost 117 inf + 0 494.819 * * [simplify]: Extracting #3: cost 172 inf + 125 494.819 * * [simplify]: Extracting #4: cost 177 inf + 383 494.821 * * [simplify]: Extracting #5: cost 142 inf + 6796 494.823 * * [simplify]: Extracting #6: cost 96 inf + 18067 494.832 * * [simplify]: Extracting #7: cost 16 inf + 76438 494.854 * * [simplify]: Extracting #8: cost 0 inf + 88893 494.878 * * [simplify]: Extracting #9: cost 0 inf + 87601 494.905 * * [simplify]: Extracting #10: cost 0 inf + 87470 494.926 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 494.926 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 494.926 * * * * [progress]: [ 651 / 675 ] simplifiying candidate # 494.926 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt (sqrt k))))) 494.926 * * [simplify]: iters left: 6 (16 enodes) 494.931 * * [simplify]: iters left: 5 (68 enodes) 494.942 * * [simplify]: iters left: 4 (110 enodes) 494.965 * * [simplify]: iters left: 3 (181 enodes) 495.027 * * [simplify]: iters left: 2 (352 enodes) 495.123 * * [simplify]: Extracting #0: cost 1 inf + 0 495.123 * * [simplify]: Extracting #1: cost 56 inf + 0 495.124 * * [simplify]: Extracting #2: cost 152 inf + 0 495.124 * * [simplify]: Extracting #3: cost 220 inf + 2 495.125 * * [simplify]: Extracting #4: cost 221 inf + 1200 495.129 * * [simplify]: Extracting #5: cost 175 inf + 10217 495.143 * * [simplify]: Extracting #6: cost 74 inf + 63227 495.157 * * [simplify]: Extracting #7: cost 9 inf + 114815 495.174 * * [simplify]: Extracting #8: cost 0 inf + 121064 495.210 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 495.210 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 495.210 * * * * [progress]: [ 652 / 675 ] simplifiying candidate # 495.210 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt (sqrt k))))) 495.210 * * [simplify]: iters left: 6 (17 enodes) 495.220 * * [simplify]: iters left: 5 (71 enodes) 495.242 * * [simplify]: iters left: 4 (113 enodes) 495.279 * * [simplify]: iters left: 3 (184 enodes) 495.325 * * [simplify]: iters left: 2 (359 enodes) 495.429 * * [simplify]: Extracting #0: cost 1 inf + 0 495.429 * * [simplify]: Extracting #1: cost 56 inf + 0 495.430 * * [simplify]: Extracting #2: cost 151 inf + 0 495.431 * * [simplify]: Extracting #3: cost 223 inf + 2 495.434 * * [simplify]: Extracting #4: cost 209 inf + 4492 495.442 * * [simplify]: Extracting #5: cost 132 inf + 29253 495.455 * * [simplify]: Extracting #6: cost 34 inf + 94040 495.472 * * [simplify]: Extracting #7: cost 0 inf + 123537 495.506 * * [simplify]: Extracting #8: cost 0 inf + 123292 495.528 * * [simplify]: Extracting #9: cost 0 inf + 123133 495.553 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 495.553 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 495.553 * * * * [progress]: [ 653 / 675 ] simplifiying candidate # 495.553 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (cbrt k))))) 495.554 * * [simplify]: iters left: 6 (18 enodes) 495.563 * * [simplify]: iters left: 5 (74 enodes) 495.587 * * [simplify]: iters left: 4 (116 enodes) 495.626 * * [simplify]: iters left: 3 (187 enodes) 495.696 * * [simplify]: iters left: 2 (362 enodes) 495.820 * * [simplify]: Extracting #0: cost 1 inf + 0 495.820 * * [simplify]: Extracting #1: cost 56 inf + 0 495.821 * * [simplify]: Extracting #2: cost 152 inf + 0 495.822 * * [simplify]: Extracting #3: cost 225 inf + 2 495.824 * * [simplify]: Extracting #4: cost 217 inf + 2027 495.829 * * [simplify]: Extracting #5: cost 161 inf + 10960 495.844 * * [simplify]: Extracting #6: cost 76 inf + 61359 495.875 * * [simplify]: Extracting #7: cost 8 inf + 121286 495.915 * * [simplify]: Extracting #8: cost 0 inf + 127796 495.951 * * [simplify]: Extracting #9: cost 0 inf + 127534 495.987 * [simplify]: Simplified to (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 495.988 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (sqrt (sqrt (cbrt k))) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 495.988 * * * * [progress]: [ 654 / 675 ] simplifiying candidate # 495.988 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) 495.988 * * [simplify]: iters left: 6 (16 enodes) 495.998 * * [simplify]: iters left: 5 (68 enodes) 496.016 * * [simplify]: iters left: 4 (110 enodes) 496.038 * * [simplify]: iters left: 3 (181 enodes) 496.092 * * [simplify]: iters left: 2 (352 enodes) 496.216 * * [simplify]: Extracting #0: cost 1 inf + 0 496.216 * * [simplify]: Extracting #1: cost 56 inf + 0 496.217 * * [simplify]: Extracting #2: cost 152 inf + 0 496.218 * * [simplify]: Extracting #3: cost 220 inf + 2 496.219 * * [simplify]: Extracting #4: cost 221 inf + 1080 496.221 * * [simplify]: Extracting #5: cost 175 inf + 9977 496.229 * * [simplify]: Extracting #6: cost 74 inf + 61747 496.243 * * [simplify]: Extracting #7: cost 9 inf + 111655 496.279 * * [simplify]: Extracting #8: cost 0 inf + 117704 496.313 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 496.313 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 496.313 * * * * [progress]: [ 655 / 675 ] simplifiying candidate # 496.313 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) 496.313 * * [simplify]: iters left: 6 (15 enodes) 496.322 * * [simplify]: iters left: 5 (65 enodes) 496.343 * * [simplify]: iters left: 4 (106 enodes) 496.365 * * [simplify]: iters left: 3 (167 enodes) 496.398 * * [simplify]: iters left: 2 (318 enodes) 496.522 * * [simplify]: Extracting #0: cost 1 inf + 0 496.522 * * [simplify]: Extracting #1: cost 42 inf + 0 496.523 * * [simplify]: Extracting #2: cost 116 inf + 0 496.523 * * [simplify]: Extracting #3: cost 174 inf + 125 496.525 * * [simplify]: Extracting #4: cost 178 inf + 842 496.528 * * [simplify]: Extracting #5: cost 140 inf + 7010 496.538 * * [simplify]: Extracting #6: cost 67 inf + 35406 496.559 * * [simplify]: Extracting #7: cost 11 inf + 79150 496.584 * * [simplify]: Extracting #8: cost 0 inf + 89093 496.609 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 496.609 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt 1))) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 496.609 * * * * [progress]: [ 656 / 675 ] simplifiying candidate # 496.610 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) 496.610 * * [simplify]: iters left: 6 (16 enodes) 496.620 * * [simplify]: iters left: 5 (68 enodes) 496.637 * * [simplify]: iters left: 4 (110 enodes) 496.657 * * [simplify]: iters left: 3 (181 enodes) 496.720 * * [simplify]: iters left: 2 (352 enodes) 496.827 * * [simplify]: Extracting #0: cost 1 inf + 0 496.827 * * [simplify]: Extracting #1: cost 56 inf + 0 496.827 * * [simplify]: Extracting #2: cost 152 inf + 0 496.828 * * [simplify]: Extracting #3: cost 220 inf + 2 496.833 * * [simplify]: Extracting #4: cost 221 inf + 1080 496.837 * * [simplify]: Extracting #5: cost 175 inf + 9977 496.849 * * [simplify]: Extracting #6: cost 74 inf + 61747 496.864 * * [simplify]: Extracting #7: cost 9 inf + 111655 496.887 * * [simplify]: Extracting #8: cost 0 inf + 117704 496.920 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 496.920 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 496.920 * * * * [progress]: [ 657 / 675 ] simplifiying candidate # 496.920 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) 496.921 * * [simplify]: iters left: 6 (15 enodes) 496.929 * * [simplify]: iters left: 5 (65 enodes) 496.951 * * [simplify]: iters left: 4 (106 enodes) 496.974 * * [simplify]: iters left: 3 (167 enodes) 497.013 * * [simplify]: iters left: 2 (318 enodes) 497.115 * * [simplify]: Extracting #0: cost 1 inf + 0 497.115 * * [simplify]: Extracting #1: cost 42 inf + 0 497.115 * * [simplify]: Extracting #2: cost 116 inf + 0 497.116 * * [simplify]: Extracting #3: cost 174 inf + 125 497.117 * * [simplify]: Extracting #4: cost 178 inf + 842 497.119 * * [simplify]: Extracting #5: cost 140 inf + 7010 497.129 * * [simplify]: Extracting #6: cost 67 inf + 35406 497.151 * * [simplify]: Extracting #7: cost 11 inf + 79150 497.180 * * [simplify]: Extracting #8: cost 0 inf + 89093 497.205 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 497.205 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 497.206 * * * * [progress]: [ 658 / 675 ] simplifiying candidate # 497.206 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k))))) 497.206 * * [simplify]: iters left: 6 (16 enodes) 497.211 * * [simplify]: iters left: 5 (68 enodes) 497.222 * * [simplify]: iters left: 4 (110 enodes) 497.241 * * [simplify]: iters left: 3 (181 enodes) 497.291 * * [simplify]: iters left: 2 (352 enodes) 497.413 * * [simplify]: Extracting #0: cost 1 inf + 0 497.413 * * [simplify]: Extracting #1: cost 56 inf + 0 497.414 * * [simplify]: Extracting #2: cost 152 inf + 0 497.415 * * [simplify]: Extracting #3: cost 220 inf + 2 497.416 * * [simplify]: Extracting #4: cost 221 inf + 1080 497.418 * * [simplify]: Extracting #5: cost 175 inf + 9977 497.426 * * [simplify]: Extracting #6: cost 74 inf + 61747 497.446 * * [simplify]: Extracting #7: cost 9 inf + 111655 497.463 * * [simplify]: Extracting #8: cost 0 inf + 117704 497.482 * [simplify]: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 497.482 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 497.482 * * * * [progress]: [ 659 / 675 ] simplifiying candidate # 497.483 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) 497.483 * * [simplify]: iters left: 6 (15 enodes) 497.488 * * [simplify]: iters left: 5 (65 enodes) 497.511 * * [simplify]: iters left: 4 (106 enodes) 497.544 * * [simplify]: iters left: 3 (167 enodes) 497.578 * * [simplify]: iters left: 2 (318 enodes) 497.667 * * [simplify]: Extracting #0: cost 1 inf + 0 497.667 * * [simplify]: Extracting #1: cost 42 inf + 0 497.668 * * [simplify]: Extracting #2: cost 116 inf + 0 497.669 * * [simplify]: Extracting #3: cost 174 inf + 125 497.671 * * [simplify]: Extracting #4: cost 178 inf + 842 497.677 * * [simplify]: Extracting #5: cost 140 inf + 7010 497.688 * * [simplify]: Extracting #6: cost 67 inf + 35406 497.705 * * [simplify]: Extracting #7: cost 11 inf + 79150 497.718 * * [simplify]: Extracting #8: cost 0 inf + 89093 497.732 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 497.732 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 497.733 * * * * [progress]: [ 660 / 675 ] simplifiying candidate # 497.733 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 497.733 * * [simplify]: iters left: 6 (14 enodes) 497.741 * * [simplify]: iters left: 5 (59 enodes) 497.762 * * [simplify]: iters left: 4 (100 enodes) 497.793 * * [simplify]: iters left: 3 (151 enodes) 497.830 * * [simplify]: iters left: 2 (276 enodes) 497.934 * * [simplify]: Extracting #0: cost 1 inf + 0 497.934 * * [simplify]: Extracting #1: cost 42 inf + 0 497.935 * * [simplify]: Extracting #2: cost 117 inf + 0 497.935 * * [simplify]: Extracting #3: cost 172 inf + 125 497.936 * * [simplify]: Extracting #4: cost 177 inf + 383 497.937 * * [simplify]: Extracting #5: cost 142 inf + 6796 497.940 * * [simplify]: Extracting #6: cost 96 inf + 18067 497.949 * * [simplify]: Extracting #7: cost 16 inf + 76438 497.971 * * [simplify]: Extracting #8: cost 0 inf + 88893 497.994 * * [simplify]: Extracting #9: cost 0 inf + 87601 498.017 * * [simplify]: Extracting #10: cost 0 inf + 87470 498.043 * [simplify]: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) 498.043 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 498.043 * * * * [progress]: [ 661 / 675 ] simplifiying candidate # 498.044 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k)))) 498.044 * * [simplify]: iters left: 6 (6 enodes) 498.047 * * [simplify]: iters left: 5 (22 enodes) 498.054 * * [simplify]: iters left: 4 (25 enodes) 498.062 * * [simplify]: iters left: 3 (31 enodes) 498.070 * * [simplify]: iters left: 2 (32 enodes) 498.078 * * [simplify]: Extracting #0: cost 1 inf + 0 498.078 * * [simplify]: Extracting #1: cost 6 inf + 0 498.078 * * [simplify]: Extracting #2: cost 6 inf + 2 498.078 * * [simplify]: Extracting #3: cost 3 inf + 205 498.078 * * [simplify]: Extracting #4: cost 1 inf + 368 498.079 * * [simplify]: Extracting #5: cost 0 inf + 490 498.079 * [simplify]: Simplified to (sqrt k) 498.079 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 498.079 * * * * [progress]: [ 662 / 675 ] simplifiying candidate # 498.079 * [simplify]: Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k))) 498.079 * * [simplify]: iters left: 4 (4 enodes) 498.081 * * [simplify]: iters left: 3 (10 enodes) 498.084 * * [simplify]: iters left: 2 (11 enodes) 498.087 * * [simplify]: Extracting #0: cost 1 inf + 0 498.087 * * [simplify]: Extracting #1: cost 4 inf + 0 498.087 * * [simplify]: Extracting #2: cost 4 inf + 1 498.087 * * [simplify]: Extracting #3: cost 2 inf + 83 498.087 * * [simplify]: Extracting #4: cost 0 inf + 245 498.087 * [simplify]: Simplified to (sqrt k) 498.087 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 498.087 * * * * [progress]: [ 663 / 675 ] simplifiying candidate #real (real->posit16 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))))> 498.088 * [simplify]: Simplifying (real->posit16 (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 498.088 * * [simplify]: iters left: 6 (15 enodes) 498.096 * * [simplify]: iters left: 5 (59 enodes) 498.115 * * [simplify]: iters left: 4 (96 enodes) 498.141 * * [simplify]: iters left: 3 (153 enodes) 498.169 * * [simplify]: iters left: 2 (274 enodes) 498.278 * * [simplify]: Extracting #0: cost 1 inf + 0 498.278 * * [simplify]: Extracting #1: cost 2 inf + 0 498.278 * * [simplify]: Extracting #2: cost 50 inf + 0 498.279 * * [simplify]: Extracting #3: cost 133 inf + 0 498.280 * * [simplify]: Extracting #4: cost 194 inf + 3 498.282 * * [simplify]: Extracting #5: cost 180 inf + 2830 498.289 * * [simplify]: Extracting #6: cost 96 inf + 33429 498.302 * * [simplify]: Extracting #7: cost 9 inf + 90396 498.315 * * [simplify]: Extracting #8: cost 0 inf + 96847 498.327 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 498.327 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 498.328 * * * * [progress]: [ 664 / 675 ] simplifiying candidate # 498.328 * [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))))) 498.328 * * [simplify]: iters left: 6 (37 enodes) 498.339 * * [simplify]: iters left: 5 (190 enodes) 498.383 * * [simplify]: Extracting #0: cost 1 inf + 0 498.384 * * [simplify]: Extracting #1: cost 22 inf + 0 498.384 * * [simplify]: Extracting #2: cost 108 inf + 1 498.384 * * [simplify]: Extracting #3: cost 171 inf + 46 498.385 * * [simplify]: Extracting #4: cost 189 inf + 427 498.387 * * [simplify]: Extracting #5: cost 128 inf + 16032 498.395 * * [simplify]: Extracting #6: cost 29 inf + 57153 498.410 * * [simplify]: Extracting #7: cost 4 inf + 75884 498.427 * * [simplify]: Extracting #8: cost 0 inf + 78767 498.458 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 498.458 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 498.459 * * * * [progress]: [ 665 / 675 ] simplifiying candidate # 498.459 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 498.460 * * [simplify]: iters left: 6 (15 enodes) 498.468 * * [simplify]: iters left: 5 (65 enodes) 498.482 * * [simplify]: iters left: 4 (123 enodes) 498.509 * * [simplify]: iters left: 3 (368 enodes) 498.655 * * [simplify]: Extracting #0: cost 1 inf + 0 498.655 * * [simplify]: Extracting #1: cost 37 inf + 0 498.656 * * [simplify]: Extracting #2: cost 216 inf + 72 498.659 * * [simplify]: Extracting #3: cost 359 inf + 1294 498.668 * * [simplify]: Extracting #4: cost 227 inf + 27604 498.682 * * [simplify]: Extracting #5: cost 34 inf + 80469 498.697 * * [simplify]: Extracting #6: cost 0 inf + 90323 498.717 * * [simplify]: Extracting #7: cost 0 inf + 90139 498.733 * * [simplify]: Extracting #8: cost 0 inf + 90138 498.749 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 498.749 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 498.749 * * * * [progress]: [ 666 / 675 ] simplifiying candidate # 498.750 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 498.750 * * [simplify]: iters left: 6 (16 enodes) 498.756 * * [simplify]: iters left: 5 (67 enodes) 498.768 * * [simplify]: iters left: 4 (134 enodes) 498.809 * * [simplify]: iters left: 3 (413 enodes) 499.040 * * [simplify]: Extracting #0: cost 1 inf + 0 499.040 * * [simplify]: Extracting #1: cost 39 inf + 0 499.041 * * [simplify]: Extracting #2: cost 241 inf + 72 499.044 * * [simplify]: Extracting #3: cost 450 inf + 903 499.051 * * [simplify]: Extracting #4: cost 376 inf + 10375 499.070 * * [simplify]: Extracting #5: cost 157 inf + 67388 499.093 * * [simplify]: Extracting #6: cost 12 inf + 118840 499.124 * * [simplify]: Extracting #7: cost 0 inf + 121984 499.153 * * [simplify]: Extracting #8: cost 0 inf + 121983 499.176 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 499.176 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 499.176 * * * * [progress]: [ 667 / 675 ] simplifiying candidate # 499.177 * [simplify]: Simplifying (* 2 (* n PI)) 499.177 * * [simplify]: iters left: 4 (5 enodes) 499.178 * * [simplify]: iters left: 3 (19 enodes) 499.181 * * [simplify]: iters left: 2 (27 enodes) 499.185 * * [simplify]: iters left: 1 (32 enodes) 499.190 * * [simplify]: Extracting #0: cost 1 inf + 0 499.190 * * [simplify]: Extracting #1: cost 8 inf + 0 499.190 * * [simplify]: Extracting #2: cost 7 inf + 45 499.190 * * [simplify]: Extracting #3: cost 0 inf + 421 499.190 * [simplify]: Simplified to (* (* PI n) 2) 499.190 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 499.190 * * * * [progress]: [ 668 / 675 ] simplifiying candidate # 499.191 * [simplify]: Simplifying (* 2 (* n PI)) 499.191 * * [simplify]: iters left: 4 (5 enodes) 499.192 * * [simplify]: iters left: 3 (19 enodes) 499.195 * * [simplify]: iters left: 2 (27 enodes) 499.199 * * [simplify]: iters left: 1 (32 enodes) 499.204 * * [simplify]: Extracting #0: cost 1 inf + 0 499.204 * * [simplify]: Extracting #1: cost 8 inf + 0 499.204 * * [simplify]: Extracting #2: cost 7 inf + 45 499.205 * * [simplify]: Extracting #3: cost 0 inf + 421 499.205 * [simplify]: Simplified to (* (* PI n) 2) 499.205 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 499.205 * * * * [progress]: [ 669 / 675 ] simplifiying candidate # 499.206 * [simplify]: Simplifying (* 2 (* n PI)) 499.206 * * [simplify]: iters left: 4 (5 enodes) 499.209 * * [simplify]: iters left: 3 (19 enodes) 499.215 * * [simplify]: iters left: 2 (27 enodes) 499.223 * * [simplify]: iters left: 1 (32 enodes) 499.231 * * [simplify]: Extracting #0: cost 1 inf + 0 499.231 * * [simplify]: Extracting #1: cost 8 inf + 0 499.231 * * [simplify]: Extracting #2: cost 7 inf + 45 499.231 * * [simplify]: Extracting #3: cost 0 inf + 421 499.231 * [simplify]: Simplified to (* (* PI n) 2) 499.232 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 499.232 * * * * [progress]: [ 670 / 675 ] simplifiying candidate # 499.232 * [simplify]: Simplifying (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 499.233 * * [simplify]: iters left: 6 (45 enodes) 499.261 * * [simplify]: iters left: 5 (233 enodes) 499.335 * * [simplify]: Extracting #0: cost 1 inf + 0 499.335 * * [simplify]: Extracting #1: cost 20 inf + 0 499.335 * * [simplify]: Extracting #2: cost 93 inf + 0 499.336 * * [simplify]: Extracting #3: cost 179 inf + 4 499.338 * * [simplify]: Extracting #4: cost 228 inf + 991 499.341 * * [simplify]: Extracting #5: cost 191 inf + 10582 499.350 * * [simplify]: Extracting #6: cost 116 inf + 43417 499.377 * * [simplify]: Extracting #7: cost 30 inf + 109783 499.412 * * [simplify]: Extracting #8: cost 0 inf + 144004 499.433 * * [simplify]: Extracting #9: cost 0 inf + 143851 499.474 * [simplify]: Simplified to (+ (* -1/2 (* (pow (* (* k k) k) 1/4) (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/2)) (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))))) (fma (exp (* (+ (log n) (log (* 2 PI))) 1/2)) (pow (/ 1 k) 1/4) (fma (* (* (* (log n) (log n)) (exp (* (+ (log n) (log (* 2 PI))) 1/2))) (pow (pow k 7) 1/4)) 1/8 (* (pow (pow k 7) 1/4) (+ (* (* 1/8 (exp (* (+ (log n) (log (* 2 PI))) 1/2))) (* (log (* 2 PI)) (log (* 2 PI)))) (* (* 1/4 (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2))))))))) 499.474 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* -1/2 (* (pow (* (* k k) k) 1/4) (+ (* (exp (* (+ (log n) (log (* 2 PI))) 1/2)) (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2)))))) (fma (exp (* (+ (log n) (log (* 2 PI))) 1/2)) (pow (/ 1 k) 1/4) (fma (* (* (* (log n) (log n)) (exp (* (+ (log n) (log (* 2 PI))) 1/2))) (pow (pow k 7) 1/4)) 1/8 (* (pow (pow k 7) 1/4) (+ (* (* 1/8 (exp (* (+ (log n) (log (* 2 PI))) 1/2))) (* (log (* 2 PI)) (log (* 2 PI)))) (* (* 1/4 (log (* 2 PI))) (* (log n) (exp (* (+ (log n) (log (* 2 PI))) 1/2))))))))) (sqrt (sqrt k)))) 499.475 * * * * [progress]: [ 671 / 675 ] simplifiying candidate # 499.475 * [simplify]: Simplifying (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (/ 1 k) 1/4)) 499.475 * * [simplify]: iters left: 6 (19 enodes) 499.488 * * [simplify]: iters left: 5 (82 enodes) 499.513 * * [simplify]: iters left: 4 (156 enodes) 499.560 * * [simplify]: iters left: 3 (460 enodes) 499.798 * * [simplify]: Extracting #0: cost 1 inf + 0 499.799 * * [simplify]: Extracting #1: cost 23 inf + 0 499.799 * * [simplify]: Extracting #2: cost 127 inf + 0 499.801 * * [simplify]: Extracting #3: cost 310 inf + 8 499.806 * * [simplify]: Extracting #4: cost 371 inf + 10105 499.821 * * [simplify]: Extracting #5: cost 165 inf + 60944 499.839 * * [simplify]: Extracting #6: cost 11 inf + 122549 499.879 * * [simplify]: Extracting #7: cost 0 inf + 129881 499.921 * * [simplify]: Extracting #8: cost 0 inf + 129800 499.965 * [simplify]: Simplified to (* (sqrt (exp (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4)) 499.965 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (exp (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4)) (sqrt (sqrt k)))) 499.965 * * * * [progress]: [ 672 / 675 ] simplifiying candidate # 499.966 * [simplify]: Simplifying (- (* (sqrt +nan.0) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow k 2) (pow (sqrt +nan.0) 3))))))))) 499.966 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt (sqrt k)))) 499.966 * * * * [progress]: [ 673 / 675 ] simplifiying candidate # 499.966 * [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)))))))))))))))))))))) 499.966 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 499.967 * * * * [progress]: [ 674 / 675 ] simplifiying candidate # 499.967 * [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)))))))) 499.967 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 499.968 * * * * [progress]: [ 675 / 675 ] simplifiying candidate # 499.968 * [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)))))))))))) 499.968 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 499.969 * * * [progress]: adding candidates to table 509.680 * * [progress]: iteration 4 / 4 509.680 * * * [progress]: picking best candidate 509.725 * * * * [pick]: Picked # 509.725 * * * [progress]: localizing error 509.757 * * * [progress]: generating rewritten candidates 509.757 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 509.786 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 509.815 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 509.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 509.880 * * * [progress]: generating series expansions 509.880 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 509.881 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 509.881 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 509.881 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 509.881 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 509.881 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 509.881 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 509.881 * [taylor]: Taking taylor expansion of 1/4 in k 509.881 * [backup-simplify]: Simplify 1/4 into 1/4 509.881 * [taylor]: Taking taylor expansion of (- 1 k) in k 509.881 * [taylor]: Taking taylor expansion of 1 in k 509.881 * [backup-simplify]: Simplify 1 into 1 509.882 * [taylor]: Taking taylor expansion of k in k 509.882 * [backup-simplify]: Simplify 0 into 0 509.882 * [backup-simplify]: Simplify 1 into 1 509.882 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 509.882 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 509.882 * [taylor]: Taking taylor expansion of 2 in k 509.882 * [backup-simplify]: Simplify 2 into 2 509.882 * [taylor]: Taking taylor expansion of (* n PI) in k 509.882 * [taylor]: Taking taylor expansion of n in k 509.882 * [backup-simplify]: Simplify n into n 509.882 * [taylor]: Taking taylor expansion of PI in k 509.882 * [backup-simplify]: Simplify PI into PI 509.882 * [backup-simplify]: Simplify (* n PI) into (* n PI) 509.882 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 509.882 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 509.882 * [backup-simplify]: Simplify (- 0) into 0 509.883 * [backup-simplify]: Simplify (+ 1 0) into 1 509.883 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 509.883 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 509.883 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 509.883 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 509.883 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 509.884 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 509.884 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 509.884 * [taylor]: Taking taylor expansion of 1/4 in n 509.884 * [backup-simplify]: Simplify 1/4 into 1/4 509.884 * [taylor]: Taking taylor expansion of (- 1 k) in n 509.884 * [taylor]: Taking taylor expansion of 1 in n 509.884 * [backup-simplify]: Simplify 1 into 1 509.884 * [taylor]: Taking taylor expansion of k in n 509.884 * [backup-simplify]: Simplify k into k 509.884 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 509.884 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 509.884 * [taylor]: Taking taylor expansion of 2 in n 509.884 * [backup-simplify]: Simplify 2 into 2 509.884 * [taylor]: Taking taylor expansion of (* n PI) in n 509.884 * [taylor]: Taking taylor expansion of n in n 509.884 * [backup-simplify]: Simplify 0 into 0 509.884 * [backup-simplify]: Simplify 1 into 1 509.884 * [taylor]: Taking taylor expansion of PI in n 509.884 * [backup-simplify]: Simplify PI into PI 509.885 * [backup-simplify]: Simplify (* 0 PI) into 0 509.885 * [backup-simplify]: Simplify (* 2 0) into 0 509.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 509.888 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 509.889 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 509.889 * [backup-simplify]: Simplify (- k) into (- k) 509.889 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 509.889 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 509.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 509.892 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 509.893 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 509.893 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 509.893 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 509.893 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 509.893 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 509.893 * [taylor]: Taking taylor expansion of 1/4 in n 509.893 * [backup-simplify]: Simplify 1/4 into 1/4 509.893 * [taylor]: Taking taylor expansion of (- 1 k) in n 509.893 * [taylor]: Taking taylor expansion of 1 in n 509.893 * [backup-simplify]: Simplify 1 into 1 509.893 * [taylor]: Taking taylor expansion of k in n 509.893 * [backup-simplify]: Simplify k into k 509.893 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 509.893 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 509.893 * [taylor]: Taking taylor expansion of 2 in n 509.893 * [backup-simplify]: Simplify 2 into 2 509.893 * [taylor]: Taking taylor expansion of (* n PI) in n 509.893 * [taylor]: Taking taylor expansion of n in n 509.893 * [backup-simplify]: Simplify 0 into 0 509.893 * [backup-simplify]: Simplify 1 into 1 509.893 * [taylor]: Taking taylor expansion of PI in n 509.893 * [backup-simplify]: Simplify PI into PI 509.894 * [backup-simplify]: Simplify (* 0 PI) into 0 509.894 * [backup-simplify]: Simplify (* 2 0) into 0 509.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 509.897 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 509.898 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 509.898 * [backup-simplify]: Simplify (- k) into (- k) 509.899 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 509.899 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 509.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 509.902 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 509.903 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 509.903 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 509.903 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 509.903 * [taylor]: Taking taylor expansion of 1/4 in k 509.903 * [backup-simplify]: Simplify 1/4 into 1/4 509.903 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 509.903 * [taylor]: Taking taylor expansion of (- 1 k) in k 509.903 * [taylor]: Taking taylor expansion of 1 in k 509.903 * [backup-simplify]: Simplify 1 into 1 509.903 * [taylor]: Taking taylor expansion of k in k 509.903 * [backup-simplify]: Simplify 0 into 0 509.903 * [backup-simplify]: Simplify 1 into 1 509.903 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 509.903 * [taylor]: Taking taylor expansion of (log n) in k 509.903 * [taylor]: Taking taylor expansion of n in k 509.903 * [backup-simplify]: Simplify n into n 509.903 * [backup-simplify]: Simplify (log n) into (log n) 509.903 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 509.903 * [taylor]: Taking taylor expansion of (* 2 PI) in k 509.903 * [taylor]: Taking taylor expansion of 2 in k 509.904 * [backup-simplify]: Simplify 2 into 2 509.904 * [taylor]: Taking taylor expansion of PI in k 509.904 * [backup-simplify]: Simplify PI into PI 509.904 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 509.905 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 509.906 * [backup-simplify]: Simplify (- 0) into 0 509.906 * [backup-simplify]: Simplify (+ 1 0) into 1 509.907 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 509.908 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 509.909 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 509.910 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 509.911 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 509.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 509.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 509.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 509.915 * [backup-simplify]: Simplify (- 0) into 0 509.916 * [backup-simplify]: Simplify (+ 0 0) into 0 509.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 509.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 509.919 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 509.921 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 509.921 * [taylor]: Taking taylor expansion of 0 in k 509.921 * [backup-simplify]: Simplify 0 into 0 509.921 * [backup-simplify]: Simplify 0 into 0 509.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 509.922 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 509.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 509.925 * [backup-simplify]: Simplify (+ 0 0) into 0 509.925 * [backup-simplify]: Simplify (- 1) into -1 509.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 509.927 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 509.929 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 509.932 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 509.935 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 509.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 509.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 509.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 509.941 * [backup-simplify]: Simplify (- 0) into 0 509.941 * [backup-simplify]: Simplify (+ 0 0) into 0 509.942 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 509.943 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 509.945 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 509.947 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 509.947 * [taylor]: Taking taylor expansion of 0 in k 509.947 * [backup-simplify]: Simplify 0 into 0 509.947 * [backup-simplify]: Simplify 0 into 0 509.947 * [backup-simplify]: Simplify 0 into 0 509.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 509.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 509.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 509.962 * [backup-simplify]: Simplify (+ 0 0) into 0 509.962 * [backup-simplify]: Simplify (- 0) into 0 509.962 * [backup-simplify]: Simplify (+ 0 0) into 0 509.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 509.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 509.971 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 509.977 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 509.984 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 509.984 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 509.984 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 509.984 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 509.984 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 509.984 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 509.984 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 509.984 * [taylor]: Taking taylor expansion of 1/4 in k 509.984 * [backup-simplify]: Simplify 1/4 into 1/4 509.984 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 509.984 * [taylor]: Taking taylor expansion of 1 in k 509.984 * [backup-simplify]: Simplify 1 into 1 509.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k 509.984 * [taylor]: Taking taylor expansion of k in k 509.984 * [backup-simplify]: Simplify 0 into 0 509.984 * [backup-simplify]: Simplify 1 into 1 509.985 * [backup-simplify]: Simplify (/ 1 1) into 1 509.985 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 509.985 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 509.985 * [taylor]: Taking taylor expansion of 2 in k 509.985 * [backup-simplify]: Simplify 2 into 2 509.985 * [taylor]: Taking taylor expansion of (/ PI n) in k 509.985 * [taylor]: Taking taylor expansion of PI in k 509.985 * [backup-simplify]: Simplify PI into PI 509.985 * [taylor]: Taking taylor expansion of n in k 509.985 * [backup-simplify]: Simplify n into n 509.985 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 509.985 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 509.985 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 509.985 * [backup-simplify]: Simplify (- 1) into -1 509.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 509.986 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 509.986 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 509.986 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 509.986 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 509.986 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 509.986 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 509.986 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 509.986 * [taylor]: Taking taylor expansion of 1/4 in n 509.986 * [backup-simplify]: Simplify 1/4 into 1/4 509.986 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 509.986 * [taylor]: Taking taylor expansion of 1 in n 509.986 * [backup-simplify]: Simplify 1 into 1 509.986 * [taylor]: Taking taylor expansion of (/ 1 k) in n 509.986 * [taylor]: Taking taylor expansion of k in n 509.986 * [backup-simplify]: Simplify k into k 509.986 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 509.986 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 509.986 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 509.986 * [taylor]: Taking taylor expansion of 2 in n 509.986 * [backup-simplify]: Simplify 2 into 2 509.986 * [taylor]: Taking taylor expansion of (/ PI n) in n 509.986 * [taylor]: Taking taylor expansion of PI in n 509.986 * [backup-simplify]: Simplify PI into PI 509.986 * [taylor]: Taking taylor expansion of n in n 509.986 * [backup-simplify]: Simplify 0 into 0 509.986 * [backup-simplify]: Simplify 1 into 1 509.987 * [backup-simplify]: Simplify (/ PI 1) into PI 509.987 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 509.988 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 509.988 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 509.988 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 509.988 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 509.989 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 509.989 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 509.990 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 509.990 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 509.990 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 509.990 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 509.990 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 509.990 * [taylor]: Taking taylor expansion of 1/4 in n 509.990 * [backup-simplify]: Simplify 1/4 into 1/4 509.990 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 509.990 * [taylor]: Taking taylor expansion of 1 in n 509.990 * [backup-simplify]: Simplify 1 into 1 509.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 509.990 * [taylor]: Taking taylor expansion of k in n 509.990 * [backup-simplify]: Simplify k into k 509.990 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 509.990 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 509.990 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 509.990 * [taylor]: Taking taylor expansion of 2 in n 509.990 * [backup-simplify]: Simplify 2 into 2 509.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 509.990 * [taylor]: Taking taylor expansion of PI in n 509.991 * [backup-simplify]: Simplify PI into PI 509.991 * [taylor]: Taking taylor expansion of n in n 509.991 * [backup-simplify]: Simplify 0 into 0 509.991 * [backup-simplify]: Simplify 1 into 1 509.991 * [backup-simplify]: Simplify (/ PI 1) into PI 509.991 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 509.992 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 509.992 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 509.992 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 509.992 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 509.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 509.993 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 509.994 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 509.994 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 509.994 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 509.994 * [taylor]: Taking taylor expansion of 1/4 in k 509.994 * [backup-simplify]: Simplify 1/4 into 1/4 509.994 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 509.994 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 509.994 * [taylor]: Taking taylor expansion of 1 in k 509.994 * [backup-simplify]: Simplify 1 into 1 509.994 * [taylor]: Taking taylor expansion of (/ 1 k) in k 509.994 * [taylor]: Taking taylor expansion of k in k 509.994 * [backup-simplify]: Simplify 0 into 0 509.994 * [backup-simplify]: Simplify 1 into 1 509.995 * [backup-simplify]: Simplify (/ 1 1) into 1 509.995 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 509.995 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 509.995 * [taylor]: Taking taylor expansion of (* 2 PI) in k 509.995 * [taylor]: Taking taylor expansion of 2 in k 509.995 * [backup-simplify]: Simplify 2 into 2 509.995 * [taylor]: Taking taylor expansion of PI in k 509.995 * [backup-simplify]: Simplify PI into PI 509.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 509.996 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 509.996 * [taylor]: Taking taylor expansion of (log n) in k 509.996 * [taylor]: Taking taylor expansion of n in k 509.996 * [backup-simplify]: Simplify n into n 509.996 * [backup-simplify]: Simplify (log n) into (log n) 509.996 * [backup-simplify]: Simplify (- 1) into -1 509.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 509.997 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 509.998 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 509.998 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 509.999 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 509.999 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 510.000 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 510.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.001 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 510.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 510.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 510.002 * [backup-simplify]: Simplify (- 0) into 0 510.003 * [backup-simplify]: Simplify (+ 0 0) into 0 510.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 510.004 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.005 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 510.006 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 510.006 * [taylor]: Taking taylor expansion of 0 in k 510.006 * [backup-simplify]: Simplify 0 into 0 510.006 * [backup-simplify]: Simplify 0 into 0 510.006 * [backup-simplify]: Simplify 0 into 0 510.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 510.009 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 510.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.009 * [backup-simplify]: Simplify (- 0) into 0 510.009 * [backup-simplify]: Simplify (+ 0 0) into 0 510.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 510.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.012 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 510.013 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 510.013 * [taylor]: Taking taylor expansion of 0 in k 510.013 * [backup-simplify]: Simplify 0 into 0 510.013 * [backup-simplify]: Simplify 0 into 0 510.013 * [backup-simplify]: Simplify 0 into 0 510.013 * [backup-simplify]: Simplify 0 into 0 510.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.018 * [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 0 510.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.018 * [backup-simplify]: Simplify (- 0) into 0 510.018 * [backup-simplify]: Simplify (+ 0 0) into 0 510.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 510.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.021 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 510.023 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 510.023 * [taylor]: Taking taylor expansion of 0 in k 510.023 * [backup-simplify]: Simplify 0 into 0 510.023 * [backup-simplify]: Simplify 0 into 0 510.023 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 510.024 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 510.024 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 510.024 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 510.024 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 510.024 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 510.024 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 510.024 * [taylor]: Taking taylor expansion of 1/4 in k 510.024 * [backup-simplify]: Simplify 1/4 into 1/4 510.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 510.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 510.024 * [taylor]: Taking taylor expansion of k in k 510.024 * [backup-simplify]: Simplify 0 into 0 510.024 * [backup-simplify]: Simplify 1 into 1 510.024 * [backup-simplify]: Simplify (/ 1 1) into 1 510.024 * [taylor]: Taking taylor expansion of 1 in k 510.024 * [backup-simplify]: Simplify 1 into 1 510.024 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 510.024 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 510.024 * [taylor]: Taking taylor expansion of -2 in k 510.024 * [backup-simplify]: Simplify -2 into -2 510.024 * [taylor]: Taking taylor expansion of (/ PI n) in k 510.024 * [taylor]: Taking taylor expansion of PI in k 510.024 * [backup-simplify]: Simplify PI into PI 510.024 * [taylor]: Taking taylor expansion of n in k 510.025 * [backup-simplify]: Simplify n into n 510.025 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 510.025 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 510.025 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 510.025 * [backup-simplify]: Simplify (+ 1 0) into 1 510.025 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 510.025 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 510.025 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 510.025 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 510.025 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 510.025 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 510.025 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 510.026 * [taylor]: Taking taylor expansion of 1/4 in n 510.026 * [backup-simplify]: Simplify 1/4 into 1/4 510.026 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 510.026 * [taylor]: Taking taylor expansion of (/ 1 k) in n 510.026 * [taylor]: Taking taylor expansion of k in n 510.026 * [backup-simplify]: Simplify k into k 510.026 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 510.026 * [taylor]: Taking taylor expansion of 1 in n 510.026 * [backup-simplify]: Simplify 1 into 1 510.026 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 510.026 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.026 * [taylor]: Taking taylor expansion of -2 in n 510.026 * [backup-simplify]: Simplify -2 into -2 510.026 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.026 * [taylor]: Taking taylor expansion of PI in n 510.026 * [backup-simplify]: Simplify PI into PI 510.026 * [taylor]: Taking taylor expansion of n in n 510.026 * [backup-simplify]: Simplify 0 into 0 510.026 * [backup-simplify]: Simplify 1 into 1 510.026 * [backup-simplify]: Simplify (/ PI 1) into PI 510.026 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.027 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 510.027 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 510.027 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 510.028 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.029 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 510.029 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.029 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 510.029 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 510.029 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 510.029 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 510.029 * [taylor]: Taking taylor expansion of 1/4 in n 510.029 * [backup-simplify]: Simplify 1/4 into 1/4 510.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 510.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 510.029 * [taylor]: Taking taylor expansion of k in n 510.029 * [backup-simplify]: Simplify k into k 510.030 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 510.030 * [taylor]: Taking taylor expansion of 1 in n 510.030 * [backup-simplify]: Simplify 1 into 1 510.030 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 510.030 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.030 * [taylor]: Taking taylor expansion of -2 in n 510.030 * [backup-simplify]: Simplify -2 into -2 510.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.030 * [taylor]: Taking taylor expansion of PI in n 510.030 * [backup-simplify]: Simplify PI into PI 510.030 * [taylor]: Taking taylor expansion of n in n 510.030 * [backup-simplify]: Simplify 0 into 0 510.030 * [backup-simplify]: Simplify 1 into 1 510.030 * [backup-simplify]: Simplify (/ PI 1) into PI 510.030 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.031 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 510.031 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 510.031 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 510.032 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.033 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 510.033 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.033 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 510.033 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 510.033 * [taylor]: Taking taylor expansion of 1/4 in k 510.033 * [backup-simplify]: Simplify 1/4 into 1/4 510.033 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 510.033 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 510.033 * [taylor]: Taking taylor expansion of (/ 1 k) in k 510.033 * [taylor]: Taking taylor expansion of k in k 510.033 * [backup-simplify]: Simplify 0 into 0 510.033 * [backup-simplify]: Simplify 1 into 1 510.034 * [backup-simplify]: Simplify (/ 1 1) into 1 510.034 * [taylor]: Taking taylor expansion of 1 in k 510.034 * [backup-simplify]: Simplify 1 into 1 510.034 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 510.034 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 510.034 * [taylor]: Taking taylor expansion of (* -2 PI) in k 510.034 * [taylor]: Taking taylor expansion of -2 in k 510.034 * [backup-simplify]: Simplify -2 into -2 510.034 * [taylor]: Taking taylor expansion of PI in k 510.034 * [backup-simplify]: Simplify PI into PI 510.034 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.035 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 510.035 * [taylor]: Taking taylor expansion of (log n) in k 510.035 * [taylor]: Taking taylor expansion of n in k 510.035 * [backup-simplify]: Simplify n into n 510.035 * [backup-simplify]: Simplify (log n) into (log n) 510.035 * [backup-simplify]: Simplify (+ 1 0) into 1 510.035 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 510.036 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 510.036 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 510.037 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 510.038 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.039 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.040 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 510.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 510.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 510.043 * [backup-simplify]: Simplify (+ 0 0) into 0 510.043 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 510.045 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.046 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 510.048 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 510.048 * [taylor]: Taking taylor expansion of 0 in k 510.048 * [backup-simplify]: Simplify 0 into 0 510.048 * [backup-simplify]: Simplify 0 into 0 510.048 * [backup-simplify]: Simplify 0 into 0 510.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.050 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 510.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 510.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.055 * [backup-simplify]: Simplify (+ 0 0) into 0 510.056 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 510.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.059 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 510.062 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 510.062 * [taylor]: Taking taylor expansion of 0 in k 510.062 * [backup-simplify]: Simplify 0 into 0 510.062 * [backup-simplify]: Simplify 0 into 0 510.062 * [backup-simplify]: Simplify 0 into 0 510.062 * [backup-simplify]: Simplify 0 into 0 510.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.064 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.077 * [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 0 510.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.078 * [backup-simplify]: Simplify (+ 0 0) into 0 510.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 510.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.083 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 510.086 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 510.086 * [taylor]: Taking taylor expansion of 0 in k 510.086 * [backup-simplify]: Simplify 0 into 0 510.086 * [backup-simplify]: Simplify 0 into 0 510.088 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 510.088 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 510.088 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 510.088 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 510.088 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 510.088 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 510.088 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 510.089 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 510.089 * [taylor]: Taking taylor expansion of 1/4 in k 510.089 * [backup-simplify]: Simplify 1/4 into 1/4 510.089 * [taylor]: Taking taylor expansion of (- 1 k) in k 510.089 * [taylor]: Taking taylor expansion of 1 in k 510.089 * [backup-simplify]: Simplify 1 into 1 510.089 * [taylor]: Taking taylor expansion of k in k 510.089 * [backup-simplify]: Simplify 0 into 0 510.089 * [backup-simplify]: Simplify 1 into 1 510.089 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 510.089 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 510.089 * [taylor]: Taking taylor expansion of 2 in k 510.089 * [backup-simplify]: Simplify 2 into 2 510.089 * [taylor]: Taking taylor expansion of (* n PI) in k 510.089 * [taylor]: Taking taylor expansion of n in k 510.089 * [backup-simplify]: Simplify n into n 510.089 * [taylor]: Taking taylor expansion of PI in k 510.089 * [backup-simplify]: Simplify PI into PI 510.089 * [backup-simplify]: Simplify (* n PI) into (* n PI) 510.089 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 510.089 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 510.090 * [backup-simplify]: Simplify (- 0) into 0 510.090 * [backup-simplify]: Simplify (+ 1 0) into 1 510.091 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 510.091 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 510.091 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 510.091 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 510.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 510.091 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 510.091 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 510.091 * [taylor]: Taking taylor expansion of 1/4 in n 510.091 * [backup-simplify]: Simplify 1/4 into 1/4 510.091 * [taylor]: Taking taylor expansion of (- 1 k) in n 510.091 * [taylor]: Taking taylor expansion of 1 in n 510.091 * [backup-simplify]: Simplify 1 into 1 510.091 * [taylor]: Taking taylor expansion of k in n 510.091 * [backup-simplify]: Simplify k into k 510.091 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 510.091 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 510.091 * [taylor]: Taking taylor expansion of 2 in n 510.091 * [backup-simplify]: Simplify 2 into 2 510.091 * [taylor]: Taking taylor expansion of (* n PI) in n 510.091 * [taylor]: Taking taylor expansion of n in n 510.091 * [backup-simplify]: Simplify 0 into 0 510.091 * [backup-simplify]: Simplify 1 into 1 510.091 * [taylor]: Taking taylor expansion of PI in n 510.091 * [backup-simplify]: Simplify PI into PI 510.092 * [backup-simplify]: Simplify (* 0 PI) into 0 510.092 * [backup-simplify]: Simplify (* 2 0) into 0 510.094 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 510.095 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 510.097 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 510.097 * [backup-simplify]: Simplify (- k) into (- k) 510.097 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 510.097 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 510.098 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 510.099 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 510.100 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 510.100 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 510.100 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 510.100 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 510.100 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 510.100 * [taylor]: Taking taylor expansion of 1/4 in n 510.100 * [backup-simplify]: Simplify 1/4 into 1/4 510.100 * [taylor]: Taking taylor expansion of (- 1 k) in n 510.100 * [taylor]: Taking taylor expansion of 1 in n 510.101 * [backup-simplify]: Simplify 1 into 1 510.101 * [taylor]: Taking taylor expansion of k in n 510.101 * [backup-simplify]: Simplify k into k 510.101 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 510.101 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 510.101 * [taylor]: Taking taylor expansion of 2 in n 510.101 * [backup-simplify]: Simplify 2 into 2 510.101 * [taylor]: Taking taylor expansion of (* n PI) in n 510.101 * [taylor]: Taking taylor expansion of n in n 510.101 * [backup-simplify]: Simplify 0 into 0 510.101 * [backup-simplify]: Simplify 1 into 1 510.101 * [taylor]: Taking taylor expansion of PI in n 510.101 * [backup-simplify]: Simplify PI into PI 510.101 * [backup-simplify]: Simplify (* 0 PI) into 0 510.102 * [backup-simplify]: Simplify (* 2 0) into 0 510.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 510.105 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 510.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 510.106 * [backup-simplify]: Simplify (- k) into (- k) 510.106 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 510.106 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 510.107 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 510.108 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 510.109 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 510.109 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 510.109 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 510.109 * [taylor]: Taking taylor expansion of 1/4 in k 510.109 * [backup-simplify]: Simplify 1/4 into 1/4 510.109 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 510.109 * [taylor]: Taking taylor expansion of (- 1 k) in k 510.109 * [taylor]: Taking taylor expansion of 1 in k 510.109 * [backup-simplify]: Simplify 1 into 1 510.109 * [taylor]: Taking taylor expansion of k in k 510.110 * [backup-simplify]: Simplify 0 into 0 510.110 * [backup-simplify]: Simplify 1 into 1 510.110 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 510.110 * [taylor]: Taking taylor expansion of (log n) in k 510.110 * [taylor]: Taking taylor expansion of n in k 510.110 * [backup-simplify]: Simplify n into n 510.110 * [backup-simplify]: Simplify (log n) into (log n) 510.110 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 510.110 * [taylor]: Taking taylor expansion of (* 2 PI) in k 510.110 * [taylor]: Taking taylor expansion of 2 in k 510.110 * [backup-simplify]: Simplify 2 into 2 510.110 * [taylor]: Taking taylor expansion of PI in k 510.110 * [backup-simplify]: Simplify PI into PI 510.110 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.111 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 510.112 * [backup-simplify]: Simplify (- 0) into 0 510.112 * [backup-simplify]: Simplify (+ 1 0) into 1 510.113 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 510.114 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 510.115 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 510.116 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 510.117 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 510.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 510.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 510.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 510.121 * [backup-simplify]: Simplify (- 0) into 0 510.121 * [backup-simplify]: Simplify (+ 0 0) into 0 510.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 510.123 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 510.124 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 510.126 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 510.126 * [taylor]: Taking taylor expansion of 0 in k 510.126 * [backup-simplify]: Simplify 0 into 0 510.126 * [backup-simplify]: Simplify 0 into 0 510.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 510.128 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 510.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 510.130 * [backup-simplify]: Simplify (+ 0 0) into 0 510.130 * [backup-simplify]: Simplify (- 1) into -1 510.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 510.132 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 510.134 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 510.136 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 510.138 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 510.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 510.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 510.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 510.142 * [backup-simplify]: Simplify (- 0) into 0 510.142 * [backup-simplify]: Simplify (+ 0 0) into 0 510.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 510.143 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 510.144 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 510.145 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 510.146 * [taylor]: Taking taylor expansion of 0 in k 510.146 * [backup-simplify]: Simplify 0 into 0 510.146 * [backup-simplify]: Simplify 0 into 0 510.146 * [backup-simplify]: Simplify 0 into 0 510.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 510.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 510.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 510.149 * [backup-simplify]: Simplify (+ 0 0) into 0 510.150 * [backup-simplify]: Simplify (- 0) into 0 510.150 * [backup-simplify]: Simplify (+ 0 0) into 0 510.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 510.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 510.155 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 510.158 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 510.163 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 510.164 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 510.164 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 510.164 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 510.164 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 510.164 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 510.164 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 510.164 * [taylor]: Taking taylor expansion of 1/4 in k 510.164 * [backup-simplify]: Simplify 1/4 into 1/4 510.164 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 510.164 * [taylor]: Taking taylor expansion of 1 in k 510.164 * [backup-simplify]: Simplify 1 into 1 510.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 510.164 * [taylor]: Taking taylor expansion of k in k 510.164 * [backup-simplify]: Simplify 0 into 0 510.164 * [backup-simplify]: Simplify 1 into 1 510.164 * [backup-simplify]: Simplify (/ 1 1) into 1 510.164 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 510.164 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 510.164 * [taylor]: Taking taylor expansion of 2 in k 510.164 * [backup-simplify]: Simplify 2 into 2 510.164 * [taylor]: Taking taylor expansion of (/ PI n) in k 510.164 * [taylor]: Taking taylor expansion of PI in k 510.164 * [backup-simplify]: Simplify PI into PI 510.164 * [taylor]: Taking taylor expansion of n in k 510.164 * [backup-simplify]: Simplify n into n 510.164 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 510.164 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 510.165 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 510.165 * [backup-simplify]: Simplify (- 1) into -1 510.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 510.165 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 510.165 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 510.166 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 510.166 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 510.166 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 510.166 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 510.166 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 510.166 * [taylor]: Taking taylor expansion of 1/4 in n 510.166 * [backup-simplify]: Simplify 1/4 into 1/4 510.166 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 510.166 * [taylor]: Taking taylor expansion of 1 in n 510.166 * [backup-simplify]: Simplify 1 into 1 510.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n 510.166 * [taylor]: Taking taylor expansion of k in n 510.166 * [backup-simplify]: Simplify k into k 510.166 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 510.166 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 510.166 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 510.166 * [taylor]: Taking taylor expansion of 2 in n 510.166 * [backup-simplify]: Simplify 2 into 2 510.166 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.166 * [taylor]: Taking taylor expansion of PI in n 510.166 * [backup-simplify]: Simplify PI into PI 510.166 * [taylor]: Taking taylor expansion of n in n 510.166 * [backup-simplify]: Simplify 0 into 0 510.166 * [backup-simplify]: Simplify 1 into 1 510.166 * [backup-simplify]: Simplify (/ PI 1) into PI 510.167 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.167 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 510.167 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 510.167 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 510.167 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 510.168 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.169 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 510.170 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 510.170 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 510.170 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 510.170 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 510.170 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 510.170 * [taylor]: Taking taylor expansion of 1/4 in n 510.170 * [backup-simplify]: Simplify 1/4 into 1/4 510.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 510.170 * [taylor]: Taking taylor expansion of 1 in n 510.170 * [backup-simplify]: Simplify 1 into 1 510.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 510.170 * [taylor]: Taking taylor expansion of k in n 510.170 * [backup-simplify]: Simplify k into k 510.170 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 510.170 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 510.170 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 510.170 * [taylor]: Taking taylor expansion of 2 in n 510.170 * [backup-simplify]: Simplify 2 into 2 510.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.170 * [taylor]: Taking taylor expansion of PI in n 510.170 * [backup-simplify]: Simplify PI into PI 510.170 * [taylor]: Taking taylor expansion of n in n 510.170 * [backup-simplify]: Simplify 0 into 0 510.170 * [backup-simplify]: Simplify 1 into 1 510.171 * [backup-simplify]: Simplify (/ PI 1) into PI 510.171 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.171 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 510.172 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 510.172 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 510.172 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 510.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.173 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 510.174 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 510.174 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 510.174 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 510.174 * [taylor]: Taking taylor expansion of 1/4 in k 510.174 * [backup-simplify]: Simplify 1/4 into 1/4 510.174 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 510.174 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 510.174 * [taylor]: Taking taylor expansion of 1 in k 510.174 * [backup-simplify]: Simplify 1 into 1 510.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 510.174 * [taylor]: Taking taylor expansion of k in k 510.174 * [backup-simplify]: Simplify 0 into 0 510.174 * [backup-simplify]: Simplify 1 into 1 510.174 * [backup-simplify]: Simplify (/ 1 1) into 1 510.174 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 510.174 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 510.174 * [taylor]: Taking taylor expansion of (* 2 PI) in k 510.174 * [taylor]: Taking taylor expansion of 2 in k 510.174 * [backup-simplify]: Simplify 2 into 2 510.174 * [taylor]: Taking taylor expansion of PI in k 510.174 * [backup-simplify]: Simplify PI into PI 510.175 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.175 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 510.175 * [taylor]: Taking taylor expansion of (log n) in k 510.175 * [taylor]: Taking taylor expansion of n in k 510.175 * [backup-simplify]: Simplify n into n 510.175 * [backup-simplify]: Simplify (log n) into (log n) 510.176 * [backup-simplify]: Simplify (- 1) into -1 510.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 510.176 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 510.177 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 510.177 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 510.178 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 510.178 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 510.179 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 510.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 510.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 510.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 510.181 * [backup-simplify]: Simplify (- 0) into 0 510.182 * [backup-simplify]: Simplify (+ 0 0) into 0 510.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 510.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.183 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 510.188 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 510.188 * [taylor]: Taking taylor expansion of 0 in k 510.188 * [backup-simplify]: Simplify 0 into 0 510.188 * [backup-simplify]: Simplify 0 into 0 510.188 * [backup-simplify]: Simplify 0 into 0 510.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 510.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 510.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.192 * [backup-simplify]: Simplify (- 0) into 0 510.192 * [backup-simplify]: Simplify (+ 0 0) into 0 510.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 510.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.194 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 510.196 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 510.196 * [taylor]: Taking taylor expansion of 0 in k 510.196 * [backup-simplify]: Simplify 0 into 0 510.196 * [backup-simplify]: Simplify 0 into 0 510.196 * [backup-simplify]: Simplify 0 into 0 510.196 * [backup-simplify]: Simplify 0 into 0 510.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.200 * [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 0 510.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.200 * [backup-simplify]: Simplify (- 0) into 0 510.201 * [backup-simplify]: Simplify (+ 0 0) into 0 510.201 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 510.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 510.204 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 510.207 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 510.207 * [taylor]: Taking taylor expansion of 0 in k 510.207 * [backup-simplify]: Simplify 0 into 0 510.207 * [backup-simplify]: Simplify 0 into 0 510.209 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 510.209 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 510.209 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 510.209 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 510.209 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 510.209 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 510.209 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 510.209 * [taylor]: Taking taylor expansion of 1/4 in k 510.209 * [backup-simplify]: Simplify 1/4 into 1/4 510.209 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 510.209 * [taylor]: Taking taylor expansion of (/ 1 k) in k 510.210 * [taylor]: Taking taylor expansion of k in k 510.210 * [backup-simplify]: Simplify 0 into 0 510.210 * [backup-simplify]: Simplify 1 into 1 510.210 * [backup-simplify]: Simplify (/ 1 1) into 1 510.210 * [taylor]: Taking taylor expansion of 1 in k 510.210 * [backup-simplify]: Simplify 1 into 1 510.210 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 510.210 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 510.210 * [taylor]: Taking taylor expansion of -2 in k 510.210 * [backup-simplify]: Simplify -2 into -2 510.210 * [taylor]: Taking taylor expansion of (/ PI n) in k 510.210 * [taylor]: Taking taylor expansion of PI in k 510.210 * [backup-simplify]: Simplify PI into PI 510.210 * [taylor]: Taking taylor expansion of n in k 510.210 * [backup-simplify]: Simplify n into n 510.210 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 510.210 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 510.210 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 510.211 * [backup-simplify]: Simplify (+ 1 0) into 1 510.211 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 510.211 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 510.212 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 510.212 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 510.212 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 510.212 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 510.212 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 510.212 * [taylor]: Taking taylor expansion of 1/4 in n 510.212 * [backup-simplify]: Simplify 1/4 into 1/4 510.212 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 510.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n 510.212 * [taylor]: Taking taylor expansion of k in n 510.212 * [backup-simplify]: Simplify k into k 510.212 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 510.212 * [taylor]: Taking taylor expansion of 1 in n 510.212 * [backup-simplify]: Simplify 1 into 1 510.212 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 510.212 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.212 * [taylor]: Taking taylor expansion of -2 in n 510.212 * [backup-simplify]: Simplify -2 into -2 510.212 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.212 * [taylor]: Taking taylor expansion of PI in n 510.212 * [backup-simplify]: Simplify PI into PI 510.212 * [taylor]: Taking taylor expansion of n in n 510.212 * [backup-simplify]: Simplify 0 into 0 510.212 * [backup-simplify]: Simplify 1 into 1 510.213 * [backup-simplify]: Simplify (/ PI 1) into PI 510.213 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.214 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 510.214 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 510.214 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 510.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.217 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 510.218 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.218 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 510.218 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 510.218 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 510.218 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 510.218 * [taylor]: Taking taylor expansion of 1/4 in n 510.218 * [backup-simplify]: Simplify 1/4 into 1/4 510.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 510.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 510.218 * [taylor]: Taking taylor expansion of k in n 510.218 * [backup-simplify]: Simplify k into k 510.218 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 510.218 * [taylor]: Taking taylor expansion of 1 in n 510.218 * [backup-simplify]: Simplify 1 into 1 510.218 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 510.218 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.218 * [taylor]: Taking taylor expansion of -2 in n 510.218 * [backup-simplify]: Simplify -2 into -2 510.218 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.218 * [taylor]: Taking taylor expansion of PI in n 510.218 * [backup-simplify]: Simplify PI into PI 510.218 * [taylor]: Taking taylor expansion of n in n 510.218 * [backup-simplify]: Simplify 0 into 0 510.218 * [backup-simplify]: Simplify 1 into 1 510.219 * [backup-simplify]: Simplify (/ PI 1) into PI 510.219 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.220 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 510.220 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 510.220 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 510.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.223 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 510.224 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.224 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 510.224 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 510.224 * [taylor]: Taking taylor expansion of 1/4 in k 510.224 * [backup-simplify]: Simplify 1/4 into 1/4 510.224 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 510.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 510.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 510.224 * [taylor]: Taking taylor expansion of k in k 510.224 * [backup-simplify]: Simplify 0 into 0 510.224 * [backup-simplify]: Simplify 1 into 1 510.224 * [backup-simplify]: Simplify (/ 1 1) into 1 510.224 * [taylor]: Taking taylor expansion of 1 in k 510.225 * [backup-simplify]: Simplify 1 into 1 510.225 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 510.225 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 510.225 * [taylor]: Taking taylor expansion of (* -2 PI) in k 510.225 * [taylor]: Taking taylor expansion of -2 in k 510.225 * [backup-simplify]: Simplify -2 into -2 510.225 * [taylor]: Taking taylor expansion of PI in k 510.225 * [backup-simplify]: Simplify PI into PI 510.225 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.226 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 510.226 * [taylor]: Taking taylor expansion of (log n) in k 510.226 * [taylor]: Taking taylor expansion of n in k 510.226 * [backup-simplify]: Simplify n into n 510.226 * [backup-simplify]: Simplify (log n) into (log n) 510.227 * [backup-simplify]: Simplify (+ 1 0) into 1 510.227 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 510.228 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 510.229 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 510.230 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 510.231 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.232 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 510.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.234 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 510.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 510.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 510.236 * [backup-simplify]: Simplify (+ 0 0) into 0 510.237 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 510.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.240 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 510.242 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 510.242 * [taylor]: Taking taylor expansion of 0 in k 510.242 * [backup-simplify]: Simplify 0 into 0 510.242 * [backup-simplify]: Simplify 0 into 0 510.242 * [backup-simplify]: Simplify 0 into 0 510.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.244 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 510.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 510.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.248 * [backup-simplify]: Simplify (+ 0 0) into 0 510.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 510.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.252 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 510.254 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 510.254 * [taylor]: Taking taylor expansion of 0 in k 510.254 * [backup-simplify]: Simplify 0 into 0 510.254 * [backup-simplify]: Simplify 0 into 0 510.254 * [backup-simplify]: Simplify 0 into 0 510.254 * [backup-simplify]: Simplify 0 into 0 510.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.256 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.262 * [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 0 510.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 510.263 * [backup-simplify]: Simplify (+ 0 0) into 0 510.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 510.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 510.268 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 510.270 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 510.270 * [taylor]: Taking taylor expansion of 0 in k 510.271 * [backup-simplify]: Simplify 0 into 0 510.271 * [backup-simplify]: Simplify 0 into 0 510.272 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 510.272 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 510.272 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 510.272 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 510.272 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 510.272 * [taylor]: Taking taylor expansion of 2 in n 510.272 * [backup-simplify]: Simplify 2 into 2 510.272 * [taylor]: Taking taylor expansion of (* n PI) in n 510.272 * [taylor]: Taking taylor expansion of n in n 510.272 * [backup-simplify]: Simplify 0 into 0 510.272 * [backup-simplify]: Simplify 1 into 1 510.272 * [taylor]: Taking taylor expansion of PI in n 510.273 * [backup-simplify]: Simplify PI into PI 510.273 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 510.273 * [taylor]: Taking taylor expansion of 2 in n 510.273 * [backup-simplify]: Simplify 2 into 2 510.273 * [taylor]: Taking taylor expansion of (* n PI) in n 510.273 * [taylor]: Taking taylor expansion of n in n 510.273 * [backup-simplify]: Simplify 0 into 0 510.273 * [backup-simplify]: Simplify 1 into 1 510.273 * [taylor]: Taking taylor expansion of PI in n 510.273 * [backup-simplify]: Simplify PI into PI 510.273 * [backup-simplify]: Simplify (* 0 PI) into 0 510.274 * [backup-simplify]: Simplify (* 2 0) into 0 510.274 * [backup-simplify]: Simplify 0 into 0 510.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 510.277 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 510.277 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 510.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 510.279 * [backup-simplify]: Simplify 0 into 0 510.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 510.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 510.281 * [backup-simplify]: Simplify 0 into 0 510.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 510.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 510.284 * [backup-simplify]: Simplify 0 into 0 510.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 510.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 510.287 * [backup-simplify]: Simplify 0 into 0 510.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 510.290 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 510.290 * [backup-simplify]: Simplify 0 into 0 510.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 510.294 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 510.294 * [backup-simplify]: Simplify 0 into 0 510.294 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 510.295 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 510.295 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 510.295 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 510.295 * [taylor]: Taking taylor expansion of 2 in n 510.295 * [backup-simplify]: Simplify 2 into 2 510.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.295 * [taylor]: Taking taylor expansion of PI in n 510.295 * [backup-simplify]: Simplify PI into PI 510.295 * [taylor]: Taking taylor expansion of n in n 510.295 * [backup-simplify]: Simplify 0 into 0 510.295 * [backup-simplify]: Simplify 1 into 1 510.296 * [backup-simplify]: Simplify (/ PI 1) into PI 510.296 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 510.296 * [taylor]: Taking taylor expansion of 2 in n 510.296 * [backup-simplify]: Simplify 2 into 2 510.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.296 * [taylor]: Taking taylor expansion of PI in n 510.296 * [backup-simplify]: Simplify PI into PI 510.296 * [taylor]: Taking taylor expansion of n in n 510.296 * [backup-simplify]: Simplify 0 into 0 510.296 * [backup-simplify]: Simplify 1 into 1 510.297 * [backup-simplify]: Simplify (/ PI 1) into PI 510.297 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.298 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.299 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 510.300 * [backup-simplify]: Simplify 0 into 0 510.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 510.302 * [backup-simplify]: Simplify 0 into 0 510.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.304 * [backup-simplify]: Simplify 0 into 0 510.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 510.306 * [backup-simplify]: Simplify 0 into 0 510.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 510.309 * [backup-simplify]: Simplify 0 into 0 510.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 510.311 * [backup-simplify]: Simplify 0 into 0 510.312 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 510.312 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 510.312 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 510.312 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.313 * [taylor]: Taking taylor expansion of -2 in n 510.313 * [backup-simplify]: Simplify -2 into -2 510.313 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.313 * [taylor]: Taking taylor expansion of PI in n 510.313 * [backup-simplify]: Simplify PI into PI 510.313 * [taylor]: Taking taylor expansion of n in n 510.313 * [backup-simplify]: Simplify 0 into 0 510.313 * [backup-simplify]: Simplify 1 into 1 510.313 * [backup-simplify]: Simplify (/ PI 1) into PI 510.313 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.313 * [taylor]: Taking taylor expansion of -2 in n 510.313 * [backup-simplify]: Simplify -2 into -2 510.313 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.313 * [taylor]: Taking taylor expansion of PI in n 510.313 * [backup-simplify]: Simplify PI into PI 510.313 * [taylor]: Taking taylor expansion of n in n 510.313 * [backup-simplify]: Simplify 0 into 0 510.313 * [backup-simplify]: Simplify 1 into 1 510.314 * [backup-simplify]: Simplify (/ PI 1) into PI 510.314 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.314 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.315 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 510.315 * [backup-simplify]: Simplify 0 into 0 510.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.317 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 510.317 * [backup-simplify]: Simplify 0 into 0 510.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.322 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.322 * [backup-simplify]: Simplify 0 into 0 510.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.323 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 510.323 * [backup-simplify]: Simplify 0 into 0 510.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.325 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 510.325 * [backup-simplify]: Simplify 0 into 0 510.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.326 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 510.326 * [backup-simplify]: Simplify 0 into 0 510.327 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 510.327 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 510.327 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 510.327 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 510.327 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 510.327 * [taylor]: Taking taylor expansion of 2 in n 510.327 * [backup-simplify]: Simplify 2 into 2 510.327 * [taylor]: Taking taylor expansion of (* n PI) in n 510.327 * [taylor]: Taking taylor expansion of n in n 510.327 * [backup-simplify]: Simplify 0 into 0 510.327 * [backup-simplify]: Simplify 1 into 1 510.327 * [taylor]: Taking taylor expansion of PI in n 510.327 * [backup-simplify]: Simplify PI into PI 510.327 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 510.327 * [taylor]: Taking taylor expansion of 2 in n 510.327 * [backup-simplify]: Simplify 2 into 2 510.327 * [taylor]: Taking taylor expansion of (* n PI) in n 510.327 * [taylor]: Taking taylor expansion of n in n 510.327 * [backup-simplify]: Simplify 0 into 0 510.327 * [backup-simplify]: Simplify 1 into 1 510.327 * [taylor]: Taking taylor expansion of PI in n 510.327 * [backup-simplify]: Simplify PI into PI 510.328 * [backup-simplify]: Simplify (* 0 PI) into 0 510.328 * [backup-simplify]: Simplify (* 2 0) into 0 510.328 * [backup-simplify]: Simplify 0 into 0 510.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 510.330 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 510.330 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 510.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 510.331 * [backup-simplify]: Simplify 0 into 0 510.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 510.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 510.332 * [backup-simplify]: Simplify 0 into 0 510.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 510.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 510.334 * [backup-simplify]: Simplify 0 into 0 510.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 510.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 510.336 * [backup-simplify]: Simplify 0 into 0 510.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 510.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 510.337 * [backup-simplify]: Simplify 0 into 0 510.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 510.339 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 510.339 * [backup-simplify]: Simplify 0 into 0 510.340 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 510.340 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 510.340 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 510.340 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 510.340 * [taylor]: Taking taylor expansion of 2 in n 510.340 * [backup-simplify]: Simplify 2 into 2 510.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.340 * [taylor]: Taking taylor expansion of PI in n 510.340 * [backup-simplify]: Simplify PI into PI 510.340 * [taylor]: Taking taylor expansion of n in n 510.340 * [backup-simplify]: Simplify 0 into 0 510.340 * [backup-simplify]: Simplify 1 into 1 510.340 * [backup-simplify]: Simplify (/ PI 1) into PI 510.340 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 510.340 * [taylor]: Taking taylor expansion of 2 in n 510.340 * [backup-simplify]: Simplify 2 into 2 510.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.340 * [taylor]: Taking taylor expansion of PI in n 510.340 * [backup-simplify]: Simplify PI into PI 510.340 * [taylor]: Taking taylor expansion of n in n 510.341 * [backup-simplify]: Simplify 0 into 0 510.341 * [backup-simplify]: Simplify 1 into 1 510.341 * [backup-simplify]: Simplify (/ PI 1) into PI 510.341 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.341 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 510.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 510.342 * [backup-simplify]: Simplify 0 into 0 510.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 510.343 * [backup-simplify]: Simplify 0 into 0 510.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.345 * [backup-simplify]: Simplify 0 into 0 510.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 510.346 * [backup-simplify]: Simplify 0 into 0 510.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 510.348 * [backup-simplify]: Simplify 0 into 0 510.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 510.351 * [backup-simplify]: Simplify 0 into 0 510.352 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 510.352 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 510.352 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 510.352 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.352 * [taylor]: Taking taylor expansion of -2 in n 510.352 * [backup-simplify]: Simplify -2 into -2 510.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.353 * [taylor]: Taking taylor expansion of PI in n 510.353 * [backup-simplify]: Simplify PI into PI 510.353 * [taylor]: Taking taylor expansion of n in n 510.353 * [backup-simplify]: Simplify 0 into 0 510.353 * [backup-simplify]: Simplify 1 into 1 510.353 * [backup-simplify]: Simplify (/ PI 1) into PI 510.353 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 510.353 * [taylor]: Taking taylor expansion of -2 in n 510.353 * [backup-simplify]: Simplify -2 into -2 510.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 510.353 * [taylor]: Taking taylor expansion of PI in n 510.353 * [backup-simplify]: Simplify PI into PI 510.353 * [taylor]: Taking taylor expansion of n in n 510.353 * [backup-simplify]: Simplify 0 into 0 510.353 * [backup-simplify]: Simplify 1 into 1 510.354 * [backup-simplify]: Simplify (/ PI 1) into PI 510.354 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.355 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 510.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 510.356 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 510.356 * [backup-simplify]: Simplify 0 into 0 510.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.358 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 510.358 * [backup-simplify]: Simplify 0 into 0 510.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.360 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 510.360 * [backup-simplify]: Simplify 0 into 0 510.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.363 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 510.363 * [backup-simplify]: Simplify 0 into 0 510.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.365 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 510.365 * [backup-simplify]: Simplify 0 into 0 510.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 510.368 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 510.368 * [backup-simplify]: Simplify 0 into 0 510.369 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 510.369 * * * [progress]: simplifying candidates 510.369 * * * * [progress]: [ 1 / 234 ] simplifiying candidate # 510.369 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 510.369 * * [simplify]: iters left: 6 (12 enodes) 510.377 * * [simplify]: iters left: 5 (54 enodes) 510.387 * * [simplify]: iters left: 4 (90 enodes) 510.403 * * [simplify]: iters left: 3 (149 enodes) 510.456 * * [simplify]: iters left: 2 (273 enodes) 510.553 * * [simplify]: iters left: 1 (481 enodes) 510.824 * * [simplify]: Extracting #0: cost 1 inf + 0 510.824 * * [simplify]: Extracting #1: cost 3 inf + 0 510.824 * * [simplify]: Extracting #2: cost 32 inf + 0 510.825 * * [simplify]: Extracting #3: cost 131 inf + 1 510.825 * * [simplify]: Extracting #4: cost 215 inf + 221 510.827 * * [simplify]: Extracting #5: cost 203 inf + 1968 510.831 * * [simplify]: Extracting #6: cost 81 inf + 23417 510.844 * * [simplify]: Extracting #7: cost 9 inf + 62448 510.872 * * [simplify]: Extracting #8: cost 0 inf + 66741 510.912 * * [simplify]: Extracting #9: cost 0 inf + 66138 510.947 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 4))) 510.947 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (log1p (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (sqrt k)))) 510.947 * * * * [progress]: [ 2 / 234 ] simplifiying candidate # 510.948 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 510.948 * * [simplify]: iters left: 6 (12 enodes) 510.955 * * [simplify]: iters left: 5 (54 enodes) 510.975 * * [simplify]: iters left: 4 (90 enodes) 511.006 * * [simplify]: iters left: 3 (149 enodes) 511.048 * * [simplify]: iters left: 2 (273 enodes) 511.117 * * [simplify]: iters left: 1 (481 enodes) 511.373 * * [simplify]: Extracting #0: cost 1 inf + 0 511.373 * * [simplify]: Extracting #1: cost 3 inf + 0 511.373 * * [simplify]: Extracting #2: cost 32 inf + 0 511.374 * * [simplify]: Extracting #3: cost 131 inf + 1 511.375 * * [simplify]: Extracting #4: cost 215 inf + 221 511.378 * * [simplify]: Extracting #5: cost 203 inf + 1968 511.386 * * [simplify]: Extracting #6: cost 81 inf + 23457 511.411 * * [simplify]: Extracting #7: cost 9 inf + 62488 511.445 * * [simplify]: Extracting #8: cost 0 inf + 66781 511.484 * * [simplify]: Extracting #9: cost 0 inf + 66178 511.509 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (/ (- 1 k) 4))) 511.509 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (expm1 (log1p (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (sqrt k)))) 511.509 * * * * [progress]: [ 3 / 234 ] simplifiying candidate # 511.509 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 511.509 * * [simplify]: iters left: 6 (14 enodes) 511.513 * * [simplify]: iters left: 5 (60 enodes) 511.524 * * [simplify]: iters left: 4 (108 enodes) 511.558 * * [simplify]: iters left: 3 (258 enodes) 511.652 * * [simplify]: Extracting #0: cost 1 inf + 0 511.652 * * [simplify]: Extracting #1: cost 34 inf + 0 511.653 * * [simplify]: Extracting #2: cost 106 inf + 73 511.654 * * [simplify]: Extracting #3: cost 152 inf + 1759 511.660 * * [simplify]: Extracting #4: cost 62 inf + 20422 511.673 * * [simplify]: Extracting #5: cost 9 inf + 33153 511.684 * * [simplify]: Extracting #6: cost 0 inf + 35665 511.695 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI)))) 511.695 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI))))) (sqrt k)))) 511.695 * * * * [progress]: [ 4 / 234 ] simplifiying candidate # 511.695 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 511.696 * * [simplify]: iters left: 6 (13 enodes) 511.700 * * [simplify]: iters left: 5 (58 enodes) 511.710 * * [simplify]: iters left: 4 (101 enodes) 511.733 * * [simplify]: iters left: 3 (214 enodes) 511.812 * * [simplify]: Extracting #0: cost 1 inf + 0 511.812 * * [simplify]: Extracting #1: cost 28 inf + 0 511.813 * * [simplify]: Extracting #2: cost 90 inf + 73 511.814 * * [simplify]: Extracting #3: cost 137 inf + 780 511.817 * * [simplify]: Extracting #4: cost 82 inf + 8833 511.824 * * [simplify]: Extracting #5: cost 29 inf + 21151 511.834 * * [simplify]: Extracting #6: cost 3 inf + 26699 511.846 * * [simplify]: Extracting #7: cost 0 inf + 27452 511.854 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 511.854 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (sqrt k)))) 511.854 * * * * [progress]: [ 5 / 234 ] simplifiying candidate # 511.855 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 511.855 * * [simplify]: iters left: 6 (12 enodes) 511.859 * * [simplify]: iters left: 5 (57 enodes) 511.871 * * [simplify]: iters left: 4 (111 enodes) 511.893 * * [simplify]: iters left: 3 (216 enodes) 511.952 * * [simplify]: Extracting #0: cost 1 inf + 0 511.952 * * [simplify]: Extracting #1: cost 30 inf + 0 511.953 * * [simplify]: Extracting #2: cost 99 inf + 2 511.953 * * [simplify]: Extracting #3: cost 140 inf + 399 511.955 * * [simplify]: Extracting #4: cost 78 inf + 8967 511.959 * * [simplify]: Extracting #5: cost 21 inf + 19840 511.970 * * [simplify]: Extracting #6: cost 0 inf + 24211 511.983 * * [simplify]: Extracting #7: cost 0 inf + 24126 511.989 * [simplify]: Simplified to (/ (* (- 1 k) (log (* (* PI 2) n))) 4) 511.989 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (* (- 1 k) (log (* (* PI 2) n))) 4)) (sqrt k)))) 511.989 * * * * [progress]: [ 6 / 234 ] simplifiying candidate # 511.989 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 511.989 * * [simplify]: iters left: 6 (12 enodes) 511.993 * * [simplify]: iters left: 5 (57 enodes) 512.004 * * [simplify]: iters left: 4 (111 enodes) 512.023 * * [simplify]: iters left: 3 (216 enodes) 512.081 * * [simplify]: Extracting #0: cost 1 inf + 0 512.081 * * [simplify]: Extracting #1: cost 30 inf + 0 512.082 * * [simplify]: Extracting #2: cost 99 inf + 2 512.082 * * [simplify]: Extracting #3: cost 140 inf + 399 512.084 * * [simplify]: Extracting #4: cost 78 inf + 8967 512.087 * * [simplify]: Extracting #5: cost 21 inf + 19840 512.092 * * [simplify]: Extracting #6: cost 0 inf + 24211 512.097 * * [simplify]: Extracting #7: cost 0 inf + 24126 512.103 * [simplify]: Simplified to (/ (* (- 1 k) (log (* (* PI 2) n))) 4) 512.103 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (* (- 1 k) (log (* (* PI 2) n))) 4)) (sqrt k)))) 512.103 * * * * [progress]: [ 7 / 234 ] simplifiying candidate # 512.103 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 512.103 * * [simplify]: iters left: 6 (7 enodes) 512.106 * * [simplify]: iters left: 5 (33 enodes) 512.115 * * [simplify]: iters left: 4 (59 enodes) 512.130 * * [simplify]: iters left: 3 (83 enodes) 512.148 * * [simplify]: iters left: 2 (119 enodes) 512.172 * * [simplify]: iters left: 1 (158 enodes) 512.203 * * [simplify]: Extracting #0: cost 1 inf + 0 512.203 * * [simplify]: Extracting #1: cost 17 inf + 0 512.204 * * [simplify]: Extracting #2: cost 33 inf + 5 512.204 * * [simplify]: Extracting #3: cost 33 inf + 8 512.204 * * [simplify]: Extracting #4: cost 6 inf + 1953 512.205 * * [simplify]: Extracting #5: cost 0 inf + 2405 512.206 * [simplify]: Simplified to (/ (- 1 k) 4) 512.206 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 512.206 * * * * [progress]: [ 8 / 234 ] simplifiying candidate # 512.206 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 512.206 * * [simplify]: iters left: 6 (7 enodes) 512.209 * * [simplify]: iters left: 5 (33 enodes) 512.216 * * [simplify]: iters left: 4 (59 enodes) 512.238 * * [simplify]: iters left: 3 (83 enodes) 512.254 * * [simplify]: iters left: 2 (119 enodes) 512.273 * * [simplify]: iters left: 1 (158 enodes) 512.304 * * [simplify]: Extracting #0: cost 1 inf + 0 512.304 * * [simplify]: Extracting #1: cost 17 inf + 0 512.304 * * [simplify]: Extracting #2: cost 33 inf + 5 512.304 * * [simplify]: Extracting #3: cost 33 inf + 8 512.305 * * [simplify]: Extracting #4: cost 6 inf + 1953 512.305 * * [simplify]: Extracting #5: cost 0 inf + 2405 512.306 * [simplify]: Simplified to (/ (- 1 k) 4) 512.306 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 512.306 * * * * [progress]: [ 9 / 234 ] simplifiying candidate # 512.307 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 512.307 * * [simplify]: iters left: 6 (7 enodes) 512.309 * * [simplify]: iters left: 5 (33 enodes) 512.316 * * [simplify]: iters left: 4 (59 enodes) 512.326 * * [simplify]: iters left: 3 (83 enodes) 512.341 * * [simplify]: iters left: 2 (119 enodes) 512.360 * * [simplify]: iters left: 1 (158 enodes) 512.394 * * [simplify]: Extracting #0: cost 1 inf + 0 512.394 * * [simplify]: Extracting #1: cost 17 inf + 0 512.394 * * [simplify]: Extracting #2: cost 33 inf + 5 512.394 * * [simplify]: Extracting #3: cost 33 inf + 8 512.395 * * [simplify]: Extracting #4: cost 6 inf + 1953 512.396 * * [simplify]: Extracting #5: cost 0 inf + 2405 512.397 * [simplify]: Simplified to (/ (- 1 k) 4) 512.397 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 512.397 * * * * [progress]: [ 10 / 234 ] simplifiying candidate # 512.397 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) 512.397 * * [simplify]: iters left: 5 (9 enodes) 512.402 * * [simplify]: iters left: 4 (42 enodes) 512.413 * * [simplify]: iters left: 3 (71 enodes) 512.435 * * [simplify]: iters left: 2 (117 enodes) 512.456 * * [simplify]: iters left: 1 (181 enodes) 512.489 * * [simplify]: Extracting #0: cost 1 inf + 0 512.489 * * [simplify]: Extracting #1: cost 12 inf + 0 512.489 * * [simplify]: Extracting #2: cost 40 inf + 2 512.489 * * [simplify]: Extracting #3: cost 39 inf + 51 512.490 * * [simplify]: Extracting #4: cost 26 inf + 2784 512.491 * * [simplify]: Extracting #5: cost 4 inf + 12523 512.493 * * [simplify]: Extracting #6: cost 0 inf + 14914 512.494 * [simplify]: Simplified to (pow (* (* PI 2) n) 1/4) 512.495 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (/ (pow (* (* PI 2) n) 1/4) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k)))) 512.495 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 512.495 * * [simplify]: iters left: 5 (9 enodes) 512.498 * * [simplify]: iters left: 4 (37 enodes) 512.504 * * [simplify]: iters left: 3 (57 enodes) 512.513 * * [simplify]: iters left: 2 (93 enodes) 512.533 * * [simplify]: iters left: 1 (170 enodes) 512.587 * * [simplify]: Extracting #0: cost 1 inf + 0 512.588 * * [simplify]: Extracting #1: cost 13 inf + 0 512.588 * * [simplify]: Extracting #2: cost 59 inf + 1 512.588 * * [simplify]: Extracting #3: cost 78 inf + 176 512.589 * * [simplify]: Extracting #4: cost 40 inf + 3875 512.591 * * [simplify]: Extracting #5: cost 7 inf + 16988 512.594 * * [simplify]: Extracting #6: cost 0 inf + 20577 512.597 * * [simplify]: Extracting #7: cost 0 inf + 20336 512.600 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 512.600 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (sqrt k)))) 512.600 * * * * [progress]: [ 11 / 234 ] simplifiying candidate # 512.600 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) 512.601 * * [simplify]: iters left: 6 (13 enodes) 512.605 * * [simplify]: iters left: 5 (57 enodes) 512.618 * * [simplify]: iters left: 4 (91 enodes) 512.646 * * [simplify]: iters left: 3 (136 enodes) 512.694 * * [simplify]: iters left: 2 (218 enodes) 512.747 * * [simplify]: iters left: 1 (388 enodes) 512.924 * * [simplify]: Extracting #0: cost 1 inf + 0 512.924 * * [simplify]: Extracting #1: cost 29 inf + 0 512.925 * * [simplify]: Extracting #2: cost 119 inf + 1 512.926 * * [simplify]: Extracting #3: cost 204 inf + 217 512.928 * * [simplify]: Extracting #4: cost 216 inf + 429 512.930 * * [simplify]: Extracting #5: cost 223 inf + 430 512.933 * * [simplify]: Extracting #6: cost 182 inf + 8494 512.950 * * [simplify]: Extracting #7: cost 78 inf + 35629 512.969 * * [simplify]: Extracting #8: cost 38 inf + 65026 512.987 * * [simplify]: Extracting #9: cost 0 inf + 105210 513.021 * * [simplify]: Extracting #10: cost 0 inf + 102091 513.053 * * [simplify]: Extracting #11: cost 0 inf + 100186 513.073 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) 513.073 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 513.073 * * * * [progress]: [ 12 / 234 ] simplifiying candidate # 513.073 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) 513.073 * * [simplify]: iters left: 6 (12 enodes) 513.080 * * [simplify]: iters left: 5 (54 enodes) 513.098 * * [simplify]: iters left: 4 (86 enodes) 513.125 * * [simplify]: iters left: 3 (123 enodes) 513.163 * * [simplify]: iters left: 2 (182 enodes) 513.231 * * [simplify]: iters left: 1 (307 enodes) 513.330 * * [simplify]: Extracting #0: cost 1 inf + 0 513.330 * * [simplify]: Extracting #1: cost 27 inf + 0 513.331 * * [simplify]: Extracting #2: cost 98 inf + 1 513.332 * * [simplify]: Extracting #3: cost 131 inf + 175 513.333 * * [simplify]: Extracting #4: cost 131 inf + 431 513.335 * * [simplify]: Extracting #5: cost 130 inf + 598 513.338 * * [simplify]: Extracting #6: cost 99 inf + 4572 513.344 * * [simplify]: Extracting #7: cost 53 inf + 20362 513.360 * * [simplify]: Extracting #8: cost 8 inf + 60052 513.381 * * [simplify]: Extracting #9: cost 0 inf + 67958 513.402 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) 513.402 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 513.402 * * * * [progress]: [ 13 / 234 ] simplifiying candidate # 513.403 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) 513.403 * * [simplify]: iters left: 6 (15 enodes) 513.412 * * [simplify]: iters left: 5 (66 enodes) 513.433 * * [simplify]: iters left: 4 (115 enodes) 513.454 * * [simplify]: iters left: 3 (199 enodes) 513.495 * * [simplify]: iters left: 2 (451 enodes) 513.798 * * [simplify]: Extracting #0: cost 1 inf + 0 513.798 * * [simplify]: Extracting #1: cost 13 inf + 0 513.798 * * [simplify]: Extracting #2: cost 110 inf + 1 513.800 * * [simplify]: Extracting #3: cost 232 inf + 173 513.802 * * [simplify]: Extracting #4: cost 236 inf + 1151 513.805 * * [simplify]: Extracting #5: cost 220 inf + 4022 513.811 * * [simplify]: Extracting #6: cost 163 inf + 20966 513.836 * * [simplify]: Extracting #7: cost 25 inf + 75480 513.864 * * [simplify]: Extracting #8: cost 0 inf + 95233 513.885 * * [simplify]: Extracting #9: cost 0 inf + 93560 513.919 * * [simplify]: Extracting #10: cost 0 inf + 92880 513.950 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) 513.951 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k)))) 513.951 * * * * [progress]: [ 14 / 234 ] simplifiying candidate # 513.951 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 513.951 * * [simplify]: iters left: 6 (14 enodes) 513.956 * * [simplify]: iters left: 5 (59 enodes) 513.966 * * [simplify]: iters left: 4 (93 enodes) 513.987 * * [simplify]: iters left: 3 (149 enodes) 514.042 * * [simplify]: iters left: 2 (289 enodes) 514.131 * * [simplify]: Extracting #0: cost 1 inf + 0 514.131 * * [simplify]: Extracting #1: cost 12 inf + 0 514.131 * * [simplify]: Extracting #2: cost 84 inf + 1 514.131 * * [simplify]: Extracting #3: cost 147 inf + 48 514.132 * * [simplify]: Extracting #4: cost 141 inf + 1153 514.133 * * [simplify]: Extracting #5: cost 139 inf + 1807 514.133 * * [simplify]: Extracting #6: cost 139 inf + 1728 514.134 * * [simplify]: Extracting #7: cost 131 inf + 2264 514.137 * * [simplify]: Extracting #8: cost 62 inf + 22751 514.156 * * [simplify]: Extracting #9: cost 6 inf + 52862 514.180 * * [simplify]: Extracting #10: cost 0 inf + 58480 514.202 * * [simplify]: Extracting #11: cost 0 inf + 58350 514.218 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 514.218 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k)))) 514.218 * * * * [progress]: [ 15 / 234 ] simplifiying candidate # 514.218 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) 514.218 * * [simplify]: iters left: 6 (13 enodes) 514.223 * * [simplify]: iters left: 5 (54 enodes) 514.234 * * [simplify]: iters left: 4 (94 enodes) 514.263 * * [simplify]: iters left: 3 (138 enodes) 514.308 * * [simplify]: iters left: 2 (240 enodes) 514.400 * * [simplify]: iters left: 1 (482 enodes) 514.788 * * [simplify]: Extracting #0: cost 1 inf + 0 514.788 * * [simplify]: Extracting #1: cost 37 inf + 0 514.788 * * [simplify]: Extracting #2: cost 143 inf + 1 514.789 * * [simplify]: Extracting #3: cost 220 inf + 178 514.790 * * [simplify]: Extracting #4: cost 221 inf + 432 514.791 * * [simplify]: Extracting #5: cost 226 inf + 432 514.793 * * [simplify]: Extracting #6: cost 206 inf + 3898 514.804 * * [simplify]: Extracting #7: cost 104 inf + 30071 514.818 * * [simplify]: Extracting #8: cost 38 inf + 76484 514.841 * * [simplify]: Extracting #9: cost 1 inf + 117819 514.865 * * [simplify]: Extracting #10: cost 0 inf + 118972 514.902 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 514.902 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k)))) 514.902 * * * * [progress]: [ 16 / 234 ] simplifiying candidate # 514.903 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 514.903 * * [simplify]: iters left: 6 (14 enodes) 514.907 * * [simplify]: iters left: 5 (59 enodes) 514.919 * * [simplify]: iters left: 4 (91 enodes) 514.938 * * [simplify]: iters left: 3 (141 enodes) 514.969 * * [simplify]: iters left: 2 (263 enodes) 515.056 * * [simplify]: Extracting #0: cost 1 inf + 0 515.056 * * [simplify]: Extracting #1: cost 13 inf + 0 515.057 * * [simplify]: Extracting #2: cost 78 inf + 1 515.057 * * [simplify]: Extracting #3: cost 138 inf + 6 515.059 * * [simplify]: Extracting #4: cost 122 inf + 2882 515.061 * * [simplify]: Extracting #5: cost 110 inf + 5153 515.063 * * [simplify]: Extracting #6: cost 106 inf + 5685 515.066 * * [simplify]: Extracting #7: cost 59 inf + 17800 515.071 * * [simplify]: Extracting #8: cost 19 inf + 38068 515.080 * * [simplify]: Extracting #9: cost 1 inf + 53840 515.088 * * [simplify]: Extracting #10: cost 0 inf + 54879 515.105 * * [simplify]: Extracting #11: cost 0 inf + 54800 515.128 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 515.128 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k)))) 515.128 * * * * [progress]: [ 17 / 234 ] simplifiying candidate # 515.129 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 515.129 * * [simplify]: iters left: 6 (13 enodes) 515.138 * * [simplify]: iters left: 5 (54 enodes) 515.155 * * [simplify]: iters left: 4 (82 enodes) 515.181 * * [simplify]: iters left: 3 (123 enodes) 515.222 * * [simplify]: iters left: 2 (207 enodes) 515.273 * * [simplify]: iters left: 1 (382 enodes) 515.543 * * [simplify]: Extracting #0: cost 1 inf + 0 515.543 * * [simplify]: Extracting #1: cost 28 inf + 0 515.543 * * [simplify]: Extracting #2: cost 142 inf + 1 515.544 * * [simplify]: Extracting #3: cost 256 inf + 176 515.546 * * [simplify]: Extracting #4: cost 257 inf + 553 515.547 * * [simplify]: Extracting #5: cost 222 inf + 4749 515.549 * * [simplify]: Extracting #6: cost 214 inf + 5446 515.553 * * [simplify]: Extracting #7: cost 144 inf + 23446 515.566 * * [simplify]: Extracting #8: cost 27 inf + 75825 515.591 * * [simplify]: Extracting #9: cost 0 inf + 100639 515.627 * * [simplify]: Extracting #10: cost 0 inf + 99987 515.667 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 515.667 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k)))) 515.667 * * * * [progress]: [ 18 / 234 ] simplifiying candidate # 515.667 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) 515.668 * * [simplify]: iters left: 6 (12 enodes) 515.674 * * [simplify]: iters left: 5 (49 enodes) 515.690 * * [simplify]: iters left: 4 (75 enodes) 515.714 * * [simplify]: iters left: 3 (111 enodes) 515.747 * * [simplify]: iters left: 2 (170 enodes) 515.807 * * [simplify]: iters left: 1 (293 enodes) 515.948 * * [simplify]: Extracting #0: cost 1 inf + 0 515.948 * * [simplify]: Extracting #1: cost 29 inf + 0 515.949 * * [simplify]: Extracting #2: cost 99 inf + 1 515.949 * * [simplify]: Extracting #3: cost 127 inf + 217 515.950 * * [simplify]: Extracting #4: cost 127 inf + 430 515.951 * * [simplify]: Extracting #5: cost 126 inf + 473 515.951 * * [simplify]: Extracting #6: cost 120 inf + 845 515.953 * * [simplify]: Extracting #7: cost 83 inf + 10392 515.960 * * [simplify]: Extracting #8: cost 25 inf + 41709 515.979 * * [simplify]: Extracting #9: cost 2 inf + 63422 516.006 * * [simplify]: Extracting #10: cost 0 inf + 65616 516.020 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 516.020 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k)))) 516.020 * * * * [progress]: [ 19 / 234 ] simplifiying candidate # 516.020 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 516.020 * * [simplify]: iters left: 6 (15 enodes) 516.025 * * [simplify]: iters left: 5 (66 enodes) 516.042 * * [simplify]: iters left: 4 (132 enodes) 516.086 * * [simplify]: iters left: 3 (261 enodes) 516.169 * * [simplify]: Extracting #0: cost 1 inf + 0 516.169 * * [simplify]: Extracting #1: cost 11 inf + 0 516.169 * * [simplify]: Extracting #2: cost 98 inf + 0 516.171 * * [simplify]: Extracting #3: cost 179 inf + 256 516.172 * * [simplify]: Extracting #4: cost 179 inf + 749 516.177 * * [simplify]: Extracting #5: cost 120 inf + 14936 516.188 * * [simplify]: Extracting #6: cost 25 inf + 44518 516.198 * * [simplify]: Extracting #7: cost 5 inf + 52635 516.212 * * [simplify]: Extracting #8: cost 0 inf + 57235 516.226 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) 516.226 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 516.226 * * * * [progress]: [ 20 / 234 ] simplifiying candidate # 516.227 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 516.227 * * [simplify]: iters left: 6 (16 enodes) 516.236 * * [simplify]: iters left: 5 (67 enodes) 516.259 * * [simplify]: iters left: 4 (124 enodes) 516.303 * * [simplify]: iters left: 3 (245 enodes) 516.405 * * [simplify]: Extracting #0: cost 1 inf + 0 516.405 * * [simplify]: Extracting #1: cost 11 inf + 0 516.406 * * [simplify]: Extracting #2: cost 113 inf + 0 516.406 * * [simplify]: Extracting #3: cost 219 inf + 172 516.407 * * [simplify]: Extracting #4: cost 210 inf + 1275 516.409 * * [simplify]: Extracting #5: cost 163 inf + 12194 516.418 * * [simplify]: Extracting #6: cost 15 inf + 65842 516.434 * * [simplify]: Extracting #7: cost 0 inf + 72642 516.454 * * [simplify]: Extracting #8: cost 0 inf + 72483 516.465 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 516.465 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 516.466 * * * * [progress]: [ 21 / 234 ] simplifiying candidate # 516.466 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) 516.466 * * [simplify]: iters left: 6 (15 enodes) 516.470 * * [simplify]: iters left: 5 (64 enodes) 516.494 * * [simplify]: iters left: 4 (131 enodes) 516.520 * * [simplify]: iters left: 3 (239 enodes) 516.587 * * [simplify]: Extracting #0: cost 1 inf + 0 516.587 * * [simplify]: Extracting #1: cost 12 inf + 0 516.587 * * [simplify]: Extracting #2: cost 75 inf + 0 516.588 * * [simplify]: Extracting #3: cost 141 inf + 47 516.588 * * [simplify]: Extracting #4: cost 135 inf + 1554 516.589 * * [simplify]: Extracting #5: cost 128 inf + 2489 516.594 * * [simplify]: Extracting #6: cost 65 inf + 22138 516.608 * * [simplify]: Extracting #7: cost 2 inf + 49864 516.624 * * [simplify]: Extracting #8: cost 0 inf + 50287 516.640 * * [simplify]: Extracting #9: cost 0 inf + 50205 516.659 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 516.659 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (sqrt k)))) 516.659 * * * * [progress]: [ 22 / 234 ] simplifiying candidate # 516.660 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 516.660 * * [simplify]: iters left: 6 (16 enodes) 516.669 * * [simplify]: iters left: 5 (65 enodes) 516.692 * * [simplify]: iters left: 4 (115 enodes) 516.732 * * [simplify]: iters left: 3 (240 enodes) 516.803 * * [simplify]: Extracting #0: cost 1 inf + 0 516.803 * * [simplify]: Extracting #1: cost 11 inf + 0 516.803 * * [simplify]: Extracting #2: cost 113 inf + 0 516.804 * * [simplify]: Extracting #3: cost 228 inf + 172 516.805 * * [simplify]: Extracting #4: cost 220 inf + 1834 516.807 * * [simplify]: Extracting #5: cost 166 inf + 12543 516.815 * * [simplify]: Extracting #6: cost 49 inf + 55076 516.832 * * [simplify]: Extracting #7: cost 1 inf + 75637 516.858 * * [simplify]: Extracting #8: cost 0 inf + 75195 516.888 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) 516.888 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 516.888 * * * * [progress]: [ 23 / 234 ] simplifiying candidate # 516.888 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) 516.888 * * [simplify]: iters left: 6 (14 enodes) 516.892 * * [simplify]: iters left: 5 (57 enodes) 516.902 * * [simplify]: iters left: 4 (89 enodes) 516.917 * * [simplify]: iters left: 3 (148 enodes) 516.945 * * [simplify]: iters left: 2 (319 enodes) 517.072 * * [simplify]: Extracting #0: cost 1 inf + 0 517.072 * * [simplify]: Extracting #1: cost 13 inf + 0 517.072 * * [simplify]: Extracting #2: cost 89 inf + 1 517.073 * * [simplify]: Extracting #3: cost 168 inf + 6 517.075 * * [simplify]: Extracting #4: cost 160 inf + 1073 517.079 * * [simplify]: Extracting #5: cost 112 inf + 11315 517.091 * * [simplify]: Extracting #6: cost 37 inf + 30043 517.108 * * [simplify]: Extracting #7: cost 7 inf + 47889 517.132 * * [simplify]: Extracting #8: cost 0 inf + 53475 517.151 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) 517.151 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 517.152 * * * * [progress]: [ 24 / 234 ] simplifiying candidate # 517.152 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) 517.152 * * [simplify]: iters left: 6 (14 enodes) 517.160 * * [simplify]: iters left: 5 (55 enodes) 517.177 * * [simplify]: iters left: 4 (92 enodes) 517.194 * * [simplify]: iters left: 3 (161 enodes) 517.236 * * [simplify]: iters left: 2 (340 enodes) 517.377 * * [simplify]: Extracting #0: cost 1 inf + 0 517.377 * * [simplify]: Extracting #1: cost 12 inf + 0 517.377 * * [simplify]: Extracting #2: cost 81 inf + 1 517.377 * * [simplify]: Extracting #3: cost 159 inf + 7 517.378 * * [simplify]: Extracting #4: cost 151 inf + 1116 517.380 * * [simplify]: Extracting #5: cost 141 inf + 1937 517.381 * * [simplify]: Extracting #6: cost 121 inf + 5594 517.386 * * [simplify]: Extracting #7: cost 45 inf + 23808 517.395 * * [simplify]: Extracting #8: cost 6 inf + 47818 517.416 * * [simplify]: Extracting #9: cost 0 inf + 52841 517.437 * * [simplify]: Extracting #10: cost 0 inf + 52338 517.457 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 517.458 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (sqrt k)))) 517.458 * * * * [progress]: [ 25 / 234 ] simplifiying candidate # 517.458 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) 517.458 * * [simplify]: iters left: 6 (15 enodes) 517.466 * * [simplify]: iters left: 5 (60 enodes) 517.484 * * [simplify]: iters left: 4 (113 enodes) 517.525 * * [simplify]: iters left: 3 (218 enodes) 517.597 * * [simplify]: Extracting #0: cost 1 inf + 0 517.597 * * [simplify]: Extracting #1: cost 10 inf + 0 517.597 * * [simplify]: Extracting #2: cost 80 inf + 0 517.598 * * [simplify]: Extracting #3: cost 149 inf + 5 517.598 * * [simplify]: Extracting #4: cost 139 inf + 1268 517.599 * * [simplify]: Extracting #5: cost 118 inf + 4108 517.603 * * [simplify]: Extracting #6: cost 31 inf + 31012 517.614 * * [simplify]: Extracting #7: cost 0 inf + 44232 517.628 * * [simplify]: Extracting #8: cost 0 inf + 43914 517.643 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 517.643 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (sqrt k)))) 517.644 * * * * [progress]: [ 26 / 234 ] simplifiying candidate # 517.644 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) 517.644 * * [simplify]: iters left: 6 (14 enodes) 517.649 * * [simplify]: iters left: 5 (55 enodes) 517.660 * * [simplify]: iters left: 4 (95 enodes) 517.680 * * [simplify]: iters left: 3 (163 enodes) 517.743 * * [simplify]: iters left: 2 (335 enodes) 517.916 * * [simplify]: Extracting #0: cost 1 inf + 0 517.916 * * [simplify]: Extracting #1: cost 13 inf + 0 517.916 * * [simplify]: Extracting #2: cost 89 inf + 1 517.917 * * [simplify]: Extracting #3: cost 164 inf + 7 517.918 * * [simplify]: Extracting #4: cost 150 inf + 1361 517.920 * * [simplify]: Extracting #5: cost 138 inf + 2953 517.928 * * [simplify]: Extracting #6: cost 54 inf + 25589 517.946 * * [simplify]: Extracting #7: cost 5 inf + 48782 517.956 * * [simplify]: Extracting #8: cost 0 inf + 52731 517.967 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) 517.967 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (sqrt k)))) 517.967 * * * * [progress]: [ 27 / 234 ] simplifiying candidate # 517.967 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) 517.967 * * [simplify]: iters left: 6 (13 enodes) 517.971 * * [simplify]: iters left: 5 (50 enodes) 517.989 * * [simplify]: iters left: 4 (92 enodes) 518.018 * * [simplify]: iters left: 3 (138 enodes) 518.062 * * [simplify]: iters left: 2 (270 enodes) 518.192 * * [simplify]: Extracting #0: cost 1 inf + 0 518.192 * * [simplify]: Extracting #1: cost 19 inf + 0 518.193 * * [simplify]: Extracting #2: cost 106 inf + 1 518.194 * * [simplify]: Extracting #3: cost 134 inf + 215 518.196 * * [simplify]: Extracting #4: cost 137 inf + 427 518.197 * * [simplify]: Extracting #5: cost 136 inf + 470 518.199 * * [simplify]: Extracting #6: cost 130 inf + 1041 518.202 * * [simplify]: Extracting #7: cost 94 inf + 9157 518.211 * * [simplify]: Extracting #8: cost 56 inf + 24782 518.233 * * [simplify]: Extracting #9: cost 4 inf + 58277 518.254 * * [simplify]: Extracting #10: cost 0 inf + 60382 518.274 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 518.275 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) 2) 2)) (sqrt k)))) 518.275 * * * * [progress]: [ 28 / 234 ] simplifiying candidate # 518.275 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 518.275 * * [simplify]: iters left: 6 (14 enodes) 518.281 * * [simplify]: iters left: 5 (59 enodes) 518.291 * * [simplify]: iters left: 4 (100 enodes) 518.307 * * [simplify]: iters left: 3 (169 enodes) 518.361 * * [simplify]: iters left: 2 (357 enodes) 518.562 * * [simplify]: Extracting #0: cost 1 inf + 0 518.562 * * [simplify]: Extracting #1: cost 13 inf + 0 518.563 * * [simplify]: Extracting #2: cost 96 inf + 1 518.564 * * [simplify]: Extracting #3: cost 185 inf + 297 518.566 * * [simplify]: Extracting #4: cost 167 inf + 3341 518.572 * * [simplify]: Extracting #5: cost 97 inf + 17989 518.586 * * [simplify]: Extracting #6: cost 29 inf + 39102 518.600 * * [simplify]: Extracting #7: cost 4 inf + 58882 518.610 * * [simplify]: Extracting #8: cost 0 inf + 62078 518.621 * * [simplify]: Extracting #9: cost 0 inf + 61496 518.640 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) 518.640 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 518.641 * * * * [progress]: [ 29 / 234 ] simplifiying candidate # 518.641 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 518.641 * * [simplify]: iters left: 6 (15 enodes) 518.650 * * [simplify]: iters left: 5 (60 enodes) 518.674 * * [simplify]: iters left: 4 (96 enodes) 518.707 * * [simplify]: iters left: 3 (164 enodes) 518.748 * * [simplify]: iters left: 2 (355 enodes) 518.933 * * [simplify]: Extracting #0: cost 1 inf + 0 518.933 * * [simplify]: Extracting #1: cost 13 inf + 0 518.933 * * [simplify]: Extracting #2: cost 109 inf + 1 518.934 * * [simplify]: Extracting #3: cost 223 inf + 296 518.936 * * [simplify]: Extracting #4: cost 205 inf + 4016 518.939 * * [simplify]: Extracting #5: cost 134 inf + 18734 518.948 * * [simplify]: Extracting #6: cost 23 inf + 55288 518.977 * * [simplify]: Extracting #7: cost 1 inf + 75831 518.996 * * [simplify]: Extracting #8: cost 0 inf + 76118 519.010 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) 519.010 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 519.011 * * * * [progress]: [ 30 / 234 ] simplifiying candidate # 519.011 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) 519.011 * * [simplify]: iters left: 6 (14 enodes) 519.015 * * [simplify]: iters left: 5 (55 enodes) 519.025 * * [simplify]: iters left: 4 (89 enodes) 519.041 * * [simplify]: iters left: 3 (150 enodes) 519.091 * * [simplify]: iters left: 2 (291 enodes) 519.229 * * [simplify]: Extracting #0: cost 1 inf + 0 519.230 * * [simplify]: Extracting #1: cost 12 inf + 0 519.230 * * [simplify]: Extracting #2: cost 83 inf + 1 519.230 * * [simplify]: Extracting #3: cost 149 inf + 88 519.231 * * [simplify]: Extracting #4: cost 122 inf + 4381 519.233 * * [simplify]: Extracting #5: cost 110 inf + 5521 519.235 * * [simplify]: Extracting #6: cost 76 inf + 12618 519.241 * * [simplify]: Extracting #7: cost 17 inf + 36794 519.250 * * [simplify]: Extracting #8: cost 0 inf + 52398 519.267 * * [simplify]: Extracting #9: cost 0 inf + 52279 519.285 * * [simplify]: Extracting #10: cost 0 inf + 52239 519.302 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 519.302 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (sqrt k)))) 519.303 * * * * [progress]: [ 31 / 234 ] simplifiying candidate # 519.303 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 519.303 * * [simplify]: iters left: 6 (15 enodes) 519.311 * * [simplify]: iters left: 5 (60 enodes) 519.331 * * [simplify]: iters left: 4 (98 enodes) 519.349 * * [simplify]: iters left: 3 (170 enodes) 519.384 * * [simplify]: iters left: 2 (380 enodes) 519.562 * * [simplify]: Extracting #0: cost 1 inf + 0 519.562 * * [simplify]: Extracting #1: cost 13 inf + 0 519.562 * * [simplify]: Extracting #2: cost 115 inf + 1 519.563 * * [simplify]: Extracting #3: cost 237 inf + 256 519.564 * * [simplify]: Extracting #4: cost 224 inf + 3055 519.568 * * [simplify]: Extracting #5: cost 124 inf + 29028 519.579 * * [simplify]: Extracting #6: cost 29 inf + 59577 519.600 * * [simplify]: Extracting #7: cost 1 inf + 82271 519.616 * * [simplify]: Extracting #8: cost 0 inf + 82483 519.639 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 519.640 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 519.640 * * * * [progress]: [ 32 / 234 ] simplifiying candidate # 519.640 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) 519.640 * * [simplify]: iters left: 6 (13 enodes) 519.648 * * [simplify]: iters left: 5 (52 enodes) 519.666 * * [simplify]: iters left: 4 (76 enodes) 519.689 * * [simplify]: iters left: 3 (117 enodes) 519.730 * * [simplify]: iters left: 2 (212 enodes) 519.816 * * [simplify]: iters left: 1 (407 enodes) 520.051 * * [simplify]: Extracting #0: cost 1 inf + 0 520.052 * * [simplify]: Extracting #1: cost 28 inf + 0 520.052 * * [simplify]: Extracting #2: cost 152 inf + 1 520.054 * * [simplify]: Extracting #3: cost 271 inf + 217 520.057 * * [simplify]: Extracting #4: cost 241 inf + 3724 520.062 * * [simplify]: Extracting #5: cost 196 inf + 10784 520.079 * * [simplify]: Extracting #6: cost 70 inf + 41091 520.107 * * [simplify]: Extracting #7: cost 14 inf + 81043 520.142 * * [simplify]: Extracting #8: cost 0 inf + 93786 520.158 * * [simplify]: Extracting #9: cost 0 inf + 93705 520.179 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) 520.179 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 520.179 * * * * [progress]: [ 33 / 234 ] simplifiying candidate # 520.180 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) 520.180 * * [simplify]: iters left: 6 (13 enodes) 520.187 * * [simplify]: iters left: 5 (50 enodes) 520.204 * * [simplify]: iters left: 4 (77 enodes) 520.230 * * [simplify]: iters left: 3 (124 enodes) 520.267 * * [simplify]: iters left: 2 (218 enodes) 520.317 * * [simplify]: iters left: 1 (451 enodes) 520.639 * * [simplify]: Extracting #0: cost 1 inf + 0 520.639 * * [simplify]: Extracting #1: cost 35 inf + 0 520.639 * * [simplify]: Extracting #2: cost 164 inf + 1 520.641 * * [simplify]: Extracting #3: cost 271 inf + 220 520.642 * * [simplify]: Extracting #4: cost 260 inf + 1897 520.647 * * [simplify]: Extracting #5: cost 212 inf + 7038 520.657 * * [simplify]: Extracting #6: cost 119 inf + 24014 520.673 * * [simplify]: Extracting #7: cost 52 inf + 51357 520.698 * * [simplify]: Extracting #8: cost 3 inf + 100895 520.738 * * [simplify]: Extracting #9: cost 0 inf + 104547 520.778 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 520.778 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (sqrt k)))) 520.778 * * * * [progress]: [ 34 / 234 ] simplifiying candidate # 520.779 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) 520.779 * * [simplify]: iters left: 6 (14 enodes) 520.787 * * [simplify]: iters left: 5 (55 enodes) 520.804 * * [simplify]: iters left: 4 (87 enodes) 520.830 * * [simplify]: iters left: 3 (147 enodes) 520.858 * * [simplify]: iters left: 2 (289 enodes) 520.997 * * [simplify]: Extracting #0: cost 1 inf + 0 520.997 * * [simplify]: Extracting #1: cost 12 inf + 0 520.997 * * [simplify]: Extracting #2: cost 80 inf + 1 520.998 * * [simplify]: Extracting #3: cost 147 inf + 7 520.999 * * [simplify]: Extracting #4: cost 123 inf + 3777 521.000 * * [simplify]: Extracting #5: cost 107 inf + 5846 521.003 * * [simplify]: Extracting #6: cost 70 inf + 14368 521.012 * * [simplify]: Extracting #7: cost 10 inf + 41178 521.027 * * [simplify]: Extracting #8: cost 0 inf + 49216 521.044 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 521.044 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (sqrt k)))) 521.044 * * * * [progress]: [ 35 / 234 ] simplifiying candidate # 521.045 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) 521.045 * * [simplify]: iters left: 6 (13 enodes) 521.049 * * [simplify]: iters left: 5 (50 enodes) 521.058 * * [simplify]: iters left: 4 (76 enodes) 521.071 * * [simplify]: iters left: 3 (124 enodes) 521.096 * * [simplify]: iters left: 2 (221 enodes) 521.164 * * [simplify]: iters left: 1 (459 enodes) 521.576 * * [simplify]: Extracting #0: cost 1 inf + 0 521.576 * * [simplify]: Extracting #1: cost 36 inf + 0 521.577 * * [simplify]: Extracting #2: cost 174 inf + 1 521.579 * * [simplify]: Extracting #3: cost 292 inf + 220 521.582 * * [simplify]: Extracting #4: cost 287 inf + 1086 521.589 * * [simplify]: Extracting #5: cost 202 inf + 13689 521.617 * * [simplify]: Extracting #6: cost 78 inf + 53621 521.656 * * [simplify]: Extracting #7: cost 6 inf + 103249 521.698 * * [simplify]: Extracting #8: cost 0 inf + 107262 521.737 * * [simplify]: Extracting #9: cost 0 inf + 107261 521.758 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 521.758 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (sqrt k)))) 521.758 * * * * [progress]: [ 36 / 234 ] simplifiying candidate # 521.759 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) 521.759 * * [simplify]: iters left: 6 (12 enodes) 521.763 * * [simplify]: iters left: 5 (45 enodes) 521.778 * * [simplify]: iters left: 4 (77 enodes) 521.800 * * [simplify]: iters left: 3 (113 enodes) 521.818 * * [simplify]: iters left: 2 (224 enodes) 521.910 * * [simplify]: Extracting #0: cost 1 inf + 0 521.910 * * [simplify]: Extracting #1: cost 21 inf + 0 521.911 * * [simplify]: Extracting #2: cost 106 inf + 1 521.911 * * [simplify]: Extracting #3: cost 124 inf + 173 521.911 * * [simplify]: Extracting #4: cost 121 inf + 551 521.913 * * [simplify]: Extracting #5: cost 90 inf + 8323 521.916 * * [simplify]: Extracting #6: cost 37 inf + 28906 521.923 * * [simplify]: Extracting #7: cost 2 inf + 48879 521.931 * * [simplify]: Extracting #8: cost 0 inf + 50442 521.941 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 521.941 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (/ (sqrt (- 1 k)) 2) 2)) (sqrt k)))) 521.941 * * * * [progress]: [ 37 / 234 ] simplifiying candidate # 521.942 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 521.942 * * [simplify]: iters left: 6 (11 enodes) 521.945 * * [simplify]: iters left: 5 (48 enodes) 521.954 * * [simplify]: iters left: 4 (86 enodes) 521.984 * * [simplify]: iters left: 3 (155 enodes) 522.038 * * [simplify]: iters left: 2 (300 enodes) 522.211 * * [simplify]: Extracting #0: cost 1 inf + 0 522.211 * * [simplify]: Extracting #1: cost 13 inf + 0 522.211 * * [simplify]: Extracting #2: cost 91 inf + 0 522.213 * * [simplify]: Extracting #3: cost 184 inf + 8 522.215 * * [simplify]: Extracting #4: cost 142 inf + 6775 522.224 * * [simplify]: Extracting #5: cost 28 inf + 31749 522.231 * * [simplify]: Extracting #6: cost 7 inf + 42461 522.238 * * [simplify]: Extracting #7: cost 0 inf + 48584 522.245 * * [simplify]: Extracting #8: cost 0 inf + 48171 522.252 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 522.252 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k)))) 522.252 * * * * [progress]: [ 38 / 234 ] simplifiying candidate # 522.252 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 522.252 * * [simplify]: iters left: 6 (12 enodes) 522.258 * * [simplify]: iters left: 5 (49 enodes) 522.274 * * [simplify]: iters left: 4 (82 enodes) 522.303 * * [simplify]: iters left: 3 (152 enodes) 522.363 * * [simplify]: iters left: 2 (314 enodes) 522.468 * * [simplify]: Extracting #0: cost 1 inf + 0 522.468 * * [simplify]: Extracting #1: cost 12 inf + 0 522.468 * * [simplify]: Extracting #2: cost 95 inf + 1 522.469 * * [simplify]: Extracting #3: cost 173 inf + 739 522.471 * * [simplify]: Extracting #4: cost 82 inf + 21246 522.482 * * [simplify]: Extracting #5: cost 17 inf + 41542 522.491 * * [simplify]: Extracting #6: cost 0 inf + 57328 522.500 * * [simplify]: Extracting #7: cost 0 inf + 55491 522.509 * * [simplify]: Extracting #8: cost 0 inf + 54978 522.518 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 522.519 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k)))) 522.519 * * * * [progress]: [ 39 / 234 ] simplifiying candidate # 522.519 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 522.519 * * [simplify]: iters left: 6 (11 enodes) 522.523 * * [simplify]: iters left: 5 (44 enodes) 522.531 * * [simplify]: iters left: 4 (75 enodes) 522.544 * * [simplify]: iters left: 3 (135 enodes) 522.576 * * [simplify]: iters left: 2 (257 enodes) 522.658 * * [simplify]: Extracting #0: cost 1 inf + 0 522.658 * * [simplify]: Extracting #1: cost 12 inf + 0 522.658 * * [simplify]: Extracting #2: cost 67 inf + 1 522.659 * * [simplify]: Extracting #3: cost 114 inf + 7 522.659 * * [simplify]: Extracting #4: cost 104 inf + 911 522.661 * * [simplify]: Extracting #5: cost 42 inf + 14168 522.666 * * [simplify]: Extracting #6: cost 5 inf + 30729 522.671 * * [simplify]: Extracting #7: cost 0 inf + 35035 522.680 * * [simplify]: Extracting #8: cost 0 inf + 34742 522.691 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 522.691 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k)))) 522.691 * * * * [progress]: [ 40 / 234 ] simplifiying candidate # 522.691 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 522.692 * * [simplify]: iters left: 6 (12 enodes) 522.698 * * [simplify]: iters left: 5 (49 enodes) 522.715 * * [simplify]: iters left: 4 (84 enodes) 522.735 * * [simplify]: iters left: 3 (157 enodes) 522.770 * * [simplify]: iters left: 2 (349 enodes) 522.971 * * [simplify]: Extracting #0: cost 1 inf + 0 522.972 * * [simplify]: Extracting #1: cost 13 inf + 0 522.972 * * [simplify]: Extracting #2: cost 104 inf + 1 522.973 * * [simplify]: Extracting #3: cost 208 inf + 742 522.981 * * [simplify]: Extracting #4: cost 99 inf + 23626 523.004 * * [simplify]: Extracting #5: cost 10 inf + 51587 523.026 * * [simplify]: Extracting #6: cost 0 inf + 59406 523.037 * * [simplify]: Extracting #7: cost 0 inf + 59204 523.047 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 523.048 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k)))) 523.048 * * * * [progress]: [ 41 / 234 ] simplifiying candidate # 523.048 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 523.048 * * [simplify]: iters left: 6 (10 enodes) 523.051 * * [simplify]: iters left: 5 (41 enodes) 523.060 * * [simplify]: iters left: 4 (63 enodes) 523.084 * * [simplify]: iters left: 3 (106 enodes) 523.108 * * [simplify]: iters left: 2 (170 enodes) 523.156 * * [simplify]: iters left: 1 (274 enodes) 523.289 * * [simplify]: Extracting #0: cost 1 inf + 0 523.289 * * [simplify]: Extracting #1: cost 34 inf + 0 523.289 * * [simplify]: Extracting #2: cost 96 inf + 2 523.290 * * [simplify]: Extracting #3: cost 83 inf + 2529 523.295 * * [simplify]: Extracting #4: cost 46 inf + 22891 523.305 * * [simplify]: Extracting #5: cost 2 inf + 52042 523.316 * * [simplify]: Extracting #6: cost 0 inf + 52881 523.327 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 523.327 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k)))) 523.327 * * * * [progress]: [ 42 / 234 ] simplifiying candidate # 523.327 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 523.327 * * [simplify]: iters left: 6 (10 enodes) 523.333 * * [simplify]: iters left: 5 (39 enodes) 523.347 * * [simplify]: iters left: 4 (63 enodes) 523.373 * * [simplify]: iters left: 3 (109 enodes) 523.412 * * [simplify]: iters left: 2 (194 enodes) 523.496 * * [simplify]: iters left: 1 (379 enodes) 523.678 * * [simplify]: Extracting #0: cost 1 inf + 0 523.678 * * [simplify]: Extracting #1: cost 36 inf + 0 523.679 * * [simplify]: Extracting #2: cost 115 inf + 1 523.679 * * [simplify]: Extracting #3: cost 130 inf + 921 523.682 * * [simplify]: Extracting #4: cost 84 inf + 12198 523.686 * * [simplify]: Extracting #5: cost 46 inf + 29266 523.700 * * [simplify]: Extracting #6: cost 6 inf + 65568 523.721 * * [simplify]: Extracting #7: cost 0 inf + 70626 523.741 * * [simplify]: Extracting #8: cost 0 inf + 69382 523.756 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 523.756 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k)))) 523.757 * * * * [progress]: [ 43 / 234 ] simplifiying candidate # 523.757 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 523.757 * * [simplify]: iters left: 6 (11 enodes) 523.760 * * [simplify]: iters left: 5 (42 enodes) 523.767 * * [simplify]: iters left: 4 (67 enodes) 523.781 * * [simplify]: iters left: 3 (113 enodes) 523.801 * * [simplify]: iters left: 2 (227 enodes) 523.898 * * [simplify]: iters left: 1 (460 enodes) 524.191 * * [simplify]: Extracting #0: cost 1 inf + 0 524.191 * * [simplify]: Extracting #1: cost 27 inf + 0 524.192 * * [simplify]: Extracting #2: cost 128 inf + 1 524.193 * * [simplify]: Extracting #3: cost 230 inf + 336 524.195 * * [simplify]: Extracting #4: cost 174 inf + 9113 524.205 * * [simplify]: Extracting #5: cost 47 inf + 41174 524.219 * * [simplify]: Extracting #6: cost 8 inf + 76412 524.245 * * [simplify]: Extracting #7: cost 0 inf + 84921 524.273 * * [simplify]: Extracting #8: cost 0 inf + 84670 524.293 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 524.293 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k)))) 524.293 * * * * [progress]: [ 44 / 234 ] simplifiying candidate # 524.293 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 524.293 * * [simplify]: iters left: 5 (10 enodes) 524.297 * * [simplify]: iters left: 4 (37 enodes) 524.303 * * [simplify]: iters left: 3 (58 enodes) 524.314 * * [simplify]: iters left: 2 (98 enodes) 524.344 * * [simplify]: iters left: 1 (170 enodes) 524.380 * * [simplify]: Extracting #0: cost 1 inf + 0 524.380 * * [simplify]: Extracting #1: cost 12 inf + 0 524.381 * * [simplify]: Extracting #2: cost 51 inf + 1 524.381 * * [simplify]: Extracting #3: cost 75 inf + 6 524.381 * * [simplify]: Extracting #4: cost 65 inf + 882 524.382 * * [simplify]: Extracting #5: cost 36 inf + 4827 524.385 * * [simplify]: Extracting #6: cost 11 inf + 14483 524.388 * * [simplify]: Extracting #7: cost 0 inf + 23347 524.392 * * [simplify]: Extracting #8: cost 0 inf + 23054 524.395 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 524.395 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k)))) 524.395 * * * * [progress]: [ 45 / 234 ] simplifiying candidate # 524.395 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 524.395 * * [simplify]: iters left: 5 (9 enodes) 524.399 * * [simplify]: iters left: 4 (35 enodes) 524.408 * * [simplify]: iters left: 3 (65 enodes) 524.429 * * [simplify]: iters left: 2 (106 enodes) 524.462 * * [simplify]: iters left: 1 (178 enodes) 524.501 * * [simplify]: Extracting #0: cost 1 inf + 0 524.501 * * [simplify]: Extracting #1: cost 18 inf + 0 524.501 * * [simplify]: Extracting #2: cost 35 inf + 46 524.502 * * [simplify]: Extracting #3: cost 27 inf + 930 524.503 * * [simplify]: Extracting #4: cost 12 inf + 6845 524.506 * * [simplify]: Extracting #5: cost 1 inf + 11470 524.513 * * [simplify]: Extracting #6: cost 0 inf + 11764 524.516 * [simplify]: Simplified to (* (* PI 2) n) 524.516 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 524.517 * * * * [progress]: [ 46 / 234 ] simplifiying candidate # 524.517 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 524.517 * * [simplify]: iters left: 6 (15 enodes) 524.527 * * [simplify]: iters left: 5 (61 enodes) 524.546 * * [simplify]: iters left: 4 (99 enodes) 524.578 * * [simplify]: iters left: 3 (167 enodes) 524.627 * * [simplify]: iters left: 2 (356 enodes) 524.806 * * [simplify]: Extracting #0: cost 1 inf + 0 524.806 * * [simplify]: Extracting #1: cost 13 inf + 0 524.807 * * [simplify]: Extracting #2: cost 91 inf + 1 524.808 * * [simplify]: Extracting #3: cost 174 inf + 49 524.810 * * [simplify]: Extracting #4: cost 148 inf + 4264 524.815 * * [simplify]: Extracting #5: cost 101 inf + 13463 524.827 * * [simplify]: Extracting #6: cost 31 inf + 32846 524.848 * * [simplify]: Extracting #7: cost 8 inf + 47457 524.867 * * [simplify]: Extracting #8: cost 0 inf + 54770 524.876 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) 524.876 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 524.876 * * * * [progress]: [ 47 / 234 ] simplifiying candidate # 524.877 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 524.877 * * [simplify]: iters left: 6 (16 enodes) 524.883 * * [simplify]: iters left: 5 (62 enodes) 524.892 * * [simplify]: iters left: 4 (95 enodes) 524.921 * * [simplify]: iters left: 3 (164 enodes) 524.967 * * [simplify]: iters left: 2 (364 enodes) 525.131 * * [simplify]: Extracting #0: cost 1 inf + 0 525.132 * * [simplify]: Extracting #1: cost 13 inf + 0 525.132 * * [simplify]: Extracting #2: cost 115 inf + 1 525.134 * * [simplify]: Extracting #3: cost 236 inf + 173 525.136 * * [simplify]: Extracting #4: cost 227 inf + 2246 525.142 * * [simplify]: Extracting #5: cost 149 inf + 17247 525.160 * * [simplify]: Extracting #6: cost 43 inf + 48767 525.186 * * [simplify]: Extracting #7: cost 8 inf + 77001 525.216 * * [simplify]: Extracting #8: cost 0 inf + 84223 525.247 * * [simplify]: Extracting #9: cost 0 inf + 83592 525.268 * * [simplify]: Extracting #10: cost 0 inf + 83461 525.290 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 525.290 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 525.290 * * * * [progress]: [ 48 / 234 ] simplifiying candidate # 525.291 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 525.291 * * [simplify]: iters left: 6 (15 enodes) 525.301 * * [simplify]: iters left: 5 (57 enodes) 525.319 * * [simplify]: iters left: 4 (88 enodes) 525.348 * * [simplify]: iters left: 3 (149 enodes) 525.381 * * [simplify]: iters left: 2 (292 enodes) 525.506 * * [simplify]: Extracting #0: cost 1 inf + 0 525.506 * * [simplify]: Extracting #1: cost 12 inf + 0 525.506 * * [simplify]: Extracting #2: cost 86 inf + 1 525.507 * * [simplify]: Extracting #3: cost 156 inf + 7 525.508 * * [simplify]: Extracting #4: cost 127 inf + 4379 525.509 * * [simplify]: Extracting #5: cost 113 inf + 5924 525.512 * * [simplify]: Extracting #6: cost 53 inf + 21595 525.520 * * [simplify]: Extracting #7: cost 3 inf + 49466 525.535 * * [simplify]: Extracting #8: cost 0 inf + 52705 525.553 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 525.553 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (sqrt k)))) 525.553 * * * * [progress]: [ 49 / 234 ] simplifiying candidate # 525.554 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 525.554 * * [simplify]: iters left: 6 (16 enodes) 525.568 * * [simplify]: iters left: 5 (62 enodes) 525.578 * * [simplify]: iters left: 4 (97 enodes) 525.595 * * [simplify]: iters left: 3 (168 enodes) 525.638 * * [simplify]: iters left: 2 (386 enodes) 525.822 * * [simplify]: Extracting #0: cost 1 inf + 0 525.822 * * [simplify]: Extracting #1: cost 13 inf + 0 525.823 * * [simplify]: Extracting #2: cost 113 inf + 1 525.823 * * [simplify]: Extracting #3: cost 237 inf + 215 525.825 * * [simplify]: Extracting #4: cost 230 inf + 2281 525.828 * * [simplify]: Extracting #5: cost 140 inf + 20271 525.837 * * [simplify]: Extracting #6: cost 37 inf + 49734 525.852 * * [simplify]: Extracting #7: cost 9 inf + 70108 525.867 * * [simplify]: Extracting #8: cost 0 inf + 79633 525.882 * * [simplify]: Extracting #9: cost 0 inf + 79502 525.915 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 525.915 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 525.915 * * * * [progress]: [ 50 / 234 ] simplifiying candidate # 525.916 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) 525.916 * * [simplify]: iters left: 6 (14 enodes) 525.924 * * [simplify]: iters left: 5 (54 enodes) 525.933 * * [simplify]: iters left: 4 (75 enodes) 525.945 * * [simplify]: iters left: 3 (117 enodes) 525.971 * * [simplify]: iters left: 2 (212 enodes) 526.061 * * [simplify]: iters left: 1 (419 enodes) 526.361 * * [simplify]: Extracting #0: cost 1 inf + 0 526.362 * * [simplify]: Extracting #1: cost 24 inf + 0 526.362 * * [simplify]: Extracting #2: cost 143 inf + 1 526.365 * * [simplify]: Extracting #3: cost 284 inf + 301 526.368 * * [simplify]: Extracting #4: cost 282 inf + 840 526.372 * * [simplify]: Extracting #5: cost 219 inf + 8472 526.381 * * [simplify]: Extracting #6: cost 69 inf + 42657 526.395 * * [simplify]: Extracting #7: cost 2 inf + 86974 526.422 * * [simplify]: Extracting #8: cost 0 inf + 88675 526.443 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 526.443 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 526.443 * * * * [progress]: [ 51 / 234 ] simplifiying candidate # 526.444 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) 526.444 * * [simplify]: iters left: 6 (14 enodes) 526.448 * * [simplify]: iters left: 5 (52 enodes) 526.456 * * [simplify]: iters left: 4 (76 enodes) 526.477 * * [simplify]: iters left: 3 (122 enodes) 526.518 * * [simplify]: iters left: 2 (225 enodes) 526.597 * * [simplify]: iters left: 1 (481 enodes) 526.992 * * [simplify]: Extracting #0: cost 1 inf + 0 526.992 * * [simplify]: Extracting #1: cost 35 inf + 0 526.993 * * [simplify]: Extracting #2: cost 166 inf + 1 526.994 * * [simplify]: Extracting #3: cost 299 inf + 261 526.997 * * [simplify]: Extracting #4: cost 292 inf + 923 527.003 * * [simplify]: Extracting #5: cost 212 inf + 11466 527.024 * * [simplify]: Extracting #6: cost 86 inf + 49823 527.061 * * [simplify]: Extracting #7: cost 7 inf + 102470 527.096 * * [simplify]: Extracting #8: cost 0 inf + 109978 527.122 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 527.122 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (sqrt k)))) 527.122 * * * * [progress]: [ 52 / 234 ] simplifiying candidate # 527.123 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 527.123 * * [simplify]: iters left: 6 (15 enodes) 527.133 * * [simplify]: iters left: 5 (57 enodes) 527.151 * * [simplify]: iters left: 4 (86 enodes) 527.180 * * [simplify]: iters left: 3 (147 enodes) 527.232 * * [simplify]: iters left: 2 (292 enodes) 527.360 * * [simplify]: Extracting #0: cost 1 inf + 0 527.360 * * [simplify]: Extracting #1: cost 12 inf + 0 527.361 * * [simplify]: Extracting #2: cost 90 inf + 1 527.361 * * [simplify]: Extracting #3: cost 167 inf + 7 527.362 * * [simplify]: Extracting #4: cost 140 inf + 3739 527.363 * * [simplify]: Extracting #5: cost 126 inf + 5802 527.366 * * [simplify]: Extracting #6: cost 77 inf + 17251 527.377 * * [simplify]: Extracting #7: cost 17 inf + 37270 527.394 * * [simplify]: Extracting #8: cost 0 inf + 53476 527.411 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 527.411 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (sqrt k)))) 527.412 * * * * [progress]: [ 53 / 234 ] simplifiying candidate # 527.412 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) 527.412 * * [simplify]: iters left: 6 (14 enodes) 527.420 * * [simplify]: iters left: 5 (52 enodes) 527.435 * * [simplify]: iters left: 4 (75 enodes) 527.464 * * [simplify]: iters left: 3 (122 enodes) 527.505 * * [simplify]: iters left: 2 (225 enodes) 527.578 * * [simplify]: iters left: 1 (464 enodes) 527.947 * * [simplify]: Extracting #0: cost 1 inf + 0 527.948 * * [simplify]: Extracting #1: cost 34 inf + 0 527.948 * * [simplify]: Extracting #2: cost 160 inf + 1 527.951 * * [simplify]: Extracting #3: cost 283 inf + 261 527.954 * * [simplify]: Extracting #4: cost 277 inf + 923 527.961 * * [simplify]: Extracting #5: cost 201 inf + 10964 527.976 * * [simplify]: Extracting #6: cost 72 inf + 45570 527.998 * * [simplify]: Extracting #7: cost 2 inf + 99075 528.019 * * [simplify]: Extracting #8: cost 0 inf + 100454 528.056 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 528.056 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (sqrt k)))) 528.057 * * * * [progress]: [ 54 / 234 ] simplifiying candidate # 528.057 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) 528.057 * * [simplify]: iters left: 6 (13 enodes) 528.066 * * [simplify]: iters left: 5 (47 enodes) 528.081 * * [simplify]: iters left: 4 (76 enodes) 528.104 * * [simplify]: iters left: 3 (109 enodes) 528.120 * * [simplify]: iters left: 2 (202 enodes) 528.197 * * [simplify]: Extracting #0: cost 1 inf + 0 528.197 * * [simplify]: Extracting #1: cost 16 inf + 0 528.197 * * [simplify]: Extracting #2: cost 69 inf + 1 528.197 * * [simplify]: Extracting #3: cost 88 inf + 6 528.198 * * [simplify]: Extracting #4: cost 80 inf + 508 528.200 * * [simplify]: Extracting #5: cost 31 inf + 16921 528.204 * * [simplify]: Extracting #6: cost 3 inf + 28307 528.210 * * [simplify]: Extracting #7: cost 0 inf + 29875 528.216 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 528.216 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (sqrt k)))) 528.216 * * * * [progress]: [ 55 / 234 ] simplifiying candidate # 528.216 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 528.216 * * [simplify]: iters left: 6 (14 enodes) 528.221 * * [simplify]: iters left: 5 (58 enodes) 528.230 * * [simplify]: iters left: 4 (96 enodes) 528.248 * * [simplify]: iters left: 3 (166 enodes) 528.301 * * [simplify]: iters left: 2 (362 enodes) 528.522 * * [simplify]: Extracting #0: cost 1 inf + 0 528.522 * * [simplify]: Extracting #1: cost 13 inf + 0 528.522 * * [simplify]: Extracting #2: cost 92 inf + 1 528.523 * * [simplify]: Extracting #3: cost 177 inf + 255 528.524 * * [simplify]: Extracting #4: cost 152 inf + 4582 528.526 * * [simplify]: Extracting #5: cost 122 inf + 8806 528.530 * * [simplify]: Extracting #6: cost 50 inf + 29310 528.538 * * [simplify]: Extracting #7: cost 14 inf + 43632 528.547 * * [simplify]: Extracting #8: cost 0 inf + 56840 528.556 * * [simplify]: Extracting #9: cost 0 inf + 54971 528.566 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) 528.566 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k)))) 528.566 * * * * [progress]: [ 56 / 234 ] simplifiying candidate # 528.566 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 528.566 * * [simplify]: iters left: 6 (15 enodes) 528.571 * * [simplify]: iters left: 5 (59 enodes) 528.588 * * [simplify]: iters left: 4 (92 enodes) 528.603 * * [simplify]: iters left: 3 (160 enodes) 528.649 * * [simplify]: iters left: 2 (360 enodes) 528.825 * * [simplify]: Extracting #0: cost 1 inf + 0 528.825 * * [simplify]: Extracting #1: cost 12 inf + 0 528.825 * * [simplify]: Extracting #2: cost 112 inf + 1 528.826 * * [simplify]: Extracting #3: cost 232 inf + 296 528.827 * * [simplify]: Extracting #4: cost 217 inf + 3578 528.831 * * [simplify]: Extracting #5: cost 134 inf + 20396 528.840 * * [simplify]: Extracting #6: cost 41 inf + 47228 528.860 * * [simplify]: Extracting #7: cost 7 inf + 72318 528.874 * * [simplify]: Extracting #8: cost 0 inf + 79462 528.892 * * [simplify]: Extracting #9: cost 0 inf + 79306 528.921 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) 528.921 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k)))) 528.921 * * * * [progress]: [ 57 / 234 ] simplifiying candidate # 528.922 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 528.922 * * [simplify]: iters left: 6 (14 enodes) 528.930 * * [simplify]: iters left: 5 (54 enodes) 528.948 * * [simplify]: iters left: 4 (85 enodes) 528.964 * * [simplify]: iters left: 3 (146 enodes) 529.001 * * [simplify]: iters left: 2 (293 enodes) 529.119 * * [simplify]: Extracting #0: cost 1 inf + 0 529.119 * * [simplify]: Extracting #1: cost 13 inf + 0 529.119 * * [simplify]: Extracting #2: cost 87 inf + 1 529.120 * * [simplify]: Extracting #3: cost 159 inf + 7 529.120 * * [simplify]: Extracting #4: cost 159 inf + 342 529.121 * * [simplify]: Extracting #5: cost 127 inf + 4633 529.124 * * [simplify]: Extracting #6: cost 63 inf + 23123 529.141 * * [simplify]: Extracting #7: cost 4 inf + 48575 529.150 * * [simplify]: Extracting #8: cost 0 inf + 50465 529.160 * * [simplify]: Extracting #9: cost 0 inf + 50370 529.173 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 529.173 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (sqrt k)))) 529.173 * * * * [progress]: [ 58 / 234 ] simplifiying candidate # 529.174 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 529.174 * * [simplify]: iters left: 6 (15 enodes) 529.182 * * [simplify]: iters left: 5 (59 enodes) 529.202 * * [simplify]: iters left: 4 (94 enodes) 529.228 * * [simplify]: iters left: 3 (165 enodes) 529.271 * * [simplify]: iters left: 2 (386 enodes) 529.473 * * [simplify]: Extracting #0: cost 1 inf + 0 529.473 * * [simplify]: Extracting #1: cost 12 inf + 0 529.474 * * [simplify]: Extracting #2: cost 114 inf + 1 529.475 * * [simplify]: Extracting #3: cost 241 inf + 256 529.476 * * [simplify]: Extracting #4: cost 226 inf + 3217 529.479 * * [simplify]: Extracting #5: cost 143 inf + 20865 529.489 * * [simplify]: Extracting #6: cost 33 inf + 54524 529.503 * * [simplify]: Extracting #7: cost 6 inf + 74905 529.521 * * [simplify]: Extracting #8: cost 0 inf + 81363 529.536 * * [simplify]: Extracting #9: cost 0 inf + 80795 529.551 * * [simplify]: Extracting #10: cost 0 inf + 80558 529.565 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 529.565 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k)))) 529.566 * * * * [progress]: [ 59 / 234 ] simplifiying candidate # 529.566 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) 529.566 * * [simplify]: iters left: 6 (13 enodes) 529.570 * * [simplify]: iters left: 5 (51 enodes) 529.586 * * [simplify]: iters left: 4 (72 enodes) 529.604 * * [simplify]: iters left: 3 (113 enodes) 529.626 * * [simplify]: iters left: 2 (208 enodes) 529.685 * * [simplify]: iters left: 1 (409 enodes) 529.927 * * [simplify]: Extracting #0: cost 1 inf + 0 529.927 * * [simplify]: Extracting #1: cost 27 inf + 0 529.928 * * [simplify]: Extracting #2: cost 154 inf + 1 529.930 * * [simplify]: Extracting #3: cost 265 inf + 300 529.932 * * [simplify]: Extracting #4: cost 247 inf + 2506 529.936 * * [simplify]: Extracting #5: cost 224 inf + 4948 529.943 * * [simplify]: Extracting #6: cost 174 inf + 14493 529.968 * * [simplify]: Extracting #7: cost 55 inf + 51302 529.999 * * [simplify]: Extracting #8: cost 2 inf + 94422 530.030 * * [simplify]: Extracting #9: cost 0 inf + 92725 530.062 * * [simplify]: Extracting #10: cost 0 inf + 92555 530.081 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 530.081 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k)))) 530.081 * * * * [progress]: [ 60 / 234 ] simplifiying candidate # 530.082 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) 530.082 * * [simplify]: iters left: 6 (13 enodes) 530.086 * * [simplify]: iters left: 5 (49 enodes) 530.096 * * [simplify]: iters left: 4 (73 enodes) 530.119 * * [simplify]: iters left: 3 (120 enodes) 530.160 * * [simplify]: iters left: 2 (220 enodes) 530.236 * * [simplify]: iters left: 1 (478 enodes) 530.621 * * [simplify]: Extracting #0: cost 1 inf + 0 530.621 * * [simplify]: Extracting #1: cost 34 inf + 0 530.621 * * [simplify]: Extracting #2: cost 169 inf + 1 530.623 * * [simplify]: Extracting #3: cost 304 inf + 425 530.625 * * [simplify]: Extracting #4: cost 246 inf + 6993 530.631 * * [simplify]: Extracting #5: cost 141 inf + 27466 530.654 * * [simplify]: Extracting #6: cost 26 inf + 79298 530.680 * * [simplify]: Extracting #7: cost 0 inf + 102462 530.712 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 530.712 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (sqrt k)))) 530.712 * * * * [progress]: [ 61 / 234 ] simplifiying candidate # 530.712 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 530.713 * * [simplify]: iters left: 6 (14 enodes) 530.717 * * [simplify]: iters left: 5 (54 enodes) 530.726 * * [simplify]: iters left: 4 (83 enodes) 530.750 * * [simplify]: iters left: 3 (144 enodes) 530.783 * * [simplify]: iters left: 2 (289 enodes) 530.882 * * [simplify]: Extracting #0: cost 1 inf + 0 530.882 * * [simplify]: Extracting #1: cost 13 inf + 0 530.882 * * [simplify]: Extracting #2: cost 87 inf + 1 530.883 * * [simplify]: Extracting #3: cost 159 inf + 7 530.885 * * [simplify]: Extracting #4: cost 133 inf + 4099 530.888 * * [simplify]: Extracting #5: cost 117 inf + 6206 530.893 * * [simplify]: Extracting #6: cost 75 inf + 15900 530.904 * * [simplify]: Extracting #7: cost 23 inf + 34206 530.920 * * [simplify]: Extracting #8: cost 3 inf + 49035 530.941 * * [simplify]: Extracting #9: cost 0 inf + 52188 530.959 * * [simplify]: Extracting #10: cost 0 inf + 51879 530.976 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 530.976 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (sqrt k)))) 530.976 * * * * [progress]: [ 62 / 234 ] simplifiying candidate # 530.976 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) 530.976 * * [simplify]: iters left: 6 (13 enodes) 530.983 * * [simplify]: iters left: 5 (49 enodes) 530.999 * * [simplify]: iters left: 4 (72 enodes) 531.022 * * [simplify]: iters left: 3 (120 enodes) 531.063 * * [simplify]: iters left: 2 (223 enodes) 531.140 * * [simplify]: iters left: 1 (484 enodes) 531.534 * * [simplify]: Extracting #0: cost 1 inf + 0 531.534 * * [simplify]: Extracting #1: cost 34 inf + 0 531.535 * * [simplify]: Extracting #2: cost 170 inf + 1 531.537 * * [simplify]: Extracting #3: cost 292 inf + 220 531.540 * * [simplify]: Extracting #4: cost 280 inf + 1452 531.550 * * [simplify]: Extracting #5: cost 159 inf + 22494 531.584 * * [simplify]: Extracting #6: cost 37 inf + 62742 531.609 * * [simplify]: Extracting #7: cost 0 inf + 91400 531.640 * * [simplify]: Extracting #8: cost 0 inf + 91019 531.672 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 531.672 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (sqrt k)))) 531.672 * * * * [progress]: [ 63 / 234 ] simplifiying candidate # 531.673 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) 531.673 * * [simplify]: iters left: 6 (12 enodes) 531.679 * * [simplify]: iters left: 5 (44 enodes) 531.694 * * [simplify]: iters left: 4 (73 enodes) 531.719 * * [simplify]: iters left: 3 (110 enodes) 531.754 * * [simplify]: iters left: 2 (215 enodes) 531.833 * * [simplify]: Extracting #0: cost 1 inf + 0 531.833 * * [simplify]: Extracting #1: cost 17 inf + 0 531.833 * * [simplify]: Extracting #2: cost 77 inf + 1 531.833 * * [simplify]: Extracting #3: cost 99 inf + 6 531.834 * * [simplify]: Extracting #4: cost 94 inf + 425 531.835 * * [simplify]: Extracting #5: cost 54 inf + 9620 531.839 * * [simplify]: Extracting #6: cost 13 inf + 29073 531.845 * * [simplify]: Extracting #7: cost 0 inf + 36658 531.852 * * [simplify]: Extracting #8: cost 0 inf + 36318 531.864 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 531.864 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 531.865 * * * * [progress]: [ 64 / 234 ] simplifiying candidate # 531.865 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 531.865 * * [simplify]: iters left: 6 (11 enodes) 531.872 * * [simplify]: iters left: 5 (48 enodes) 531.889 * * [simplify]: iters left: 4 (86 enodes) 531.919 * * [simplify]: iters left: 3 (155 enodes) 531.995 * * [simplify]: iters left: 2 (300 enodes) 532.184 * * [simplify]: Extracting #0: cost 1 inf + 0 532.184 * * [simplify]: Extracting #1: cost 13 inf + 0 532.184 * * [simplify]: Extracting #2: cost 91 inf + 0 532.185 * * [simplify]: Extracting #3: cost 184 inf + 8 532.186 * * [simplify]: Extracting #4: cost 142 inf + 6775 532.190 * * [simplify]: Extracting #5: cost 28 inf + 31749 532.196 * * [simplify]: Extracting #6: cost 7 inf + 42461 532.203 * * [simplify]: Extracting #7: cost 0 inf + 48584 532.213 * * [simplify]: Extracting #8: cost 0 inf + 48171 532.222 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 532.222 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k)))) 532.222 * * * * [progress]: [ 65 / 234 ] simplifiying candidate # 532.222 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 532.223 * * [simplify]: iters left: 6 (12 enodes) 532.229 * * [simplify]: iters left: 5 (49 enodes) 532.247 * * [simplify]: iters left: 4 (82 enodes) 532.275 * * [simplify]: iters left: 3 (152 enodes) 532.329 * * [simplify]: iters left: 2 (314 enodes) 532.455 * * [simplify]: Extracting #0: cost 1 inf + 0 532.455 * * [simplify]: Extracting #1: cost 12 inf + 0 532.455 * * [simplify]: Extracting #2: cost 95 inf + 1 532.456 * * [simplify]: Extracting #3: cost 173 inf + 739 532.459 * * [simplify]: Extracting #4: cost 82 inf + 21246 532.466 * * [simplify]: Extracting #5: cost 17 inf + 41542 532.475 * * [simplify]: Extracting #6: cost 0 inf + 57328 532.485 * * [simplify]: Extracting #7: cost 0 inf + 55491 532.494 * * [simplify]: Extracting #8: cost 0 inf + 54978 532.506 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 532.506 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k)))) 532.506 * * * * [progress]: [ 66 / 234 ] simplifiying candidate # 532.506 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 532.506 * * [simplify]: iters left: 6 (11 enodes) 532.510 * * [simplify]: iters left: 5 (44 enodes) 532.518 * * [simplify]: iters left: 4 (75 enodes) 532.532 * * [simplify]: iters left: 3 (135 enodes) 532.558 * * [simplify]: iters left: 2 (257 enodes) 532.680 * * [simplify]: Extracting #0: cost 1 inf + 0 532.680 * * [simplify]: Extracting #1: cost 12 inf + 0 532.680 * * [simplify]: Extracting #2: cost 67 inf + 1 532.680 * * [simplify]: Extracting #3: cost 114 inf + 7 532.681 * * [simplify]: Extracting #4: cost 104 inf + 911 532.689 * * [simplify]: Extracting #5: cost 42 inf + 14168 532.698 * * [simplify]: Extracting #6: cost 5 inf + 30729 532.709 * * [simplify]: Extracting #7: cost 0 inf + 35035 532.720 * * [simplify]: Extracting #8: cost 0 inf + 34742 532.731 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 532.731 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k)))) 532.732 * * * * [progress]: [ 67 / 234 ] simplifiying candidate # 532.732 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 532.732 * * [simplify]: iters left: 6 (12 enodes) 532.740 * * [simplify]: iters left: 5 (49 enodes) 532.756 * * [simplify]: iters left: 4 (84 enodes) 532.785 * * [simplify]: iters left: 3 (157 enodes) 532.828 * * [simplify]: iters left: 2 (349 enodes) 532.984 * * [simplify]: Extracting #0: cost 1 inf + 0 532.984 * * [simplify]: Extracting #1: cost 13 inf + 0 532.984 * * [simplify]: Extracting #2: cost 104 inf + 1 532.985 * * [simplify]: Extracting #3: cost 208 inf + 742 532.989 * * [simplify]: Extracting #4: cost 99 inf + 23626 532.998 * * [simplify]: Extracting #5: cost 10 inf + 51587 533.008 * * [simplify]: Extracting #6: cost 0 inf + 59406 533.024 * * [simplify]: Extracting #7: cost 0 inf + 59204 533.047 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 533.047 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k)))) 533.047 * * * * [progress]: [ 68 / 234 ] simplifiying candidate # 533.048 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 533.048 * * [simplify]: iters left: 6 (10 enodes) 533.051 * * [simplify]: iters left: 5 (41 enodes) 533.058 * * [simplify]: iters left: 4 (63 enodes) 533.072 * * [simplify]: iters left: 3 (106 enodes) 533.109 * * [simplify]: iters left: 2 (170 enodes) 533.172 * * [simplify]: iters left: 1 (274 enodes) 533.294 * * [simplify]: Extracting #0: cost 1 inf + 0 533.294 * * [simplify]: Extracting #1: cost 34 inf + 0 533.295 * * [simplify]: Extracting #2: cost 96 inf + 2 533.296 * * [simplify]: Extracting #3: cost 83 inf + 2529 533.301 * * [simplify]: Extracting #4: cost 46 inf + 22891 533.310 * * [simplify]: Extracting #5: cost 2 inf + 52042 533.321 * * [simplify]: Extracting #6: cost 0 inf + 52881 533.332 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 533.332 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k)))) 533.332 * * * * [progress]: [ 69 / 234 ] simplifiying candidate # 533.333 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 533.333 * * [simplify]: iters left: 6 (10 enodes) 533.339 * * [simplify]: iters left: 5 (39 enodes) 533.353 * * [simplify]: iters left: 4 (63 enodes) 533.375 * * [simplify]: iters left: 3 (109 enodes) 533.413 * * [simplify]: iters left: 2 (194 enodes) 533.499 * * [simplify]: iters left: 1 (379 enodes) 533.669 * * [simplify]: Extracting #0: cost 1 inf + 0 533.670 * * [simplify]: Extracting #1: cost 36 inf + 0 533.670 * * [simplify]: Extracting #2: cost 115 inf + 1 533.671 * * [simplify]: Extracting #3: cost 130 inf + 921 533.676 * * [simplify]: Extracting #4: cost 84 inf + 12198 533.686 * * [simplify]: Extracting #5: cost 46 inf + 29266 533.704 * * [simplify]: Extracting #6: cost 6 inf + 65568 533.729 * * [simplify]: Extracting #7: cost 0 inf + 70626 533.750 * * [simplify]: Extracting #8: cost 0 inf + 69382 533.771 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 533.771 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k)))) 533.771 * * * * [progress]: [ 70 / 234 ] simplifiying candidate # 533.772 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 533.772 * * [simplify]: iters left: 6 (11 enodes) 533.779 * * [simplify]: iters left: 5 (42 enodes) 533.792 * * [simplify]: iters left: 4 (67 enodes) 533.815 * * [simplify]: iters left: 3 (113 enodes) 533.850 * * [simplify]: iters left: 2 (227 enodes) 533.909 * * [simplify]: iters left: 1 (460 enodes) 534.201 * * [simplify]: Extracting #0: cost 1 inf + 0 534.201 * * [simplify]: Extracting #1: cost 27 inf + 0 534.201 * * [simplify]: Extracting #2: cost 128 inf + 1 534.202 * * [simplify]: Extracting #3: cost 230 inf + 336 534.204 * * [simplify]: Extracting #4: cost 174 inf + 9113 534.212 * * [simplify]: Extracting #5: cost 47 inf + 41174 534.224 * * [simplify]: Extracting #6: cost 8 inf + 76412 534.252 * * [simplify]: Extracting #7: cost 0 inf + 84921 534.284 * * [simplify]: Extracting #8: cost 0 inf + 84670 534.311 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 534.311 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k)))) 534.311 * * * * [progress]: [ 71 / 234 ] simplifiying candidate # 534.311 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 534.311 * * [simplify]: iters left: 5 (10 enodes) 534.315 * * [simplify]: iters left: 4 (37 enodes) 534.321 * * [simplify]: iters left: 3 (58 enodes) 534.331 * * [simplify]: iters left: 2 (98 enodes) 534.359 * * [simplify]: iters left: 1 (170 enodes) 534.421 * * [simplify]: Extracting #0: cost 1 inf + 0 534.421 * * [simplify]: Extracting #1: cost 12 inf + 0 534.421 * * [simplify]: Extracting #2: cost 51 inf + 1 534.422 * * [simplify]: Extracting #3: cost 75 inf + 6 534.422 * * [simplify]: Extracting #4: cost 65 inf + 882 534.423 * * [simplify]: Extracting #5: cost 36 inf + 4827 534.425 * * [simplify]: Extracting #6: cost 11 inf + 14483 534.429 * * [simplify]: Extracting #7: cost 0 inf + 23347 534.432 * * [simplify]: Extracting #8: cost 0 inf + 23054 534.435 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 534.436 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k)))) 534.436 * * * * [progress]: [ 72 / 234 ] simplifiying candidate # 534.436 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 534.436 * * [simplify]: iters left: 5 (9 enodes) 534.440 * * [simplify]: iters left: 4 (35 enodes) 534.447 * * [simplify]: iters left: 3 (65 enodes) 534.464 * * [simplify]: iters left: 2 (106 enodes) 534.486 * * [simplify]: iters left: 1 (178 enodes) 534.523 * * [simplify]: Extracting #0: cost 1 inf + 0 534.523 * * [simplify]: Extracting #1: cost 18 inf + 0 534.523 * * [simplify]: Extracting #2: cost 35 inf + 46 534.523 * * [simplify]: Extracting #3: cost 27 inf + 930 534.524 * * [simplify]: Extracting #4: cost 12 inf + 6845 534.525 * * [simplify]: Extracting #5: cost 1 inf + 11470 534.527 * * [simplify]: Extracting #6: cost 0 inf + 11764 534.528 * [simplify]: Simplified to (* (* PI 2) n) 534.529 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 534.529 * * * * [progress]: [ 73 / 234 ] simplifiying candidate # 534.529 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 534.529 * * [simplify]: iters left: 6 (10 enodes) 534.532 * * [simplify]: iters left: 5 (41 enodes) 534.539 * * [simplify]: iters left: 4 (66 enodes) 534.551 * * [simplify]: iters left: 3 (116 enodes) 534.583 * * [simplify]: iters left: 2 (219 enodes) 534.701 * * [simplify]: Extracting #0: cost 1 inf + 0 534.701 * * [simplify]: Extracting #1: cost 12 inf + 0 534.701 * * [simplify]: Extracting #2: cost 69 inf + 1 534.702 * * [simplify]: Extracting #3: cost 115 inf + 6 534.703 * * [simplify]: Extracting #4: cost 104 inf + 1247 534.707 * * [simplify]: Extracting #5: cost 56 inf + 11061 534.716 * * [simplify]: Extracting #6: cost 4 inf + 34062 534.728 * * [simplify]: Extracting #7: cost 0 inf + 35882 534.739 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 534.739 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k)))) 534.739 * * * * [progress]: [ 74 / 234 ] simplifiying candidate # 534.740 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 534.740 * * [simplify]: iters left: 5 (9 enodes) 534.745 * * [simplify]: iters left: 4 (36 enodes) 534.756 * * [simplify]: iters left: 3 (57 enodes) 534.767 * * [simplify]: iters left: 2 (96 enodes) 534.788 * * [simplify]: iters left: 1 (171 enodes) 534.845 * * [simplify]: Extracting #0: cost 1 inf + 0 534.845 * * [simplify]: Extracting #1: cost 12 inf + 0 534.845 * * [simplify]: Extracting #2: cost 50 inf + 1 534.846 * * [simplify]: Extracting #3: cost 75 inf + 6 534.846 * * [simplify]: Extracting #4: cost 59 inf + 1253 534.847 * * [simplify]: Extracting #5: cost 25 inf + 8058 534.850 * * [simplify]: Extracting #6: cost 3 inf + 20149 534.854 * * [simplify]: Extracting #7: cost 0 inf + 22178 534.857 * * [simplify]: Extracting #8: cost 0 inf + 22007 534.864 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 534.864 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k)))) 534.864 * * * * [progress]: [ 75 / 234 ] simplifiying candidate # 534.864 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 534.864 * * [simplify]: iters left: 5 (8 enodes) 534.870 * * [simplify]: iters left: 4 (34 enodes) 534.885 * * [simplify]: iters left: 3 (64 enodes) 534.909 * * [simplify]: iters left: 2 (105 enodes) 534.950 * * [simplify]: iters left: 1 (177 enodes) 535.000 * * [simplify]: Extracting #0: cost 1 inf + 0 535.000 * * [simplify]: Extracting #1: cost 17 inf + 0 535.001 * * [simplify]: Extracting #2: cost 34 inf + 46 535.001 * * [simplify]: Extracting #3: cost 26 inf + 466 535.001 * * [simplify]: Extracting #4: cost 11 inf + 6543 535.003 * * [simplify]: Extracting #5: cost 1 inf + 10885 535.004 * * [simplify]: Extracting #6: cost 0 inf + 11179 535.006 * [simplify]: Simplified to (* (* PI 2) n) 535.006 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 535.006 * * * * [progress]: [ 76 / 234 ] simplifiying candidate # 535.006 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 535.006 * * [simplify]: iters left: 6 (12 enodes) 535.010 * * [simplify]: iters left: 5 (52 enodes) 535.023 * * [simplify]: iters left: 4 (94 enodes) 535.059 * * [simplify]: iters left: 3 (169 enodes) 535.120 * * [simplify]: iters left: 2 (354 enodes) 535.250 * * [simplify]: Extracting #0: cost 1 inf + 0 535.250 * * [simplify]: Extracting #1: cost 13 inf + 0 535.251 * * [simplify]: Extracting #2: cost 83 inf + 1 535.251 * * [simplify]: Extracting #3: cost 178 inf + 6 535.253 * * [simplify]: Extracting #4: cost 164 inf + 10984 535.263 * * [simplify]: Extracting #5: cost 31 inf + 45242 535.272 * * [simplify]: Extracting #6: cost 0 inf + 58421 535.290 * * [simplify]: Extracting #7: cost 0 inf + 57935 535.310 * * [simplify]: Extracting #8: cost 0 inf + 57804 535.329 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 535.329 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (sqrt k)))) 535.330 * * * * [progress]: [ 77 / 234 ] simplifiying candidate # 535.330 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) 535.330 * * [simplify]: iters left: 5 (11 enodes) 535.334 * * [simplify]: iters left: 4 (47 enodes) 535.342 * * [simplify]: iters left: 3 (80 enodes) 535.355 * * [simplify]: iters left: 2 (135 enodes) 535.769 * * [simplify]: iters left: 1 (261 enodes) 535.881 * * [simplify]: Extracting #0: cost 1 inf + 0 535.882 * * [simplify]: Extracting #1: cost 13 inf + 0 535.882 * * [simplify]: Extracting #2: cost 66 inf + 1 535.882 * * [simplify]: Extracting #3: cost 127 inf + 6 535.883 * * [simplify]: Extracting #4: cost 140 inf + 427 535.885 * * [simplify]: Extracting #5: cost 63 inf + 13922 535.890 * * [simplify]: Extracting #6: cost 2 inf + 35374 535.896 * * [simplify]: Extracting #7: cost 0 inf + 36433 535.903 * * [simplify]: Extracting #8: cost 0 inf + 36343 535.909 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) 535.909 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (sqrt k)))) 535.909 * * * * [progress]: [ 78 / 234 ] simplifiying candidate # 535.910 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 535.910 * * [simplify]: iters left: 5 (10 enodes) 535.916 * * [simplify]: iters left: 4 (42 enodes) 535.929 * * [simplify]: iters left: 3 (74 enodes) 535.940 * * [simplify]: iters left: 2 (111 enodes) 535.961 * * [simplify]: iters left: 1 (185 enodes) 536.030 * * [simplify]: Extracting #0: cost 1 inf + 0 536.030 * * [simplify]: Extracting #1: cost 13 inf + 0 536.030 * * [simplify]: Extracting #2: cost 62 inf + 1 536.030 * * [simplify]: Extracting #3: cost 84 inf + 379 536.031 * * [simplify]: Extracting #4: cost 59 inf + 3407 536.033 * * [simplify]: Extracting #5: cost 19 inf + 14227 536.037 * * [simplify]: Extracting #6: cost 0 inf + 27730 536.041 * * [simplify]: Extracting #7: cost 0 inf + 26782 536.044 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 536.044 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ (/ 1 2) 2)) (sqrt k)))) 536.045 * * * * [progress]: [ 79 / 234 ] simplifiying candidate # 536.045 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 536.045 * * [simplify]: iters left: 5 (7 enodes) 536.047 * * [simplify]: iters left: 4 (30 enodes) 536.054 * * [simplify]: iters left: 3 (58 enodes) 536.066 * * [simplify]: iters left: 2 (99 enodes) 536.091 * * [simplify]: iters left: 1 (171 enodes) 536.157 * * [simplify]: Extracting #0: cost 1 inf + 0 536.157 * * [simplify]: Extracting #1: cost 18 inf + 0 536.157 * * [simplify]: Extracting #2: cost 35 inf + 46 536.158 * * [simplify]: Extracting #3: cost 25 inf + 1347 536.159 * * [simplify]: Extracting #4: cost 14 inf + 5442 536.161 * * [simplify]: Extracting #5: cost 7 inf + 7909 536.164 * * [simplify]: Extracting #6: cost 0 inf + 11764 536.167 * [simplify]: Simplified to (* (* PI 2) n) 536.167 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 536.168 * * * * [progress]: [ 80 / 234 ] simplifiying candidate # 536.168 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 536.168 * * [simplify]: iters left: 5 (10 enodes) 536.174 * * [simplify]: iters left: 4 (45 enodes) 536.189 * * [simplify]: iters left: 3 (78 enodes) 536.214 * * [simplify]: iters left: 2 (120 enodes) 536.235 * * [simplify]: iters left: 1 (205 enodes) 536.275 * * [simplify]: Extracting #0: cost 1 inf + 0 536.275 * * [simplify]: Extracting #1: cost 13 inf + 0 536.275 * * [simplify]: Extracting #2: cost 64 inf + 1 536.276 * * [simplify]: Extracting #3: cost 99 inf + 49 536.276 * * [simplify]: Extracting #4: cost 97 inf + 806 536.277 * * [simplify]: Extracting #5: cost 58 inf + 4778 536.282 * * [simplify]: Extracting #6: cost 15 inf + 17624 536.293 * * [simplify]: Extracting #7: cost 1 inf + 26643 536.298 * * [simplify]: Extracting #8: cost 0 inf + 26968 536.302 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 536.302 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 2)) (sqrt k)))) 536.302 * * * * [progress]: [ 81 / 234 ] simplifiying candidate # 536.302 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 536.302 * * [simplify]: iters left: 6 (8 enodes) 536.305 * * [simplify]: iters left: 5 (38 enodes) 536.313 * * [simplify]: iters left: 4 (66 enodes) 536.325 * * [simplify]: iters left: 3 (112 enodes) 536.364 * * [simplify]: iters left: 2 (214 enodes) 536.456 * * [simplify]: iters left: 1 (443 enodes) 536.675 * * [simplify]: Extracting #0: cost 1 inf + 0 536.675 * * [simplify]: Extracting #1: cost 29 inf + 0 536.676 * * [simplify]: Extracting #2: cost 107 inf + 2 536.676 * * [simplify]: Extracting #3: cost 174 inf + 10 536.678 * * [simplify]: Extracting #4: cost 159 inf + 3343 536.682 * * [simplify]: Extracting #5: cost 62 inf + 19318 536.698 * * [simplify]: Extracting #6: cost 6 inf + 54396 536.716 * * [simplify]: Extracting #7: cost 0 inf + 60233 536.734 * * [simplify]: Extracting #8: cost 0 inf + 59720 536.749 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 536.749 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 536.750 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 536.750 * * [simplify]: iters left: 6 (9 enodes) 536.753 * * [simplify]: iters left: 5 (42 enodes) 536.761 * * [simplify]: iters left: 4 (70 enodes) 536.779 * * [simplify]: iters left: 3 (120 enodes) 536.821 * * [simplify]: iters left: 2 (236 enodes) 536.871 * * [simplify]: iters left: 1 (442 enodes) 537.076 * * [simplify]: Extracting #0: cost 1 inf + 0 537.076 * * [simplify]: Extracting #1: cost 27 inf + 0 537.077 * * [simplify]: Extracting #2: cost 112 inf + 1 537.078 * * [simplify]: Extracting #3: cost 188 inf + 94 537.080 * * [simplify]: Extracting #4: cost 186 inf + 929 537.085 * * [simplify]: Extracting #5: cost 101 inf + 11038 537.097 * * [simplify]: Extracting #6: cost 28 inf + 41171 537.121 * * [simplify]: Extracting #7: cost 0 inf + 65078 537.141 * * [simplify]: Extracting #8: cost 0 inf + 63457 537.161 * * [simplify]: Extracting #9: cost 0 inf + 62651 537.181 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 537.181 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt k)))) 537.181 * * * * [progress]: [ 82 / 234 ] simplifiying candidate # 537.181 * * * * [progress]: [ 83 / 234 ] simplifiying candidate # 537.181 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 537.182 * * [simplify]: iters left: 6 (12 enodes) 537.189 * * [simplify]: iters left: 5 (56 enodes) 537.209 * * [simplify]: iters left: 4 (108 enodes) 537.248 * * [simplify]: iters left: 3 (245 enodes) 537.337 * * [simplify]: Extracting #0: cost 1 inf + 0 537.338 * * [simplify]: Extracting #1: cost 55 inf + 0 537.338 * * [simplify]: Extracting #2: cost 142 inf + 3 537.340 * * [simplify]: Extracting #3: cost 209 inf + 677 537.344 * * [simplify]: Extracting #4: cost 130 inf + 13156 537.355 * * [simplify]: Extracting #5: cost 18 inf + 36526 537.370 * * [simplify]: Extracting #6: cost 1 inf + 42976 537.377 * * [simplify]: Extracting #7: cost 0 inf + 43211 537.385 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (log (* (* PI 2) n)))) 537.385 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- 1 k) (/ 4 (log (* (* PI 2) n))))) (sqrt k)))) 537.385 * * * * [progress]: [ 84 / 234 ] simplifiying candidate # 537.386 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 537.386 * * [simplify]: iters left: 6 (12 enodes) 537.390 * * [simplify]: iters left: 5 (54 enodes) 537.409 * * [simplify]: iters left: 4 (92 enodes) 537.440 * * [simplify]: iters left: 3 (154 enodes) 537.501 * * [simplify]: iters left: 2 (300 enodes) 537.589 * * [simplify]: Extracting #0: cost 1 inf + 0 537.589 * * [simplify]: Extracting #1: cost 18 inf + 0 537.590 * * [simplify]: Extracting #2: cost 66 inf + 0 537.590 * * [simplify]: Extracting #3: cost 143 inf + 3 537.591 * * [simplify]: Extracting #4: cost 160 inf + 223 537.592 * * [simplify]: Extracting #5: cost 162 inf + 516 537.596 * * [simplify]: Extracting #6: cost 103 inf + 9939 537.609 * * [simplify]: Extracting #7: cost 35 inf + 40880 537.625 * * [simplify]: Extracting #8: cost 8 inf + 56016 537.640 * * [simplify]: Extracting #9: cost 1 inf + 58028 537.653 * * [simplify]: Extracting #10: cost 0 inf + 58142 537.660 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 537.660 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (log (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))) (sqrt k)))) 537.661 * * * * [progress]: [ 85 / 234 ] simplifiying candidate # 537.661 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 537.661 * * [simplify]: iters left: 6 (13 enodes) 537.665 * * [simplify]: iters left: 5 (57 enodes) 537.675 * * [simplify]: iters left: 4 (93 enodes) 537.702 * * [simplify]: iters left: 3 (149 enodes) 537.750 * * [simplify]: iters left: 2 (272 enodes) 537.832 * * [simplify]: iters left: 1 (485 enodes) 538.100 * * [simplify]: Extracting #0: cost 1 inf + 0 538.100 * * [simplify]: Extracting #1: cost 3 inf + 0 538.100 * * [simplify]: Extracting #2: cost 5 inf + 0 538.100 * * [simplify]: Extracting #3: cost 31 inf + 0 538.101 * * [simplify]: Extracting #4: cost 123 inf + 1 538.103 * * [simplify]: Extracting #5: cost 201 inf + 220 538.105 * * [simplify]: Extracting #6: cost 194 inf + 1310 538.112 * * [simplify]: Extracting #7: cost 83 inf + 16707 538.129 * * [simplify]: Extracting #8: cost 14 inf + 55928 538.152 * * [simplify]: Extracting #9: cost 0 inf + 68910 538.180 * * [simplify]: Extracting #10: cost 0 inf + 68317 538.194 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) 538.194 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))) 538.195 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 538.195 * * [simplify]: iters left: 6 (12 enodes) 538.199 * * [simplify]: iters left: 5 (54 enodes) 538.209 * * [simplify]: iters left: 4 (90 enodes) 538.231 * * [simplify]: iters left: 3 (149 enodes) 538.283 * * [simplify]: iters left: 2 (273 enodes) 538.381 * * [simplify]: iters left: 1 (481 enodes) 538.690 * * [simplify]: Extracting #0: cost 1 inf + 0 538.690 * * [simplify]: Extracting #1: cost 3 inf + 0 538.690 * * [simplify]: Extracting #2: cost 32 inf + 0 538.691 * * [simplify]: Extracting #3: cost 131 inf + 1 538.693 * * [simplify]: Extracting #4: cost 215 inf + 221 538.695 * * [simplify]: Extracting #5: cost 203 inf + 1968 538.704 * * [simplify]: Extracting #6: cost 81 inf + 23437 538.729 * * [simplify]: Extracting #7: cost 9 inf + 62468 538.763 * * [simplify]: Extracting #8: cost 0 inf + 66761 538.798 * * [simplify]: Extracting #9: cost 0 inf + 66158 538.837 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 538.837 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (sqrt k)))) 538.837 * * * * [progress]: [ 86 / 234 ] simplifiying candidate # 538.838 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 538.838 * * [simplify]: iters left: 6 (13 enodes) 538.842 * * [simplify]: iters left: 5 (60 enodes) 538.854 * * [simplify]: iters left: 4 (118 enodes) 538.881 * * [simplify]: iters left: 3 (255 enodes) 538.975 * * [simplify]: Extracting #0: cost 1 inf + 0 538.975 * * [simplify]: Extracting #1: cost 19 inf + 0 538.976 * * [simplify]: Extracting #2: cost 66 inf + 1 538.976 * * [simplify]: Extracting #3: cost 113 inf + 3 538.977 * * [simplify]: Extracting #4: cost 121 inf + 181 538.978 * * [simplify]: Extracting #5: cost 117 inf + 724 538.982 * * [simplify]: Extracting #6: cost 59 inf + 14521 538.991 * * [simplify]: Extracting #7: cost 15 inf + 35294 539.004 * * [simplify]: Extracting #8: cost 0 inf + 46043 539.017 * * [simplify]: Extracting #9: cost 0 inf + 45821 539.030 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))))) 539.030 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (cbrt (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))))) (sqrt k)))) 539.030 * * * * [progress]: [ 87 / 234 ] simplifiying candidate # 539.030 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 539.031 * * [simplify]: iters left: 6 (12 enodes) 539.038 * * [simplify]: iters left: 5 (54 enodes) 539.060 * * [simplify]: iters left: 4 (91 enodes) 539.083 * * [simplify]: iters left: 3 (147 enodes) 539.122 * * [simplify]: iters left: 2 (263 enodes) 539.194 * * [simplify]: iters left: 1 (483 enodes) 539.425 * * [simplify]: Extracting #0: cost 1 inf + 0 539.425 * * [simplify]: Extracting #1: cost 4 inf + 0 539.425 * * [simplify]: Extracting #2: cost 32 inf + 0 539.426 * * [simplify]: Extracting #3: cost 118 inf + 1 539.426 * * [simplify]: Extracting #4: cost 184 inf + 221 539.428 * * [simplify]: Extracting #5: cost 154 inf + 6308 539.438 * * [simplify]: Extracting #6: cost 52 inf + 28839 539.462 * * [simplify]: Extracting #7: cost 16 inf + 46925 539.480 * * [simplify]: Extracting #8: cost 0 inf + 59459 539.493 * * [simplify]: Extracting #9: cost 0 inf + 58419 539.505 * * [simplify]: Extracting #10: cost 0 inf + 58379 539.530 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 539.530 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))) 539.530 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 539.530 * * [simplify]: iters left: 6 (12 enodes) 539.538 * * [simplify]: iters left: 5 (54 enodes) 539.557 * * [simplify]: iters left: 4 (91 enodes) 539.575 * * [simplify]: iters left: 3 (147 enodes) 539.606 * * [simplify]: iters left: 2 (263 enodes) 539.684 * * [simplify]: iters left: 1 (483 enodes) 539.879 * * [simplify]: Extracting #0: cost 1 inf + 0 539.879 * * [simplify]: Extracting #1: cost 4 inf + 0 539.880 * * [simplify]: Extracting #2: cost 32 inf + 0 539.880 * * [simplify]: Extracting #3: cost 118 inf + 1 539.882 * * [simplify]: Extracting #4: cost 184 inf + 221 539.884 * * [simplify]: Extracting #5: cost 154 inf + 6308 539.896 * * [simplify]: Extracting #6: cost 52 inf + 28839 539.915 * * [simplify]: Extracting #7: cost 16 inf + 46925 539.939 * * [simplify]: Extracting #8: cost 0 inf + 59459 539.958 * * [simplify]: Extracting #9: cost 0 inf + 58419 539.973 * * [simplify]: Extracting #10: cost 0 inf + 58379 539.993 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 539.993 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (sqrt k)))) 539.993 * * * * [progress]: [ 88 / 234 ] simplifiying candidate # 539.993 * * * * [progress]: [ 89 / 234 ] simplifiying candidate # 539.993 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 539.994 * * [simplify]: iters left: 6 (12 enodes) 540.002 * * [simplify]: iters left: 5 (55 enodes) 540.022 * * [simplify]: iters left: 4 (97 enodes) 540.055 * * [simplify]: iters left: 3 (161 enodes) 540.104 * * [simplify]: iters left: 2 (302 enodes) 540.179 * * [simplify]: Extracting #0: cost 1 inf + 0 540.179 * * [simplify]: Extracting #1: cost 14 inf + 0 540.179 * * [simplify]: Extracting #2: cost 72 inf + 1 540.180 * * [simplify]: Extracting #3: cost 125 inf + 10 540.180 * * [simplify]: Extracting #4: cost 118 inf + 767 540.182 * * [simplify]: Extracting #5: cost 55 inf + 8389 540.193 * * [simplify]: Extracting #6: cost 15 inf + 19807 540.203 * * [simplify]: Extracting #7: cost 2 inf + 30022 540.214 * * [simplify]: Extracting #8: cost 0 inf + 31356 540.219 * * [simplify]: Extracting #9: cost 0 inf + 31315 540.224 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 540.224 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt k)))) 540.224 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 540.224 * * [simplify]: iters left: 6 (12 enodes) 540.228 * * [simplify]: iters left: 5 (55 enodes) 540.239 * * [simplify]: iters left: 4 (97 enodes) 540.259 * * [simplify]: iters left: 3 (161 enodes) 540.298 * * [simplify]: iters left: 2 (302 enodes) 540.359 * * [simplify]: Extracting #0: cost 1 inf + 0 540.360 * * [simplify]: Extracting #1: cost 14 inf + 0 540.360 * * [simplify]: Extracting #2: cost 72 inf + 1 540.360 * * [simplify]: Extracting #3: cost 125 inf + 10 540.361 * * [simplify]: Extracting #4: cost 118 inf + 767 540.362 * * [simplify]: Extracting #5: cost 55 inf + 8389 540.368 * * [simplify]: Extracting #6: cost 15 inf + 19807 540.373 * * [simplify]: Extracting #7: cost 2 inf + 30022 540.383 * * [simplify]: Extracting #8: cost 0 inf + 31356 540.393 * * [simplify]: Extracting #9: cost 0 inf + 31315 540.403 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 540.403 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) (sqrt k)))) 540.403 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))> 540.403 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 540.403 * * [simplify]: iters left: 6 (12 enodes) 540.411 * * [simplify]: iters left: 5 (51 enodes) 540.428 * * [simplify]: iters left: 4 (87 enodes) 540.447 * * [simplify]: iters left: 3 (146 enodes) 540.475 * * [simplify]: iters left: 2 (263 enodes) 540.528 * * [simplify]: iters left: 1 (491 enodes) 540.756 * * [simplify]: Extracting #0: cost 1 inf + 0 540.756 * * [simplify]: Extracting #1: cost 2 inf + 0 540.756 * * [simplify]: Extracting #2: cost 27 inf + 0 540.756 * * [simplify]: Extracting #3: cost 129 inf + 1 540.757 * * [simplify]: Extracting #4: cost 217 inf + 179 540.758 * * [simplify]: Extracting #5: cost 210 inf + 1229 540.762 * * [simplify]: Extracting #6: cost 99 inf + 15873 540.770 * * [simplify]: Extracting #7: cost 25 inf + 51561 540.782 * * [simplify]: Extracting #8: cost 0 inf + 72079 540.797 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) 540.797 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (sqrt k)))) 540.797 * * * * [progress]: [ 91 / 234 ] simplifiying candidate # 540.798 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 540.798 * * [simplify]: iters left: 6 (12 enodes) 540.802 * * [simplify]: iters left: 5 (54 enodes) 540.812 * * [simplify]: iters left: 4 (90 enodes) 540.831 * * [simplify]: iters left: 3 (149 enodes) 540.884 * * [simplify]: iters left: 2 (273 enodes) 540.959 * * [simplify]: iters left: 1 (481 enodes) 541.225 * * [simplify]: Extracting #0: cost 1 inf + 0 541.225 * * [simplify]: Extracting #1: cost 3 inf + 0 541.225 * * [simplify]: Extracting #2: cost 32 inf + 0 541.226 * * [simplify]: Extracting #3: cost 131 inf + 1 541.226 * * [simplify]: Extracting #4: cost 215 inf + 221 541.228 * * [simplify]: Extracting #5: cost 203 inf + 1968 541.232 * * [simplify]: Extracting #6: cost 81 inf + 23417 541.245 * * [simplify]: Extracting #7: cost 9 inf + 62448 541.279 * * [simplify]: Extracting #8: cost 0 inf + 66741 541.298 * * [simplify]: Extracting #9: cost 0 inf + 66138 541.322 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 4))) 541.322 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (log1p (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 541.322 * * * * [progress]: [ 92 / 234 ] simplifiying candidate # 541.322 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 541.323 * * [simplify]: iters left: 6 (12 enodes) 541.334 * * [simplify]: iters left: 5 (54 enodes) 541.352 * * [simplify]: iters left: 4 (90 enodes) 541.384 * * [simplify]: iters left: 3 (149 enodes) 541.416 * * [simplify]: iters left: 2 (273 enodes) 541.486 * * [simplify]: iters left: 1 (481 enodes) 541.758 * * [simplify]: Extracting #0: cost 1 inf + 0 541.758 * * [simplify]: Extracting #1: cost 3 inf + 0 541.758 * * [simplify]: Extracting #2: cost 32 inf + 0 541.758 * * [simplify]: Extracting #3: cost 131 inf + 1 541.759 * * [simplify]: Extracting #4: cost 215 inf + 221 541.760 * * [simplify]: Extracting #5: cost 203 inf + 1968 541.765 * * [simplify]: Extracting #6: cost 81 inf + 23457 541.777 * * [simplify]: Extracting #7: cost 9 inf + 62488 541.807 * * [simplify]: Extracting #8: cost 0 inf + 66781 541.842 * * [simplify]: Extracting #9: cost 0 inf + 66178 541.878 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (/ (- 1 k) 4))) 541.878 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (expm1 (log1p (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 541.879 * * * * [progress]: [ 93 / 234 ] simplifiying candidate # 541.879 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 541.879 * * [simplify]: iters left: 6 (14 enodes) 541.888 * * [simplify]: iters left: 5 (60 enodes) 541.912 * * [simplify]: iters left: 4 (108 enodes) 541.945 * * [simplify]: iters left: 3 (258 enodes) 542.030 * * [simplify]: Extracting #0: cost 1 inf + 0 542.030 * * [simplify]: Extracting #1: cost 34 inf + 0 542.031 * * [simplify]: Extracting #2: cost 106 inf + 73 542.031 * * [simplify]: Extracting #3: cost 152 inf + 1759 542.034 * * [simplify]: Extracting #4: cost 62 inf + 20422 542.041 * * [simplify]: Extracting #5: cost 9 inf + 33153 542.047 * * [simplify]: Extracting #6: cost 0 inf + 35665 542.054 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI)))) 542.054 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 4) (+ (log n) (+ (log 2) (log PI))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.055 * * * * [progress]: [ 94 / 234 ] simplifiying candidate # 542.055 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 542.055 * * [simplify]: iters left: 6 (13 enodes) 542.060 * * [simplify]: iters left: 5 (58 enodes) 542.081 * * [simplify]: iters left: 4 (101 enodes) 542.104 * * [simplify]: iters left: 3 (214 enodes) 542.182 * * [simplify]: Extracting #0: cost 1 inf + 0 542.182 * * [simplify]: Extracting #1: cost 28 inf + 0 542.182 * * [simplify]: Extracting #2: cost 90 inf + 73 542.183 * * [simplify]: Extracting #3: cost 137 inf + 780 542.186 * * [simplify]: Extracting #4: cost 82 inf + 8833 542.190 * * [simplify]: Extracting #5: cost 29 inf + 21151 542.195 * * [simplify]: Extracting #6: cost 3 inf + 26699 542.200 * * [simplify]: Extracting #7: cost 0 inf + 27452 542.206 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 542.206 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.207 * * * * [progress]: [ 95 / 234 ] simplifiying candidate # 542.207 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 542.207 * * [simplify]: iters left: 6 (12 enodes) 542.214 * * [simplify]: iters left: 5 (57 enodes) 542.224 * * [simplify]: iters left: 4 (111 enodes) 542.244 * * [simplify]: iters left: 3 (216 enodes) 542.317 * * [simplify]: Extracting #0: cost 1 inf + 0 542.317 * * [simplify]: Extracting #1: cost 30 inf + 0 542.317 * * [simplify]: Extracting #2: cost 99 inf + 2 542.318 * * [simplify]: Extracting #3: cost 140 inf + 399 542.319 * * [simplify]: Extracting #4: cost 78 inf + 8967 542.323 * * [simplify]: Extracting #5: cost 21 inf + 19840 542.334 * * [simplify]: Extracting #6: cost 0 inf + 24211 542.345 * * [simplify]: Extracting #7: cost 0 inf + 24126 542.351 * [simplify]: Simplified to (/ (* (- 1 k) (log (* (* PI 2) n))) 4) 542.351 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (* (- 1 k) (log (* (* PI 2) n))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.351 * * * * [progress]: [ 96 / 234 ] simplifiying candidate # 542.351 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 542.351 * * [simplify]: iters left: 6 (12 enodes) 542.355 * * [simplify]: iters left: 5 (57 enodes) 542.366 * * [simplify]: iters left: 4 (111 enodes) 542.391 * * [simplify]: iters left: 3 (216 enodes) 542.461 * * [simplify]: Extracting #0: cost 1 inf + 0 542.461 * * [simplify]: Extracting #1: cost 30 inf + 0 542.462 * * [simplify]: Extracting #2: cost 99 inf + 2 542.463 * * [simplify]: Extracting #3: cost 140 inf + 399 542.469 * * [simplify]: Extracting #4: cost 78 inf + 8967 542.475 * * [simplify]: Extracting #5: cost 21 inf + 19840 542.480 * * [simplify]: Extracting #6: cost 0 inf + 24211 542.485 * * [simplify]: Extracting #7: cost 0 inf + 24126 542.491 * [simplify]: Simplified to (/ (* (- 1 k) (log (* (* PI 2) n))) 4) 542.491 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (* (- 1 k) (log (* (* PI 2) n))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.491 * * * * [progress]: [ 97 / 234 ] simplifiying candidate # 542.491 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 542.491 * * [simplify]: iters left: 6 (7 enodes) 542.494 * * [simplify]: iters left: 5 (33 enodes) 542.502 * * [simplify]: iters left: 4 (59 enodes) 542.512 * * [simplify]: iters left: 3 (83 enodes) 542.529 * * [simplify]: iters left: 2 (119 enodes) 542.570 * * [simplify]: iters left: 1 (158 enodes) 542.628 * * [simplify]: Extracting #0: cost 1 inf + 0 542.628 * * [simplify]: Extracting #1: cost 17 inf + 0 542.629 * * [simplify]: Extracting #2: cost 33 inf + 5 542.629 * * [simplify]: Extracting #3: cost 33 inf + 8 542.630 * * [simplify]: Extracting #4: cost 6 inf + 1953 542.632 * * [simplify]: Extracting #5: cost 0 inf + 2405 542.633 * [simplify]: Simplified to (/ (- 1 k) 4) 542.633 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.634 * * * * [progress]: [ 98 / 234 ] simplifiying candidate # 542.634 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 542.634 * * [simplify]: iters left: 6 (7 enodes) 542.639 * * [simplify]: iters left: 5 (33 enodes) 542.652 * * [simplify]: iters left: 4 (59 enodes) 542.667 * * [simplify]: iters left: 3 (83 enodes) 542.682 * * [simplify]: iters left: 2 (119 enodes) 542.703 * * [simplify]: iters left: 1 (158 enodes) 542.733 * * [simplify]: Extracting #0: cost 1 inf + 0 542.733 * * [simplify]: Extracting #1: cost 17 inf + 0 542.733 * * [simplify]: Extracting #2: cost 33 inf + 5 542.733 * * [simplify]: Extracting #3: cost 33 inf + 8 542.734 * * [simplify]: Extracting #4: cost 6 inf + 1953 542.735 * * [simplify]: Extracting #5: cost 0 inf + 2405 542.736 * [simplify]: Simplified to (/ (- 1 k) 4) 542.736 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.736 * * * * [progress]: [ 99 / 234 ] simplifiying candidate # 542.736 * [simplify]: Simplifying (* 1 (/ (/ (- 1 k) 2) 2)) 542.736 * * [simplify]: iters left: 6 (7 enodes) 542.739 * * [simplify]: iters left: 5 (33 enodes) 542.752 * * [simplify]: iters left: 4 (59 enodes) 542.770 * * [simplify]: iters left: 3 (83 enodes) 542.786 * * [simplify]: iters left: 2 (119 enodes) 542.808 * * [simplify]: iters left: 1 (158 enodes) 542.867 * * [simplify]: Extracting #0: cost 1 inf + 0 542.867 * * [simplify]: Extracting #1: cost 17 inf + 0 542.867 * * [simplify]: Extracting #2: cost 33 inf + 5 542.867 * * [simplify]: Extracting #3: cost 33 inf + 8 542.868 * * [simplify]: Extracting #4: cost 6 inf + 1953 542.870 * * [simplify]: Extracting #5: cost 0 inf + 2405 542.871 * [simplify]: Simplified to (/ (- 1 k) 4) 542.871 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.871 * * * * [progress]: [ 100 / 234 ] simplifiying candidate # 542.871 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) 542.871 * * [simplify]: iters left: 5 (9 enodes) 542.878 * * [simplify]: iters left: 4 (42 enodes) 542.886 * * [simplify]: iters left: 3 (71 enodes) 542.900 * * [simplify]: iters left: 2 (117 enodes) 542.926 * * [simplify]: iters left: 1 (181 enodes) 542.961 * * [simplify]: Extracting #0: cost 1 inf + 0 542.962 * * [simplify]: Extracting #1: cost 12 inf + 0 542.962 * * [simplify]: Extracting #2: cost 40 inf + 2 542.962 * * [simplify]: Extracting #3: cost 39 inf + 51 542.963 * * [simplify]: Extracting #4: cost 26 inf + 2784 542.965 * * [simplify]: Extracting #5: cost 4 inf + 12523 542.969 * * [simplify]: Extracting #6: cost 0 inf + 14914 542.975 * [simplify]: Simplified to (pow (* (* PI 2) n) 1/4) 542.975 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (/ (pow (* (* PI 2) n) 1/4) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 542.975 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 542.975 * * [simplify]: iters left: 5 (9 enodes) 542.981 * * [simplify]: iters left: 4 (37 enodes) 542.992 * * [simplify]: iters left: 3 (57 enodes) 543.012 * * [simplify]: iters left: 2 (93 enodes) 543.044 * * [simplify]: iters left: 1 (170 enodes) 543.107 * * [simplify]: Extracting #0: cost 1 inf + 0 543.107 * * [simplify]: Extracting #1: cost 13 inf + 0 543.107 * * [simplify]: Extracting #2: cost 59 inf + 1 543.108 * * [simplify]: Extracting #3: cost 78 inf + 176 543.110 * * [simplify]: Extracting #4: cost 40 inf + 3875 543.114 * * [simplify]: Extracting #5: cost 7 inf + 16988 543.124 * * [simplify]: Extracting #6: cost 0 inf + 20577 543.129 * * [simplify]: Extracting #7: cost 0 inf + 20336 543.135 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 543.135 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 543.136 * * * * [progress]: [ 101 / 234 ] simplifiying candidate # 543.136 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) 543.136 * * [simplify]: iters left: 6 (13 enodes) 543.143 * * [simplify]: iters left: 5 (57 enodes) 543.163 * * [simplify]: iters left: 4 (91 enodes) 543.176 * * [simplify]: iters left: 3 (136 enodes) 543.201 * * [simplify]: iters left: 2 (218 enodes) 543.270 * * [simplify]: iters left: 1 (388 enodes) 543.455 * * [simplify]: Extracting #0: cost 1 inf + 0 543.455 * * [simplify]: Extracting #1: cost 29 inf + 0 543.456 * * [simplify]: Extracting #2: cost 119 inf + 1 543.457 * * [simplify]: Extracting #3: cost 204 inf + 217 543.458 * * [simplify]: Extracting #4: cost 216 inf + 429 543.459 * * [simplify]: Extracting #5: cost 223 inf + 430 543.460 * * [simplify]: Extracting #6: cost 182 inf + 8494 543.473 * * [simplify]: Extracting #7: cost 78 inf + 35629 543.495 * * [simplify]: Extracting #8: cost 38 inf + 65026 543.535 * * [simplify]: Extracting #9: cost 0 inf + 105210 543.574 * * [simplify]: Extracting #10: cost 0 inf + 102091 543.611 * * [simplify]: Extracting #11: cost 0 inf + 100186 543.650 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) 543.650 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4)))) (cbrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 543.650 * * * * [progress]: [ 102 / 234 ] simplifiying candidate # 543.651 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) 543.651 * * [simplify]: iters left: 6 (12 enodes) 543.658 * * [simplify]: iters left: 5 (54 enodes) 543.675 * * [simplify]: iters left: 4 (86 enodes) 543.689 * * [simplify]: iters left: 3 (123 enodes) 543.717 * * [simplify]: iters left: 2 (182 enodes) 543.749 * * [simplify]: iters left: 1 (307 enodes) 543.867 * * [simplify]: Extracting #0: cost 1 inf + 0 543.867 * * [simplify]: Extracting #1: cost 27 inf + 0 543.867 * * [simplify]: Extracting #2: cost 98 inf + 1 543.867 * * [simplify]: Extracting #3: cost 131 inf + 175 543.868 * * [simplify]: Extracting #4: cost 131 inf + 431 543.869 * * [simplify]: Extracting #5: cost 130 inf + 598 543.870 * * [simplify]: Extracting #6: cost 99 inf + 4572 543.873 * * [simplify]: Extracting #7: cost 53 inf + 20362 543.881 * * [simplify]: Extracting #8: cost 8 inf + 60052 543.893 * * [simplify]: Extracting #9: cost 0 inf + 67958 543.914 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) 543.914 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4))) (sqrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 543.914 * * * * [progress]: [ 103 / 234 ] simplifiying candidate # 543.914 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) 543.915 * * [simplify]: iters left: 6 (15 enodes) 543.923 * * [simplify]: iters left: 5 (66 enodes) 543.947 * * [simplify]: iters left: 4 (115 enodes) 543.978 * * [simplify]: iters left: 3 (199 enodes) 544.024 * * [simplify]: iters left: 2 (451 enodes) 544.293 * * [simplify]: Extracting #0: cost 1 inf + 0 544.294 * * [simplify]: Extracting #1: cost 13 inf + 0 544.294 * * [simplify]: Extracting #2: cost 110 inf + 1 544.295 * * [simplify]: Extracting #3: cost 232 inf + 173 544.296 * * [simplify]: Extracting #4: cost 236 inf + 1151 544.297 * * [simplify]: Extracting #5: cost 220 inf + 4022 544.300 * * [simplify]: Extracting #6: cost 163 inf + 20966 544.313 * * [simplify]: Extracting #7: cost 25 inf + 75480 544.341 * * [simplify]: Extracting #8: cost 0 inf + 95233 544.378 * * [simplify]: Extracting #9: cost 0 inf + 93560 544.418 * * [simplify]: Extracting #10: cost 0 inf + 92880 544.450 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) 544.450 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 544.450 * * * * [progress]: [ 104 / 234 ] simplifiying candidate # 544.450 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 544.450 * * [simplify]: iters left: 6 (14 enodes) 544.455 * * [simplify]: iters left: 5 (59 enodes) 544.465 * * [simplify]: iters left: 4 (93 enodes) 544.482 * * [simplify]: iters left: 3 (149 enodes) 544.521 * * [simplify]: iters left: 2 (289 enodes) 544.611 * * [simplify]: Extracting #0: cost 1 inf + 0 544.611 * * [simplify]: Extracting #1: cost 12 inf + 0 544.611 * * [simplify]: Extracting #2: cost 84 inf + 1 544.612 * * [simplify]: Extracting #3: cost 147 inf + 48 544.612 * * [simplify]: Extracting #4: cost 141 inf + 1153 544.613 * * [simplify]: Extracting #5: cost 139 inf + 1807 544.614 * * [simplify]: Extracting #6: cost 139 inf + 1728 544.615 * * [simplify]: Extracting #7: cost 131 inf + 2264 544.618 * * [simplify]: Extracting #8: cost 62 inf + 22751 544.636 * * [simplify]: Extracting #9: cost 6 inf + 52862 544.658 * * [simplify]: Extracting #10: cost 0 inf + 58480 544.680 * * [simplify]: Extracting #11: cost 0 inf + 58350 544.704 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) 544.704 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 544.705 * * * * [progress]: [ 105 / 234 ] simplifiying candidate # 544.705 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) 544.705 * * [simplify]: iters left: 6 (13 enodes) 544.714 * * [simplify]: iters left: 5 (54 enodes) 544.732 * * [simplify]: iters left: 4 (94 enodes) 544.764 * * [simplify]: iters left: 3 (138 enodes) 544.789 * * [simplify]: iters left: 2 (240 enodes) 544.889 * * [simplify]: iters left: 1 (482 enodes) 545.277 * * [simplify]: Extracting #0: cost 1 inf + 0 545.277 * * [simplify]: Extracting #1: cost 37 inf + 0 545.277 * * [simplify]: Extracting #2: cost 143 inf + 1 545.279 * * [simplify]: Extracting #3: cost 220 inf + 178 545.281 * * [simplify]: Extracting #4: cost 221 inf + 432 545.283 * * [simplify]: Extracting #5: cost 226 inf + 432 545.286 * * [simplify]: Extracting #6: cost 206 inf + 3898 545.297 * * [simplify]: Extracting #7: cost 104 inf + 30071 545.312 * * [simplify]: Extracting #8: cost 38 inf + 76484 545.350 * * [simplify]: Extracting #9: cost 1 inf + 117819 545.395 * * [simplify]: Extracting #10: cost 0 inf + 118972 545.435 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 545.435 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (/ (cbrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 545.435 * * * * [progress]: [ 106 / 234 ] simplifiying candidate # 545.435 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 545.435 * * [simplify]: iters left: 6 (14 enodes) 545.440 * * [simplify]: iters left: 5 (59 enodes) 545.450 * * [simplify]: iters left: 4 (91 enodes) 545.474 * * [simplify]: iters left: 3 (141 enodes) 545.503 * * [simplify]: iters left: 2 (263 enodes) 545.590 * * [simplify]: Extracting #0: cost 1 inf + 0 545.590 * * [simplify]: Extracting #1: cost 13 inf + 0 545.590 * * [simplify]: Extracting #2: cost 78 inf + 1 545.590 * * [simplify]: Extracting #3: cost 138 inf + 6 545.591 * * [simplify]: Extracting #4: cost 122 inf + 2882 545.592 * * [simplify]: Extracting #5: cost 110 inf + 5153 545.593 * * [simplify]: Extracting #6: cost 106 inf + 5685 545.598 * * [simplify]: Extracting #7: cost 59 inf + 17800 545.611 * * [simplify]: Extracting #8: cost 19 inf + 38068 545.627 * * [simplify]: Extracting #9: cost 1 inf + 53840 545.637 * * [simplify]: Extracting #10: cost 0 inf + 54879 545.646 * * [simplify]: Extracting #11: cost 0 inf + 54800 545.655 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) 545.655 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 545.655 * * * * [progress]: [ 107 / 234 ] simplifiying candidate # 545.655 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 545.655 * * [simplify]: iters left: 6 (13 enodes) 545.660 * * [simplify]: iters left: 5 (54 enodes) 545.676 * * [simplify]: iters left: 4 (82 enodes) 545.692 * * [simplify]: iters left: 3 (123 enodes) 545.723 * * [simplify]: iters left: 2 (207 enodes) 545.788 * * [simplify]: iters left: 1 (382 enodes) 546.014 * * [simplify]: Extracting #0: cost 1 inf + 0 546.014 * * [simplify]: Extracting #1: cost 28 inf + 0 546.015 * * [simplify]: Extracting #2: cost 142 inf + 1 546.016 * * [simplify]: Extracting #3: cost 256 inf + 176 546.017 * * [simplify]: Extracting #4: cost 257 inf + 553 546.019 * * [simplify]: Extracting #5: cost 222 inf + 4749 546.021 * * [simplify]: Extracting #6: cost 214 inf + 5446 546.027 * * [simplify]: Extracting #7: cost 144 inf + 23446 546.051 * * [simplify]: Extracting #8: cost 27 inf + 75825 546.070 * * [simplify]: Extracting #9: cost 0 inf + 100639 546.088 * * [simplify]: Extracting #10: cost 0 inf + 99987 546.107 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 546.107 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 546.107 * * * * [progress]: [ 108 / 234 ] simplifiying candidate # 546.108 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) 546.108 * * [simplify]: iters left: 6 (12 enodes) 546.111 * * [simplify]: iters left: 5 (49 enodes) 546.123 * * [simplify]: iters left: 4 (75 enodes) 546.147 * * [simplify]: iters left: 3 (111 enodes) 546.175 * * [simplify]: iters left: 2 (170 enodes) 546.205 * * [simplify]: iters left: 1 (293 enodes) 546.326 * * [simplify]: Extracting #0: cost 1 inf + 0 546.326 * * [simplify]: Extracting #1: cost 29 inf + 0 546.326 * * [simplify]: Extracting #2: cost 99 inf + 1 546.327 * * [simplify]: Extracting #3: cost 127 inf + 217 546.327 * * [simplify]: Extracting #4: cost 127 inf + 430 546.328 * * [simplify]: Extracting #5: cost 126 inf + 473 546.329 * * [simplify]: Extracting #6: cost 120 inf + 845 546.331 * * [simplify]: Extracting #7: cost 83 inf + 10392 546.338 * * [simplify]: Extracting #8: cost 25 inf + 41709 546.362 * * [simplify]: Extracting #9: cost 2 inf + 63422 546.375 * * [simplify]: Extracting #10: cost 0 inf + 65616 546.388 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 546.389 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 546.389 * * * * [progress]: [ 109 / 234 ] simplifiying candidate # 546.389 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 546.389 * * [simplify]: iters left: 6 (15 enodes) 546.397 * * [simplify]: iters left: 5 (66 enodes) 546.424 * * [simplify]: iters left: 4 (132 enodes) 546.471 * * [simplify]: iters left: 3 (261 enodes) 546.612 * * [simplify]: Extracting #0: cost 1 inf + 0 546.612 * * [simplify]: Extracting #1: cost 11 inf + 0 546.613 * * [simplify]: Extracting #2: cost 98 inf + 0 546.614 * * [simplify]: Extracting #3: cost 179 inf + 256 546.615 * * [simplify]: Extracting #4: cost 179 inf + 749 546.619 * * [simplify]: Extracting #5: cost 120 inf + 14936 546.634 * * [simplify]: Extracting #6: cost 25 inf + 44518 546.652 * * [simplify]: Extracting #7: cost 5 inf + 52635 546.671 * * [simplify]: Extracting #8: cost 0 inf + 57235 546.691 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) 546.691 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 546.691 * * * * [progress]: [ 110 / 234 ] simplifiying candidate # 546.692 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 546.692 * * [simplify]: iters left: 6 (16 enodes) 546.701 * * [simplify]: iters left: 5 (67 enodes) 546.730 * * [simplify]: iters left: 4 (124 enodes) 546.771 * * [simplify]: iters left: 3 (245 enodes) 546.868 * * [simplify]: Extracting #0: cost 1 inf + 0 546.868 * * [simplify]: Extracting #1: cost 11 inf + 0 546.869 * * [simplify]: Extracting #2: cost 113 inf + 0 546.869 * * [simplify]: Extracting #3: cost 219 inf + 172 546.870 * * [simplify]: Extracting #4: cost 210 inf + 1275 546.872 * * [simplify]: Extracting #5: cost 163 inf + 12194 546.881 * * [simplify]: Extracting #6: cost 15 inf + 65842 546.894 * * [simplify]: Extracting #7: cost 0 inf + 72642 546.906 * * [simplify]: Extracting #8: cost 0 inf + 72483 546.918 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 546.918 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 546.918 * * * * [progress]: [ 111 / 234 ] simplifiying candidate # 546.919 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) 546.919 * * [simplify]: iters left: 6 (15 enodes) 546.923 * * [simplify]: iters left: 5 (64 enodes) 546.938 * * [simplify]: iters left: 4 (131 enodes) 546.964 * * [simplify]: iters left: 3 (239 enodes) 547.047 * * [simplify]: Extracting #0: cost 1 inf + 0 547.047 * * [simplify]: Extracting #1: cost 12 inf + 0 547.047 * * [simplify]: Extracting #2: cost 75 inf + 0 547.048 * * [simplify]: Extracting #3: cost 141 inf + 47 547.049 * * [simplify]: Extracting #4: cost 135 inf + 1554 547.051 * * [simplify]: Extracting #5: cost 128 inf + 2489 547.057 * * [simplify]: Extracting #6: cost 65 inf + 22138 547.072 * * [simplify]: Extracting #7: cost 2 inf + 49864 547.083 * * [simplify]: Extracting #8: cost 0 inf + 50287 547.090 * * [simplify]: Extracting #9: cost 0 inf + 50205 547.098 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 547.098 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 547.098 * * * * [progress]: [ 112 / 234 ] simplifiying candidate # 547.098 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 547.098 * * [simplify]: iters left: 6 (16 enodes) 547.103 * * [simplify]: iters left: 5 (65 enodes) 547.117 * * [simplify]: iters left: 4 (115 enodes) 547.154 * * [simplify]: iters left: 3 (240 enodes) 547.245 * * [simplify]: Extracting #0: cost 1 inf + 0 547.245 * * [simplify]: Extracting #1: cost 11 inf + 0 547.246 * * [simplify]: Extracting #2: cost 113 inf + 0 547.247 * * [simplify]: Extracting #3: cost 228 inf + 172 547.249 * * [simplify]: Extracting #4: cost 220 inf + 1834 547.253 * * [simplify]: Extracting #5: cost 166 inf + 12543 547.269 * * [simplify]: Extracting #6: cost 49 inf + 55076 547.293 * * [simplify]: Extracting #7: cost 1 inf + 75637 547.313 * * [simplify]: Extracting #8: cost 0 inf + 75195 547.326 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) 547.326 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 547.326 * * * * [progress]: [ 113 / 234 ] simplifiying candidate # 547.326 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) 547.326 * * [simplify]: iters left: 6 (14 enodes) 547.331 * * [simplify]: iters left: 5 (57 enodes) 547.343 * * [simplify]: iters left: 4 (89 enodes) 547.375 * * [simplify]: iters left: 3 (148 enodes) 547.429 * * [simplify]: iters left: 2 (319 enodes) 547.644 * * [simplify]: Extracting #0: cost 1 inf + 0 547.645 * * [simplify]: Extracting #1: cost 13 inf + 0 547.645 * * [simplify]: Extracting #2: cost 89 inf + 1 547.646 * * [simplify]: Extracting #3: cost 168 inf + 6 547.648 * * [simplify]: Extracting #4: cost 160 inf + 1073 547.652 * * [simplify]: Extracting #5: cost 112 inf + 11315 547.664 * * [simplify]: Extracting #6: cost 37 inf + 30043 547.682 * * [simplify]: Extracting #7: cost 7 inf + 47889 547.702 * * [simplify]: Extracting #8: cost 0 inf + 53475 547.714 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) 547.714 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 547.715 * * * * [progress]: [ 114 / 234 ] simplifiying candidate # 547.715 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) 547.715 * * [simplify]: iters left: 6 (14 enodes) 547.719 * * [simplify]: iters left: 5 (55 enodes) 547.731 * * [simplify]: iters left: 4 (92 enodes) 547.759 * * [simplify]: iters left: 3 (161 enodes) 547.820 * * [simplify]: iters left: 2 (340 enodes) 548.018 * * [simplify]: Extracting #0: cost 1 inf + 0 548.018 * * [simplify]: Extracting #1: cost 12 inf + 0 548.019 * * [simplify]: Extracting #2: cost 81 inf + 1 548.020 * * [simplify]: Extracting #3: cost 159 inf + 7 548.021 * * [simplify]: Extracting #4: cost 151 inf + 1116 548.024 * * [simplify]: Extracting #5: cost 141 inf + 1937 548.027 * * [simplify]: Extracting #6: cost 121 inf + 5594 548.037 * * [simplify]: Extracting #7: cost 45 inf + 23808 548.057 * * [simplify]: Extracting #8: cost 6 inf + 47818 548.077 * * [simplify]: Extracting #9: cost 0 inf + 52841 548.097 * * [simplify]: Extracting #10: cost 0 inf + 52338 548.118 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 548.118 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 548.118 * * * * [progress]: [ 115 / 234 ] simplifiying candidate # 548.119 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) 548.119 * * [simplify]: iters left: 6 (15 enodes) 548.128 * * [simplify]: iters left: 5 (60 enodes) 548.149 * * [simplify]: iters left: 4 (113 enodes) 548.190 * * [simplify]: iters left: 3 (218 enodes) 548.289 * * [simplify]: Extracting #0: cost 1 inf + 0 548.290 * * [simplify]: Extracting #1: cost 10 inf + 0 548.290 * * [simplify]: Extracting #2: cost 80 inf + 0 548.291 * * [simplify]: Extracting #3: cost 149 inf + 5 548.292 * * [simplify]: Extracting #4: cost 139 inf + 1268 548.294 * * [simplify]: Extracting #5: cost 118 inf + 4108 548.301 * * [simplify]: Extracting #6: cost 31 inf + 31012 548.315 * * [simplify]: Extracting #7: cost 0 inf + 44232 548.329 * * [simplify]: Extracting #8: cost 0 inf + 43914 548.346 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 548.346 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 548.346 * * * * [progress]: [ 116 / 234 ] simplifiying candidate # 548.347 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) 548.347 * * [simplify]: iters left: 6 (14 enodes) 548.355 * * [simplify]: iters left: 5 (55 enodes) 548.374 * * [simplify]: iters left: 4 (95 enodes) 548.407 * * [simplify]: iters left: 3 (163 enodes) 548.467 * * [simplify]: iters left: 2 (335 enodes) 548.656 * * [simplify]: Extracting #0: cost 1 inf + 0 548.656 * * [simplify]: Extracting #1: cost 13 inf + 0 548.657 * * [simplify]: Extracting #2: cost 89 inf + 1 548.658 * * [simplify]: Extracting #3: cost 164 inf + 7 548.660 * * [simplify]: Extracting #4: cost 150 inf + 1361 548.662 * * [simplify]: Extracting #5: cost 138 inf + 2953 548.670 * * [simplify]: Extracting #6: cost 54 inf + 25589 548.688 * * [simplify]: Extracting #7: cost 5 inf + 48782 548.709 * * [simplify]: Extracting #8: cost 0 inf + 52731 548.731 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) 548.731 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 548.731 * * * * [progress]: [ 117 / 234 ] simplifiying candidate # 548.731 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) 548.732 * * [simplify]: iters left: 6 (13 enodes) 548.739 * * [simplify]: iters left: 5 (50 enodes) 548.756 * * [simplify]: iters left: 4 (92 enodes) 548.784 * * [simplify]: iters left: 3 (138 enodes) 548.835 * * [simplify]: iters left: 2 (270 enodes) 548.935 * * [simplify]: Extracting #0: cost 1 inf + 0 548.935 * * [simplify]: Extracting #1: cost 19 inf + 0 548.936 * * [simplify]: Extracting #2: cost 106 inf + 1 548.937 * * [simplify]: Extracting #3: cost 134 inf + 215 548.938 * * [simplify]: Extracting #4: cost 137 inf + 427 548.939 * * [simplify]: Extracting #5: cost 136 inf + 470 548.941 * * [simplify]: Extracting #6: cost 130 inf + 1041 548.944 * * [simplify]: Extracting #7: cost 94 inf + 9157 548.953 * * [simplify]: Extracting #8: cost 56 inf + 24782 548.969 * * [simplify]: Extracting #9: cost 4 inf + 58277 548.985 * * [simplify]: Extracting #10: cost 0 inf + 60382 548.996 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 548.996 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (/ (cbrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 548.996 * * * * [progress]: [ 118 / 234 ] simplifiying candidate # 548.997 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 548.997 * * [simplify]: iters left: 6 (14 enodes) 549.001 * * [simplify]: iters left: 5 (59 enodes) 549.020 * * [simplify]: iters left: 4 (100 enodes) 549.053 * * [simplify]: iters left: 3 (169 enodes) 549.098 * * [simplify]: iters left: 2 (357 enodes) 549.277 * * [simplify]: Extracting #0: cost 1 inf + 0 549.277 * * [simplify]: Extracting #1: cost 13 inf + 0 549.277 * * [simplify]: Extracting #2: cost 96 inf + 1 549.278 * * [simplify]: Extracting #3: cost 185 inf + 297 549.279 * * [simplify]: Extracting #4: cost 167 inf + 3341 549.282 * * [simplify]: Extracting #5: cost 97 inf + 17989 549.294 * * [simplify]: Extracting #6: cost 29 inf + 39102 549.312 * * [simplify]: Extracting #7: cost 4 inf + 58882 549.333 * * [simplify]: Extracting #8: cost 0 inf + 62078 549.353 * * [simplify]: Extracting #9: cost 0 inf + 61496 549.366 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) 549.366 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 549.366 * * * * [progress]: [ 119 / 234 ] simplifiying candidate # 549.366 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 549.366 * * [simplify]: iters left: 6 (15 enodes) 549.371 * * [simplify]: iters left: 5 (60 enodes) 549.381 * * [simplify]: iters left: 4 (96 enodes) 549.406 * * [simplify]: iters left: 3 (164 enodes) 549.442 * * [simplify]: iters left: 2 (355 enodes) 549.680 * * [simplify]: Extracting #0: cost 1 inf + 0 549.680 * * [simplify]: Extracting #1: cost 13 inf + 0 549.680 * * [simplify]: Extracting #2: cost 109 inf + 1 549.682 * * [simplify]: Extracting #3: cost 223 inf + 296 549.685 * * [simplify]: Extracting #4: cost 205 inf + 4016 549.692 * * [simplify]: Extracting #5: cost 134 inf + 18734 549.711 * * [simplify]: Extracting #6: cost 23 inf + 55288 549.725 * * [simplify]: Extracting #7: cost 1 inf + 75831 549.743 * * [simplify]: Extracting #8: cost 0 inf + 76118 549.773 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) 549.773 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 549.773 * * * * [progress]: [ 120 / 234 ] simplifiying candidate # 549.774 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) 549.774 * * [simplify]: iters left: 6 (14 enodes) 549.782 * * [simplify]: iters left: 5 (55 enodes) 549.799 * * [simplify]: iters left: 4 (89 enodes) 549.822 * * [simplify]: iters left: 3 (150 enodes) 549.850 * * [simplify]: iters left: 2 (291 enodes) 549.986 * * [simplify]: Extracting #0: cost 1 inf + 0 549.986 * * [simplify]: Extracting #1: cost 12 inf + 0 549.986 * * [simplify]: Extracting #2: cost 83 inf + 1 549.987 * * [simplify]: Extracting #3: cost 149 inf + 88 549.988 * * [simplify]: Extracting #4: cost 122 inf + 4381 549.989 * * [simplify]: Extracting #5: cost 110 inf + 5521 549.991 * * [simplify]: Extracting #6: cost 76 inf + 12618 549.997 * * [simplify]: Extracting #7: cost 17 inf + 36794 550.006 * * [simplify]: Extracting #8: cost 0 inf + 52398 550.015 * * [simplify]: Extracting #9: cost 0 inf + 52279 550.030 * * [simplify]: Extracting #10: cost 0 inf + 52239 550.047 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 550.047 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 550.047 * * * * [progress]: [ 121 / 234 ] simplifiying candidate # 550.047 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 550.047 * * [simplify]: iters left: 6 (15 enodes) 550.052 * * [simplify]: iters left: 5 (60 enodes) 550.064 * * [simplify]: iters left: 4 (98 enodes) 550.080 * * [simplify]: iters left: 3 (170 enodes) 550.111 * * [simplify]: iters left: 2 (380 enodes) 550.312 * * [simplify]: Extracting #0: cost 1 inf + 0 550.312 * * [simplify]: Extracting #1: cost 13 inf + 0 550.312 * * [simplify]: Extracting #2: cost 115 inf + 1 550.316 * * [simplify]: Extracting #3: cost 237 inf + 256 550.317 * * [simplify]: Extracting #4: cost 224 inf + 3055 550.322 * * [simplify]: Extracting #5: cost 124 inf + 29028 550.333 * * [simplify]: Extracting #6: cost 29 inf + 59577 550.348 * * [simplify]: Extracting #7: cost 1 inf + 82271 550.371 * * [simplify]: Extracting #8: cost 0 inf + 82483 550.392 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 550.392 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 550.392 * * * * [progress]: [ 122 / 234 ] simplifiying candidate # 550.392 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) 550.392 * * [simplify]: iters left: 6 (13 enodes) 550.396 * * [simplify]: iters left: 5 (52 enodes) 550.405 * * [simplify]: iters left: 4 (76 enodes) 550.418 * * [simplify]: iters left: 3 (117 enodes) 550.445 * * [simplify]: iters left: 2 (212 enodes) 550.529 * * [simplify]: iters left: 1 (407 enodes) 550.730 * * [simplify]: Extracting #0: cost 1 inf + 0 550.730 * * [simplify]: Extracting #1: cost 28 inf + 0 550.731 * * [simplify]: Extracting #2: cost 152 inf + 1 550.733 * * [simplify]: Extracting #3: cost 271 inf + 217 550.736 * * [simplify]: Extracting #4: cost 241 inf + 3724 550.741 * * [simplify]: Extracting #5: cost 196 inf + 10784 550.758 * * [simplify]: Extracting #6: cost 70 inf + 41091 550.785 * * [simplify]: Extracting #7: cost 14 inf + 81043 550.818 * * [simplify]: Extracting #8: cost 0 inf + 93786 550.855 * * [simplify]: Extracting #9: cost 0 inf + 93705 550.887 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) 550.887 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 550.888 * * * * [progress]: [ 123 / 234 ] simplifiying candidate # 550.888 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) 550.888 * * [simplify]: iters left: 6 (13 enodes) 550.895 * * [simplify]: iters left: 5 (50 enodes) 550.912 * * [simplify]: iters left: 4 (77 enodes) 550.933 * * [simplify]: iters left: 3 (124 enodes) 550.973 * * [simplify]: iters left: 2 (218 enodes) 551.038 * * [simplify]: iters left: 1 (451 enodes) 551.420 * * [simplify]: Extracting #0: cost 1 inf + 0 551.421 * * [simplify]: Extracting #1: cost 35 inf + 0 551.422 * * [simplify]: Extracting #2: cost 164 inf + 1 551.424 * * [simplify]: Extracting #3: cost 271 inf + 220 551.427 * * [simplify]: Extracting #4: cost 260 inf + 1897 551.431 * * [simplify]: Extracting #5: cost 212 inf + 7038 551.445 * * [simplify]: Extracting #6: cost 119 inf + 24014 551.468 * * [simplify]: Extracting #7: cost 52 inf + 51357 551.505 * * [simplify]: Extracting #8: cost 3 inf + 100895 551.547 * * [simplify]: Extracting #9: cost 0 inf + 104547 551.567 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 551.567 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 551.567 * * * * [progress]: [ 124 / 234 ] simplifiying candidate # 551.567 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) 551.567 * * [simplify]: iters left: 6 (14 enodes) 551.572 * * [simplify]: iters left: 5 (55 enodes) 551.590 * * [simplify]: iters left: 4 (87 enodes) 551.621 * * [simplify]: iters left: 3 (147 enodes) 551.678 * * [simplify]: iters left: 2 (289 enodes) 551.800 * * [simplify]: Extracting #0: cost 1 inf + 0 551.800 * * [simplify]: Extracting #1: cost 12 inf + 0 551.800 * * [simplify]: Extracting #2: cost 80 inf + 1 551.801 * * [simplify]: Extracting #3: cost 147 inf + 7 551.802 * * [simplify]: Extracting #4: cost 123 inf + 3777 551.803 * * [simplify]: Extracting #5: cost 107 inf + 5846 551.806 * * [simplify]: Extracting #6: cost 70 inf + 14368 551.812 * * [simplify]: Extracting #7: cost 10 inf + 41178 551.820 * * [simplify]: Extracting #8: cost 0 inf + 49216 551.828 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 551.829 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 551.829 * * * * [progress]: [ 125 / 234 ] simplifiying candidate # 551.830 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) 551.830 * * [simplify]: iters left: 6 (13 enodes) 551.834 * * [simplify]: iters left: 5 (50 enodes) 551.854 * * [simplify]: iters left: 4 (76 enodes) 551.880 * * [simplify]: iters left: 3 (124 enodes) 551.923 * * [simplify]: iters left: 2 (221 enodes) 552.026 * * [simplify]: iters left: 1 (459 enodes) 552.424 * * [simplify]: Extracting #0: cost 1 inf + 0 552.424 * * [simplify]: Extracting #1: cost 36 inf + 0 552.424 * * [simplify]: Extracting #2: cost 174 inf + 1 552.426 * * [simplify]: Extracting #3: cost 292 inf + 220 552.427 * * [simplify]: Extracting #4: cost 287 inf + 1086 552.432 * * [simplify]: Extracting #5: cost 202 inf + 13689 552.455 * * [simplify]: Extracting #6: cost 78 inf + 53621 552.500 * * [simplify]: Extracting #7: cost 6 inf + 103249 552.526 * * [simplify]: Extracting #8: cost 0 inf + 107262 552.546 * * [simplify]: Extracting #9: cost 0 inf + 107261 552.580 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 552.580 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 552.580 * * * * [progress]: [ 126 / 234 ] simplifiying candidate # 552.581 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) 552.581 * * [simplify]: iters left: 6 (12 enodes) 552.584 * * [simplify]: iters left: 5 (45 enodes) 552.593 * * [simplify]: iters left: 4 (77 enodes) 552.605 * * [simplify]: iters left: 3 (113 enodes) 552.624 * * [simplify]: iters left: 2 (224 enodes) 552.687 * * [simplify]: Extracting #0: cost 1 inf + 0 552.687 * * [simplify]: Extracting #1: cost 21 inf + 0 552.687 * * [simplify]: Extracting #2: cost 106 inf + 1 552.688 * * [simplify]: Extracting #3: cost 124 inf + 173 552.689 * * [simplify]: Extracting #4: cost 121 inf + 551 552.692 * * [simplify]: Extracting #5: cost 90 inf + 8323 552.699 * * [simplify]: Extracting #6: cost 37 inf + 28906 552.712 * * [simplify]: Extracting #7: cost 2 inf + 48879 552.728 * * [simplify]: Extracting #8: cost 0 inf + 50442 552.744 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 552.744 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (/ (sqrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 552.744 * * * * [progress]: [ 127 / 234 ] simplifiying candidate # 552.744 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 552.745 * * [simplify]: iters left: 6 (11 enodes) 552.751 * * [simplify]: iters left: 5 (48 enodes) 552.769 * * [simplify]: iters left: 4 (86 enodes) 552.803 * * [simplify]: iters left: 3 (155 enodes) 552.856 * * [simplify]: iters left: 2 (300 enodes) 553.010 * * [simplify]: Extracting #0: cost 1 inf + 0 553.010 * * [simplify]: Extracting #1: cost 13 inf + 0 553.011 * * [simplify]: Extracting #2: cost 91 inf + 0 553.011 * * [simplify]: Extracting #3: cost 184 inf + 8 553.013 * * [simplify]: Extracting #4: cost 142 inf + 6775 553.017 * * [simplify]: Extracting #5: cost 28 inf + 31749 553.024 * * [simplify]: Extracting #6: cost 7 inf + 42461 553.042 * * [simplify]: Extracting #7: cost 0 inf + 48584 553.055 * * [simplify]: Extracting #8: cost 0 inf + 48171 553.070 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 553.070 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 553.070 * * * * [progress]: [ 128 / 234 ] simplifiying candidate # 553.071 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 553.071 * * [simplify]: iters left: 6 (12 enodes) 553.078 * * [simplify]: iters left: 5 (49 enodes) 553.088 * * [simplify]: iters left: 4 (82 enodes) 553.103 * * [simplify]: iters left: 3 (152 enodes) 553.141 * * [simplify]: iters left: 2 (314 enodes) 553.253 * * [simplify]: Extracting #0: cost 1 inf + 0 553.253 * * [simplify]: Extracting #1: cost 12 inf + 0 553.254 * * [simplify]: Extracting #2: cost 95 inf + 1 553.255 * * [simplify]: Extracting #3: cost 173 inf + 739 553.261 * * [simplify]: Extracting #4: cost 82 inf + 21246 553.275 * * [simplify]: Extracting #5: cost 17 inf + 41542 553.288 * * [simplify]: Extracting #6: cost 0 inf + 57328 553.297 * * [simplify]: Extracting #7: cost 0 inf + 55491 553.309 * * [simplify]: Extracting #8: cost 0 inf + 54978 553.322 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 553.322 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 553.322 * * * * [progress]: [ 129 / 234 ] simplifiying candidate # 553.322 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 553.322 * * [simplify]: iters left: 6 (11 enodes) 553.326 * * [simplify]: iters left: 5 (44 enodes) 553.334 * * [simplify]: iters left: 4 (75 enodes) 553.350 * * [simplify]: iters left: 3 (135 enodes) 553.381 * * [simplify]: iters left: 2 (257 enodes) 553.525 * * [simplify]: Extracting #0: cost 1 inf + 0 553.525 * * [simplify]: Extracting #1: cost 12 inf + 0 553.525 * * [simplify]: Extracting #2: cost 67 inf + 1 553.526 * * [simplify]: Extracting #3: cost 114 inf + 7 553.527 * * [simplify]: Extracting #4: cost 104 inf + 911 553.532 * * [simplify]: Extracting #5: cost 42 inf + 14168 553.541 * * [simplify]: Extracting #6: cost 5 inf + 30729 553.552 * * [simplify]: Extracting #7: cost 0 inf + 35035 553.563 * * [simplify]: Extracting #8: cost 0 inf + 34742 553.575 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 553.575 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 553.576 * * * * [progress]: [ 130 / 234 ] simplifiying candidate # 553.576 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 553.576 * * [simplify]: iters left: 6 (12 enodes) 553.581 * * [simplify]: iters left: 5 (49 enodes) 553.589 * * [simplify]: iters left: 4 (84 enodes) 553.604 * * [simplify]: iters left: 3 (157 enodes) 553.661 * * [simplify]: iters left: 2 (349 enodes) 553.917 * * [simplify]: Extracting #0: cost 1 inf + 0 553.917 * * [simplify]: Extracting #1: cost 13 inf + 0 553.917 * * [simplify]: Extracting #2: cost 104 inf + 1 553.918 * * [simplify]: Extracting #3: cost 208 inf + 742 553.923 * * [simplify]: Extracting #4: cost 99 inf + 23626 553.932 * * [simplify]: Extracting #5: cost 10 inf + 51587 553.942 * * [simplify]: Extracting #6: cost 0 inf + 59406 553.964 * * [simplify]: Extracting #7: cost 0 inf + 59204 553.980 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 553.980 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 553.980 * * * * [progress]: [ 131 / 234 ] simplifiying candidate # 553.980 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 553.980 * * [simplify]: iters left: 6 (10 enodes) 553.984 * * [simplify]: iters left: 5 (41 enodes) 553.991 * * [simplify]: iters left: 4 (63 enodes) 554.006 * * [simplify]: iters left: 3 (106 enodes) 554.045 * * [simplify]: iters left: 2 (170 enodes) 554.102 * * [simplify]: iters left: 1 (274 enodes) 554.206 * * [simplify]: Extracting #0: cost 1 inf + 0 554.206 * * [simplify]: Extracting #1: cost 34 inf + 0 554.207 * * [simplify]: Extracting #2: cost 96 inf + 2 554.207 * * [simplify]: Extracting #3: cost 83 inf + 2529 554.210 * * [simplify]: Extracting #4: cost 46 inf + 22891 554.214 * * [simplify]: Extracting #5: cost 2 inf + 52042 554.220 * * [simplify]: Extracting #6: cost 0 inf + 52881 554.225 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 554.225 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 554.225 * * * * [progress]: [ 132 / 234 ] simplifiying candidate # 554.225 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 554.226 * * [simplify]: iters left: 6 (10 enodes) 554.229 * * [simplify]: iters left: 5 (39 enodes) 554.242 * * [simplify]: iters left: 4 (63 enodes) 554.264 * * [simplify]: iters left: 3 (109 enodes) 554.296 * * [simplify]: iters left: 2 (194 enodes) 554.345 * * [simplify]: iters left: 1 (379 enodes) 554.501 * * [simplify]: Extracting #0: cost 1 inf + 0 554.501 * * [simplify]: Extracting #1: cost 36 inf + 0 554.501 * * [simplify]: Extracting #2: cost 115 inf + 1 554.502 * * [simplify]: Extracting #3: cost 130 inf + 921 554.507 * * [simplify]: Extracting #4: cost 84 inf + 12198 554.516 * * [simplify]: Extracting #5: cost 46 inf + 29266 554.540 * * [simplify]: Extracting #6: cost 6 inf + 65568 554.553 * * [simplify]: Extracting #7: cost 0 inf + 70626 554.565 * * [simplify]: Extracting #8: cost 0 inf + 69382 554.575 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 554.575 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 554.575 * * * * [progress]: [ 133 / 234 ] simplifiying candidate # 554.575 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 554.575 * * [simplify]: iters left: 6 (11 enodes) 554.579 * * [simplify]: iters left: 5 (42 enodes) 554.591 * * [simplify]: iters left: 4 (67 enodes) 554.609 * * [simplify]: iters left: 3 (113 enodes) 554.647 * * [simplify]: iters left: 2 (227 enodes) 554.742 * * [simplify]: iters left: 1 (460 enodes) 555.070 * * [simplify]: Extracting #0: cost 1 inf + 0 555.070 * * [simplify]: Extracting #1: cost 27 inf + 0 555.071 * * [simplify]: Extracting #2: cost 128 inf + 1 555.072 * * [simplify]: Extracting #3: cost 230 inf + 336 555.074 * * [simplify]: Extracting #4: cost 174 inf + 9113 555.080 * * [simplify]: Extracting #5: cost 47 inf + 41174 555.093 * * [simplify]: Extracting #6: cost 8 inf + 76412 555.106 * * [simplify]: Extracting #7: cost 0 inf + 84921 555.123 * * [simplify]: Extracting #8: cost 0 inf + 84670 555.137 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 555.138 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.138 * * * * [progress]: [ 134 / 234 ] simplifiying candidate # 555.138 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 555.138 * * [simplify]: iters left: 5 (10 enodes) 555.142 * * [simplify]: iters left: 4 (37 enodes) 555.148 * * [simplify]: iters left: 3 (58 enodes) 555.162 * * [simplify]: iters left: 2 (98 enodes) 555.196 * * [simplify]: iters left: 1 (170 enodes) 555.270 * * [simplify]: Extracting #0: cost 1 inf + 0 555.271 * * [simplify]: Extracting #1: cost 12 inf + 0 555.271 * * [simplify]: Extracting #2: cost 51 inf + 1 555.271 * * [simplify]: Extracting #3: cost 75 inf + 6 555.272 * * [simplify]: Extracting #4: cost 65 inf + 882 555.274 * * [simplify]: Extracting #5: cost 36 inf + 4827 555.278 * * [simplify]: Extracting #6: cost 11 inf + 14483 555.285 * * [simplify]: Extracting #7: cost 0 inf + 23347 555.292 * * [simplify]: Extracting #8: cost 0 inf + 23054 555.299 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 555.299 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.299 * * * * [progress]: [ 135 / 234 ] simplifiying candidate # 555.300 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 555.300 * * [simplify]: iters left: 5 (9 enodes) 555.306 * * [simplify]: iters left: 4 (35 enodes) 555.320 * * [simplify]: iters left: 3 (65 enodes) 555.343 * * [simplify]: iters left: 2 (106 enodes) 555.379 * * [simplify]: iters left: 1 (178 enodes) 555.415 * * [simplify]: Extracting #0: cost 1 inf + 0 555.415 * * [simplify]: Extracting #1: cost 18 inf + 0 555.415 * * [simplify]: Extracting #2: cost 35 inf + 46 555.415 * * [simplify]: Extracting #3: cost 27 inf + 930 555.416 * * [simplify]: Extracting #4: cost 12 inf + 6845 555.417 * * [simplify]: Extracting #5: cost 1 inf + 11470 555.419 * * [simplify]: Extracting #6: cost 0 inf + 11764 555.420 * [simplify]: Simplified to (* (* PI 2) n) 555.420 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.421 * * * * [progress]: [ 136 / 234 ] simplifiying candidate # 555.421 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 555.421 * * [simplify]: iters left: 6 (15 enodes) 555.426 * * [simplify]: iters left: 5 (61 enodes) 555.435 * * [simplify]: iters left: 4 (99 enodes) 555.455 * * [simplify]: iters left: 3 (167 enodes) 555.498 * * [simplify]: iters left: 2 (356 enodes) 555.670 * * [simplify]: Extracting #0: cost 1 inf + 0 555.670 * * [simplify]: Extracting #1: cost 13 inf + 0 555.671 * * [simplify]: Extracting #2: cost 91 inf + 1 555.671 * * [simplify]: Extracting #3: cost 174 inf + 49 555.672 * * [simplify]: Extracting #4: cost 148 inf + 4264 555.675 * * [simplify]: Extracting #5: cost 101 inf + 13463 555.681 * * [simplify]: Extracting #6: cost 31 inf + 32846 555.689 * * [simplify]: Extracting #7: cost 8 inf + 47457 555.704 * * [simplify]: Extracting #8: cost 0 inf + 54770 555.723 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) 555.723 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 555.724 * * * * [progress]: [ 137 / 234 ] simplifiying candidate # 555.724 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 555.724 * * [simplify]: iters left: 6 (16 enodes) 555.738 * * [simplify]: iters left: 5 (62 enodes) 555.752 * * [simplify]: iters left: 4 (95 enodes) 555.768 * * [simplify]: iters left: 3 (164 enodes) 555.817 * * [simplify]: iters left: 2 (364 enodes) 555.962 * * [simplify]: Extracting #0: cost 1 inf + 0 555.962 * * [simplify]: Extracting #1: cost 13 inf + 0 555.962 * * [simplify]: Extracting #2: cost 115 inf + 1 555.964 * * [simplify]: Extracting #3: cost 236 inf + 173 555.967 * * [simplify]: Extracting #4: cost 227 inf + 2246 555.972 * * [simplify]: Extracting #5: cost 149 inf + 17247 555.994 * * [simplify]: Extracting #6: cost 43 inf + 48767 556.021 * * [simplify]: Extracting #7: cost 8 inf + 77001 556.051 * * [simplify]: Extracting #8: cost 0 inf + 84223 556.082 * * [simplify]: Extracting #9: cost 0 inf + 83592 556.113 * * [simplify]: Extracting #10: cost 0 inf + 83461 556.145 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 556.145 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 556.145 * * * * [progress]: [ 138 / 234 ] simplifiying candidate # 556.146 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 556.146 * * [simplify]: iters left: 6 (15 enodes) 556.158 * * [simplify]: iters left: 5 (57 enodes) 556.176 * * [simplify]: iters left: 4 (88 enodes) 556.198 * * [simplify]: iters left: 3 (149 enodes) 556.234 * * [simplify]: iters left: 2 (292 enodes) 556.371 * * [simplify]: Extracting #0: cost 1 inf + 0 556.372 * * [simplify]: Extracting #1: cost 12 inf + 0 556.372 * * [simplify]: Extracting #2: cost 86 inf + 1 556.373 * * [simplify]: Extracting #3: cost 156 inf + 7 556.375 * * [simplify]: Extracting #4: cost 127 inf + 4379 556.378 * * [simplify]: Extracting #5: cost 113 inf + 5924 556.384 * * [simplify]: Extracting #6: cost 53 inf + 21595 556.399 * * [simplify]: Extracting #7: cost 3 inf + 49466 556.417 * * [simplify]: Extracting #8: cost 0 inf + 52705 556.435 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 556.435 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 556.435 * * * * [progress]: [ 139 / 234 ] simplifiying candidate # 556.436 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 556.436 * * [simplify]: iters left: 6 (16 enodes) 556.447 * * [simplify]: iters left: 5 (62 enodes) 556.459 * * [simplify]: iters left: 4 (97 enodes) 556.478 * * [simplify]: iters left: 3 (168 enodes) 556.516 * * [simplify]: iters left: 2 (386 enodes) 556.708 * * [simplify]: Extracting #0: cost 1 inf + 0 556.708 * * [simplify]: Extracting #1: cost 13 inf + 0 556.709 * * [simplify]: Extracting #2: cost 113 inf + 1 556.710 * * [simplify]: Extracting #3: cost 237 inf + 215 556.713 * * [simplify]: Extracting #4: cost 230 inf + 2281 556.719 * * [simplify]: Extracting #5: cost 140 inf + 20271 556.727 * * [simplify]: Extracting #6: cost 37 inf + 49734 556.743 * * [simplify]: Extracting #7: cost 9 inf + 70108 556.769 * * [simplify]: Extracting #8: cost 0 inf + 79633 556.800 * * [simplify]: Extracting #9: cost 0 inf + 79502 556.820 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 556.820 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 556.821 * * * * [progress]: [ 140 / 234 ] simplifiying candidate # 556.821 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) 556.821 * * [simplify]: iters left: 6 (14 enodes) 556.825 * * [simplify]: iters left: 5 (54 enodes) 556.834 * * [simplify]: iters left: 4 (75 enodes) 556.854 * * [simplify]: iters left: 3 (117 enodes) 556.885 * * [simplify]: iters left: 2 (212 enodes) 556.936 * * [simplify]: iters left: 1 (419 enodes) 557.198 * * [simplify]: Extracting #0: cost 1 inf + 0 557.198 * * [simplify]: Extracting #1: cost 24 inf + 0 557.199 * * [simplify]: Extracting #2: cost 143 inf + 1 557.201 * * [simplify]: Extracting #3: cost 284 inf + 301 557.204 * * [simplify]: Extracting #4: cost 282 inf + 840 557.209 * * [simplify]: Extracting #5: cost 219 inf + 8472 557.225 * * [simplify]: Extracting #6: cost 69 inf + 42657 557.240 * * [simplify]: Extracting #7: cost 2 inf + 86974 557.258 * * [simplify]: Extracting #8: cost 0 inf + 88675 557.290 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 557.290 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 557.290 * * * * [progress]: [ 141 / 234 ] simplifiying candidate # 557.290 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) 557.290 * * [simplify]: iters left: 6 (14 enodes) 557.295 * * [simplify]: iters left: 5 (52 enodes) 557.303 * * [simplify]: iters left: 4 (76 enodes) 557.316 * * [simplify]: iters left: 3 (122 enodes) 557.345 * * [simplify]: iters left: 2 (225 enodes) 557.419 * * [simplify]: iters left: 1 (481 enodes) 557.887 * * [simplify]: Extracting #0: cost 1 inf + 0 557.888 * * [simplify]: Extracting #1: cost 35 inf + 0 557.889 * * [simplify]: Extracting #2: cost 166 inf + 1 557.891 * * [simplify]: Extracting #3: cost 299 inf + 261 557.894 * * [simplify]: Extracting #4: cost 292 inf + 923 557.900 * * [simplify]: Extracting #5: cost 212 inf + 11466 557.915 * * [simplify]: Extracting #6: cost 86 inf + 49823 557.934 * * [simplify]: Extracting #7: cost 7 inf + 102470 557.965 * * [simplify]: Extracting #8: cost 0 inf + 109978 557.996 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 557.996 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 557.996 * * * * [progress]: [ 142 / 234 ] simplifiying candidate # 557.997 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 557.997 * * [simplify]: iters left: 6 (15 enodes) 558.002 * * [simplify]: iters left: 5 (57 enodes) 558.014 * * [simplify]: iters left: 4 (86 enodes) 558.043 * * [simplify]: iters left: 3 (147 enodes) 558.096 * * [simplify]: iters left: 2 (292 enodes) 558.235 * * [simplify]: Extracting #0: cost 1 inf + 0 558.235 * * [simplify]: Extracting #1: cost 12 inf + 0 558.235 * * [simplify]: Extracting #2: cost 90 inf + 1 558.236 * * [simplify]: Extracting #3: cost 167 inf + 7 558.238 * * [simplify]: Extracting #4: cost 140 inf + 3739 558.240 * * [simplify]: Extracting #5: cost 126 inf + 5802 558.245 * * [simplify]: Extracting #6: cost 77 inf + 17251 558.255 * * [simplify]: Extracting #7: cost 17 inf + 37270 558.270 * * [simplify]: Extracting #8: cost 0 inf + 53476 558.286 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 558.286 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 558.286 * * * * [progress]: [ 143 / 234 ] simplifiying candidate # 558.287 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) 558.287 * * [simplify]: iters left: 6 (14 enodes) 558.294 * * [simplify]: iters left: 5 (52 enodes) 558.309 * * [simplify]: iters left: 4 (75 enodes) 558.331 * * [simplify]: iters left: 3 (122 enodes) 558.371 * * [simplify]: iters left: 2 (225 enodes) 558.449 * * [simplify]: iters left: 1 (464 enodes) 558.769 * * [simplify]: Extracting #0: cost 1 inf + 0 558.769 * * [simplify]: Extracting #1: cost 34 inf + 0 558.770 * * [simplify]: Extracting #2: cost 160 inf + 1 558.771 * * [simplify]: Extracting #3: cost 283 inf + 261 558.773 * * [simplify]: Extracting #4: cost 277 inf + 923 558.776 * * [simplify]: Extracting #5: cost 201 inf + 10964 558.786 * * [simplify]: Extracting #6: cost 72 inf + 45570 558.812 * * [simplify]: Extracting #7: cost 2 inf + 99075 558.838 * * [simplify]: Extracting #8: cost 0 inf + 100454 558.861 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 558.861 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 558.861 * * * * [progress]: [ 144 / 234 ] simplifiying candidate # 558.861 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) 558.861 * * [simplify]: iters left: 6 (13 enodes) 558.866 * * [simplify]: iters left: 5 (47 enodes) 558.874 * * [simplify]: iters left: 4 (76 enodes) 558.898 * * [simplify]: iters left: 3 (109 enodes) 558.932 * * [simplify]: iters left: 2 (202 enodes) 559.041 * * [simplify]: Extracting #0: cost 1 inf + 0 559.041 * * [simplify]: Extracting #1: cost 16 inf + 0 559.042 * * [simplify]: Extracting #2: cost 69 inf + 1 559.042 * * [simplify]: Extracting #3: cost 88 inf + 6 559.043 * * [simplify]: Extracting #4: cost 80 inf + 508 559.047 * * [simplify]: Extracting #5: cost 31 inf + 16921 559.056 * * [simplify]: Extracting #6: cost 3 inf + 28307 559.066 * * [simplify]: Extracting #7: cost 0 inf + 29875 559.080 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 559.080 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 559.080 * * * * [progress]: [ 145 / 234 ] simplifiying candidate # 559.081 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 559.081 * * [simplify]: iters left: 6 (14 enodes) 559.088 * * [simplify]: iters left: 5 (58 enodes) 559.099 * * [simplify]: iters left: 4 (96 enodes) 559.115 * * [simplify]: iters left: 3 (166 enodes) 559.171 * * [simplify]: iters left: 2 (362 enodes) 559.345 * * [simplify]: Extracting #0: cost 1 inf + 0 559.346 * * [simplify]: Extracting #1: cost 13 inf + 0 559.346 * * [simplify]: Extracting #2: cost 92 inf + 1 559.346 * * [simplify]: Extracting #3: cost 177 inf + 255 559.348 * * [simplify]: Extracting #4: cost 152 inf + 4582 559.350 * * [simplify]: Extracting #5: cost 122 inf + 8806 559.357 * * [simplify]: Extracting #6: cost 50 inf + 29310 559.364 * * [simplify]: Extracting #7: cost 14 inf + 43632 559.373 * * [simplify]: Extracting #8: cost 0 inf + 56840 559.382 * * [simplify]: Extracting #9: cost 0 inf + 54971 559.391 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) 559.392 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 559.392 * * * * [progress]: [ 146 / 234 ] simplifiying candidate # 559.392 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 559.392 * * [simplify]: iters left: 6 (15 enodes) 559.397 * * [simplify]: iters left: 5 (59 enodes) 559.408 * * [simplify]: iters left: 4 (92 enodes) 559.423 * * [simplify]: iters left: 3 (160 enodes) 559.459 * * [simplify]: iters left: 2 (360 enodes) 559.649 * * [simplify]: Extracting #0: cost 1 inf + 0 559.650 * * [simplify]: Extracting #1: cost 12 inf + 0 559.650 * * [simplify]: Extracting #2: cost 112 inf + 1 559.652 * * [simplify]: Extracting #3: cost 232 inf + 296 559.654 * * [simplify]: Extracting #4: cost 217 inf + 3578 559.662 * * [simplify]: Extracting #5: cost 134 inf + 20396 559.675 * * [simplify]: Extracting #6: cost 41 inf + 47228 559.688 * * [simplify]: Extracting #7: cost 7 inf + 72318 559.702 * * [simplify]: Extracting #8: cost 0 inf + 79462 559.720 * * [simplify]: Extracting #9: cost 0 inf + 79306 559.739 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) 559.739 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2))))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 559.739 * * * * [progress]: [ 147 / 234 ] simplifiying candidate # 559.739 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) 559.739 * * [simplify]: iters left: 6 (14 enodes) 559.743 * * [simplify]: iters left: 5 (54 enodes) 559.752 * * [simplify]: iters left: 4 (85 enodes) 559.769 * * [simplify]: iters left: 3 (146 enodes) 559.822 * * [simplify]: iters left: 2 (293 enodes) 559.970 * * [simplify]: Extracting #0: cost 1 inf + 0 559.970 * * [simplify]: Extracting #1: cost 13 inf + 0 559.971 * * [simplify]: Extracting #2: cost 87 inf + 1 559.972 * * [simplify]: Extracting #3: cost 159 inf + 7 559.973 * * [simplify]: Extracting #4: cost 159 inf + 342 559.975 * * [simplify]: Extracting #5: cost 127 inf + 4633 559.981 * * [simplify]: Extracting #6: cost 63 inf + 23123 559.997 * * [simplify]: Extracting #7: cost 4 inf + 48575 560.013 * * [simplify]: Extracting #8: cost 0 inf + 50465 560.023 * * [simplify]: Extracting #9: cost 0 inf + 50370 560.035 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 560.035 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.035 * * * * [progress]: [ 148 / 234 ] simplifiying candidate # 560.035 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 560.035 * * [simplify]: iters left: 6 (15 enodes) 560.041 * * [simplify]: iters left: 5 (59 enodes) 560.058 * * [simplify]: iters left: 4 (94 enodes) 560.075 * * [simplify]: iters left: 3 (165 enodes) 560.132 * * [simplify]: iters left: 2 (386 enodes) 560.328 * * [simplify]: Extracting #0: cost 1 inf + 0 560.328 * * [simplify]: Extracting #1: cost 12 inf + 0 560.328 * * [simplify]: Extracting #2: cost 114 inf + 1 560.330 * * [simplify]: Extracting #3: cost 241 inf + 256 560.333 * * [simplify]: Extracting #4: cost 226 inf + 3217 560.339 * * [simplify]: Extracting #5: cost 143 inf + 20865 560.356 * * [simplify]: Extracting #6: cost 33 inf + 54524 560.371 * * [simplify]: Extracting #7: cost 6 inf + 74905 560.386 * * [simplify]: Extracting #8: cost 0 inf + 81363 560.416 * * [simplify]: Extracting #9: cost 0 inf + 80795 560.450 * * [simplify]: Extracting #10: cost 0 inf + 80558 560.480 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) 560.480 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 560.481 * * * * [progress]: [ 149 / 234 ] simplifiying candidate # 560.481 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) 560.481 * * [simplify]: iters left: 6 (13 enodes) 560.488 * * [simplify]: iters left: 5 (51 enodes) 560.505 * * [simplify]: iters left: 4 (72 enodes) 560.528 * * [simplify]: iters left: 3 (113 enodes) 560.568 * * [simplify]: iters left: 2 (208 enodes) 560.657 * * [simplify]: iters left: 1 (409 enodes) 560.920 * * [simplify]: Extracting #0: cost 1 inf + 0 560.920 * * [simplify]: Extracting #1: cost 27 inf + 0 560.921 * * [simplify]: Extracting #2: cost 154 inf + 1 560.923 * * [simplify]: Extracting #3: cost 265 inf + 300 560.925 * * [simplify]: Extracting #4: cost 247 inf + 2506 560.927 * * [simplify]: Extracting #5: cost 224 inf + 4948 560.930 * * [simplify]: Extracting #6: cost 174 inf + 14493 560.940 * * [simplify]: Extracting #7: cost 55 inf + 51302 560.962 * * [simplify]: Extracting #8: cost 2 inf + 94422 560.982 * * [simplify]: Extracting #9: cost 0 inf + 92725 561.010 * * [simplify]: Extracting #10: cost 0 inf + 92555 561.040 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) 561.040 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 561.040 * * * * [progress]: [ 150 / 234 ] simplifiying candidate # 561.040 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) 561.040 * * [simplify]: iters left: 6 (13 enodes) 561.044 * * [simplify]: iters left: 5 (49 enodes) 561.052 * * [simplify]: iters left: 4 (73 enodes) 561.065 * * [simplify]: iters left: 3 (120 enodes) 561.095 * * [simplify]: iters left: 2 (220 enodes) 561.148 * * [simplify]: iters left: 1 (478 enodes) 561.605 * * [simplify]: Extracting #0: cost 1 inf + 0 561.606 * * [simplify]: Extracting #1: cost 34 inf + 0 561.606 * * [simplify]: Extracting #2: cost 169 inf + 1 561.609 * * [simplify]: Extracting #3: cost 304 inf + 425 561.613 * * [simplify]: Extracting #4: cost 246 inf + 6993 561.625 * * [simplify]: Extracting #5: cost 141 inf + 27466 561.655 * * [simplify]: Extracting #6: cost 26 inf + 79298 561.699 * * [simplify]: Extracting #7: cost 0 inf + 102462 561.733 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 561.733 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 561.733 * * * * [progress]: [ 151 / 234 ] simplifiying candidate # 561.734 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) 561.734 * * [simplify]: iters left: 6 (14 enodes) 561.738 * * [simplify]: iters left: 5 (54 enodes) 561.747 * * [simplify]: iters left: 4 (83 enodes) 561.776 * * [simplify]: iters left: 3 (144 enodes) 561.824 * * [simplify]: iters left: 2 (289 enodes) 561.935 * * [simplify]: Extracting #0: cost 1 inf + 0 561.936 * * [simplify]: Extracting #1: cost 13 inf + 0 561.936 * * [simplify]: Extracting #2: cost 87 inf + 1 561.937 * * [simplify]: Extracting #3: cost 159 inf + 7 561.939 * * [simplify]: Extracting #4: cost 133 inf + 4099 561.941 * * [simplify]: Extracting #5: cost 117 inf + 6206 561.946 * * [simplify]: Extracting #6: cost 75 inf + 15900 561.958 * * [simplify]: Extracting #7: cost 23 inf + 34206 561.974 * * [simplify]: Extracting #8: cost 3 inf + 49035 561.992 * * [simplify]: Extracting #9: cost 0 inf + 52188 562.008 * * [simplify]: Extracting #10: cost 0 inf + 51879 562.016 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 562.016 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.016 * * * * [progress]: [ 152 / 234 ] simplifiying candidate # 562.017 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) 562.017 * * [simplify]: iters left: 6 (13 enodes) 562.023 * * [simplify]: iters left: 5 (49 enodes) 562.031 * * [simplify]: iters left: 4 (72 enodes) 562.052 * * [simplify]: iters left: 3 (120 enodes) 562.093 * * [simplify]: iters left: 2 (223 enodes) 562.195 * * [simplify]: iters left: 1 (484 enodes) 562.606 * * [simplify]: Extracting #0: cost 1 inf + 0 562.606 * * [simplify]: Extracting #1: cost 34 inf + 0 562.607 * * [simplify]: Extracting #2: cost 170 inf + 1 562.610 * * [simplify]: Extracting #3: cost 292 inf + 220 562.613 * * [simplify]: Extracting #4: cost 280 inf + 1452 562.622 * * [simplify]: Extracting #5: cost 159 inf + 22494 562.653 * * [simplify]: Extracting #6: cost 37 inf + 62742 562.706 * * [simplify]: Extracting #7: cost 0 inf + 91400 562.755 * * [simplify]: Extracting #8: cost 0 inf + 91019 562.803 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 562.803 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 562.803 * * * * [progress]: [ 153 / 234 ] simplifiying candidate # 562.803 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) 562.804 * * [simplify]: iters left: 6 (12 enodes) 562.810 * * [simplify]: iters left: 5 (44 enodes) 562.825 * * [simplify]: iters left: 4 (73 enodes) 562.846 * * [simplify]: iters left: 3 (110 enodes) 562.883 * * [simplify]: iters left: 2 (215 enodes) 562.987 * * [simplify]: Extracting #0: cost 1 inf + 0 562.987 * * [simplify]: Extracting #1: cost 17 inf + 0 562.987 * * [simplify]: Extracting #2: cost 77 inf + 1 562.988 * * [simplify]: Extracting #3: cost 99 inf + 6 562.989 * * [simplify]: Extracting #4: cost 94 inf + 425 562.991 * * [simplify]: Extracting #5: cost 54 inf + 9620 563.002 * * [simplify]: Extracting #6: cost 13 inf + 29073 563.014 * * [simplify]: Extracting #7: cost 0 inf + 36658 563.020 * * [simplify]: Extracting #8: cost 0 inf + 36318 563.026 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 563.027 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.027 * * * * [progress]: [ 154 / 234 ] simplifiying candidate # 563.027 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) 563.027 * * [simplify]: iters left: 6 (11 enodes) 563.031 * * [simplify]: iters left: 5 (48 enodes) 563.039 * * [simplify]: iters left: 4 (86 enodes) 563.066 * * [simplify]: iters left: 3 (155 enodes) 563.136 * * [simplify]: iters left: 2 (300 enodes) 563.306 * * [simplify]: Extracting #0: cost 1 inf + 0 563.307 * * [simplify]: Extracting #1: cost 13 inf + 0 563.307 * * [simplify]: Extracting #2: cost 91 inf + 0 563.307 * * [simplify]: Extracting #3: cost 184 inf + 8 563.309 * * [simplify]: Extracting #4: cost 142 inf + 6775 563.313 * * [simplify]: Extracting #5: cost 28 inf + 31749 563.319 * * [simplify]: Extracting #6: cost 7 inf + 42461 563.330 * * [simplify]: Extracting #7: cost 0 inf + 48584 563.344 * * [simplify]: Extracting #8: cost 0 inf + 48171 563.358 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) 563.358 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1/2 (cbrt 2))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.359 * * * * [progress]: [ 155 / 234 ] simplifiying candidate # 563.359 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 563.359 * * [simplify]: iters left: 6 (12 enodes) 563.366 * * [simplify]: iters left: 5 (49 enodes) 563.383 * * [simplify]: iters left: 4 (82 enodes) 563.403 * * [simplify]: iters left: 3 (152 enodes) 563.440 * * [simplify]: iters left: 2 (314 enodes) 563.547 * * [simplify]: Extracting #0: cost 1 inf + 0 563.547 * * [simplify]: Extracting #1: cost 12 inf + 0 563.547 * * [simplify]: Extracting #2: cost 95 inf + 1 563.548 * * [simplify]: Extracting #3: cost 173 inf + 739 563.551 * * [simplify]: Extracting #4: cost 82 inf + 21246 563.558 * * [simplify]: Extracting #5: cost 17 inf + 41542 563.567 * * [simplify]: Extracting #6: cost 0 inf + 57328 563.576 * * [simplify]: Extracting #7: cost 0 inf + 55491 563.585 * * [simplify]: Extracting #8: cost 0 inf + 54978 563.595 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 563.595 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.595 * * * * [progress]: [ 156 / 234 ] simplifiying candidate # 563.595 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) 563.596 * * [simplify]: iters left: 6 (11 enodes) 563.602 * * [simplify]: iters left: 5 (44 enodes) 563.617 * * [simplify]: iters left: 4 (75 enodes) 563.636 * * [simplify]: iters left: 3 (135 enodes) 563.670 * * [simplify]: iters left: 2 (257 enodes) 563.772 * * [simplify]: Extracting #0: cost 1 inf + 0 563.772 * * [simplify]: Extracting #1: cost 12 inf + 0 563.772 * * [simplify]: Extracting #2: cost 67 inf + 1 563.774 * * [simplify]: Extracting #3: cost 114 inf + 7 563.775 * * [simplify]: Extracting #4: cost 104 inf + 911 563.779 * * [simplify]: Extracting #5: cost 42 inf + 14168 563.787 * * [simplify]: Extracting #6: cost 5 inf + 30729 563.798 * * [simplify]: Extracting #7: cost 0 inf + 35035 563.809 * * [simplify]: Extracting #8: cost 0 inf + 34742 563.820 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 563.820 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 563.820 * * * * [progress]: [ 157 / 234 ] simplifiying candidate # 563.821 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) 563.821 * * [simplify]: iters left: 6 (12 enodes) 563.833 * * [simplify]: iters left: 5 (49 enodes) 563.850 * * [simplify]: iters left: 4 (84 enodes) 563.879 * * [simplify]: iters left: 3 (157 enodes) 563.918 * * [simplify]: iters left: 2 (349 enodes) 564.110 * * [simplify]: Extracting #0: cost 1 inf + 0 564.110 * * [simplify]: Extracting #1: cost 13 inf + 0 564.111 * * [simplify]: Extracting #2: cost 104 inf + 1 564.112 * * [simplify]: Extracting #3: cost 208 inf + 742 564.120 * * [simplify]: Extracting #4: cost 99 inf + 23626 564.137 * * [simplify]: Extracting #5: cost 10 inf + 51587 564.155 * * [simplify]: Extracting #6: cost 0 inf + 59406 564.174 * * [simplify]: Extracting #7: cost 0 inf + 59204 564.184 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) 564.185 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 564.185 * * * * [progress]: [ 158 / 234 ] simplifiying candidate # 564.185 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) 564.185 * * [simplify]: iters left: 6 (10 enodes) 564.189 * * [simplify]: iters left: 5 (41 enodes) 564.196 * * [simplify]: iters left: 4 (63 enodes) 564.216 * * [simplify]: iters left: 3 (106 enodes) 564.254 * * [simplify]: iters left: 2 (170 enodes) 564.312 * * [simplify]: iters left: 1 (274 enodes) 564.877 * * [simplify]: Extracting #0: cost 1 inf + 0 564.877 * * [simplify]: Extracting #1: cost 34 inf + 0 564.878 * * [simplify]: Extracting #2: cost 96 inf + 2 564.879 * * [simplify]: Extracting #3: cost 83 inf + 2529 564.883 * * [simplify]: Extracting #4: cost 46 inf + 22891 564.894 * * [simplify]: Extracting #5: cost 2 inf + 52042 564.904 * * [simplify]: Extracting #6: cost 0 inf + 52881 564.916 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 564.916 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI 2) n)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 564.917 * * * * [progress]: [ 159 / 234 ] simplifiying candidate # 564.917 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) 564.917 * * [simplify]: iters left: 6 (10 enodes) 564.920 * * [simplify]: iters left: 5 (39 enodes) 564.927 * * [simplify]: iters left: 4 (63 enodes) 564.938 * * [simplify]: iters left: 3 (109 enodes) 564.973 * * [simplify]: iters left: 2 (194 enodes) 565.057 * * [simplify]: iters left: 1 (379 enodes) 565.261 * * [simplify]: Extracting #0: cost 1 inf + 0 565.261 * * [simplify]: Extracting #1: cost 36 inf + 0 565.261 * * [simplify]: Extracting #2: cost 115 inf + 1 565.262 * * [simplify]: Extracting #3: cost 130 inf + 921 565.264 * * [simplify]: Extracting #4: cost 84 inf + 12198 565.269 * * [simplify]: Extracting #5: cost 46 inf + 29266 565.283 * * [simplify]: Extracting #6: cost 6 inf + 65568 565.303 * * [simplify]: Extracting #7: cost 0 inf + 70626 565.313 * * [simplify]: Extracting #8: cost 0 inf + 69382 565.324 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 565.324 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.325 * * * * [progress]: [ 160 / 234 ] simplifiying candidate # 565.325 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) 565.325 * * [simplify]: iters left: 6 (11 enodes) 565.328 * * [simplify]: iters left: 5 (42 enodes) 565.338 * * [simplify]: iters left: 4 (67 enodes) 565.359 * * [simplify]: iters left: 3 (113 enodes) 565.399 * * [simplify]: iters left: 2 (227 enodes) 565.479 * * [simplify]: iters left: 1 (460 enodes) 565.764 * * [simplify]: Extracting #0: cost 1 inf + 0 565.764 * * [simplify]: Extracting #1: cost 27 inf + 0 565.764 * * [simplify]: Extracting #2: cost 128 inf + 1 565.765 * * [simplify]: Extracting #3: cost 230 inf + 336 565.768 * * [simplify]: Extracting #4: cost 174 inf + 9113 565.779 * * [simplify]: Extracting #5: cost 47 inf + 41174 565.802 * * [simplify]: Extracting #6: cost 8 inf + 76412 565.824 * * [simplify]: Extracting #7: cost 0 inf + 84921 565.837 * * [simplify]: Extracting #8: cost 0 inf + 84670 565.851 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 565.851 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.851 * * * * [progress]: [ 161 / 234 ] simplifiying candidate # 565.851 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) 565.852 * * [simplify]: iters left: 5 (10 enodes) 565.857 * * [simplify]: iters left: 4 (37 enodes) 565.869 * * [simplify]: iters left: 3 (58 enodes) 565.888 * * [simplify]: iters left: 2 (98 enodes) 565.905 * * [simplify]: iters left: 1 (170 enodes) 565.953 * * [simplify]: Extracting #0: cost 1 inf + 0 565.953 * * [simplify]: Extracting #1: cost 12 inf + 0 565.954 * * [simplify]: Extracting #2: cost 51 inf + 1 565.954 * * [simplify]: Extracting #3: cost 75 inf + 6 565.954 * * [simplify]: Extracting #4: cost 65 inf + 882 565.955 * * [simplify]: Extracting #5: cost 36 inf + 4827 565.958 * * [simplify]: Extracting #6: cost 11 inf + 14483 565.963 * * [simplify]: Extracting #7: cost 0 inf + 23347 565.966 * * [simplify]: Extracting #8: cost 0 inf + 23054 565.970 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 565.970 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 565.970 * * * * [progress]: [ 162 / 234 ] simplifiying candidate # 565.970 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) 565.970 * * [simplify]: iters left: 5 (9 enodes) 565.974 * * [simplify]: iters left: 4 (35 enodes) 565.984 * * [simplify]: iters left: 3 (65 enodes) 566.007 * * [simplify]: iters left: 2 (106 enodes) 566.027 * * [simplify]: iters left: 1 (178 enodes) 566.077 * * [simplify]: Extracting #0: cost 1 inf + 0 566.077 * * [simplify]: Extracting #1: cost 18 inf + 0 566.077 * * [simplify]: Extracting #2: cost 35 inf + 46 566.078 * * [simplify]: Extracting #3: cost 27 inf + 930 566.078 * * [simplify]: Extracting #4: cost 12 inf + 6845 566.080 * * [simplify]: Extracting #5: cost 1 inf + 11470 566.081 * * [simplify]: Extracting #6: cost 0 inf + 11764 566.083 * [simplify]: Simplified to (* (* PI 2) n) 566.083 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 566.083 * * * * [progress]: [ 163 / 234 ] simplifiying candidate # 566.083 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 566.083 * * [simplify]: iters left: 6 (10 enodes) 566.086 * * [simplify]: iters left: 5 (41 enodes) 566.093 * * [simplify]: iters left: 4 (66 enodes) 566.115 * * [simplify]: iters left: 3 (116 enodes) 566.156 * * [simplify]: iters left: 2 (219 enodes) 566.273 * * [simplify]: Extracting #0: cost 1 inf + 0 566.273 * * [simplify]: Extracting #1: cost 12 inf + 0 566.273 * * [simplify]: Extracting #2: cost 69 inf + 1 566.274 * * [simplify]: Extracting #3: cost 115 inf + 6 566.275 * * [simplify]: Extracting #4: cost 104 inf + 1247 566.278 * * [simplify]: Extracting #5: cost 56 inf + 11061 566.288 * * [simplify]: Extracting #6: cost 4 inf + 34062 566.299 * * [simplify]: Extracting #7: cost 0 inf + 35882 566.314 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 566.314 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 566.314 * * * * [progress]: [ 164 / 234 ] simplifiying candidate # 566.314 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 566.314 * * [simplify]: iters left: 5 (9 enodes) 566.320 * * [simplify]: iters left: 4 (36 enodes) 566.331 * * [simplify]: iters left: 3 (57 enodes) 566.350 * * [simplify]: iters left: 2 (96 enodes) 566.385 * * [simplify]: iters left: 1 (171 enodes) 566.451 * * [simplify]: Extracting #0: cost 1 inf + 0 566.451 * * [simplify]: Extracting #1: cost 12 inf + 0 566.452 * * [simplify]: Extracting #2: cost 50 inf + 1 566.452 * * [simplify]: Extracting #3: cost 75 inf + 6 566.452 * * [simplify]: Extracting #4: cost 59 inf + 1253 566.454 * * [simplify]: Extracting #5: cost 25 inf + 8058 566.456 * * [simplify]: Extracting #6: cost 3 inf + 20149 566.462 * * [simplify]: Extracting #7: cost 0 inf + 22178 566.469 * * [simplify]: Extracting #8: cost 0 inf + 22007 566.475 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 566.475 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 566.475 * * * * [progress]: [ 165 / 234 ] simplifiying candidate # 566.475 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 566.475 * * [simplify]: iters left: 5 (8 enodes) 566.479 * * [simplify]: iters left: 4 (34 enodes) 566.486 * * [simplify]: iters left: 3 (64 enodes) 566.499 * * [simplify]: iters left: 2 (105 enodes) 566.519 * * [simplify]: iters left: 1 (177 enodes) 566.588 * * [simplify]: Extracting #0: cost 1 inf + 0 566.588 * * [simplify]: Extracting #1: cost 17 inf + 0 566.588 * * [simplify]: Extracting #2: cost 34 inf + 46 566.589 * * [simplify]: Extracting #3: cost 26 inf + 466 566.590 * * [simplify]: Extracting #4: cost 11 inf + 6543 566.592 * * [simplify]: Extracting #5: cost 1 inf + 10885 566.596 * * [simplify]: Extracting #6: cost 0 inf + 11179 566.600 * [simplify]: Simplified to (* (* PI 2) n) 566.600 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 566.600 * * * * [progress]: [ 166 / 234 ] simplifiying candidate # 566.600 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 566.601 * * [simplify]: iters left: 6 (12 enodes) 566.607 * * [simplify]: iters left: 5 (52 enodes) 566.625 * * [simplify]: iters left: 4 (94 enodes) 566.655 * * [simplify]: iters left: 3 (169 enodes) 566.720 * * [simplify]: iters left: 2 (354 enodes) 566.861 * * [simplify]: Extracting #0: cost 1 inf + 0 566.861 * * [simplify]: Extracting #1: cost 13 inf + 0 566.862 * * [simplify]: Extracting #2: cost 83 inf + 1 566.863 * * [simplify]: Extracting #3: cost 178 inf + 6 566.865 * * [simplify]: Extracting #4: cost 164 inf + 10984 566.880 * * [simplify]: Extracting #5: cost 31 inf + 45242 566.898 * * [simplify]: Extracting #6: cost 0 inf + 58421 566.916 * * [simplify]: Extracting #7: cost 0 inf + 57935 566.926 * * [simplify]: Extracting #8: cost 0 inf + 57804 566.935 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) 566.936 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 566.936 * * * * [progress]: [ 167 / 234 ] simplifiying candidate # 566.936 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) 566.936 * * [simplify]: iters left: 5 (11 enodes) 566.939 * * [simplify]: iters left: 4 (47 enodes) 566.947 * * [simplify]: iters left: 3 (80 enodes) 566.962 * * [simplify]: iters left: 2 (135 enodes) 566.986 * * [simplify]: iters left: 1 (261 enodes) 567.087 * * [simplify]: Extracting #0: cost 1 inf + 0 567.087 * * [simplify]: Extracting #1: cost 13 inf + 0 567.087 * * [simplify]: Extracting #2: cost 66 inf + 1 567.088 * * [simplify]: Extracting #3: cost 127 inf + 6 567.089 * * [simplify]: Extracting #4: cost 140 inf + 427 567.093 * * [simplify]: Extracting #5: cost 63 inf + 13922 567.104 * * [simplify]: Extracting #6: cost 2 inf + 35374 567.116 * * [simplify]: Extracting #7: cost 0 inf + 36433 567.133 * * [simplify]: Extracting #8: cost 0 inf + 36343 567.146 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) 567.146 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 567.146 * * * * [progress]: [ 168 / 234 ] simplifiying candidate # 567.146 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 567.146 * * [simplify]: iters left: 5 (10 enodes) 567.152 * * [simplify]: iters left: 4 (42 enodes) 567.167 * * [simplify]: iters left: 3 (74 enodes) 567.190 * * [simplify]: iters left: 2 (111 enodes) 567.225 * * [simplify]: iters left: 1 (185 enodes) 567.292 * * [simplify]: Extracting #0: cost 1 inf + 0 567.292 * * [simplify]: Extracting #1: cost 13 inf + 0 567.292 * * [simplify]: Extracting #2: cost 62 inf + 1 567.293 * * [simplify]: Extracting #3: cost 84 inf + 379 567.293 * * [simplify]: Extracting #4: cost 59 inf + 3407 567.295 * * [simplify]: Extracting #5: cost 19 inf + 14227 567.299 * * [simplify]: Extracting #6: cost 0 inf + 27730 567.303 * * [simplify]: Extracting #7: cost 0 inf + 26782 567.307 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 567.307 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ (/ 1 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 567.307 * * * * [progress]: [ 169 / 234 ] simplifiying candidate # 567.307 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 567.307 * * [simplify]: iters left: 5 (7 enodes) 567.310 * * [simplify]: iters left: 4 (30 enodes) 567.317 * * [simplify]: iters left: 3 (58 enodes) 567.329 * * [simplify]: iters left: 2 (99 enodes) 567.357 * * [simplify]: iters left: 1 (171 enodes) 567.408 * * [simplify]: Extracting #0: cost 1 inf + 0 567.409 * * [simplify]: Extracting #1: cost 18 inf + 0 567.409 * * [simplify]: Extracting #2: cost 35 inf + 46 567.409 * * [simplify]: Extracting #3: cost 25 inf + 1347 567.410 * * [simplify]: Extracting #4: cost 14 inf + 5442 567.412 * * [simplify]: Extracting #5: cost 7 inf + 7909 567.414 * * [simplify]: Extracting #6: cost 0 inf + 11764 567.417 * [simplify]: Simplified to (* (* PI 2) n) 567.417 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 567.417 * * * * [progress]: [ 170 / 234 ] simplifiying candidate # 567.418 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 567.418 * * [simplify]: iters left: 5 (10 enodes) 567.423 * * [simplify]: iters left: 4 (45 enodes) 567.438 * * [simplify]: iters left: 3 (78 enodes) 567.457 * * [simplify]: iters left: 2 (120 enodes) 567.480 * * [simplify]: iters left: 1 (205 enodes) 567.542 * * [simplify]: Extracting #0: cost 1 inf + 0 567.542 * * [simplify]: Extracting #1: cost 13 inf + 0 567.542 * * [simplify]: Extracting #2: cost 64 inf + 1 567.542 * * [simplify]: Extracting #3: cost 99 inf + 49 567.543 * * [simplify]: Extracting #4: cost 97 inf + 806 567.544 * * [simplify]: Extracting #5: cost 58 inf + 4778 567.547 * * [simplify]: Extracting #6: cost 15 inf + 17624 567.550 * * [simplify]: Extracting #7: cost 1 inf + 26643 567.554 * * [simplify]: Extracting #8: cost 0 inf + 26968 567.558 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 567.559 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 567.559 * * * * [progress]: [ 171 / 234 ] simplifiying candidate # 567.559 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 567.559 * * [simplify]: iters left: 6 (8 enodes) 567.562 * * [simplify]: iters left: 5 (38 enodes) 567.569 * * [simplify]: iters left: 4 (66 enodes) 567.587 * * [simplify]: iters left: 3 (112 enodes) 567.609 * * [simplify]: iters left: 2 (214 enodes) 567.686 * * [simplify]: iters left: 1 (443 enodes) 567.879 * * [simplify]: Extracting #0: cost 1 inf + 0 567.879 * * [simplify]: Extracting #1: cost 29 inf + 0 567.879 * * [simplify]: Extracting #2: cost 107 inf + 2 567.880 * * [simplify]: Extracting #3: cost 174 inf + 10 567.882 * * [simplify]: Extracting #4: cost 159 inf + 3343 567.886 * * [simplify]: Extracting #5: cost 62 inf + 19318 567.894 * * [simplify]: Extracting #6: cost 6 inf + 54396 567.903 * * [simplify]: Extracting #7: cost 0 inf + 60233 567.912 * * [simplify]: Extracting #8: cost 0 inf + 59720 567.922 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 567.922 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 567.922 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 567.922 * * [simplify]: iters left: 6 (9 enodes) 567.926 * * [simplify]: iters left: 5 (42 enodes) 567.934 * * [simplify]: iters left: 4 (70 enodes) 567.949 * * [simplify]: iters left: 3 (120 enodes) 567.979 * * [simplify]: iters left: 2 (236 enodes) 568.038 * * [simplify]: iters left: 1 (442 enodes) 568.263 * * [simplify]: Extracting #0: cost 1 inf + 0 568.264 * * [simplify]: Extracting #1: cost 27 inf + 0 568.264 * * [simplify]: Extracting #2: cost 112 inf + 1 568.265 * * [simplify]: Extracting #3: cost 188 inf + 94 568.266 * * [simplify]: Extracting #4: cost 186 inf + 929 568.268 * * [simplify]: Extracting #5: cost 101 inf + 11038 568.275 * * [simplify]: Extracting #6: cost 28 inf + 41171 568.285 * * [simplify]: Extracting #7: cost 0 inf + 65078 568.296 * * [simplify]: Extracting #8: cost 0 inf + 63457 568.320 * * [simplify]: Extracting #9: cost 0 inf + 62651 568.340 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 568.340 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 568.340 * * * * [progress]: [ 172 / 234 ] simplifiying candidate # 568.340 * * * * [progress]: [ 173 / 234 ] simplifiying candidate # 568.341 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 568.341 * * [simplify]: iters left: 6 (12 enodes) 568.348 * * [simplify]: iters left: 5 (56 enodes) 568.369 * * [simplify]: iters left: 4 (108 enodes) 568.395 * * [simplify]: iters left: 3 (245 enodes) 568.455 * * [simplify]: Extracting #0: cost 1 inf + 0 568.455 * * [simplify]: Extracting #1: cost 55 inf + 0 568.456 * * [simplify]: Extracting #2: cost 142 inf + 3 568.457 * * [simplify]: Extracting #3: cost 209 inf + 677 568.462 * * [simplify]: Extracting #4: cost 130 inf + 13156 568.474 * * [simplify]: Extracting #5: cost 18 inf + 36526 568.489 * * [simplify]: Extracting #6: cost 1 inf + 42976 568.506 * * [simplify]: Extracting #7: cost 0 inf + 43211 568.522 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (log (* (* PI 2) n)))) 568.522 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- 1 k) (/ 4 (log (* (* PI 2) n))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 568.522 * * * * [progress]: [ 174 / 234 ] simplifiying candidate # 568.523 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 568.523 * * [simplify]: iters left: 6 (12 enodes) 568.534 * * [simplify]: iters left: 5 (54 enodes) 568.552 * * [simplify]: iters left: 4 (92 enodes) 568.583 * * [simplify]: iters left: 3 (154 enodes) 568.629 * * [simplify]: iters left: 2 (300 enodes) 568.706 * * [simplify]: Extracting #0: cost 1 inf + 0 568.706 * * [simplify]: Extracting #1: cost 18 inf + 0 568.706 * * [simplify]: Extracting #2: cost 66 inf + 0 568.707 * * [simplify]: Extracting #3: cost 143 inf + 3 568.708 * * [simplify]: Extracting #4: cost 160 inf + 223 568.709 * * [simplify]: Extracting #5: cost 162 inf + 516 568.713 * * [simplify]: Extracting #6: cost 103 inf + 9939 568.724 * * [simplify]: Extracting #7: cost 35 inf + 40880 568.739 * * [simplify]: Extracting #8: cost 8 inf + 56016 568.755 * * [simplify]: Extracting #9: cost 1 inf + 58028 568.771 * * [simplify]: Extracting #10: cost 0 inf + 58142 568.778 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 568.778 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (log (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 568.779 * * * * [progress]: [ 175 / 234 ] simplifiying candidate # 568.779 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 568.779 * * [simplify]: iters left: 6 (13 enodes) 568.783 * * [simplify]: iters left: 5 (57 enodes) 568.793 * * [simplify]: iters left: 4 (93 enodes) 568.808 * * [simplify]: iters left: 3 (149 enodes) 568.848 * * [simplify]: iters left: 2 (272 enodes) 568.950 * * [simplify]: iters left: 1 (485 enodes) 569.187 * * [simplify]: Extracting #0: cost 1 inf + 0 569.187 * * [simplify]: Extracting #1: cost 3 inf + 0 569.187 * * [simplify]: Extracting #2: cost 5 inf + 0 569.188 * * [simplify]: Extracting #3: cost 31 inf + 0 569.188 * * [simplify]: Extracting #4: cost 123 inf + 1 569.189 * * [simplify]: Extracting #5: cost 201 inf + 220 569.190 * * [simplify]: Extracting #6: cost 194 inf + 1310 569.193 * * [simplify]: Extracting #7: cost 83 inf + 16707 569.202 * * [simplify]: Extracting #8: cost 14 inf + 55928 569.213 * * [simplify]: Extracting #9: cost 0 inf + 68910 569.225 * * [simplify]: Extracting #10: cost 0 inf + 68317 569.237 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) 569.237 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (* (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 569.237 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 569.237 * * [simplify]: iters left: 6 (12 enodes) 569.244 * * [simplify]: iters left: 5 (54 enodes) 569.253 * * [simplify]: iters left: 4 (90 enodes) 569.269 * * [simplify]: iters left: 3 (149 enodes) 569.299 * * [simplify]: iters left: 2 (273 enodes) 569.372 * * [simplify]: iters left: 1 (481 enodes) 569.684 * * [simplify]: Extracting #0: cost 1 inf + 0 569.684 * * [simplify]: Extracting #1: cost 3 inf + 0 569.684 * * [simplify]: Extracting #2: cost 32 inf + 0 569.685 * * [simplify]: Extracting #3: cost 131 inf + 1 569.686 * * [simplify]: Extracting #4: cost 215 inf + 221 569.689 * * [simplify]: Extracting #5: cost 203 inf + 1968 569.698 * * [simplify]: Extracting #6: cost 81 inf + 23437 569.723 * * [simplify]: Extracting #7: cost 9 inf + 62468 569.743 * * [simplify]: Extracting #8: cost 0 inf + 66761 569.764 * * [simplify]: Extracting #9: cost 0 inf + 66158 569.798 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 569.798 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 569.799 * * * * [progress]: [ 176 / 234 ] simplifiying candidate # 569.799 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 569.799 * * [simplify]: iters left: 6 (13 enodes) 569.803 * * [simplify]: iters left: 5 (60 enodes) 569.817 * * [simplify]: iters left: 4 (118 enodes) 569.843 * * [simplify]: iters left: 3 (255 enodes) 569.934 * * [simplify]: Extracting #0: cost 1 inf + 0 569.934 * * [simplify]: Extracting #1: cost 19 inf + 0 569.935 * * [simplify]: Extracting #2: cost 66 inf + 1 569.935 * * [simplify]: Extracting #3: cost 113 inf + 3 569.936 * * [simplify]: Extracting #4: cost 121 inf + 181 569.937 * * [simplify]: Extracting #5: cost 117 inf + 724 569.940 * * [simplify]: Extracting #6: cost 59 inf + 14521 569.949 * * [simplify]: Extracting #7: cost 15 inf + 35294 569.960 * * [simplify]: Extracting #8: cost 0 inf + 46043 569.972 * * [simplify]: Extracting #9: cost 0 inf + 45821 569.983 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8))))) 569.983 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (cbrt (* (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* (* PI 2) n) (/ (- 1 k) 8)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 569.984 * * * * [progress]: [ 177 / 234 ] simplifiying candidate # 569.984 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 569.984 * * [simplify]: iters left: 6 (12 enodes) 569.991 * * [simplify]: iters left: 5 (54 enodes) 570.007 * * [simplify]: iters left: 4 (91 enodes) 570.034 * * [simplify]: iters left: 3 (147 enodes) 570.085 * * [simplify]: iters left: 2 (263 enodes) 570.180 * * [simplify]: iters left: 1 (483 enodes) 570.465 * * [simplify]: Extracting #0: cost 1 inf + 0 570.465 * * [simplify]: Extracting #1: cost 4 inf + 0 570.465 * * [simplify]: Extracting #2: cost 32 inf + 0 570.466 * * [simplify]: Extracting #3: cost 118 inf + 1 570.467 * * [simplify]: Extracting #4: cost 184 inf + 221 570.470 * * [simplify]: Extracting #5: cost 154 inf + 6308 570.483 * * [simplify]: Extracting #6: cost 52 inf + 28839 570.501 * * [simplify]: Extracting #7: cost 16 inf + 46925 570.526 * * [simplify]: Extracting #8: cost 0 inf + 59459 570.551 * * [simplify]: Extracting #9: cost 0 inf + 58419 570.580 * * [simplify]: Extracting #10: cost 0 inf + 58379 570.605 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 570.605 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 570.606 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 570.606 * * [simplify]: iters left: 6 (12 enodes) 570.610 * * [simplify]: iters left: 5 (54 enodes) 570.619 * * [simplify]: iters left: 4 (91 enodes) 570.634 * * [simplify]: iters left: 3 (147 enodes) 570.683 * * [simplify]: iters left: 2 (263 enodes) 570.752 * * [simplify]: iters left: 1 (483 enodes) 570.917 * * [simplify]: Extracting #0: cost 1 inf + 0 570.917 * * [simplify]: Extracting #1: cost 4 inf + 0 570.917 * * [simplify]: Extracting #2: cost 32 inf + 0 570.918 * * [simplify]: Extracting #3: cost 118 inf + 1 570.918 * * [simplify]: Extracting #4: cost 184 inf + 221 570.920 * * [simplify]: Extracting #5: cost 154 inf + 6308 570.926 * * [simplify]: Extracting #6: cost 52 inf + 28839 570.935 * * [simplify]: Extracting #7: cost 16 inf + 46925 570.948 * * [simplify]: Extracting #8: cost 0 inf + 59459 570.961 * * [simplify]: Extracting #9: cost 0 inf + 58419 570.981 * * [simplify]: Extracting #10: cost 0 inf + 58379 571.001 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) 571.001 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.002 * * * * [progress]: [ 178 / 234 ] simplifiying candidate # 571.002 * * * * [progress]: [ 179 / 234 ] simplifiying candidate # 571.002 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 571.002 * * [simplify]: iters left: 6 (12 enodes) 571.010 * * [simplify]: iters left: 5 (55 enodes) 571.027 * * [simplify]: iters left: 4 (97 enodes) 571.054 * * [simplify]: iters left: 3 (161 enodes) 571.103 * * [simplify]: iters left: 2 (302 enodes) 571.199 * * [simplify]: Extracting #0: cost 1 inf + 0 571.199 * * [simplify]: Extracting #1: cost 14 inf + 0 571.199 * * [simplify]: Extracting #2: cost 72 inf + 1 571.200 * * [simplify]: Extracting #3: cost 125 inf + 10 571.201 * * [simplify]: Extracting #4: cost 118 inf + 767 571.204 * * [simplify]: Extracting #5: cost 55 inf + 8389 571.209 * * [simplify]: Extracting #6: cost 15 inf + 19807 571.217 * * [simplify]: Extracting #7: cost 2 inf + 30022 571.226 * * [simplify]: Extracting #8: cost 0 inf + 31356 571.234 * * [simplify]: Extracting #9: cost 0 inf + 31315 571.243 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 571.243 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 8)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.244 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 571.244 * * [simplify]: iters left: 6 (12 enodes) 571.253 * * [simplify]: iters left: 5 (55 enodes) 571.270 * * [simplify]: iters left: 4 (97 enodes) 571.297 * * [simplify]: iters left: 3 (161 enodes) 571.341 * * [simplify]: iters left: 2 (302 enodes) 571.400 * * [simplify]: Extracting #0: cost 1 inf + 0 571.400 * * [simplify]: Extracting #1: cost 14 inf + 0 571.400 * * [simplify]: Extracting #2: cost 72 inf + 1 571.400 * * [simplify]: Extracting #3: cost 125 inf + 10 571.401 * * [simplify]: Extracting #4: cost 118 inf + 767 571.402 * * [simplify]: Extracting #5: cost 55 inf + 8389 571.406 * * [simplify]: Extracting #6: cost 15 inf + 19807 571.410 * * [simplify]: Extracting #7: cost 2 inf + 30022 571.415 * * [simplify]: Extracting #8: cost 0 inf + 31356 571.420 * * [simplify]: Extracting #9: cost 0 inf + 31315 571.428 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 8)) 571.428 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 8))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.428 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> 571.428 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 571.428 * * [simplify]: iters left: 6 (12 enodes) 571.432 * * [simplify]: iters left: 5 (51 enodes) 571.441 * * [simplify]: iters left: 4 (87 enodes) 571.456 * * [simplify]: iters left: 3 (146 enodes) 571.484 * * [simplify]: iters left: 2 (263 enodes) 571.537 * * [simplify]: iters left: 1 (491 enodes) 571.753 * * [simplify]: Extracting #0: cost 1 inf + 0 571.753 * * [simplify]: Extracting #1: cost 2 inf + 0 571.753 * * [simplify]: Extracting #2: cost 27 inf + 0 571.754 * * [simplify]: Extracting #3: cost 129 inf + 1 571.755 * * [simplify]: Extracting #4: cost 217 inf + 179 571.757 * * [simplify]: Extracting #5: cost 210 inf + 1229 571.763 * * [simplify]: Extracting #6: cost 99 inf + 15873 571.776 * * [simplify]: Extracting #7: cost 25 inf + 51561 571.795 * * [simplify]: Extracting #8: cost 0 inf + 72079 571.814 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k)))) 571.814 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/4 (- 1 k))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.814 * * * * [progress]: [ 181 / 234 ] simplifiying candidate # 571.815 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 571.815 * * [simplify]: iters left: 5 (6 enodes) 571.817 * * [simplify]: iters left: 4 (22 enodes) 571.823 * * [simplify]: iters left: 3 (30 enodes) 571.830 * * [simplify]: iters left: 2 (35 enodes) 571.837 * * [simplify]: Extracting #0: cost 1 inf + 0 571.837 * * [simplify]: Extracting #1: cost 3 inf + 0 571.838 * * [simplify]: Extracting #2: cost 10 inf + 0 571.838 * * [simplify]: Extracting #3: cost 10 inf + 3 571.838 * * [simplify]: Extracting #4: cost 6 inf + 171 571.838 * * [simplify]: Extracting #5: cost 1 inf + 574 571.838 * * [simplify]: Extracting #6: cost 0 inf + 727 571.842 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 571.842 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log1p (expm1 (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.842 * * * * [progress]: [ 182 / 234 ] simplifiying candidate # 571.842 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 571.842 * * [simplify]: iters left: 5 (6 enodes) 571.845 * * [simplify]: iters left: 4 (22 enodes) 571.851 * * [simplify]: iters left: 3 (30 enodes) 571.858 * * [simplify]: iters left: 2 (35 enodes) 571.866 * * [simplify]: Extracting #0: cost 1 inf + 0 571.866 * * [simplify]: Extracting #1: cost 3 inf + 0 571.866 * * [simplify]: Extracting #2: cost 10 inf + 0 571.866 * * [simplify]: Extracting #3: cost 10 inf + 3 571.866 * * [simplify]: Extracting #4: cost 6 inf + 171 571.866 * * [simplify]: Extracting #5: cost 1 inf + 594 571.866 * * [simplify]: Extracting #6: cost 0 inf + 767 571.867 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 571.867 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (expm1 (log1p (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.867 * * * * [progress]: [ 183 / 234 ] simplifiying candidate # 571.867 * [simplify]: Simplifying (* n (* 2 PI)) 571.867 * * [simplify]: iters left: 4 (5 enodes) 571.870 * * [simplify]: iters left: 3 (19 enodes) 571.875 * * [simplify]: iters left: 2 (27 enodes) 571.881 * * [simplify]: iters left: 1 (32 enodes) 571.888 * * [simplify]: Extracting #0: cost 1 inf + 0 571.888 * * [simplify]: Extracting #1: cost 8 inf + 0 571.888 * * [simplify]: Extracting #2: cost 7 inf + 45 571.888 * * [simplify]: Extracting #3: cost 0 inf + 421 571.889 * [simplify]: Simplified to (* (* PI 2) n) 571.889 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.889 * * * * [progress]: [ 184 / 234 ] simplifiying candidate # 571.889 * [simplify]: Simplifying (* n (* 2 PI)) 571.889 * * [simplify]: iters left: 4 (5 enodes) 571.891 * * [simplify]: iters left: 3 (19 enodes) 571.896 * * [simplify]: iters left: 2 (27 enodes) 571.903 * * [simplify]: iters left: 1 (32 enodes) 571.910 * * [simplify]: Extracting #0: cost 1 inf + 0 571.910 * * [simplify]: Extracting #1: cost 8 inf + 0 571.910 * * [simplify]: Extracting #2: cost 7 inf + 45 571.911 * * [simplify]: Extracting #3: cost 0 inf + 421 571.911 * [simplify]: Simplified to (* (* PI 2) n) 571.911 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.911 * * * * [progress]: [ 185 / 234 ] simplifiying candidate # 571.911 * * * * [progress]: [ 186 / 234 ] simplifiying candidate # 571.911 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 571.911 * * [simplify]: iters left: 5 (8 enodes) 571.915 * * [simplify]: iters left: 4 (28 enodes) 571.922 * * [simplify]: iters left: 3 (36 enodes) 571.931 * * [simplify]: iters left: 2 (42 enodes) 571.940 * * [simplify]: Extracting #0: cost 1 inf + 0 571.941 * * [simplify]: Extracting #1: cost 8 inf + 0 571.941 * * [simplify]: Extracting #2: cost 17 inf + 0 571.941 * * [simplify]: Extracting #3: cost 12 inf + 145 571.941 * * [simplify]: Extracting #4: cost 5 inf + 1197 571.941 * * [simplify]: Extracting #5: cost 1 inf + 1925 571.942 * * [simplify]: Extracting #6: cost 0 inf + 2107 571.943 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 571.943 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.943 * * * * [progress]: [ 187 / 234 ] simplifiying candidate # 571.943 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 571.943 * * [simplify]: iters left: 5 (7 enodes) 571.947 * * [simplify]: iters left: 4 (26 enodes) 571.953 * * [simplify]: iters left: 3 (35 enodes) 571.962 * * [simplify]: iters left: 2 (44 enodes) 571.975 * * [simplify]: Extracting #0: cost 1 inf + 0 571.975 * * [simplify]: Extracting #1: cost 8 inf + 0 571.975 * * [simplify]: Extracting #2: cost 18 inf + 0 571.975 * * [simplify]: Extracting #3: cost 15 inf + 74 571.975 * * [simplify]: Extracting #4: cost 8 inf + 554 571.976 * * [simplify]: Extracting #5: cost 0 inf + 1911 571.976 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 571.976 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 571.977 * * * * [progress]: [ 188 / 234 ] simplifiying candidate # 571.977 * [simplify]: Simplifying (log (* n (* 2 PI))) 571.977 * * [simplify]: iters left: 5 (6 enodes) 571.980 * * [simplify]: iters left: 4 (25 enodes) 571.987 * * [simplify]: iters left: 3 (44 enodes) 571.998 * * [simplify]: iters left: 2 (62 enodes) 572.013 * * [simplify]: iters left: 1 (70 enodes) 572.025 * * [simplify]: Extracting #0: cost 1 inf + 0 572.025 * * [simplify]: Extracting #1: cost 9 inf + 0 572.025 * * [simplify]: Extracting #2: cost 22 inf + 0 572.025 * * [simplify]: Extracting #3: cost 19 inf + 228 572.026 * * [simplify]: Extracting #4: cost 6 inf + 1211 572.026 * * [simplify]: Extracting #5: cost 1 inf + 1713 572.026 * * [simplify]: Extracting #6: cost 0 inf + 1825 572.027 * [simplify]: Simplified to (log (* (* PI 2) n)) 572.027 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (log (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 572.027 * * * * [progress]: [ 189 / 234 ] simplifiying candidate # 572.027 * [simplify]: Simplifying (exp (* n (* 2 PI))) 572.027 * * [simplify]: iters left: 5 (6 enodes) 572.030 * * [simplify]: iters left: 4 (24 enodes) 572.036 * * [simplify]: iters left: 3 (41 enodes) 572.044 * * [simplify]: iters left: 2 (77 enodes) 572.057 * * [simplify]: iters left: 1 (133 enodes) 572.081 * * [simplify]: Extracting #0: cost 1 inf + 0 572.081 * * [simplify]: Extracting #1: cost 35 inf + 0 572.082 * * [simplify]: Extracting #2: cost 76 inf + 902 572.083 * * [simplify]: Extracting #3: cost 70 inf + 5334 572.086 * * [simplify]: Extracting #4: cost 21 inf + 16365 572.090 * * [simplify]: Extracting #5: cost 2 inf + 21849 572.094 * * [simplify]: Extracting #6: cost 0 inf + 22004 572.098 * [simplify]: Simplified to (exp (* n (+ PI PI))) 572.098 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log (exp (* n (+ PI PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 572.098 * * * * [progress]: [ 190 / 234 ] simplifiying candidate # 572.099 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 572.099 * * [simplify]: iters left: 6 (11 enodes) 572.106 * * [simplify]: iters left: 5 (48 enodes) 572.123 * * [simplify]: iters left: 4 (121 enodes) 572.178 * * [simplify]: iters left: 3 (348 enodes) 572.366 * * [simplify]: Extracting #0: cost 1 inf + 0 572.366 * * [simplify]: Extracting #1: cost 67 inf + 0 572.367 * * [simplify]: Extracting #2: cost 165 inf + 786 572.370 * * [simplify]: Extracting #3: cost 81 inf + 10746 572.375 * * [simplify]: Extracting #4: cost 9 inf + 26018 572.385 * * [simplify]: Extracting #5: cost 0 inf + 28546 572.391 * * [simplify]: Extracting #6: cost 0 inf + 28506 572.397 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 572.397 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 572.397 * * * * [progress]: [ 191 / 234 ] simplifiying candidate # 572.398 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 572.398 * * [simplify]: iters left: 6 (9 enodes) 572.401 * * [simplify]: iters left: 5 (45 enodes) 572.412 * * [simplify]: iters left: 4 (117 enodes) 572.453 * * [simplify]: iters left: 3 (377 enodes) 572.733 * * [simplify]: Extracting #0: cost 1 inf + 0 572.733 * * [simplify]: Extracting #1: cost 79 inf + 0 572.734 * * [simplify]: Extracting #2: cost 191 inf + 659 572.738 * * [simplify]: Extracting #3: cost 100 inf + 13238 572.749 * * [simplify]: Extracting #4: cost 6 inf + 31685 572.765 * * [simplify]: Extracting #5: cost 0 inf + 32539 572.780 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 572.780 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 572.781 * * * * [progress]: [ 192 / 234 ] simplifiying candidate # 572.781 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 572.781 * * [simplify]: iters left: 6 (7 enodes) 572.784 * * [simplify]: iters left: 5 (25 enodes) 572.790 * * [simplify]: iters left: 4 (33 enodes) 572.794 * * [simplify]: iters left: 3 (39 enodes) 572.799 * * [simplify]: Extracting #0: cost 1 inf + 0 572.799 * * [simplify]: Extracting #1: cost 3 inf + 0 572.799 * * [simplify]: Extracting #2: cost 5 inf + 0 572.799 * * [simplify]: Extracting #3: cost 12 inf + 0 572.799 * * [simplify]: Extracting #4: cost 11 inf + 45 572.799 * * [simplify]: Extracting #5: cost 5 inf + 500 572.800 * * [simplify]: Extracting #6: cost 1 inf + 950 572.800 * * [simplify]: Extracting #7: cost 0 inf + 1153 572.800 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 572.800 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 572.800 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 572.800 * * [simplify]: iters left: 5 (6 enodes) 572.802 * * [simplify]: iters left: 4 (22 enodes) 572.805 * * [simplify]: iters left: 3 (30 enodes) 572.809 * * [simplify]: iters left: 2 (35 enodes) 572.813 * * [simplify]: Extracting #0: cost 1 inf + 0 572.814 * * [simplify]: Extracting #1: cost 3 inf + 0 572.814 * * [simplify]: Extracting #2: cost 10 inf + 0 572.814 * * [simplify]: Extracting #3: cost 10 inf + 3 572.815 * * [simplify]: Extracting #4: cost 6 inf + 171 572.815 * * [simplify]: Extracting #5: cost 1 inf + 584 572.816 * * [simplify]: Extracting #6: cost 0 inf + 747 572.816 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 572.816 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 572.816 * * * * [progress]: [ 193 / 234 ] simplifiying candidate # 572.816 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 572.816 * * [simplify]: iters left: 6 (7 enodes) 572.819 * * [simplify]: iters left: 5 (35 enodes) 572.826 * * [simplify]: iters left: 4 (120 enodes) 572.867 * * [simplify]: iters left: 3 (434 enodes) 573.229 * * [simplify]: Extracting #0: cost 1 inf + 0 573.229 * * [simplify]: Extracting #1: cost 75 inf + 0 573.230 * * [simplify]: Extracting #2: cost 190 inf + 661 573.234 * * [simplify]: Extracting #3: cost 73 inf + 17047 573.243 * * [simplify]: Extracting #4: cost 3 inf + 27583 573.256 * * [simplify]: Extracting #5: cost 0 inf + 27781 573.265 * * [simplify]: Extracting #6: cost 0 inf + 27740 573.274 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 573.274 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.275 * * * * [progress]: [ 194 / 234 ] simplifiying candidate # 573.275 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 573.275 * * [simplify]: iters left: 5 (6 enodes) 573.277 * * [simplify]: iters left: 4 (22 enodes) 573.280 * * [simplify]: iters left: 3 (30 enodes) 573.284 * * [simplify]: iters left: 2 (35 enodes) 573.290 * * [simplify]: Extracting #0: cost 1 inf + 0 573.290 * * [simplify]: Extracting #1: cost 3 inf + 0 573.290 * * [simplify]: Extracting #2: cost 10 inf + 0 573.290 * * [simplify]: Extracting #3: cost 10 inf + 3 573.290 * * [simplify]: Extracting #4: cost 6 inf + 171 573.291 * * [simplify]: Extracting #5: cost 1 inf + 544 573.291 * * [simplify]: Extracting #6: cost 0 inf + 667 573.291 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 573.291 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.292 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 573.292 * * [simplify]: iters left: 5 (6 enodes) 573.295 * * [simplify]: iters left: 4 (22 enodes) 573.301 * * [simplify]: iters left: 3 (30 enodes) 573.307 * * [simplify]: iters left: 2 (35 enodes) 573.312 * * [simplify]: Extracting #0: cost 1 inf + 0 573.312 * * [simplify]: Extracting #1: cost 3 inf + 0 573.312 * * [simplify]: Extracting #2: cost 10 inf + 0 573.312 * * [simplify]: Extracting #3: cost 10 inf + 3 573.312 * * [simplify]: Extracting #4: cost 6 inf + 171 573.312 * * [simplify]: Extracting #5: cost 1 inf + 544 573.312 * * [simplify]: Extracting #6: cost 0 inf + 667 573.312 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 573.312 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.312 * * * * [progress]: [ 195 / 234 ] simplifiying candidate # 573.313 * * * * [progress]: [ 196 / 234 ] simplifiying candidate # 573.313 * [simplify]: Simplifying (* n 2) 573.313 * * [simplify]: iters left: 2 (3 enodes) 573.314 * * [simplify]: iters left: 1 (10 enodes) 573.316 * * [simplify]: Extracting #0: cost 1 inf + 0 573.316 * * [simplify]: Extracting #1: cost 4 inf + 0 573.316 * * [simplify]: Extracting #2: cost 2 inf + 2 573.316 * * [simplify]: Extracting #3: cost 0 inf + 86 573.316 * [simplify]: Simplified to (* n 2) 573.316 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.316 * * * * [progress]: [ 197 / 234 ] simplifiying candidate # 573.316 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 573.316 * * [simplify]: iters left: 4 (6 enodes) 573.318 * * [simplify]: iters left: 3 (22 enodes) 573.321 * * [simplify]: iters left: 2 (30 enodes) 573.325 * * [simplify]: iters left: 1 (35 enodes) 573.330 * * [simplify]: Extracting #0: cost 1 inf + 0 573.330 * * [simplify]: Extracting #1: cost 8 inf + 0 573.330 * * [simplify]: Extracting #2: cost 10 inf + 44 573.330 * * [simplify]: Extracting #3: cost 8 inf + 87 573.330 * * [simplify]: Extracting #4: cost 5 inf + 453 573.331 * * [simplify]: Extracting #5: cost 0 inf + 1063 573.331 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 573.331 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.331 * * * * [progress]: [ 198 / 234 ] simplifiying candidate # 573.331 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 573.331 * * [simplify]: iters left: 4 (6 enodes) 573.333 * * [simplify]: iters left: 3 (22 enodes) 573.338 * * [simplify]: iters left: 2 (30 enodes) 573.342 * * [simplify]: iters left: 1 (35 enodes) 573.346 * * [simplify]: Extracting #0: cost 1 inf + 0 573.346 * * [simplify]: Extracting #1: cost 8 inf + 0 573.346 * * [simplify]: Extracting #2: cost 10 inf + 44 573.346 * * [simplify]: Extracting #3: cost 8 inf + 87 573.346 * * [simplify]: Extracting #4: cost 5 inf + 333 573.347 * * [simplify]: Extracting #5: cost 0 inf + 743 573.347 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 573.347 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.347 * * * * [progress]: [ 199 / 234 ] simplifiying candidate # 573.348 * [simplify]: Simplifying (* n (* 2 PI)) 573.348 * * [simplify]: iters left: 4 (5 enodes) 573.351 * * [simplify]: iters left: 3 (19 enodes) 573.356 * * [simplify]: iters left: 2 (27 enodes) 573.361 * * [simplify]: iters left: 1 (32 enodes) 573.365 * * [simplify]: Extracting #0: cost 1 inf + 0 573.365 * * [simplify]: Extracting #1: cost 8 inf + 0 573.365 * * [simplify]: Extracting #2: cost 7 inf + 45 573.365 * * [simplify]: Extracting #3: cost 0 inf + 421 573.365 * [simplify]: Simplified to (* (* PI 2) n) 573.365 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 1 (* (* PI 2) n)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.365 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> 573.366 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 573.366 * * [simplify]: iters left: 5 (6 enodes) 573.367 * * [simplify]: iters left: 4 (19 enodes) 573.370 * * [simplify]: iters left: 3 (27 enodes) 573.376 * * [simplify]: iters left: 2 (32 enodes) 573.383 * * [simplify]: Extracting #0: cost 1 inf + 0 573.383 * * [simplify]: Extracting #1: cost 2 inf + 0 573.383 * * [simplify]: Extracting #2: cost 8 inf + 0 573.383 * * [simplify]: Extracting #3: cost 7 inf + 45 573.383 * * [simplify]: Extracting #4: cost 1 inf + 379 573.383 * * [simplify]: Extracting #5: cost 0 inf + 421 573.384 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 573.384 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.384 * * * * [progress]: [ 201 / 234 ] simplifiying candidate # 573.384 * * * * [progress]: [ 202 / 234 ] simplifiying candidate # 573.384 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 573.384 * * [simplify]: iters left: 5 (6 enodes) 573.386 * * [simplify]: iters left: 4 (22 enodes) 573.392 * * [simplify]: iters left: 3 (30 enodes) 573.400 * * [simplify]: iters left: 2 (35 enodes) 573.408 * * [simplify]: Extracting #0: cost 1 inf + 0 573.408 * * [simplify]: Extracting #1: cost 3 inf + 0 573.408 * * [simplify]: Extracting #2: cost 10 inf + 0 573.408 * * [simplify]: Extracting #3: cost 10 inf + 3 573.408 * * [simplify]: Extracting #4: cost 6 inf + 171 573.408 * * [simplify]: Extracting #5: cost 1 inf + 574 573.409 * * [simplify]: Extracting #6: cost 0 inf + 727 573.409 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 573.409 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (log1p (expm1 (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.409 * * * * [progress]: [ 203 / 234 ] simplifiying candidate # 573.410 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 573.410 * * [simplify]: iters left: 5 (6 enodes) 573.413 * * [simplify]: iters left: 4 (22 enodes) 573.419 * * [simplify]: iters left: 3 (30 enodes) 573.427 * * [simplify]: iters left: 2 (35 enodes) 573.434 * * [simplify]: Extracting #0: cost 1 inf + 0 573.434 * * [simplify]: Extracting #1: cost 3 inf + 0 573.434 * * [simplify]: Extracting #2: cost 10 inf + 0 573.434 * * [simplify]: Extracting #3: cost 10 inf + 3 573.434 * * [simplify]: Extracting #4: cost 6 inf + 171 573.434 * * [simplify]: Extracting #5: cost 1 inf + 594 573.435 * * [simplify]: Extracting #6: cost 0 inf + 767 573.435 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 573.435 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (expm1 (log1p (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.435 * * * * [progress]: [ 204 / 234 ] simplifiying candidate # 573.435 * [simplify]: Simplifying (* n (* 2 PI)) 573.436 * * [simplify]: iters left: 4 (5 enodes) 573.438 * * [simplify]: iters left: 3 (19 enodes) 573.442 * * [simplify]: iters left: 2 (27 enodes) 573.450 * * [simplify]: iters left: 1 (32 enodes) 573.457 * * [simplify]: Extracting #0: cost 1 inf + 0 573.457 * * [simplify]: Extracting #1: cost 8 inf + 0 573.457 * * [simplify]: Extracting #2: cost 7 inf + 45 573.457 * * [simplify]: Extracting #3: cost 0 inf + 421 573.457 * [simplify]: Simplified to (* (* PI 2) n) 573.458 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.458 * * * * [progress]: [ 205 / 234 ] simplifiying candidate # 573.458 * [simplify]: Simplifying (* n (* 2 PI)) 573.458 * * [simplify]: iters left: 4 (5 enodes) 573.461 * * [simplify]: iters left: 3 (19 enodes) 573.466 * * [simplify]: iters left: 2 (27 enodes) 573.470 * * [simplify]: iters left: 1 (32 enodes) 573.474 * * [simplify]: Extracting #0: cost 1 inf + 0 573.474 * * [simplify]: Extracting #1: cost 8 inf + 0 573.474 * * [simplify]: Extracting #2: cost 7 inf + 45 573.474 * * [simplify]: Extracting #3: cost 0 inf + 421 573.474 * [simplify]: Simplified to (* (* PI 2) n) 573.474 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.474 * * * * [progress]: [ 206 / 234 ] simplifiying candidate # 573.474 * * * * [progress]: [ 207 / 234 ] simplifiying candidate # 573.474 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 573.475 * * [simplify]: iters left: 5 (8 enodes) 573.478 * * [simplify]: iters left: 4 (28 enodes) 573.485 * * [simplify]: iters left: 3 (36 enodes) 573.494 * * [simplify]: iters left: 2 (42 enodes) 573.504 * * [simplify]: Extracting #0: cost 1 inf + 0 573.504 * * [simplify]: Extracting #1: cost 8 inf + 0 573.504 * * [simplify]: Extracting #2: cost 17 inf + 0 573.504 * * [simplify]: Extracting #3: cost 12 inf + 145 573.504 * * [simplify]: Extracting #4: cost 5 inf + 1197 573.505 * * [simplify]: Extracting #5: cost 1 inf + 1925 573.505 * * [simplify]: Extracting #6: cost 0 inf + 2107 573.506 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 573.506 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.506 * * * * [progress]: [ 208 / 234 ] simplifiying candidate # 573.506 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 573.506 * * [simplify]: iters left: 5 (7 enodes) 573.510 * * [simplify]: iters left: 4 (26 enodes) 573.516 * * [simplify]: iters left: 3 (35 enodes) 573.525 * * [simplify]: iters left: 2 (44 enodes) 573.534 * * [simplify]: Extracting #0: cost 1 inf + 0 573.534 * * [simplify]: Extracting #1: cost 8 inf + 0 573.534 * * [simplify]: Extracting #2: cost 18 inf + 0 573.535 * * [simplify]: Extracting #3: cost 15 inf + 74 573.535 * * [simplify]: Extracting #4: cost 8 inf + 554 573.535 * * [simplify]: Extracting #5: cost 0 inf + 1911 573.536 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 573.536 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.536 * * * * [progress]: [ 209 / 234 ] simplifiying candidate # 573.536 * [simplify]: Simplifying (log (* n (* 2 PI))) 573.536 * * [simplify]: iters left: 5 (6 enodes) 573.539 * * [simplify]: iters left: 4 (25 enodes) 573.543 * * [simplify]: iters left: 3 (44 enodes) 573.549 * * [simplify]: iters left: 2 (62 enodes) 573.565 * * [simplify]: iters left: 1 (70 enodes) 573.579 * * [simplify]: Extracting #0: cost 1 inf + 0 573.579 * * [simplify]: Extracting #1: cost 9 inf + 0 573.579 * * [simplify]: Extracting #2: cost 22 inf + 0 573.579 * * [simplify]: Extracting #3: cost 19 inf + 228 573.579 * * [simplify]: Extracting #4: cost 6 inf + 1211 573.580 * * [simplify]: Extracting #5: cost 1 inf + 1713 573.581 * * [simplify]: Extracting #6: cost 0 inf + 1825 573.581 * [simplify]: Simplified to (log (* (* PI 2) n)) 573.581 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (log (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.582 * * * * [progress]: [ 210 / 234 ] simplifiying candidate # 573.582 * [simplify]: Simplifying (exp (* n (* 2 PI))) 573.582 * * [simplify]: iters left: 5 (6 enodes) 573.585 * * [simplify]: iters left: 4 (24 enodes) 573.591 * * [simplify]: iters left: 3 (41 enodes) 573.603 * * [simplify]: iters left: 2 (77 enodes) 573.621 * * [simplify]: iters left: 1 (133 enodes) 573.644 * * [simplify]: Extracting #0: cost 1 inf + 0 573.644 * * [simplify]: Extracting #1: cost 35 inf + 0 573.645 * * [simplify]: Extracting #2: cost 76 inf + 902 573.646 * * [simplify]: Extracting #3: cost 70 inf + 5334 573.648 * * [simplify]: Extracting #4: cost 21 inf + 16365 573.650 * * [simplify]: Extracting #5: cost 2 inf + 21849 573.652 * * [simplify]: Extracting #6: cost 0 inf + 22004 573.656 * [simplify]: Simplified to (exp (* n (+ PI PI))) 573.656 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (log (exp (* n (+ PI PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.656 * * * * [progress]: [ 211 / 234 ] simplifiying candidate # 573.657 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 573.657 * * [simplify]: iters left: 6 (11 enodes) 573.661 * * [simplify]: iters left: 5 (48 enodes) 573.677 * * [simplify]: iters left: 4 (121 enodes) 573.723 * * [simplify]: iters left: 3 (348 enodes) 573.904 * * [simplify]: Extracting #0: cost 1 inf + 0 573.904 * * [simplify]: Extracting #1: cost 67 inf + 0 573.905 * * [simplify]: Extracting #2: cost 165 inf + 786 573.907 * * [simplify]: Extracting #3: cost 81 inf + 10746 573.914 * * [simplify]: Extracting #4: cost 9 inf + 26018 573.921 * * [simplify]: Extracting #5: cost 0 inf + 28546 573.932 * * [simplify]: Extracting #6: cost 0 inf + 28506 573.942 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 573.943 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 573.943 * * * * [progress]: [ 212 / 234 ] simplifiying candidate # 573.943 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 573.943 * * [simplify]: iters left: 6 (9 enodes) 573.948 * * [simplify]: iters left: 5 (45 enodes) 573.965 * * [simplify]: iters left: 4 (117 enodes) 574.016 * * [simplify]: iters left: 3 (377 enodes) 574.258 * * [simplify]: Extracting #0: cost 1 inf + 0 574.259 * * [simplify]: Extracting #1: cost 79 inf + 0 574.260 * * [simplify]: Extracting #2: cost 191 inf + 659 574.266 * * [simplify]: Extracting #3: cost 100 inf + 13238 574.281 * * [simplify]: Extracting #4: cost 6 inf + 31685 574.291 * * [simplify]: Extracting #5: cost 0 inf + 32539 574.300 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 574.300 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.300 * * * * [progress]: [ 213 / 234 ] simplifiying candidate # 574.300 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 574.300 * * [simplify]: iters left: 6 (7 enodes) 574.302 * * [simplify]: iters left: 5 (25 enodes) 574.306 * * [simplify]: iters left: 4 (33 enodes) 574.311 * * [simplify]: iters left: 3 (39 enodes) 574.316 * * [simplify]: Extracting #0: cost 1 inf + 0 574.316 * * [simplify]: Extracting #1: cost 3 inf + 0 574.316 * * [simplify]: Extracting #2: cost 5 inf + 0 574.316 * * [simplify]: Extracting #3: cost 12 inf + 0 574.316 * * [simplify]: Extracting #4: cost 11 inf + 45 574.316 * * [simplify]: Extracting #5: cost 5 inf + 500 574.316 * * [simplify]: Extracting #6: cost 1 inf + 950 574.317 * * [simplify]: Extracting #7: cost 0 inf + 1153 574.317 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 574.317 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.317 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 574.317 * * [simplify]: iters left: 5 (6 enodes) 574.319 * * [simplify]: iters left: 4 (22 enodes) 574.322 * * [simplify]: iters left: 3 (30 enodes) 574.326 * * [simplify]: iters left: 2 (35 enodes) 574.331 * * [simplify]: Extracting #0: cost 1 inf + 0 574.331 * * [simplify]: Extracting #1: cost 3 inf + 0 574.331 * * [simplify]: Extracting #2: cost 10 inf + 0 574.331 * * [simplify]: Extracting #3: cost 10 inf + 3 574.331 * * [simplify]: Extracting #4: cost 6 inf + 171 574.331 * * [simplify]: Extracting #5: cost 1 inf + 584 574.331 * * [simplify]: Extracting #6: cost 0 inf + 747 574.331 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 574.331 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.331 * * * * [progress]: [ 214 / 234 ] simplifiying candidate # 574.332 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 574.332 * * [simplify]: iters left: 6 (7 enodes) 574.334 * * [simplify]: iters left: 5 (35 enodes) 574.342 * * [simplify]: iters left: 4 (120 enodes) 574.383 * * [simplify]: iters left: 3 (434 enodes) 574.782 * * [simplify]: Extracting #0: cost 1 inf + 0 574.782 * * [simplify]: Extracting #1: cost 75 inf + 0 574.783 * * [simplify]: Extracting #2: cost 190 inf + 661 574.788 * * [simplify]: Extracting #3: cost 73 inf + 17047 574.797 * * [simplify]: Extracting #4: cost 3 inf + 27583 574.811 * * [simplify]: Extracting #5: cost 0 inf + 27781 574.822 * * [simplify]: Extracting #6: cost 0 inf + 27740 574.835 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) 574.835 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.835 * * * * [progress]: [ 215 / 234 ] simplifiying candidate # 574.836 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 574.836 * * [simplify]: iters left: 5 (6 enodes) 574.838 * * [simplify]: iters left: 4 (22 enodes) 574.841 * * [simplify]: iters left: 3 (30 enodes) 574.845 * * [simplify]: iters left: 2 (35 enodes) 574.853 * * [simplify]: Extracting #0: cost 1 inf + 0 574.853 * * [simplify]: Extracting #1: cost 3 inf + 0 574.853 * * [simplify]: Extracting #2: cost 10 inf + 0 574.853 * * [simplify]: Extracting #3: cost 10 inf + 3 574.854 * * [simplify]: Extracting #4: cost 6 inf + 171 574.854 * * [simplify]: Extracting #5: cost 1 inf + 544 574.854 * * [simplify]: Extracting #6: cost 0 inf + 667 574.855 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 574.855 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.855 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 574.855 * * [simplify]: iters left: 5 (6 enodes) 574.858 * * [simplify]: iters left: 4 (22 enodes) 574.865 * * [simplify]: iters left: 3 (30 enodes) 574.874 * * [simplify]: iters left: 2 (35 enodes) 574.883 * * [simplify]: Extracting #0: cost 1 inf + 0 574.883 * * [simplify]: Extracting #1: cost 3 inf + 0 574.883 * * [simplify]: Extracting #2: cost 10 inf + 0 574.883 * * [simplify]: Extracting #3: cost 10 inf + 3 574.883 * * [simplify]: Extracting #4: cost 6 inf + 171 574.883 * * [simplify]: Extracting #5: cost 1 inf + 544 574.883 * * [simplify]: Extracting #6: cost 0 inf + 667 574.884 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 574.884 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.884 * * * * [progress]: [ 216 / 234 ] simplifiying candidate # 574.884 * * * * [progress]: [ 217 / 234 ] simplifiying candidate # 574.884 * [simplify]: Simplifying (* n 2) 574.884 * * [simplify]: iters left: 2 (3 enodes) 574.885 * * [simplify]: iters left: 1 (10 enodes) 574.887 * * [simplify]: Extracting #0: cost 1 inf + 0 574.887 * * [simplify]: Extracting #1: cost 4 inf + 0 574.887 * * [simplify]: Extracting #2: cost 2 inf + 2 574.887 * * [simplify]: Extracting #3: cost 0 inf + 86 574.887 * [simplify]: Simplified to (* n 2) 574.887 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.887 * * * * [progress]: [ 218 / 234 ] simplifiying candidate # 574.887 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 574.887 * * [simplify]: iters left: 4 (6 enodes) 574.889 * * [simplify]: iters left: 3 (22 enodes) 574.892 * * [simplify]: iters left: 2 (30 enodes) 574.896 * * [simplify]: iters left: 1 (35 enodes) 574.901 * * [simplify]: Extracting #0: cost 1 inf + 0 574.901 * * [simplify]: Extracting #1: cost 8 inf + 0 574.901 * * [simplify]: Extracting #2: cost 10 inf + 44 574.901 * * [simplify]: Extracting #3: cost 8 inf + 87 574.901 * * [simplify]: Extracting #4: cost 5 inf + 453 574.901 * * [simplify]: Extracting #5: cost 0 inf + 1063 574.901 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 574.902 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.902 * * * * [progress]: [ 219 / 234 ] simplifiying candidate # 574.902 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 574.902 * * [simplify]: iters left: 4 (6 enodes) 574.904 * * [simplify]: iters left: 3 (22 enodes) 574.907 * * [simplify]: iters left: 2 (30 enodes) 574.912 * * [simplify]: iters left: 1 (35 enodes) 574.921 * * [simplify]: Extracting #0: cost 1 inf + 0 574.921 * * [simplify]: Extracting #1: cost 8 inf + 0 574.921 * * [simplify]: Extracting #2: cost 10 inf + 44 574.921 * * [simplify]: Extracting #3: cost 8 inf + 87 574.922 * * [simplify]: Extracting #4: cost 5 inf + 333 574.922 * * [simplify]: Extracting #5: cost 0 inf + 743 574.922 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 574.922 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.923 * * * * [progress]: [ 220 / 234 ] simplifiying candidate # 574.923 * [simplify]: Simplifying (* n (* 2 PI)) 574.923 * * [simplify]: iters left: 4 (5 enodes) 574.926 * * [simplify]: iters left: 3 (19 enodes) 574.931 * * [simplify]: iters left: 2 (27 enodes) 574.940 * * [simplify]: iters left: 1 (32 enodes) 574.949 * * [simplify]: Extracting #0: cost 1 inf + 0 574.950 * * [simplify]: Extracting #1: cost 8 inf + 0 574.950 * * [simplify]: Extracting #2: cost 7 inf + 45 574.950 * * [simplify]: Extracting #3: cost 0 inf + 421 574.950 * [simplify]: Simplified to (* (* PI 2) n) 574.950 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* 1 (* (* PI 2) n)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.951 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> 574.951 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 574.951 * * [simplify]: iters left: 5 (6 enodes) 574.954 * * [simplify]: iters left: 4 (19 enodes) 574.960 * * [simplify]: iters left: 3 (27 enodes) 574.968 * * [simplify]: iters left: 2 (32 enodes) 574.976 * * [simplify]: Extracting #0: cost 1 inf + 0 574.976 * * [simplify]: Extracting #1: cost 2 inf + 0 574.976 * * [simplify]: Extracting #2: cost 8 inf + 0 574.976 * * [simplify]: Extracting #3: cost 7 inf + 45 574.976 * * [simplify]: Extracting #4: cost 1 inf + 379 574.977 * * [simplify]: Extracting #5: cost 0 inf + 421 574.977 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 574.977 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 574.977 * * * * [progress]: [ 222 / 234 ] simplifiying candidate # 574.977 * * * * [progress]: [ 223 / 234 ] simplifiying candidate # 574.978 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 574.978 * * [simplify]: iters left: 6 (37 enodes) 574.992 * * [simplify]: iters left: 5 (193 enodes) 575.052 * * [simplify]: Extracting #0: cost 1 inf + 0 575.052 * * [simplify]: Extracting #1: cost 22 inf + 0 575.052 * * [simplify]: Extracting #2: cost 104 inf + 1 575.056 * * [simplify]: Extracting #3: cost 170 inf + 88 575.058 * * [simplify]: Extracting #4: cost 195 inf + 509 575.062 * * [simplify]: Extracting #5: cost 136 inf + 15293 575.077 * * [simplify]: Extracting #6: cost 47 inf + 48666 575.106 * * [simplify]: Extracting #7: cost 3 inf + 79281 575.139 * * [simplify]: Extracting #8: cost 0 inf + 80934 575.171 * * [simplify]: Extracting #9: cost 0 inf + 80864 575.205 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 575.205 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (sqrt k)))) 575.205 * * * * [progress]: [ 224 / 234 ] simplifiying candidate # 575.206 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 575.206 * * [simplify]: iters left: 6 (15 enodes) 575.215 * * [simplify]: iters left: 5 (65 enodes) 575.240 * * [simplify]: iters left: 4 (123 enodes) 575.267 * * [simplify]: iters left: 3 (367 enodes) 575.404 * * [simplify]: Extracting #0: cost 1 inf + 0 575.404 * * [simplify]: Extracting #1: cost 37 inf + 0 575.405 * * [simplify]: Extracting #2: cost 213 inf + 72 575.406 * * [simplify]: Extracting #3: cost 356 inf + 1241 575.411 * * [simplify]: Extracting #4: cost 215 inf + 29319 575.431 * * [simplify]: Extracting #5: cost 27 inf + 82475 575.458 * * [simplify]: Extracting #6: cost 0 inf + 89471 575.474 * * [simplify]: Extracting #7: cost 0 inf + 89256 575.490 * * [simplify]: Extracting #8: cost 0 inf + 89254 575.506 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 575.507 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (sqrt k)))) 575.507 * * * * [progress]: [ 225 / 234 ] simplifiying candidate # 575.507 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 575.507 * * [simplify]: iters left: 6 (16 enodes) 575.512 * * [simplify]: iters left: 5 (67 enodes) 575.524 * * [simplify]: iters left: 4 (134 enodes) 575.569 * * [simplify]: iters left: 3 (412 enodes) 575.774 * * [simplify]: Extracting #0: cost 1 inf + 0 575.774 * * [simplify]: Extracting #1: cost 39 inf + 0 575.775 * * [simplify]: Extracting #2: cost 241 inf + 72 575.778 * * [simplify]: Extracting #3: cost 447 inf + 1392 575.785 * * [simplify]: Extracting #4: cost 309 inf + 31579 575.806 * * [simplify]: Extracting #5: cost 42 inf + 109193 575.847 * * [simplify]: Extracting #6: cost 0 inf + 122155 575.879 * * [simplify]: Extracting #7: cost 0 inf + 121985 575.903 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 575.903 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))) 575.903 * * * * [progress]: [ 226 / 234 ] simplifiying candidate # 575.904 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 575.904 * * [simplify]: iters left: 6 (37 enodes) 575.916 * * [simplify]: iters left: 5 (193 enodes) 575.962 * * [simplify]: Extracting #0: cost 1 inf + 0 575.962 * * [simplify]: Extracting #1: cost 22 inf + 0 575.962 * * [simplify]: Extracting #2: cost 104 inf + 1 575.963 * * [simplify]: Extracting #3: cost 170 inf + 88 575.965 * * [simplify]: Extracting #4: cost 195 inf + 509 575.973 * * [simplify]: Extracting #5: cost 136 inf + 15293 575.988 * * [simplify]: Extracting #6: cost 47 inf + 48666 576.019 * * [simplify]: Extracting #7: cost 3 inf + 79281 576.052 * * [simplify]: Extracting #8: cost 0 inf + 80934 576.084 * * [simplify]: Extracting #9: cost 0 inf + 80864 576.101 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 576.101 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.101 * * * * [progress]: [ 227 / 234 ] simplifiying candidate # 576.101 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 576.101 * * [simplify]: iters left: 6 (15 enodes) 576.106 * * [simplify]: iters left: 5 (65 enodes) 576.118 * * [simplify]: iters left: 4 (123 enodes) 576.148 * * [simplify]: iters left: 3 (367 enodes) 576.327 * * [simplify]: Extracting #0: cost 1 inf + 0 576.327 * * [simplify]: Extracting #1: cost 37 inf + 0 576.327 * * [simplify]: Extracting #2: cost 213 inf + 72 576.329 * * [simplify]: Extracting #3: cost 356 inf + 1241 576.333 * * [simplify]: Extracting #4: cost 215 inf + 29319 576.353 * * [simplify]: Extracting #5: cost 27 inf + 82475 576.379 * * [simplify]: Extracting #6: cost 0 inf + 89471 576.399 * * [simplify]: Extracting #7: cost 0 inf + 89256 576.417 * * [simplify]: Extracting #8: cost 0 inf + 89254 576.449 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 576.449 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.450 * * * * [progress]: [ 228 / 234 ] simplifiying candidate # 576.450 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 576.450 * * [simplify]: iters left: 6 (16 enodes) 576.459 * * [simplify]: iters left: 5 (67 enodes) 576.473 * * [simplify]: iters left: 4 (134 enodes) 576.508 * * [simplify]: iters left: 3 (412 enodes) 576.706 * * [simplify]: Extracting #0: cost 1 inf + 0 576.707 * * [simplify]: Extracting #1: cost 39 inf + 0 576.708 * * [simplify]: Extracting #2: cost 241 inf + 72 576.711 * * [simplify]: Extracting #3: cost 447 inf + 1392 576.722 * * [simplify]: Extracting #4: cost 309 inf + 31579 576.757 * * [simplify]: Extracting #5: cost 42 inf + 109193 576.780 * * [simplify]: Extracting #6: cost 0 inf + 122155 576.823 * * [simplify]: Extracting #7: cost 0 inf + 121985 576.869 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 576.869 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.869 * * * * [progress]: [ 229 / 234 ] simplifiying candidate # 576.870 * [simplify]: Simplifying (* 2 (* n PI)) 576.870 * * [simplify]: iters left: 4 (5 enodes) 576.873 * * [simplify]: iters left: 3 (19 enodes) 576.879 * * [simplify]: iters left: 2 (27 enodes) 576.888 * * [simplify]: iters left: 1 (32 enodes) 576.897 * * [simplify]: Extracting #0: cost 1 inf + 0 576.897 * * [simplify]: Extracting #1: cost 8 inf + 0 576.897 * * [simplify]: Extracting #2: cost 7 inf + 45 576.897 * * [simplify]: Extracting #3: cost 0 inf + 421 576.898 * [simplify]: Simplified to (* (* PI n) 2) 576.898 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.898 * * * * [progress]: [ 230 / 234 ] simplifiying candidate # 576.898 * [simplify]: Simplifying (* 2 (* n PI)) 576.898 * * [simplify]: iters left: 4 (5 enodes) 576.901 * * [simplify]: iters left: 3 (19 enodes) 576.907 * * [simplify]: iters left: 2 (27 enodes) 576.916 * * [simplify]: iters left: 1 (32 enodes) 576.924 * * [simplify]: Extracting #0: cost 1 inf + 0 576.924 * * [simplify]: Extracting #1: cost 8 inf + 0 576.924 * * [simplify]: Extracting #2: cost 7 inf + 45 576.925 * * [simplify]: Extracting #3: cost 0 inf + 421 576.925 * [simplify]: Simplified to (* (* PI n) 2) 576.925 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.925 * * * * [progress]: [ 231 / 234 ] simplifiying candidate # 576.926 * [simplify]: Simplifying (* 2 (* n PI)) 576.926 * * [simplify]: iters left: 4 (5 enodes) 576.928 * * [simplify]: iters left: 3 (19 enodes) 576.934 * * [simplify]: iters left: 2 (27 enodes) 576.942 * * [simplify]: iters left: 1 (32 enodes) 576.951 * * [simplify]: Extracting #0: cost 1 inf + 0 576.951 * * [simplify]: Extracting #1: cost 8 inf + 0 576.951 * * [simplify]: Extracting #2: cost 7 inf + 45 576.951 * * [simplify]: Extracting #3: cost 0 inf + 421 576.952 * [simplify]: Simplified to (* (* PI n) 2) 576.952 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.952 * * * * [progress]: [ 232 / 234 ] simplifiying candidate # 576.952 * [simplify]: Simplifying (* 2 (* n PI)) 576.952 * * [simplify]: iters left: 4 (5 enodes) 576.955 * * [simplify]: iters left: 3 (19 enodes) 576.961 * * [simplify]: iters left: 2 (27 enodes) 576.965 * * [simplify]: iters left: 1 (32 enodes) 576.970 * * [simplify]: Extracting #0: cost 1 inf + 0 576.970 * * [simplify]: Extracting #1: cost 8 inf + 0 576.970 * * [simplify]: Extracting #2: cost 7 inf + 45 576.970 * * [simplify]: Extracting #3: cost 0 inf + 421 576.970 * [simplify]: Simplified to (* (* PI n) 2) 576.970 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.970 * * * * [progress]: [ 233 / 234 ] simplifiying candidate # 576.970 * [simplify]: Simplifying (* 2 (* n PI)) 576.970 * * [simplify]: iters left: 4 (5 enodes) 576.972 * * [simplify]: iters left: 3 (19 enodes) 576.975 * * [simplify]: iters left: 2 (27 enodes) 576.979 * * [simplify]: iters left: 1 (32 enodes) 576.983 * * [simplify]: Extracting #0: cost 1 inf + 0 576.983 * * [simplify]: Extracting #1: cost 8 inf + 0 576.983 * * [simplify]: Extracting #2: cost 7 inf + 45 576.983 * * [simplify]: Extracting #3: cost 0 inf + 421 576.983 * [simplify]: Simplified to (* (* PI n) 2) 576.983 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 576.983 * * * * [progress]: [ 234 / 234 ] simplifiying candidate # 576.984 * [simplify]: Simplifying (* 2 (* n PI)) 576.984 * * [simplify]: iters left: 4 (5 enodes) 576.986 * * [simplify]: iters left: 3 (19 enodes) 576.989 * * [simplify]: iters left: 2 (27 enodes) 576.997 * * [simplify]: iters left: 1 (32 enodes) 577.005 * * [simplify]: Extracting #0: cost 1 inf + 0 577.005 * * [simplify]: Extracting #1: cost 8 inf + 0 577.005 * * [simplify]: Extracting #2: cost 7 inf + 45 577.006 * * [simplify]: Extracting #3: cost 0 inf + 421 577.006 * [simplify]: Simplified to (* (* PI n) 2) 577.006 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 577.006 * * * [progress]: adding candidates to table 580.158 * [progress]: [Phase 3 of 3] Extracting. 580.158 * * [regime]: Finding splitpoints for: (# # # # # #) 580.160 * * * [regime-changes]: Trying 2 branch expressions: (n k) 580.160 * * * * [regimes]: Trying to branch on n from (# # # # # #) 580.244 * * * * [regimes]: Trying to branch on k from (# # # # # #) 580.290 * * * [regime]: Found split indices: #