0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.194 * * * [progress]: [2/2] Setting up program. 0.198 * [progress]: [Phase 2 of 3] Improving. 0.198 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.198 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.199 * * [simplify]: iters left: 6 (13 enodes) 0.203 * * [simplify]: iters left: 5 (57 enodes) 0.214 * * [simplify]: iters left: 4 (96 enodes) 0.232 * * [simplify]: iters left: 3 (172 enodes) 0.289 * * [simplify]: iters left: 2 (338 enodes) 0.450 * * [simplify]: Extracting #0: cost 1 inf + 0 0.450 * * [simplify]: Extracting #1: cost 41 inf + 0 0.451 * * [simplify]: Extracting #2: cost 120 inf + 1 0.452 * * [simplify]: Extracting #3: cost 166 inf + 127 0.454 * * [simplify]: Extracting #4: cost 163 inf + 676 0.457 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.466 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.486 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.502 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.518 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.519 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.532 * * [progress]: iteration 1 / 4 0.532 * * * [progress]: picking best candidate 0.543 * * * * [pick]: Picked # 0.543 * * * [progress]: localizing error 0.588 * * * [progress]: generating rewritten candidates 0.588 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.615 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.637 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.649 * * * [progress]: generating series expansions 0.649 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.650 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.650 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.650 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.650 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.650 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.650 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.650 * [taylor]: Taking taylor expansion of 1/2 in k 0.650 * [backup-simplify]: Simplify 1/2 into 1/2 0.650 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.650 * [taylor]: Taking taylor expansion of 1 in k 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of k in k 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.650 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.650 * [taylor]: Taking taylor expansion of 2 in k 0.650 * [backup-simplify]: Simplify 2 into 2 0.650 * [taylor]: Taking taylor expansion of (* n PI) in k 0.650 * [taylor]: Taking taylor expansion of n in k 0.650 * [backup-simplify]: Simplify n into n 0.650 * [taylor]: Taking taylor expansion of PI in k 0.650 * [backup-simplify]: Simplify PI into PI 0.650 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.650 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.650 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify (+ 1 0) into 1 0.651 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.651 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.652 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.652 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.652 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.652 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.652 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.652 * [taylor]: Taking taylor expansion of 1/2 in n 0.652 * [backup-simplify]: Simplify 1/2 into 1/2 0.652 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.652 * [taylor]: Taking taylor expansion of 1 in n 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [backup-simplify]: Simplify k into k 0.652 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.652 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.652 * [taylor]: Taking taylor expansion of 2 in n 0.652 * [backup-simplify]: Simplify 2 into 2 0.652 * [taylor]: Taking taylor expansion of (* n PI) in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [taylor]: Taking taylor expansion of PI in n 0.652 * [backup-simplify]: Simplify PI into PI 0.652 * [backup-simplify]: Simplify (* 0 PI) into 0 0.653 * [backup-simplify]: Simplify (* 2 0) into 0 0.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.654 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.655 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.655 * [backup-simplify]: Simplify (- k) into (- k) 0.655 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.655 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.657 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.657 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.657 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.657 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.657 * [taylor]: Taking taylor expansion of 1/2 in n 0.657 * [backup-simplify]: Simplify 1/2 into 1/2 0.657 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.658 * [taylor]: Taking taylor expansion of 1 in n 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of k in n 0.658 * [backup-simplify]: Simplify k into k 0.658 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.658 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.658 * [taylor]: Taking taylor expansion of 2 in n 0.658 * [backup-simplify]: Simplify 2 into 2 0.658 * [taylor]: Taking taylor expansion of (* n PI) in n 0.658 * [taylor]: Taking taylor expansion of n in n 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of PI in n 0.658 * [backup-simplify]: Simplify PI into PI 0.658 * [backup-simplify]: Simplify (* 0 PI) into 0 0.658 * [backup-simplify]: Simplify (* 2 0) into 0 0.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.660 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.661 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.661 * [backup-simplify]: Simplify (- k) into (- k) 0.661 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.661 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.664 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.665 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.665 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.665 * [taylor]: Taking taylor expansion of 1/2 in k 0.665 * [backup-simplify]: Simplify 1/2 into 1/2 0.665 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.665 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.665 * [taylor]: Taking taylor expansion of 1 in k 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of k in k 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.665 * [taylor]: Taking taylor expansion of (log n) in k 0.665 * [taylor]: Taking taylor expansion of n in k 0.665 * [backup-simplify]: Simplify n into n 0.665 * [backup-simplify]: Simplify (log n) into (log n) 0.665 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.665 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.665 * [taylor]: Taking taylor expansion of 2 in k 0.665 * [backup-simplify]: Simplify 2 into 2 0.665 * [taylor]: Taking taylor expansion of PI in k 0.665 * [backup-simplify]: Simplify PI into PI 0.666 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.667 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.667 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 1 0) into 1 0.669 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.670 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.671 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.672 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.673 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.678 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.679 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.680 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.680 * [taylor]: Taking taylor expansion of 0 in k 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.681 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (- 1) into -1 0.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.685 * [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))))) 0.687 * [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))))))) 0.688 * [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))))))) 0.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.692 * [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 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.695 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.696 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.696 * [taylor]: Taking taylor expansion of 0 in k 0.696 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.700 * [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 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.706 * [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))))) 0.718 * [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))))) 0.728 * [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))))) 0.728 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.728 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.728 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.729 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.729 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.729 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.729 * [taylor]: Taking taylor expansion of 1/2 in k 0.729 * [backup-simplify]: Simplify 1/2 into 1/2 0.729 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.729 * [taylor]: Taking taylor expansion of 1 in k 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.729 * [taylor]: Taking taylor expansion of k in k 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.729 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.729 * [taylor]: Taking taylor expansion of 2 in k 0.729 * [backup-simplify]: Simplify 2 into 2 0.729 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.729 * [taylor]: Taking taylor expansion of PI in k 0.729 * [backup-simplify]: Simplify PI into PI 0.729 * [taylor]: Taking taylor expansion of n in k 0.729 * [backup-simplify]: Simplify n into n 0.729 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.730 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.730 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.730 * [backup-simplify]: Simplify (- 1) into -1 0.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.731 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.731 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.731 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.731 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.731 * [taylor]: Taking taylor expansion of 1/2 in n 0.731 * [backup-simplify]: Simplify 1/2 into 1/2 0.731 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.731 * [taylor]: Taking taylor expansion of 1 in n 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.731 * [taylor]: Taking taylor expansion of k in n 0.732 * [backup-simplify]: Simplify k into k 0.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.732 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.732 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.732 * [taylor]: Taking taylor expansion of 2 in n 0.732 * [backup-simplify]: Simplify 2 into 2 0.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [backup-simplify]: Simplify PI into PI 0.732 * [taylor]: Taking taylor expansion of n in n 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ PI 1) into PI 0.733 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.734 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.734 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.734 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.734 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.737 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.738 * [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))))) 0.738 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.738 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.738 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.738 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.738 * [taylor]: Taking taylor expansion of 1/2 in n 0.738 * [backup-simplify]: Simplify 1/2 into 1/2 0.738 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.738 * [taylor]: Taking taylor expansion of 1 in n 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.738 * [taylor]: Taking taylor expansion of k in n 0.738 * [backup-simplify]: Simplify k into k 0.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.738 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.738 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.738 * [taylor]: Taking taylor expansion of 2 in n 0.738 * [backup-simplify]: Simplify 2 into 2 0.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.738 * [taylor]: Taking taylor expansion of PI in n 0.738 * [backup-simplify]: Simplify PI into PI 0.738 * [taylor]: Taking taylor expansion of n in n 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ PI 1) into PI 0.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.740 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.740 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.740 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.740 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.743 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.744 * [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))))) 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.744 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.744 * [taylor]: Taking taylor expansion of 1/2 in k 0.744 * [backup-simplify]: Simplify 1/2 into 1/2 0.744 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.744 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.744 * [taylor]: Taking taylor expansion of 1 in k 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.744 * [taylor]: Taking taylor expansion of k in k 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ 1 1) into 1 0.745 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.745 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.745 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.745 * [taylor]: Taking taylor expansion of 2 in k 0.745 * [backup-simplify]: Simplify 2 into 2 0.745 * [taylor]: Taking taylor expansion of PI in k 0.745 * [backup-simplify]: Simplify PI into PI 0.745 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.746 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.746 * [taylor]: Taking taylor expansion of (log n) in k 0.746 * [taylor]: Taking taylor expansion of n in k 0.747 * [backup-simplify]: Simplify n into n 0.747 * [backup-simplify]: Simplify (log n) into (log n) 0.747 * [backup-simplify]: Simplify (- 1) into -1 0.747 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.747 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.748 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.749 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.750 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.752 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.753 * [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))))) 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 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))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.762 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.762 * [taylor]: Taking taylor expansion of 0 in k 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.768 * [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 0.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.773 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.775 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.775 * [taylor]: Taking taylor expansion of 0 in k 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.783 * [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 0.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.787 * [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 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 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 0.793 * [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)))))) 0.793 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.793 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.793 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.793 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.794 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.794 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.794 * [taylor]: Taking taylor expansion of 1/2 in k 0.794 * [backup-simplify]: Simplify 1/2 into 1/2 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.794 * [taylor]: Taking taylor expansion of k in k 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of 1 in k 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.794 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.794 * [taylor]: Taking taylor expansion of -2 in k 0.794 * [backup-simplify]: Simplify -2 into -2 0.794 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.794 * [taylor]: Taking taylor expansion of PI in k 0.794 * [backup-simplify]: Simplify PI into PI 0.794 * [taylor]: Taking taylor expansion of n in k 0.794 * [backup-simplify]: Simplify n into n 0.794 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.795 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.795 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.795 * [backup-simplify]: Simplify (+ 1 0) into 1 0.796 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.796 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.796 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.796 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.796 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.796 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.796 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.796 * [taylor]: Taking taylor expansion of 1/2 in n 0.796 * [backup-simplify]: Simplify 1/2 into 1/2 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.796 * [taylor]: Taking taylor expansion of k in n 0.796 * [backup-simplify]: Simplify k into k 0.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.796 * [taylor]: Taking taylor expansion of 1 in n 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.796 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.796 * [taylor]: Taking taylor expansion of -2 in n 0.796 * [backup-simplify]: Simplify -2 into -2 0.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.796 * [backup-simplify]: Simplify PI into PI 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ PI 1) into PI 0.797 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.798 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.798 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.799 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.801 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.802 * [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))))) 0.802 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.802 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.802 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.802 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.802 * [taylor]: Taking taylor expansion of 1/2 in n 0.802 * [backup-simplify]: Simplify 1/2 into 1/2 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.802 * [taylor]: Taking taylor expansion of k in n 0.802 * [backup-simplify]: Simplify k into k 0.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.802 * [taylor]: Taking taylor expansion of 1 in n 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.802 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.802 * [taylor]: Taking taylor expansion of -2 in n 0.802 * [backup-simplify]: Simplify -2 into -2 0.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.803 * [taylor]: Taking taylor expansion of PI in n 0.803 * [backup-simplify]: Simplify PI into PI 0.803 * [taylor]: Taking taylor expansion of n in n 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ PI 1) into PI 0.804 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.804 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.805 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.805 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.807 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.808 * [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))))) 0.808 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.809 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.809 * [taylor]: Taking taylor expansion of 1/2 in k 0.809 * [backup-simplify]: Simplify 1/2 into 1/2 0.809 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.809 * [taylor]: Taking taylor expansion of k in k 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [taylor]: Taking taylor expansion of 1 in k 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.809 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.809 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.809 * [taylor]: Taking taylor expansion of -2 in k 0.809 * [backup-simplify]: Simplify -2 into -2 0.809 * [taylor]: Taking taylor expansion of PI in k 0.809 * [backup-simplify]: Simplify PI into PI 0.810 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.811 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.811 * [taylor]: Taking taylor expansion of (log n) in k 0.811 * [taylor]: Taking taylor expansion of n in k 0.811 * [backup-simplify]: Simplify n into n 0.811 * [backup-simplify]: Simplify (log n) into (log n) 0.811 * [backup-simplify]: Simplify (+ 1 0) into 1 0.811 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.812 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.813 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.814 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.815 * [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))))) 0.816 * [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))))) 0.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.824 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.825 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.826 * [taylor]: Taking taylor expansion of 0 in k 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.836 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.838 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in k 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.844 * [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 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.848 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.850 * [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 0.850 * [taylor]: Taking taylor expansion of 0 in k 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [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)))))) 0.851 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.851 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.851 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.851 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.851 * [taylor]: Taking taylor expansion of 2 in n 0.851 * [backup-simplify]: Simplify 2 into 2 0.851 * [taylor]: Taking taylor expansion of (* n PI) in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of PI in n 0.851 * [backup-simplify]: Simplify PI into PI 0.851 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.851 * [taylor]: Taking taylor expansion of 2 in n 0.851 * [backup-simplify]: Simplify 2 into 2 0.851 * [taylor]: Taking taylor expansion of (* n PI) in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of PI in n 0.851 * [backup-simplify]: Simplify PI into PI 0.852 * [backup-simplify]: Simplify (* 0 PI) into 0 0.852 * [backup-simplify]: Simplify (* 2 0) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.859 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.859 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.869 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.869 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.869 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.869 * [taylor]: Taking taylor expansion of 2 in n 0.869 * [backup-simplify]: Simplify 2 into 2 0.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.869 * [taylor]: Taking taylor expansion of PI in n 0.869 * [backup-simplify]: Simplify PI into PI 0.870 * [taylor]: Taking taylor expansion of n in n 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (/ PI 1) into PI 0.870 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.870 * [taylor]: Taking taylor expansion of 2 in n 0.870 * [backup-simplify]: Simplify 2 into 2 0.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.870 * [taylor]: Taking taylor expansion of PI in n 0.870 * [backup-simplify]: Simplify PI into PI 0.870 * [taylor]: Taking taylor expansion of n in n 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (/ PI 1) into PI 0.871 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.871 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [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 0.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.879 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.879 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.879 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.879 * [taylor]: Taking taylor expansion of -2 in n 0.879 * [backup-simplify]: Simplify -2 into -2 0.879 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.879 * [taylor]: Taking taylor expansion of PI in n 0.879 * [backup-simplify]: Simplify PI into PI 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ PI 1) into PI 0.880 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.880 * [taylor]: Taking taylor expansion of -2 in n 0.880 * [backup-simplify]: Simplify -2 into -2 0.880 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.880 * [taylor]: Taking taylor expansion of PI in n 0.880 * [backup-simplify]: Simplify PI into PI 0.880 * [taylor]: Taking taylor expansion of n in n 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ PI 1) into PI 0.880 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.881 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.883 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [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 0.888 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.889 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.889 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.889 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.889 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.889 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.889 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.889 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.889 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.889 * [taylor]: Taking taylor expansion of 1/2 in k 0.889 * [backup-simplify]: Simplify 1/2 into 1/2 0.889 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.889 * [taylor]: Taking taylor expansion of 1 in k 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [taylor]: Taking taylor expansion of k in k 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.890 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.890 * [taylor]: Taking taylor expansion of 2 in k 0.890 * [backup-simplify]: Simplify 2 into 2 0.890 * [taylor]: Taking taylor expansion of (* n PI) in k 0.890 * [taylor]: Taking taylor expansion of n in k 0.890 * [backup-simplify]: Simplify n into n 0.890 * [taylor]: Taking taylor expansion of PI in k 0.890 * [backup-simplify]: Simplify PI into PI 0.890 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.890 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.890 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.891 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.891 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.891 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.891 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.891 * [taylor]: Taking taylor expansion of k in k 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [backup-simplify]: Simplify (sqrt 0) into 0 0.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.892 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.893 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.893 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.893 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.893 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.893 * [taylor]: Taking taylor expansion of 1/2 in n 0.893 * [backup-simplify]: Simplify 1/2 into 1/2 0.893 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.893 * [taylor]: Taking taylor expansion of 1 in n 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of k in n 0.893 * [backup-simplify]: Simplify k into k 0.893 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.893 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.893 * [taylor]: Taking taylor expansion of 2 in n 0.893 * [backup-simplify]: Simplify 2 into 2 0.893 * [taylor]: Taking taylor expansion of (* n PI) in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of PI in n 0.893 * [backup-simplify]: Simplify PI into PI 0.894 * [backup-simplify]: Simplify (* 0 PI) into 0 0.894 * [backup-simplify]: Simplify (* 2 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.897 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.898 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.898 * [backup-simplify]: Simplify (- k) into (- k) 0.898 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.898 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.900 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.901 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.901 * [taylor]: Taking taylor expansion of k in n 0.901 * [backup-simplify]: Simplify k into k 0.902 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.902 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.902 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.902 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.902 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.902 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.902 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.902 * [taylor]: Taking taylor expansion of 1/2 in n 0.902 * [backup-simplify]: Simplify 1/2 into 1/2 0.902 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.902 * [taylor]: Taking taylor expansion of 1 in n 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of k in n 0.902 * [backup-simplify]: Simplify k into k 0.902 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.902 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.902 * [taylor]: Taking taylor expansion of 2 in n 0.902 * [backup-simplify]: Simplify 2 into 2 0.902 * [taylor]: Taking taylor expansion of (* n PI) in n 0.902 * [taylor]: Taking taylor expansion of n in n 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of PI in n 0.902 * [backup-simplify]: Simplify PI into PI 0.903 * [backup-simplify]: Simplify (* 0 PI) into 0 0.903 * [backup-simplify]: Simplify (* 2 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.906 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.907 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.907 * [backup-simplify]: Simplify (- k) into (- k) 0.907 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.907 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.910 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.911 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.911 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.911 * [taylor]: Taking taylor expansion of k in n 0.911 * [backup-simplify]: Simplify k into k 0.911 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.911 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.912 * [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))) 0.912 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.912 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.912 * [taylor]: Taking taylor expansion of 1/2 in k 0.912 * [backup-simplify]: Simplify 1/2 into 1/2 0.912 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.912 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.913 * [taylor]: Taking taylor expansion of 1 in k 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [taylor]: Taking taylor expansion of k in k 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.913 * [taylor]: Taking taylor expansion of (log n) in k 0.913 * [taylor]: Taking taylor expansion of n in k 0.913 * [backup-simplify]: Simplify n into n 0.913 * [backup-simplify]: Simplify (log n) into (log n) 0.913 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.913 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.913 * [taylor]: Taking taylor expansion of 2 in k 0.913 * [backup-simplify]: Simplify 2 into 2 0.913 * [taylor]: Taking taylor expansion of PI in k 0.913 * [backup-simplify]: Simplify PI into PI 0.914 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.915 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.915 * [backup-simplify]: Simplify (- 0) into 0 0.915 * [backup-simplify]: Simplify (+ 1 0) into 1 0.916 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.917 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.918 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.919 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.919 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.919 * [taylor]: Taking taylor expansion of k in k 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (sqrt 0) into 0 0.921 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.929 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.930 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.932 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.933 * [taylor]: Taking taylor expansion of 0 in k 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.934 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (- 1) into -1 0.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.941 * [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))))) 0.944 * [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))))))) 0.948 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.949 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.955 * [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 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.959 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.962 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.963 * [taylor]: Taking taylor expansion of 0 in k 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.977 * [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 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (- 0) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.983 * [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))))) 0.988 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.990 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.995 * [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 0.996 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.998 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.999 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.000 * [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 1.001 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.001 * [taylor]: Taking taylor expansion of 0 in k 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.006 * [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 1.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.010 * [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 1.010 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (- 0) into 0 1.010 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.020 * [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))))))) 1.037 * [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)))))))))))))) 1.048 * [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)))))))))))))) 1.065 * [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)))))))))))))))))))))) 1.066 * [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)) 1.066 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.066 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.066 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.066 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.066 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.066 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.066 * [taylor]: Taking taylor expansion of 1/2 in k 1.066 * [backup-simplify]: Simplify 1/2 into 1/2 1.066 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.066 * [taylor]: Taking taylor expansion of 1 in k 1.066 * [backup-simplify]: Simplify 1 into 1 1.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.067 * [taylor]: Taking taylor expansion of k in k 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.067 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.067 * [taylor]: Taking taylor expansion of 2 in k 1.067 * [backup-simplify]: Simplify 2 into 2 1.067 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.067 * [taylor]: Taking taylor expansion of PI in k 1.067 * [backup-simplify]: Simplify PI into PI 1.067 * [taylor]: Taking taylor expansion of n in k 1.067 * [backup-simplify]: Simplify n into n 1.067 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.067 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.067 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.068 * [backup-simplify]: Simplify (- 1) into -1 1.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.069 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.069 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.069 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.069 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.069 * [taylor]: Taking taylor expansion of k in k 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (sqrt 0) into 0 1.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.071 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.071 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.071 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.071 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.071 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.071 * [taylor]: Taking taylor expansion of 1/2 in n 1.071 * [backup-simplify]: Simplify 1/2 into 1/2 1.071 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.071 * [taylor]: Taking taylor expansion of 1 in n 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.071 * [taylor]: Taking taylor expansion of k in n 1.071 * [backup-simplify]: Simplify k into k 1.071 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.071 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.071 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.071 * [taylor]: Taking taylor expansion of 2 in n 1.071 * [backup-simplify]: Simplify 2 into 2 1.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.071 * [taylor]: Taking taylor expansion of PI in n 1.071 * [backup-simplify]: Simplify PI into PI 1.071 * [taylor]: Taking taylor expansion of n in n 1.071 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ PI 1) into PI 1.072 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.073 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.073 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.073 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.073 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.075 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.075 * [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))))) 1.075 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.075 * [taylor]: Taking taylor expansion of k in n 1.075 * [backup-simplify]: Simplify k into k 1.075 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.075 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.075 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.075 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.075 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.075 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.075 * [taylor]: Taking taylor expansion of 1/2 in n 1.075 * [backup-simplify]: Simplify 1/2 into 1/2 1.076 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.076 * [taylor]: Taking taylor expansion of 1 in n 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.076 * [taylor]: Taking taylor expansion of k in n 1.076 * [backup-simplify]: Simplify k into k 1.076 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.076 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.076 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.076 * [taylor]: Taking taylor expansion of 2 in n 1.076 * [backup-simplify]: Simplify 2 into 2 1.076 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.076 * [taylor]: Taking taylor expansion of PI in n 1.076 * [backup-simplify]: Simplify PI into PI 1.076 * [taylor]: Taking taylor expansion of n in n 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ PI 1) into PI 1.076 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.081 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.081 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.081 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.081 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.083 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.083 * [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))))) 1.083 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.083 * [taylor]: Taking taylor expansion of k in n 1.083 * [backup-simplify]: Simplify k into k 1.083 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.084 * [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)) 1.084 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.084 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.084 * [taylor]: Taking taylor expansion of 1/2 in k 1.084 * [backup-simplify]: Simplify 1/2 into 1/2 1.084 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.084 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.084 * [taylor]: Taking taylor expansion of 1 in k 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.084 * [taylor]: Taking taylor expansion of k in k 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.085 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.085 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.085 * [taylor]: Taking taylor expansion of 2 in k 1.085 * [backup-simplify]: Simplify 2 into 2 1.085 * [taylor]: Taking taylor expansion of PI in k 1.085 * [backup-simplify]: Simplify PI into PI 1.085 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.086 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.086 * [taylor]: Taking taylor expansion of (log n) in k 1.086 * [taylor]: Taking taylor expansion of n in k 1.086 * [backup-simplify]: Simplify n into n 1.086 * [backup-simplify]: Simplify (log n) into (log n) 1.086 * [backup-simplify]: Simplify (- 1) into -1 1.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.086 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.087 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.088 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.088 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.089 * [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))))) 1.089 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.089 * [taylor]: Taking taylor expansion of k in k 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (sqrt 0) into 0 1.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.093 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.095 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.097 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.097 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.097 * [taylor]: Taking taylor expansion of 0 in k 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.098 * [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))))))) 1.099 * [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))))))) 1.100 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.103 * [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 1.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.106 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.108 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.109 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.109 * [taylor]: Taking taylor expansion of 0 in k 1.109 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.114 * [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))))))) 1.115 * [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))))))) 1.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.123 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.124 * [backup-simplify]: Simplify (- 0) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.127 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.128 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.131 * [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 1.132 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.132 * [taylor]: Taking taylor expansion of 0 in k 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.138 * [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))))))) 1.139 * [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))))))) 1.142 * [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)))))))) 1.143 * [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))) 1.143 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.143 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.143 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.143 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.143 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.143 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.143 * [taylor]: Taking taylor expansion of 1/2 in k 1.143 * [backup-simplify]: Simplify 1/2 into 1/2 1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.143 * [taylor]: Taking taylor expansion of k in k 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (/ 1 1) into 1 1.144 * [taylor]: Taking taylor expansion of 1 in k 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.144 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.144 * [taylor]: Taking taylor expansion of -2 in k 1.144 * [backup-simplify]: Simplify -2 into -2 1.144 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.144 * [taylor]: Taking taylor expansion of PI in k 1.144 * [backup-simplify]: Simplify PI into PI 1.144 * [taylor]: Taking taylor expansion of n in k 1.144 * [backup-simplify]: Simplify n into n 1.144 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.144 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.144 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.145 * [backup-simplify]: Simplify (+ 1 0) into 1 1.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.145 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.145 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.145 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.145 * [taylor]: Taking taylor expansion of -1 in k 1.145 * [backup-simplify]: Simplify -1 into -1 1.145 * [taylor]: Taking taylor expansion of k in k 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ -1 1) into -1 1.146 * [backup-simplify]: Simplify (sqrt 0) into 0 1.147 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.148 * [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))))) 1.148 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.148 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.148 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.148 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.148 * [taylor]: Taking taylor expansion of 1/2 in n 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.148 * [taylor]: Taking taylor expansion of k in n 1.148 * [backup-simplify]: Simplify k into k 1.148 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.148 * [taylor]: Taking taylor expansion of 1 in n 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.148 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.148 * [taylor]: Taking taylor expansion of -2 in n 1.148 * [backup-simplify]: Simplify -2 into -2 1.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.148 * [taylor]: Taking taylor expansion of PI in n 1.148 * [backup-simplify]: Simplify PI into PI 1.148 * [taylor]: Taking taylor expansion of n in n 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ PI 1) into PI 1.149 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.150 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.150 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.150 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.152 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.153 * [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))))) 1.153 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.153 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.153 * [taylor]: Taking taylor expansion of -1 in n 1.153 * [backup-simplify]: Simplify -1 into -1 1.153 * [taylor]: Taking taylor expansion of k in n 1.153 * [backup-simplify]: Simplify k into k 1.154 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.154 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.154 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.155 * [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))) 1.155 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.155 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.155 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.155 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.155 * [taylor]: Taking taylor expansion of 1/2 in n 1.155 * [backup-simplify]: Simplify 1/2 into 1/2 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.155 * [taylor]: Taking taylor expansion of k in n 1.155 * [backup-simplify]: Simplify k into k 1.155 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.155 * [taylor]: Taking taylor expansion of 1 in n 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.155 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.155 * [taylor]: Taking taylor expansion of -2 in n 1.155 * [backup-simplify]: Simplify -2 into -2 1.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.155 * [taylor]: Taking taylor expansion of PI in n 1.155 * [backup-simplify]: Simplify PI into PI 1.155 * [taylor]: Taking taylor expansion of n in n 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (/ PI 1) into PI 1.156 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.157 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.157 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.157 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.159 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.160 * [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))))) 1.161 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.161 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.161 * [taylor]: Taking taylor expansion of -1 in n 1.161 * [backup-simplify]: Simplify -1 into -1 1.161 * [taylor]: Taking taylor expansion of k in n 1.161 * [backup-simplify]: Simplify k into k 1.161 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.161 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.161 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.162 * [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))) 1.162 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.162 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.162 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.162 * [taylor]: Taking taylor expansion of 1/2 in k 1.162 * [backup-simplify]: Simplify 1/2 into 1/2 1.162 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.162 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.162 * [taylor]: Taking taylor expansion of k in k 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (/ 1 1) into 1 1.163 * [taylor]: Taking taylor expansion of 1 in k 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.163 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.163 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.163 * [taylor]: Taking taylor expansion of -2 in k 1.163 * [backup-simplify]: Simplify -2 into -2 1.163 * [taylor]: Taking taylor expansion of PI in k 1.163 * [backup-simplify]: Simplify PI into PI 1.163 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.164 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.164 * [taylor]: Taking taylor expansion of (log n) in k 1.164 * [taylor]: Taking taylor expansion of n in k 1.164 * [backup-simplify]: Simplify n into n 1.164 * [backup-simplify]: Simplify (log n) into (log n) 1.165 * [backup-simplify]: Simplify (+ 1 0) into 1 1.165 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.166 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.167 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.168 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.169 * [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))))) 1.169 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.169 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.169 * [taylor]: Taking taylor expansion of -1 in k 1.169 * [backup-simplify]: Simplify -1 into -1 1.169 * [taylor]: Taking taylor expansion of k in k 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (/ -1 1) into -1 1.169 * [backup-simplify]: Simplify (sqrt 0) into 0 1.171 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.172 * [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)))))) 1.173 * [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)))))) 1.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.174 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.176 * [backup-simplify]: Simplify (+ 0 0) into 0 1.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.178 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.178 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.179 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.180 * [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 1.180 * [taylor]: Taking taylor expansion of 0 in k 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.184 * [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))))))) 1.184 * [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))))))) 1.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.187 * [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 1.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.195 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.196 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.197 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.198 * [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 1.198 * [taylor]: Taking taylor expansion of 0 in k 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.203 * [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))))))) 1.204 * [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))))))) 1.206 * [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)))))))))))) 1.206 * * * [progress]: simplifying candidates 1.206 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.206 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.206 * * [simplify]: iters left: 6 (13 enodes) 1.210 * * [simplify]: iters left: 5 (54 enodes) 1.219 * * [simplify]: iters left: 4 (97 enodes) 1.239 * * [simplify]: iters left: 3 (242 enodes) 1.303 * * [simplify]: Extracting #0: cost 1 inf + 0 1.303 * * [simplify]: Extracting #1: cost 28 inf + 0 1.303 * * [simplify]: Extracting #2: cost 93 inf + 2 1.303 * * [simplify]: Extracting #3: cost 139 inf + 75 1.304 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.309 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.315 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.321 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.321 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.322 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.322 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.322 * * [simplify]: iters left: 6 (12 enodes) 1.326 * * [simplify]: iters left: 5 (52 enodes) 1.335 * * [simplify]: iters left: 4 (90 enodes) 1.355 * * [simplify]: iters left: 3 (201 enodes) 1.427 * * [simplify]: iters left: 2 (496 enodes) 1.731 * * [simplify]: Extracting #0: cost 1 inf + 0 1.731 * * [simplify]: Extracting #1: cost 22 inf + 0 1.732 * * [simplify]: Extracting #2: cost 122 inf + 2 1.733 * * [simplify]: Extracting #3: cost 296 inf + 186 1.735 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.746 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.769 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.792 * * [simplify]: Extracting #7: cost 0 inf + 82436 1.820 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.820 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.820 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.820 * * [simplify]: iters left: 6 (11 enodes) 1.827 * * [simplify]: iters left: 5 (51 enodes) 1.845 * * [simplify]: iters left: 4 (97 enodes) 1.877 * * [simplify]: iters left: 3 (197 enodes) 1.967 * * [simplify]: iters left: 2 (491 enodes) 2.286 * * [simplify]: Extracting #0: cost 1 inf + 0 2.286 * * [simplify]: Extracting #1: cost 27 inf + 0 2.287 * * [simplify]: Extracting #2: cost 139 inf + 2 2.289 * * [simplify]: Extracting #3: cost 300 inf + 382 2.294 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.320 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.349 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.365 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.386 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.386 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.386 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.386 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.387 * [simplify]: Simplifying (* n (* 2 PI)) 2.387 * * [simplify]: iters left: 4 (5 enodes) 2.390 * * [simplify]: iters left: 3 (19 enodes) 2.394 * * [simplify]: iters left: 2 (27 enodes) 2.399 * * [simplify]: iters left: 1 (32 enodes) 2.404 * * [simplify]: Extracting #0: cost 1 inf + 0 2.404 * * [simplify]: Extracting #1: cost 8 inf + 0 2.404 * * [simplify]: Extracting #2: cost 7 inf + 45 2.404 * * [simplify]: Extracting #3: cost 0 inf + 421 2.404 * [simplify]: Simplified to (* (* PI 2) n) 2.404 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.404 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.405 * [simplify]: Simplifying (* n (* 2 PI)) 2.405 * * [simplify]: iters left: 4 (5 enodes) 2.407 * * [simplify]: iters left: 3 (19 enodes) 2.411 * * [simplify]: iters left: 2 (27 enodes) 2.415 * * [simplify]: iters left: 1 (32 enodes) 2.419 * * [simplify]: Extracting #0: cost 1 inf + 0 2.419 * * [simplify]: Extracting #1: cost 8 inf + 0 2.419 * * [simplify]: Extracting #2: cost 7 inf + 45 2.420 * * [simplify]: Extracting #3: cost 0 inf + 421 2.420 * [simplify]: Simplified to (* (* PI 2) n) 2.420 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.420 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.420 * [simplify]: Simplifying (* n (* 2 PI)) 2.420 * * [simplify]: iters left: 4 (5 enodes) 2.422 * * [simplify]: iters left: 3 (19 enodes) 2.424 * * [simplify]: iters left: 2 (27 enodes) 2.428 * * [simplify]: iters left: 1 (32 enodes) 2.436 * * [simplify]: Extracting #0: cost 1 inf + 0 2.436 * * [simplify]: Extracting #1: cost 8 inf + 0 2.436 * * [simplify]: Extracting #2: cost 7 inf + 45 2.437 * * [simplify]: Extracting #3: cost 0 inf + 421 2.437 * [simplify]: Simplified to (* (* PI 2) n) 2.437 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.437 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.437 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.437 * * [simplify]: iters left: 5 (8 enodes) 2.442 * * [simplify]: iters left: 4 (31 enodes) 2.452 * * [simplify]: iters left: 3 (51 enodes) 2.468 * * [simplify]: iters left: 2 (85 enodes) 2.484 * * [simplify]: iters left: 1 (152 enodes) 2.525 * * [simplify]: Extracting #0: cost 1 inf + 0 2.525 * * [simplify]: Extracting #1: cost 13 inf + 0 2.526 * * [simplify]: Extracting #2: cost 59 inf + 1 2.526 * * [simplify]: Extracting #3: cost 76 inf + 9 2.527 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.529 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.532 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.535 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.538 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.538 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.538 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.539 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.539 * * [simplify]: iters left: 5 (6 enodes) 2.541 * * [simplify]: iters left: 4 (26 enodes) 2.546 * * [simplify]: iters left: 3 (35 enodes) 2.552 * * [simplify]: Extracting #0: cost 1 inf + 0 2.552 * * [simplify]: Extracting #1: cost 3 inf + 0 2.552 * * [simplify]: Extracting #2: cost 8 inf + 0 2.552 * * [simplify]: Extracting #3: cost 11 inf + 2 2.552 * * [simplify]: Extracting #4: cost 8 inf + 87 2.552 * * [simplify]: Extracting #5: cost 2 inf + 500 2.552 * * [simplify]: Extracting #6: cost 0 inf + 746 2.553 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.553 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 2.553 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.553 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.553 * * [simplify]: iters left: 5 (6 enodes) 2.555 * * [simplify]: iters left: 4 (26 enodes) 2.559 * * [simplify]: iters left: 3 (35 enodes) 2.565 * * [simplify]: Extracting #0: cost 1 inf + 0 2.565 * * [simplify]: Extracting #1: cost 3 inf + 0 2.565 * * [simplify]: Extracting #2: cost 8 inf + 0 2.565 * * [simplify]: Extracting #3: cost 11 inf + 2 2.565 * * [simplify]: Extracting #4: cost 8 inf + 87 2.566 * * [simplify]: Extracting #5: cost 2 inf + 460 2.566 * * [simplify]: Extracting #6: cost 0 inf + 666 2.566 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.566 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.566 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.567 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.567 * * [simplify]: iters left: 5 (7 enodes) 2.571 * * [simplify]: iters left: 4 (25 enodes) 2.579 * * [simplify]: iters left: 3 (30 enodes) 2.589 * * [simplify]: Extracting #0: cost 1 inf + 0 2.589 * * [simplify]: Extracting #1: cost 4 inf + 0 2.589 * * [simplify]: Extracting #2: cost 8 inf + 0 2.589 * * [simplify]: Extracting #3: cost 10 inf + 82 2.589 * * [simplify]: Extracting #4: cost 7 inf + 206 2.589 * * [simplify]: Extracting #5: cost 2 inf + 575 2.590 * * [simplify]: Extracting #6: cost 1 inf + 818 2.590 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.590 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.590 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.591 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.591 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.591 * * [simplify]: iters left: 5 (7 enodes) 2.594 * * [simplify]: iters left: 4 (25 enodes) 2.598 * * [simplify]: iters left: 3 (30 enodes) 2.603 * * [simplify]: Extracting #0: cost 1 inf + 0 2.603 * * [simplify]: Extracting #1: cost 4 inf + 0 2.603 * * [simplify]: Extracting #2: cost 8 inf + 0 2.603 * * [simplify]: Extracting #3: cost 10 inf + 42 2.603 * * [simplify]: Extracting #4: cost 7 inf + 126 2.604 * * [simplify]: Extracting #5: cost 2 inf + 495 2.604 * * [simplify]: Extracting #6: cost 1 inf + 698 2.604 * * [simplify]: Extracting #7: cost 0 inf + 901 2.604 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.604 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.604 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.604 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.604 * * [simplify]: iters left: 5 (6 enodes) 2.606 * * [simplify]: iters left: 4 (22 enodes) 2.610 * * [simplify]: iters left: 3 (27 enodes) 2.617 * * [simplify]: Extracting #0: cost 1 inf + 0 2.617 * * [simplify]: Extracting #1: cost 4 inf + 0 2.617 * * [simplify]: Extracting #2: cost 5 inf + 1 2.617 * * [simplify]: Extracting #3: cost 9 inf + 1 2.617 * * [simplify]: Extracting #4: cost 8 inf + 3 2.618 * * [simplify]: Extracting #5: cost 4 inf + 169 2.618 * * [simplify]: Extracting #6: cost 1 inf + 576 2.618 * * [simplify]: Extracting #7: cost 0 inf + 739 2.618 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.618 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.618 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.618 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.618 * * [simplify]: iters left: 5 (7 enodes) 2.621 * * [simplify]: iters left: 4 (25 enodes) 2.630 * * [simplify]: iters left: 3 (30 enodes) 2.639 * * [simplify]: Extracting #0: cost 1 inf + 0 2.639 * * [simplify]: Extracting #1: cost 4 inf + 0 2.639 * * [simplify]: Extracting #2: cost 8 inf + 0 2.639 * * [simplify]: Extracting #3: cost 10 inf + 82 2.639 * * [simplify]: Extracting #4: cost 7 inf + 206 2.639 * * [simplify]: Extracting #5: cost 2 inf + 495 2.639 * * [simplify]: Extracting #6: cost 1 inf + 698 2.639 * * [simplify]: Extracting #7: cost 0 inf + 901 2.639 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.640 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.640 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.640 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.640 * * [simplify]: iters left: 5 (7 enodes) 2.642 * * [simplify]: iters left: 4 (25 enodes) 2.647 * * [simplify]: iters left: 3 (30 enodes) 2.652 * * [simplify]: Extracting #0: cost 1 inf + 0 2.652 * * [simplify]: Extracting #1: cost 4 inf + 0 2.652 * * [simplify]: Extracting #2: cost 8 inf + 0 2.652 * * [simplify]: Extracting #3: cost 10 inf + 42 2.652 * * [simplify]: Extracting #4: cost 7 inf + 126 2.652 * * [simplify]: Extracting #5: cost 2 inf + 415 2.652 * * [simplify]: Extracting #6: cost 1 inf + 578 2.652 * * [simplify]: Extracting #7: cost 0 inf + 741 2.652 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.652 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.653 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.653 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.653 * * [simplify]: iters left: 5 (6 enodes) 2.655 * * [simplify]: iters left: 4 (22 enodes) 2.658 * * [simplify]: iters left: 3 (27 enodes) 2.663 * * [simplify]: Extracting #0: cost 1 inf + 0 2.663 * * [simplify]: Extracting #1: cost 4 inf + 0 2.663 * * [simplify]: Extracting #2: cost 5 inf + 1 2.663 * * [simplify]: Extracting #3: cost 9 inf + 1 2.663 * * [simplify]: Extracting #4: cost 8 inf + 3 2.663 * * [simplify]: Extracting #5: cost 4 inf + 169 2.663 * * [simplify]: Extracting #6: cost 1 inf + 456 2.663 * * [simplify]: Extracting #7: cost 0 inf + 579 2.664 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.664 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.664 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.664 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.664 * * [simplify]: iters left: 4 (6 enodes) 2.667 * * [simplify]: iters left: 3 (25 enodes) 2.676 * * [simplify]: iters left: 2 (36 enodes) 2.687 * * [simplify]: iters left: 1 (40 enodes) 2.699 * * [simplify]: Extracting #0: cost 1 inf + 0 2.699 * * [simplify]: Extracting #1: cost 7 inf + 0 2.699 * * [simplify]: Extracting #2: cost 16 inf + 0 2.699 * * [simplify]: Extracting #3: cost 13 inf + 44 2.699 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.700 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.700 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.700 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.700 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.701 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.701 * * [simplify]: iters left: 4 (6 enodes) 2.705 * * [simplify]: iters left: 3 (25 enodes) 2.713 * * [simplify]: iters left: 2 (36 enodes) 2.719 * * [simplify]: iters left: 1 (40 enodes) 2.725 * * [simplify]: Extracting #0: cost 1 inf + 0 2.725 * * [simplify]: Extracting #1: cost 7 inf + 0 2.726 * * [simplify]: Extracting #2: cost 16 inf + 0 2.726 * * [simplify]: Extracting #3: cost 13 inf + 44 2.726 * * [simplify]: Extracting #4: cost 3 inf + 823 2.726 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.726 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.726 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.726 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.727 * [simplify]: Simplifying (/ (- 1 k) 2) 2.727 * * [simplify]: iters left: 4 (5 enodes) 2.729 * * [simplify]: iters left: 3 (23 enodes) 2.737 * * [simplify]: iters left: 2 (32 enodes) 2.742 * * [simplify]: Extracting #0: cost 1 inf + 0 2.743 * * [simplify]: Extracting #1: cost 6 inf + 0 2.743 * * [simplify]: Extracting #2: cost 9 inf + 2 2.743 * * [simplify]: Extracting #3: cost 6 inf + 87 2.743 * * [simplify]: Extracting #4: cost 0 inf + 420 2.743 * [simplify]: Simplified to (/ (- 1 k) 2) 2.743 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.744 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.744 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.744 * * [simplify]: iters left: 5 (8 enodes) 2.749 * * [simplify]: iters left: 4 (31 enodes) 2.759 * * [simplify]: iters left: 3 (45 enodes) 2.772 * * [simplify]: iters left: 2 (51 enodes) 2.787 * * [simplify]: iters left: 1 (52 enodes) 2.799 * * [simplify]: Extracting #0: cost 1 inf + 0 2.799 * * [simplify]: Extracting #1: cost 8 inf + 0 2.799 * * [simplify]: Extracting #2: cost 18 inf + 0 2.799 * * [simplify]: Extracting #3: cost 19 inf + 2 2.800 * * [simplify]: Extracting #4: cost 9 inf + 977 2.800 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.800 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.801 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.801 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.801 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.801 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.801 * * [simplify]: iters left: 5 (8 enodes) 2.804 * * [simplify]: iters left: 4 (31 enodes) 2.809 * * [simplify]: iters left: 3 (45 enodes) 2.816 * * [simplify]: iters left: 2 (51 enodes) 2.823 * * [simplify]: iters left: 1 (52 enodes) 2.836 * * [simplify]: Extracting #0: cost 1 inf + 0 2.837 * * [simplify]: Extracting #1: cost 8 inf + 0 2.837 * * [simplify]: Extracting #2: cost 18 inf + 0 2.837 * * [simplify]: Extracting #3: cost 19 inf + 2 2.837 * * [simplify]: Extracting #4: cost 9 inf + 697 2.838 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.838 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.839 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.839 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.839 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.840 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.840 * * [simplify]: iters left: 5 (7 enodes) 2.844 * * [simplify]: iters left: 4 (29 enodes) 2.850 * * [simplify]: iters left: 3 (43 enodes) 2.858 * * [simplify]: iters left: 2 (47 enodes) 2.864 * * [simplify]: Extracting #0: cost 1 inf + 0 2.865 * * [simplify]: Extracting #1: cost 7 inf + 0 2.865 * * [simplify]: Extracting #2: cost 11 inf + 2 2.865 * * [simplify]: Extracting #3: cost 13 inf + 3 2.865 * * [simplify]: Extracting #4: cost 11 inf + 45 2.865 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.865 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.865 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.865 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.865 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.866 * * [simplify]: iters left: 5 (7 enodes) 2.868 * * [simplify]: iters left: 4 (28 enodes) 2.875 * * [simplify]: iters left: 3 (39 enodes) 2.887 * * [simplify]: iters left: 2 (43 enodes) 2.899 * * [simplify]: Extracting #0: cost 1 inf + 0 2.900 * * [simplify]: Extracting #1: cost 7 inf + 0 2.900 * * [simplify]: Extracting #2: cost 16 inf + 0 2.900 * * [simplify]: Extracting #3: cost 15 inf + 164 2.900 * * [simplify]: Extracting #4: cost 13 inf + 287 2.900 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.901 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.901 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.901 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.902 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.902 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.902 * * [simplify]: iters left: 5 (7 enodes) 2.906 * * [simplify]: iters left: 4 (28 enodes) 2.910 * * [simplify]: iters left: 3 (39 enodes) 2.917 * * [simplify]: iters left: 2 (43 enodes) 2.924 * * [simplify]: Extracting #0: cost 1 inf + 0 2.924 * * [simplify]: Extracting #1: cost 7 inf + 0 2.924 * * [simplify]: Extracting #2: cost 16 inf + 0 2.924 * * [simplify]: Extracting #3: cost 15 inf + 84 2.924 * * [simplify]: Extracting #4: cost 13 inf + 167 2.924 * * [simplify]: Extracting #5: cost 5 inf + 900 2.925 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.925 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.925 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.925 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.925 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.925 * * [simplify]: iters left: 5 (6 enodes) 2.928 * * [simplify]: iters left: 4 (26 enodes) 2.932 * * [simplify]: iters left: 3 (35 enodes) 2.943 * * [simplify]: Extracting #0: cost 1 inf + 0 2.943 * * [simplify]: Extracting #1: cost 6 inf + 0 2.943 * * [simplify]: Extracting #2: cost 9 inf + 2 2.943 * * [simplify]: Extracting #3: cost 11 inf + 3 2.944 * * [simplify]: Extracting #4: cost 10 inf + 4 2.944 * * [simplify]: Extracting #5: cost 3 inf + 535 2.944 * * [simplify]: Extracting #6: cost 0 inf + 822 2.944 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.945 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.945 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.945 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.945 * * [simplify]: iters left: 4 (6 enodes) 2.949 * * [simplify]: iters left: 3 (25 enodes) 2.958 * * [simplify]: iters left: 2 (36 enodes) 2.970 * * [simplify]: iters left: 1 (40 enodes) 2.985 * * [simplify]: Extracting #0: cost 1 inf + 0 2.985 * * [simplify]: Extracting #1: cost 7 inf + 0 2.985 * * [simplify]: Extracting #2: cost 16 inf + 0 2.985 * * [simplify]: Extracting #3: cost 13 inf + 44 2.986 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.986 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.987 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.987 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.987 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.987 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.987 * * [simplify]: iters left: 4 (6 enodes) 2.991 * * [simplify]: iters left: 3 (25 enodes) 3.000 * * [simplify]: iters left: 2 (36 enodes) 3.012 * * [simplify]: iters left: 1 (40 enodes) 3.018 * * [simplify]: Extracting #0: cost 1 inf + 0 3.018 * * [simplify]: Extracting #1: cost 7 inf + 0 3.018 * * [simplify]: Extracting #2: cost 16 inf + 0 3.018 * * [simplify]: Extracting #3: cost 13 inf + 44 3.018 * * [simplify]: Extracting #4: cost 3 inf + 823 3.019 * * [simplify]: Extracting #5: cost 0 inf + 1069 3.019 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 3.019 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 3.019 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 3.019 * [simplify]: Simplifying (/ (- 1 k) 2) 3.019 * * [simplify]: iters left: 4 (5 enodes) 3.021 * * [simplify]: iters left: 3 (23 enodes) 3.026 * * [simplify]: iters left: 2 (32 enodes) 3.032 * * [simplify]: Extracting #0: cost 1 inf + 0 3.032 * * [simplify]: Extracting #1: cost 6 inf + 0 3.032 * * [simplify]: Extracting #2: cost 9 inf + 2 3.032 * * [simplify]: Extracting #3: cost 6 inf + 87 3.032 * * [simplify]: Extracting #4: cost 0 inf + 420 3.032 * [simplify]: Simplified to (/ (- 1 k) 2) 3.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 3.032 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.033 * [simplify]: Simplifying (/ (- 1 k) 2) 3.033 * * [simplify]: iters left: 4 (5 enodes) 3.035 * * [simplify]: iters left: 3 (23 enodes) 3.039 * * [simplify]: iters left: 2 (32 enodes) 3.049 * * [simplify]: Extracting #0: cost 1 inf + 0 3.049 * * [simplify]: Extracting #1: cost 6 inf + 0 3.049 * * [simplify]: Extracting #2: cost 9 inf + 2 3.049 * * [simplify]: Extracting #3: cost 6 inf + 87 3.049 * * [simplify]: Extracting #4: cost 0 inf + 420 3.050 * [simplify]: Simplified to (/ (- 1 k) 2) 3.050 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 3.050 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.050 * [simplify]: Simplifying (/ 1 2) 3.050 * * [simplify]: iters left: 2 (3 enodes) 3.054 * * [simplify]: iters left: 1 (12 enodes) 3.059 * * [simplify]: Extracting #0: cost 1 inf + 0 3.059 * * [simplify]: Extracting #1: cost 0 inf + 1 3.059 * [simplify]: Simplified to 1/2 3.059 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 3.059 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.059 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 3.059 * * [simplify]: iters left: 5 (7 enodes) 3.064 * * [simplify]: iters left: 4 (32 enodes) 3.076 * * [simplify]: iters left: 3 (57 enodes) 3.094 * * [simplify]: iters left: 2 (88 enodes) 3.130 * * [simplify]: iters left: 1 (156 enodes) 3.191 * * [simplify]: Extracting #0: cost 1 inf + 0 3.191 * * [simplify]: Extracting #1: cost 13 inf + 0 3.191 * * [simplify]: Extracting #2: cost 49 inf + 2 3.192 * * [simplify]: Extracting #3: cost 80 inf + 6 3.193 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.195 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.202 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.208 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.214 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.220 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.220 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.220 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.220 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.220 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.221 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.221 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.221 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.221 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.221 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.221 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.221 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.221 * [simplify]: Simplifying (* n (* 2 PI)) 3.221 * * [simplify]: iters left: 4 (5 enodes) 3.225 * * [simplify]: iters left: 3 (19 enodes) 3.231 * * [simplify]: iters left: 2 (27 enodes) 3.239 * * [simplify]: iters left: 1 (32 enodes) 3.247 * * [simplify]: Extracting #0: cost 1 inf + 0 3.247 * * [simplify]: Extracting #1: cost 8 inf + 0 3.247 * * [simplify]: Extracting #2: cost 7 inf + 45 3.247 * * [simplify]: Extracting #3: cost 0 inf + 421 3.248 * [simplify]: Simplified to (* (* PI 2) n) 3.248 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.248 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.248 * [simplify]: Simplifying (* n (* 2 PI)) 3.248 * * [simplify]: iters left: 4 (5 enodes) 3.251 * * [simplify]: iters left: 3 (19 enodes) 3.258 * * [simplify]: iters left: 2 (27 enodes) 3.266 * * [simplify]: iters left: 1 (32 enodes) 3.277 * * [simplify]: Extracting #0: cost 1 inf + 0 3.278 * * [simplify]: Extracting #1: cost 8 inf + 0 3.278 * * [simplify]: Extracting #2: cost 7 inf + 45 3.278 * * [simplify]: Extracting #3: cost 0 inf + 421 3.278 * [simplify]: Simplified to (* (* PI 2) n) 3.278 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.278 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.279 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.279 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 3.279 * * [simplify]: iters left: 5 (8 enodes) 3.283 * * [simplify]: iters left: 4 (28 enodes) 3.292 * * [simplify]: iters left: 3 (36 enodes) 3.302 * * [simplify]: iters left: 2 (42 enodes) 3.314 * * [simplify]: Extracting #0: cost 1 inf + 0 3.314 * * [simplify]: Extracting #1: cost 8 inf + 0 3.314 * * [simplify]: Extracting #2: cost 17 inf + 0 3.314 * * [simplify]: Extracting #3: cost 12 inf + 145 3.314 * * [simplify]: Extracting #4: cost 5 inf + 1197 3.315 * * [simplify]: Extracting #5: cost 1 inf + 1925 3.315 * * [simplify]: Extracting #6: cost 0 inf + 2107 3.316 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 3.316 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.316 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.317 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 3.317 * * [simplify]: iters left: 5 (7 enodes) 3.321 * * [simplify]: iters left: 4 (26 enodes) 3.329 * * [simplify]: iters left: 3 (35 enodes) 3.339 * * [simplify]: iters left: 2 (44 enodes) 3.351 * * [simplify]: Extracting #0: cost 1 inf + 0 3.351 * * [simplify]: Extracting #1: cost 8 inf + 0 3.351 * * [simplify]: Extracting #2: cost 18 inf + 0 3.351 * * [simplify]: Extracting #3: cost 15 inf + 74 3.351 * * [simplify]: Extracting #4: cost 8 inf + 554 3.352 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.353 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 3.353 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.353 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.353 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.353 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.353 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 3.353 * * [simplify]: iters left: 6 (11 enodes) 3.362 * * [simplify]: iters left: 5 (48 enodes) 3.382 * * [simplify]: iters left: 4 (121 enodes) 3.429 * * [simplify]: iters left: 3 (348 enodes) 3.623 * * [simplify]: Extracting #0: cost 1 inf + 0 3.623 * * [simplify]: Extracting #1: cost 67 inf + 0 3.624 * * [simplify]: Extracting #2: cost 165 inf + 786 3.627 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.633 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.651 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.664 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.677 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.677 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.677 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.678 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.678 * * [simplify]: iters left: 6 (9 enodes) 3.685 * * [simplify]: iters left: 5 (45 enodes) 3.703 * * [simplify]: iters left: 4 (117 enodes) 3.767 * * [simplify]: iters left: 3 (374 enodes) 4.133 * * [simplify]: Extracting #0: cost 1 inf + 0 4.133 * * [simplify]: Extracting #1: cost 77 inf + 0 4.135 * * [simplify]: Extracting #2: cost 184 inf + 984 4.142 * * [simplify]: Extracting #3: cost 106 inf + 11690 4.165 * * [simplify]: Extracting #4: cost 6 inf + 30376 4.178 * * [simplify]: Extracting #5: cost 0 inf + 31644 4.187 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 4.187 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 4.187 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 4.187 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 4.187 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 4.188 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 4.188 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 4.188 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 4.188 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 4.188 * * [simplify]: iters left: 3 (3 enodes) 4.189 * * [simplify]: iters left: 2 (9 enodes) 4.190 * * [simplify]: Extracting #0: cost 1 inf + 0 4.190 * * [simplify]: Extracting #1: cost 3 inf + 0 4.190 * * [simplify]: Extracting #2: cost 5 inf + 0 4.190 * * [simplify]: Extracting #3: cost 4 inf + 1 4.190 * * [simplify]: Extracting #4: cost 0 inf + 405 4.190 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 4.190 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.190 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 4.190 * [simplify]: Simplifying (sqrt n) 4.190 * * [simplify]: iters left: 1 (2 enodes) 4.191 * * [simplify]: Extracting #0: cost 1 inf + 0 4.191 * * [simplify]: Extracting #1: cost 3 inf + 0 4.191 * * [simplify]: Extracting #2: cost 2 inf + 1 4.191 * * [simplify]: Extracting #3: cost 0 inf + 83 4.191 * [simplify]: Simplified to (sqrt n) 4.191 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.191 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 4.191 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 4.191 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 4.191 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 4.191 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 4.191 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.191 * * [simplify]: iters left: 6 (16 enodes) 4.196 * * [simplify]: iters left: 5 (65 enodes) 4.214 * * [simplify]: iters left: 4 (111 enodes) 4.248 * * [simplify]: iters left: 3 (294 enodes) 4.394 * * [simplify]: Extracting #0: cost 1 inf + 0 4.394 * * [simplify]: Extracting #1: cost 32 inf + 0 4.395 * * [simplify]: Extracting #2: cost 82 inf + 0 4.396 * * [simplify]: Extracting #3: cost 145 inf + 73 4.397 * * [simplify]: Extracting #4: cost 158 inf + 1797 4.402 * * [simplify]: Extracting #5: cost 56 inf + 27690 4.410 * * [simplify]: Extracting #6: cost 4 inf + 45043 4.419 * * [simplify]: Extracting #7: cost 0 inf + 46559 4.428 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.428 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 4.428 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.428 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.428 * * [simplify]: iters left: 6 (15 enodes) 4.433 * * [simplify]: iters left: 5 (63 enodes) 4.443 * * [simplify]: iters left: 4 (104 enodes) 4.472 * * [simplify]: iters left: 3 (238 enodes) 4.569 * * [simplify]: Extracting #0: cost 1 inf + 0 4.569 * * [simplify]: Extracting #1: cost 30 inf + 0 4.570 * * [simplify]: Extracting #2: cost 78 inf + 0 4.570 * * [simplify]: Extracting #3: cost 131 inf + 73 4.571 * * [simplify]: Extracting #4: cost 147 inf + 821 4.573 * * [simplify]: Extracting #5: cost 71 inf + 15644 4.582 * * [simplify]: Extracting #6: cost 4 inf + 36895 4.595 * * [simplify]: Extracting #7: cost 0 inf + 38761 4.610 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.610 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.610 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.610 * * [simplify]: iters left: 6 (14 enodes) 4.618 * * [simplify]: iters left: 5 (62 enodes) 4.637 * * [simplify]: iters left: 4 (111 enodes) 4.659 * * [simplify]: iters left: 3 (223 enodes) 4.713 * * [simplify]: Extracting #0: cost 1 inf + 0 4.714 * * [simplify]: Extracting #1: cost 19 inf + 0 4.714 * * [simplify]: Extracting #2: cost 67 inf + 0 4.715 * * [simplify]: Extracting #3: cost 123 inf + 2 4.716 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.723 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.736 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.749 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.749 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.749 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.749 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.749 * * [simplify]: iters left: 6 (14 enodes) 4.757 * * [simplify]: iters left: 5 (62 enodes) 4.778 * * [simplify]: iters left: 4 (111 enodes) 4.810 * * [simplify]: iters left: 3 (223 enodes) 4.892 * * [simplify]: Extracting #0: cost 1 inf + 0 4.892 * * [simplify]: Extracting #1: cost 19 inf + 0 4.893 * * [simplify]: Extracting #2: cost 67 inf + 0 4.894 * * [simplify]: Extracting #3: cost 123 inf + 2 4.895 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.905 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.913 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.919 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.919 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.920 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.920 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.920 * * [simplify]: iters left: 6 (14 enodes) 4.925 * * [simplify]: iters left: 5 (61 enodes) 4.936 * * [simplify]: iters left: 4 (111 enodes) 4.954 * * [simplify]: iters left: 3 (218 enodes) 5.013 * * [simplify]: Extracting #0: cost 1 inf + 0 5.013 * * [simplify]: Extracting #1: cost 20 inf + 0 5.013 * * [simplify]: Extracting #2: cost 94 inf + 0 5.014 * * [simplify]: Extracting #3: cost 167 inf + 2 5.015 * * [simplify]: Extracting #4: cost 164 inf + 1228 5.020 * * [simplify]: Extracting #5: cost 76 inf + 17725 5.026 * * [simplify]: Extracting #6: cost 9 inf + 35809 5.033 * * [simplify]: Extracting #7: cost 0 inf + 40227 5.040 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 5.040 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 5.040 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 5.040 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 5.040 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 5.040 * [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))) 5.040 * * [simplify]: iters left: 6 (16 enodes) 5.045 * * [simplify]: iters left: 5 (72 enodes) 5.064 * * [simplify]: iters left: 4 (165 enodes) 5.129 * * [simplify]: iters left: 3 (474 enodes) 5.489 * * [simplify]: Extracting #0: cost 1 inf + 0 5.490 * * [simplify]: Extracting #1: cost 172 inf + 0 5.491 * * [simplify]: Extracting #2: cost 449 inf + 1 5.494 * * [simplify]: Extracting #3: cost 500 inf + 248 5.496 * * [simplify]: Extracting #4: cost 476 inf + 4785 5.507 * * [simplify]: Extracting #5: cost 302 inf + 101232 5.579 * * [simplify]: Extracting #6: cost 26 inf + 307299 5.649 * * [simplify]: Extracting #7: cost 0 inf + 323493 5.717 * * [simplify]: Extracting #8: cost 0 inf + 323103 5.788 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.788 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.788 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.788 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.788 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.788 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.788 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.789 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.789 * * [simplify]: iters left: 6 (11 enodes) 5.792 * * [simplify]: iters left: 5 (46 enodes) 5.809 * * [simplify]: iters left: 4 (79 enodes) 5.834 * * [simplify]: iters left: 3 (135 enodes) 5.862 * * [simplify]: iters left: 2 (270 enodes) 5.940 * * [simplify]: Extracting #0: cost 1 inf + 0 5.940 * * [simplify]: Extracting #1: cost 56 inf + 0 5.940 * * [simplify]: Extracting #2: cost 151 inf + 0 5.941 * * [simplify]: Extracting #3: cost 211 inf + 3 5.943 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.955 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.972 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.997 * * [simplify]: Extracting #7: cost 0 inf + 103841 6.024 * * [simplify]: Extracting #8: cost 0 inf + 103639 6.050 * * [simplify]: Extracting #9: cost 0 inf + 103517 6.067 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 6.067 * [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))))) 6.067 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 6.067 * * [simplify]: iters left: 6 (11 enodes) 6.072 * * [simplify]: iters left: 5 (45 enodes) 6.080 * * [simplify]: iters left: 4 (68 enodes) 6.102 * * [simplify]: iters left: 3 (110 enodes) 6.128 * * [simplify]: iters left: 2 (217 enodes) 6.206 * * [simplify]: iters left: 1 (456 enodes) 6.434 * * [simplify]: Extracting #0: cost 1 inf + 0 6.434 * * [simplify]: Extracting #1: cost 44 inf + 0 6.435 * * [simplify]: Extracting #2: cost 133 inf + 0 6.435 * * [simplify]: Extracting #3: cost 211 inf + 3 6.436 * * [simplify]: Extracting #4: cost 209 inf + 1047 6.439 * * [simplify]: Extracting #5: cost 156 inf + 8593 6.446 * * [simplify]: Extracting #6: cost 83 inf + 43654 6.474 * * [simplify]: Extracting #7: cost 10 inf + 107740 6.507 * * [simplify]: Extracting #8: cost 0 inf + 116394 6.541 * * [simplify]: Extracting #9: cost 0 inf + 115425 6.559 * * [simplify]: Extracting #10: cost 0 inf + 114468 6.588 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.588 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 6.589 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 6.589 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.589 * * [simplify]: iters left: 6 (11 enodes) 6.595 * * [simplify]: iters left: 5 (45 enodes) 6.611 * * [simplify]: iters left: 4 (72 enodes) 6.634 * * [simplify]: iters left: 3 (113 enodes) 6.674 * * [simplify]: iters left: 2 (202 enodes) 6.730 * * [simplify]: iters left: 1 (423 enodes) 6.911 * * [simplify]: Extracting #0: cost 1 inf + 0 6.912 * * [simplify]: Extracting #1: cost 45 inf + 0 6.912 * * [simplify]: Extracting #2: cost 135 inf + 0 6.913 * * [simplify]: Extracting #3: cost 200 inf + 4 6.914 * * [simplify]: Extracting #4: cost 178 inf + 4405 6.919 * * [simplify]: Extracting #5: cost 89 inf + 41805 6.932 * * [simplify]: Extracting #6: cost 6 inf + 96015 6.964 * * [simplify]: Extracting #7: cost 0 inf + 93673 6.984 * * [simplify]: Extracting #8: cost 0 inf + 88687 7.020 * * [simplify]: Extracting #9: cost 0 inf + 87603 7.039 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 7.040 * [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))))) 7.040 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 7.040 * * [simplify]: iters left: 6 (11 enodes) 7.043 * * [simplify]: iters left: 5 (45 enodes) 7.051 * * [simplify]: iters left: 4 (68 enodes) 7.063 * * [simplify]: iters left: 3 (110 enodes) 7.094 * * [simplify]: iters left: 2 (217 enodes) 7.157 * * [simplify]: iters left: 1 (456 enodes) 7.331 * * [simplify]: Extracting #0: cost 1 inf + 0 7.331 * * [simplify]: Extracting #1: cost 44 inf + 0 7.331 * * [simplify]: Extracting #2: cost 133 inf + 0 7.332 * * [simplify]: Extracting #3: cost 211 inf + 3 7.333 * * [simplify]: Extracting #4: cost 209 inf + 1127 7.336 * * [simplify]: Extracting #5: cost 156 inf + 8673 7.342 * * [simplify]: Extracting #6: cost 83 inf + 43734 7.361 * * [simplify]: Extracting #7: cost 10 inf + 107820 7.385 * * [simplify]: Extracting #8: cost 0 inf + 116474 7.403 * * [simplify]: Extracting #9: cost 0 inf + 115505 7.436 * * [simplify]: Extracting #10: cost 0 inf + 114548 7.470 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.471 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 7.471 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 7.471 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.472 * * [simplify]: iters left: 6 (10 enodes) 7.478 * * [simplify]: iters left: 5 (41 enodes) 7.492 * * [simplify]: iters left: 4 (68 enodes) 7.517 * * [simplify]: iters left: 3 (109 enodes) 7.554 * * [simplify]: iters left: 2 (194 enodes) 7.600 * * [simplify]: iters left: 1 (414 enodes) 7.765 * * [simplify]: Extracting #0: cost 1 inf + 0 7.765 * * [simplify]: Extracting #1: cost 45 inf + 0 7.766 * * [simplify]: Extracting #2: cost 141 inf + 0 7.767 * * [simplify]: Extracting #3: cost 206 inf + 4 7.770 * * [simplify]: Extracting #4: cost 178 inf + 9345 7.786 * * [simplify]: Extracting #5: cost 101 inf + 32669 7.812 * * [simplify]: Extracting #6: cost 15 inf + 90305 7.844 * * [simplify]: Extracting #7: cost 0 inf + 100314 7.868 * * [simplify]: Extracting #8: cost 0 inf + 100143 7.884 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.884 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.884 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.884 * * [simplify]: iters left: 6 (11 enodes) 7.888 * * [simplify]: iters left: 5 (45 enodes) 7.898 * * [simplify]: iters left: 4 (68 enodes) 7.923 * * [simplify]: iters left: 3 (110 enodes) 7.956 * * [simplify]: iters left: 2 (217 enodes) 8.023 * * [simplify]: iters left: 1 (456 enodes) 8.194 * * [simplify]: Extracting #0: cost 1 inf + 0 8.194 * * [simplify]: Extracting #1: cost 44 inf + 0 8.201 * * [simplify]: Extracting #2: cost 133 inf + 0 8.202 * * [simplify]: Extracting #3: cost 211 inf + 3 8.205 * * [simplify]: Extracting #4: cost 209 inf + 967 8.210 * * [simplify]: Extracting #5: cost 156 inf + 8433 8.222 * * [simplify]: Extracting #6: cost 83 inf + 42774 8.252 * * [simplify]: Extracting #7: cost 10 inf + 105380 8.281 * * [simplify]: Extracting #8: cost 0 inf + 113674 8.298 * * [simplify]: Extracting #9: cost 0 inf + 112705 8.323 * * [simplify]: Extracting #10: cost 0 inf + 111748 8.358 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.358 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 8.358 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 8.359 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.359 * * [simplify]: iters left: 6 (9 enodes) 8.365 * * [simplify]: iters left: 5 (38 enodes) 8.378 * * [simplify]: iters left: 4 (63 enodes) 8.398 * * [simplify]: iters left: 3 (100 enodes) 8.428 * * [simplify]: iters left: 2 (175 enodes) 8.468 * * [simplify]: iters left: 1 (360 enodes) 8.649 * * [simplify]: Extracting #0: cost 1 inf + 0 8.649 * * [simplify]: Extracting #1: cost 52 inf + 0 8.649 * * [simplify]: Extracting #2: cost 150 inf + 3 8.650 * * [simplify]: Extracting #3: cost 190 inf + 8 8.651 * * [simplify]: Extracting #4: cost 167 inf + 1999 8.656 * * [simplify]: Extracting #5: cost 109 inf + 14534 8.676 * * [simplify]: Extracting #6: cost 11 inf + 80954 8.701 * * [simplify]: Extracting #7: cost 0 inf + 87093 8.728 * * [simplify]: Extracting #8: cost 0 inf + 85003 8.755 * * [simplify]: Extracting #9: cost 0 inf + 84872 8.782 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.782 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.782 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.782 * * [simplify]: iters left: 6 (10 enodes) 8.788 * * [simplify]: iters left: 5 (42 enodes) 8.807 * * [simplify]: iters left: 4 (65 enodes) 8.819 * * [simplify]: iters left: 3 (104 enodes) 8.840 * * [simplify]: iters left: 2 (206 enodes) 8.913 * * [simplify]: iters left: 1 (433 enodes) 9.074 * * [simplify]: Extracting #0: cost 1 inf + 0 9.075 * * [simplify]: Extracting #1: cost 45 inf + 0 9.075 * * [simplify]: Extracting #2: cost 143 inf + 0 9.077 * * [simplify]: Extracting #3: cost 213 inf + 45 9.079 * * [simplify]: Extracting #4: cost 203 inf + 1718 9.086 * * [simplify]: Extracting #5: cost 130 inf + 20716 9.101 * * [simplify]: Extracting #6: cost 18 inf + 99664 9.131 * * [simplify]: Extracting #7: cost 0 inf + 106929 9.183 * * [simplify]: Extracting #8: cost 0 inf + 106247 9.220 * * [simplify]: Extracting #9: cost 0 inf + 105867 9.259 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.259 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 9.259 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.259 * * [simplify]: iters left: 6 (10 enodes) 9.266 * * [simplify]: iters left: 5 (41 enodes) 9.280 * * [simplify]: iters left: 4 (68 enodes) 9.303 * * [simplify]: iters left: 3 (109 enodes) 9.342 * * [simplify]: iters left: 2 (194 enodes) 9.408 * * [simplify]: iters left: 1 (414 enodes) 9.594 * * [simplify]: Extracting #0: cost 1 inf + 0 9.594 * * [simplify]: Extracting #1: cost 45 inf + 0 9.595 * * [simplify]: Extracting #2: cost 141 inf + 0 9.596 * * [simplify]: Extracting #3: cost 206 inf + 4 9.598 * * [simplify]: Extracting #4: cost 178 inf + 9345 9.604 * * [simplify]: Extracting #5: cost 101 inf + 32669 9.617 * * [simplify]: Extracting #6: cost 15 inf + 90305 9.640 * * [simplify]: Extracting #7: cost 0 inf + 100314 9.662 * * [simplify]: Extracting #8: cost 0 inf + 100143 9.682 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.682 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 9.682 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.682 * * [simplify]: iters left: 6 (11 enodes) 9.686 * * [simplify]: iters left: 5 (45 enodes) 9.694 * * [simplify]: iters left: 4 (68 enodes) 9.705 * * [simplify]: iters left: 3 (110 enodes) 9.727 * * [simplify]: iters left: 2 (217 enodes) 9.813 * * [simplify]: iters left: 1 (456 enodes) 10.070 * * [simplify]: Extracting #0: cost 1 inf + 0 10.071 * * [simplify]: Extracting #1: cost 44 inf + 0 10.071 * * [simplify]: Extracting #2: cost 133 inf + 0 10.073 * * [simplify]: Extracting #3: cost 211 inf + 3 10.075 * * [simplify]: Extracting #4: cost 209 inf + 967 10.080 * * [simplify]: Extracting #5: cost 156 inf + 8433 10.093 * * [simplify]: Extracting #6: cost 83 inf + 42774 10.107 * * [simplify]: Extracting #7: cost 10 inf + 105380 10.123 * * [simplify]: Extracting #8: cost 0 inf + 113674 10.159 * * [simplify]: Extracting #9: cost 0 inf + 112705 10.176 * * [simplify]: Extracting #10: cost 0 inf + 111748 10.198 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 10.198 * [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))))) 10.198 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 10.199 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 10.199 * * [simplify]: iters left: 6 (8 enodes) 10.204 * * [simplify]: iters left: 5 (33 enodes) 10.216 * * [simplify]: iters left: 4 (56 enodes) 10.236 * * [simplify]: iters left: 3 (98 enodes) 10.280 * * [simplify]: iters left: 2 (203 enodes) 10.337 * * [simplify]: iters left: 1 (441 enodes) 10.559 * * [simplify]: Extracting #0: cost 1 inf + 0 10.560 * * [simplify]: Extracting #1: cost 49 inf + 0 10.561 * * [simplify]: Extracting #2: cost 157 inf + 3 10.562 * * [simplify]: Extracting #3: cost 212 inf + 8 10.564 * * [simplify]: Extracting #4: cost 198 inf + 1133 10.570 * * [simplify]: Extracting #5: cost 127 inf + 13703 10.590 * * [simplify]: Extracting #6: cost 35 inf + 74586 10.625 * * [simplify]: Extracting #7: cost 0 inf + 99668 10.648 * * [simplify]: Extracting #8: cost 0 inf + 99308 10.674 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.675 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.675 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.675 * * [simplify]: iters left: 6 (10 enodes) 10.681 * * [simplify]: iters left: 5 (42 enodes) 10.696 * * [simplify]: iters left: 4 (65 enodes) 10.708 * * [simplify]: iters left: 3 (104 enodes) 10.737 * * [simplify]: iters left: 2 (206 enodes) 10.784 * * [simplify]: iters left: 1 (433 enodes) 10.966 * * [simplify]: Extracting #0: cost 1 inf + 0 10.966 * * [simplify]: Extracting #1: cost 45 inf + 0 10.966 * * [simplify]: Extracting #2: cost 143 inf + 0 10.967 * * [simplify]: Extracting #3: cost 213 inf + 45 10.969 * * [simplify]: Extracting #4: cost 203 inf + 1718 10.972 * * [simplify]: Extracting #5: cost 130 inf + 20716 10.988 * * [simplify]: Extracting #6: cost 18 inf + 99664 11.032 * * [simplify]: Extracting #7: cost 0 inf + 106929 11.078 * * [simplify]: Extracting #8: cost 0 inf + 106247 11.108 * * [simplify]: Extracting #9: cost 0 inf + 105867 11.159 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 11.159 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 11.159 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 11.159 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 11.160 * * [simplify]: iters left: 6 (16 enodes) 11.168 * * [simplify]: iters left: 5 (69 enodes) 11.192 * * [simplify]: iters left: 4 (117 enodes) 11.228 * * [simplify]: iters left: 3 (164 enodes) 11.281 * * [simplify]: iters left: 2 (236 enodes) 11.338 * * [simplify]: iters left: 1 (387 enodes) 11.456 * * [simplify]: Extracting #0: cost 1 inf + 0 11.456 * * [simplify]: Extracting #1: cost 11 inf + 0 11.456 * * [simplify]: Extracting #2: cost 22 inf + 0 11.456 * * [simplify]: Extracting #3: cost 48 inf + 0 11.457 * * [simplify]: Extracting #4: cost 120 inf + 2 11.458 * * [simplify]: Extracting #5: cost 145 inf + 1787 11.464 * * [simplify]: Extracting #6: cost 89 inf + 14823 11.475 * * [simplify]: Extracting #7: cost 35 inf + 37040 11.496 * * [simplify]: Extracting #8: cost 4 inf + 64421 11.520 * * [simplify]: Extracting #9: cost 0 inf + 66215 11.544 * * [simplify]: Extracting #10: cost 0 inf + 65834 11.568 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 11.568 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.569 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.569 * * [simplify]: iters left: 6 (14 enodes) 11.576 * * [simplify]: iters left: 5 (57 enodes) 11.595 * * [simplify]: iters left: 4 (90 enodes) 11.609 * * [simplify]: iters left: 3 (127 enodes) 11.630 * * [simplify]: iters left: 2 (195 enodes) 11.676 * * [simplify]: iters left: 1 (356 enodes) 11.831 * * [simplify]: Extracting #0: cost 1 inf + 0 11.831 * * [simplify]: Extracting #1: cost 4 inf + 0 11.831 * * [simplify]: Extracting #2: cost 8 inf + 0 11.831 * * [simplify]: Extracting #3: cost 34 inf + 0 11.832 * * [simplify]: Extracting #4: cost 107 inf + 164 11.833 * * [simplify]: Extracting #5: cost 148 inf + 585 11.836 * * [simplify]: Extracting #6: cost 104 inf + 6057 11.844 * * [simplify]: Extracting #7: cost 40 inf + 28932 11.861 * * [simplify]: Extracting #8: cost 3 inf + 60785 11.881 * * [simplify]: Extracting #9: cost 0 inf + 62323 11.901 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.901 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 11.901 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 11.902 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.902 * * [simplify]: iters left: 6 (16 enodes) 11.915 * * [simplify]: iters left: 5 (66 enodes) 11.937 * * [simplify]: iters left: 4 (103 enodes) 11.954 * * [simplify]: iters left: 3 (142 enodes) 11.981 * * [simplify]: iters left: 2 (210 enodes) 12.049 * * [simplify]: iters left: 1 (370 enodes) 12.196 * * [simplify]: Extracting #0: cost 1 inf + 0 12.196 * * [simplify]: Extracting #1: cost 7 inf + 0 12.197 * * [simplify]: Extracting #2: cost 15 inf + 0 12.197 * * [simplify]: Extracting #3: cost 43 inf + 0 12.197 * * [simplify]: Extracting #4: cost 113 inf + 204 12.198 * * [simplify]: Extracting #5: cost 144 inf + 990 12.199 * * [simplify]: Extracting #6: cost 110 inf + 4920 12.203 * * [simplify]: Extracting #7: cost 55 inf + 21303 12.213 * * [simplify]: Extracting #8: cost 13 inf + 52139 12.233 * * [simplify]: Extracting #9: cost 0 inf + 63233 12.256 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 12.256 * [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))))) 12.257 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 12.257 * * [simplify]: iters left: 6 (14 enodes) 12.265 * * [simplify]: iters left: 5 (57 enodes) 12.284 * * [simplify]: iters left: 4 (90 enodes) 12.313 * * [simplify]: iters left: 3 (127 enodes) 12.354 * * [simplify]: iters left: 2 (195 enodes) 12.416 * * [simplify]: iters left: 1 (356 enodes) 12.569 * * [simplify]: Extracting #0: cost 1 inf + 0 12.569 * * [simplify]: Extracting #1: cost 4 inf + 0 12.569 * * [simplify]: Extracting #2: cost 8 inf + 0 12.570 * * [simplify]: Extracting #3: cost 34 inf + 0 12.570 * * [simplify]: Extracting #4: cost 107 inf + 204 12.571 * * [simplify]: Extracting #5: cost 148 inf + 665 12.572 * * [simplify]: Extracting #6: cost 104 inf + 6137 12.577 * * [simplify]: Extracting #7: cost 40 inf + 29012 12.587 * * [simplify]: Extracting #8: cost 3 inf + 60865 12.612 * * [simplify]: Extracting #9: cost 0 inf + 62403 12.633 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.633 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 12.633 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 12.633 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.634 * * [simplify]: iters left: 6 (15 enodes) 12.640 * * [simplify]: iters left: 5 (62 enodes) 12.650 * * [simplify]: iters left: 4 (99 enodes) 12.666 * * [simplify]: iters left: 3 (142 enodes) 12.691 * * [simplify]: iters left: 2 (215 enodes) 12.747 * * [simplify]: iters left: 1 (364 enodes) 12.868 * * [simplify]: Extracting #0: cost 1 inf + 0 12.868 * * [simplify]: Extracting #1: cost 7 inf + 0 12.868 * * [simplify]: Extracting #2: cost 14 inf + 0 12.868 * * [simplify]: Extracting #3: cost 41 inf + 0 12.868 * * [simplify]: Extracting #4: cost 108 inf + 124 12.869 * * [simplify]: Extracting #5: cost 134 inf + 713 12.871 * * [simplify]: Extracting #6: cost 89 inf + 7865 12.881 * * [simplify]: Extracting #7: cost 23 inf + 42624 12.890 * * [simplify]: Extracting #8: cost 0 inf + 60960 12.901 * * [simplify]: Extracting #9: cost 0 inf + 60349 12.919 * * [simplify]: Extracting #10: cost 0 inf + 60309 12.937 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.937 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 12.938 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.938 * * [simplify]: iters left: 6 (14 enodes) 12.946 * * [simplify]: iters left: 5 (57 enodes) 12.965 * * [simplify]: iters left: 4 (90 enodes) 12.980 * * [simplify]: iters left: 3 (127 enodes) 13.013 * * [simplify]: iters left: 2 (195 enodes) 13.080 * * [simplify]: iters left: 1 (356 enodes) 13.224 * * [simplify]: Extracting #0: cost 1 inf + 0 13.224 * * [simplify]: Extracting #1: cost 4 inf + 0 13.225 * * [simplify]: Extracting #2: cost 8 inf + 0 13.225 * * [simplify]: Extracting #3: cost 34 inf + 0 13.225 * * [simplify]: Extracting #4: cost 107 inf + 124 13.226 * * [simplify]: Extracting #5: cost 148 inf + 505 13.229 * * [simplify]: Extracting #6: cost 104 inf + 5977 13.238 * * [simplify]: Extracting #7: cost 40 inf + 28772 13.256 * * [simplify]: Extracting #8: cost 3 inf + 60625 13.270 * * [simplify]: Extracting #9: cost 0 inf + 62163 13.280 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.280 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 13.281 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 13.281 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 13.281 * * [simplify]: iters left: 6 (14 enodes) 13.286 * * [simplify]: iters left: 5 (59 enodes) 13.296 * * [simplify]: iters left: 4 (96 enodes) 13.329 * * [simplify]: iters left: 3 (136 enodes) 13.362 * * [simplify]: iters left: 2 (205 enodes) 13.400 * * [simplify]: iters left: 1 (370 enodes) 13.504 * * [simplify]: Extracting #0: cost 1 inf + 0 13.504 * * [simplify]: Extracting #1: cost 5 inf + 0 13.504 * * [simplify]: Extracting #2: cost 7 inf + 1 13.504 * * [simplify]: Extracting #3: cost 31 inf + 1 13.504 * * [simplify]: Extracting #4: cost 103 inf + 2 13.505 * * [simplify]: Extracting #5: cost 150 inf + 218 13.506 * * [simplify]: Extracting #6: cost 145 inf + 809 13.508 * * [simplify]: Extracting #7: cost 87 inf + 10304 13.516 * * [simplify]: Extracting #8: cost 25 inf + 34558 13.529 * * [simplify]: Extracting #9: cost 0 inf + 51677 13.543 * * [simplify]: Extracting #10: cost 0 inf + 51597 13.556 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.556 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.556 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.556 * * [simplify]: iters left: 6 (13 enodes) 13.562 * * [simplify]: iters left: 5 (54 enodes) 13.571 * * [simplify]: iters left: 4 (87 enodes) 13.588 * * [simplify]: iters left: 3 (128 enodes) 13.611 * * [simplify]: iters left: 2 (197 enodes) 13.669 * * [simplify]: iters left: 1 (354 enodes) 13.788 * * [simplify]: Extracting #0: cost 1 inf + 0 13.788 * * [simplify]: Extracting #1: cost 4 inf + 0 13.788 * * [simplify]: Extracting #2: cost 8 inf + 0 13.788 * * [simplify]: Extracting #3: cost 28 inf + 83 13.789 * * [simplify]: Extracting #4: cost 105 inf + 84 13.790 * * [simplify]: Extracting #5: cost 139 inf + 343 13.793 * * [simplify]: Extracting #6: cost 97 inf + 5103 13.803 * * [simplify]: Extracting #7: cost 34 inf + 36313 13.822 * * [simplify]: Extracting #8: cost 1 inf + 60074 13.841 * * [simplify]: Extracting #9: cost 0 inf + 60197 13.861 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 13.861 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 13.861 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 13.861 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.862 * * [simplify]: iters left: 6 (15 enodes) 13.870 * * [simplify]: iters left: 5 (62 enodes) 13.895 * * [simplify]: iters left: 4 (99 enodes) 13.920 * * [simplify]: iters left: 3 (142 enodes) 13.947 * * [simplify]: iters left: 2 (215 enodes) 13.999 * * [simplify]: iters left: 1 (364 enodes) 14.154 * * [simplify]: Extracting #0: cost 1 inf + 0 14.154 * * [simplify]: Extracting #1: cost 7 inf + 0 14.154 * * [simplify]: Extracting #2: cost 14 inf + 0 14.154 * * [simplify]: Extracting #3: cost 41 inf + 0 14.155 * * [simplify]: Extracting #4: cost 108 inf + 124 14.155 * * [simplify]: Extracting #5: cost 134 inf + 713 14.157 * * [simplify]: Extracting #6: cost 89 inf + 7865 14.163 * * [simplify]: Extracting #7: cost 23 inf + 42624 14.173 * * [simplify]: Extracting #8: cost 0 inf + 60960 14.188 * * [simplify]: Extracting #9: cost 0 inf + 60349 14.199 * * [simplify]: Extracting #10: cost 0 inf + 60309 14.602 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 14.603 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.603 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.603 * * [simplify]: iters left: 6 (14 enodes) 14.611 * * [simplify]: iters left: 5 (57 enodes) 14.623 * * [simplify]: iters left: 4 (90 enodes) 14.638 * * [simplify]: iters left: 3 (127 enodes) 14.658 * * [simplify]: iters left: 2 (195 enodes) 14.698 * * [simplify]: iters left: 1 (356 enodes) 14.807 * * [simplify]: Extracting #0: cost 1 inf + 0 14.807 * * [simplify]: Extracting #1: cost 4 inf + 0 14.807 * * [simplify]: Extracting #2: cost 8 inf + 0 14.807 * * [simplify]: Extracting #3: cost 34 inf + 0 14.808 * * [simplify]: Extracting #4: cost 107 inf + 124 14.808 * * [simplify]: Extracting #5: cost 148 inf + 505 14.810 * * [simplify]: Extracting #6: cost 104 inf + 5977 14.814 * * [simplify]: Extracting #7: cost 40 inf + 28772 14.830 * * [simplify]: Extracting #8: cost 3 inf + 60625 14.845 * * [simplify]: Extracting #9: cost 0 inf + 62163 14.855 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.855 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 14.855 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 14.856 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.856 * * [simplify]: iters left: 6 (13 enodes) 14.860 * * [simplify]: iters left: 5 (54 enodes) 14.871 * * [simplify]: iters left: 4 (95 enodes) 14.895 * * [simplify]: iters left: 3 (137 enodes) 14.927 * * [simplify]: iters left: 2 (206 enodes) 14.985 * * [simplify]: iters left: 1 (362 enodes) 15.105 * * [simplify]: Extracting #0: cost 1 inf + 0 15.105 * * [simplify]: Extracting #1: cost 5 inf + 0 15.105 * * [simplify]: Extracting #2: cost 7 inf + 1 15.105 * * [simplify]: Extracting #3: cost 32 inf + 1 15.105 * * [simplify]: Extracting #4: cost 110 inf + 2 15.106 * * [simplify]: Extracting #5: cost 158 inf + 176 15.107 * * [simplify]: Extracting #6: cost 152 inf + 519 15.109 * * [simplify]: Extracting #7: cost 101 inf + 8278 15.122 * * [simplify]: Extracting #8: cost 36 inf + 29809 15.146 * * [simplify]: Extracting #9: cost 0 inf + 59743 15.167 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 15.167 * [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)))) 15.168 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 15.168 * * [simplify]: iters left: 6 (13 enodes) 15.175 * * [simplify]: iters left: 5 (54 enodes) 15.193 * * [simplify]: iters left: 4 (87 enodes) 15.213 * * [simplify]: iters left: 3 (128 enodes) 15.234 * * [simplify]: iters left: 2 (197 enodes) 15.293 * * [simplify]: iters left: 1 (354 enodes) 15.387 * * [simplify]: Extracting #0: cost 1 inf + 0 15.387 * * [simplify]: Extracting #1: cost 4 inf + 0 15.387 * * [simplify]: Extracting #2: cost 8 inf + 0 15.387 * * [simplify]: Extracting #3: cost 28 inf + 83 15.387 * * [simplify]: Extracting #4: cost 105 inf + 84 15.388 * * [simplify]: Extracting #5: cost 139 inf + 343 15.389 * * [simplify]: Extracting #6: cost 97 inf + 5103 15.394 * * [simplify]: Extracting #7: cost 34 inf + 36313 15.407 * * [simplify]: Extracting #8: cost 1 inf + 60074 15.416 * * [simplify]: Extracting #9: cost 0 inf + 60197 15.426 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 15.426 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 15.427 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 15.427 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.427 * * [simplify]: iters left: 6 (15 enodes) 15.431 * * [simplify]: iters left: 5 (62 enodes) 15.441 * * [simplify]: iters left: 4 (98 enodes) 15.456 * * [simplify]: iters left: 3 (134 enodes) 15.479 * * [simplify]: iters left: 2 (202 enodes) 15.545 * * [simplify]: iters left: 1 (362 enodes) 15.676 * * [simplify]: Extracting #0: cost 1 inf + 0 15.676 * * [simplify]: Extracting #1: cost 6 inf + 0 15.677 * * [simplify]: Extracting #2: cost 13 inf + 0 15.677 * * [simplify]: Extracting #3: cost 43 inf + 0 15.677 * * [simplify]: Extracting #4: cost 123 inf + 2 15.678 * * [simplify]: Extracting #5: cost 143 inf + 1737 15.680 * * [simplify]: Extracting #6: cost 78 inf + 14117 15.689 * * [simplify]: Extracting #7: cost 41 inf + 26321 15.706 * * [simplify]: Extracting #8: cost 0 inf + 58201 15.724 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.724 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.724 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.724 * * [simplify]: iters left: 6 (14 enodes) 15.728 * * [simplify]: iters left: 5 (57 enodes) 15.738 * * [simplify]: iters left: 4 (91 enodes) 15.753 * * [simplify]: iters left: 3 (127 enodes) 15.786 * * [simplify]: iters left: 2 (195 enodes) 15.832 * * [simplify]: iters left: 1 (354 enodes) 15.954 * * [simplify]: Extracting #0: cost 1 inf + 0 15.954 * * [simplify]: Extracting #1: cost 4 inf + 0 15.954 * * [simplify]: Extracting #2: cost 9 inf + 0 15.954 * * [simplify]: Extracting #3: cost 36 inf + 0 15.955 * * [simplify]: Extracting #4: cost 113 inf + 164 15.956 * * [simplify]: Extracting #5: cost 137 inf + 711 15.961 * * [simplify]: Extracting #6: cost 71 inf + 16363 15.980 * * [simplify]: Extracting #7: cost 10 inf + 50147 15.998 * * [simplify]: Extracting #8: cost 0 inf + 57814 16.008 * * [simplify]: Extracting #9: cost 0 inf + 57305 16.018 * * [simplify]: Extracting #10: cost 0 inf + 57095 16.035 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 16.035 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 16.035 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 16.035 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 16.036 * * [simplify]: iters left: 6 (15 enodes) 16.044 * * [simplify]: iters left: 5 (61 enodes) 16.055 * * [simplify]: iters left: 4 (95 enodes) 16.070 * * [simplify]: iters left: 3 (131 enodes) 16.105 * * [simplify]: iters left: 2 (199 enodes) 16.166 * * [simplify]: iters left: 1 (362 enodes) 16.299 * * [simplify]: Extracting #0: cost 1 inf + 0 16.299 * * [simplify]: Extracting #1: cost 4 inf + 0 16.300 * * [simplify]: Extracting #2: cost 10 inf + 0 16.300 * * [simplify]: Extracting #3: cost 41 inf + 0 16.300 * * [simplify]: Extracting #4: cost 124 inf + 325 16.301 * * [simplify]: Extracting #5: cost 146 inf + 2066 16.303 * * [simplify]: Extracting #6: cost 88 inf + 11216 16.307 * * [simplify]: Extracting #7: cost 59 inf + 18921 16.320 * * [simplify]: Extracting #8: cost 20 inf + 50076 16.339 * * [simplify]: Extracting #9: cost 0 inf + 68061 16.358 * * [simplify]: Extracting #10: cost 0 inf + 67850 16.378 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.378 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.378 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.378 * * [simplify]: iters left: 6 (14 enodes) 16.387 * * [simplify]: iters left: 5 (57 enodes) 16.406 * * [simplify]: iters left: 4 (91 enodes) 16.430 * * [simplify]: iters left: 3 (127 enodes) 16.453 * * [simplify]: iters left: 2 (195 enodes) 16.523 * * [simplify]: iters left: 1 (354 enodes) 16.629 * * [simplify]: Extracting #0: cost 1 inf + 0 16.629 * * [simplify]: Extracting #1: cost 4 inf + 0 16.629 * * [simplify]: Extracting #2: cost 9 inf + 0 16.629 * * [simplify]: Extracting #3: cost 36 inf + 0 16.630 * * [simplify]: Extracting #4: cost 113 inf + 204 16.631 * * [simplify]: Extracting #5: cost 137 inf + 791 16.636 * * [simplify]: Extracting #6: cost 71 inf + 16443 16.644 * * [simplify]: Extracting #7: cost 10 inf + 50227 16.654 * * [simplify]: Extracting #8: cost 0 inf + 57894 16.670 * * [simplify]: Extracting #9: cost 0 inf + 57385 16.680 * * [simplify]: Extracting #10: cost 0 inf + 57175 16.692 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.692 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.692 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 16.693 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.693 * * [simplify]: iters left: 6 (14 enodes) 16.697 * * [simplify]: iters left: 5 (57 enodes) 16.714 * * [simplify]: iters left: 4 (91 enodes) 16.730 * * [simplify]: iters left: 3 (127 enodes) 16.755 * * [simplify]: iters left: 2 (195 enodes) 16.803 * * [simplify]: iters left: 1 (354 enodes) 16.935 * * [simplify]: Extracting #0: cost 1 inf + 0 16.935 * * [simplify]: Extracting #1: cost 4 inf + 0 16.935 * * [simplify]: Extracting #2: cost 9 inf + 0 16.935 * * [simplify]: Extracting #3: cost 36 inf + 0 16.936 * * [simplify]: Extracting #4: cost 113 inf + 124 16.937 * * [simplify]: Extracting #5: cost 137 inf + 631 16.939 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.951 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.963 * * [simplify]: Extracting #8: cost 0 inf + 57654 16.977 * * [simplify]: Extracting #9: cost 0 inf + 57145 16.997 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.007 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.007 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.007 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.007 * * [simplify]: iters left: 6 (14 enodes) 17.011 * * [simplify]: iters left: 5 (57 enodes) 17.022 * * [simplify]: iters left: 4 (91 enodes) 17.036 * * [simplify]: iters left: 3 (127 enodes) 17.071 * * [simplify]: iters left: 2 (195 enodes) 17.118 * * [simplify]: iters left: 1 (354 enodes) 17.251 * * [simplify]: Extracting #0: cost 1 inf + 0 17.251 * * [simplify]: Extracting #1: cost 4 inf + 0 17.251 * * [simplify]: Extracting #2: cost 9 inf + 0 17.252 * * [simplify]: Extracting #3: cost 36 inf + 0 17.252 * * [simplify]: Extracting #4: cost 113 inf + 124 17.253 * * [simplify]: Extracting #5: cost 137 inf + 631 17.255 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.263 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.277 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.287 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.302 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.321 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.321 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.321 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 17.322 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.322 * * [simplify]: iters left: 6 (13 enodes) 17.330 * * [simplify]: iters left: 5 (54 enodes) 17.348 * * [simplify]: iters left: 4 (88 enodes) 17.377 * * [simplify]: iters left: 3 (127 enodes) 17.401 * * [simplify]: iters left: 2 (196 enodes) 17.460 * * [simplify]: iters left: 1 (362 enodes) 17.606 * * [simplify]: Extracting #0: cost 1 inf + 0 17.606 * * [simplify]: Extracting #1: cost 5 inf + 0 17.606 * * [simplify]: Extracting #2: cost 27 inf + 1 17.607 * * [simplify]: Extracting #3: cost 103 inf + 2 17.607 * * [simplify]: Extracting #4: cost 147 inf + 177 17.608 * * [simplify]: Extracting #5: cost 138 inf + 727 17.610 * * [simplify]: Extracting #6: cost 92 inf + 5570 17.616 * * [simplify]: Extracting #7: cost 20 inf + 39855 17.624 * * [simplify]: Extracting #8: cost 0 inf + 56614 17.633 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.633 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 17.633 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.633 * * [simplify]: iters left: 6 (13 enodes) 17.637 * * [simplify]: iters left: 5 (54 enodes) 17.647 * * [simplify]: iters left: 4 (88 enodes) 17.661 * * [simplify]: iters left: 3 (125 enodes) 17.700 * * [simplify]: iters left: 2 (193 enodes) 17.740 * * [simplify]: iters left: 1 (356 enodes) 17.899 * * [simplify]: Extracting #0: cost 1 inf + 0 17.899 * * [simplify]: Extracting #1: cost 4 inf + 0 17.899 * * [simplify]: Extracting #2: cost 9 inf + 0 17.899 * * [simplify]: Extracting #3: cost 32 inf + 1 17.900 * * [simplify]: Extracting #4: cost 105 inf + 84 17.901 * * [simplify]: Extracting #5: cost 126 inf + 1591 17.907 * * [simplify]: Extracting #6: cost 68 inf + 14727 17.924 * * [simplify]: Extracting #7: cost 10 inf + 40855 17.941 * * [simplify]: Extracting #8: cost 0 inf + 47636 17.955 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.955 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 17.955 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 17.955 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.955 * * [simplify]: iters left: 6 (14 enodes) 17.959 * * [simplify]: iters left: 5 (57 enodes) 17.969 * * [simplify]: iters left: 4 (91 enodes) 17.988 * * [simplify]: iters left: 3 (127 enodes) 18.009 * * [simplify]: iters left: 2 (195 enodes) 18.045 * * [simplify]: iters left: 1 (354 enodes) 18.161 * * [simplify]: Extracting #0: cost 1 inf + 0 18.161 * * [simplify]: Extracting #1: cost 4 inf + 0 18.161 * * [simplify]: Extracting #2: cost 9 inf + 0 18.161 * * [simplify]: Extracting #3: cost 36 inf + 0 18.162 * * [simplify]: Extracting #4: cost 113 inf + 124 18.162 * * [simplify]: Extracting #5: cost 137 inf + 631 18.165 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.173 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.192 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.208 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.218 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.228 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.228 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.228 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.229 * * [simplify]: iters left: 6 (14 enodes) 18.237 * * [simplify]: iters left: 5 (57 enodes) 18.256 * * [simplify]: iters left: 4 (91 enodes) 18.281 * * [simplify]: iters left: 3 (127 enodes) 18.302 * * [simplify]: iters left: 2 (195 enodes) 18.347 * * [simplify]: iters left: 1 (354 enodes) 18.521 * * [simplify]: Extracting #0: cost 1 inf + 0 18.521 * * [simplify]: Extracting #1: cost 4 inf + 0 18.521 * * [simplify]: Extracting #2: cost 9 inf + 0 18.521 * * [simplify]: Extracting #3: cost 36 inf + 0 18.522 * * [simplify]: Extracting #4: cost 113 inf + 124 18.523 * * [simplify]: Extracting #5: cost 137 inf + 631 18.528 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.544 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.560 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.573 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.584 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.594 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.594 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.594 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 18.595 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.595 * * [simplify]: iters left: 6 (12 enodes) 18.600 * * [simplify]: iters left: 5 (49 enodes) 18.609 * * [simplify]: iters left: 4 (83 enodes) 18.623 * * [simplify]: iters left: 3 (124 enodes) 18.645 * * [simplify]: iters left: 2 (197 enodes) 18.718 * * [simplify]: iters left: 1 (352 enodes) 18.903 * * [simplify]: Extracting #0: cost 1 inf + 0 18.903 * * [simplify]: Extracting #1: cost 5 inf + 0 18.903 * * [simplify]: Extracting #2: cost 27 inf + 1 18.904 * * [simplify]: Extracting #3: cost 107 inf + 2 18.905 * * [simplify]: Extracting #4: cost 136 inf + 177 18.906 * * [simplify]: Extracting #5: cost 130 inf + 641 18.910 * * [simplify]: Extracting #6: cost 70 inf + 10495 18.920 * * [simplify]: Extracting #7: cost 39 inf + 22866 18.927 * * [simplify]: Extracting #8: cost 5 inf + 50330 18.937 * * [simplify]: Extracting #9: cost 0 inf + 54200 18.950 * * [simplify]: Extracting #10: cost 0 inf + 53889 18.970 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.970 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 18.970 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.970 * * [simplify]: iters left: 6 (13 enodes) 18.979 * * [simplify]: iters left: 5 (54 enodes) 18.993 * * [simplify]: iters left: 4 (88 enodes) 19.008 * * [simplify]: iters left: 3 (125 enodes) 19.042 * * [simplify]: iters left: 2 (193 enodes) 19.081 * * [simplify]: iters left: 1 (356 enodes) 19.241 * * [simplify]: Extracting #0: cost 1 inf + 0 19.241 * * [simplify]: Extracting #1: cost 4 inf + 0 19.241 * * [simplify]: Extracting #2: cost 9 inf + 0 19.241 * * [simplify]: Extracting #3: cost 32 inf + 1 19.242 * * [simplify]: Extracting #4: cost 105 inf + 84 19.243 * * [simplify]: Extracting #5: cost 126 inf + 1591 19.249 * * [simplify]: Extracting #6: cost 68 inf + 14727 19.267 * * [simplify]: Extracting #7: cost 10 inf + 40855 19.292 * * [simplify]: Extracting #8: cost 0 inf + 47636 19.317 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.317 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 19.318 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 19.318 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.318 * * [simplify]: iters left: 6 (6 enodes) 19.321 * * [simplify]: iters left: 5 (22 enodes) 19.325 * * [simplify]: iters left: 4 (26 enodes) 19.329 * * [simplify]: Extracting #0: cost 1 inf + 0 19.329 * * [simplify]: Extracting #1: cost 6 inf + 0 19.329 * * [simplify]: Extracting #2: cost 9 inf + 1 19.329 * * [simplify]: Extracting #3: cost 11 inf + 1 19.329 * * [simplify]: Extracting #4: cost 8 inf + 84 19.329 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.329 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.329 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.330 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.330 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.330 * * [simplify]: iters left: 6 (13 enodes) 19.334 * * [simplify]: iters left: 5 (54 enodes) 19.344 * * [simplify]: iters left: 4 (89 enodes) 19.363 * * [simplify]: iters left: 3 (136 enodes) 19.398 * * [simplify]: iters left: 2 (221 enodes) 19.451 * * [simplify]: iters left: 1 (444 enodes) 19.690 * * [simplify]: Extracting #0: cost 1 inf + 0 19.690 * * [simplify]: Extracting #1: cost 51 inf + 0 19.691 * * [simplify]: Extracting #2: cost 142 inf + 0 19.693 * * [simplify]: Extracting #3: cost 218 inf + 3 19.695 * * [simplify]: Extracting #4: cost 207 inf + 1337 19.702 * * [simplify]: Extracting #5: cost 133 inf + 19274 19.725 * * [simplify]: Extracting #6: cost 32 inf + 94866 19.760 * * [simplify]: Extracting #7: cost 0 inf + 124049 19.795 * * [simplify]: Extracting #8: cost 0 inf + 120814 19.830 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.830 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.830 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 19.831 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.831 * * [simplify]: iters left: 6 (6 enodes) 19.834 * * [simplify]: iters left: 5 (21 enodes) 19.844 * * [simplify]: iters left: 4 (23 enodes) 19.851 * * [simplify]: Extracting #0: cost 1 inf + 0 19.851 * * [simplify]: Extracting #1: cost 4 inf + 0 19.851 * * [simplify]: Extracting #2: cost 6 inf + 1 19.852 * * [simplify]: Extracting #3: cost 9 inf + 1 19.852 * * [simplify]: Extracting #4: cost 8 inf + 2 19.852 * * [simplify]: Extracting #5: cost 1 inf + 810 19.852 * * [simplify]: Extracting #6: cost 0 inf + 972 19.852 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.853 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.853 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.853 * * [simplify]: iters left: 6 (13 enodes) 19.860 * * [simplify]: iters left: 5 (54 enodes) 19.870 * * [simplify]: iters left: 4 (89 enodes) 19.885 * * [simplify]: iters left: 3 (136 enodes) 19.911 * * [simplify]: iters left: 2 (221 enodes) 19.958 * * [simplify]: iters left: 1 (444 enodes) 20.202 * * [simplify]: Extracting #0: cost 1 inf + 0 20.202 * * [simplify]: Extracting #1: cost 51 inf + 0 20.203 * * [simplify]: Extracting #2: cost 142 inf + 0 20.204 * * [simplify]: Extracting #3: cost 218 inf + 3 20.206 * * [simplify]: Extracting #4: cost 207 inf + 1377 20.213 * * [simplify]: Extracting #5: cost 133 inf + 19354 20.237 * * [simplify]: Extracting #6: cost 32 inf + 94946 20.260 * * [simplify]: Extracting #7: cost 0 inf + 124129 20.287 * * [simplify]: Extracting #8: cost 0 inf + 120894 20.307 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.307 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.307 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 20.307 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.307 * * [simplify]: iters left: 4 (5 enodes) 20.310 * * [simplify]: iters left: 3 (17 enodes) 20.315 * * [simplify]: iters left: 2 (19 enodes) 20.321 * * [simplify]: Extracting #0: cost 1 inf + 0 20.321 * * [simplify]: Extracting #1: cost 4 inf + 0 20.321 * * [simplify]: Extracting #2: cost 5 inf + 1 20.321 * * [simplify]: Extracting #3: cost 7 inf + 1 20.321 * * [simplify]: Extracting #4: cost 0 inf + 490 20.322 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.322 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.322 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.322 * * [simplify]: iters left: 6 (13 enodes) 20.329 * * [simplify]: iters left: 5 (54 enodes) 20.339 * * [simplify]: iters left: 4 (89 enodes) 20.365 * * [simplify]: iters left: 3 (136 enodes) 20.413 * * [simplify]: iters left: 2 (221 enodes) 20.471 * * [simplify]: iters left: 1 (444 enodes) 20.663 * * [simplify]: Extracting #0: cost 1 inf + 0 20.663 * * [simplify]: Extracting #1: cost 51 inf + 0 20.664 * * [simplify]: Extracting #2: cost 142 inf + 0 20.665 * * [simplify]: Extracting #3: cost 218 inf + 3 20.669 * * [simplify]: Extracting #4: cost 207 inf + 1257 20.672 * * [simplify]: Extracting #5: cost 133 inf + 18954 20.689 * * [simplify]: Extracting #6: cost 32 inf + 92706 20.718 * * [simplify]: Extracting #7: cost 0 inf + 121009 20.737 * * [simplify]: Extracting #8: cost 0 inf + 117774 20.769 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.769 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.769 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 20.770 * [simplify]: Simplifying (/ 1 (sqrt 1)) 20.770 * * [simplify]: iters left: 3 (3 enodes) 20.776 * * [simplify]: iters left: 2 (11 enodes) 20.780 * * [simplify]: iters left: 1 (13 enodes) 20.783 * * [simplify]: Extracting #0: cost 1 inf + 0 20.783 * * [simplify]: Extracting #1: cost 0 inf + 1 20.783 * [simplify]: Simplified to 1 20.783 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.783 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.783 * * [simplify]: iters left: 6 (12 enodes) 20.790 * * [simplify]: iters left: 5 (51 enodes) 20.802 * * [simplify]: iters left: 4 (86 enodes) 20.817 * * [simplify]: iters left: 3 (133 enodes) 20.848 * * [simplify]: iters left: 2 (218 enodes) 20.912 * * [simplify]: iters left: 1 (444 enodes) 21.099 * * [simplify]: Extracting #0: cost 1 inf + 0 21.099 * * [simplify]: Extracting #1: cost 39 inf + 0 21.100 * * [simplify]: Extracting #2: cost 126 inf + 0 21.102 * * [simplify]: Extracting #3: cost 201 inf + 4 21.104 * * [simplify]: Extracting #4: cost 189 inf + 1508 21.109 * * [simplify]: Extracting #5: cost 135 inf + 9951 21.125 * * [simplify]: Extracting #6: cost 51 inf + 62585 21.146 * * [simplify]: Extracting #7: cost 2 inf + 102691 21.162 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.187 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.187 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.187 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 21.188 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.188 * * [simplify]: iters left: 4 (5 enodes) 21.195 * * [simplify]: iters left: 3 (17 enodes) 21.201 * * [simplify]: iters left: 2 (19 enodes) 21.207 * * [simplify]: Extracting #0: cost 1 inf + 0 21.207 * * [simplify]: Extracting #1: cost 4 inf + 0 21.207 * * [simplify]: Extracting #2: cost 5 inf + 1 21.207 * * [simplify]: Extracting #3: cost 7 inf + 1 21.207 * * [simplify]: Extracting #4: cost 0 inf + 490 21.207 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.207 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.208 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.208 * * [simplify]: iters left: 6 (13 enodes) 21.215 * * [simplify]: iters left: 5 (54 enodes) 21.234 * * [simplify]: iters left: 4 (89 enodes) 21.262 * * [simplify]: iters left: 3 (136 enodes) 21.292 * * [simplify]: iters left: 2 (221 enodes) 21.367 * * [simplify]: iters left: 1 (444 enodes) 21.577 * * [simplify]: Extracting #0: cost 1 inf + 0 21.578 * * [simplify]: Extracting #1: cost 51 inf + 0 21.579 * * [simplify]: Extracting #2: cost 142 inf + 0 21.580 * * [simplify]: Extracting #3: cost 218 inf + 3 21.583 * * [simplify]: Extracting #4: cost 207 inf + 1257 21.589 * * [simplify]: Extracting #5: cost 133 inf + 18954 21.614 * * [simplify]: Extracting #6: cost 32 inf + 92706 21.654 * * [simplify]: Extracting #7: cost 0 inf + 121009 21.691 * * [simplify]: Extracting #8: cost 0 inf + 117774 21.709 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.709 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.709 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 21.710 * [simplify]: Simplifying (/ 1 1) 21.710 * * [simplify]: iters left: 2 (2 enodes) 21.711 * * [simplify]: iters left: 1 (6 enodes) 21.712 * * [simplify]: Extracting #0: cost 1 inf + 0 21.712 * * [simplify]: Extracting #1: cost 0 inf + 1 21.712 * [simplify]: Simplified to 1 21.712 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.713 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.713 * * [simplify]: iters left: 6 (12 enodes) 21.719 * * [simplify]: iters left: 5 (51 enodes) 21.737 * * [simplify]: iters left: 4 (86 enodes) 21.765 * * [simplify]: iters left: 3 (133 enodes) 21.797 * * [simplify]: iters left: 2 (218 enodes) 21.863 * * [simplify]: iters left: 1 (444 enodes) 22.077 * * [simplify]: Extracting #0: cost 1 inf + 0 22.077 * * [simplify]: Extracting #1: cost 39 inf + 0 22.078 * * [simplify]: Extracting #2: cost 126 inf + 0 22.078 * * [simplify]: Extracting #3: cost 201 inf + 4 22.080 * * [simplify]: Extracting #4: cost 189 inf + 1508 22.082 * * [simplify]: Extracting #5: cost 135 inf + 9951 22.090 * * [simplify]: Extracting #6: cost 51 inf + 62585 22.111 * * [simplify]: Extracting #7: cost 2 inf + 102691 22.127 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.154 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.154 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.155 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 22.155 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.155 * * [simplify]: iters left: 6 (15 enodes) 22.163 * * [simplify]: iters left: 5 (65 enodes) 22.185 * * [simplify]: iters left: 4 (109 enodes) 22.222 * * [simplify]: iters left: 3 (185 enodes) 22.293 * * [simplify]: iters left: 2 (368 enodes) 22.430 * * [simplify]: Extracting #0: cost 1 inf + 0 22.430 * * [simplify]: Extracting #1: cost 54 inf + 0 22.431 * * [simplify]: Extracting #2: cost 144 inf + 0 22.433 * * [simplify]: Extracting #3: cost 223 inf + 2 22.435 * * [simplify]: Extracting #4: cost 217 inf + 1415 22.440 * * [simplify]: Extracting #5: cost 166 inf + 8610 22.454 * * [simplify]: Extracting #6: cost 63 inf + 69583 22.473 * * [simplify]: Extracting #7: cost 0 inf + 121597 22.493 * * [simplify]: Extracting #8: cost 0 inf + 120169 22.526 * * [simplify]: Extracting #9: cost 0 inf + 120168 22.557 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.557 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 22.558 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 22.558 * * [simplify]: iters left: 6 (14 enodes) 22.567 * * [simplify]: iters left: 5 (60 enodes) 22.587 * * [simplify]: iters left: 4 (98 enodes) 22.622 * * [simplify]: iters left: 3 (157 enodes) 22.675 * * [simplify]: iters left: 2 (290 enodes) 22.791 * * [simplify]: Extracting #0: cost 1 inf + 0 22.791 * * [simplify]: Extracting #1: cost 30 inf + 0 22.792 * * [simplify]: Extracting #2: cost 72 inf + 0 22.792 * * [simplify]: Extracting #3: cost 138 inf + 2 22.794 * * [simplify]: Extracting #4: cost 142 inf + 932 22.800 * * [simplify]: Extracting #5: cost 72 inf + 18422 22.810 * * [simplify]: Extracting #6: cost 10 inf + 45090 22.819 * * [simplify]: Extracting #7: cost 0 inf + 51502 22.827 * * [simplify]: Extracting #8: cost 0 inf + 51262 22.840 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 22.840 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 22.840 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 22.840 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 22.841 * * [simplify]: iters left: 6 (15 enodes) 22.850 * * [simplify]: iters left: 5 (64 enodes) 22.871 * * [simplify]: iters left: 4 (102 enodes) 22.908 * * [simplify]: iters left: 3 (161 enodes) 22.964 * * [simplify]: iters left: 2 (288 enodes) 23.038 * * [simplify]: Extracting #0: cost 1 inf + 0 23.038 * * [simplify]: Extracting #1: cost 30 inf + 0 23.038 * * [simplify]: Extracting #2: cost 73 inf + 0 23.039 * * [simplify]: Extracting #3: cost 138 inf + 2 23.039 * * [simplify]: Extracting #4: cost 144 inf + 347 23.041 * * [simplify]: Extracting #5: cost 101 inf + 5180 23.044 * * [simplify]: Extracting #6: cost 44 inf + 26188 23.051 * * [simplify]: Extracting #7: cost 7 inf + 54487 23.059 * * [simplify]: Extracting #8: cost 0 inf + 59312 23.067 * * [simplify]: Extracting #9: cost 0 inf + 58534 23.075 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 23.075 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 23.075 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 23.075 * * [simplify]: iters left: 6 (14 enodes) 23.083 * * [simplify]: iters left: 5 (60 enodes) 23.104 * * [simplify]: iters left: 4 (98 enodes) 23.133 * * [simplify]: iters left: 3 (157 enodes) 23.162 * * [simplify]: iters left: 2 (290 enodes) 23.225 * * [simplify]: Extracting #0: cost 1 inf + 0 23.225 * * [simplify]: Extracting #1: cost 30 inf + 0 23.225 * * [simplify]: Extracting #2: cost 72 inf + 0 23.226 * * [simplify]: Extracting #3: cost 138 inf + 2 23.226 * * [simplify]: Extracting #4: cost 142 inf + 932 23.230 * * [simplify]: Extracting #5: cost 72 inf + 18502 23.244 * * [simplify]: Extracting #6: cost 10 inf + 45170 23.261 * * [simplify]: Extracting #7: cost 0 inf + 51582 23.278 * * [simplify]: Extracting #8: cost 0 inf + 51342 23.295 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.296 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 23.296 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 23.296 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.296 * * [simplify]: iters left: 6 (14 enodes) 23.305 * * [simplify]: iters left: 5 (60 enodes) 23.325 * * [simplify]: iters left: 4 (98 enodes) 23.361 * * [simplify]: iters left: 3 (157 enodes) 23.417 * * [simplify]: iters left: 2 (290 enodes) 23.505 * * [simplify]: Extracting #0: cost 1 inf + 0 23.505 * * [simplify]: Extracting #1: cost 30 inf + 0 23.505 * * [simplify]: Extracting #2: cost 72 inf + 0 23.506 * * [simplify]: Extracting #3: cost 138 inf + 2 23.507 * * [simplify]: Extracting #4: cost 142 inf + 932 23.510 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.518 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.535 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.551 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.568 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.568 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.569 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.569 * * [simplify]: iters left: 6 (14 enodes) 23.577 * * [simplify]: iters left: 5 (60 enodes) 23.599 * * [simplify]: iters left: 4 (98 enodes) 23.615 * * [simplify]: iters left: 3 (157 enodes) 23.660 * * [simplify]: iters left: 2 (290 enodes) 23.746 * * [simplify]: Extracting #0: cost 1 inf + 0 23.746 * * [simplify]: Extracting #1: cost 30 inf + 0 23.746 * * [simplify]: Extracting #2: cost 72 inf + 0 23.747 * * [simplify]: Extracting #3: cost 138 inf + 2 23.748 * * [simplify]: Extracting #4: cost 142 inf + 932 23.754 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.769 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.787 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.805 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.823 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.823 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.823 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 23.823 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 23.823 * * [simplify]: iters left: 6 (13 enodes) 23.833 * * [simplify]: iters left: 5 (57 enodes) 23.857 * * [simplify]: iters left: 4 (93 enodes) 23.887 * * [simplify]: iters left: 3 (148 enodes) 23.916 * * [simplify]: iters left: 2 (271 enodes) 23.993 * * [simplify]: iters left: 1 (495 enodes) 24.183 * * [simplify]: Extracting #0: cost 1 inf + 0 24.183 * * [simplify]: Extracting #1: cost 55 inf + 0 24.183 * * [simplify]: Extracting #2: cost 164 inf + 2 24.184 * * [simplify]: Extracting #3: cost 237 inf + 220 24.186 * * [simplify]: Extracting #4: cost 230 inf + 978 24.189 * * [simplify]: Extracting #5: cost 141 inf + 13550 24.196 * * [simplify]: Extracting #6: cost 75 inf + 38571 24.209 * * [simplify]: Extracting #7: cost 10 inf + 93049 24.224 * * [simplify]: Extracting #8: cost 0 inf + 100862 24.239 * * [simplify]: Extracting #9: cost 0 inf + 100439 24.254 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 24.254 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.255 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.255 * * [simplify]: iters left: 6 (13 enodes) 24.262 * * [simplify]: iters left: 5 (57 enodes) 24.281 * * [simplify]: iters left: 4 (95 enodes) 24.302 * * [simplify]: iters left: 3 (154 enodes) 24.332 * * [simplify]: iters left: 2 (287 enodes) 24.406 * * [simplify]: Extracting #0: cost 1 inf + 0 24.406 * * [simplify]: Extracting #1: cost 30 inf + 0 24.407 * * [simplify]: Extracting #2: cost 73 inf + 0 24.407 * * [simplify]: Extracting #3: cost 136 inf + 3 24.408 * * [simplify]: Extracting #4: cost 132 inf + 1178 24.409 * * [simplify]: Extracting #5: cost 90 inf + 6800 24.414 * * [simplify]: Extracting #6: cost 20 inf + 38881 24.423 * * [simplify]: Extracting #7: cost 0 inf + 54585 24.437 * * [simplify]: Extracting #8: cost 0 inf + 54374 24.452 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.452 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.453 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 24.453 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.453 * * [simplify]: iters left: 6 (14 enodes) 24.465 * * [simplify]: iters left: 5 (60 enodes) 24.486 * * [simplify]: iters left: 4 (98 enodes) 24.520 * * [simplify]: iters left: 3 (157 enodes) 24.553 * * [simplify]: iters left: 2 (290 enodes) 24.644 * * [simplify]: Extracting #0: cost 1 inf + 0 24.645 * * [simplify]: Extracting #1: cost 30 inf + 0 24.645 * * [simplify]: Extracting #2: cost 72 inf + 0 24.646 * * [simplify]: Extracting #3: cost 138 inf + 2 24.647 * * [simplify]: Extracting #4: cost 142 inf + 932 24.653 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.667 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.685 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.703 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.725 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.725 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 24.725 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.725 * * [simplify]: iters left: 6 (14 enodes) 24.734 * * [simplify]: iters left: 5 (60 enodes) 24.753 * * [simplify]: iters left: 4 (98 enodes) 24.769 * * [simplify]: iters left: 3 (157 enodes) 24.820 * * [simplify]: iters left: 2 (290 enodes) 24.939 * * [simplify]: Extracting #0: cost 1 inf + 0 24.939 * * [simplify]: Extracting #1: cost 30 inf + 0 24.939 * * [simplify]: Extracting #2: cost 72 inf + 0 24.940 * * [simplify]: Extracting #3: cost 138 inf + 2 24.941 * * [simplify]: Extracting #4: cost 142 inf + 932 24.948 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.962 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.980 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.996 * * [simplify]: Extracting #8: cost 0 inf + 49782 25.013 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.013 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 25.013 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 25.013 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 25.013 * * [simplify]: iters left: 6 (12 enodes) 25.017 * * [simplify]: iters left: 5 (52 enodes) 25.027 * * [simplify]: iters left: 4 (90 enodes) 25.043 * * [simplify]: iters left: 3 (151 enodes) 25.074 * * [simplify]: iters left: 2 (287 enodes) 25.139 * * [simplify]: Extracting #0: cost 1 inf + 0 25.139 * * [simplify]: Extracting #1: cost 31 inf + 0 25.140 * * [simplify]: Extracting #2: cost 99 inf + 2 25.140 * * [simplify]: Extracting #3: cost 141 inf + 219 25.141 * * [simplify]: Extracting #4: cost 141 inf + 641 25.142 * * [simplify]: Extracting #5: cost 86 inf + 6314 25.146 * * [simplify]: Extracting #6: cost 34 inf + 26657 25.152 * * [simplify]: Extracting #7: cost 3 inf + 48037 25.165 * * [simplify]: Extracting #8: cost 0 inf + 50067 25.180 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 25.180 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 25.180 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.180 * * [simplify]: iters left: 6 (13 enodes) 25.187 * * [simplify]: iters left: 5 (57 enodes) 25.205 * * [simplify]: iters left: 4 (95 enodes) 25.233 * * [simplify]: iters left: 3 (154 enodes) 25.277 * * [simplify]: iters left: 2 (287 enodes) 25.377 * * [simplify]: Extracting #0: cost 1 inf + 0 25.377 * * [simplify]: Extracting #1: cost 30 inf + 0 25.378 * * [simplify]: Extracting #2: cost 73 inf + 0 25.379 * * [simplify]: Extracting #3: cost 136 inf + 3 25.380 * * [simplify]: Extracting #4: cost 132 inf + 1178 25.383 * * [simplify]: Extracting #5: cost 90 inf + 6800 25.391 * * [simplify]: Extracting #6: cost 20 inf + 38881 25.404 * * [simplify]: Extracting #7: cost 0 inf + 54585 25.411 * * [simplify]: Extracting #8: cost 0 inf + 54374 25.422 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.422 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 25.422 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 25.422 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 25.422 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 25.422 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 25.422 * [simplify]: Simplifying (cbrt (sqrt k)) 25.423 * * [simplify]: iters left: 2 (3 enodes) 25.423 * * [simplify]: iters left: 1 (9 enodes) 25.424 * * [simplify]: Extracting #0: cost 1 inf + 0 25.424 * * [simplify]: Extracting #1: cost 3 inf + 0 25.424 * * [simplify]: Extracting #2: cost 5 inf + 0 25.425 * * [simplify]: Extracting #3: cost 4 inf + 1 25.425 * * [simplify]: Extracting #4: cost 0 inf + 325 25.425 * [simplify]: Simplified to (cbrt (sqrt k)) 25.425 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.425 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 25.425 * [simplify]: Simplifying (sqrt (cbrt k)) 25.425 * * [simplify]: iters left: 2 (3 enodes) 25.426 * * [simplify]: iters left: 1 (9 enodes) 25.427 * * [simplify]: Extracting #0: cost 1 inf + 0 25.427 * * [simplify]: Extracting #1: cost 3 inf + 0 25.427 * * [simplify]: Extracting #2: cost 5 inf + 0 25.427 * * [simplify]: Extracting #3: cost 4 inf + 1 25.427 * * [simplify]: Extracting #4: cost 0 inf + 405 25.427 * [simplify]: Simplified to (sqrt (cbrt k)) 25.427 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 25.427 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 25.427 * [simplify]: Simplifying (sqrt (sqrt k)) 25.427 * * [simplify]: iters left: 2 (3 enodes) 25.428 * * [simplify]: iters left: 1 (9 enodes) 25.429 * * [simplify]: Extracting #0: cost 1 inf + 0 25.429 * * [simplify]: Extracting #1: cost 3 inf + 0 25.429 * * [simplify]: Extracting #2: cost 5 inf + 0 25.429 * * [simplify]: Extracting #3: cost 4 inf + 1 25.429 * * [simplify]: Extracting #4: cost 0 inf + 245 25.429 * [simplify]: Simplified to (sqrt (sqrt k)) 25.429 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.429 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 25.430 * [simplify]: Simplifying (sqrt k) 25.430 * * [simplify]: iters left: 1 (2 enodes) 25.430 * * [simplify]: Extracting #0: cost 1 inf + 0 25.430 * * [simplify]: Extracting #1: cost 3 inf + 0 25.430 * * [simplify]: Extracting #2: cost 2 inf + 1 25.430 * * [simplify]: Extracting #3: cost 0 inf + 83 25.430 * [simplify]: Simplified to (sqrt k) 25.430 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 25.430 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 25.430 * [simplify]: Simplifying (sqrt (sqrt k)) 25.430 * * [simplify]: iters left: 2 (3 enodes) 25.431 * * [simplify]: iters left: 1 (9 enodes) 25.432 * * [simplify]: Extracting #0: cost 1 inf + 0 25.432 * * [simplify]: Extracting #1: cost 3 inf + 0 25.432 * * [simplify]: Extracting #2: cost 5 inf + 0 25.432 * * [simplify]: Extracting #3: cost 4 inf + 1 25.432 * * [simplify]: Extracting #4: cost 0 inf + 245 25.433 * [simplify]: Simplified to (sqrt (sqrt k)) 25.433 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.433 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 25.433 * [simplify]: Simplifying (sqrt k) 25.433 * * [simplify]: iters left: 1 (2 enodes) 25.433 * * [simplify]: Extracting #0: cost 1 inf + 0 25.433 * * [simplify]: Extracting #1: cost 3 inf + 0 25.433 * * [simplify]: Extracting #2: cost 2 inf + 1 25.433 * * [simplify]: Extracting #3: cost 0 inf + 83 25.434 * [simplify]: Simplified to (sqrt k) 25.434 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 25.434 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 25.434 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 25.434 * * [simplify]: iters left: 5 (7 enodes) 25.437 * * [simplify]: iters left: 4 (32 enodes) 25.447 * * [simplify]: iters left: 3 (57 enodes) 25.464 * * [simplify]: iters left: 2 (88 enodes) 25.481 * * [simplify]: iters left: 1 (156 enodes) 25.529 * * [simplify]: Extracting #0: cost 1 inf + 0 25.529 * * [simplify]: Extracting #1: cost 13 inf + 0 25.530 * * [simplify]: Extracting #2: cost 49 inf + 2 25.530 * * [simplify]: Extracting #3: cost 80 inf + 6 25.530 * * [simplify]: Extracting #4: cost 58 inf + 1840 25.532 * * [simplify]: Extracting #5: cost 22 inf + 9206 25.535 * * [simplify]: Extracting #6: cost 1 inf + 20886 25.538 * * [simplify]: Extracting #7: cost 0 inf + 21301 25.541 * * [simplify]: Extracting #8: cost 0 inf + 21130 25.544 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.544 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 25.544 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 25.544 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 25.545 * * [simplify]: iters left: 6 (12 enodes) 25.548 * * [simplify]: iters left: 5 (51 enodes) 25.561 * * [simplify]: iters left: 4 (84 enodes) 25.588 * * [simplify]: iters left: 3 (125 enodes) 25.629 * * [simplify]: iters left: 2 (198 enodes) 25.694 * * [simplify]: iters left: 1 (353 enodes) 25.815 * * [simplify]: Extracting #0: cost 1 inf + 0 25.815 * * [simplify]: Extracting #1: cost 3 inf + 0 25.815 * * [simplify]: Extracting #2: cost 5 inf + 0 25.815 * * [simplify]: Extracting #3: cost 28 inf + 0 25.815 * * [simplify]: Extracting #4: cost 101 inf + 1 25.816 * * [simplify]: Extracting #5: cost 136 inf + 176 25.816 * * [simplify]: Extracting #6: cost 127 inf + 1730 25.819 * * [simplify]: Extracting #7: cost 68 inf + 14428 25.826 * * [simplify]: Extracting #8: cost 24 inf + 38979 25.841 * * [simplify]: Extracting #9: cost 0 inf + 59741 25.861 * * [simplify]: Extracting #10: cost 0 inf + 57850 25.872 * * [simplify]: Extracting #11: cost 0 inf + 57436 25.883 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 25.883 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 25.883 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 25.883 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 25.884 * * [simplify]: iters left: 6 (11 enodes) 25.888 * * [simplify]: iters left: 5 (48 enodes) 25.897 * * [simplify]: iters left: 4 (78 enodes) 25.917 * * [simplify]: iters left: 3 (120 enodes) 25.949 * * [simplify]: iters left: 2 (211 enodes) 25.999 * * [simplify]: iters left: 1 (378 enodes) 26.173 * * [simplify]: Extracting #0: cost 1 inf + 0 26.173 * * [simplify]: Extracting #1: cost 4 inf + 0 26.173 * * [simplify]: Extracting #2: cost 28 inf + 0 26.174 * * [simplify]: Extracting #3: cost 111 inf + 1 26.175 * * [simplify]: Extracting #4: cost 151 inf + 220 26.177 * * [simplify]: Extracting #5: cost 149 inf + 601 26.179 * * [simplify]: Extracting #6: cost 109 inf + 5630 26.187 * * [simplify]: Extracting #7: cost 43 inf + 25793 26.204 * * [simplify]: Extracting #8: cost 5 inf + 52343 26.226 * * [simplify]: Extracting #9: cost 0 inf + 56629 26.247 * * [simplify]: Extracting #10: cost 0 inf + 55972 26.269 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 26.269 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.269 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 26.269 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 26.269 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 26.270 * * [simplify]: iters left: 6 (11 enodes) 26.276 * * [simplify]: iters left: 5 (51 enodes) 26.297 * * [simplify]: iters left: 4 (87 enodes) 26.324 * * [simplify]: iters left: 3 (143 enodes) 26.356 * * [simplify]: iters left: 2 (259 enodes) 26.427 * * [simplify]: iters left: 1 (467 enodes) 26.599 * * [simplify]: Extracting #0: cost 1 inf + 0 26.599 * * [simplify]: Extracting #1: cost 23 inf + 0 26.599 * * [simplify]: Extracting #2: cost 99 inf + 1 26.600 * * [simplify]: Extracting #3: cost 180 inf + 178 26.601 * * [simplify]: Extracting #4: cost 162 inf + 2505 26.605 * * [simplify]: Extracting #5: cost 78 inf + 12096 26.610 * * [simplify]: Extracting #6: cost 33 inf + 29460 26.620 * * [simplify]: Extracting #7: cost 1 inf + 56926 26.630 * * [simplify]: Extracting #8: cost 0 inf + 57804 26.643 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.643 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 26.643 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 26.643 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 26.643 * * [simplify]: iters left: 5 (8 enodes) 26.647 * * [simplify]: iters left: 4 (35 enodes) 26.660 * * [simplify]: iters left: 3 (63 enodes) 26.673 * * [simplify]: iters left: 2 (108 enodes) 26.691 * * [simplify]: iters left: 1 (162 enodes) 26.725 * * [simplify]: Extracting #0: cost 1 inf + 0 26.725 * * [simplify]: Extracting #1: cost 12 inf + 0 26.725 * * [simplify]: Extracting #2: cost 40 inf + 2 26.725 * * [simplify]: Extracting #3: cost 40 inf + 9 26.726 * * [simplify]: Extracting #4: cost 25 inf + 2233 26.726 * * [simplify]: Extracting #5: cost 10 inf + 8991 26.728 * * [simplify]: Extracting #6: cost 0 inf + 14572 26.732 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 26.732 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 26.733 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 26.733 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 26.733 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 26.733 * * [simplify]: iters left: 6 (37 enodes) 26.748 * * [simplify]: iters left: 5 (187 enodes) 26.804 * * [simplify]: iters left: 4 (488 enodes) 27.062 * * [simplify]: Extracting #0: cost 1 inf + 0 27.063 * * [simplify]: Extracting #1: cost 57 inf + 0 27.064 * * [simplify]: Extracting #2: cost 294 inf + 0 27.068 * * [simplify]: Extracting #3: cost 524 inf + 199 27.073 * * [simplify]: Extracting #4: cost 512 inf + 6095 27.097 * * [simplify]: Extracting #5: cost 310 inf + 78036 27.161 * * [simplify]: Extracting #6: cost 40 inf + 220622 27.244 * * [simplify]: Extracting #7: cost 0 inf + 244981 27.308 * * [simplify]: Extracting #8: cost 0 inf + 243455 27.379 * * [simplify]: Extracting #9: cost 0 inf + 243454 27.442 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 27.442 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 27.442 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 27.443 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 27.443 * * [simplify]: iters left: 6 (15 enodes) 27.448 * * [simplify]: iters left: 5 (65 enodes) 27.460 * * [simplify]: iters left: 4 (123 enodes) 27.503 * * [simplify]: iters left: 3 (361 enodes) 27.661 * * [simplify]: Extracting #0: cost 1 inf + 0 27.661 * * [simplify]: Extracting #1: cost 37 inf + 0 27.661 * * [simplify]: Extracting #2: cost 213 inf + 72 27.663 * * [simplify]: Extracting #3: cost 350 inf + 1716 27.667 * * [simplify]: Extracting #4: cost 221 inf + 30028 27.680 * * [simplify]: Extracting #5: cost 33 inf + 78046 27.706 * * [simplify]: Extracting #6: cost 1 inf + 88785 27.730 * * [simplify]: Extracting #7: cost 0 inf + 88926 27.745 * * [simplify]: Extracting #8: cost 0 inf + 88841 27.765 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.765 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.765 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 27.765 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.765 * * [simplify]: iters left: 6 (16 enodes) 27.771 * * [simplify]: iters left: 5 (67 enodes) 27.784 * * [simplify]: iters left: 4 (134 enodes) 27.839 * * [simplify]: iters left: 3 (407 enodes) 27.995 * * [simplify]: Extracting #0: cost 1 inf + 0 27.995 * * [simplify]: Extracting #1: cost 39 inf + 0 27.996 * * [simplify]: Extracting #2: cost 241 inf + 72 27.998 * * [simplify]: Extracting #3: cost 449 inf + 888 28.004 * * [simplify]: Extracting #4: cost 283 inf + 39678 28.022 * * [simplify]: Extracting #5: cost 24 inf + 116942 28.045 * * [simplify]: Extracting #6: cost 0 inf + 121984 28.070 * * [simplify]: Extracting #7: cost 0 inf + 121983 28.092 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 28.092 * [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))) 28.092 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 28.093 * [simplify]: Simplifying (* 2 (* n PI)) 28.093 * * [simplify]: iters left: 4 (5 enodes) 28.094 * * [simplify]: iters left: 3 (19 enodes) 28.098 * * [simplify]: iters left: 2 (27 enodes) 28.102 * * [simplify]: iters left: 1 (32 enodes) 28.106 * * [simplify]: Extracting #0: cost 1 inf + 0 28.106 * * [simplify]: Extracting #1: cost 8 inf + 0 28.106 * * [simplify]: Extracting #2: cost 7 inf + 45 28.106 * * [simplify]: Extracting #3: cost 0 inf + 421 28.106 * [simplify]: Simplified to (* (* PI n) 2) 28.106 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.106 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 28.106 * [simplify]: Simplifying (* 2 (* n PI)) 28.106 * * [simplify]: iters left: 4 (5 enodes) 28.108 * * [simplify]: iters left: 3 (19 enodes) 28.111 * * [simplify]: iters left: 2 (27 enodes) 28.115 * * [simplify]: iters left: 1 (32 enodes) 28.120 * * [simplify]: Extracting #0: cost 1 inf + 0 28.120 * * [simplify]: Extracting #1: cost 8 inf + 0 28.120 * * [simplify]: Extracting #2: cost 7 inf + 45 28.120 * * [simplify]: Extracting #3: cost 0 inf + 421 28.120 * [simplify]: Simplified to (* (* PI n) 2) 28.120 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.120 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 28.120 * [simplify]: Simplifying (* 2 (* n PI)) 28.120 * * [simplify]: iters left: 4 (5 enodes) 28.122 * * [simplify]: iters left: 3 (19 enodes) 28.125 * * [simplify]: iters left: 2 (27 enodes) 28.129 * * [simplify]: iters left: 1 (32 enodes) 28.133 * * [simplify]: Extracting #0: cost 1 inf + 0 28.133 * * [simplify]: Extracting #1: cost 8 inf + 0 28.133 * * [simplify]: Extracting #2: cost 7 inf + 45 28.133 * * [simplify]: Extracting #3: cost 0 inf + 421 28.134 * [simplify]: Simplified to (* (* PI n) 2) 28.134 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.134 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 28.134 * [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)))))))))))))))))))))) 28.134 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.134 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 28.134 * [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)))))))) 28.134 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.135 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 28.136 * [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)))))))))))) 28.136 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.136 * * * [progress]: adding candidates to table 29.424 * * [progress]: iteration 2 / 4 29.424 * * * [progress]: picking best candidate 29.482 * * * * [pick]: Picked # 29.482 * * * [progress]: localizing error 29.534 * * * [progress]: generating rewritten candidates 29.534 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 29.549 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 29.562 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 29.569 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.607 * * * [progress]: generating series expansions 29.607 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 29.607 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 29.607 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 29.607 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.608 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.608 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.608 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.608 * [taylor]: Taking taylor expansion of 1/2 in k 29.608 * [backup-simplify]: Simplify 1/2 into 1/2 29.608 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.608 * [taylor]: Taking taylor expansion of 1 in k 29.608 * [backup-simplify]: Simplify 1 into 1 29.608 * [taylor]: Taking taylor expansion of k in k 29.608 * [backup-simplify]: Simplify 0 into 0 29.608 * [backup-simplify]: Simplify 1 into 1 29.608 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.608 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.608 * [taylor]: Taking taylor expansion of 2 in k 29.608 * [backup-simplify]: Simplify 2 into 2 29.608 * [taylor]: Taking taylor expansion of (* n PI) in k 29.608 * [taylor]: Taking taylor expansion of n in k 29.608 * [backup-simplify]: Simplify n into n 29.608 * [taylor]: Taking taylor expansion of PI in k 29.608 * [backup-simplify]: Simplify PI into PI 29.608 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.608 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.608 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.608 * [backup-simplify]: Simplify (- 0) into 0 29.609 * [backup-simplify]: Simplify (+ 1 0) into 1 29.609 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.609 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.609 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.609 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.609 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.609 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.609 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.609 * [taylor]: Taking taylor expansion of 1/2 in n 29.609 * [backup-simplify]: Simplify 1/2 into 1/2 29.609 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.609 * [taylor]: Taking taylor expansion of 1 in n 29.609 * [backup-simplify]: Simplify 1 into 1 29.609 * [taylor]: Taking taylor expansion of k in n 29.609 * [backup-simplify]: Simplify k into k 29.609 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.609 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.609 * [taylor]: Taking taylor expansion of 2 in n 29.609 * [backup-simplify]: Simplify 2 into 2 29.609 * [taylor]: Taking taylor expansion of (* n PI) in n 29.609 * [taylor]: Taking taylor expansion of n in n 29.609 * [backup-simplify]: Simplify 0 into 0 29.609 * [backup-simplify]: Simplify 1 into 1 29.609 * [taylor]: Taking taylor expansion of PI in n 29.609 * [backup-simplify]: Simplify PI into PI 29.610 * [backup-simplify]: Simplify (* 0 PI) into 0 29.610 * [backup-simplify]: Simplify (* 2 0) into 0 29.611 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.612 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.612 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.612 * [backup-simplify]: Simplify (- k) into (- k) 29.612 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.612 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.613 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.614 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.615 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.615 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.615 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.615 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.615 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.615 * [taylor]: Taking taylor expansion of 1/2 in n 29.615 * [backup-simplify]: Simplify 1/2 into 1/2 29.615 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.615 * [taylor]: Taking taylor expansion of 1 in n 29.615 * [backup-simplify]: Simplify 1 into 1 29.615 * [taylor]: Taking taylor expansion of k in n 29.615 * [backup-simplify]: Simplify k into k 29.615 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.615 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.615 * [taylor]: Taking taylor expansion of 2 in n 29.615 * [backup-simplify]: Simplify 2 into 2 29.615 * [taylor]: Taking taylor expansion of (* n PI) in n 29.615 * [taylor]: Taking taylor expansion of n in n 29.615 * [backup-simplify]: Simplify 0 into 0 29.615 * [backup-simplify]: Simplify 1 into 1 29.615 * [taylor]: Taking taylor expansion of PI in n 29.615 * [backup-simplify]: Simplify PI into PI 29.615 * [backup-simplify]: Simplify (* 0 PI) into 0 29.615 * [backup-simplify]: Simplify (* 2 0) into 0 29.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.617 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.618 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.618 * [backup-simplify]: Simplify (- k) into (- k) 29.618 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.618 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.619 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.619 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.620 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.620 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.620 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.620 * [taylor]: Taking taylor expansion of 1/2 in k 29.620 * [backup-simplify]: Simplify 1/2 into 1/2 29.620 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.620 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.620 * [taylor]: Taking taylor expansion of 1 in k 29.620 * [backup-simplify]: Simplify 1 into 1 29.620 * [taylor]: Taking taylor expansion of k in k 29.620 * [backup-simplify]: Simplify 0 into 0 29.620 * [backup-simplify]: Simplify 1 into 1 29.620 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.620 * [taylor]: Taking taylor expansion of (log n) in k 29.620 * [taylor]: Taking taylor expansion of n in k 29.620 * [backup-simplify]: Simplify n into n 29.620 * [backup-simplify]: Simplify (log n) into (log n) 29.620 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.620 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.620 * [taylor]: Taking taylor expansion of 2 in k 29.621 * [backup-simplify]: Simplify 2 into 2 29.621 * [taylor]: Taking taylor expansion of PI in k 29.621 * [backup-simplify]: Simplify PI into PI 29.621 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.621 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.622 * [backup-simplify]: Simplify (- 0) into 0 29.622 * [backup-simplify]: Simplify (+ 1 0) into 1 29.623 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.623 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.624 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.624 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.625 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.626 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.627 * [backup-simplify]: Simplify (- 0) into 0 29.628 * [backup-simplify]: Simplify (+ 0 0) into 0 29.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.629 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.630 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.631 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.631 * [taylor]: Taking taylor expansion of 0 in k 29.631 * [backup-simplify]: Simplify 0 into 0 29.631 * [backup-simplify]: Simplify 0 into 0 29.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.632 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.633 * [backup-simplify]: Simplify (+ 0 0) into 0 29.633 * [backup-simplify]: Simplify (- 1) into -1 29.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.635 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.636 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 29.637 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.639 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.641 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.643 * [backup-simplify]: Simplify (- 0) into 0 29.643 * [backup-simplify]: Simplify (+ 0 0) into 0 29.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.646 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.648 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.648 * [taylor]: Taking taylor expansion of 0 in k 29.648 * [backup-simplify]: Simplify 0 into 0 29.649 * [backup-simplify]: Simplify 0 into 0 29.649 * [backup-simplify]: Simplify 0 into 0 29.650 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.655 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.655 * [backup-simplify]: Simplify (+ 0 0) into 0 29.655 * [backup-simplify]: Simplify (- 0) into 0 29.656 * [backup-simplify]: Simplify (+ 0 0) into 0 29.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.664 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.668 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.677 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 29.678 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 29.678 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 29.678 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.678 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.678 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.678 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.678 * [taylor]: Taking taylor expansion of 1/2 in k 29.679 * [backup-simplify]: Simplify 1/2 into 1/2 29.679 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.679 * [taylor]: Taking taylor expansion of 1 in k 29.679 * [backup-simplify]: Simplify 1 into 1 29.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.679 * [taylor]: Taking taylor expansion of k in k 29.679 * [backup-simplify]: Simplify 0 into 0 29.679 * [backup-simplify]: Simplify 1 into 1 29.679 * [backup-simplify]: Simplify (/ 1 1) into 1 29.679 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.679 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.679 * [taylor]: Taking taylor expansion of 2 in k 29.679 * [backup-simplify]: Simplify 2 into 2 29.679 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.679 * [taylor]: Taking taylor expansion of PI in k 29.679 * [backup-simplify]: Simplify PI into PI 29.679 * [taylor]: Taking taylor expansion of n in k 29.679 * [backup-simplify]: Simplify n into n 29.679 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.679 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.680 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.680 * [backup-simplify]: Simplify (- 1) into -1 29.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.681 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.681 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.681 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.681 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.681 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.681 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.681 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.681 * [taylor]: Taking taylor expansion of 1/2 in n 29.681 * [backup-simplify]: Simplify 1/2 into 1/2 29.681 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.681 * [taylor]: Taking taylor expansion of 1 in n 29.681 * [backup-simplify]: Simplify 1 into 1 29.681 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.681 * [taylor]: Taking taylor expansion of k in n 29.682 * [backup-simplify]: Simplify k into k 29.682 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.682 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.682 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.682 * [taylor]: Taking taylor expansion of 2 in n 29.682 * [backup-simplify]: Simplify 2 into 2 29.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.682 * [taylor]: Taking taylor expansion of PI in n 29.682 * [backup-simplify]: Simplify PI into PI 29.682 * [taylor]: Taking taylor expansion of n in n 29.682 * [backup-simplify]: Simplify 0 into 0 29.682 * [backup-simplify]: Simplify 1 into 1 29.682 * [backup-simplify]: Simplify (/ PI 1) into PI 29.683 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.684 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.684 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.684 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.684 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.686 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.688 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.688 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.688 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.688 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.688 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.688 * [taylor]: Taking taylor expansion of 1/2 in n 29.688 * [backup-simplify]: Simplify 1/2 into 1/2 29.688 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.688 * [taylor]: Taking taylor expansion of 1 in n 29.688 * [backup-simplify]: Simplify 1 into 1 29.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.688 * [taylor]: Taking taylor expansion of k in n 29.688 * [backup-simplify]: Simplify k into k 29.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.688 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.688 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.688 * [taylor]: Taking taylor expansion of 2 in n 29.688 * [backup-simplify]: Simplify 2 into 2 29.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.688 * [taylor]: Taking taylor expansion of PI in n 29.688 * [backup-simplify]: Simplify PI into PI 29.688 * [taylor]: Taking taylor expansion of n in n 29.688 * [backup-simplify]: Simplify 0 into 0 29.688 * [backup-simplify]: Simplify 1 into 1 29.689 * [backup-simplify]: Simplify (/ PI 1) into PI 29.689 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.696 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.696 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.696 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.696 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.698 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.700 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.701 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.701 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.701 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.701 * [taylor]: Taking taylor expansion of 1/2 in k 29.701 * [backup-simplify]: Simplify 1/2 into 1/2 29.701 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.701 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.701 * [taylor]: Taking taylor expansion of 1 in k 29.701 * [backup-simplify]: Simplify 1 into 1 29.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.701 * [taylor]: Taking taylor expansion of k in k 29.701 * [backup-simplify]: Simplify 0 into 0 29.701 * [backup-simplify]: Simplify 1 into 1 29.702 * [backup-simplify]: Simplify (/ 1 1) into 1 29.702 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.702 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.702 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.702 * [taylor]: Taking taylor expansion of 2 in k 29.702 * [backup-simplify]: Simplify 2 into 2 29.702 * [taylor]: Taking taylor expansion of PI in k 29.702 * [backup-simplify]: Simplify PI into PI 29.702 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.703 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.703 * [taylor]: Taking taylor expansion of (log n) in k 29.704 * [taylor]: Taking taylor expansion of n in k 29.704 * [backup-simplify]: Simplify n into n 29.704 * [backup-simplify]: Simplify (log n) into (log n) 29.704 * [backup-simplify]: Simplify (- 1) into -1 29.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.705 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.706 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.707 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.708 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.709 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.710 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.714 * [backup-simplify]: Simplify (- 0) into 0 29.714 * [backup-simplify]: Simplify (+ 0 0) into 0 29.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.718 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.720 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.720 * [taylor]: Taking taylor expansion of 0 in k 29.720 * [backup-simplify]: Simplify 0 into 0 29.720 * [backup-simplify]: Simplify 0 into 0 29.720 * [backup-simplify]: Simplify 0 into 0 29.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.726 * [backup-simplify]: Simplify (- 0) into 0 29.726 * [backup-simplify]: Simplify (+ 0 0) into 0 29.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.730 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.733 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.733 * [taylor]: Taking taylor expansion of 0 in k 29.733 * [backup-simplify]: Simplify 0 into 0 29.733 * [backup-simplify]: Simplify 0 into 0 29.733 * [backup-simplify]: Simplify 0 into 0 29.733 * [backup-simplify]: Simplify 0 into 0 29.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.741 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.741 * [backup-simplify]: Simplify (- 0) into 0 29.742 * [backup-simplify]: Simplify (+ 0 0) into 0 29.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.746 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.749 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.749 * [taylor]: Taking taylor expansion of 0 in k 29.749 * [backup-simplify]: Simplify 0 into 0 29.749 * [backup-simplify]: Simplify 0 into 0 29.750 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 29.751 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 29.751 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 29.751 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.751 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.751 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.751 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.751 * [taylor]: Taking taylor expansion of 1/2 in k 29.751 * [backup-simplify]: Simplify 1/2 into 1/2 29.751 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.751 * [taylor]: Taking taylor expansion of k in k 29.751 * [backup-simplify]: Simplify 0 into 0 29.751 * [backup-simplify]: Simplify 1 into 1 29.752 * [backup-simplify]: Simplify (/ 1 1) into 1 29.752 * [taylor]: Taking taylor expansion of 1 in k 29.752 * [backup-simplify]: Simplify 1 into 1 29.752 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.752 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.752 * [taylor]: Taking taylor expansion of -2 in k 29.752 * [backup-simplify]: Simplify -2 into -2 29.752 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.752 * [taylor]: Taking taylor expansion of PI in k 29.752 * [backup-simplify]: Simplify PI into PI 29.752 * [taylor]: Taking taylor expansion of n in k 29.752 * [backup-simplify]: Simplify n into n 29.752 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.752 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.752 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.753 * [backup-simplify]: Simplify (+ 1 0) into 1 29.753 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.753 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.753 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.753 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.753 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.753 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.753 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.753 * [taylor]: Taking taylor expansion of 1/2 in n 29.753 * [backup-simplify]: Simplify 1/2 into 1/2 29.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.754 * [taylor]: Taking taylor expansion of k in n 29.754 * [backup-simplify]: Simplify k into k 29.754 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.754 * [taylor]: Taking taylor expansion of 1 in n 29.754 * [backup-simplify]: Simplify 1 into 1 29.754 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.754 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.754 * [taylor]: Taking taylor expansion of -2 in n 29.754 * [backup-simplify]: Simplify -2 into -2 29.754 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.754 * [taylor]: Taking taylor expansion of PI in n 29.754 * [backup-simplify]: Simplify PI into PI 29.754 * [taylor]: Taking taylor expansion of n in n 29.754 * [backup-simplify]: Simplify 0 into 0 29.754 * [backup-simplify]: Simplify 1 into 1 29.754 * [backup-simplify]: Simplify (/ PI 1) into PI 29.755 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.756 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.756 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.756 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.758 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.759 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.759 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.760 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.760 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.760 * [taylor]: Taking taylor expansion of 1/2 in n 29.760 * [backup-simplify]: Simplify 1/2 into 1/2 29.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.760 * [taylor]: Taking taylor expansion of k in n 29.760 * [backup-simplify]: Simplify k into k 29.760 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.760 * [taylor]: Taking taylor expansion of 1 in n 29.760 * [backup-simplify]: Simplify 1 into 1 29.760 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.760 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.760 * [taylor]: Taking taylor expansion of -2 in n 29.760 * [backup-simplify]: Simplify -2 into -2 29.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.760 * [taylor]: Taking taylor expansion of PI in n 29.760 * [backup-simplify]: Simplify PI into PI 29.760 * [taylor]: Taking taylor expansion of n in n 29.760 * [backup-simplify]: Simplify 0 into 0 29.760 * [backup-simplify]: Simplify 1 into 1 29.761 * [backup-simplify]: Simplify (/ PI 1) into PI 29.761 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.762 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.762 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.762 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.765 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.766 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.766 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.766 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.766 * [taylor]: Taking taylor expansion of 1/2 in k 29.766 * [backup-simplify]: Simplify 1/2 into 1/2 29.766 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.766 * [taylor]: Taking taylor expansion of k in k 29.766 * [backup-simplify]: Simplify 0 into 0 29.766 * [backup-simplify]: Simplify 1 into 1 29.766 * [backup-simplify]: Simplify (/ 1 1) into 1 29.766 * [taylor]: Taking taylor expansion of 1 in k 29.766 * [backup-simplify]: Simplify 1 into 1 29.767 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.767 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.767 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.767 * [taylor]: Taking taylor expansion of -2 in k 29.767 * [backup-simplify]: Simplify -2 into -2 29.767 * [taylor]: Taking taylor expansion of PI in k 29.767 * [backup-simplify]: Simplify PI into PI 29.767 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.768 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.768 * [taylor]: Taking taylor expansion of (log n) in k 29.768 * [taylor]: Taking taylor expansion of n in k 29.768 * [backup-simplify]: Simplify n into n 29.768 * [backup-simplify]: Simplify (log n) into (log n) 29.769 * [backup-simplify]: Simplify (+ 1 0) into 1 29.769 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.770 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.771 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.772 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.773 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.774 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.775 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.778 * [backup-simplify]: Simplify (+ 0 0) into 0 29.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.781 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.782 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.782 * [taylor]: Taking taylor expansion of 0 in k 29.783 * [backup-simplify]: Simplify 0 into 0 29.783 * [backup-simplify]: Simplify 0 into 0 29.783 * [backup-simplify]: Simplify 0 into 0 29.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.785 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.789 * [backup-simplify]: Simplify (+ 0 0) into 0 29.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.793 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.793 * [taylor]: Taking taylor expansion of 0 in k 29.793 * [backup-simplify]: Simplify 0 into 0 29.793 * [backup-simplify]: Simplify 0 into 0 29.793 * [backup-simplify]: Simplify 0 into 0 29.793 * [backup-simplify]: Simplify 0 into 0 29.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.794 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.797 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 29.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.798 * [backup-simplify]: Simplify (+ 0 0) into 0 29.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 29.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.801 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 29.803 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.803 * [taylor]: Taking taylor expansion of 0 in k 29.803 * [backup-simplify]: Simplify 0 into 0 29.803 * [backup-simplify]: Simplify 0 into 0 29.803 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 29.803 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 29.804 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.804 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.804 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.804 * [taylor]: Taking taylor expansion of 2 in n 29.804 * [backup-simplify]: Simplify 2 into 2 29.804 * [taylor]: Taking taylor expansion of (* n PI) in n 29.804 * [taylor]: Taking taylor expansion of n in n 29.804 * [backup-simplify]: Simplify 0 into 0 29.804 * [backup-simplify]: Simplify 1 into 1 29.804 * [taylor]: Taking taylor expansion of PI in n 29.804 * [backup-simplify]: Simplify PI into PI 29.804 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.804 * [taylor]: Taking taylor expansion of 2 in n 29.804 * [backup-simplify]: Simplify 2 into 2 29.804 * [taylor]: Taking taylor expansion of (* n PI) in n 29.804 * [taylor]: Taking taylor expansion of n in n 29.804 * [backup-simplify]: Simplify 0 into 0 29.804 * [backup-simplify]: Simplify 1 into 1 29.804 * [taylor]: Taking taylor expansion of PI in n 29.804 * [backup-simplify]: Simplify PI into PI 29.804 * [backup-simplify]: Simplify (* 0 PI) into 0 29.805 * [backup-simplify]: Simplify (* 2 0) into 0 29.805 * [backup-simplify]: Simplify 0 into 0 29.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.807 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.807 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.808 * [backup-simplify]: Simplify 0 into 0 29.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.809 * [backup-simplify]: Simplify 0 into 0 29.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.811 * [backup-simplify]: Simplify 0 into 0 29.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.813 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.813 * [backup-simplify]: Simplify 0 into 0 29.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.815 * [backup-simplify]: Simplify 0 into 0 29.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.817 * [backup-simplify]: Simplify 0 into 0 29.817 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.817 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 29.817 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.817 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.818 * [taylor]: Taking taylor expansion of 2 in n 29.818 * [backup-simplify]: Simplify 2 into 2 29.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.818 * [taylor]: Taking taylor expansion of PI in n 29.818 * [backup-simplify]: Simplify PI into PI 29.818 * [taylor]: Taking taylor expansion of n in n 29.818 * [backup-simplify]: Simplify 0 into 0 29.818 * [backup-simplify]: Simplify 1 into 1 29.818 * [backup-simplify]: Simplify (/ PI 1) into PI 29.818 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.818 * [taylor]: Taking taylor expansion of 2 in n 29.818 * [backup-simplify]: Simplify 2 into 2 29.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.818 * [taylor]: Taking taylor expansion of PI in n 29.818 * [backup-simplify]: Simplify PI into PI 29.818 * [taylor]: Taking taylor expansion of n in n 29.818 * [backup-simplify]: Simplify 0 into 0 29.818 * [backup-simplify]: Simplify 1 into 1 29.818 * [backup-simplify]: Simplify (/ PI 1) into PI 29.819 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.823 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.824 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.824 * [backup-simplify]: Simplify 0 into 0 29.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.826 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.826 * [backup-simplify]: Simplify 0 into 0 29.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.828 * [backup-simplify]: Simplify 0 into 0 29.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.831 * [backup-simplify]: Simplify 0 into 0 29.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.833 * [backup-simplify]: Simplify 0 into 0 29.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.836 * [backup-simplify]: Simplify 0 into 0 29.837 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.837 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 29.837 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.837 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.838 * [taylor]: Taking taylor expansion of -2 in n 29.838 * [backup-simplify]: Simplify -2 into -2 29.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.838 * [taylor]: Taking taylor expansion of PI in n 29.838 * [backup-simplify]: Simplify PI into PI 29.838 * [taylor]: Taking taylor expansion of n in n 29.838 * [backup-simplify]: Simplify 0 into 0 29.838 * [backup-simplify]: Simplify 1 into 1 29.838 * [backup-simplify]: Simplify (/ PI 1) into PI 29.838 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.838 * [taylor]: Taking taylor expansion of -2 in n 29.838 * [backup-simplify]: Simplify -2 into -2 29.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.838 * [taylor]: Taking taylor expansion of PI in n 29.838 * [backup-simplify]: Simplify PI into PI 29.838 * [taylor]: Taking taylor expansion of n in n 29.838 * [backup-simplify]: Simplify 0 into 0 29.838 * [backup-simplify]: Simplify 1 into 1 29.839 * [backup-simplify]: Simplify (/ PI 1) into PI 29.840 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.840 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.842 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.842 * [backup-simplify]: Simplify 0 into 0 29.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.844 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.844 * [backup-simplify]: Simplify 0 into 0 29.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.846 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.846 * [backup-simplify]: Simplify 0 into 0 29.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.849 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.849 * [backup-simplify]: Simplify 0 into 0 29.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.851 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.852 * [backup-simplify]: Simplify 0 into 0 29.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.854 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.854 * [backup-simplify]: Simplify 0 into 0 29.855 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.855 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 29.855 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 29.855 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 29.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.855 * [taylor]: Taking taylor expansion of k in k 29.855 * [backup-simplify]: Simplify 0 into 0 29.855 * [backup-simplify]: Simplify 1 into 1 29.856 * [backup-simplify]: Simplify (/ 1 1) into 1 29.856 * [backup-simplify]: Simplify (sqrt 0) into 0 29.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.858 * [taylor]: Taking taylor expansion of k in k 29.858 * [backup-simplify]: Simplify 0 into 0 29.858 * [backup-simplify]: Simplify 1 into 1 29.858 * [backup-simplify]: Simplify (/ 1 1) into 1 29.858 * [backup-simplify]: Simplify (sqrt 0) into 0 29.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.860 * [backup-simplify]: Simplify 0 into 0 29.860 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.864 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.864 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.869 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.869 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 29.869 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 29.869 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 29.869 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.869 * [taylor]: Taking taylor expansion of k in k 29.869 * [backup-simplify]: Simplify 0 into 0 29.869 * [backup-simplify]: Simplify 1 into 1 29.869 * [backup-simplify]: Simplify (sqrt 0) into 0 29.871 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.871 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.871 * [taylor]: Taking taylor expansion of k in k 29.871 * [backup-simplify]: Simplify 0 into 0 29.871 * [backup-simplify]: Simplify 1 into 1 29.871 * [backup-simplify]: Simplify (sqrt 0) into 0 29.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.873 * [backup-simplify]: Simplify 0 into 0 29.873 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.876 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.880 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 29.880 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 29.880 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 29.880 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.880 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.880 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.880 * [taylor]: Taking taylor expansion of -1 in k 29.880 * [backup-simplify]: Simplify -1 into -1 29.880 * [taylor]: Taking taylor expansion of k in k 29.881 * [backup-simplify]: Simplify 0 into 0 29.881 * [backup-simplify]: Simplify 1 into 1 29.881 * [backup-simplify]: Simplify (/ -1 1) into -1 29.881 * [backup-simplify]: Simplify (sqrt 0) into 0 29.883 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.883 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.883 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.883 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.883 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.883 * [taylor]: Taking taylor expansion of -1 in k 29.883 * [backup-simplify]: Simplify -1 into -1 29.883 * [taylor]: Taking taylor expansion of k in k 29.883 * [backup-simplify]: Simplify 0 into 0 29.883 * [backup-simplify]: Simplify 1 into 1 29.885 * [backup-simplify]: Simplify (/ -1 1) into -1 29.886 * [backup-simplify]: Simplify (sqrt 0) into 0 29.887 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.888 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.888 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.892 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.894 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 29.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.903 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 29.903 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.904 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 29.904 * * * * [progress]: [ 4 / 4 ] generating series at (2) 29.905 * [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))) 29.905 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 29.905 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.906 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.906 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.906 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.906 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.906 * [taylor]: Taking taylor expansion of 1/2 in n 29.906 * [backup-simplify]: Simplify 1/2 into 1/2 29.906 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.906 * [taylor]: Taking taylor expansion of 1 in n 29.906 * [backup-simplify]: Simplify 1 into 1 29.906 * [taylor]: Taking taylor expansion of k in n 29.906 * [backup-simplify]: Simplify k into k 29.906 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.906 * [taylor]: Taking taylor expansion of 2 in n 29.906 * [backup-simplify]: Simplify 2 into 2 29.906 * [taylor]: Taking taylor expansion of (* n PI) in n 29.906 * [taylor]: Taking taylor expansion of n in n 29.906 * [backup-simplify]: Simplify 0 into 0 29.906 * [backup-simplify]: Simplify 1 into 1 29.906 * [taylor]: Taking taylor expansion of PI in n 29.906 * [backup-simplify]: Simplify PI into PI 29.907 * [backup-simplify]: Simplify (* 0 PI) into 0 29.907 * [backup-simplify]: Simplify (* 2 0) into 0 29.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.910 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.911 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.911 * [backup-simplify]: Simplify (- k) into (- k) 29.911 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.911 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.914 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.915 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.915 * [taylor]: Taking taylor expansion of k in n 29.915 * [backup-simplify]: Simplify k into k 29.915 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.915 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.915 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.915 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.915 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.915 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.915 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.915 * [taylor]: Taking taylor expansion of 1/2 in k 29.915 * [backup-simplify]: Simplify 1/2 into 1/2 29.915 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.915 * [taylor]: Taking taylor expansion of 1 in k 29.915 * [backup-simplify]: Simplify 1 into 1 29.915 * [taylor]: Taking taylor expansion of k in k 29.915 * [backup-simplify]: Simplify 0 into 0 29.916 * [backup-simplify]: Simplify 1 into 1 29.916 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.916 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.916 * [taylor]: Taking taylor expansion of 2 in k 29.916 * [backup-simplify]: Simplify 2 into 2 29.916 * [taylor]: Taking taylor expansion of (* n PI) in k 29.916 * [taylor]: Taking taylor expansion of n in k 29.916 * [backup-simplify]: Simplify n into n 29.916 * [taylor]: Taking taylor expansion of PI in k 29.916 * [backup-simplify]: Simplify PI into PI 29.916 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.916 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.916 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.916 * [backup-simplify]: Simplify (- 0) into 0 29.917 * [backup-simplify]: Simplify (+ 1 0) into 1 29.917 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.917 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.917 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.917 * [taylor]: Taking taylor expansion of k in k 29.918 * [backup-simplify]: Simplify 0 into 0 29.918 * [backup-simplify]: Simplify 1 into 1 29.918 * [backup-simplify]: Simplify (/ 1 1) into 1 29.918 * [backup-simplify]: Simplify (sqrt 0) into 0 29.920 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.920 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.920 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.920 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.920 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.920 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.920 * [taylor]: Taking taylor expansion of 1/2 in k 29.920 * [backup-simplify]: Simplify 1/2 into 1/2 29.920 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.920 * [taylor]: Taking taylor expansion of 1 in k 29.920 * [backup-simplify]: Simplify 1 into 1 29.920 * [taylor]: Taking taylor expansion of k in k 29.920 * [backup-simplify]: Simplify 0 into 0 29.920 * [backup-simplify]: Simplify 1 into 1 29.920 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.920 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.920 * [taylor]: Taking taylor expansion of 2 in k 29.920 * [backup-simplify]: Simplify 2 into 2 29.920 * [taylor]: Taking taylor expansion of (* n PI) in k 29.920 * [taylor]: Taking taylor expansion of n in k 29.920 * [backup-simplify]: Simplify n into n 29.920 * [taylor]: Taking taylor expansion of PI in k 29.920 * [backup-simplify]: Simplify PI into PI 29.920 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.920 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.921 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.921 * [backup-simplify]: Simplify (- 0) into 0 29.921 * [backup-simplify]: Simplify (+ 1 0) into 1 29.922 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.922 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.922 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.922 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.922 * [taylor]: Taking taylor expansion of k in k 29.922 * [backup-simplify]: Simplify 0 into 0 29.922 * [backup-simplify]: Simplify 1 into 1 29.922 * [backup-simplify]: Simplify (/ 1 1) into 1 29.923 * [backup-simplify]: Simplify (sqrt 0) into 0 29.924 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.924 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 29.924 * [taylor]: Taking taylor expansion of 0 in n 29.925 * [backup-simplify]: Simplify 0 into 0 29.925 * [backup-simplify]: Simplify 0 into 0 29.925 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 29.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 29.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 29.927 * [backup-simplify]: Simplify (- 1) into -1 29.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.928 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 29.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 29.929 * [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))))) 29.930 * [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))))) 29.930 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 29.930 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.930 * [taylor]: Taking taylor expansion of +nan.0 in n 29.930 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.930 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.930 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.930 * [taylor]: Taking taylor expansion of 2 in n 29.930 * [backup-simplify]: Simplify 2 into 2 29.930 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.931 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.931 * [taylor]: Taking taylor expansion of (* n PI) in n 29.931 * [taylor]: Taking taylor expansion of n in n 29.931 * [backup-simplify]: Simplify 0 into 0 29.931 * [backup-simplify]: Simplify 1 into 1 29.931 * [taylor]: Taking taylor expansion of PI in n 29.931 * [backup-simplify]: Simplify PI into PI 29.932 * [backup-simplify]: Simplify (* 0 PI) into 0 29.933 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.933 * [backup-simplify]: Simplify (sqrt 0) into 0 29.935 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.936 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.937 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.937 * [backup-simplify]: Simplify (- 0) into 0 29.937 * [backup-simplify]: Simplify 0 into 0 29.937 * [backup-simplify]: Simplify 0 into 0 29.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.942 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 29.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 29.944 * [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 29.944 * [backup-simplify]: Simplify (- 0) into 0 29.945 * [backup-simplify]: Simplify (+ 0 0) into 0 29.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 29.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 29.948 * [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))) 29.949 * [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))))))) 29.949 * [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 29.949 * [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 29.949 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 29.949 * [taylor]: Taking taylor expansion of +nan.0 in n 29.949 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.949 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 29.949 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 29.949 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.949 * [taylor]: Taking taylor expansion of 2 in n 29.949 * [backup-simplify]: Simplify 2 into 2 29.949 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.950 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.950 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.950 * [taylor]: Taking taylor expansion of 2 in n 29.950 * [backup-simplify]: Simplify 2 into 2 29.950 * [taylor]: Taking taylor expansion of (* n PI) in n 29.950 * [taylor]: Taking taylor expansion of n in n 29.950 * [backup-simplify]: Simplify 0 into 0 29.950 * [backup-simplify]: Simplify 1 into 1 29.950 * [taylor]: Taking taylor expansion of PI in n 29.950 * [backup-simplify]: Simplify PI into PI 29.951 * [backup-simplify]: Simplify (* 0 PI) into 0 29.951 * [backup-simplify]: Simplify (* 2 0) into 0 29.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.954 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.955 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.955 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.955 * [taylor]: Taking taylor expansion of (* n PI) in n 29.955 * [taylor]: Taking taylor expansion of n in n 29.955 * [backup-simplify]: Simplify 0 into 0 29.955 * [backup-simplify]: Simplify 1 into 1 29.955 * [taylor]: Taking taylor expansion of PI in n 29.955 * [backup-simplify]: Simplify PI into PI 29.956 * [backup-simplify]: Simplify (* 0 PI) into 0 29.957 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.958 * [backup-simplify]: Simplify (sqrt 0) into 0 29.959 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.959 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 29.959 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.959 * [taylor]: Taking taylor expansion of +nan.0 in n 29.959 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.959 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.959 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.959 * [taylor]: Taking taylor expansion of 2 in n 29.959 * [backup-simplify]: Simplify 2 into 2 29.960 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.961 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.961 * [taylor]: Taking taylor expansion of (* n PI) in n 29.961 * [taylor]: Taking taylor expansion of n in n 29.961 * [backup-simplify]: Simplify 0 into 0 29.961 * [backup-simplify]: Simplify 1 into 1 29.961 * [taylor]: Taking taylor expansion of PI in n 29.961 * [backup-simplify]: Simplify PI into PI 29.961 * [backup-simplify]: Simplify (* 0 PI) into 0 29.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.963 * [backup-simplify]: Simplify (sqrt 0) into 0 29.965 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.967 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 29.975 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 29.976 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.976 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.977 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.977 * [backup-simplify]: Simplify (- 0) into 0 29.977 * [backup-simplify]: Simplify (+ 0 0) into 0 29.977 * [backup-simplify]: Simplify (- 0) into 0 29.977 * [backup-simplify]: Simplify 0 into 0 29.979 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.982 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.984 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.985 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.986 * [backup-simplify]: Simplify 0 into 0 29.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.989 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 29.991 * [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 29.992 * [backup-simplify]: Simplify (- 0) into 0 29.992 * [backup-simplify]: Simplify (+ 0 0) into 0 29.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 29.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 29.994 * [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))) 29.995 * [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))))))))) 29.995 * [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 29.995 * [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 29.995 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 29.995 * [taylor]: Taking taylor expansion of +nan.0 in n 29.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.995 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 29.995 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 29.995 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.995 * [taylor]: Taking taylor expansion of 2 in n 29.995 * [backup-simplify]: Simplify 2 into 2 29.996 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.996 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.996 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.996 * [taylor]: Taking taylor expansion of 2 in n 29.996 * [backup-simplify]: Simplify 2 into 2 29.996 * [taylor]: Taking taylor expansion of (* n PI) in n 29.996 * [taylor]: Taking taylor expansion of n in n 29.996 * [backup-simplify]: Simplify 0 into 0 29.996 * [backup-simplify]: Simplify 1 into 1 29.996 * [taylor]: Taking taylor expansion of PI in n 29.996 * [backup-simplify]: Simplify PI into PI 29.996 * [backup-simplify]: Simplify (* 0 PI) into 0 29.997 * [backup-simplify]: Simplify (* 2 0) into 0 29.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.999 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.999 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.999 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.999 * [taylor]: Taking taylor expansion of (* n PI) in n 29.999 * [taylor]: Taking taylor expansion of n in n 29.999 * [backup-simplify]: Simplify 0 into 0 29.999 * [backup-simplify]: Simplify 1 into 1 29.999 * [taylor]: Taking taylor expansion of PI in n 29.999 * [backup-simplify]: Simplify PI into PI 30.000 * [backup-simplify]: Simplify (* 0 PI) into 0 30.000 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.001 * [backup-simplify]: Simplify (sqrt 0) into 0 30.002 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.002 * [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 30.002 * [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 30.002 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 30.002 * [taylor]: Taking taylor expansion of +nan.0 in n 30.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.002 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 30.002 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.002 * [taylor]: Taking taylor expansion of 2 in n 30.002 * [backup-simplify]: Simplify 2 into 2 30.002 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.002 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.002 * [taylor]: Taking taylor expansion of (* n PI) in n 30.002 * [taylor]: Taking taylor expansion of n in n 30.002 * [backup-simplify]: Simplify 0 into 0 30.002 * [backup-simplify]: Simplify 1 into 1 30.002 * [taylor]: Taking taylor expansion of PI in n 30.002 * [backup-simplify]: Simplify PI into PI 30.003 * [backup-simplify]: Simplify (* 0 PI) into 0 30.004 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.004 * [backup-simplify]: Simplify (sqrt 0) into 0 30.005 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.005 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 30.005 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 30.005 * [taylor]: Taking taylor expansion of +nan.0 in n 30.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.005 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 30.005 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 30.005 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.005 * [taylor]: Taking taylor expansion of 2 in n 30.005 * [backup-simplify]: Simplify 2 into 2 30.005 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.006 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 30.006 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.006 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.006 * [taylor]: Taking taylor expansion of 2 in n 30.006 * [backup-simplify]: Simplify 2 into 2 30.006 * [taylor]: Taking taylor expansion of (* n PI) in n 30.006 * [taylor]: Taking taylor expansion of n in n 30.006 * [backup-simplify]: Simplify 0 into 0 30.006 * [backup-simplify]: Simplify 1 into 1 30.006 * [taylor]: Taking taylor expansion of PI in n 30.006 * [backup-simplify]: Simplify PI into PI 30.006 * [backup-simplify]: Simplify (* 0 PI) into 0 30.006 * [backup-simplify]: Simplify (* 2 0) into 0 30.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.009 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.009 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.010 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.010 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.010 * [taylor]: Taking taylor expansion of (* n PI) in n 30.010 * [taylor]: Taking taylor expansion of n in n 30.010 * [backup-simplify]: Simplify 0 into 0 30.010 * [backup-simplify]: Simplify 1 into 1 30.010 * [taylor]: Taking taylor expansion of PI in n 30.010 * [backup-simplify]: Simplify PI into PI 30.010 * [backup-simplify]: Simplify (* 0 PI) into 0 30.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.012 * [backup-simplify]: Simplify (sqrt 0) into 0 30.012 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.013 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.014 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 30.015 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 30.015 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.016 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 30.016 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.017 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.018 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.019 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 30.021 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 30.022 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 30.023 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.023 * [backup-simplify]: Simplify (- 0) into 0 30.023 * [backup-simplify]: Simplify (+ 0 0) into 0 30.024 * [backup-simplify]: Simplify (- 0) into 0 30.024 * [backup-simplify]: Simplify (+ 0 0) into 0 30.024 * [backup-simplify]: Simplify (- 0) into 0 30.024 * [backup-simplify]: Simplify 0 into 0 30.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.031 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.033 * [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)))))))) 30.040 * [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)))))))) 30.043 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.048 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.051 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 30.060 * [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)))))))))) 30.068 * [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))))))) 30.075 * [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))))))) 30.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.081 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 30.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 30.090 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.095 * [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)))) 30.097 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.099 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.107 * [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))))))))))))) 30.108 * [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)) 30.108 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 30.108 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 30.108 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.108 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.108 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.108 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.108 * [taylor]: Taking taylor expansion of 1/2 in n 30.108 * [backup-simplify]: Simplify 1/2 into 1/2 30.108 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.108 * [taylor]: Taking taylor expansion of 1 in n 30.108 * [backup-simplify]: Simplify 1 into 1 30.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.108 * [taylor]: Taking taylor expansion of k in n 30.108 * [backup-simplify]: Simplify k into k 30.108 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.108 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.108 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.108 * [taylor]: Taking taylor expansion of 2 in n 30.108 * [backup-simplify]: Simplify 2 into 2 30.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.108 * [taylor]: Taking taylor expansion of PI in n 30.108 * [backup-simplify]: Simplify PI into PI 30.108 * [taylor]: Taking taylor expansion of n in n 30.108 * [backup-simplify]: Simplify 0 into 0 30.108 * [backup-simplify]: Simplify 1 into 1 30.109 * [backup-simplify]: Simplify (/ PI 1) into PI 30.109 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.109 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.109 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.110 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.110 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.111 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.112 * [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))))) 30.112 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.112 * [taylor]: Taking taylor expansion of k in n 30.112 * [backup-simplify]: Simplify k into k 30.112 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.112 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 30.112 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.112 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.112 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.112 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.112 * [taylor]: Taking taylor expansion of 1/2 in k 30.112 * [backup-simplify]: Simplify 1/2 into 1/2 30.112 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.112 * [taylor]: Taking taylor expansion of 1 in k 30.112 * [backup-simplify]: Simplify 1 into 1 30.112 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.112 * [taylor]: Taking taylor expansion of k in k 30.112 * [backup-simplify]: Simplify 0 into 0 30.112 * [backup-simplify]: Simplify 1 into 1 30.112 * [backup-simplify]: Simplify (/ 1 1) into 1 30.112 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.113 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.113 * [taylor]: Taking taylor expansion of 2 in k 30.113 * [backup-simplify]: Simplify 2 into 2 30.113 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.113 * [taylor]: Taking taylor expansion of PI in k 30.113 * [backup-simplify]: Simplify PI into PI 30.113 * [taylor]: Taking taylor expansion of n in k 30.113 * [backup-simplify]: Simplify n into n 30.113 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.113 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.113 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.113 * [backup-simplify]: Simplify (- 1) into -1 30.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.114 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.114 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.114 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.114 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.114 * [taylor]: Taking taylor expansion of k in k 30.114 * [backup-simplify]: Simplify 0 into 0 30.114 * [backup-simplify]: Simplify 1 into 1 30.114 * [backup-simplify]: Simplify (sqrt 0) into 0 30.115 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.115 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 30.115 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.115 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.115 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.116 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.116 * [taylor]: Taking taylor expansion of 1/2 in k 30.116 * [backup-simplify]: Simplify 1/2 into 1/2 30.116 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.116 * [taylor]: Taking taylor expansion of 1 in k 30.116 * [backup-simplify]: Simplify 1 into 1 30.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.116 * [taylor]: Taking taylor expansion of k in k 30.116 * [backup-simplify]: Simplify 0 into 0 30.116 * [backup-simplify]: Simplify 1 into 1 30.116 * [backup-simplify]: Simplify (/ 1 1) into 1 30.116 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.116 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.116 * [taylor]: Taking taylor expansion of 2 in k 30.116 * [backup-simplify]: Simplify 2 into 2 30.116 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.116 * [taylor]: Taking taylor expansion of PI in k 30.116 * [backup-simplify]: Simplify PI into PI 30.116 * [taylor]: Taking taylor expansion of n in k 30.116 * [backup-simplify]: Simplify n into n 30.116 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.116 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.116 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.117 * [backup-simplify]: Simplify (- 1) into -1 30.117 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.117 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.117 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.118 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.118 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.118 * [taylor]: Taking taylor expansion of k in k 30.118 * [backup-simplify]: Simplify 0 into 0 30.118 * [backup-simplify]: Simplify 1 into 1 30.118 * [backup-simplify]: Simplify (sqrt 0) into 0 30.119 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.119 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 30.119 * [taylor]: Taking taylor expansion of 0 in n 30.119 * [backup-simplify]: Simplify 0 into 0 30.119 * [backup-simplify]: Simplify 0 into 0 30.119 * [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)))))))) 30.119 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.120 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.120 * [taylor]: Taking taylor expansion of +nan.0 in n 30.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.120 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.120 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.120 * [taylor]: Taking taylor expansion of 1/2 in n 30.120 * [backup-simplify]: Simplify 1/2 into 1/2 30.120 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.120 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.120 * [taylor]: Taking taylor expansion of 1 in n 30.120 * [backup-simplify]: Simplify 1 into 1 30.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.120 * [taylor]: Taking taylor expansion of k in n 30.120 * [backup-simplify]: Simplify k into k 30.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.120 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.120 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.120 * [taylor]: Taking taylor expansion of 2 in n 30.120 * [backup-simplify]: Simplify 2 into 2 30.120 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.120 * [taylor]: Taking taylor expansion of PI in n 30.120 * [backup-simplify]: Simplify PI into PI 30.120 * [taylor]: Taking taylor expansion of n in n 30.120 * [backup-simplify]: Simplify 0 into 0 30.120 * [backup-simplify]: Simplify 1 into 1 30.120 * [backup-simplify]: Simplify (/ PI 1) into PI 30.121 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.121 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.121 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.121 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.123 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.124 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.124 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.125 * [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)))))) 30.126 * [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))))))) 30.126 * [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))))))) 30.126 * [backup-simplify]: Simplify 0 into 0 30.128 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.129 * [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)))))))) 30.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.129 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.129 * [taylor]: Taking taylor expansion of +nan.0 in n 30.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.129 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.129 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.129 * [taylor]: Taking taylor expansion of 1/2 in n 30.129 * [backup-simplify]: Simplify 1/2 into 1/2 30.129 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.129 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.129 * [taylor]: Taking taylor expansion of 1 in n 30.129 * [backup-simplify]: Simplify 1 into 1 30.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.129 * [taylor]: Taking taylor expansion of k in n 30.129 * [backup-simplify]: Simplify k into k 30.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.129 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.129 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.129 * [taylor]: Taking taylor expansion of 2 in n 30.129 * [backup-simplify]: Simplify 2 into 2 30.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.129 * [taylor]: Taking taylor expansion of PI in n 30.129 * [backup-simplify]: Simplify PI into PI 30.129 * [taylor]: Taking taylor expansion of n in n 30.129 * [backup-simplify]: Simplify 0 into 0 30.129 * [backup-simplify]: Simplify 1 into 1 30.129 * [backup-simplify]: Simplify (/ PI 1) into PI 30.130 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.130 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.130 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.130 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.131 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.132 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.133 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.134 * [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))))) 30.135 * [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)))))) 30.137 * [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))))))) 30.138 * [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))))))) 30.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.140 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.142 * [backup-simplify]: Simplify (- 0) into 0 30.142 * [backup-simplify]: Simplify (+ 0 0) into 0 30.144 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.145 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 30.148 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.150 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 30.150 * [backup-simplify]: Simplify (- 0) into 0 30.150 * [backup-simplify]: Simplify 0 into 0 30.150 * [backup-simplify]: Simplify 0 into 0 30.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.155 * [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)))))))) 30.155 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.155 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.155 * [taylor]: Taking taylor expansion of +nan.0 in n 30.155 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.155 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.156 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.156 * [taylor]: Taking taylor expansion of 1/2 in n 30.156 * [backup-simplify]: Simplify 1/2 into 1/2 30.156 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.156 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.156 * [taylor]: Taking taylor expansion of 1 in n 30.156 * [backup-simplify]: Simplify 1 into 1 30.156 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.156 * [taylor]: Taking taylor expansion of k in n 30.156 * [backup-simplify]: Simplify k into k 30.156 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.156 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.156 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.156 * [taylor]: Taking taylor expansion of 2 in n 30.156 * [backup-simplify]: Simplify 2 into 2 30.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.156 * [taylor]: Taking taylor expansion of PI in n 30.156 * [backup-simplify]: Simplify PI into PI 30.156 * [taylor]: Taking taylor expansion of n in n 30.156 * [backup-simplify]: Simplify 0 into 0 30.156 * [backup-simplify]: Simplify 1 into 1 30.157 * [backup-simplify]: Simplify (/ PI 1) into PI 30.157 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.158 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.158 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.158 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.160 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.161 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.162 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.163 * [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))))) 30.164 * [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)))))) 30.165 * [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))))))) 30.166 * [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))))))) 30.170 * [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)))))))) 30.171 * [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))) 30.171 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 30.171 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 30.171 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.171 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.171 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.171 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.171 * [taylor]: Taking taylor expansion of 1/2 in n 30.171 * [backup-simplify]: Simplify 1/2 into 1/2 30.171 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.171 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.171 * [taylor]: Taking taylor expansion of k in n 30.171 * [backup-simplify]: Simplify k into k 30.171 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.172 * [taylor]: Taking taylor expansion of 1 in n 30.172 * [backup-simplify]: Simplify 1 into 1 30.172 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.172 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.172 * [taylor]: Taking taylor expansion of -2 in n 30.172 * [backup-simplify]: Simplify -2 into -2 30.172 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.172 * [taylor]: Taking taylor expansion of PI in n 30.172 * [backup-simplify]: Simplify PI into PI 30.172 * [taylor]: Taking taylor expansion of n in n 30.172 * [backup-simplify]: Simplify 0 into 0 30.172 * [backup-simplify]: Simplify 1 into 1 30.172 * [backup-simplify]: Simplify (/ PI 1) into PI 30.173 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.174 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.174 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.174 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.177 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.178 * [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))))) 30.178 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.178 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.178 * [taylor]: Taking taylor expansion of -1 in n 30.178 * [backup-simplify]: Simplify -1 into -1 30.178 * [taylor]: Taking taylor expansion of k in n 30.178 * [backup-simplify]: Simplify k into k 30.178 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.178 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.178 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.180 * [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))) 30.180 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 30.180 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.180 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.180 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.180 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.180 * [taylor]: Taking taylor expansion of 1/2 in k 30.180 * [backup-simplify]: Simplify 1/2 into 1/2 30.180 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.180 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.180 * [taylor]: Taking taylor expansion of k in k 30.180 * [backup-simplify]: Simplify 0 into 0 30.180 * [backup-simplify]: Simplify 1 into 1 30.180 * [backup-simplify]: Simplify (/ 1 1) into 1 30.180 * [taylor]: Taking taylor expansion of 1 in k 30.181 * [backup-simplify]: Simplify 1 into 1 30.181 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.181 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.181 * [taylor]: Taking taylor expansion of -2 in k 30.181 * [backup-simplify]: Simplify -2 into -2 30.181 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.181 * [taylor]: Taking taylor expansion of PI in k 30.181 * [backup-simplify]: Simplify PI into PI 30.181 * [taylor]: Taking taylor expansion of n in k 30.181 * [backup-simplify]: Simplify n into n 30.181 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.181 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.181 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.182 * [backup-simplify]: Simplify (+ 1 0) into 1 30.182 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.182 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.182 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.183 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.183 * [taylor]: Taking taylor expansion of -1 in k 30.183 * [backup-simplify]: Simplify -1 into -1 30.183 * [taylor]: Taking taylor expansion of k in k 30.183 * [backup-simplify]: Simplify 0 into 0 30.183 * [backup-simplify]: Simplify 1 into 1 30.183 * [backup-simplify]: Simplify (/ -1 1) into -1 30.183 * [backup-simplify]: Simplify (sqrt 0) into 0 30.185 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.185 * [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))))) 30.185 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 30.185 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.185 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.185 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.185 * [taylor]: Taking taylor expansion of 1/2 in k 30.185 * [backup-simplify]: Simplify 1/2 into 1/2 30.185 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.185 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.185 * [taylor]: Taking taylor expansion of k in k 30.185 * [backup-simplify]: Simplify 0 into 0 30.186 * [backup-simplify]: Simplify 1 into 1 30.186 * [backup-simplify]: Simplify (/ 1 1) into 1 30.186 * [taylor]: Taking taylor expansion of 1 in k 30.186 * [backup-simplify]: Simplify 1 into 1 30.186 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.186 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.186 * [taylor]: Taking taylor expansion of -2 in k 30.186 * [backup-simplify]: Simplify -2 into -2 30.186 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.186 * [taylor]: Taking taylor expansion of PI in k 30.186 * [backup-simplify]: Simplify PI into PI 30.186 * [taylor]: Taking taylor expansion of n in k 30.186 * [backup-simplify]: Simplify n into n 30.186 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.186 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.186 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.187 * [backup-simplify]: Simplify (+ 1 0) into 1 30.187 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.187 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.188 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.188 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.188 * [taylor]: Taking taylor expansion of -1 in k 30.188 * [backup-simplify]: Simplify -1 into -1 30.188 * [taylor]: Taking taylor expansion of k in k 30.188 * [backup-simplify]: Simplify 0 into 0 30.188 * [backup-simplify]: Simplify 1 into 1 30.188 * [backup-simplify]: Simplify (/ -1 1) into -1 30.189 * [backup-simplify]: Simplify (sqrt 0) into 0 30.190 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.190 * [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))))) 30.190 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.190 * [taylor]: Taking taylor expansion of +nan.0 in n 30.190 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.190 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.190 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.191 * [taylor]: Taking taylor expansion of 1/2 in n 30.191 * [backup-simplify]: Simplify 1/2 into 1/2 30.191 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.191 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.191 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.191 * [taylor]: Taking taylor expansion of -2 in n 30.191 * [backup-simplify]: Simplify -2 into -2 30.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.191 * [taylor]: Taking taylor expansion of PI in n 30.191 * [backup-simplify]: Simplify PI into PI 30.191 * [taylor]: Taking taylor expansion of n in n 30.191 * [backup-simplify]: Simplify 0 into 0 30.191 * [backup-simplify]: Simplify 1 into 1 30.191 * [backup-simplify]: Simplify (/ PI 1) into PI 30.192 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.193 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.193 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.193 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.193 * [taylor]: Taking taylor expansion of k in n 30.193 * [backup-simplify]: Simplify k into k 30.193 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.193 * [taylor]: Taking taylor expansion of 1 in n 30.193 * [backup-simplify]: Simplify 1 into 1 30.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.195 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.196 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.197 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.198 * [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))))) 30.199 * [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)))))) 30.200 * [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)))))) 30.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.210 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.211 * [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)))))) 30.211 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 30.211 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.211 * [taylor]: Taking taylor expansion of +nan.0 in n 30.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.211 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.212 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.212 * [taylor]: Taking taylor expansion of 1/2 in n 30.212 * [backup-simplify]: Simplify 1/2 into 1/2 30.212 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.212 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.212 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.212 * [taylor]: Taking taylor expansion of -2 in n 30.212 * [backup-simplify]: Simplify -2 into -2 30.212 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.212 * [taylor]: Taking taylor expansion of PI in n 30.212 * [backup-simplify]: Simplify PI into PI 30.212 * [taylor]: Taking taylor expansion of n in n 30.212 * [backup-simplify]: Simplify 0 into 0 30.212 * [backup-simplify]: Simplify 1 into 1 30.212 * [backup-simplify]: Simplify (/ PI 1) into PI 30.213 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.214 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.214 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.214 * [taylor]: Taking taylor expansion of k in n 30.214 * [backup-simplify]: Simplify k into k 30.214 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.214 * [taylor]: Taking taylor expansion of 1 in n 30.214 * [backup-simplify]: Simplify 1 into 1 30.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.216 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.217 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.218 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.219 * [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))))) 30.220 * [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)))))) 30.221 * [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))))))) 30.222 * [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))))))) 30.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.224 * [backup-simplify]: Simplify (+ 0 0) into 0 30.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.226 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.229 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 30.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 30.233 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.235 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 30.235 * [backup-simplify]: Simplify 0 into 0 30.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.242 * [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)))))) 30.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 30.242 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.242 * [taylor]: Taking taylor expansion of +nan.0 in n 30.242 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.242 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.242 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.242 * [taylor]: Taking taylor expansion of 1/2 in n 30.242 * [backup-simplify]: Simplify 1/2 into 1/2 30.242 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.242 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.242 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.242 * [taylor]: Taking taylor expansion of -2 in n 30.242 * [backup-simplify]: Simplify -2 into -2 30.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.242 * [taylor]: Taking taylor expansion of PI in n 30.242 * [backup-simplify]: Simplify PI into PI 30.242 * [taylor]: Taking taylor expansion of n in n 30.242 * [backup-simplify]: Simplify 0 into 0 30.242 * [backup-simplify]: Simplify 1 into 1 30.243 * [backup-simplify]: Simplify (/ PI 1) into PI 30.243 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.244 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.244 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.244 * [taylor]: Taking taylor expansion of k in n 30.244 * [backup-simplify]: Simplify k into k 30.244 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.244 * [taylor]: Taking taylor expansion of 1 in n 30.244 * [backup-simplify]: Simplify 1 into 1 30.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.246 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.247 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.248 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.249 * [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))))) 30.249 * [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)))))) 30.250 * [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))))))) 30.251 * [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))))))) 30.253 * [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)))))))))))) 30.253 * * * [progress]: simplifying candidates 30.253 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 30.254 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 30.254 * * [simplify]: iters left: 6 (13 enodes) 30.258 * * [simplify]: iters left: 5 (54 enodes) 30.267 * * [simplify]: iters left: 4 (97 enodes) 30.296 * * [simplify]: iters left: 3 (246 enodes) 30.382 * * [simplify]: Extracting #0: cost 1 inf + 0 30.382 * * [simplify]: Extracting #1: cost 28 inf + 0 30.382 * * [simplify]: Extracting #2: cost 93 inf + 2 30.383 * * [simplify]: Extracting #3: cost 138 inf + 186 30.384 * * [simplify]: Extracting #4: cost 108 inf + 3370 30.387 * * [simplify]: Extracting #5: cost 33 inf + 22278 30.393 * * [simplify]: Extracting #6: cost 2 inf + 32881 30.400 * * [simplify]: Extracting #7: cost 0 inf + 33789 30.416 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 30.416 * [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)))) 30.416 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 30.417 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 30.417 * * [simplify]: iters left: 6 (12 enodes) 30.424 * * [simplify]: iters left: 5 (52 enodes) 30.436 * * [simplify]: iters left: 4 (90 enodes) 30.453 * * [simplify]: iters left: 3 (201 enodes) 30.524 * * [simplify]: iters left: 2 (496 enodes) 30.796 * * [simplify]: Extracting #0: cost 1 inf + 0 30.796 * * [simplify]: Extracting #1: cost 22 inf + 0 30.797 * * [simplify]: Extracting #2: cost 123 inf + 2 30.798 * * [simplify]: Extracting #3: cost 296 inf + 186 30.800 * * [simplify]: Extracting #4: cost 244 inf + 9812 30.812 * * [simplify]: Extracting #5: cost 93 inf + 50654 30.832 * * [simplify]: Extracting #6: cost 0 inf + 82473 30.852 * * [simplify]: Extracting #7: cost 0 inf + 82467 30.885 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 30.885 * [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)))) 30.886 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 30.886 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 30.886 * * [simplify]: iters left: 6 (11 enodes) 30.893 * * [simplify]: iters left: 5 (51 enodes) 30.911 * * [simplify]: iters left: 4 (97 enodes) 30.945 * * [simplify]: iters left: 3 (198 enodes) 31.037 * * [simplify]: iters left: 2 (492 enodes) 31.369 * * [simplify]: Extracting #0: cost 1 inf + 0 31.369 * * [simplify]: Extracting #1: cost 27 inf + 0 31.369 * * [simplify]: Extracting #2: cost 138 inf + 2 31.370 * * [simplify]: Extracting #3: cost 300 inf + 352 31.372 * * [simplify]: Extracting #4: cost 251 inf + 8938 31.383 * * [simplify]: Extracting #5: cost 48 inf + 62855 31.398 * * [simplify]: Extracting #6: cost 0 inf + 74672 31.414 * * [simplify]: Extracting #7: cost 0 inf + 74341 31.446 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 31.446 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 31.446 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 31.446 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 31.446 * [simplify]: Simplifying (* (* 2 PI) n) 31.446 * * [simplify]: iters left: 4 (5 enodes) 31.450 * * [simplify]: iters left: 3 (19 enodes) 31.454 * * [simplify]: iters left: 2 (27 enodes) 31.458 * * [simplify]: iters left: 1 (32 enodes) 31.462 * * [simplify]: Extracting #0: cost 1 inf + 0 31.462 * * [simplify]: Extracting #1: cost 8 inf + 0 31.463 * * [simplify]: Extracting #2: cost 7 inf + 45 31.463 * * [simplify]: Extracting #3: cost 0 inf + 421 31.463 * [simplify]: Simplified to (* (* 2 PI) n) 31.463 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 31.463 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 31.463 * [simplify]: Simplifying (* (* 2 PI) n) 31.463 * * [simplify]: iters left: 4 (5 enodes) 31.465 * * [simplify]: iters left: 3 (19 enodes) 31.468 * * [simplify]: iters left: 2 (27 enodes) 31.472 * * [simplify]: iters left: 1 (32 enodes) 31.476 * * [simplify]: Extracting #0: cost 1 inf + 0 31.476 * * [simplify]: Extracting #1: cost 8 inf + 0 31.476 * * [simplify]: Extracting #2: cost 7 inf + 45 31.476 * * [simplify]: Extracting #3: cost 0 inf + 421 31.476 * [simplify]: Simplified to (* (* 2 PI) n) 31.476 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 31.476 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 31.476 * [simplify]: Simplifying (* (* 2 PI) n) 31.476 * * [simplify]: iters left: 4 (5 enodes) 31.478 * * [simplify]: iters left: 3 (19 enodes) 31.481 * * [simplify]: iters left: 2 (27 enodes) 31.489 * * [simplify]: iters left: 1 (32 enodes) 31.496 * * [simplify]: Extracting #0: cost 1 inf + 0 31.496 * * [simplify]: Extracting #1: cost 8 inf + 0 31.497 * * [simplify]: Extracting #2: cost 7 inf + 45 31.497 * * [simplify]: Extracting #3: cost 0 inf + 421 31.497 * [simplify]: Simplified to (* (* 2 PI) n) 31.497 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 31.497 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 31.497 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 31.498 * * [simplify]: iters left: 5 (8 enodes) 31.501 * * [simplify]: iters left: 4 (31 enodes) 31.506 * * [simplify]: iters left: 3 (51 enodes) 31.515 * * [simplify]: iters left: 2 (85 enodes) 31.530 * * [simplify]: iters left: 1 (152 enodes) 31.570 * * [simplify]: Extracting #0: cost 1 inf + 0 31.570 * * [simplify]: Extracting #1: cost 13 inf + 0 31.571 * * [simplify]: Extracting #2: cost 60 inf + 1 31.571 * * [simplify]: Extracting #3: cost 76 inf + 51 31.571 * * [simplify]: Extracting #4: cost 44 inf + 2846 31.573 * * [simplify]: Extracting #5: cost 21 inf + 7590 31.575 * * [simplify]: Extracting #6: cost 1 inf + 20687 31.578 * * [simplify]: Extracting #7: cost 0 inf + 20539 31.581 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 31.581 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 31.581 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 31.581 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 31.581 * * [simplify]: iters left: 5 (6 enodes) 31.584 * * [simplify]: iters left: 4 (26 enodes) 31.588 * * [simplify]: iters left: 3 (35 enodes) 31.593 * * [simplify]: Extracting #0: cost 1 inf + 0 31.593 * * [simplify]: Extracting #1: cost 3 inf + 0 31.594 * * [simplify]: Extracting #2: cost 8 inf + 0 31.594 * * [simplify]: Extracting #3: cost 11 inf + 2 31.594 * * [simplify]: Extracting #4: cost 8 inf + 87 31.594 * * [simplify]: Extracting #5: cost 2 inf + 500 31.594 * * [simplify]: Extracting #6: cost 0 inf + 746 31.594 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 31.594 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 31.594 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 31.594 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 31.595 * * [simplify]: iters left: 5 (6 enodes) 31.597 * * [simplify]: iters left: 4 (26 enodes) 31.601 * * [simplify]: iters left: 3 (35 enodes) 31.607 * * [simplify]: Extracting #0: cost 1 inf + 0 31.607 * * [simplify]: Extracting #1: cost 3 inf + 0 31.607 * * [simplify]: Extracting #2: cost 8 inf + 0 31.607 * * [simplify]: Extracting #3: cost 11 inf + 2 31.607 * * [simplify]: Extracting #4: cost 8 inf + 87 31.607 * * [simplify]: Extracting #5: cost 2 inf + 460 31.607 * * [simplify]: Extracting #6: cost 0 inf + 666 31.607 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 31.607 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 31.607 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 31.608 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 31.608 * * [simplify]: iters left: 5 (7 enodes) 31.610 * * [simplify]: iters left: 4 (25 enodes) 31.614 * * [simplify]: iters left: 3 (30 enodes) 31.619 * * [simplify]: Extracting #0: cost 1 inf + 0 31.619 * * [simplify]: Extracting #1: cost 4 inf + 0 31.619 * * [simplify]: Extracting #2: cost 8 inf + 0 31.619 * * [simplify]: Extracting #3: cost 10 inf + 82 31.619 * * [simplify]: Extracting #4: cost 7 inf + 206 31.619 * * [simplify]: Extracting #5: cost 2 inf + 575 31.619 * * [simplify]: Extracting #6: cost 1 inf + 818 31.620 * * [simplify]: Extracting #7: cost 0 inf + 1061 31.620 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 31.620 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 31.620 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 31.620 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 31.620 * * [simplify]: iters left: 5 (7 enodes) 31.625 * * [simplify]: iters left: 4 (25 enodes) 31.633 * * [simplify]: iters left: 3 (30 enodes) 31.642 * * [simplify]: Extracting #0: cost 1 inf + 0 31.642 * * [simplify]: Extracting #1: cost 4 inf + 0 31.642 * * [simplify]: Extracting #2: cost 8 inf + 0 31.642 * * [simplify]: Extracting #3: cost 10 inf + 42 31.643 * * [simplify]: Extracting #4: cost 7 inf + 126 31.643 * * [simplify]: Extracting #5: cost 2 inf + 495 31.643 * * [simplify]: Extracting #6: cost 1 inf + 698 31.643 * * [simplify]: Extracting #7: cost 0 inf + 901 31.644 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 31.644 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 31.644 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 31.644 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 31.644 * * [simplify]: iters left: 5 (6 enodes) 31.648 * * [simplify]: iters left: 4 (22 enodes) 31.655 * * [simplify]: iters left: 3 (27 enodes) 31.663 * * [simplify]: Extracting #0: cost 1 inf + 0 31.663 * * [simplify]: Extracting #1: cost 4 inf + 0 31.663 * * [simplify]: Extracting #2: cost 5 inf + 1 31.663 * * [simplify]: Extracting #3: cost 9 inf + 1 31.663 * * [simplify]: Extracting #4: cost 8 inf + 3 31.663 * * [simplify]: Extracting #5: cost 4 inf + 169 31.663 * * [simplify]: Extracting #6: cost 1 inf + 576 31.664 * * [simplify]: Extracting #7: cost 0 inf + 739 31.664 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 31.664 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 31.664 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 31.664 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 31.664 * * [simplify]: iters left: 5 (7 enodes) 31.667 * * [simplify]: iters left: 4 (25 enodes) 31.671 * * [simplify]: iters left: 3 (30 enodes) 31.675 * * [simplify]: Extracting #0: cost 1 inf + 0 31.676 * * [simplify]: Extracting #1: cost 4 inf + 0 31.676 * * [simplify]: Extracting #2: cost 8 inf + 0 31.676 * * [simplify]: Extracting #3: cost 10 inf + 82 31.676 * * [simplify]: Extracting #4: cost 7 inf + 206 31.676 * * [simplify]: Extracting #5: cost 2 inf + 495 31.676 * * [simplify]: Extracting #6: cost 1 inf + 698 31.676 * * [simplify]: Extracting #7: cost 0 inf + 901 31.676 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 31.676 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 31.676 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 31.677 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 31.677 * * [simplify]: iters left: 5 (7 enodes) 31.679 * * [simplify]: iters left: 4 (25 enodes) 31.683 * * [simplify]: iters left: 3 (30 enodes) 31.688 * * [simplify]: Extracting #0: cost 1 inf + 0 31.688 * * [simplify]: Extracting #1: cost 4 inf + 0 31.688 * * [simplify]: Extracting #2: cost 8 inf + 0 31.688 * * [simplify]: Extracting #3: cost 10 inf + 42 31.688 * * [simplify]: Extracting #4: cost 7 inf + 126 31.688 * * [simplify]: Extracting #5: cost 2 inf + 415 31.689 * * [simplify]: Extracting #6: cost 1 inf + 578 31.689 * * [simplify]: Extracting #7: cost 0 inf + 741 31.689 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 31.689 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 31.689 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 31.689 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 31.689 * * [simplify]: iters left: 5 (6 enodes) 31.691 * * [simplify]: iters left: 4 (22 enodes) 31.695 * * [simplify]: iters left: 3 (27 enodes) 31.699 * * [simplify]: Extracting #0: cost 1 inf + 0 31.699 * * [simplify]: Extracting #1: cost 4 inf + 0 31.699 * * [simplify]: Extracting #2: cost 5 inf + 1 31.699 * * [simplify]: Extracting #3: cost 9 inf + 1 31.699 * * [simplify]: Extracting #4: cost 8 inf + 3 31.699 * * [simplify]: Extracting #5: cost 4 inf + 169 31.699 * * [simplify]: Extracting #6: cost 1 inf + 456 31.699 * * [simplify]: Extracting #7: cost 0 inf + 579 31.700 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 31.700 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 31.700 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 31.700 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.700 * * [simplify]: iters left: 4 (6 enodes) 31.702 * * [simplify]: iters left: 3 (25 enodes) 31.706 * * [simplify]: iters left: 2 (36 enodes) 31.712 * * [simplify]: iters left: 1 (40 enodes) 31.718 * * [simplify]: Extracting #0: cost 1 inf + 0 31.718 * * [simplify]: Extracting #1: cost 7 inf + 0 31.718 * * [simplify]: Extracting #2: cost 16 inf + 0 31.718 * * [simplify]: Extracting #3: cost 13 inf + 44 31.719 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.719 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.719 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.719 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 31.719 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 31.719 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.719 * * [simplify]: iters left: 4 (6 enodes) 31.721 * * [simplify]: iters left: 3 (25 enodes) 31.730 * * [simplify]: iters left: 2 (36 enodes) 31.741 * * [simplify]: iters left: 1 (40 enodes) 31.752 * * [simplify]: Extracting #0: cost 1 inf + 0 31.753 * * [simplify]: Extracting #1: cost 7 inf + 0 31.753 * * [simplify]: Extracting #2: cost 16 inf + 0 31.753 * * [simplify]: Extracting #3: cost 13 inf + 44 31.753 * * [simplify]: Extracting #4: cost 3 inf + 823 31.754 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.754 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.754 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 31.754 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 31.755 * [simplify]: Simplifying (/ (- 1 k) 2) 31.755 * * [simplify]: iters left: 4 (5 enodes) 31.759 * * [simplify]: iters left: 3 (23 enodes) 31.767 * * [simplify]: iters left: 2 (32 enodes) 31.777 * * [simplify]: Extracting #0: cost 1 inf + 0 31.777 * * [simplify]: Extracting #1: cost 6 inf + 0 31.777 * * [simplify]: Extracting #2: cost 9 inf + 2 31.777 * * [simplify]: Extracting #3: cost 6 inf + 87 31.777 * * [simplify]: Extracting #4: cost 0 inf + 420 31.777 * [simplify]: Simplified to (/ (- 1 k) 2) 31.777 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 31.778 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 31.778 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 31.778 * * [simplify]: iters left: 5 (8 enodes) 31.783 * * [simplify]: iters left: 4 (31 enodes) 31.789 * * [simplify]: iters left: 3 (45 enodes) 31.796 * * [simplify]: iters left: 2 (51 enodes) 31.803 * * [simplify]: iters left: 1 (52 enodes) 31.811 * * [simplify]: Extracting #0: cost 1 inf + 0 31.811 * * [simplify]: Extracting #1: cost 8 inf + 0 31.811 * * [simplify]: Extracting #2: cost 18 inf + 0 31.812 * * [simplify]: Extracting #3: cost 19 inf + 2 31.812 * * [simplify]: Extracting #4: cost 9 inf + 977 31.812 * * [simplify]: Extracting #5: cost 2 inf + 1790 31.812 * * [simplify]: Extracting #6: cost 0 inf + 2195 31.813 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.813 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 31.813 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 31.813 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 31.813 * * [simplify]: iters left: 5 (8 enodes) 31.816 * * [simplify]: iters left: 4 (31 enodes) 31.821 * * [simplify]: iters left: 3 (45 enodes) 31.827 * * [simplify]: iters left: 2 (51 enodes) 31.835 * * [simplify]: iters left: 1 (52 enodes) 31.847 * * [simplify]: Extracting #0: cost 1 inf + 0 31.847 * * [simplify]: Extracting #1: cost 8 inf + 0 31.847 * * [simplify]: Extracting #2: cost 18 inf + 0 31.847 * * [simplify]: Extracting #3: cost 19 inf + 2 31.847 * * [simplify]: Extracting #4: cost 9 inf + 697 31.848 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.848 * * [simplify]: Extracting #6: cost 0 inf + 1715 31.849 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.849 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 31.849 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 31.850 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 31.850 * * [simplify]: iters left: 5 (7 enodes) 31.854 * * [simplify]: iters left: 4 (29 enodes) 31.863 * * [simplify]: iters left: 3 (43 enodes) 31.874 * * [simplify]: iters left: 2 (47 enodes) 31.880 * * [simplify]: Extracting #0: cost 1 inf + 0 31.880 * * [simplify]: Extracting #1: cost 7 inf + 0 31.880 * * [simplify]: Extracting #2: cost 11 inf + 2 31.880 * * [simplify]: Extracting #3: cost 13 inf + 3 31.880 * * [simplify]: Extracting #4: cost 11 inf + 45 31.880 * * [simplify]: Extracting #5: cost 0 inf + 1066 31.881 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.881 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 31.881 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 31.881 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 31.881 * * [simplify]: iters left: 5 (7 enodes) 31.883 * * [simplify]: iters left: 4 (28 enodes) 31.889 * * [simplify]: iters left: 3 (39 enodes) 31.895 * * [simplify]: iters left: 2 (43 enodes) 31.902 * * [simplify]: Extracting #0: cost 1 inf + 0 31.902 * * [simplify]: Extracting #1: cost 7 inf + 0 31.902 * * [simplify]: Extracting #2: cost 16 inf + 0 31.902 * * [simplify]: Extracting #3: cost 15 inf + 164 31.902 * * [simplify]: Extracting #4: cost 13 inf + 287 31.902 * * [simplify]: Extracting #5: cost 5 inf + 1180 31.902 * * [simplify]: Extracting #6: cost 0 inf + 1951 31.903 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.903 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 31.903 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 31.903 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 31.903 * * [simplify]: iters left: 5 (7 enodes) 31.906 * * [simplify]: iters left: 4 (28 enodes) 31.911 * * [simplify]: iters left: 3 (39 enodes) 31.918 * * [simplify]: iters left: 2 (43 enodes) 31.925 * * [simplify]: Extracting #0: cost 1 inf + 0 31.925 * * [simplify]: Extracting #1: cost 7 inf + 0 31.925 * * [simplify]: Extracting #2: cost 16 inf + 0 31.925 * * [simplify]: Extracting #3: cost 15 inf + 84 31.925 * * [simplify]: Extracting #4: cost 13 inf + 167 31.925 * * [simplify]: Extracting #5: cost 5 inf + 900 31.925 * * [simplify]: Extracting #6: cost 0 inf + 1551 31.926 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.926 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 31.926 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 31.926 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 31.926 * * [simplify]: iters left: 5 (6 enodes) 31.928 * * [simplify]: iters left: 4 (26 enodes) 31.933 * * [simplify]: iters left: 3 (35 enodes) 31.941 * * [simplify]: Extracting #0: cost 1 inf + 0 31.941 * * [simplify]: Extracting #1: cost 6 inf + 0 31.941 * * [simplify]: Extracting #2: cost 9 inf + 2 31.941 * * [simplify]: Extracting #3: cost 11 inf + 3 31.941 * * [simplify]: Extracting #4: cost 10 inf + 4 31.941 * * [simplify]: Extracting #5: cost 3 inf + 535 31.942 * * [simplify]: Extracting #6: cost 0 inf + 822 31.942 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.942 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 31.942 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 31.942 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.942 * * [simplify]: iters left: 4 (6 enodes) 31.945 * * [simplify]: iters left: 3 (25 enodes) 31.949 * * [simplify]: iters left: 2 (36 enodes) 31.955 * * [simplify]: iters left: 1 (40 enodes) 31.962 * * [simplify]: Extracting #0: cost 1 inf + 0 31.962 * * [simplify]: Extracting #1: cost 7 inf + 0 31.962 * * [simplify]: Extracting #2: cost 16 inf + 0 31.962 * * [simplify]: Extracting #3: cost 13 inf + 44 31.962 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.962 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.962 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.963 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 31.963 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 31.963 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.963 * * [simplify]: iters left: 4 (6 enodes) 31.965 * * [simplify]: iters left: 3 (25 enodes) 31.970 * * [simplify]: iters left: 2 (36 enodes) 31.976 * * [simplify]: iters left: 1 (40 enodes) 31.982 * * [simplify]: Extracting #0: cost 1 inf + 0 31.982 * * [simplify]: Extracting #1: cost 7 inf + 0 31.982 * * [simplify]: Extracting #2: cost 16 inf + 0 31.982 * * [simplify]: Extracting #3: cost 13 inf + 44 31.983 * * [simplify]: Extracting #4: cost 3 inf + 823 31.983 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.983 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.983 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 31.983 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 31.983 * [simplify]: Simplifying (/ (- 1 k) 2) 31.983 * * [simplify]: iters left: 4 (5 enodes) 31.985 * * [simplify]: iters left: 3 (23 enodes) 31.989 * * [simplify]: iters left: 2 (32 enodes) 31.994 * * [simplify]: Extracting #0: cost 1 inf + 0 31.994 * * [simplify]: Extracting #1: cost 6 inf + 0 31.994 * * [simplify]: Extracting #2: cost 9 inf + 2 31.995 * * [simplify]: Extracting #3: cost 6 inf + 87 31.995 * * [simplify]: Extracting #4: cost 0 inf + 420 31.995 * [simplify]: Simplified to (/ (- 1 k) 2) 31.995 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 31.995 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 31.995 * [simplify]: Simplifying (/ (- 1 k) 2) 31.995 * * [simplify]: iters left: 4 (5 enodes) 31.997 * * [simplify]: iters left: 3 (23 enodes) 32.001 * * [simplify]: iters left: 2 (32 enodes) 32.006 * * [simplify]: Extracting #0: cost 1 inf + 0 32.006 * * [simplify]: Extracting #1: cost 6 inf + 0 32.006 * * [simplify]: Extracting #2: cost 9 inf + 2 32.007 * * [simplify]: Extracting #3: cost 6 inf + 87 32.007 * * [simplify]: Extracting #4: cost 0 inf + 420 32.007 * [simplify]: Simplified to (/ (- 1 k) 2) 32.007 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.007 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 32.007 * [simplify]: Simplifying (/ 1 2) 32.007 * * [simplify]: iters left: 2 (3 enodes) 32.009 * * [simplify]: iters left: 1 (12 enodes) 32.014 * * [simplify]: Extracting #0: cost 1 inf + 0 32.014 * * [simplify]: Extracting #1: cost 0 inf + 1 32.014 * [simplify]: Simplified to 1/2 32.014 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 32.014 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 32.014 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 32.015 * * [simplify]: iters left: 5 (8 enodes) 32.020 * * [simplify]: iters left: 4 (36 enodes) 32.033 * * [simplify]: iters left: 3 (57 enodes) 32.055 * * [simplify]: iters left: 2 (90 enodes) 32.087 * * [simplify]: iters left: 1 (176 enodes) 32.154 * * [simplify]: Extracting #0: cost 1 inf + 0 32.154 * * [simplify]: Extracting #1: cost 13 inf + 0 32.154 * * [simplify]: Extracting #2: cost 55 inf + 1 32.155 * * [simplify]: Extracting #3: cost 86 inf + 6 32.156 * * [simplify]: Extracting #4: cost 68 inf + 2553 32.159 * * [simplify]: Extracting #5: cost 24 inf + 10048 32.165 * * [simplify]: Extracting #6: cost 3 inf + 21580 32.171 * * [simplify]: Extracting #7: cost 0 inf + 23439 32.178 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 32.178 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 32.178 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 32.179 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 32.179 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 32.179 * [simplify]: Simplifying (* (* 2 PI) n) 32.180 * * [simplify]: iters left: 4 (5 enodes) 32.183 * * [simplify]: iters left: 3 (19 enodes) 32.189 * * [simplify]: iters left: 2 (27 enodes) 32.194 * * [simplify]: iters left: 1 (32 enodes) 32.198 * * [simplify]: Extracting #0: cost 1 inf + 0 32.198 * * [simplify]: Extracting #1: cost 8 inf + 0 32.198 * * [simplify]: Extracting #2: cost 7 inf + 45 32.199 * * [simplify]: Extracting #3: cost 0 inf + 421 32.199 * [simplify]: Simplified to (* (* 2 PI) n) 32.199 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.199 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 32.199 * [simplify]: Simplifying (* (* 2 PI) n) 32.199 * * [simplify]: iters left: 4 (5 enodes) 32.201 * * [simplify]: iters left: 3 (19 enodes) 32.204 * * [simplify]: iters left: 2 (27 enodes) 32.208 * * [simplify]: iters left: 1 (32 enodes) 32.212 * * [simplify]: Extracting #0: cost 1 inf + 0 32.212 * * [simplify]: Extracting #1: cost 8 inf + 0 32.212 * * [simplify]: Extracting #2: cost 7 inf + 45 32.212 * * [simplify]: Extracting #3: cost 0 inf + 421 32.213 * [simplify]: Simplified to (* (* 2 PI) n) 32.213 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.213 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 32.213 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 32.213 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 32.213 * * [simplify]: iters left: 5 (8 enodes) 32.215 * * [simplify]: iters left: 4 (28 enodes) 32.220 * * [simplify]: iters left: 3 (36 enodes) 32.230 * * [simplify]: iters left: 2 (42 enodes) 32.240 * * [simplify]: Extracting #0: cost 1 inf + 0 32.241 * * [simplify]: Extracting #1: cost 8 inf + 0 32.241 * * [simplify]: Extracting #2: cost 17 inf + 0 32.241 * * [simplify]: Extracting #3: cost 13 inf + 74 32.241 * * [simplify]: Extracting #4: cost 6 inf + 1015 32.242 * * [simplify]: Extracting #5: cost 0 inf + 2107 32.243 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 32.243 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 32.243 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 32.243 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 32.244 * * [simplify]: iters left: 5 (7 enodes) 32.248 * * [simplify]: iters left: 4 (26 enodes) 32.256 * * [simplify]: iters left: 3 (35 enodes) 32.266 * * [simplify]: iters left: 2 (44 enodes) 32.278 * * [simplify]: Extracting #0: cost 1 inf + 0 32.278 * * [simplify]: Extracting #1: cost 8 inf + 0 32.278 * * [simplify]: Extracting #2: cost 18 inf + 0 32.278 * * [simplify]: Extracting #3: cost 15 inf + 74 32.279 * * [simplify]: Extracting #4: cost 6 inf + 918 32.279 * * [simplify]: Extracting #5: cost 0 inf + 1911 32.280 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 32.280 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 32.280 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 32.280 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 32.280 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 32.280 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 32.280 * * [simplify]: iters left: 6 (11 enodes) 32.287 * * [simplify]: iters left: 5 (47 enodes) 32.308 * * [simplify]: iters left: 4 (115 enodes) 32.340 * * [simplify]: iters left: 3 (384 enodes) 32.657 * * [simplify]: Extracting #0: cost 1 inf + 0 32.657 * * [simplify]: Extracting #1: cost 102 inf + 0 32.659 * * [simplify]: Extracting #2: cost 263 inf + 1026 32.664 * * [simplify]: Extracting #3: cost 88 inf + 24284 32.674 * * [simplify]: Extracting #4: cost 2 inf + 40704 32.687 * * [simplify]: Extracting #5: cost 0 inf + 41008 32.710 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 32.710 * [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)))) 32.710 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 32.710 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 32.711 * * [simplify]: iters left: 6 (9 enodes) 32.714 * * [simplify]: iters left: 5 (45 enodes) 32.723 * * [simplify]: iters left: 4 (116 enodes) 32.768 * * [simplify]: iters left: 3 (371 enodes) 33.093 * * [simplify]: Extracting #0: cost 1 inf + 0 33.093 * * [simplify]: Extracting #1: cost 82 inf + 0 33.094 * * [simplify]: Extracting #2: cost 200 inf + 498 33.098 * * [simplify]: Extracting #3: cost 121 inf + 10421 33.107 * * [simplify]: Extracting #4: cost 5 inf + 33505 33.130 * * [simplify]: Extracting #5: cost 0 inf + 33849 33.145 * * [simplify]: Extracting #6: cost 0 inf + 33809 33.155 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 33.155 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 33.155 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 33.155 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 33.155 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 33.155 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 33.155 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 33.155 * [simplify]: Simplifying (cbrt n) 33.155 * * [simplify]: iters left: 1 (2 enodes) 33.156 * * [simplify]: Extracting #0: cost 1 inf + 0 33.156 * * [simplify]: Extracting #1: cost 3 inf + 0 33.156 * * [simplify]: Extracting #2: cost 2 inf + 1 33.156 * * [simplify]: Extracting #3: cost 0 inf + 163 33.156 * [simplify]: Simplified to (cbrt n) 33.156 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 33.156 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 33.156 * [simplify]: Simplifying (sqrt n) 33.156 * * [simplify]: iters left: 1 (2 enodes) 33.157 * * [simplify]: Extracting #0: cost 1 inf + 0 33.157 * * [simplify]: Extracting #1: cost 3 inf + 0 33.157 * * [simplify]: Extracting #2: cost 2 inf + 1 33.157 * * [simplify]: Extracting #3: cost 0 inf + 83 33.157 * [simplify]: Simplified to (sqrt n) 33.157 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 33.157 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 33.157 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 33.157 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 33.157 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 33.157 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 33.157 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 33.157 * [simplify]: Simplifying (- 1/2) 33.158 * * [simplify]: iters left: 2 (2 enodes) 33.159 * * [simplify]: iters left: 1 (7 enodes) 33.161 * * [simplify]: Extracting #0: cost 1 inf + 0 33.161 * * [simplify]: Extracting #1: cost 0 inf + 1 33.161 * [simplify]: Simplified to -1/2 33.161 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.161 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 33.161 * [simplify]: Simplifying (- 1) 33.161 * * [simplify]: iters left: 2 (2 enodes) 33.163 * * [simplify]: iters left: 1 (9 enodes) 33.166 * * [simplify]: Extracting #0: cost 1 inf + 0 33.166 * * [simplify]: Extracting #1: cost 0 inf + 1 33.167 * [simplify]: Simplified to -1 33.167 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.167 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 33.167 * [simplify]: Simplifying (- (/ 1 2)) 33.167 * * [simplify]: iters left: 4 (4 enodes) 33.172 * * [simplify]: iters left: 3 (19 enodes) 33.178 * * [simplify]: iters left: 2 (23 enodes) 33.184 * * [simplify]: Extracting #0: cost 1 inf + 0 33.185 * * [simplify]: Extracting #1: cost 0 inf + 1 33.185 * [simplify]: Simplified to -1/2 33.185 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.185 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 33.185 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 33.185 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 33.185 * [simplify]: Simplifying (- 0 (log (sqrt k))) 33.185 * * [simplify]: iters left: 4 (5 enodes) 33.188 * * [simplify]: iters left: 3 (17 enodes) 33.194 * * [simplify]: iters left: 2 (21 enodes) 33.200 * * [simplify]: iters left: 1 (23 enodes) 33.207 * * [simplify]: Extracting #0: cost 1 inf + 0 33.207 * * [simplify]: Extracting #1: cost 4 inf + 0 33.207 * * [simplify]: Extracting #2: cost 5 inf + 1 33.207 * * [simplify]: Extracting #3: cost 7 inf + 1 33.207 * * [simplify]: Extracting #4: cost 0 inf + 608 33.208 * [simplify]: Simplified to (- (log (sqrt k))) 33.208 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.208 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 33.208 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 33.208 * * [simplify]: iters left: 4 (6 enodes) 33.212 * * [simplify]: iters left: 3 (22 enodes) 33.218 * * [simplify]: Extracting #0: cost 1 inf + 0 33.218 * * [simplify]: Extracting #1: cost 4 inf + 0 33.218 * * [simplify]: Extracting #2: cost 5 inf + 1 33.218 * * [simplify]: Extracting #3: cost 7 inf + 1 33.218 * * [simplify]: Extracting #4: cost 6 inf + 2 33.218 * * [simplify]: Extracting #5: cost 1 inf + 457 33.219 * * [simplify]: Extracting #6: cost 0 inf + 608 33.219 * [simplify]: Simplified to (- (log (sqrt k))) 33.219 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.219 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 33.219 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 33.219 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 33.220 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 33.220 * * [simplify]: iters left: 6 (8 enodes) 33.222 * * [simplify]: iters left: 5 (26 enodes) 33.226 * * [simplify]: iters left: 4 (43 enodes) 33.233 * * [simplify]: iters left: 3 (59 enodes) 33.244 * * [simplify]: iters left: 2 (67 enodes) 33.255 * * [simplify]: iters left: 1 (69 enodes) 33.264 * * [simplify]: Extracting #0: cost 1 inf + 0 33.264 * * [simplify]: Extracting #1: cost 14 inf + 0 33.264 * * [simplify]: Extracting #2: cost 18 inf + 2 33.265 * * [simplify]: Extracting #3: cost 7 inf + 701 33.265 * * [simplify]: Extracting #4: cost 0 inf + 1234 33.265 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 33.265 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.265 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 33.265 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 33.265 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 33.266 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 33.266 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 33.266 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.266 * * [simplify]: iters left: 6 (8 enodes) 33.268 * * [simplify]: iters left: 5 (32 enodes) 33.274 * * [simplify]: iters left: 4 (48 enodes) 33.283 * * [simplify]: iters left: 3 (76 enodes) 33.299 * * [simplify]: iters left: 2 (81 enodes) 33.311 * * [simplify]: Extracting #0: cost 1 inf + 0 33.311 * * [simplify]: Extracting #1: cost 6 inf + 0 33.311 * * [simplify]: Extracting #2: cost 9 inf + 1 33.312 * * [simplify]: Extracting #3: cost 11 inf + 1 33.312 * * [simplify]: Extracting #4: cost 2 inf + 1052 33.313 * * [simplify]: Extracting #5: cost 0 inf + 1376 33.313 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.313 * [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)))) 33.313 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 33.314 * * [simplify]: iters left: 4 (6 enodes) 33.317 * * [simplify]: iters left: 3 (20 enodes) 33.320 * * [simplify]: iters left: 2 (22 enodes) 33.323 * * [simplify]: Extracting #0: cost 1 inf + 0 33.324 * * [simplify]: Extracting #1: cost 4 inf + 0 33.324 * * [simplify]: Extracting #2: cost 5 inf + 1 33.324 * * [simplify]: Extracting #3: cost 7 inf + 1 33.324 * * [simplify]: Extracting #4: cost 1 inf + 488 33.324 * * [simplify]: Extracting #5: cost 0 inf + 650 33.324 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.324 * [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)))) 33.324 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 33.324 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 33.324 * * [simplify]: iters left: 6 (8 enodes) 33.327 * * [simplify]: iters left: 5 (29 enodes) 33.332 * * [simplify]: iters left: 4 (31 enodes) 33.339 * * [simplify]: Extracting #0: cost 1 inf + 0 33.339 * * [simplify]: Extracting #1: cost 4 inf + 0 33.339 * * [simplify]: Extracting #2: cost 6 inf + 1 33.339 * * [simplify]: Extracting #3: cost 9 inf + 1 33.339 * * [simplify]: Extracting #4: cost 8 inf + 2 33.339 * * [simplify]: Extracting #5: cost 2 inf + 729 33.339 * * [simplify]: Extracting #6: cost 0 inf + 972 33.339 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.339 * [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)))) 33.340 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 33.340 * * [simplify]: iters left: 4 (6 enodes) 33.342 * * [simplify]: iters left: 3 (20 enodes) 33.345 * * [simplify]: iters left: 2 (22 enodes) 33.348 * * [simplify]: Extracting #0: cost 1 inf + 0 33.348 * * [simplify]: Extracting #1: cost 4 inf + 0 33.348 * * [simplify]: Extracting #2: cost 5 inf + 1 33.348 * * [simplify]: Extracting #3: cost 7 inf + 1 33.348 * * [simplify]: Extracting #4: cost 1 inf + 568 33.348 * * [simplify]: Extracting #5: cost 0 inf + 730 33.349 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.349 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.349 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 33.349 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.349 * * [simplify]: iters left: 5 (7 enodes) 33.354 * * [simplify]: iters left: 4 (25 enodes) 33.362 * * [simplify]: iters left: 3 (27 enodes) 33.370 * * [simplify]: Extracting #0: cost 1 inf + 0 33.370 * * [simplify]: Extracting #1: cost 4 inf + 0 33.370 * * [simplify]: Extracting #2: cost 5 inf + 1 33.370 * * [simplify]: Extracting #3: cost 7 inf + 1 33.370 * * [simplify]: Extracting #4: cost 6 inf + 2 33.370 * * [simplify]: Extracting #5: cost 2 inf + 368 33.371 * * [simplify]: Extracting #6: cost 0 inf + 490 33.371 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.371 * [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)))) 33.371 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.371 * * [simplify]: iters left: 4 (6 enodes) 33.375 * * [simplify]: iters left: 3 (20 enodes) 33.381 * * [simplify]: iters left: 2 (22 enodes) 33.387 * * [simplify]: Extracting #0: cost 1 inf + 0 33.388 * * [simplify]: Extracting #1: cost 4 inf + 0 33.388 * * [simplify]: Extracting #2: cost 5 inf + 1 33.388 * * [simplify]: Extracting #3: cost 7 inf + 1 33.388 * * [simplify]: Extracting #4: cost 1 inf + 368 33.388 * * [simplify]: Extracting #5: cost 0 inf + 490 33.388 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.388 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.388 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 33.389 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 33.389 * * [simplify]: iters left: 5 (5 enodes) 33.399 * * [simplify]: iters left: 4 (19 enodes) 33.404 * * [simplify]: iters left: 3 (21 enodes) 33.408 * * [simplify]: Extracting #0: cost 1 inf + 0 33.408 * * [simplify]: Extracting #1: cost 0 inf + 1 33.408 * [simplify]: Simplified to 1 33.408 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.409 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.409 * * [simplify]: iters left: 3 (5 enodes) 33.413 * * [simplify]: iters left: 2 (17 enodes) 33.418 * * [simplify]: iters left: 1 (19 enodes) 33.423 * * [simplify]: Extracting #0: cost 1 inf + 0 33.423 * * [simplify]: Extracting #1: cost 4 inf + 0 33.423 * * [simplify]: Extracting #2: cost 5 inf + 1 33.424 * * [simplify]: Extracting #3: cost 0 inf + 248 33.424 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.424 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.424 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 33.424 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.424 * * [simplify]: iters left: 5 (7 enodes) 33.429 * * [simplify]: iters left: 4 (25 enodes) 33.435 * * [simplify]: iters left: 3 (27 enodes) 33.438 * * [simplify]: Extracting #0: cost 1 inf + 0 33.438 * * [simplify]: Extracting #1: cost 4 inf + 0 33.438 * * [simplify]: Extracting #2: cost 5 inf + 1 33.439 * * [simplify]: Extracting #3: cost 7 inf + 1 33.439 * * [simplify]: Extracting #4: cost 6 inf + 2 33.439 * * [simplify]: Extracting #5: cost 2 inf + 368 33.439 * * [simplify]: Extracting #6: cost 0 inf + 490 33.439 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.439 * [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)))) 33.439 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.439 * * [simplify]: iters left: 4 (6 enodes) 33.441 * * [simplify]: iters left: 3 (20 enodes) 33.444 * * [simplify]: iters left: 2 (22 enodes) 33.447 * * [simplify]: Extracting #0: cost 1 inf + 0 33.447 * * [simplify]: Extracting #1: cost 4 inf + 0 33.447 * * [simplify]: Extracting #2: cost 5 inf + 1 33.447 * * [simplify]: Extracting #3: cost 7 inf + 1 33.447 * * [simplify]: Extracting #4: cost 1 inf + 368 33.447 * * [simplify]: Extracting #5: cost 0 inf + 490 33.448 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.448 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.448 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 33.448 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 33.448 * * [simplify]: iters left: 5 (4 enodes) 33.452 * * [simplify]: iters left: 4 (14 enodes) 33.454 * * [simplify]: iters left: 3 (16 enodes) 33.455 * * [simplify]: Extracting #0: cost 1 inf + 0 33.455 * * [simplify]: Extracting #1: cost 0 inf + 1 33.455 * [simplify]: Simplified to 1 33.456 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.456 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.456 * * [simplify]: iters left: 3 (5 enodes) 33.458 * * [simplify]: iters left: 2 (17 enodes) 33.463 * * [simplify]: iters left: 1 (19 enodes) 33.467 * * [simplify]: Extracting #0: cost 1 inf + 0 33.467 * * [simplify]: Extracting #1: cost 4 inf + 0 33.467 * * [simplify]: Extracting #2: cost 5 inf + 1 33.467 * * [simplify]: Extracting #3: cost 0 inf + 248 33.467 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.467 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.467 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 33.467 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.468 * * [simplify]: iters left: 6 (7 enodes) 33.472 * * [simplify]: iters left: 5 (25 enodes) 33.478 * * [simplify]: iters left: 4 (32 enodes) 33.484 * * [simplify]: iters left: 3 (34 enodes) 33.488 * * [simplify]: Extracting #0: cost 1 inf + 0 33.488 * * [simplify]: Extracting #1: cost 7 inf + 0 33.488 * * [simplify]: Extracting #2: cost 11 inf + 1 33.488 * * [simplify]: Extracting #3: cost 13 inf + 1 33.488 * * [simplify]: Extracting #4: cost 10 inf + 84 33.489 * * [simplify]: Extracting #5: cost 4 inf + 1014 33.489 * * [simplify]: Extracting #6: cost 1 inf + 1498 33.489 * * [simplify]: Extracting #7: cost 0 inf + 1700 33.489 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 33.489 * [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)))) 33.490 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 33.490 * * [simplify]: iters left: 4 (6 enodes) 33.492 * * [simplify]: iters left: 3 (20 enodes) 33.495 * * [simplify]: iters left: 2 (22 enodes) 33.498 * * [simplify]: Extracting #0: cost 1 inf + 0 33.498 * * [simplify]: Extracting #1: cost 4 inf + 0 33.498 * * [simplify]: Extracting #2: cost 5 inf + 1 33.498 * * [simplify]: Extracting #3: cost 7 inf + 1 33.498 * * [simplify]: Extracting #4: cost 1 inf + 488 33.498 * * [simplify]: Extracting #5: cost 0 inf + 650 33.498 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.498 * [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)))) 33.499 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 33.499 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 33.499 * * [simplify]: iters left: 6 (7 enodes) 33.501 * * [simplify]: iters left: 5 (24 enodes) 33.504 * * [simplify]: iters left: 4 (26 enodes) 33.508 * * [simplify]: Extracting #0: cost 1 inf + 0 33.508 * * [simplify]: Extracting #1: cost 4 inf + 0 33.508 * * [simplify]: Extracting #2: cost 6 inf + 1 33.508 * * [simplify]: Extracting #3: cost 9 inf + 1 33.508 * * [simplify]: Extracting #4: cost 8 inf + 2 33.508 * * [simplify]: Extracting #5: cost 2 inf + 730 33.509 * * [simplify]: Extracting #6: cost 0 inf + 972 33.509 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.509 * [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)))) 33.509 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 33.509 * * [simplify]: iters left: 4 (6 enodes) 33.513 * * [simplify]: iters left: 3 (20 enodes) 33.519 * * [simplify]: iters left: 2 (22 enodes) 33.525 * * [simplify]: Extracting #0: cost 1 inf + 0 33.525 * * [simplify]: Extracting #1: cost 4 inf + 0 33.525 * * [simplify]: Extracting #2: cost 5 inf + 1 33.525 * * [simplify]: Extracting #3: cost 7 inf + 1 33.525 * * [simplify]: Extracting #4: cost 1 inf + 568 33.525 * * [simplify]: Extracting #5: cost 0 inf + 730 33.525 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.525 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.526 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 33.526 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.526 * * [simplify]: iters left: 4 (6 enodes) 33.530 * * [simplify]: iters left: 3 (20 enodes) 33.535 * * [simplify]: iters left: 2 (22 enodes) 33.542 * * [simplify]: Extracting #0: cost 1 inf + 0 33.542 * * [simplify]: Extracting #1: cost 4 inf + 0 33.542 * * [simplify]: Extracting #2: cost 5 inf + 1 33.542 * * [simplify]: Extracting #3: cost 7 inf + 1 33.542 * * [simplify]: Extracting #4: cost 1 inf + 368 33.542 * * [simplify]: Extracting #5: cost 0 inf + 490 33.543 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.543 * [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)))) 33.543 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.543 * * [simplify]: iters left: 4 (6 enodes) 33.547 * * [simplify]: iters left: 3 (20 enodes) 33.553 * * [simplify]: iters left: 2 (22 enodes) 33.559 * * [simplify]: Extracting #0: cost 1 inf + 0 33.559 * * [simplify]: Extracting #1: cost 4 inf + 0 33.559 * * [simplify]: Extracting #2: cost 5 inf + 1 33.559 * * [simplify]: Extracting #3: cost 7 inf + 1 33.559 * * [simplify]: Extracting #4: cost 1 inf + 368 33.559 * * [simplify]: Extracting #5: cost 0 inf + 490 33.559 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.560 * [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)))) 33.560 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 33.560 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 33.560 * * [simplify]: iters left: 3 (3 enodes) 33.564 * * [simplify]: iters left: 2 (9 enodes) 33.566 * * [simplify]: iters left: 1 (11 enodes) 33.569 * * [simplify]: Extracting #0: cost 1 inf + 0 33.569 * * [simplify]: Extracting #1: cost 0 inf + 1 33.569 * [simplify]: Simplified to 1 33.569 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.569 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.569 * * [simplify]: iters left: 3 (5 enodes) 33.573 * * [simplify]: iters left: 2 (17 enodes) 33.579 * * [simplify]: iters left: 1 (19 enodes) 33.585 * * [simplify]: Extracting #0: cost 1 inf + 0 33.585 * * [simplify]: Extracting #1: cost 4 inf + 0 33.585 * * [simplify]: Extracting #2: cost 5 inf + 1 33.586 * * [simplify]: Extracting #3: cost 0 inf + 248 33.586 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.586 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.586 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 33.586 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.586 * * [simplify]: iters left: 4 (6 enodes) 33.590 * * [simplify]: iters left: 3 (20 enodes) 33.600 * * [simplify]: iters left: 2 (22 enodes) 33.606 * * [simplify]: Extracting #0: cost 1 inf + 0 33.606 * * [simplify]: Extracting #1: cost 4 inf + 0 33.606 * * [simplify]: Extracting #2: cost 5 inf + 1 33.606 * * [simplify]: Extracting #3: cost 7 inf + 1 33.606 * * [simplify]: Extracting #4: cost 1 inf + 368 33.606 * * [simplify]: Extracting #5: cost 0 inf + 490 33.606 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.606 * [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)))) 33.606 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.606 * * [simplify]: iters left: 4 (6 enodes) 33.609 * * [simplify]: iters left: 3 (20 enodes) 33.612 * * [simplify]: iters left: 2 (22 enodes) 33.615 * * [simplify]: Extracting #0: cost 1 inf + 0 33.615 * * [simplify]: Extracting #1: cost 4 inf + 0 33.615 * * [simplify]: Extracting #2: cost 5 inf + 1 33.615 * * [simplify]: Extracting #3: cost 7 inf + 1 33.615 * * [simplify]: Extracting #4: cost 1 inf + 368 33.615 * * [simplify]: Extracting #5: cost 0 inf + 490 33.616 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.616 * [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)))) 33.616 * * * * [progress]: [ 86 / 188 ] simplifiying candidate # 33.616 * [simplify]: Simplifying (/ (sqrt 1) 1) 33.616 * * [simplify]: iters left: 3 (3 enodes) 33.618 * * [simplify]: iters left: 2 (9 enodes) 33.620 * * [simplify]: iters left: 1 (11 enodes) 33.621 * * [simplify]: Extracting #0: cost 1 inf + 0 33.621 * * [simplify]: Extracting #1: cost 0 inf + 1 33.621 * [simplify]: Simplified to 1 33.621 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.622 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.622 * * [simplify]: iters left: 3 (5 enodes) 33.624 * * [simplify]: iters left: 2 (17 enodes) 33.627 * * [simplify]: iters left: 1 (19 enodes) 33.629 * * [simplify]: Extracting #0: cost 1 inf + 0 33.629 * * [simplify]: Extracting #1: cost 4 inf + 0 33.629 * * [simplify]: Extracting #2: cost 5 inf + 1 33.630 * * [simplify]: Extracting #3: cost 0 inf + 248 33.630 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.630 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.630 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 33.630 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.630 * * [simplify]: iters left: 6 (6 enodes) 33.632 * * [simplify]: iters left: 5 (22 enodes) 33.638 * * [simplify]: iters left: 4 (26 enodes) 33.646 * * [simplify]: Extracting #0: cost 1 inf + 0 33.646 * * [simplify]: Extracting #1: cost 6 inf + 0 33.646 * * [simplify]: Extracting #2: cost 9 inf + 1 33.646 * * [simplify]: Extracting #3: cost 11 inf + 1 33.646 * * [simplify]: Extracting #4: cost 8 inf + 84 33.647 * * [simplify]: Extracting #5: cost 2 inf + 1013 33.647 * * [simplify]: Extracting #6: cost 0 inf + 1376 33.647 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.647 * [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)))) 33.648 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 33.648 * * [simplify]: iters left: 4 (5 enodes) 33.650 * * [simplify]: iters left: 3 (17 enodes) 33.656 * * [simplify]: iters left: 2 (19 enodes) 33.659 * * [simplify]: Extracting #0: cost 1 inf + 0 33.659 * * [simplify]: Extracting #1: cost 4 inf + 0 33.659 * * [simplify]: Extracting #2: cost 5 inf + 1 33.659 * * [simplify]: Extracting #3: cost 7 inf + 1 33.659 * * [simplify]: Extracting #4: cost 0 inf + 650 33.659 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.659 * [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)))) 33.659 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 33.659 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 33.659 * * [simplify]: iters left: 6 (6 enodes) 33.661 * * [simplify]: iters left: 5 (21 enodes) 33.664 * * [simplify]: iters left: 4 (23 enodes) 33.668 * * [simplify]: Extracting #0: cost 1 inf + 0 33.668 * * [simplify]: Extracting #1: cost 4 inf + 0 33.668 * * [simplify]: Extracting #2: cost 6 inf + 1 33.668 * * [simplify]: Extracting #3: cost 9 inf + 1 33.668 * * [simplify]: Extracting #4: cost 8 inf + 2 33.668 * * [simplify]: Extracting #5: cost 1 inf + 810 33.668 * * [simplify]: Extracting #6: cost 0 inf + 972 33.668 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.668 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.668 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 33.669 * * [simplify]: iters left: 4 (5 enodes) 33.670 * * [simplify]: iters left: 3 (17 enodes) 33.673 * * [simplify]: iters left: 2 (19 enodes) 33.676 * * [simplify]: Extracting #0: cost 1 inf + 0 33.676 * * [simplify]: Extracting #1: cost 4 inf + 0 33.676 * * [simplify]: Extracting #2: cost 5 inf + 1 33.676 * * [simplify]: Extracting #3: cost 7 inf + 1 33.676 * * [simplify]: Extracting #4: cost 0 inf + 730 33.676 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.676 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.676 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 33.676 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.676 * * [simplify]: iters left: 4 (5 enodes) 33.678 * * [simplify]: iters left: 3 (17 enodes) 33.681 * * [simplify]: iters left: 2 (19 enodes) 33.683 * * [simplify]: Extracting #0: cost 1 inf + 0 33.684 * * [simplify]: Extracting #1: cost 4 inf + 0 33.684 * * [simplify]: Extracting #2: cost 5 inf + 1 33.684 * * [simplify]: Extracting #3: cost 7 inf + 1 33.684 * * [simplify]: Extracting #4: cost 0 inf + 490 33.684 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.684 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.684 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.684 * * [simplify]: iters left: 4 (5 enodes) 33.687 * * [simplify]: iters left: 3 (17 enodes) 33.692 * * [simplify]: iters left: 2 (19 enodes) 33.698 * * [simplify]: Extracting #0: cost 1 inf + 0 33.698 * * [simplify]: Extracting #1: cost 4 inf + 0 33.698 * * [simplify]: Extracting #2: cost 5 inf + 1 33.698 * * [simplify]: Extracting #3: cost 7 inf + 1 33.698 * * [simplify]: Extracting #4: cost 0 inf + 490 33.698 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.698 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.698 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 33.699 * [simplify]: Simplifying (/ 1 (sqrt 1)) 33.699 * * [simplify]: iters left: 3 (3 enodes) 33.702 * * [simplify]: iters left: 2 (11 enodes) 33.704 * * [simplify]: iters left: 1 (13 enodes) 33.708 * * [simplify]: Extracting #0: cost 1 inf + 0 33.708 * * [simplify]: Extracting #1: cost 0 inf + 1 33.708 * [simplify]: Simplified to 1 33.708 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.709 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.709 * * [simplify]: iters left: 3 (4 enodes) 33.710 * * [simplify]: iters left: 2 (14 enodes) 33.712 * * [simplify]: iters left: 1 (16 enodes) 33.715 * * [simplify]: Extracting #0: cost 1 inf + 0 33.715 * * [simplify]: Extracting #1: cost 4 inf + 0 33.715 * * [simplify]: Extracting #2: cost 5 inf + 1 33.715 * * [simplify]: Extracting #3: cost 3 inf + 43 33.715 * * [simplify]: Extracting #4: cost 1 inf + 166 33.715 * * [simplify]: Extracting #5: cost 0 inf + 248 33.716 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.716 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.716 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 33.716 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.716 * * [simplify]: iters left: 4 (5 enodes) 33.717 * * [simplify]: iters left: 3 (17 enodes) 33.720 * * [simplify]: iters left: 2 (19 enodes) 33.723 * * [simplify]: Extracting #0: cost 1 inf + 0 33.723 * * [simplify]: Extracting #1: cost 4 inf + 0 33.723 * * [simplify]: Extracting #2: cost 5 inf + 1 33.723 * * [simplify]: Extracting #3: cost 7 inf + 1 33.723 * * [simplify]: Extracting #4: cost 0 inf + 490 33.724 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.724 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.724 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.724 * * [simplify]: iters left: 4 (5 enodes) 33.726 * * [simplify]: iters left: 3 (17 enodes) 33.732 * * [simplify]: iters left: 2 (19 enodes) 33.738 * * [simplify]: Extracting #0: cost 1 inf + 0 33.738 * * [simplify]: Extracting #1: cost 4 inf + 0 33.738 * * [simplify]: Extracting #2: cost 5 inf + 1 33.738 * * [simplify]: Extracting #3: cost 7 inf + 1 33.738 * * [simplify]: Extracting #4: cost 0 inf + 490 33.738 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.738 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.738 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 33.739 * [simplify]: Simplifying (/ 1 1) 33.739 * * [simplify]: iters left: 2 (2 enodes) 33.740 * * [simplify]: iters left: 1 (6 enodes) 33.742 * * [simplify]: Extracting #0: cost 1 inf + 0 33.742 * * [simplify]: Extracting #1: cost 0 inf + 1 33.743 * [simplify]: Simplified to 1 33.743 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.743 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.743 * * [simplify]: iters left: 3 (4 enodes) 33.745 * * [simplify]: iters left: 2 (14 enodes) 33.750 * * [simplify]: iters left: 1 (16 enodes) 33.755 * * [simplify]: Extracting #0: cost 1 inf + 0 33.755 * * [simplify]: Extracting #1: cost 4 inf + 0 33.755 * * [simplify]: Extracting #2: cost 5 inf + 1 33.755 * * [simplify]: Extracting #3: cost 3 inf + 43 33.756 * * [simplify]: Extracting #4: cost 1 inf + 166 33.756 * * [simplify]: Extracting #5: cost 0 inf + 248 33.756 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.756 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.756 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 33.756 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 33.756 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 33.756 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 33.756 * [simplify]: Simplifying (cbrt (sqrt k)) 33.757 * * [simplify]: iters left: 2 (3 enodes) 33.757 * * [simplify]: iters left: 1 (9 enodes) 33.759 * * [simplify]: Extracting #0: cost 1 inf + 0 33.759 * * [simplify]: Extracting #1: cost 3 inf + 0 33.759 * * [simplify]: Extracting #2: cost 5 inf + 0 33.759 * * [simplify]: Extracting #3: cost 4 inf + 1 33.759 * * [simplify]: Extracting #4: cost 0 inf + 325 33.759 * [simplify]: Simplified to (cbrt (sqrt k)) 33.759 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.759 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 33.759 * [simplify]: Simplifying (sqrt (cbrt k)) 33.759 * * [simplify]: iters left: 2 (3 enodes) 33.760 * * [simplify]: iters left: 1 (9 enodes) 33.761 * * [simplify]: Extracting #0: cost 1 inf + 0 33.761 * * [simplify]: Extracting #1: cost 3 inf + 0 33.761 * * [simplify]: Extracting #2: cost 5 inf + 0 33.761 * * [simplify]: Extracting #3: cost 4 inf + 1 33.761 * * [simplify]: Extracting #4: cost 0 inf + 405 33.761 * [simplify]: Simplified to (sqrt (cbrt k)) 33.761 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.761 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 33.761 * [simplify]: Simplifying (sqrt (sqrt k)) 33.762 * * [simplify]: iters left: 2 (3 enodes) 33.762 * * [simplify]: iters left: 1 (9 enodes) 33.763 * * [simplify]: Extracting #0: cost 1 inf + 0 33.763 * * [simplify]: Extracting #1: cost 3 inf + 0 33.764 * * [simplify]: Extracting #2: cost 5 inf + 0 33.764 * * [simplify]: Extracting #3: cost 4 inf + 1 33.764 * * [simplify]: Extracting #4: cost 0 inf + 245 33.764 * [simplify]: Simplified to (sqrt (sqrt k)) 33.764 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.764 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 33.764 * [simplify]: Simplifying (sqrt k) 33.764 * * [simplify]: iters left: 1 (2 enodes) 33.764 * * [simplify]: Extracting #0: cost 1 inf + 0 33.764 * * [simplify]: Extracting #1: cost 3 inf + 0 33.764 * * [simplify]: Extracting #2: cost 2 inf + 1 33.765 * * [simplify]: Extracting #3: cost 0 inf + 83 33.765 * [simplify]: Simplified to (sqrt k) 33.765 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.765 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 33.765 * [simplify]: Simplifying (sqrt (sqrt k)) 33.765 * * [simplify]: iters left: 2 (3 enodes) 33.765 * * [simplify]: iters left: 1 (9 enodes) 33.767 * * [simplify]: Extracting #0: cost 1 inf + 0 33.767 * * [simplify]: Extracting #1: cost 3 inf + 0 33.767 * * [simplify]: Extracting #2: cost 5 inf + 0 33.767 * * [simplify]: Extracting #3: cost 4 inf + 1 33.767 * * [simplify]: Extracting #4: cost 0 inf + 245 33.767 * [simplify]: Simplified to (sqrt (sqrt k)) 33.767 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.767 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 33.767 * [simplify]: Simplifying (sqrt k) 33.767 * * [simplify]: iters left: 1 (2 enodes) 33.768 * * [simplify]: Extracting #0: cost 1 inf + 0 33.768 * * [simplify]: Extracting #1: cost 3 inf + 0 33.768 * * [simplify]: Extracting #2: cost 2 inf + 1 33.768 * * [simplify]: Extracting #3: cost 0 inf + 83 33.768 * [simplify]: Simplified to (sqrt k) 33.768 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.768 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 33.768 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 33.768 * * [simplify]: iters left: 3 (3 enodes) 33.772 * * [simplify]: iters left: 2 (11 enodes) 33.774 * * [simplify]: iters left: 1 (13 enodes) 33.775 * * [simplify]: Extracting #0: cost 1 inf + 0 33.775 * * [simplify]: Extracting #1: cost 0 inf + 1 33.775 * [simplify]: Simplified to 1 33.776 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.776 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 33.776 * [simplify]: Simplifying (sqrt 1) 33.776 * * [simplify]: iters left: 1 (2 enodes) 33.778 * * [simplify]: Extracting #0: cost 1 inf + 0 33.778 * * [simplify]: Extracting #1: cost 0 inf + 1 33.778 * [simplify]: Simplified to 1 33.778 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.778 * * * * [progress]: [ 104 / 188 ] simplifiying candidate # 33.778 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 33.778 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 33.778 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 33.778 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 33.778 * * [simplify]: iters left: 6 (17 enodes) 33.783 * * [simplify]: iters left: 5 (67 enodes) 33.805 * * [simplify]: iters left: 4 (111 enodes) 33.848 * * [simplify]: iters left: 3 (297 enodes) 33.937 * * [simplify]: Extracting #0: cost 1 inf + 0 33.937 * * [simplify]: Extracting #1: cost 33 inf + 0 33.937 * * [simplify]: Extracting #2: cost 87 inf + 0 33.938 * * [simplify]: Extracting #3: cost 150 inf + 73 33.938 * * [simplify]: Extracting #4: cost 166 inf + 857 33.941 * * [simplify]: Extracting #5: cost 94 inf + 17702 33.949 * * [simplify]: Extracting #6: cost 6 inf + 46007 33.963 * * [simplify]: Extracting #7: cost 0 inf + 48738 33.981 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 33.981 * [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))))) 33.981 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 33.981 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 33.982 * * [simplify]: iters left: 6 (16 enodes) 33.990 * * [simplify]: iters left: 5 (65 enodes) 34.011 * * [simplify]: iters left: 4 (104 enodes) 34.054 * * [simplify]: iters left: 3 (239 enodes) 34.151 * * [simplify]: Extracting #0: cost 1 inf + 0 34.152 * * [simplify]: Extracting #1: cost 27 inf + 0 34.152 * * [simplify]: Extracting #2: cost 74 inf + 0 34.153 * * [simplify]: Extracting #3: cost 128 inf + 2 34.154 * * [simplify]: Extracting #4: cost 142 inf + 759 34.158 * * [simplify]: Extracting #5: cost 73 inf + 12705 34.167 * * [simplify]: Extracting #6: cost 11 inf + 32489 34.174 * * [simplify]: Extracting #7: cost 1 inf + 36150 34.181 * * [simplify]: Extracting #8: cost 0 inf + 36684 34.189 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 34.189 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 34.189 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 34.190 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 34.190 * * [simplify]: iters left: 6 (15 enodes) 34.195 * * [simplify]: iters left: 5 (64 enodes) 34.217 * * [simplify]: iters left: 4 (111 enodes) 34.241 * * [simplify]: iters left: 3 (223 enodes) 34.333 * * [simplify]: Extracting #0: cost 1 inf + 0 34.334 * * [simplify]: Extracting #1: cost 19 inf + 0 34.334 * * [simplify]: Extracting #2: cost 65 inf + 0 34.335 * * [simplify]: Extracting #3: cost 121 inf + 2 34.336 * * [simplify]: Extracting #4: cost 142 inf + 741 34.340 * * [simplify]: Extracting #5: cost 72 inf + 12707 34.351 * * [simplify]: Extracting #6: cost 6 inf + 29228 34.363 * * [simplify]: Extracting #7: cost 1 inf + 30319 34.379 * * [simplify]: Extracting #8: cost 0 inf + 30744 34.391 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 34.391 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 34.391 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 34.392 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 34.392 * * [simplify]: iters left: 6 (15 enodes) 34.401 * * [simplify]: iters left: 5 (64 enodes) 34.420 * * [simplify]: iters left: 4 (111 enodes) 34.440 * * [simplify]: iters left: 3 (223 enodes) 34.515 * * [simplify]: Extracting #0: cost 1 inf + 0 34.516 * * [simplify]: Extracting #1: cost 19 inf + 0 34.516 * * [simplify]: Extracting #2: cost 65 inf + 0 34.517 * * [simplify]: Extracting #3: cost 121 inf + 2 34.518 * * [simplify]: Extracting #4: cost 142 inf + 741 34.522 * * [simplify]: Extracting #5: cost 72 inf + 12707 34.533 * * [simplify]: Extracting #6: cost 6 inf + 29228 34.546 * * [simplify]: Extracting #7: cost 1 inf + 30319 34.559 * * [simplify]: Extracting #8: cost 0 inf + 30744 34.571 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 34.571 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 34.572 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 34.572 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 34.572 * * [simplify]: iters left: 6 (15 enodes) 34.580 * * [simplify]: iters left: 5 (63 enodes) 34.600 * * [simplify]: iters left: 4 (107 enodes) 34.624 * * [simplify]: iters left: 3 (215 enodes) 34.688 * * [simplify]: Extracting #0: cost 1 inf + 0 34.688 * * [simplify]: Extracting #1: cost 20 inf + 0 34.688 * * [simplify]: Extracting #2: cost 95 inf + 0 34.689 * * [simplify]: Extracting #3: cost 169 inf + 2 34.690 * * [simplify]: Extracting #4: cost 176 inf + 579 34.691 * * [simplify]: Extracting #5: cost 115 inf + 10248 34.696 * * [simplify]: Extracting #6: cost 21 inf + 33876 34.711 * * [simplify]: Extracting #7: cost 0 inf + 40717 34.725 * * [simplify]: Extracting #8: cost 0 inf + 40597 34.732 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))) 34.732 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))))) 34.732 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 34.732 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 34.732 * * [simplify]: iters left: 6 (18 enodes) 34.738 * * [simplify]: iters left: 5 (73 enodes) 34.752 * * [simplify]: iters left: 4 (128 enodes) 34.788 * * [simplify]: iters left: 3 (376 enodes) 35.000 * * [simplify]: Extracting #0: cost 1 inf + 0 35.000 * * [simplify]: Extracting #1: cost 46 inf + 0 35.001 * * [simplify]: Extracting #2: cost 174 inf + 1 35.003 * * [simplify]: Extracting #3: cost 249 inf + 74 35.006 * * [simplify]: Extracting #4: cost 230 inf + 8323 35.020 * * [simplify]: Extracting #5: cost 63 inf + 59342 35.039 * * [simplify]: Extracting #6: cost 1 inf + 81574 35.055 * * [simplify]: Extracting #7: cost 0 inf + 82024 35.076 * * [simplify]: Extracting #8: cost 0 inf + 82023 35.106 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 35.106 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 35.106 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 35.106 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 35.106 * * [simplify]: iters left: 6 (17 enodes) 35.116 * * [simplify]: iters left: 5 (71 enodes) 35.144 * * [simplify]: iters left: 4 (121 enodes) 35.190 * * [simplify]: iters left: 3 (302 enodes) 35.307 * * [simplify]: Extracting #0: cost 1 inf + 0 35.307 * * [simplify]: Extracting #1: cost 37 inf + 0 35.308 * * [simplify]: Extracting #2: cost 145 inf + 1 35.309 * * [simplify]: Extracting #3: cost 215 inf + 3 35.312 * * [simplify]: Extracting #4: cost 201 inf + 6020 35.328 * * [simplify]: Extracting #5: cost 35 inf + 50552 35.357 * * [simplify]: Extracting #6: cost 0 inf + 62673 35.379 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 35.379 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 35.380 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 35.380 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.380 * * [simplify]: iters left: 6 (16 enodes) 35.385 * * [simplify]: iters left: 5 (70 enodes) 35.397 * * [simplify]: iters left: 4 (128 enodes) 35.423 * * [simplify]: iters left: 3 (276 enodes) 35.550 * * [simplify]: Extracting #0: cost 1 inf + 0 35.550 * * [simplify]: Extracting #1: cost 27 inf + 0 35.550 * * [simplify]: Extracting #2: cost 116 inf + 1 35.551 * * [simplify]: Extracting #3: cost 190 inf + 3 35.556 * * [simplify]: Extracting #4: cost 184 inf + 4125 35.562 * * [simplify]: Extracting #5: cost 63 inf + 31414 35.581 * * [simplify]: Extracting #6: cost 4 inf + 47655 35.601 * * [simplify]: Extracting #7: cost 0 inf + 48696 35.620 * * [simplify]: Extracting #8: cost 0 inf + 48688 35.641 * * [simplify]: Extracting #9: cost 0 inf + 48686 35.661 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 35.661 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 35.661 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 35.661 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.661 * * [simplify]: iters left: 6 (16 enodes) 35.671 * * [simplify]: iters left: 5 (70 enodes) 35.695 * * [simplify]: iters left: 4 (128 enodes) 35.743 * * [simplify]: iters left: 3 (276 enodes) 35.828 * * [simplify]: Extracting #0: cost 1 inf + 0 35.828 * * [simplify]: Extracting #1: cost 27 inf + 0 35.829 * * [simplify]: Extracting #2: cost 116 inf + 1 35.829 * * [simplify]: Extracting #3: cost 190 inf + 3 35.831 * * [simplify]: Extracting #4: cost 184 inf + 4125 35.836 * * [simplify]: Extracting #5: cost 63 inf + 31414 35.846 * * [simplify]: Extracting #6: cost 4 inf + 47655 35.856 * * [simplify]: Extracting #7: cost 0 inf + 48696 35.875 * * [simplify]: Extracting #8: cost 0 inf + 48688 35.899 * * [simplify]: Extracting #9: cost 0 inf + 48686 35.918 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 35.918 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 35.919 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 35.919 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 35.919 * * [simplify]: iters left: 6 (16 enodes) 35.928 * * [simplify]: iters left: 5 (69 enodes) 35.952 * * [simplify]: iters left: 4 (124 enodes) 35.995 * * [simplify]: iters left: 3 (259 enodes) 36.088 * * [simplify]: Extracting #0: cost 1 inf + 0 36.088 * * [simplify]: Extracting #1: cost 27 inf + 0 36.088 * * [simplify]: Extracting #2: cost 145 inf + 1 36.089 * * [simplify]: Extracting #3: cost 234 inf + 3 36.090 * * [simplify]: Extracting #4: cost 227 inf + 2046 36.093 * * [simplify]: Extracting #5: cost 143 inf + 17826 36.099 * * [simplify]: Extracting #6: cost 50 inf + 43416 36.120 * * [simplify]: Extracting #7: cost 0 inf + 57654 36.130 * * [simplify]: Extracting #8: cost 0 inf + 57614 36.141 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))) 36.141 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))))) 36.141 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 36.141 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 36.141 * * [simplify]: iters left: 6 (18 enodes) 36.147 * * [simplify]: iters left: 5 (74 enodes) 36.159 * * [simplify]: iters left: 4 (123 enodes) 36.211 * * [simplify]: iters left: 3 (352 enodes) 36.370 * * [simplify]: Extracting #0: cost 1 inf + 0 36.370 * * [simplify]: Extracting #1: cost 44 inf + 0 36.370 * * [simplify]: Extracting #2: cost 169 inf + 1 36.371 * * [simplify]: Extracting #3: cost 243 inf + 74 36.372 * * [simplify]: Extracting #4: cost 252 inf + 1557 36.375 * * [simplify]: Extracting #5: cost 186 inf + 15412 36.385 * * [simplify]: Extracting #6: cost 49 inf + 60900 36.403 * * [simplify]: Extracting #7: cost 4 inf + 78429 36.418 * * [simplify]: Extracting #8: cost 0 inf + 80185 36.433 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 36.433 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 36.433 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 36.434 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 36.434 * * [simplify]: iters left: 6 (17 enodes) 36.439 * * [simplify]: iters left: 5 (72 enodes) 36.454 * * [simplify]: iters left: 4 (116 enodes) 36.499 * * [simplify]: iters left: 3 (286 enodes) 36.636 * * [simplify]: Extracting #0: cost 1 inf + 0 36.637 * * [simplify]: Extracting #1: cost 36 inf + 0 36.637 * * [simplify]: Extracting #2: cost 139 inf + 1 36.639 * * [simplify]: Extracting #3: cost 209 inf + 3 36.642 * * [simplify]: Extracting #4: cost 196 inf + 6399 36.655 * * [simplify]: Extracting #5: cost 54 inf + 42664 36.678 * * [simplify]: Extracting #6: cost 1 inf + 60164 36.700 * * [simplify]: Extracting #7: cost 0 inf + 60309 36.724 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 36.724 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 36.724 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 36.724 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.725 * * [simplify]: iters left: 6 (16 enodes) 36.734 * * [simplify]: iters left: 5 (71 enodes) 36.761 * * [simplify]: iters left: 4 (123 enodes) 36.790 * * [simplify]: iters left: 3 (269 enodes) 36.922 * * [simplify]: Extracting #0: cost 1 inf + 0 36.922 * * [simplify]: Extracting #1: cost 27 inf + 0 36.923 * * [simplify]: Extracting #2: cost 116 inf + 1 36.924 * * [simplify]: Extracting #3: cost 190 inf + 3 36.926 * * [simplify]: Extracting #4: cost 179 inf + 5800 36.939 * * [simplify]: Extracting #5: cost 40 inf + 37465 36.958 * * [simplify]: Extracting #6: cost 0 inf + 48625 36.978 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 36.978 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 36.978 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 36.979 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.979 * * [simplify]: iters left: 6 (16 enodes) 36.988 * * [simplify]: iters left: 5 (71 enodes) 37.016 * * [simplify]: iters left: 4 (123 enodes) 37.061 * * [simplify]: iters left: 3 (269 enodes) 37.166 * * [simplify]: Extracting #0: cost 1 inf + 0 37.166 * * [simplify]: Extracting #1: cost 27 inf + 0 37.166 * * [simplify]: Extracting #2: cost 116 inf + 1 37.167 * * [simplify]: Extracting #3: cost 190 inf + 3 37.168 * * [simplify]: Extracting #4: cost 179 inf + 5800 37.175 * * [simplify]: Extracting #5: cost 40 inf + 37465 37.185 * * [simplify]: Extracting #6: cost 0 inf + 48625 37.195 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 37.195 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 37.195 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 37.196 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 37.196 * * [simplify]: iters left: 6 (16 enodes) 37.205 * * [simplify]: iters left: 5 (70 enodes) 37.233 * * [simplify]: iters left: 4 (119 enodes) 37.263 * * [simplify]: iters left: 3 (255 enodes) 37.346 * * [simplify]: Extracting #0: cost 1 inf + 0 37.346 * * [simplify]: Extracting #1: cost 28 inf + 0 37.347 * * [simplify]: Extracting #2: cost 145 inf + 1 37.348 * * [simplify]: Extracting #3: cost 234 inf + 3 37.350 * * [simplify]: Extracting #4: cost 225 inf + 2146 37.355 * * [simplify]: Extracting #5: cost 134 inf + 19971 37.368 * * [simplify]: Extracting #6: cost 36 inf + 44913 37.380 * * [simplify]: Extracting #7: cost 0 inf + 58023 37.390 * * [simplify]: Extracting #8: cost 0 inf + 57823 37.401 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 37.401 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 37.401 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 37.401 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 37.401 * * [simplify]: iters left: 6 (17 enodes) 37.406 * * [simplify]: iters left: 5 (71 enodes) 37.421 * * [simplify]: iters left: 4 (117 enodes) 37.466 * * [simplify]: iters left: 3 (308 enodes) 37.558 * * [simplify]: Extracting #0: cost 1 inf + 0 37.558 * * [simplify]: Extracting #1: cost 36 inf + 0 37.558 * * [simplify]: Extracting #2: cost 109 inf + 1 37.559 * * [simplify]: Extracting #3: cost 168 inf + 74 37.560 * * [simplify]: Extracting #4: cost 180 inf + 1235 37.566 * * [simplify]: Extracting #5: cost 98 inf + 21050 37.582 * * [simplify]: Extracting #6: cost 6 inf + 53801 37.598 * * [simplify]: Extracting #7: cost 0 inf + 55704 37.609 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 37.609 * [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))))) 37.610 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 37.610 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 37.610 * * [simplify]: iters left: 6 (16 enodes) 37.615 * * [simplify]: iters left: 5 (69 enodes) 37.635 * * [simplify]: iters left: 4 (110 enodes) 37.674 * * [simplify]: iters left: 3 (249 enodes) 37.749 * * [simplify]: Extracting #0: cost 1 inf + 0 37.749 * * [simplify]: Extracting #1: cost 29 inf + 0 37.749 * * [simplify]: Extracting #2: cost 89 inf + 1 37.750 * * [simplify]: Extracting #3: cost 144 inf + 3 37.750 * * [simplify]: Extracting #4: cost 163 inf + 464 37.752 * * [simplify]: Extracting #5: cost 105 inf + 8181 37.764 * * [simplify]: Extracting #6: cost 14 inf + 37863 37.782 * * [simplify]: Extracting #7: cost 1 inf + 41636 37.798 * * [simplify]: Extracting #8: cost 0 inf + 41977 37.819 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 37.819 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 37.819 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 37.820 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.820 * * [simplify]: iters left: 6 (15 enodes) 37.829 * * [simplify]: iters left: 5 (68 enodes) 37.844 * * [simplify]: iters left: 4 (117 enodes) 37.870 * * [simplify]: iters left: 3 (233 enodes) 37.952 * * [simplify]: Extracting #0: cost 1 inf + 0 37.952 * * [simplify]: Extracting #1: cost 21 inf + 0 37.952 * * [simplify]: Extracting #2: cost 77 inf + 1 37.953 * * [simplify]: Extracting #3: cost 133 inf + 74 37.953 * * [simplify]: Extracting #4: cost 151 inf + 995 37.956 * * [simplify]: Extracting #5: cost 77 inf + 13831 37.961 * * [simplify]: Extracting #6: cost 6 inf + 31822 37.968 * * [simplify]: Extracting #7: cost 0 inf + 34387 37.975 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 37.976 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 37.976 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 37.976 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.976 * * [simplify]: iters left: 6 (15 enodes) 37.981 * * [simplify]: iters left: 5 (68 enodes) 37.994 * * [simplify]: iters left: 4 (117 enodes) 38.018 * * [simplify]: iters left: 3 (233 enodes) 38.084 * * [simplify]: Extracting #0: cost 1 inf + 0 38.084 * * [simplify]: Extracting #1: cost 21 inf + 0 38.084 * * [simplify]: Extracting #2: cost 77 inf + 1 38.084 * * [simplify]: Extracting #3: cost 133 inf + 74 38.086 * * [simplify]: Extracting #4: cost 151 inf + 995 38.090 * * [simplify]: Extracting #5: cost 77 inf + 13831 38.101 * * [simplify]: Extracting #6: cost 6 inf + 31822 38.114 * * [simplify]: Extracting #7: cost 0 inf + 34387 38.128 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 38.128 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 38.128 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 38.128 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 38.129 * * [simplify]: iters left: 6 (15 enodes) 38.133 * * [simplify]: iters left: 5 (67 enodes) 38.145 * * [simplify]: iters left: 4 (117 enodes) 38.174 * * [simplify]: iters left: 3 (224 enodes) 38.273 * * [simplify]: Extracting #0: cost 1 inf + 0 38.273 * * [simplify]: Extracting #1: cost 22 inf + 0 38.274 * * [simplify]: Extracting #2: cost 106 inf + 1 38.275 * * [simplify]: Extracting #3: cost 179 inf + 74 38.276 * * [simplify]: Extracting #4: cost 179 inf + 1141 38.279 * * [simplify]: Extracting #5: cost 125 inf + 10759 38.290 * * [simplify]: Extracting #6: cost 29 inf + 38783 38.305 * * [simplify]: Extracting #7: cost 1 inf + 44007 38.320 * * [simplify]: Extracting #8: cost 0 inf + 44283 38.333 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 38.334 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 38.334 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 38.334 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 38.334 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 38.334 * [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)))) 38.334 * * [simplify]: iters left: 6 (19 enodes) 38.345 * * [simplify]: iters left: 5 (80 enodes) 38.360 * * [simplify]: iters left: 4 (188 enodes) 38.445 * * [simplify]: Extracting #0: cost 1 inf + 0 38.445 * * [simplify]: Extracting #1: cost 52 inf + 0 38.446 * * [simplify]: Extracting #2: cost 152 inf + 248 38.448 * * [simplify]: Extracting #3: cost 161 inf + 1681 38.451 * * [simplify]: Extracting #4: cost 148 inf + 2885 38.456 * * [simplify]: Extracting #5: cost 100 inf + 19336 38.467 * * [simplify]: Extracting #6: cost 2 inf + 75093 38.480 * * [simplify]: Extracting #7: cost 0 inf + 75063 38.496 * [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))) 38.496 * [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))))) 38.497 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 38.497 * [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)))) 38.497 * * [simplify]: iters left: 6 (17 enodes) 38.502 * * [simplify]: iters left: 5 (81 enodes) 38.525 * * [simplify]: iters left: 4 (170 enodes) 38.587 * * [simplify]: iters left: 3 (476 enodes) 38.944 * * [simplify]: Extracting #0: cost 1 inf + 0 38.944 * * [simplify]: Extracting #1: cost 91 inf + 0 38.947 * * [simplify]: Extracting #2: cost 417 inf + 3 38.951 * * [simplify]: Extracting #3: cost 448 inf + 952 38.954 * * [simplify]: Extracting #4: cost 416 inf + 4772 38.961 * * [simplify]: Extracting #5: cost 331 inf + 49541 39.002 * * [simplify]: Extracting #6: cost 64 inf + 238599 39.076 * * [simplify]: Extracting #7: cost 0 inf + 283122 39.125 * * [simplify]: Extracting #8: cost 0 inf + 280464 39.174 * * [simplify]: Extracting #9: cost 0 inf + 280424 39.239 * [simplify]: Simplified to (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))) 39.239 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))))) 39.239 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 39.239 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 39.239 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 39.239 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 39.240 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 39.240 * * [simplify]: iters left: 6 (9 enodes) 39.247 * * [simplify]: iters left: 5 (37 enodes) 39.262 * * [simplify]: iters left: 4 (66 enodes) 39.290 * * [simplify]: iters left: 3 (105 enodes) 39.325 * * [simplify]: iters left: 2 (164 enodes) 39.385 * * [simplify]: iters left: 1 (292 enodes) 39.491 * * [simplify]: Extracting #0: cost 1 inf + 0 39.491 * * [simplify]: Extracting #1: cost 18 inf + 0 39.491 * * [simplify]: Extracting #2: cost 64 inf + 3 39.491 * * [simplify]: Extracting #3: cost 68 inf + 53 39.492 * * [simplify]: Extracting #4: cost 55 inf + 2111 39.495 * * [simplify]: Extracting #5: cost 21 inf + 17969 39.506 * * [simplify]: Extracting #6: cost 0 inf + 32739 39.514 * * [simplify]: Extracting #7: cost 0 inf + 32659 39.519 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 39.519 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 39.520 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 39.522 * * [simplify]: iters left: 6 (10 enodes) 39.525 * * [simplify]: iters left: 5 (38 enodes) 39.532 * * [simplify]: iters left: 4 (62 enodes) 39.542 * * [simplify]: iters left: 3 (104 enodes) 39.560 * * [simplify]: iters left: 2 (205 enodes) 40.046 * * [simplify]: iters left: 1 (464 enodes) 40.314 * * [simplify]: Extracting #0: cost 1 inf + 0 40.314 * * [simplify]: Extracting #1: cost 47 inf + 0 40.315 * * [simplify]: Extracting #2: cost 169 inf + 0 40.316 * * [simplify]: Extracting #3: cost 207 inf + 87 40.317 * * [simplify]: Extracting #4: cost 170 inf + 6541 40.325 * * [simplify]: Extracting #5: cost 78 inf + 60938 40.345 * * [simplify]: Extracting #6: cost 4 inf + 129528 40.366 * * [simplify]: Extracting #7: cost 0 inf + 129330 40.392 * * [simplify]: Extracting #8: cost 0 inf + 127557 40.413 * * [simplify]: Extracting #9: cost 0 inf + 127427 40.435 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 40.435 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 40.435 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 40.435 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 40.435 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 40.435 * * [simplify]: iters left: 6 (15 enodes) 40.443 * * [simplify]: iters left: 5 (61 enodes) 40.462 * * [simplify]: iters left: 4 (91 enodes) 40.490 * * [simplify]: iters left: 3 (129 enodes) 40.536 * * [simplify]: iters left: 2 (215 enodes) 40.598 * * [simplify]: iters left: 1 (375 enodes) 40.724 * * [simplify]: Extracting #0: cost 1 inf + 0 40.724 * * [simplify]: Extracting #1: cost 4 inf + 0 40.724 * * [simplify]: Extracting #2: cost 9 inf + 0 40.724 * * [simplify]: Extracting #3: cost 39 inf + 0 40.724 * * [simplify]: Extracting #4: cost 118 inf + 2 40.725 * * [simplify]: Extracting #5: cost 138 inf + 713 40.727 * * [simplify]: Extracting #6: cost 87 inf + 9065 40.733 * * [simplify]: Extracting #7: cost 12 inf + 46205 40.751 * * [simplify]: Extracting #8: cost 0 inf + 55733 40.771 * * [simplify]: Extracting #9: cost 0 inf + 54639 40.792 * * [simplify]: Extracting #10: cost 0 inf + 54558 40.813 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 40.813 * [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)))))) 40.814 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 40.814 * * [simplify]: iters left: 6 (15 enodes) 40.823 * * [simplify]: iters left: 5 (61 enodes) 40.843 * * [simplify]: iters left: 4 (91 enodes) 40.864 * * [simplify]: iters left: 3 (129 enodes) 40.890 * * [simplify]: iters left: 2 (215 enodes) 40.941 * * [simplify]: iters left: 1 (375 enodes) 41.092 * * [simplify]: Extracting #0: cost 1 inf + 0 41.092 * * [simplify]: Extracting #1: cost 4 inf + 0 41.093 * * [simplify]: Extracting #2: cost 9 inf + 0 41.093 * * [simplify]: Extracting #3: cost 39 inf + 0 41.093 * * [simplify]: Extracting #4: cost 118 inf + 2 41.094 * * [simplify]: Extracting #5: cost 138 inf + 713 41.095 * * [simplify]: Extracting #6: cost 87 inf + 9065 41.102 * * [simplify]: Extracting #7: cost 12 inf + 46205 41.112 * * [simplify]: Extracting #8: cost 0 inf + 55733 41.122 * * [simplify]: Extracting #9: cost 0 inf + 54639 41.133 * * [simplify]: Extracting #10: cost 0 inf + 54558 41.156 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 41.156 * [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))))))) 41.157 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 41.157 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.157 * * [simplify]: iters left: 6 (15 enodes) 41.162 * * [simplify]: iters left: 5 (64 enodes) 41.173 * * [simplify]: iters left: 4 (101 enodes) 41.191 * * [simplify]: iters left: 3 (160 enodes) 41.248 * * [simplify]: iters left: 2 (299 enodes) 41.373 * * [simplify]: Extracting #0: cost 1 inf + 0 41.374 * * [simplify]: Extracting #1: cost 34 inf + 0 41.374 * * [simplify]: Extracting #2: cost 102 inf + 0 41.375 * * [simplify]: Extracting #3: cost 155 inf + 2 41.376 * * [simplify]: Extracting #4: cost 168 inf + 139 41.379 * * [simplify]: Extracting #5: cost 136 inf + 4159 41.384 * * [simplify]: Extracting #6: cost 78 inf + 13897 41.403 * * [simplify]: Extracting #7: cost 16 inf + 59233 41.424 * * [simplify]: Extracting #8: cost 0 inf + 73111 41.439 * * [simplify]: Extracting #9: cost 0 inf + 73021 41.450 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 41.450 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 41.451 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.451 * * [simplify]: iters left: 6 (15 enodes) 41.456 * * [simplify]: iters left: 5 (64 enodes) 41.468 * * [simplify]: iters left: 4 (101 enodes) 41.490 * * [simplify]: iters left: 3 (160 enodes) 41.528 * * [simplify]: iters left: 2 (299 enodes) 41.640 * * [simplify]: Extracting #0: cost 1 inf + 0 41.641 * * [simplify]: Extracting #1: cost 34 inf + 0 41.641 * * [simplify]: Extracting #2: cost 102 inf + 0 41.642 * * [simplify]: Extracting #3: cost 155 inf + 2 41.643 * * [simplify]: Extracting #4: cost 168 inf + 139 41.644 * * [simplify]: Extracting #5: cost 136 inf + 4159 41.647 * * [simplify]: Extracting #6: cost 78 inf + 13897 41.655 * * [simplify]: Extracting #7: cost 16 inf + 59233 41.668 * * [simplify]: Extracting #8: cost 0 inf + 73111 41.691 * * [simplify]: Extracting #9: cost 0 inf + 73021 41.713 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 41.713 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))) 41.714 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 41.714 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.714 * * [simplify]: iters left: 6 (16 enodes) 41.724 * * [simplify]: iters left: 5 (66 enodes) 41.746 * * [simplify]: iters left: 4 (106 enodes) 41.779 * * [simplify]: iters left: 3 (156 enodes) 41.806 * * [simplify]: iters left: 2 (230 enodes) 41.885 * * [simplify]: iters left: 1 (385 enodes) 42.028 * * [simplify]: Extracting #0: cost 1 inf + 0 42.028 * * [simplify]: Extracting #1: cost 7 inf + 0 42.028 * * [simplify]: Extracting #2: cost 13 inf + 1 42.028 * * [simplify]: Extracting #3: cost 39 inf + 1 42.029 * * [simplify]: Extracting #4: cost 111 inf + 288 42.031 * * [simplify]: Extracting #5: cost 135 inf + 1697 42.036 * * [simplify]: Extracting #6: cost 69 inf + 16537 42.050 * * [simplify]: Extracting #7: cost 2 inf + 58558 42.065 * * [simplify]: Extracting #8: cost 0 inf + 59911 42.081 * * [simplify]: Extracting #9: cost 0 inf + 59711 42.101 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 42.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.102 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.102 * * [simplify]: iters left: 6 (16 enodes) 42.112 * * [simplify]: iters left: 5 (66 enodes) 42.128 * * [simplify]: iters left: 4 (106 enodes) 42.146 * * [simplify]: iters left: 3 (156 enodes) 42.187 * * [simplify]: iters left: 2 (230 enodes) 42.244 * * [simplify]: iters left: 1 (385 enodes) 42.403 * * [simplify]: Extracting #0: cost 1 inf + 0 42.403 * * [simplify]: Extracting #1: cost 7 inf + 0 42.403 * * [simplify]: Extracting #2: cost 13 inf + 1 42.403 * * [simplify]: Extracting #3: cost 39 inf + 1 42.404 * * [simplify]: Extracting #4: cost 111 inf + 288 42.405 * * [simplify]: Extracting #5: cost 135 inf + 1697 42.415 * * [simplify]: Extracting #6: cost 69 inf + 16537 42.430 * * [simplify]: Extracting #7: cost 2 inf + 58558 42.448 * * [simplify]: Extracting #8: cost 0 inf + 59911 42.466 * * [simplify]: Extracting #9: cost 0 inf + 59711 42.484 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 42.484 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 42.484 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 42.485 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 42.485 * * [simplify]: iters left: 6 (16 enodes) 42.494 * * [simplify]: iters left: 5 (69 enodes) 42.516 * * [simplify]: iters left: 4 (113 enodes) 42.549 * * [simplify]: iters left: 3 (192 enodes) 42.605 * * [simplify]: iters left: 2 (378 enodes) 42.759 * * [simplify]: Extracting #0: cost 1 inf + 0 42.759 * * [simplify]: Extracting #1: cost 45 inf + 0 42.760 * * [simplify]: Extracting #2: cost 112 inf + 1 42.761 * * [simplify]: Extracting #3: cost 167 inf + 3 42.762 * * [simplify]: Extracting #4: cost 176 inf + 259 42.765 * * [simplify]: Extracting #5: cost 141 inf + 5103 42.777 * * [simplify]: Extracting #6: cost 76 inf + 19730 42.790 * * [simplify]: Extracting #7: cost 10 inf + 66527 42.803 * * [simplify]: Extracting #8: cost 0 inf + 76629 42.819 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 42.819 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 42.819 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 42.820 * * [simplify]: iters left: 6 (16 enodes) 42.829 * * [simplify]: iters left: 5 (69 enodes) 42.850 * * [simplify]: iters left: 4 (113 enodes) 42.871 * * [simplify]: iters left: 3 (192 enodes) 42.917 * * [simplify]: iters left: 2 (378 enodes) 43.039 * * [simplify]: Extracting #0: cost 1 inf + 0 43.039 * * [simplify]: Extracting #1: cost 45 inf + 0 43.040 * * [simplify]: Extracting #2: cost 112 inf + 1 43.040 * * [simplify]: Extracting #3: cost 167 inf + 3 43.041 * * [simplify]: Extracting #4: cost 176 inf + 259 43.043 * * [simplify]: Extracting #5: cost 141 inf + 5103 43.054 * * [simplify]: Extracting #6: cost 76 inf + 19730 43.074 * * [simplify]: Extracting #7: cost 10 inf + 66527 43.099 * * [simplify]: Extracting #8: cost 0 inf + 76629 43.124 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.124 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 43.125 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 43.125 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 43.125 * * [simplify]: iters left: 6 (16 enodes) 43.134 * * [simplify]: iters left: 5 (66 enodes) 43.146 * * [simplify]: iters left: 4 (106 enodes) 43.164 * * [simplify]: iters left: 3 (156 enodes) 43.190 * * [simplify]: iters left: 2 (230 enodes) 43.252 * * [simplify]: iters left: 1 (385 enodes) 43.379 * * [simplify]: Extracting #0: cost 1 inf + 0 43.379 * * [simplify]: Extracting #1: cost 7 inf + 0 43.379 * * [simplify]: Extracting #2: cost 13 inf + 1 43.379 * * [simplify]: Extracting #3: cost 39 inf + 1 43.380 * * [simplify]: Extracting #4: cost 111 inf + 288 43.382 * * [simplify]: Extracting #5: cost 135 inf + 1697 43.387 * * [simplify]: Extracting #6: cost 69 inf + 16537 43.401 * * [simplify]: Extracting #7: cost 2 inf + 58558 43.418 * * [simplify]: Extracting #8: cost 0 inf + 59911 43.434 * * [simplify]: Extracting #9: cost 0 inf + 59711 43.443 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 43.443 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.444 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 43.444 * * [simplify]: iters left: 6 (16 enodes) 43.449 * * [simplify]: iters left: 5 (66 enodes) 43.462 * * [simplify]: iters left: 4 (106 enodes) 43.479 * * [simplify]: iters left: 3 (156 enodes) 43.508 * * [simplify]: iters left: 2 (230 enodes) 43.591 * * [simplify]: iters left: 1 (385 enodes) 43.720 * * [simplify]: Extracting #0: cost 1 inf + 0 43.720 * * [simplify]: Extracting #1: cost 7 inf + 0 43.720 * * [simplify]: Extracting #2: cost 13 inf + 1 43.720 * * [simplify]: Extracting #3: cost 39 inf + 1 43.721 * * [simplify]: Extracting #4: cost 111 inf + 288 43.721 * * [simplify]: Extracting #5: cost 135 inf + 1697 43.724 * * [simplify]: Extracting #6: cost 69 inf + 16537 43.740 * * [simplify]: Extracting #7: cost 2 inf + 58558 43.758 * * [simplify]: Extracting #8: cost 0 inf + 59911 43.777 * * [simplify]: Extracting #9: cost 0 inf + 59711 43.795 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 43.795 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 43.795 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 43.796 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.796 * * [simplify]: iters left: 6 (16 enodes) 43.802 * * [simplify]: iters left: 5 (69 enodes) 43.816 * * [simplify]: iters left: 4 (113 enodes) 43.846 * * [simplify]: iters left: 3 (192 enodes) 43.888 * * [simplify]: iters left: 2 (378 enodes) 44.042 * * [simplify]: Extracting #0: cost 1 inf + 0 44.043 * * [simplify]: Extracting #1: cost 45 inf + 0 44.043 * * [simplify]: Extracting #2: cost 112 inf + 1 44.044 * * [simplify]: Extracting #3: cost 167 inf + 3 44.045 * * [simplify]: Extracting #4: cost 176 inf + 259 44.047 * * [simplify]: Extracting #5: cost 141 inf + 5103 44.054 * * [simplify]: Extracting #6: cost 76 inf + 19730 44.068 * * [simplify]: Extracting #7: cost 10 inf + 66527 44.080 * * [simplify]: Extracting #8: cost 0 inf + 76629 44.109 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 44.109 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 44.110 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 44.110 * * [simplify]: iters left: 6 (16 enodes) 44.120 * * [simplify]: iters left: 5 (69 enodes) 44.139 * * [simplify]: iters left: 4 (113 enodes) 44.159 * * [simplify]: iters left: 3 (192 enodes) 44.238 * * [simplify]: iters left: 2 (378 enodes) 44.356 * * [simplify]: Extracting #0: cost 1 inf + 0 44.357 * * [simplify]: Extracting #1: cost 45 inf + 0 44.357 * * [simplify]: Extracting #2: cost 112 inf + 1 44.358 * * [simplify]: Extracting #3: cost 167 inf + 3 44.358 * * [simplify]: Extracting #4: cost 176 inf + 259 44.360 * * [simplify]: Extracting #5: cost 141 inf + 5103 44.368 * * [simplify]: Extracting #6: cost 76 inf + 19730 44.388 * * [simplify]: Extracting #7: cost 10 inf + 66527 44.401 * * [simplify]: Extracting #8: cost 0 inf + 76629 44.417 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 44.417 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 44.417 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 44.417 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 44.417 * * [simplify]: iters left: 6 (15 enodes) 44.422 * * [simplify]: iters left: 5 (63 enodes) 44.437 * * [simplify]: iters left: 4 (97 enodes) 44.469 * * [simplify]: iters left: 3 (152 enodes) 44.522 * * [simplify]: iters left: 2 (244 enodes) 44.605 * * [simplify]: iters left: 1 (400 enodes) 44.721 * * [simplify]: Extracting #0: cost 1 inf + 0 44.721 * * [simplify]: Extracting #1: cost 7 inf + 0 44.721 * * [simplify]: Extracting #2: cost 13 inf + 1 44.721 * * [simplify]: Extracting #3: cost 39 inf + 1 44.722 * * [simplify]: Extracting #4: cost 113 inf + 3 44.724 * * [simplify]: Extracting #5: cost 147 inf + 1541 44.730 * * [simplify]: Extracting #6: cost 70 inf + 15032 44.748 * * [simplify]: Extracting #7: cost 17 inf + 41663 44.765 * * [simplify]: Extracting #8: cost 0 inf + 55513 44.781 * * [simplify]: Extracting #9: cost 0 inf + 55313 44.799 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 44.799 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.799 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 44.799 * * [simplify]: iters left: 6 (15 enodes) 44.808 * * [simplify]: iters left: 5 (63 enodes) 44.828 * * [simplify]: iters left: 4 (97 enodes) 44.860 * * [simplify]: iters left: 3 (152 enodes) 44.908 * * [simplify]: iters left: 2 (244 enodes) 44.951 * * [simplify]: iters left: 1 (400 enodes) 45.066 * * [simplify]: Extracting #0: cost 1 inf + 0 45.066 * * [simplify]: Extracting #1: cost 7 inf + 0 45.066 * * [simplify]: Extracting #2: cost 13 inf + 1 45.066 * * [simplify]: Extracting #3: cost 39 inf + 1 45.067 * * [simplify]: Extracting #4: cost 113 inf + 3 45.067 * * [simplify]: Extracting #5: cost 147 inf + 1541 45.070 * * [simplify]: Extracting #6: cost 70 inf + 15032 45.077 * * [simplify]: Extracting #7: cost 17 inf + 41663 45.086 * * [simplify]: Extracting #8: cost 0 inf + 55513 45.096 * * [simplify]: Extracting #9: cost 0 inf + 55313 45.105 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 45.105 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 45.106 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 45.106 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 45.106 * * [simplify]: iters left: 6 (15 enodes) 45.115 * * [simplify]: iters left: 5 (66 enodes) 45.137 * * [simplify]: iters left: 4 (109 enodes) 45.168 * * [simplify]: iters left: 3 (192 enodes) 45.232 * * [simplify]: iters left: 2 (371 enodes) 45.378 * * [simplify]: Extracting #0: cost 1 inf + 0 45.378 * * [simplify]: Extracting #1: cost 40 inf + 0 45.379 * * [simplify]: Extracting #2: cost 127 inf + 1 45.380 * * [simplify]: Extracting #3: cost 186 inf + 3 45.381 * * [simplify]: Extracting #4: cost 180 inf + 1500 45.383 * * [simplify]: Extracting #5: cost 115 inf + 12508 45.394 * * [simplify]: Extracting #6: cost 18 inf + 70745 45.421 * * [simplify]: Extracting #7: cost 0 inf + 85905 45.448 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 45.448 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 45.449 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 45.449 * * [simplify]: iters left: 6 (15 enodes) 45.457 * * [simplify]: iters left: 5 (66 enodes) 45.481 * * [simplify]: iters left: 4 (109 enodes) 45.518 * * [simplify]: iters left: 3 (192 enodes) 45.591 * * [simplify]: iters left: 2 (371 enodes) 45.770 * * [simplify]: Extracting #0: cost 1 inf + 0 45.771 * * [simplify]: Extracting #1: cost 40 inf + 0 45.771 * * [simplify]: Extracting #2: cost 127 inf + 1 45.773 * * [simplify]: Extracting #3: cost 186 inf + 3 45.775 * * [simplify]: Extracting #4: cost 180 inf + 1500 45.780 * * [simplify]: Extracting #5: cost 115 inf + 12508 45.799 * * [simplify]: Extracting #6: cost 18 inf + 70745 45.825 * * [simplify]: Extracting #7: cost 0 inf + 85905 45.841 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 45.841 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 45.841 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 45.842 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 45.842 * * [simplify]: iters left: 6 (15 enodes) 45.846 * * [simplify]: iters left: 5 (63 enodes) 45.857 * * [simplify]: iters left: 4 (97 enodes) 45.875 * * [simplify]: iters left: 3 (152 enodes) 45.903 * * [simplify]: iters left: 2 (244 enodes) 45.986 * * [simplify]: iters left: 1 (400 enodes) 46.128 * * [simplify]: Extracting #0: cost 1 inf + 0 46.128 * * [simplify]: Extracting #1: cost 7 inf + 0 46.128 * * [simplify]: Extracting #2: cost 13 inf + 1 46.128 * * [simplify]: Extracting #3: cost 39 inf + 1 46.128 * * [simplify]: Extracting #4: cost 113 inf + 3 46.129 * * [simplify]: Extracting #5: cost 147 inf + 1541 46.132 * * [simplify]: Extracting #6: cost 70 inf + 15032 46.141 * * [simplify]: Extracting #7: cost 17 inf + 41663 46.150 * * [simplify]: Extracting #8: cost 0 inf + 55513 46.159 * * [simplify]: Extracting #9: cost 0 inf + 55313 46.177 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 46.177 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 46.178 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 46.178 * * [simplify]: iters left: 6 (15 enodes) 46.186 * * [simplify]: iters left: 5 (63 enodes) 46.207 * * [simplify]: iters left: 4 (97 enodes) 46.226 * * [simplify]: iters left: 3 (152 enodes) 46.261 * * [simplify]: iters left: 2 (244 enodes) 46.314 * * [simplify]: iters left: 1 (400 enodes) 46.504 * * [simplify]: Extracting #0: cost 1 inf + 0 46.505 * * [simplify]: Extracting #1: cost 7 inf + 0 46.505 * * [simplify]: Extracting #2: cost 13 inf + 1 46.505 * * [simplify]: Extracting #3: cost 39 inf + 1 46.506 * * [simplify]: Extracting #4: cost 113 inf + 3 46.507 * * [simplify]: Extracting #5: cost 147 inf + 1541 46.513 * * [simplify]: Extracting #6: cost 70 inf + 15032 46.526 * * [simplify]: Extracting #7: cost 17 inf + 41663 46.543 * * [simplify]: Extracting #8: cost 0 inf + 55513 46.561 * * [simplify]: Extracting #9: cost 0 inf + 55313 46.578 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 46.578 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 46.579 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 46.579 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 46.579 * * [simplify]: iters left: 6 (15 enodes) 46.588 * * [simplify]: iters left: 5 (66 enodes) 46.610 * * [simplify]: iters left: 4 (109 enodes) 46.651 * * [simplify]: iters left: 3 (192 enodes) 46.728 * * [simplify]: iters left: 2 (371 enodes) 46.859 * * [simplify]: Extracting #0: cost 1 inf + 0 46.859 * * [simplify]: Extracting #1: cost 40 inf + 0 46.859 * * [simplify]: Extracting #2: cost 127 inf + 1 46.860 * * [simplify]: Extracting #3: cost 186 inf + 3 46.861 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.864 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.874 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.890 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.904 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.904 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 46.904 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 46.904 * * [simplify]: iters left: 6 (15 enodes) 46.909 * * [simplify]: iters left: 5 (66 enodes) 46.930 * * [simplify]: iters left: 4 (109 enodes) 46.950 * * [simplify]: iters left: 3 (192 enodes) 47.026 * * [simplify]: iters left: 2 (371 enodes) 47.168 * * [simplify]: Extracting #0: cost 1 inf + 0 47.168 * * [simplify]: Extracting #1: cost 40 inf + 0 47.169 * * [simplify]: Extracting #2: cost 127 inf + 1 47.170 * * [simplify]: Extracting #3: cost 186 inf + 3 47.172 * * [simplify]: Extracting #4: cost 180 inf + 1500 47.178 * * [simplify]: Extracting #5: cost 115 inf + 12508 47.196 * * [simplify]: Extracting #6: cost 18 inf + 70745 47.223 * * [simplify]: Extracting #7: cost 0 inf + 85905 47.254 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 47.254 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 47.254 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 47.254 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 47.254 * * [simplify]: iters left: 5 (7 enodes) 47.259 * * [simplify]: iters left: 4 (32 enodes) 47.271 * * [simplify]: iters left: 3 (57 enodes) 47.289 * * [simplify]: iters left: 2 (88 enodes) 47.319 * * [simplify]: iters left: 1 (156 enodes) 47.381 * * [simplify]: Extracting #0: cost 1 inf + 0 47.381 * * [simplify]: Extracting #1: cost 13 inf + 0 47.381 * * [simplify]: Extracting #2: cost 49 inf + 2 47.382 * * [simplify]: Extracting #3: cost 80 inf + 6 47.383 * * [simplify]: Extracting #4: cost 58 inf + 1840 47.386 * * [simplify]: Extracting #5: cost 22 inf + 9206 47.393 * * [simplify]: Extracting #6: cost 1 inf + 20886 47.396 * * [simplify]: Extracting #7: cost 0 inf + 21301 47.399 * * [simplify]: Extracting #8: cost 0 inf + 21130 47.402 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 47.402 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 47.402 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 47.402 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 47.402 * * [simplify]: iters left: 6 (11 enodes) 47.406 * * [simplify]: iters left: 5 (48 enodes) 47.415 * * [simplify]: iters left: 4 (77 enodes) 47.429 * * [simplify]: iters left: 3 (118 enodes) 47.462 * * [simplify]: iters left: 2 (206 enodes) 47.513 * * [simplify]: iters left: 1 (370 enodes) 47.661 * * [simplify]: Extracting #0: cost 1 inf + 0 47.661 * * [simplify]: Extracting #1: cost 3 inf + 0 47.661 * * [simplify]: Extracting #2: cost 27 inf + 0 47.662 * * [simplify]: Extracting #3: cost 102 inf + 1 47.663 * * [simplify]: Extracting #4: cost 162 inf + 134 47.664 * * [simplify]: Extracting #5: cost 156 inf + 519 47.669 * * [simplify]: Extracting #6: cost 94 inf + 9125 47.678 * * [simplify]: Extracting #7: cost 36 inf + 32718 47.689 * * [simplify]: Extracting #8: cost 2 inf + 60006 47.700 * * [simplify]: Extracting #9: cost 0 inf + 59623 47.717 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 47.717 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 47.717 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 47.718 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 47.718 * * [simplify]: iters left: 6 (11 enodes) 47.721 * * [simplify]: iters left: 5 (48 enodes) 47.729 * * [simplify]: iters left: 4 (78 enodes) 47.742 * * [simplify]: iters left: 3 (119 enodes) 47.779 * * [simplify]: iters left: 2 (210 enodes) 47.830 * * [simplify]: iters left: 1 (383 enodes) 47.990 * * [simplify]: Extracting #0: cost 1 inf + 0 47.990 * * [simplify]: Extracting #1: cost 4 inf + 0 47.990 * * [simplify]: Extracting #2: cost 28 inf + 0 47.991 * * [simplify]: Extracting #3: cost 110 inf + 1 47.992 * * [simplify]: Extracting #4: cost 152 inf + 178 47.993 * * [simplify]: Extracting #5: cost 142 inf + 935 47.995 * * [simplify]: Extracting #6: cost 87 inf + 7703 48.001 * * [simplify]: Extracting #7: cost 23 inf + 38047 48.009 * * [simplify]: Extracting #8: cost 1 inf + 56893 48.019 * * [simplify]: Extracting #9: cost 0 inf + 58062 48.031 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 48.031 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.031 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 48.031 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 48.032 * * [simplify]: iters left: 5 (10 enodes) 48.038 * * [simplify]: iters left: 4 (45 enodes) 48.053 * * [simplify]: iters left: 3 (78 enodes) 48.079 * * [simplify]: iters left: 2 (118 enodes) 48.122 * * [simplify]: iters left: 1 (191 enodes) 48.192 * * [simplify]: Extracting #0: cost 1 inf + 0 48.192 * * [simplify]: Extracting #1: cost 13 inf + 0 48.192 * * [simplify]: Extracting #2: cost 59 inf + 1 48.193 * * [simplify]: Extracting #3: cost 91 inf + 7 48.194 * * [simplify]: Extracting #4: cost 83 inf + 556 48.197 * * [simplify]: Extracting #5: cost 33 inf + 11764 48.205 * * [simplify]: Extracting #6: cost 0 inf + 23469 48.214 * * [simplify]: Extracting #7: cost 0 inf + 23146 48.223 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 48.223 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 48.223 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 48.224 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 48.224 * * [simplify]: iters left: 6 (11 enodes) 48.231 * * [simplify]: iters left: 5 (51 enodes) 48.253 * * [simplify]: iters left: 4 (87 enodes) 48.282 * * [simplify]: iters left: 3 (143 enodes) 48.312 * * [simplify]: iters left: 2 (259 enodes) 48.408 * * [simplify]: iters left: 1 (469 enodes) 48.666 * * [simplify]: Extracting #0: cost 1 inf + 0 48.666 * * [simplify]: Extracting #1: cost 23 inf + 0 48.667 * * [simplify]: Extracting #2: cost 109 inf + 1 48.668 * * [simplify]: Extracting #3: cost 194 inf + 137 48.671 * * [simplify]: Extracting #4: cost 176 inf + 2344 48.679 * * [simplify]: Extracting #5: cost 80 inf + 17283 48.696 * * [simplify]: Extracting #6: cost 12 inf + 52046 48.722 * * [simplify]: Extracting #7: cost 0 inf + 61992 48.743 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 48.743 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 48.743 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 48.743 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 48.743 * * [simplify]: iters left: 6 (6 enodes) 48.747 * * [simplify]: iters left: 5 (20 enodes) 48.753 * * [simplify]: iters left: 4 (22 enodes) 48.758 * * [simplify]: Extracting #0: cost 1 inf + 0 48.758 * * [simplify]: Extracting #1: cost 3 inf + 0 48.758 * * [simplify]: Extracting #2: cost 5 inf + 0 48.758 * * [simplify]: Extracting #3: cost 8 inf + 0 48.758 * * [simplify]: Extracting #4: cost 9 inf + 1 48.758 * * [simplify]: Extracting #5: cost 8 inf + 2 48.758 * * [simplify]: Extracting #6: cost 1 inf + 774 48.758 * * [simplify]: Extracting #7: cost 0 inf + 976 48.759 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 48.759 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.759 * * * * [progress]: [ 152 / 188 ] simplifiying candidate # 48.759 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 48.759 * * [simplify]: iters left: 4 (5 enodes) 48.760 * * [simplify]: iters left: 3 (17 enodes) 48.763 * * [simplify]: iters left: 2 (19 enodes) 48.766 * * [simplify]: Extracting #0: cost 1 inf + 0 48.766 * * [simplify]: Extracting #1: cost 3 inf + 0 48.766 * * [simplify]: Extracting #2: cost 6 inf + 0 48.766 * * [simplify]: Extracting #3: cost 7 inf + 1 48.766 * * [simplify]: Extracting #4: cost 0 inf + 492 48.766 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 48.766 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.766 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 48.766 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.766 * * [simplify]: iters left: 6 (8 enodes) 48.769 * * [simplify]: iters left: 5 (32 enodes) 48.774 * * [simplify]: iters left: 4 (48 enodes) 48.783 * * [simplify]: iters left: 3 (76 enodes) 48.794 * * [simplify]: iters left: 2 (81 enodes) 48.800 * * [simplify]: Extracting #0: cost 1 inf + 0 48.800 * * [simplify]: Extracting #1: cost 6 inf + 0 48.800 * * [simplify]: Extracting #2: cost 9 inf + 1 48.801 * * [simplify]: Extracting #3: cost 11 inf + 1 48.801 * * [simplify]: Extracting #4: cost 2 inf + 1052 48.801 * * [simplify]: Extracting #5: cost 0 inf + 1376 48.801 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.801 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.801 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 48.802 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 48.802 * * [simplify]: iters left: 6 (8 enodes) 48.804 * * [simplify]: iters left: 5 (29 enodes) 48.810 * * [simplify]: iters left: 4 (31 enodes) 48.818 * * [simplify]: Extracting #0: cost 1 inf + 0 48.818 * * [simplify]: Extracting #1: cost 4 inf + 0 48.818 * * [simplify]: Extracting #2: cost 6 inf + 1 48.818 * * [simplify]: Extracting #3: cost 9 inf + 1 48.818 * * [simplify]: Extracting #4: cost 8 inf + 2 48.819 * * [simplify]: Extracting #5: cost 2 inf + 729 48.819 * * [simplify]: Extracting #6: cost 0 inf + 972 48.819 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.819 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.819 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 48.820 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.820 * * [simplify]: iters left: 5 (7 enodes) 48.825 * * [simplify]: iters left: 4 (25 enodes) 48.835 * * [simplify]: iters left: 3 (27 enodes) 48.842 * * [simplify]: Extracting #0: cost 1 inf + 0 48.842 * * [simplify]: Extracting #1: cost 4 inf + 0 48.842 * * [simplify]: Extracting #2: cost 5 inf + 1 48.842 * * [simplify]: Extracting #3: cost 7 inf + 1 48.842 * * [simplify]: Extracting #4: cost 6 inf + 2 48.842 * * [simplify]: Extracting #5: cost 2 inf + 368 48.842 * * [simplify]: Extracting #6: cost 0 inf + 490 48.842 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.842 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.843 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 48.843 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 48.843 * * [simplify]: iters left: 5 (5 enodes) 48.852 * * [simplify]: iters left: 4 (19 enodes) 48.857 * * [simplify]: iters left: 3 (21 enodes) 48.861 * * [simplify]: Extracting #0: cost 1 inf + 0 48.861 * * [simplify]: Extracting #1: cost 0 inf + 1 48.861 * [simplify]: Simplified to 1 48.861 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.861 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 48.861 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.862 * * [simplify]: iters left: 5 (7 enodes) 48.866 * * [simplify]: iters left: 4 (25 enodes) 48.874 * * [simplify]: iters left: 3 (27 enodes) 48.881 * * [simplify]: Extracting #0: cost 1 inf + 0 48.881 * * [simplify]: Extracting #1: cost 4 inf + 0 48.882 * * [simplify]: Extracting #2: cost 5 inf + 1 48.882 * * [simplify]: Extracting #3: cost 7 inf + 1 48.882 * * [simplify]: Extracting #4: cost 6 inf + 2 48.882 * * [simplify]: Extracting #5: cost 2 inf + 368 48.882 * * [simplify]: Extracting #6: cost 0 inf + 490 48.883 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.883 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.883 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 48.883 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 48.883 * * [simplify]: iters left: 5 (4 enodes) 48.891 * * [simplify]: iters left: 4 (14 enodes) 48.894 * * [simplify]: iters left: 3 (16 enodes) 48.898 * * [simplify]: Extracting #0: cost 1 inf + 0 48.898 * * [simplify]: Extracting #1: cost 0 inf + 1 48.898 * [simplify]: Simplified to 1 48.898 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.898 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 48.898 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.898 * * [simplify]: iters left: 6 (7 enodes) 48.904 * * [simplify]: iters left: 5 (25 enodes) 48.911 * * [simplify]: iters left: 4 (32 enodes) 48.920 * * [simplify]: iters left: 3 (34 enodes) 48.929 * * [simplify]: Extracting #0: cost 1 inf + 0 48.930 * * [simplify]: Extracting #1: cost 7 inf + 0 48.930 * * [simplify]: Extracting #2: cost 11 inf + 1 48.930 * * [simplify]: Extracting #3: cost 13 inf + 1 48.930 * * [simplify]: Extracting #4: cost 10 inf + 84 48.930 * * [simplify]: Extracting #5: cost 4 inf + 1014 48.930 * * [simplify]: Extracting #6: cost 1 inf + 1498 48.931 * * [simplify]: Extracting #7: cost 0 inf + 1700 48.931 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 48.932 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.932 * * * * [progress]: [ 160 / 188 ] simplifiying candidate # 48.932 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 48.932 * * [simplify]: iters left: 6 (7 enodes) 48.937 * * [simplify]: iters left: 5 (24 enodes) 48.944 * * [simplify]: iters left: 4 (26 enodes) 48.951 * * [simplify]: Extracting #0: cost 1 inf + 0 48.951 * * [simplify]: Extracting #1: cost 4 inf + 0 48.951 * * [simplify]: Extracting #2: cost 6 inf + 1 48.952 * * [simplify]: Extracting #3: cost 9 inf + 1 48.952 * * [simplify]: Extracting #4: cost 8 inf + 2 48.952 * * [simplify]: Extracting #5: cost 2 inf + 730 48.952 * * [simplify]: Extracting #6: cost 0 inf + 972 48.952 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.952 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.953 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 48.953 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.953 * * [simplify]: iters left: 4 (6 enodes) 48.957 * * [simplify]: iters left: 3 (20 enodes) 48.963 * * [simplify]: iters left: 2 (22 enodes) 48.969 * * [simplify]: Extracting #0: cost 1 inf + 0 48.969 * * [simplify]: Extracting #1: cost 4 inf + 0 48.969 * * [simplify]: Extracting #2: cost 5 inf + 1 48.969 * * [simplify]: Extracting #3: cost 7 inf + 1 48.969 * * [simplify]: Extracting #4: cost 1 inf + 368 48.970 * * [simplify]: Extracting #5: cost 0 inf + 490 48.970 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.970 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.970 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 48.970 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 48.970 * * [simplify]: iters left: 3 (3 enodes) 48.974 * * [simplify]: iters left: 2 (9 enodes) 48.976 * * [simplify]: iters left: 1 (11 enodes) 48.979 * * [simplify]: Extracting #0: cost 1 inf + 0 48.980 * * [simplify]: Extracting #1: cost 0 inf + 1 48.980 * [simplify]: Simplified to 1 48.980 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.980 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 48.980 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.980 * * [simplify]: iters left: 4 (6 enodes) 48.985 * * [simplify]: iters left: 3 (20 enodes) 48.993 * * [simplify]: iters left: 2 (22 enodes) 48.999 * * [simplify]: Extracting #0: cost 1 inf + 0 48.999 * * [simplify]: Extracting #1: cost 4 inf + 0 48.999 * * [simplify]: Extracting #2: cost 5 inf + 1 48.999 * * [simplify]: Extracting #3: cost 7 inf + 1 48.999 * * [simplify]: Extracting #4: cost 1 inf + 368 49.000 * * [simplify]: Extracting #5: cost 0 inf + 490 49.000 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.000 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.000 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 49.000 * [simplify]: Simplifying (/ (sqrt 1) 1) 49.001 * * [simplify]: iters left: 3 (3 enodes) 49.004 * * [simplify]: iters left: 2 (9 enodes) 49.007 * * [simplify]: iters left: 1 (11 enodes) 49.010 * * [simplify]: Extracting #0: cost 1 inf + 0 49.010 * * [simplify]: Extracting #1: cost 0 inf + 1 49.010 * [simplify]: Simplified to 1 49.010 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.010 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 49.011 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.011 * * [simplify]: iters left: 6 (6 enodes) 49.014 * * [simplify]: iters left: 5 (22 enodes) 49.021 * * [simplify]: iters left: 4 (26 enodes) 49.029 * * [simplify]: Extracting #0: cost 1 inf + 0 49.029 * * [simplify]: Extracting #1: cost 6 inf + 0 49.029 * * [simplify]: Extracting #2: cost 9 inf + 1 49.029 * * [simplify]: Extracting #3: cost 11 inf + 1 49.029 * * [simplify]: Extracting #4: cost 8 inf + 84 49.029 * * [simplify]: Extracting #5: cost 2 inf + 1013 49.029 * * [simplify]: Extracting #6: cost 0 inf + 1376 49.030 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.030 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.030 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 49.030 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 49.030 * * [simplify]: iters left: 6 (6 enodes) 49.032 * * [simplify]: iters left: 5 (21 enodes) 49.035 * * [simplify]: iters left: 4 (23 enodes) 49.039 * * [simplify]: Extracting #0: cost 1 inf + 0 49.039 * * [simplify]: Extracting #1: cost 4 inf + 0 49.039 * * [simplify]: Extracting #2: cost 6 inf + 1 49.039 * * [simplify]: Extracting #3: cost 9 inf + 1 49.039 * * [simplify]: Extracting #4: cost 8 inf + 2 49.039 * * [simplify]: Extracting #5: cost 1 inf + 810 49.039 * * [simplify]: Extracting #6: cost 0 inf + 972 49.039 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 49.039 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.039 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 49.039 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 49.039 * * [simplify]: iters left: 4 (5 enodes) 49.041 * * [simplify]: iters left: 3 (17 enodes) 49.044 * * [simplify]: iters left: 2 (19 enodes) 49.047 * * [simplify]: Extracting #0: cost 1 inf + 0 49.047 * * [simplify]: Extracting #1: cost 4 inf + 0 49.047 * * [simplify]: Extracting #2: cost 5 inf + 1 49.047 * * [simplify]: Extracting #3: cost 7 inf + 1 49.047 * * [simplify]: Extracting #4: cost 0 inf + 490 49.047 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.047 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.047 * * * * [progress]: [ 168 / 188 ] simplifiying candidate # 49.047 * [simplify]: Simplifying (/ 1 (sqrt 1)) 49.047 * * [simplify]: iters left: 3 (3 enodes) 49.051 * * [simplify]: iters left: 2 (11 enodes) 49.053 * * [simplify]: iters left: 1 (13 enodes) 49.055 * * [simplify]: Extracting #0: cost 1 inf + 0 49.055 * * [simplify]: Extracting #1: cost 0 inf + 1 49.055 * [simplify]: Simplified to 1 49.055 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.055 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 49.055 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 49.055 * * [simplify]: iters left: 4 (5 enodes) 49.057 * * [simplify]: iters left: 3 (17 enodes) 49.062 * * [simplify]: iters left: 2 (19 enodes) 49.068 * * [simplify]: Extracting #0: cost 1 inf + 0 49.068 * * [simplify]: Extracting #1: cost 4 inf + 0 49.068 * * [simplify]: Extracting #2: cost 5 inf + 1 49.068 * * [simplify]: Extracting #3: cost 7 inf + 1 49.068 * * [simplify]: Extracting #4: cost 0 inf + 490 49.068 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.069 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.069 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 49.069 * [simplify]: Simplifying (/ 1 1) 49.069 * * [simplify]: iters left: 2 (2 enodes) 49.070 * * [simplify]: iters left: 1 (6 enodes) 49.072 * * [simplify]: Extracting #0: cost 1 inf + 0 49.073 * * [simplify]: Extracting #1: cost 0 inf + 1 49.073 * [simplify]: Simplified to 1 49.073 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.073 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 49.073 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 49.073 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 49.073 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 49.073 * * [simplify]: iters left: 5 (8 enodes) 49.077 * * [simplify]: iters left: 4 (31 enodes) 49.088 * * [simplify]: iters left: 3 (51 enodes) 49.105 * * [simplify]: iters left: 2 (85 enodes) 49.137 * * [simplify]: iters left: 1 (152 enodes) 49.188 * * [simplify]: Extracting #0: cost 1 inf + 0 49.188 * * [simplify]: Extracting #1: cost 13 inf + 0 49.188 * * [simplify]: Extracting #2: cost 60 inf + 1 49.188 * * [simplify]: Extracting #3: cost 76 inf + 51 49.189 * * [simplify]: Extracting #4: cost 44 inf + 2846 49.190 * * [simplify]: Extracting #5: cost 21 inf + 7590 49.193 * * [simplify]: Extracting #6: cost 1 inf + 20687 49.196 * * [simplify]: Extracting #7: cost 0 inf + 20539 49.199 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 49.199 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 49.199 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 49.199 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 49.199 * * [simplify]: iters left: 6 (11 enodes) 49.203 * * [simplify]: iters left: 5 (47 enodes) 49.213 * * [simplify]: iters left: 4 (82 enodes) 49.233 * * [simplify]: iters left: 3 (126 enodes) 49.263 * * [simplify]: iters left: 2 (214 enodes) 49.309 * * [simplify]: iters left: 1 (360 enodes) 49.461 * * [simplify]: Extracting #0: cost 1 inf + 0 49.462 * * [simplify]: Extracting #1: cost 19 inf + 0 49.462 * * [simplify]: Extracting #2: cost 84 inf + 2 49.463 * * [simplify]: Extracting #3: cost 140 inf + 50 49.464 * * [simplify]: Extracting #4: cost 152 inf + 350 49.466 * * [simplify]: Extracting #5: cost 121 inf + 2516 49.471 * * [simplify]: Extracting #6: cost 59 inf + 11721 49.482 * * [simplify]: Extracting #7: cost 15 inf + 36647 49.498 * * [simplify]: Extracting #8: cost 0 inf + 48718 49.515 * * [simplify]: Extracting #9: cost 0 inf + 48296 49.532 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 49.532 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 49.532 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 49.533 * * * * [progress]: [ 176 / 188 ] simplifiying candidate # 49.533 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 49.533 * [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))))) 49.534 * * [simplify]: iters left: 6 (37 enodes) 49.555 * * [simplify]: iters left: 5 (187 enodes) 49.627 * * [simplify]: iters left: 4 (488 enodes) 49.855 * * [simplify]: Extracting #0: cost 1 inf + 0 49.855 * * [simplify]: Extracting #1: cost 57 inf + 0 49.857 * * [simplify]: Extracting #2: cost 294 inf + 0 49.860 * * [simplify]: Extracting #3: cost 524 inf + 199 49.866 * * [simplify]: Extracting #4: cost 512 inf + 6095 49.895 * * [simplify]: Extracting #5: cost 310 inf + 78036 49.954 * * [simplify]: Extracting #6: cost 40 inf + 220622 50.030 * * [simplify]: Extracting #7: cost 0 inf + 244981 50.086 * * [simplify]: Extracting #8: cost 0 inf + 243455 50.189 * * [simplify]: Extracting #9: cost 0 inf + 243454 50.262 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 50.262 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 50.263 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 50.263 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 50.263 * * [simplify]: iters left: 6 (15 enodes) 50.273 * * [simplify]: iters left: 5 (65 enodes) 50.289 * * [simplify]: iters left: 4 (123 enodes) 50.319 * * [simplify]: iters left: 3 (361 enodes) 50.448 * * [simplify]: Extracting #0: cost 1 inf + 0 50.449 * * [simplify]: Extracting #1: cost 37 inf + 0 50.449 * * [simplify]: Extracting #2: cost 213 inf + 72 50.450 * * [simplify]: Extracting #3: cost 350 inf + 1716 50.455 * * [simplify]: Extracting #4: cost 221 inf + 30028 50.467 * * [simplify]: Extracting #5: cost 33 inf + 78046 50.483 * * [simplify]: Extracting #6: cost 1 inf + 88785 50.504 * * [simplify]: Extracting #7: cost 0 inf + 88926 50.536 * * [simplify]: Extracting #8: cost 0 inf + 88841 50.568 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 50.568 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 50.569 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 50.569 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 50.569 * * [simplify]: iters left: 6 (16 enodes) 50.580 * * [simplify]: iters left: 5 (67 enodes) 50.593 * * [simplify]: iters left: 4 (134 enodes) 50.634 * * [simplify]: iters left: 3 (407 enodes) 50.843 * * [simplify]: Extracting #0: cost 1 inf + 0 50.843 * * [simplify]: Extracting #1: cost 39 inf + 0 50.844 * * [simplify]: Extracting #2: cost 241 inf + 72 50.847 * * [simplify]: Extracting #3: cost 449 inf + 888 50.861 * * [simplify]: Extracting #4: cost 283 inf + 39678 50.879 * * [simplify]: Extracting #5: cost 24 inf + 116942 50.917 * * [simplify]: Extracting #6: cost 0 inf + 121984 50.961 * * [simplify]: Extracting #7: cost 0 inf + 121983 50.984 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 50.984 * [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))))))))) 50.984 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 50.984 * [simplify]: Simplifying (* 2 (* n PI)) 50.984 * * [simplify]: iters left: 4 (5 enodes) 50.986 * * [simplify]: iters left: 3 (19 enodes) 50.991 * * [simplify]: iters left: 2 (27 enodes) 50.999 * * [simplify]: iters left: 1 (32 enodes) 51.007 * * [simplify]: Extracting #0: cost 1 inf + 0 51.007 * * [simplify]: Extracting #1: cost 8 inf + 0 51.007 * * [simplify]: Extracting #2: cost 7 inf + 45 51.007 * * [simplify]: Extracting #3: cost 0 inf + 421 51.008 * [simplify]: Simplified to (* (* PI n) 2) 51.008 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 51.008 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 51.008 * [simplify]: Simplifying (* 2 (* n PI)) 51.008 * * [simplify]: iters left: 4 (5 enodes) 51.011 * * [simplify]: iters left: 3 (19 enodes) 51.017 * * [simplify]: iters left: 2 (27 enodes) 51.025 * * [simplify]: iters left: 1 (32 enodes) 51.033 * * [simplify]: Extracting #0: cost 1 inf + 0 51.033 * * [simplify]: Extracting #1: cost 8 inf + 0 51.033 * * [simplify]: Extracting #2: cost 7 inf + 45 51.033 * * [simplify]: Extracting #3: cost 0 inf + 421 51.034 * [simplify]: Simplified to (* (* PI n) 2) 51.034 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 51.034 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 51.034 * [simplify]: Simplifying (* 2 (* n PI)) 51.034 * * [simplify]: iters left: 4 (5 enodes) 51.037 * * [simplify]: iters left: 3 (19 enodes) 51.043 * * [simplify]: iters left: 2 (27 enodes) 51.050 * * [simplify]: iters left: 1 (32 enodes) 51.054 * * [simplify]: Extracting #0: cost 1 inf + 0 51.054 * * [simplify]: Extracting #1: cost 8 inf + 0 51.054 * * [simplify]: Extracting #2: cost 7 inf + 45 51.054 * * [simplify]: Extracting #3: cost 0 inf + 421 51.055 * [simplify]: Simplified to (* (* PI n) 2) 51.055 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 51.055 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 51.055 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 51.055 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 51.055 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 51.055 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 51.055 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 51.055 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 51.055 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 51.055 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 51.056 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 51.056 * [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))))))))))))) 51.056 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.056 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 51.056 * [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)))))))) 51.056 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.056 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 51.056 * [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)))))))))))) 51.056 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.057 * * * [progress]: adding candidates to table 53.042 * * [progress]: iteration 3 / 4 53.042 * * * [progress]: picking best candidate 53.097 * * * * [pick]: Picked # 53.097 * * * [progress]: localizing error 53.141 * * * [progress]: generating rewritten candidates 53.141 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 53.163 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 53.176 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 53.201 * * * [progress]: generating series expansions 53.201 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 53.202 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 53.202 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 53.202 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.202 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.202 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.202 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.202 * [taylor]: Taking taylor expansion of 1/2 in k 53.202 * [backup-simplify]: Simplify 1/2 into 1/2 53.202 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.202 * [taylor]: Taking taylor expansion of 1 in k 53.202 * [backup-simplify]: Simplify 1 into 1 53.202 * [taylor]: Taking taylor expansion of k in k 53.202 * [backup-simplify]: Simplify 0 into 0 53.202 * [backup-simplify]: Simplify 1 into 1 53.202 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.202 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.202 * [taylor]: Taking taylor expansion of 2 in k 53.202 * [backup-simplify]: Simplify 2 into 2 53.202 * [taylor]: Taking taylor expansion of (* n PI) in k 53.202 * [taylor]: Taking taylor expansion of n in k 53.202 * [backup-simplify]: Simplify n into n 53.202 * [taylor]: Taking taylor expansion of PI in k 53.202 * [backup-simplify]: Simplify PI into PI 53.202 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.203 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.203 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.203 * [backup-simplify]: Simplify (- 0) into 0 53.203 * [backup-simplify]: Simplify (+ 1 0) into 1 53.204 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.204 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.204 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.204 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 53.204 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 53.204 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 53.204 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 53.204 * [taylor]: Taking taylor expansion of 1/2 in n 53.204 * [backup-simplify]: Simplify 1/2 into 1/2 53.204 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.204 * [taylor]: Taking taylor expansion of 1 in n 53.204 * [backup-simplify]: Simplify 1 into 1 53.204 * [taylor]: Taking taylor expansion of k in n 53.204 * [backup-simplify]: Simplify k into k 53.204 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.204 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.204 * [taylor]: Taking taylor expansion of 2 in n 53.204 * [backup-simplify]: Simplify 2 into 2 53.204 * [taylor]: Taking taylor expansion of (* n PI) in n 53.204 * [taylor]: Taking taylor expansion of n in n 53.204 * [backup-simplify]: Simplify 0 into 0 53.204 * [backup-simplify]: Simplify 1 into 1 53.204 * [taylor]: Taking taylor expansion of PI in n 53.204 * [backup-simplify]: Simplify PI into PI 53.204 * [backup-simplify]: Simplify (* 0 PI) into 0 53.205 * [backup-simplify]: Simplify (* 2 0) into 0 53.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.206 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.207 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.207 * [backup-simplify]: Simplify (- k) into (- k) 53.207 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.207 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 53.208 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.209 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.209 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.209 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 53.209 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 53.209 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 53.209 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 53.209 * [taylor]: Taking taylor expansion of 1/2 in n 53.209 * [backup-simplify]: Simplify 1/2 into 1/2 53.209 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.209 * [taylor]: Taking taylor expansion of 1 in n 53.209 * [backup-simplify]: Simplify 1 into 1 53.209 * [taylor]: Taking taylor expansion of k in n 53.209 * [backup-simplify]: Simplify k into k 53.209 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.209 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.209 * [taylor]: Taking taylor expansion of 2 in n 53.210 * [backup-simplify]: Simplify 2 into 2 53.210 * [taylor]: Taking taylor expansion of (* n PI) in n 53.210 * [taylor]: Taking taylor expansion of n in n 53.210 * [backup-simplify]: Simplify 0 into 0 53.210 * [backup-simplify]: Simplify 1 into 1 53.210 * [taylor]: Taking taylor expansion of PI in n 53.210 * [backup-simplify]: Simplify PI into PI 53.210 * [backup-simplify]: Simplify (* 0 PI) into 0 53.210 * [backup-simplify]: Simplify (* 2 0) into 0 53.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.212 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.212 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.212 * [backup-simplify]: Simplify (- k) into (- k) 53.213 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.213 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 53.213 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.214 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.215 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.215 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 53.215 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 53.215 * [taylor]: Taking taylor expansion of 1/2 in k 53.215 * [backup-simplify]: Simplify 1/2 into 1/2 53.215 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 53.215 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.215 * [taylor]: Taking taylor expansion of 1 in k 53.215 * [backup-simplify]: Simplify 1 into 1 53.215 * [taylor]: Taking taylor expansion of k in k 53.215 * [backup-simplify]: Simplify 0 into 0 53.215 * [backup-simplify]: Simplify 1 into 1 53.215 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 53.215 * [taylor]: Taking taylor expansion of (log n) in k 53.215 * [taylor]: Taking taylor expansion of n in k 53.215 * [backup-simplify]: Simplify n into n 53.215 * [backup-simplify]: Simplify (log n) into (log n) 53.215 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.215 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.215 * [taylor]: Taking taylor expansion of 2 in k 53.215 * [backup-simplify]: Simplify 2 into 2 53.215 * [taylor]: Taking taylor expansion of PI in k 53.215 * [backup-simplify]: Simplify PI into PI 53.215 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.216 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.216 * [backup-simplify]: Simplify (- 0) into 0 53.216 * [backup-simplify]: Simplify (+ 1 0) into 1 53.217 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.218 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 53.218 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 53.219 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 53.220 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 53.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.221 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.222 * [backup-simplify]: Simplify (- 0) into 0 53.222 * [backup-simplify]: Simplify (+ 0 0) into 0 53.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 53.223 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.224 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 53.225 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.225 * [taylor]: Taking taylor expansion of 0 in k 53.225 * [backup-simplify]: Simplify 0 into 0 53.225 * [backup-simplify]: Simplify 0 into 0 53.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 53.226 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.227 * [backup-simplify]: Simplify (+ 0 0) into 0 53.227 * [backup-simplify]: Simplify (- 1) into -1 53.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.229 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 53.230 * [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))))) 53.232 * [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))))))) 53.234 * [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))))))) 53.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 53.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 53.237 * [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 53.237 * [backup-simplify]: Simplify (- 0) into 0 53.237 * [backup-simplify]: Simplify (+ 0 0) into 0 53.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 53.239 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.240 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.241 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.241 * [taylor]: Taking taylor expansion of 0 in k 53.241 * [backup-simplify]: Simplify 0 into 0 53.241 * [backup-simplify]: Simplify 0 into 0 53.241 * [backup-simplify]: Simplify 0 into 0 53.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 53.243 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.244 * [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 53.245 * [backup-simplify]: Simplify (+ 0 0) into 0 53.245 * [backup-simplify]: Simplify (- 0) into 0 53.245 * [backup-simplify]: Simplify (+ 0 0) into 0 53.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.250 * [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))))) 53.253 * [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))))) 53.262 * [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))))) 53.263 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 53.263 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 53.263 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.263 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.263 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.263 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.263 * [taylor]: Taking taylor expansion of 1/2 in k 53.263 * [backup-simplify]: Simplify 1/2 into 1/2 53.263 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.263 * [taylor]: Taking taylor expansion of 1 in k 53.263 * [backup-simplify]: Simplify 1 into 1 53.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.263 * [taylor]: Taking taylor expansion of k in k 53.263 * [backup-simplify]: Simplify 0 into 0 53.263 * [backup-simplify]: Simplify 1 into 1 53.264 * [backup-simplify]: Simplify (/ 1 1) into 1 53.264 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.264 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.264 * [taylor]: Taking taylor expansion of 2 in k 53.264 * [backup-simplify]: Simplify 2 into 2 53.264 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.264 * [taylor]: Taking taylor expansion of PI in k 53.264 * [backup-simplify]: Simplify PI into PI 53.264 * [taylor]: Taking taylor expansion of n in k 53.264 * [backup-simplify]: Simplify n into n 53.264 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.264 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.264 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.264 * [backup-simplify]: Simplify (- 1) into -1 53.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.265 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 53.265 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 53.266 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.266 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 53.266 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.266 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.266 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 53.266 * [taylor]: Taking taylor expansion of 1/2 in n 53.266 * [backup-simplify]: Simplify 1/2 into 1/2 53.266 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.266 * [taylor]: Taking taylor expansion of 1 in n 53.266 * [backup-simplify]: Simplify 1 into 1 53.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.266 * [taylor]: Taking taylor expansion of k in n 53.266 * [backup-simplify]: Simplify k into k 53.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.266 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.266 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.266 * [taylor]: Taking taylor expansion of 2 in n 53.266 * [backup-simplify]: Simplify 2 into 2 53.266 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.266 * [taylor]: Taking taylor expansion of PI in n 53.266 * [backup-simplify]: Simplify PI into PI 53.266 * [taylor]: Taking taylor expansion of n in n 53.266 * [backup-simplify]: Simplify 0 into 0 53.266 * [backup-simplify]: Simplify 1 into 1 53.267 * [backup-simplify]: Simplify (/ PI 1) into PI 53.267 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.268 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.268 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.268 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.269 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 53.270 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.271 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.272 * [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))))) 53.272 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 53.272 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.272 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.272 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 53.272 * [taylor]: Taking taylor expansion of 1/2 in n 53.272 * [backup-simplify]: Simplify 1/2 into 1/2 53.272 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.272 * [taylor]: Taking taylor expansion of 1 in n 53.272 * [backup-simplify]: Simplify 1 into 1 53.273 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.273 * [taylor]: Taking taylor expansion of k in n 53.273 * [backup-simplify]: Simplify k into k 53.273 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.273 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.273 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.273 * [taylor]: Taking taylor expansion of 2 in n 53.273 * [backup-simplify]: Simplify 2 into 2 53.273 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.273 * [taylor]: Taking taylor expansion of PI in n 53.273 * [backup-simplify]: Simplify PI into PI 53.273 * [taylor]: Taking taylor expansion of n in n 53.273 * [backup-simplify]: Simplify 0 into 0 53.273 * [backup-simplify]: Simplify 1 into 1 53.273 * [backup-simplify]: Simplify (/ PI 1) into PI 53.274 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.275 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.275 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.275 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.275 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 53.276 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.277 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.279 * [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))))) 53.279 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 53.279 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 53.279 * [taylor]: Taking taylor expansion of 1/2 in k 53.279 * [backup-simplify]: Simplify 1/2 into 1/2 53.279 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 53.279 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.279 * [taylor]: Taking taylor expansion of 1 in k 53.279 * [backup-simplify]: Simplify 1 into 1 53.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.279 * [taylor]: Taking taylor expansion of k in k 53.279 * [backup-simplify]: Simplify 0 into 0 53.279 * [backup-simplify]: Simplify 1 into 1 53.279 * [backup-simplify]: Simplify (/ 1 1) into 1 53.279 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 53.279 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.279 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.279 * [taylor]: Taking taylor expansion of 2 in k 53.279 * [backup-simplify]: Simplify 2 into 2 53.280 * [taylor]: Taking taylor expansion of PI in k 53.280 * [backup-simplify]: Simplify PI into PI 53.280 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.281 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.281 * [taylor]: Taking taylor expansion of (log n) in k 53.281 * [taylor]: Taking taylor expansion of n in k 53.281 * [backup-simplify]: Simplify n into n 53.281 * [backup-simplify]: Simplify (log n) into (log n) 53.282 * [backup-simplify]: Simplify (- 1) into -1 53.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.282 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.283 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 53.287 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 53.288 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 53.289 * [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))))) 53.290 * [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))))) 53.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.292 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.294 * [backup-simplify]: Simplify (- 0) into 0 53.294 * [backup-simplify]: Simplify (+ 0 0) into 0 53.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 53.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.298 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 53.299 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.299 * [taylor]: Taking taylor expansion of 0 in k 53.300 * [backup-simplify]: Simplify 0 into 0 53.300 * [backup-simplify]: Simplify 0 into 0 53.300 * [backup-simplify]: Simplify 0 into 0 53.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.305 * [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 53.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.306 * [backup-simplify]: Simplify (- 0) into 0 53.306 * [backup-simplify]: Simplify (+ 0 0) into 0 53.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 53.308 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.310 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 53.313 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.313 * [taylor]: Taking taylor expansion of 0 in k 53.313 * [backup-simplify]: Simplify 0 into 0 53.313 * [backup-simplify]: Simplify 0 into 0 53.313 * [backup-simplify]: Simplify 0 into 0 53.313 * [backup-simplify]: Simplify 0 into 0 53.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.321 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 53.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.322 * [backup-simplify]: Simplify (- 0) into 0 53.322 * [backup-simplify]: Simplify (+ 0 0) into 0 53.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 53.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.327 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 53.329 * [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 53.329 * [taylor]: Taking taylor expansion of 0 in k 53.329 * [backup-simplify]: Simplify 0 into 0 53.329 * [backup-simplify]: Simplify 0 into 0 53.330 * [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)))))) 53.331 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 53.331 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 53.331 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 53.331 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.331 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.331 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 53.331 * [taylor]: Taking taylor expansion of 1/2 in k 53.331 * [backup-simplify]: Simplify 1/2 into 1/2 53.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.331 * [taylor]: Taking taylor expansion of k in k 53.331 * [backup-simplify]: Simplify 0 into 0 53.331 * [backup-simplify]: Simplify 1 into 1 53.332 * [backup-simplify]: Simplify (/ 1 1) into 1 53.332 * [taylor]: Taking taylor expansion of 1 in k 53.332 * [backup-simplify]: Simplify 1 into 1 53.332 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.332 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.332 * [taylor]: Taking taylor expansion of -2 in k 53.332 * [backup-simplify]: Simplify -2 into -2 53.332 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.332 * [taylor]: Taking taylor expansion of PI in k 53.332 * [backup-simplify]: Simplify PI into PI 53.332 * [taylor]: Taking taylor expansion of n in k 53.332 * [backup-simplify]: Simplify n into n 53.332 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.332 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.332 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.333 * [backup-simplify]: Simplify (+ 1 0) into 1 53.333 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.333 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 53.334 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.334 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 53.334 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.334 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.334 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 53.334 * [taylor]: Taking taylor expansion of 1/2 in n 53.334 * [backup-simplify]: Simplify 1/2 into 1/2 53.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.334 * [taylor]: Taking taylor expansion of k in n 53.334 * [backup-simplify]: Simplify k into k 53.334 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.334 * [taylor]: Taking taylor expansion of 1 in n 53.334 * [backup-simplify]: Simplify 1 into 1 53.334 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.334 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.334 * [taylor]: Taking taylor expansion of -2 in n 53.334 * [backup-simplify]: Simplify -2 into -2 53.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.334 * [taylor]: Taking taylor expansion of PI in n 53.334 * [backup-simplify]: Simplify PI into PI 53.334 * [taylor]: Taking taylor expansion of n in n 53.334 * [backup-simplify]: Simplify 0 into 0 53.334 * [backup-simplify]: Simplify 1 into 1 53.335 * [backup-simplify]: Simplify (/ PI 1) into PI 53.335 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.336 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.336 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.336 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 53.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.339 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.340 * [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))))) 53.340 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 53.340 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.340 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.340 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 53.340 * [taylor]: Taking taylor expansion of 1/2 in n 53.340 * [backup-simplify]: Simplify 1/2 into 1/2 53.340 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.340 * [taylor]: Taking taylor expansion of k in n 53.340 * [backup-simplify]: Simplify k into k 53.340 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.340 * [taylor]: Taking taylor expansion of 1 in n 53.340 * [backup-simplify]: Simplify 1 into 1 53.340 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.340 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.340 * [taylor]: Taking taylor expansion of -2 in n 53.340 * [backup-simplify]: Simplify -2 into -2 53.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.340 * [taylor]: Taking taylor expansion of PI in n 53.340 * [backup-simplify]: Simplify PI into PI 53.340 * [taylor]: Taking taylor expansion of n in n 53.340 * [backup-simplify]: Simplify 0 into 0 53.340 * [backup-simplify]: Simplify 1 into 1 53.341 * [backup-simplify]: Simplify (/ PI 1) into PI 53.341 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.342 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.342 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.342 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 53.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.345 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.346 * [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))))) 53.346 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 53.346 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 53.346 * [taylor]: Taking taylor expansion of 1/2 in k 53.346 * [backup-simplify]: Simplify 1/2 into 1/2 53.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 53.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.346 * [taylor]: Taking taylor expansion of k in k 53.346 * [backup-simplify]: Simplify 0 into 0 53.346 * [backup-simplify]: Simplify 1 into 1 53.347 * [backup-simplify]: Simplify (/ 1 1) into 1 53.347 * [taylor]: Taking taylor expansion of 1 in k 53.347 * [backup-simplify]: Simplify 1 into 1 53.347 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 53.347 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 53.347 * [taylor]: Taking taylor expansion of (* -2 PI) in k 53.347 * [taylor]: Taking taylor expansion of -2 in k 53.347 * [backup-simplify]: Simplify -2 into -2 53.347 * [taylor]: Taking taylor expansion of PI in k 53.347 * [backup-simplify]: Simplify PI into PI 53.347 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.348 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.348 * [taylor]: Taking taylor expansion of (log n) in k 53.348 * [taylor]: Taking taylor expansion of n in k 53.348 * [backup-simplify]: Simplify n into n 53.348 * [backup-simplify]: Simplify (log n) into (log n) 53.349 * [backup-simplify]: Simplify (+ 1 0) into 1 53.349 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.350 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 53.351 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 53.352 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 53.353 * [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))))) 53.354 * [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))))) 53.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.356 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.358 * [backup-simplify]: Simplify (+ 0 0) into 0 53.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 53.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.361 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 53.363 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.363 * [taylor]: Taking taylor expansion of 0 in k 53.363 * [backup-simplify]: Simplify 0 into 0 53.363 * [backup-simplify]: Simplify 0 into 0 53.363 * [backup-simplify]: Simplify 0 into 0 53.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.365 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.369 * [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 53.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.369 * [backup-simplify]: Simplify (+ 0 0) into 0 53.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 53.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.373 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 53.376 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.376 * [taylor]: Taking taylor expansion of 0 in k 53.376 * [backup-simplify]: Simplify 0 into 0 53.376 * [backup-simplify]: Simplify 0 into 0 53.376 * [backup-simplify]: Simplify 0 into 0 53.376 * [backup-simplify]: Simplify 0 into 0 53.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.378 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.384 * [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 53.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.385 * [backup-simplify]: Simplify (+ 0 0) into 0 53.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 53.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.389 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 53.392 * [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 53.392 * [taylor]: Taking taylor expansion of 0 in k 53.392 * [backup-simplify]: Simplify 0 into 0 53.392 * [backup-simplify]: Simplify 0 into 0 53.393 * [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)))))) 53.393 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 53.394 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 53.394 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 53.394 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.394 * [taylor]: Taking taylor expansion of 2 in n 53.394 * [backup-simplify]: Simplify 2 into 2 53.394 * [taylor]: Taking taylor expansion of (* n PI) in n 53.394 * [taylor]: Taking taylor expansion of n in n 53.394 * [backup-simplify]: Simplify 0 into 0 53.394 * [backup-simplify]: Simplify 1 into 1 53.394 * [taylor]: Taking taylor expansion of PI in n 53.394 * [backup-simplify]: Simplify PI into PI 53.394 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.394 * [taylor]: Taking taylor expansion of 2 in n 53.394 * [backup-simplify]: Simplify 2 into 2 53.394 * [taylor]: Taking taylor expansion of (* n PI) in n 53.394 * [taylor]: Taking taylor expansion of n in n 53.394 * [backup-simplify]: Simplify 0 into 0 53.394 * [backup-simplify]: Simplify 1 into 1 53.394 * [taylor]: Taking taylor expansion of PI in n 53.394 * [backup-simplify]: Simplify PI into PI 53.395 * [backup-simplify]: Simplify (* 0 PI) into 0 53.395 * [backup-simplify]: Simplify (* 2 0) into 0 53.395 * [backup-simplify]: Simplify 0 into 0 53.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.398 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.399 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.401 * [backup-simplify]: Simplify 0 into 0 53.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 53.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 53.403 * [backup-simplify]: Simplify 0 into 0 53.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 53.406 * [backup-simplify]: Simplify 0 into 0 53.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 53.409 * [backup-simplify]: Simplify 0 into 0 53.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.412 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 53.412 * [backup-simplify]: Simplify 0 into 0 53.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 53.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 53.416 * [backup-simplify]: Simplify 0 into 0 53.416 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 53.417 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 53.417 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 53.417 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.417 * [taylor]: Taking taylor expansion of 2 in n 53.417 * [backup-simplify]: Simplify 2 into 2 53.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.417 * [taylor]: Taking taylor expansion of PI in n 53.417 * [backup-simplify]: Simplify PI into PI 53.417 * [taylor]: Taking taylor expansion of n in n 53.417 * [backup-simplify]: Simplify 0 into 0 53.417 * [backup-simplify]: Simplify 1 into 1 53.418 * [backup-simplify]: Simplify (/ PI 1) into PI 53.418 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.418 * [taylor]: Taking taylor expansion of 2 in n 53.418 * [backup-simplify]: Simplify 2 into 2 53.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.418 * [taylor]: Taking taylor expansion of PI in n 53.418 * [backup-simplify]: Simplify PI into PI 53.418 * [taylor]: Taking taylor expansion of n in n 53.418 * [backup-simplify]: Simplify 0 into 0 53.418 * [backup-simplify]: Simplify 1 into 1 53.419 * [backup-simplify]: Simplify (/ PI 1) into PI 53.419 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.420 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.421 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.421 * [backup-simplify]: Simplify 0 into 0 53.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.423 * [backup-simplify]: Simplify 0 into 0 53.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.425 * [backup-simplify]: Simplify 0 into 0 53.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.428 * [backup-simplify]: Simplify 0 into 0 53.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.430 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.430 * [backup-simplify]: Simplify 0 into 0 53.433 * [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 53.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.435 * [backup-simplify]: Simplify 0 into 0 53.436 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 53.437 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 53.437 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 53.437 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.437 * [taylor]: Taking taylor expansion of -2 in n 53.437 * [backup-simplify]: Simplify -2 into -2 53.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.437 * [taylor]: Taking taylor expansion of PI in n 53.437 * [backup-simplify]: Simplify PI into PI 53.437 * [taylor]: Taking taylor expansion of n in n 53.437 * [backup-simplify]: Simplify 0 into 0 53.437 * [backup-simplify]: Simplify 1 into 1 53.437 * [backup-simplify]: Simplify (/ PI 1) into PI 53.437 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.437 * [taylor]: Taking taylor expansion of -2 in n 53.437 * [backup-simplify]: Simplify -2 into -2 53.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.437 * [taylor]: Taking taylor expansion of PI in n 53.437 * [backup-simplify]: Simplify PI into PI 53.437 * [taylor]: Taking taylor expansion of n in n 53.437 * [backup-simplify]: Simplify 0 into 0 53.437 * [backup-simplify]: Simplify 1 into 1 53.438 * [backup-simplify]: Simplify (/ PI 1) into PI 53.438 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.439 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.441 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.441 * [backup-simplify]: Simplify 0 into 0 53.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.442 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.443 * [backup-simplify]: Simplify 0 into 0 53.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.445 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.445 * [backup-simplify]: Simplify 0 into 0 53.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.447 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 53.447 * [backup-simplify]: Simplify 0 into 0 53.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.450 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 53.450 * [backup-simplify]: Simplify 0 into 0 53.451 * [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 53.453 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 53.453 * [backup-simplify]: Simplify 0 into 0 53.453 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 53.453 * * * * [progress]: [ 3 / 3 ] generating series at (2) 53.454 * [backup-simplify]: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 53.454 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 53.454 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 53.454 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 53.454 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 53.454 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 53.454 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 53.454 * [taylor]: Taking taylor expansion of 1/2 in n 53.454 * [backup-simplify]: Simplify 1/2 into 1/2 53.454 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.454 * [taylor]: Taking taylor expansion of 1 in n 53.454 * [backup-simplify]: Simplify 1 into 1 53.454 * [taylor]: Taking taylor expansion of k in n 53.455 * [backup-simplify]: Simplify k into k 53.455 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.455 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.455 * [taylor]: Taking taylor expansion of 2 in n 53.455 * [backup-simplify]: Simplify 2 into 2 53.455 * [taylor]: Taking taylor expansion of (* n PI) in n 53.455 * [taylor]: Taking taylor expansion of n in n 53.455 * [backup-simplify]: Simplify 0 into 0 53.455 * [backup-simplify]: Simplify 1 into 1 53.455 * [taylor]: Taking taylor expansion of PI in n 53.455 * [backup-simplify]: Simplify PI into PI 53.455 * [backup-simplify]: Simplify (* 0 PI) into 0 53.456 * [backup-simplify]: Simplify (* 2 0) into 0 53.457 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.459 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.460 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.460 * [backup-simplify]: Simplify (- k) into (- k) 53.460 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.460 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 53.461 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.462 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.464 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 53.464 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.464 * [taylor]: Taking taylor expansion of k in n 53.464 * [backup-simplify]: Simplify k into k 53.464 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.464 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 53.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 53.464 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 53.464 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.464 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.464 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.464 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.464 * [taylor]: Taking taylor expansion of 1/2 in k 53.464 * [backup-simplify]: Simplify 1/2 into 1/2 53.464 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.464 * [taylor]: Taking taylor expansion of 1 in k 53.464 * [backup-simplify]: Simplify 1 into 1 53.464 * [taylor]: Taking taylor expansion of k in k 53.464 * [backup-simplify]: Simplify 0 into 0 53.464 * [backup-simplify]: Simplify 1 into 1 53.465 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.465 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.465 * [taylor]: Taking taylor expansion of 2 in k 53.465 * [backup-simplify]: Simplify 2 into 2 53.465 * [taylor]: Taking taylor expansion of (* n PI) in k 53.465 * [taylor]: Taking taylor expansion of n in k 53.465 * [backup-simplify]: Simplify n into n 53.465 * [taylor]: Taking taylor expansion of PI in k 53.465 * [backup-simplify]: Simplify PI into PI 53.465 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.465 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.465 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.466 * [backup-simplify]: Simplify (- 0) into 0 53.466 * [backup-simplify]: Simplify (+ 1 0) into 1 53.466 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.467 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.467 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.467 * [taylor]: Taking taylor expansion of k in k 53.467 * [backup-simplify]: Simplify 0 into 0 53.467 * [backup-simplify]: Simplify 1 into 1 53.467 * [backup-simplify]: Simplify (/ 1 1) into 1 53.468 * [backup-simplify]: Simplify (sqrt 0) into 0 53.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.469 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 53.469 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 53.469 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 53.469 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 53.469 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 53.470 * [taylor]: Taking taylor expansion of 1/2 in k 53.470 * [backup-simplify]: Simplify 1/2 into 1/2 53.470 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.470 * [taylor]: Taking taylor expansion of 1 in k 53.470 * [backup-simplify]: Simplify 1 into 1 53.470 * [taylor]: Taking taylor expansion of k in k 53.470 * [backup-simplify]: Simplify 0 into 0 53.470 * [backup-simplify]: Simplify 1 into 1 53.470 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.470 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.470 * [taylor]: Taking taylor expansion of 2 in k 53.470 * [backup-simplify]: Simplify 2 into 2 53.470 * [taylor]: Taking taylor expansion of (* n PI) in k 53.470 * [taylor]: Taking taylor expansion of n in k 53.470 * [backup-simplify]: Simplify n into n 53.470 * [taylor]: Taking taylor expansion of PI in k 53.470 * [backup-simplify]: Simplify PI into PI 53.470 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.470 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.470 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.471 * [backup-simplify]: Simplify (- 0) into 0 53.471 * [backup-simplify]: Simplify (+ 1 0) into 1 53.471 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.472 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 53.472 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 53.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 53.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.472 * [taylor]: Taking taylor expansion of k in k 53.472 * [backup-simplify]: Simplify 0 into 0 53.472 * [backup-simplify]: Simplify 1 into 1 53.472 * [backup-simplify]: Simplify (/ 1 1) into 1 53.473 * [backup-simplify]: Simplify (sqrt 0) into 0 53.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.474 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 53.474 * [taylor]: Taking taylor expansion of 0 in n 53.474 * [backup-simplify]: Simplify 0 into 0 53.474 * [backup-simplify]: Simplify 0 into 0 53.475 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 53.475 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 53.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 53.477 * [backup-simplify]: Simplify (- 1) into -1 53.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.478 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 53.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 53.479 * [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))))) 53.479 * [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))))) 53.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 53.479 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.479 * [taylor]: Taking taylor expansion of +nan.0 in n 53.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.479 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.479 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.479 * [taylor]: Taking taylor expansion of 2 in n 53.479 * [backup-simplify]: Simplify 2 into 2 53.480 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.480 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.480 * [taylor]: Taking taylor expansion of (* n PI) in n 53.480 * [taylor]: Taking taylor expansion of n in n 53.480 * [backup-simplify]: Simplify 0 into 0 53.481 * [backup-simplify]: Simplify 1 into 1 53.481 * [taylor]: Taking taylor expansion of PI in n 53.481 * [backup-simplify]: Simplify PI into PI 53.481 * [backup-simplify]: Simplify (* 0 PI) into 0 53.482 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.483 * [backup-simplify]: Simplify (sqrt 0) into 0 53.484 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.485 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.485 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.486 * [backup-simplify]: Simplify (- 0) into 0 53.486 * [backup-simplify]: Simplify 0 into 0 53.486 * [backup-simplify]: Simplify 0 into 0 53.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 53.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.490 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 53.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 53.493 * [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 53.493 * [backup-simplify]: Simplify (- 0) into 0 53.493 * [backup-simplify]: Simplify (+ 0 0) into 0 53.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 53.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 53.497 * [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))) 53.497 * [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))))))) 53.497 * [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 53.497 * [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 53.497 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 53.498 * [taylor]: Taking taylor expansion of +nan.0 in n 53.498 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.498 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 53.498 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 53.498 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.498 * [taylor]: Taking taylor expansion of 2 in n 53.498 * [backup-simplify]: Simplify 2 into 2 53.498 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.499 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.499 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.499 * [taylor]: Taking taylor expansion of 2 in n 53.499 * [backup-simplify]: Simplify 2 into 2 53.499 * [taylor]: Taking taylor expansion of (* n PI) in n 53.499 * [taylor]: Taking taylor expansion of n in n 53.499 * [backup-simplify]: Simplify 0 into 0 53.499 * [backup-simplify]: Simplify 1 into 1 53.499 * [taylor]: Taking taylor expansion of PI in n 53.499 * [backup-simplify]: Simplify PI into PI 53.499 * [backup-simplify]: Simplify (* 0 PI) into 0 53.500 * [backup-simplify]: Simplify (* 2 0) into 0 53.501 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.503 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.504 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.504 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.504 * [taylor]: Taking taylor expansion of (* n PI) in n 53.504 * [taylor]: Taking taylor expansion of n in n 53.504 * [backup-simplify]: Simplify 0 into 0 53.504 * [backup-simplify]: Simplify 1 into 1 53.504 * [taylor]: Taking taylor expansion of PI in n 53.504 * [backup-simplify]: Simplify PI into PI 53.504 * [backup-simplify]: Simplify (* 0 PI) into 0 53.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.506 * [backup-simplify]: Simplify (sqrt 0) into 0 53.507 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 53.507 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.508 * [taylor]: Taking taylor expansion of +nan.0 in n 53.508 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.508 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.508 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.508 * [taylor]: Taking taylor expansion of 2 in n 53.508 * [backup-simplify]: Simplify 2 into 2 53.508 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.509 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.509 * [taylor]: Taking taylor expansion of (* n PI) in n 53.509 * [taylor]: Taking taylor expansion of n in n 53.509 * [backup-simplify]: Simplify 0 into 0 53.509 * [backup-simplify]: Simplify 1 into 1 53.509 * [taylor]: Taking taylor expansion of PI in n 53.509 * [backup-simplify]: Simplify PI into PI 53.509 * [backup-simplify]: Simplify (* 0 PI) into 0 53.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.511 * [backup-simplify]: Simplify (sqrt 0) into 0 53.512 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.514 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.515 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 53.516 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 53.517 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.517 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.518 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.518 * [backup-simplify]: Simplify (- 0) into 0 53.519 * [backup-simplify]: Simplify (+ 0 0) into 0 53.519 * [backup-simplify]: Simplify (- 0) into 0 53.519 * [backup-simplify]: Simplify 0 into 0 53.522 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.527 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.531 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.533 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.533 * [backup-simplify]: Simplify 0 into 0 53.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.539 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 53.543 * [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 53.543 * [backup-simplify]: Simplify (- 0) into 0 53.544 * [backup-simplify]: Simplify (+ 0 0) into 0 53.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 53.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 53.548 * [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))) 53.550 * [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))))))))) 53.550 * [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 53.550 * [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 53.550 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 53.550 * [taylor]: Taking taylor expansion of +nan.0 in n 53.550 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.550 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 53.550 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 53.550 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.550 * [taylor]: Taking taylor expansion of 2 in n 53.550 * [backup-simplify]: Simplify 2 into 2 53.551 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.551 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.551 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.551 * [taylor]: Taking taylor expansion of 2 in n 53.551 * [backup-simplify]: Simplify 2 into 2 53.551 * [taylor]: Taking taylor expansion of (* n PI) in n 53.551 * [taylor]: Taking taylor expansion of n in n 53.551 * [backup-simplify]: Simplify 0 into 0 53.552 * [backup-simplify]: Simplify 1 into 1 53.552 * [taylor]: Taking taylor expansion of PI in n 53.552 * [backup-simplify]: Simplify PI into PI 53.552 * [backup-simplify]: Simplify (* 0 PI) into 0 53.552 * [backup-simplify]: Simplify (* 2 0) into 0 53.554 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.556 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.557 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.557 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.557 * [taylor]: Taking taylor expansion of (* n PI) in n 53.557 * [taylor]: Taking taylor expansion of n in n 53.557 * [backup-simplify]: Simplify 0 into 0 53.557 * [backup-simplify]: Simplify 1 into 1 53.557 * [taylor]: Taking taylor expansion of PI in n 53.557 * [backup-simplify]: Simplify PI into PI 53.557 * [backup-simplify]: Simplify (* 0 PI) into 0 53.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.559 * [backup-simplify]: Simplify (sqrt 0) into 0 53.560 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.560 * [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 53.560 * [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 53.560 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 53.560 * [taylor]: Taking taylor expansion of +nan.0 in n 53.560 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.560 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 53.560 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.560 * [taylor]: Taking taylor expansion of 2 in n 53.561 * [backup-simplify]: Simplify 2 into 2 53.561 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.562 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.562 * [taylor]: Taking taylor expansion of (* n PI) in n 53.562 * [taylor]: Taking taylor expansion of n in n 53.562 * [backup-simplify]: Simplify 0 into 0 53.562 * [backup-simplify]: Simplify 1 into 1 53.562 * [taylor]: Taking taylor expansion of PI in n 53.562 * [backup-simplify]: Simplify PI into PI 53.562 * [backup-simplify]: Simplify (* 0 PI) into 0 53.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.564 * [backup-simplify]: Simplify (sqrt 0) into 0 53.565 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.565 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 53.565 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 53.565 * [taylor]: Taking taylor expansion of +nan.0 in n 53.565 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.565 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 53.565 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 53.565 * [taylor]: Taking taylor expansion of (sqrt 2) in n 53.565 * [taylor]: Taking taylor expansion of 2 in n 53.565 * [backup-simplify]: Simplify 2 into 2 53.565 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 53.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 53.566 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 53.566 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.566 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.566 * [taylor]: Taking taylor expansion of 2 in n 53.566 * [backup-simplify]: Simplify 2 into 2 53.566 * [taylor]: Taking taylor expansion of (* n PI) in n 53.566 * [taylor]: Taking taylor expansion of n in n 53.566 * [backup-simplify]: Simplify 0 into 0 53.566 * [backup-simplify]: Simplify 1 into 1 53.566 * [taylor]: Taking taylor expansion of PI in n 53.566 * [backup-simplify]: Simplify PI into PI 53.566 * [backup-simplify]: Simplify (* 0 PI) into 0 53.566 * [backup-simplify]: Simplify (* 2 0) into 0 53.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.568 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.569 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.570 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.570 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 53.570 * [taylor]: Taking taylor expansion of (* n PI) in n 53.570 * [taylor]: Taking taylor expansion of n in n 53.570 * [backup-simplify]: Simplify 0 into 0 53.570 * [backup-simplify]: Simplify 1 into 1 53.570 * [taylor]: Taking taylor expansion of PI in n 53.570 * [backup-simplify]: Simplify PI into PI 53.570 * [backup-simplify]: Simplify (* 0 PI) into 0 53.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.573 * [backup-simplify]: Simplify (sqrt 0) into 0 53.574 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 53.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.576 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 53.577 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 53.577 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.577 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 53.577 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.578 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.580 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 53.581 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 53.582 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 53.582 * [backup-simplify]: Simplify (* +nan.0 0) into 0 53.583 * [backup-simplify]: Simplify (- 0) into 0 53.583 * [backup-simplify]: Simplify (+ 0 0) into 0 53.583 * [backup-simplify]: Simplify (- 0) into 0 53.583 * [backup-simplify]: Simplify (+ 0 0) into 0 53.584 * [backup-simplify]: Simplify (- 0) into 0 53.584 * [backup-simplify]: Simplify 0 into 0 53.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.587 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.587 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 53.589 * [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)))))))) 53.593 * [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)))))))) 53.596 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.601 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 53.604 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 53.612 * [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)))))))))) 53.620 * [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))))))) 53.627 * [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))))))) 53.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.631 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 53.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 53.635 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.639 * [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)))) 53.642 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.644 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 53.651 * [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))))))))))))) 53.652 * [backup-simplify]: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 53.652 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 53.652 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 53.652 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 53.652 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.652 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.652 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 53.652 * [taylor]: Taking taylor expansion of 1/2 in n 53.652 * [backup-simplify]: Simplify 1/2 into 1/2 53.652 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.652 * [taylor]: Taking taylor expansion of 1 in n 53.652 * [backup-simplify]: Simplify 1 into 1 53.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.652 * [taylor]: Taking taylor expansion of k in n 53.652 * [backup-simplify]: Simplify k into k 53.652 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.652 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.652 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.652 * [taylor]: Taking taylor expansion of 2 in n 53.652 * [backup-simplify]: Simplify 2 into 2 53.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.652 * [taylor]: Taking taylor expansion of PI in n 53.652 * [backup-simplify]: Simplify PI into PI 53.652 * [taylor]: Taking taylor expansion of n in n 53.652 * [backup-simplify]: Simplify 0 into 0 53.652 * [backup-simplify]: Simplify 1 into 1 53.653 * [backup-simplify]: Simplify (/ PI 1) into PI 53.653 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.653 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.654 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.654 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.654 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 53.654 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.655 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.656 * [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))))) 53.656 * [taylor]: Taking taylor expansion of (sqrt k) in n 53.656 * [taylor]: Taking taylor expansion of k in n 53.656 * [backup-simplify]: Simplify k into k 53.656 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 53.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 53.656 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 53.656 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.656 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.656 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.656 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.656 * [taylor]: Taking taylor expansion of 1/2 in k 53.656 * [backup-simplify]: Simplify 1/2 into 1/2 53.656 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 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 (/ 1 k) in k 53.656 * [taylor]: Taking taylor expansion of k in k 53.656 * [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 (log (* 2 (/ PI n))) in k 53.657 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.657 * [taylor]: Taking taylor expansion of 2 in k 53.657 * [backup-simplify]: Simplify 2 into 2 53.657 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.657 * [taylor]: Taking taylor expansion of PI in k 53.657 * [backup-simplify]: Simplify PI into PI 53.657 * [taylor]: Taking taylor expansion of n in k 53.657 * [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) into -1 53.657 * [backup-simplify]: Simplify (+ 0 -1) 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 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.658 * [taylor]: Taking taylor expansion of (sqrt k) in k 53.658 * [taylor]: Taking taylor expansion of k in k 53.658 * [backup-simplify]: Simplify 0 into 0 53.658 * [backup-simplify]: Simplify 1 into 1 53.658 * [backup-simplify]: Simplify (sqrt 0) into 0 53.659 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.659 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 53.659 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 53.659 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.659 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.659 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 53.659 * [taylor]: Taking taylor expansion of 1/2 in k 53.659 * [backup-simplify]: Simplify 1/2 into 1/2 53.659 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.659 * [taylor]: Taking taylor expansion of 1 in k 53.659 * [backup-simplify]: Simplify 1 into 1 53.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.659 * [taylor]: Taking taylor expansion of k in k 53.659 * [backup-simplify]: Simplify 0 into 0 53.659 * [backup-simplify]: Simplify 1 into 1 53.659 * [backup-simplify]: Simplify (/ 1 1) into 1 53.659 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.659 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.659 * [taylor]: Taking taylor expansion of 2 in k 53.659 * [backup-simplify]: Simplify 2 into 2 53.659 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.659 * [taylor]: Taking taylor expansion of PI in k 53.659 * [backup-simplify]: Simplify PI into PI 53.659 * [taylor]: Taking taylor expansion of n in k 53.660 * [backup-simplify]: Simplify n into n 53.660 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.660 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.660 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.660 * [backup-simplify]: Simplify (- 1) into -1 53.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.661 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 53.661 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 53.661 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.661 * [taylor]: Taking taylor expansion of (sqrt k) in k 53.661 * [taylor]: Taking taylor expansion of k in k 53.661 * [backup-simplify]: Simplify 0 into 0 53.661 * [backup-simplify]: Simplify 1 into 1 53.661 * [backup-simplify]: Simplify (sqrt 0) into 0 53.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 53.663 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 53.663 * [taylor]: Taking taylor expansion of 0 in n 53.663 * [backup-simplify]: Simplify 0 into 0 53.663 * [backup-simplify]: Simplify 0 into 0 53.664 * [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)))))))) 53.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 53.664 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 53.664 * [taylor]: Taking taylor expansion of +nan.0 in n 53.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.664 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 53.664 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) 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 (/ 1 k)) (log (* 2 (/ PI n)))) in n 53.664 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 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 (/ 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 (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 53.665 * [backup-simplify]: Simplify (/ PI 1) into PI 53.665 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.666 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.667 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.667 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.668 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.669 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 53.670 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.674 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.675 * [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)))))) 53.676 * [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))))))) 53.678 * [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))))))) 53.678 * [backup-simplify]: Simplify 0 into 0 53.681 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.682 * [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)))))))) 53.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 53.682 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 53.682 * [taylor]: Taking taylor expansion of +nan.0 in n 53.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.682 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 53.682 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 53.682 * [taylor]: Taking taylor expansion of 1/2 in n 53.682 * [backup-simplify]: Simplify 1/2 into 1/2 53.682 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 53.682 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.682 * [taylor]: Taking taylor expansion of 1 in n 53.682 * [backup-simplify]: Simplify 1 into 1 53.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.682 * [taylor]: Taking taylor expansion of k in n 53.682 * [backup-simplify]: Simplify k into k 53.682 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.682 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.683 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.683 * [taylor]: Taking taylor expansion of 2 in n 53.683 * [backup-simplify]: Simplify 2 into 2 53.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.683 * [taylor]: Taking taylor expansion of PI in n 53.683 * [backup-simplify]: Simplify PI into PI 53.683 * [taylor]: Taking taylor expansion of n in n 53.683 * [backup-simplify]: Simplify 0 into 0 53.683 * [backup-simplify]: Simplify 1 into 1 53.683 * [backup-simplify]: Simplify (/ PI 1) into PI 53.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.685 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.685 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.685 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.687 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 53.688 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.689 * [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))))) 53.691 * [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)))))) 53.692 * [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))))))) 53.693 * [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))))))) 53.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.697 * [backup-simplify]: Simplify (- 0) into 0 53.697 * [backup-simplify]: Simplify (+ 0 0) into 0 53.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.700 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 53.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 53.703 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.705 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 53.706 * [backup-simplify]: Simplify (- 0) into 0 53.706 * [backup-simplify]: Simplify 0 into 0 53.706 * [backup-simplify]: Simplify 0 into 0 53.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.711 * [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)))))))) 53.711 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 53.711 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 53.711 * [taylor]: Taking taylor expansion of +nan.0 in n 53.711 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.711 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 53.711 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 53.711 * [taylor]: Taking taylor expansion of 1/2 in n 53.711 * [backup-simplify]: Simplify 1/2 into 1/2 53.712 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 53.712 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.712 * [taylor]: Taking taylor expansion of 1 in n 53.712 * [backup-simplify]: Simplify 1 into 1 53.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.712 * [taylor]: Taking taylor expansion of k in n 53.712 * [backup-simplify]: Simplify k into k 53.712 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.712 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.712 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.712 * [taylor]: Taking taylor expansion of 2 in n 53.712 * [backup-simplify]: Simplify 2 into 2 53.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.712 * [taylor]: Taking taylor expansion of PI in n 53.712 * [backup-simplify]: Simplify PI into PI 53.712 * [taylor]: Taking taylor expansion of n in n 53.712 * [backup-simplify]: Simplify 0 into 0 53.712 * [backup-simplify]: Simplify 1 into 1 53.713 * [backup-simplify]: Simplify (/ PI 1) into PI 53.713 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.714 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.714 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.714 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.717 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 53.718 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.719 * [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))))) 53.720 * [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)))))) 53.722 * [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))))))) 53.723 * [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))))))) 53.727 * [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)))))))) 53.728 * [backup-simplify]: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 53.728 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 53.728 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 53.728 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 53.728 * [taylor]: Taking taylor expansion of (/ k -1) in n 53.728 * [taylor]: Taking taylor expansion of k in n 53.728 * [backup-simplify]: Simplify k into k 53.728 * [taylor]: Taking taylor expansion of -1 in n 53.728 * [backup-simplify]: Simplify -1 into -1 53.728 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 53.728 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 53.729 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 53.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 53.729 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 53.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.730 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.730 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 53.730 * [taylor]: Taking taylor expansion of 1/2 in n 53.730 * [backup-simplify]: Simplify 1/2 into 1/2 53.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.730 * [taylor]: Taking taylor expansion of k in n 53.730 * [backup-simplify]: Simplify k into k 53.730 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.730 * [taylor]: Taking taylor expansion of 1 in n 53.730 * [backup-simplify]: Simplify 1 into 1 53.730 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.730 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.730 * [taylor]: Taking taylor expansion of -2 in n 53.730 * [backup-simplify]: Simplify -2 into -2 53.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.730 * [taylor]: Taking taylor expansion of PI in n 53.730 * [backup-simplify]: Simplify PI into PI 53.730 * [taylor]: Taking taylor expansion of n in n 53.730 * [backup-simplify]: Simplify 0 into 0 53.730 * [backup-simplify]: Simplify 1 into 1 53.730 * [backup-simplify]: Simplify (/ PI 1) into PI 53.731 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.732 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.732 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.732 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 53.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.734 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.735 * [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))))) 53.735 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 53.735 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 53.735 * [taylor]: Taking taylor expansion of (/ k -1) in k 53.735 * [taylor]: Taking taylor expansion of k in k 53.735 * [backup-simplify]: Simplify 0 into 0 53.735 * [backup-simplify]: Simplify 1 into 1 53.735 * [taylor]: Taking taylor expansion of -1 in k 53.735 * [backup-simplify]: Simplify -1 into -1 53.736 * [backup-simplify]: Simplify (/ 1 -1) into -1 53.736 * [backup-simplify]: Simplify (sqrt 0) into 0 53.737 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 53.737 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 53.737 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.737 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.738 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 53.738 * [taylor]: Taking taylor expansion of 1/2 in k 53.738 * [backup-simplify]: Simplify 1/2 into 1/2 53.738 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.738 * [taylor]: Taking taylor expansion of k in k 53.738 * [backup-simplify]: Simplify 0 into 0 53.738 * [backup-simplify]: Simplify 1 into 1 53.738 * [backup-simplify]: Simplify (/ 1 1) into 1 53.738 * [taylor]: Taking taylor expansion of 1 in k 53.738 * [backup-simplify]: Simplify 1 into 1 53.738 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.738 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.738 * [taylor]: Taking taylor expansion of -2 in k 53.738 * [backup-simplify]: Simplify -2 into -2 53.738 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.738 * [taylor]: Taking taylor expansion of PI in k 53.738 * [backup-simplify]: Simplify PI into PI 53.738 * [taylor]: Taking taylor expansion of n in k 53.738 * [backup-simplify]: Simplify n into n 53.738 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.738 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.738 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.739 * [backup-simplify]: Simplify (+ 1 0) into 1 53.739 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.740 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 53.740 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.740 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 53.740 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 53.740 * [taylor]: Taking taylor expansion of (/ k -1) in k 53.740 * [taylor]: Taking taylor expansion of k in k 53.740 * [backup-simplify]: Simplify 0 into 0 53.740 * [backup-simplify]: Simplify 1 into 1 53.740 * [taylor]: Taking taylor expansion of -1 in k 53.740 * [backup-simplify]: Simplify -1 into -1 53.740 * [backup-simplify]: Simplify (/ 1 -1) into -1 53.741 * [backup-simplify]: Simplify (sqrt 0) into 0 53.742 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 53.742 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 53.742 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.742 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.742 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 53.742 * [taylor]: Taking taylor expansion of 1/2 in k 53.742 * [backup-simplify]: Simplify 1/2 into 1/2 53.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.742 * [taylor]: Taking taylor expansion of k in k 53.742 * [backup-simplify]: Simplify 0 into 0 53.742 * [backup-simplify]: Simplify 1 into 1 53.743 * [backup-simplify]: Simplify (/ 1 1) into 1 53.743 * [taylor]: Taking taylor expansion of 1 in k 53.743 * [backup-simplify]: Simplify 1 into 1 53.743 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.743 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.743 * [taylor]: Taking taylor expansion of -2 in k 53.743 * [backup-simplify]: Simplify -2 into -2 53.743 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.743 * [taylor]: Taking taylor expansion of PI in k 53.743 * [backup-simplify]: Simplify PI into PI 53.743 * [taylor]: Taking taylor expansion of n in k 53.743 * [backup-simplify]: Simplify n into n 53.743 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.743 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.743 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.744 * [backup-simplify]: Simplify (+ 1 0) into 1 53.744 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 53.744 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 53.744 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.745 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0 53.745 * [taylor]: Taking taylor expansion of 0 in n 53.745 * [backup-simplify]: Simplify 0 into 0 53.745 * [backup-simplify]: Simplify 0 into 0 53.745 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 53.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 53.745 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 53.745 * [taylor]: Taking taylor expansion of +nan.0 in n 53.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.746 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.746 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.746 * [taylor]: Taking taylor expansion of 1/2 in n 53.746 * [backup-simplify]: Simplify 1/2 into 1/2 53.746 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.746 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.746 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.746 * [taylor]: Taking taylor expansion of -2 in n 53.746 * [backup-simplify]: Simplify -2 into -2 53.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.746 * [taylor]: Taking taylor expansion of PI in n 53.746 * [backup-simplify]: Simplify PI into PI 53.746 * [taylor]: Taking taylor expansion of n in n 53.746 * [backup-simplify]: Simplify 0 into 0 53.746 * [backup-simplify]: Simplify 1 into 1 53.746 * [backup-simplify]: Simplify (/ PI 1) into PI 53.747 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.748 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.748 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.748 * [taylor]: Taking taylor expansion of k in n 53.748 * [backup-simplify]: Simplify k into k 53.748 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.748 * [taylor]: Taking taylor expansion of 1 in n 53.748 * [backup-simplify]: Simplify 1 into 1 53.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.749 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.750 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.751 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.752 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.754 * [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)))))) 53.755 * [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))))))) 53.756 * [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))))))) 53.756 * [backup-simplify]: Simplify 0 into 0 53.757 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 53.760 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 53.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 53.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 53.761 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 53.761 * [taylor]: Taking taylor expansion of +nan.0 in n 53.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.761 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.761 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.761 * [taylor]: Taking taylor expansion of 1/2 in n 53.761 * [backup-simplify]: Simplify 1/2 into 1/2 53.761 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.761 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 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 (log (* -2 PI)) into (log (* -2 PI)) 53.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.763 * [taylor]: Taking taylor expansion of k in n 53.763 * [backup-simplify]: Simplify k into k 53.763 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.763 * [taylor]: Taking taylor expansion of 1 in n 53.763 * [backup-simplify]: Simplify 1 into 1 53.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.765 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.766 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.767 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.768 * [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))))) 53.769 * [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)))))) 53.770 * [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))))))) 53.771 * [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))))))) 53.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.773 * [backup-simplify]: Simplify (+ 0 0) into 0 53.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.775 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.778 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 53.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 53.781 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.782 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 53.783 * [backup-simplify]: Simplify (- 0) into 0 53.783 * [backup-simplify]: Simplify 0 into 0 53.783 * [backup-simplify]: Simplify 0 into 0 53.784 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 53.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 53.789 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 53.789 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 53.789 * [taylor]: Taking taylor expansion of +nan.0 in n 53.789 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.789 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.789 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.789 * [taylor]: Taking taylor expansion of 1/2 in n 53.789 * [backup-simplify]: Simplify 1/2 into 1/2 53.789 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.789 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.790 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.790 * [taylor]: Taking taylor expansion of -2 in n 53.790 * [backup-simplify]: Simplify -2 into -2 53.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.790 * [taylor]: Taking taylor expansion of PI in n 53.790 * [backup-simplify]: Simplify PI into PI 53.790 * [taylor]: Taking taylor expansion of n in n 53.790 * [backup-simplify]: Simplify 0 into 0 53.790 * [backup-simplify]: Simplify 1 into 1 53.790 * [backup-simplify]: Simplify (/ PI 1) into PI 53.791 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.792 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.792 * [taylor]: Taking taylor expansion of k in n 53.792 * [backup-simplify]: Simplify k into k 53.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.792 * [taylor]: Taking taylor expansion of 1 in n 53.792 * [backup-simplify]: Simplify 1 into 1 53.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.793 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.794 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.796 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.797 * [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))))) 53.798 * [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)))))) 53.799 * [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))))))) 53.800 * [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))))))) 53.804 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 53.804 * * * [progress]: simplifying candidates 53.804 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 53.805 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 53.805 * * [simplify]: iters left: 6 (13 enodes) 53.813 * * [simplify]: iters left: 5 (54 enodes) 53.833 * * [simplify]: iters left: 4 (97 enodes) 53.868 * * [simplify]: iters left: 3 (246 enodes) 53.956 * * [simplify]: Extracting #0: cost 1 inf + 0 53.956 * * [simplify]: Extracting #1: cost 28 inf + 0 53.957 * * [simplify]: Extracting #2: cost 93 inf + 2 53.958 * * [simplify]: Extracting #3: cost 138 inf + 186 53.959 * * [simplify]: Extracting #4: cost 108 inf + 3370 53.966 * * [simplify]: Extracting #5: cost 33 inf + 22278 53.978 * * [simplify]: Extracting #6: cost 2 inf + 32881 53.990 * * [simplify]: Extracting #7: cost 0 inf + 33789 54.003 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 54.003 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 54.003 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 54.004 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 54.004 * * [simplify]: iters left: 6 (12 enodes) 54.011 * * [simplify]: iters left: 5 (52 enodes) 54.030 * * [simplify]: iters left: 4 (90 enodes) 54.062 * * [simplify]: iters left: 3 (201 enodes) 54.114 * * [simplify]: iters left: 2 (496 enodes) 54.412 * * [simplify]: Extracting #0: cost 1 inf + 0 54.412 * * [simplify]: Extracting #1: cost 22 inf + 0 54.412 * * [simplify]: Extracting #2: cost 123 inf + 2 54.415 * * [simplify]: Extracting #3: cost 296 inf + 186 54.419 * * [simplify]: Extracting #4: cost 244 inf + 9812 54.430 * * [simplify]: Extracting #5: cost 93 inf + 50654 54.446 * * [simplify]: Extracting #6: cost 0 inf + 82473 54.473 * * [simplify]: Extracting #7: cost 0 inf + 82467 54.506 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 54.506 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 54.506 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 54.507 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 54.507 * * [simplify]: iters left: 6 (11 enodes) 54.513 * * [simplify]: iters left: 5 (51 enodes) 54.534 * * [simplify]: iters left: 4 (97 enodes) 54.551 * * [simplify]: iters left: 3 (198 enodes) 54.625 * * [simplify]: iters left: 2 (492 enodes) 54.942 * * [simplify]: Extracting #0: cost 1 inf + 0 54.942 * * [simplify]: Extracting #1: cost 27 inf + 0 54.943 * * [simplify]: Extracting #2: cost 138 inf + 2 54.945 * * [simplify]: Extracting #3: cost 300 inf + 352 54.950 * * [simplify]: Extracting #4: cost 251 inf + 8938 54.971 * * [simplify]: Extracting #5: cost 48 inf + 62855 55.006 * * [simplify]: Extracting #6: cost 0 inf + 74672 55.024 * * [simplify]: Extracting #7: cost 0 inf + 74341 55.040 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 55.040 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 55.040 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 55.040 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 55.040 * [simplify]: Simplifying (* (* 2 PI) n) 55.040 * * [simplify]: iters left: 4 (5 enodes) 55.043 * * [simplify]: iters left: 3 (19 enodes) 55.049 * * [simplify]: iters left: 2 (27 enodes) 55.057 * * [simplify]: iters left: 1 (32 enodes) 55.061 * * [simplify]: Extracting #0: cost 1 inf + 0 55.061 * * [simplify]: Extracting #1: cost 8 inf + 0 55.061 * * [simplify]: Extracting #2: cost 7 inf + 45 55.061 * * [simplify]: Extracting #3: cost 0 inf + 421 55.061 * [simplify]: Simplified to (* (* 2 PI) n) 55.061 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 55.061 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 55.061 * [simplify]: Simplifying (* (* 2 PI) n) 55.062 * * [simplify]: iters left: 4 (5 enodes) 55.063 * * [simplify]: iters left: 3 (19 enodes) 55.066 * * [simplify]: iters left: 2 (27 enodes) 55.070 * * [simplify]: iters left: 1 (32 enodes) 55.074 * * [simplify]: Extracting #0: cost 1 inf + 0 55.074 * * [simplify]: Extracting #1: cost 8 inf + 0 55.074 * * [simplify]: Extracting #2: cost 7 inf + 45 55.074 * * [simplify]: Extracting #3: cost 0 inf + 421 55.075 * [simplify]: Simplified to (* (* 2 PI) n) 55.075 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 55.075 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 55.075 * [simplify]: Simplifying (* (* 2 PI) n) 55.075 * * [simplify]: iters left: 4 (5 enodes) 55.076 * * [simplify]: iters left: 3 (19 enodes) 55.079 * * [simplify]: iters left: 2 (27 enodes) 55.085 * * [simplify]: iters left: 1 (32 enodes) 55.092 * * [simplify]: Extracting #0: cost 1 inf + 0 55.093 * * [simplify]: Extracting #1: cost 8 inf + 0 55.093 * * [simplify]: Extracting #2: cost 7 inf + 45 55.093 * * [simplify]: Extracting #3: cost 0 inf + 421 55.093 * [simplify]: Simplified to (* (* 2 PI) n) 55.093 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 55.093 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 55.094 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 55.094 * * [simplify]: iters left: 5 (8 enodes) 55.098 * * [simplify]: iters left: 4 (31 enodes) 55.109 * * [simplify]: iters left: 3 (51 enodes) 55.125 * * [simplify]: iters left: 2 (85 enodes) 55.154 * * [simplify]: iters left: 1 (152 enodes) 55.210 * * [simplify]: Extracting #0: cost 1 inf + 0 55.210 * * [simplify]: Extracting #1: cost 13 inf + 0 55.211 * * [simplify]: Extracting #2: cost 60 inf + 1 55.211 * * [simplify]: Extracting #3: cost 76 inf + 51 55.212 * * [simplify]: Extracting #4: cost 44 inf + 2846 55.215 * * [simplify]: Extracting #5: cost 21 inf + 7590 55.220 * * [simplify]: Extracting #6: cost 1 inf + 20687 55.228 * * [simplify]: Extracting #7: cost 0 inf + 20539 55.234 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 55.234 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 55.234 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 55.234 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 55.234 * * [simplify]: iters left: 5 (6 enodes) 55.239 * * [simplify]: iters left: 4 (26 enodes) 55.247 * * [simplify]: iters left: 3 (35 enodes) 55.257 * * [simplify]: Extracting #0: cost 1 inf + 0 55.257 * * [simplify]: Extracting #1: cost 3 inf + 0 55.257 * * [simplify]: Extracting #2: cost 8 inf + 0 55.257 * * [simplify]: Extracting #3: cost 11 inf + 2 55.257 * * [simplify]: Extracting #4: cost 8 inf + 87 55.258 * * [simplify]: Extracting #5: cost 2 inf + 500 55.258 * * [simplify]: Extracting #6: cost 0 inf + 746 55.259 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 55.259 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 55.259 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 55.259 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 55.259 * * [simplify]: iters left: 5 (6 enodes) 55.263 * * [simplify]: iters left: 4 (26 enodes) 55.272 * * [simplify]: iters left: 3 (35 enodes) 55.282 * * [simplify]: Extracting #0: cost 1 inf + 0 55.282 * * [simplify]: Extracting #1: cost 3 inf + 0 55.282 * * [simplify]: Extracting #2: cost 8 inf + 0 55.282 * * [simplify]: Extracting #3: cost 11 inf + 2 55.282 * * [simplify]: Extracting #4: cost 8 inf + 87 55.283 * * [simplify]: Extracting #5: cost 2 inf + 460 55.283 * * [simplify]: Extracting #6: cost 0 inf + 666 55.283 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 55.283 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 55.283 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 55.284 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 55.284 * * [simplify]: iters left: 5 (7 enodes) 55.288 * * [simplify]: iters left: 4 (25 enodes) 55.296 * * [simplify]: iters left: 3 (30 enodes) 55.305 * * [simplify]: Extracting #0: cost 1 inf + 0 55.305 * * [simplify]: Extracting #1: cost 4 inf + 0 55.305 * * [simplify]: Extracting #2: cost 8 inf + 0 55.305 * * [simplify]: Extracting #3: cost 10 inf + 82 55.306 * * [simplify]: Extracting #4: cost 7 inf + 206 55.306 * * [simplify]: Extracting #5: cost 2 inf + 575 55.306 * * [simplify]: Extracting #6: cost 1 inf + 818 55.306 * * [simplify]: Extracting #7: cost 0 inf + 1061 55.307 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 55.307 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 55.307 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 55.308 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 55.308 * * [simplify]: iters left: 5 (7 enodes) 55.312 * * [simplify]: iters left: 4 (25 enodes) 55.321 * * [simplify]: iters left: 3 (30 enodes) 55.331 * * [simplify]: Extracting #0: cost 1 inf + 0 55.331 * * [simplify]: Extracting #1: cost 4 inf + 0 55.331 * * [simplify]: Extracting #2: cost 8 inf + 0 55.331 * * [simplify]: Extracting #3: cost 10 inf + 42 55.331 * * [simplify]: Extracting #4: cost 7 inf + 126 55.331 * * [simplify]: Extracting #5: cost 2 inf + 495 55.331 * * [simplify]: Extracting #6: cost 1 inf + 698 55.332 * * [simplify]: Extracting #7: cost 0 inf + 901 55.332 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 55.332 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 55.332 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 55.333 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 55.333 * * [simplify]: iters left: 5 (6 enodes) 55.336 * * [simplify]: iters left: 4 (22 enodes) 55.344 * * [simplify]: iters left: 3 (27 enodes) 55.352 * * [simplify]: Extracting #0: cost 1 inf + 0 55.352 * * [simplify]: Extracting #1: cost 4 inf + 0 55.352 * * [simplify]: Extracting #2: cost 5 inf + 1 55.352 * * [simplify]: Extracting #3: cost 9 inf + 1 55.352 * * [simplify]: Extracting #4: cost 8 inf + 3 55.352 * * [simplify]: Extracting #5: cost 4 inf + 169 55.353 * * [simplify]: Extracting #6: cost 1 inf + 576 55.353 * * [simplify]: Extracting #7: cost 0 inf + 739 55.353 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 55.353 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 55.353 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 55.354 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 55.354 * * [simplify]: iters left: 5 (7 enodes) 55.358 * * [simplify]: iters left: 4 (25 enodes) 55.366 * * [simplify]: iters left: 3 (30 enodes) 55.375 * * [simplify]: Extracting #0: cost 1 inf + 0 55.375 * * [simplify]: Extracting #1: cost 4 inf + 0 55.375 * * [simplify]: Extracting #2: cost 8 inf + 0 55.376 * * [simplify]: Extracting #3: cost 10 inf + 82 55.376 * * [simplify]: Extracting #4: cost 7 inf + 206 55.376 * * [simplify]: Extracting #5: cost 2 inf + 495 55.376 * * [simplify]: Extracting #6: cost 1 inf + 698 55.376 * * [simplify]: Extracting #7: cost 0 inf + 901 55.377 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 55.377 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 55.377 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 55.377 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 55.377 * * [simplify]: iters left: 5 (7 enodes) 55.382 * * [simplify]: iters left: 4 (25 enodes) 55.392 * * [simplify]: iters left: 3 (30 enodes) 55.401 * * [simplify]: Extracting #0: cost 1 inf + 0 55.401 * * [simplify]: Extracting #1: cost 4 inf + 0 55.401 * * [simplify]: Extracting #2: cost 8 inf + 0 55.401 * * [simplify]: Extracting #3: cost 10 inf + 42 55.401 * * [simplify]: Extracting #4: cost 7 inf + 126 55.401 * * [simplify]: Extracting #5: cost 2 inf + 415 55.402 * * [simplify]: Extracting #6: cost 1 inf + 578 55.402 * * [simplify]: Extracting #7: cost 0 inf + 741 55.402 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 55.402 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 55.402 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 55.403 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 55.403 * * [simplify]: iters left: 5 (6 enodes) 55.406 * * [simplify]: iters left: 4 (22 enodes) 55.414 * * [simplify]: iters left: 3 (27 enodes) 55.422 * * [simplify]: Extracting #0: cost 1 inf + 0 55.422 * * [simplify]: Extracting #1: cost 4 inf + 0 55.422 * * [simplify]: Extracting #2: cost 5 inf + 1 55.422 * * [simplify]: Extracting #3: cost 9 inf + 1 55.422 * * [simplify]: Extracting #4: cost 8 inf + 3 55.422 * * [simplify]: Extracting #5: cost 4 inf + 169 55.422 * * [simplify]: Extracting #6: cost 1 inf + 456 55.422 * * [simplify]: Extracting #7: cost 0 inf + 579 55.422 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 55.423 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 55.423 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 55.423 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 55.423 * * [simplify]: iters left: 4 (6 enodes) 55.425 * * [simplify]: iters left: 3 (25 enodes) 55.430 * * [simplify]: iters left: 2 (36 enodes) 55.436 * * [simplify]: iters left: 1 (40 enodes) 55.442 * * [simplify]: Extracting #0: cost 1 inf + 0 55.442 * * [simplify]: Extracting #1: cost 7 inf + 0 55.442 * * [simplify]: Extracting #2: cost 16 inf + 0 55.442 * * [simplify]: Extracting #3: cost 13 inf + 44 55.442 * * [simplify]: Extracting #4: cost 3 inf + 1103 55.442 * * [simplify]: Extracting #5: cost 0 inf + 1469 55.443 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 55.443 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 55.443 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 55.443 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 55.443 * * [simplify]: iters left: 4 (6 enodes) 55.445 * * [simplify]: iters left: 3 (25 enodes) 55.451 * * [simplify]: iters left: 2 (36 enodes) 55.462 * * [simplify]: iters left: 1 (40 enodes) 55.469 * * [simplify]: Extracting #0: cost 1 inf + 0 55.469 * * [simplify]: Extracting #1: cost 7 inf + 0 55.469 * * [simplify]: Extracting #2: cost 16 inf + 0 55.469 * * [simplify]: Extracting #3: cost 13 inf + 44 55.470 * * [simplify]: Extracting #4: cost 3 inf + 823 55.470 * * [simplify]: Extracting #5: cost 0 inf + 1069 55.470 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 55.470 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 55.470 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 55.471 * [simplify]: Simplifying (/ (- 1 k) 2) 55.471 * * [simplify]: iters left: 4 (5 enodes) 55.473 * * [simplify]: iters left: 3 (23 enodes) 55.477 * * [simplify]: iters left: 2 (32 enodes) 55.482 * * [simplify]: Extracting #0: cost 1 inf + 0 55.482 * * [simplify]: Extracting #1: cost 6 inf + 0 55.483 * * [simplify]: Extracting #2: cost 9 inf + 2 55.483 * * [simplify]: Extracting #3: cost 6 inf + 87 55.483 * * [simplify]: Extracting #4: cost 0 inf + 420 55.483 * [simplify]: Simplified to (/ (- 1 k) 2) 55.483 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 55.483 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 55.483 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 55.483 * * [simplify]: iters left: 5 (8 enodes) 55.486 * * [simplify]: iters left: 4 (31 enodes) 55.492 * * [simplify]: iters left: 3 (45 enodes) 55.507 * * [simplify]: iters left: 2 (51 enodes) 55.522 * * [simplify]: iters left: 1 (52 enodes) 55.535 * * [simplify]: Extracting #0: cost 1 inf + 0 55.535 * * [simplify]: Extracting #1: cost 8 inf + 0 55.535 * * [simplify]: Extracting #2: cost 18 inf + 0 55.535 * * [simplify]: Extracting #3: cost 19 inf + 2 55.536 * * [simplify]: Extracting #4: cost 9 inf + 977 55.536 * * [simplify]: Extracting #5: cost 2 inf + 1790 55.537 * * [simplify]: Extracting #6: cost 0 inf + 2195 55.537 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 55.538 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 55.538 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 55.538 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 55.538 * * [simplify]: iters left: 5 (8 enodes) 55.543 * * [simplify]: iters left: 4 (31 enodes) 55.551 * * [simplify]: iters left: 3 (45 enodes) 55.557 * * [simplify]: iters left: 2 (51 enodes) 55.565 * * [simplify]: iters left: 1 (52 enodes) 55.572 * * [simplify]: Extracting #0: cost 1 inf + 0 55.572 * * [simplify]: Extracting #1: cost 8 inf + 0 55.572 * * [simplify]: Extracting #2: cost 18 inf + 0 55.572 * * [simplify]: Extracting #3: cost 19 inf + 2 55.572 * * [simplify]: Extracting #4: cost 9 inf + 697 55.572 * * [simplify]: Extracting #5: cost 2 inf + 1390 55.573 * * [simplify]: Extracting #6: cost 0 inf + 1715 55.573 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 55.573 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 55.573 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 55.573 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 55.574 * * [simplify]: iters left: 5 (7 enodes) 55.576 * * [simplify]: iters left: 4 (29 enodes) 55.582 * * [simplify]: iters left: 3 (43 enodes) 55.594 * * [simplify]: iters left: 2 (47 enodes) 55.606 * * [simplify]: Extracting #0: cost 1 inf + 0 55.606 * * [simplify]: Extracting #1: cost 7 inf + 0 55.606 * * [simplify]: Extracting #2: cost 11 inf + 2 55.606 * * [simplify]: Extracting #3: cost 13 inf + 3 55.606 * * [simplify]: Extracting #4: cost 11 inf + 45 55.607 * * [simplify]: Extracting #5: cost 0 inf + 1066 55.607 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 55.607 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 55.607 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 55.608 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 55.608 * * [simplify]: iters left: 5 (7 enodes) 55.612 * * [simplify]: iters left: 4 (28 enodes) 55.621 * * [simplify]: iters left: 3 (39 enodes) 55.636 * * [simplify]: iters left: 2 (43 enodes) 55.648 * * [simplify]: Extracting #0: cost 1 inf + 0 55.648 * * [simplify]: Extracting #1: cost 7 inf + 0 55.648 * * [simplify]: Extracting #2: cost 16 inf + 0 55.649 * * [simplify]: Extracting #3: cost 15 inf + 164 55.649 * * [simplify]: Extracting #4: cost 13 inf + 287 55.649 * * [simplify]: Extracting #5: cost 5 inf + 1180 55.650 * * [simplify]: Extracting #6: cost 0 inf + 1951 55.650 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 55.650 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 55.651 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 55.651 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 55.651 * * [simplify]: iters left: 5 (7 enodes) 55.655 * * [simplify]: iters left: 4 (28 enodes) 55.665 * * [simplify]: iters left: 3 (39 enodes) 55.677 * * [simplify]: iters left: 2 (43 enodes) 55.690 * * [simplify]: Extracting #0: cost 1 inf + 0 55.690 * * [simplify]: Extracting #1: cost 7 inf + 0 55.690 * * [simplify]: Extracting #2: cost 16 inf + 0 55.690 * * [simplify]: Extracting #3: cost 15 inf + 84 55.690 * * [simplify]: Extracting #4: cost 13 inf + 167 55.691 * * [simplify]: Extracting #5: cost 5 inf + 900 55.691 * * [simplify]: Extracting #6: cost 0 inf + 1551 55.692 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 55.692 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 55.692 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 55.692 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 55.692 * * [simplify]: iters left: 5 (6 enodes) 55.695 * * [simplify]: iters left: 4 (26 enodes) 55.699 * * [simplify]: iters left: 3 (35 enodes) 55.705 * * [simplify]: Extracting #0: cost 1 inf + 0 55.705 * * [simplify]: Extracting #1: cost 6 inf + 0 55.705 * * [simplify]: Extracting #2: cost 9 inf + 2 55.705 * * [simplify]: Extracting #3: cost 11 inf + 3 55.705 * * [simplify]: Extracting #4: cost 10 inf + 4 55.705 * * [simplify]: Extracting #5: cost 3 inf + 535 55.705 * * [simplify]: Extracting #6: cost 0 inf + 822 55.706 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 55.706 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 55.706 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 55.706 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 55.706 * * [simplify]: iters left: 4 (6 enodes) 55.708 * * [simplify]: iters left: 3 (25 enodes) 55.713 * * [simplify]: iters left: 2 (36 enodes) 55.719 * * [simplify]: iters left: 1 (40 enodes) 55.729 * * [simplify]: Extracting #0: cost 1 inf + 0 55.729 * * [simplify]: Extracting #1: cost 7 inf + 0 55.729 * * [simplify]: Extracting #2: cost 16 inf + 0 55.729 * * [simplify]: Extracting #3: cost 13 inf + 44 55.730 * * [simplify]: Extracting #4: cost 3 inf + 1103 55.730 * * [simplify]: Extracting #5: cost 0 inf + 1469 55.731 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 55.731 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 55.731 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 55.731 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 55.731 * * [simplify]: iters left: 4 (6 enodes) 55.735 * * [simplify]: iters left: 3 (25 enodes) 55.741 * * [simplify]: iters left: 2 (36 enodes) 55.747 * * [simplify]: iters left: 1 (40 enodes) 55.756 * * [simplify]: Extracting #0: cost 1 inf + 0 55.756 * * [simplify]: Extracting #1: cost 7 inf + 0 55.756 * * [simplify]: Extracting #2: cost 16 inf + 0 55.756 * * [simplify]: Extracting #3: cost 13 inf + 44 55.756 * * [simplify]: Extracting #4: cost 3 inf + 823 55.756 * * [simplify]: Extracting #5: cost 0 inf + 1069 55.756 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 55.757 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 55.757 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 55.757 * [simplify]: Simplifying (/ (- 1 k) 2) 55.757 * * [simplify]: iters left: 4 (5 enodes) 55.759 * * [simplify]: iters left: 3 (23 enodes) 55.763 * * [simplify]: iters left: 2 (32 enodes) 55.773 * * [simplify]: Extracting #0: cost 1 inf + 0 55.773 * * [simplify]: Extracting #1: cost 6 inf + 0 55.773 * * [simplify]: Extracting #2: cost 9 inf + 2 55.773 * * [simplify]: Extracting #3: cost 6 inf + 87 55.773 * * [simplify]: Extracting #4: cost 0 inf + 420 55.773 * [simplify]: Simplified to (/ (- 1 k) 2) 55.773 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 55.774 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 55.774 * [simplify]: Simplifying (/ (- 1 k) 2) 55.774 * * [simplify]: iters left: 4 (5 enodes) 55.778 * * [simplify]: iters left: 3 (23 enodes) 55.783 * * [simplify]: iters left: 2 (32 enodes) 55.788 * * [simplify]: Extracting #0: cost 1 inf + 0 55.788 * * [simplify]: Extracting #1: cost 6 inf + 0 55.788 * * [simplify]: Extracting #2: cost 9 inf + 2 55.788 * * [simplify]: Extracting #3: cost 6 inf + 87 55.789 * * [simplify]: Extracting #4: cost 0 inf + 420 55.789 * [simplify]: Simplified to (/ (- 1 k) 2) 55.789 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 55.789 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 55.789 * [simplify]: Simplifying (/ 1 2) 55.789 * * [simplify]: iters left: 2 (3 enodes) 55.791 * * [simplify]: iters left: 1 (12 enodes) 55.793 * * [simplify]: Extracting #0: cost 1 inf + 0 55.794 * * [simplify]: Extracting #1: cost 0 inf + 1 55.794 * [simplify]: Simplified to 1/2 55.794 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 55.794 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 55.794 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 55.794 * * [simplify]: iters left: 5 (8 enodes) 55.797 * * [simplify]: iters left: 4 (36 enodes) 55.803 * * [simplify]: iters left: 3 (57 enodes) 55.815 * * [simplify]: iters left: 2 (90 enodes) 55.840 * * [simplify]: iters left: 1 (176 enodes) 55.888 * * [simplify]: Extracting #0: cost 1 inf + 0 55.888 * * [simplify]: Extracting #1: cost 13 inf + 0 55.888 * * [simplify]: Extracting #2: cost 55 inf + 1 55.888 * * [simplify]: Extracting #3: cost 86 inf + 6 55.889 * * [simplify]: Extracting #4: cost 68 inf + 2553 55.891 * * [simplify]: Extracting #5: cost 24 inf + 10048 55.894 * * [simplify]: Extracting #6: cost 3 inf + 21580 55.897 * * [simplify]: Extracting #7: cost 0 inf + 23439 55.901 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 55.901 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 55.901 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 34 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 55.901 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 55.901 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 55.901 * [simplify]: Simplifying (* (* 2 PI) n) 55.901 * * [simplify]: iters left: 4 (5 enodes) 55.903 * * [simplify]: iters left: 3 (19 enodes) 55.908 * * [simplify]: iters left: 2 (27 enodes) 55.916 * * [simplify]: iters left: 1 (32 enodes) 55.924 * * [simplify]: Extracting #0: cost 1 inf + 0 55.924 * * [simplify]: Extracting #1: cost 8 inf + 0 55.924 * * [simplify]: Extracting #2: cost 7 inf + 45 55.925 * * [simplify]: Extracting #3: cost 0 inf + 421 55.925 * [simplify]: Simplified to (* (* 2 PI) n) 55.925 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 55.925 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 55.925 * [simplify]: Simplifying (* (* 2 PI) n) 55.925 * * [simplify]: iters left: 4 (5 enodes) 55.928 * * [simplify]: iters left: 3 (19 enodes) 55.931 * * [simplify]: iters left: 2 (27 enodes) 55.936 * * [simplify]: iters left: 1 (32 enodes) 55.940 * * [simplify]: Extracting #0: cost 1 inf + 0 55.940 * * [simplify]: Extracting #1: cost 8 inf + 0 55.940 * * [simplify]: Extracting #2: cost 7 inf + 45 55.940 * * [simplify]: Extracting #3: cost 0 inf + 421 55.940 * [simplify]: Simplified to (* (* 2 PI) n) 55.940 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 55.940 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 55.940 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 55.940 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 55.940 * * [simplify]: iters left: 5 (8 enodes) 55.943 * * [simplify]: iters left: 4 (28 enodes) 55.948 * * [simplify]: iters left: 3 (36 enodes) 55.953 * * [simplify]: iters left: 2 (42 enodes) 55.965 * * [simplify]: Extracting #0: cost 1 inf + 0 55.965 * * [simplify]: Extracting #1: cost 8 inf + 0 55.965 * * [simplify]: Extracting #2: cost 17 inf + 0 55.965 * * [simplify]: Extracting #3: cost 13 inf + 74 55.965 * * [simplify]: Extracting #4: cost 6 inf + 1015 55.966 * * [simplify]: Extracting #5: cost 0 inf + 2107 55.967 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 55.967 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 55.967 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 55.967 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 55.967 * * [simplify]: iters left: 5 (7 enodes) 55.972 * * [simplify]: iters left: 4 (26 enodes) 55.980 * * [simplify]: iters left: 3 (35 enodes) 55.990 * * [simplify]: iters left: 2 (44 enodes) 56.003 * * [simplify]: Extracting #0: cost 1 inf + 0 56.003 * * [simplify]: Extracting #1: cost 8 inf + 0 56.003 * * [simplify]: Extracting #2: cost 18 inf + 0 56.003 * * [simplify]: Extracting #3: cost 15 inf + 74 56.003 * * [simplify]: Extracting #4: cost 6 inf + 918 56.004 * * [simplify]: Extracting #5: cost 0 inf + 1911 56.004 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 56.004 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 56.004 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 56.005 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 56.005 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 56.005 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 56.005 * * [simplify]: iters left: 6 (11 enodes) 56.012 * * [simplify]: iters left: 5 (47 enodes) 56.027 * * [simplify]: iters left: 4 (115 enodes) 56.060 * * [simplify]: iters left: 3 (384 enodes) 56.362 * * [simplify]: Extracting #0: cost 1 inf + 0 56.362 * * [simplify]: Extracting #1: cost 102 inf + 0 56.363 * * [simplify]: Extracting #2: cost 263 inf + 1026 56.369 * * [simplify]: Extracting #3: cost 88 inf + 24284 56.379 * * [simplify]: Extracting #4: cost 2 inf + 40704 56.393 * * [simplify]: Extracting #5: cost 0 inf + 41008 56.412 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 56.412 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 56.413 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 56.413 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 56.413 * * [simplify]: iters left: 6 (9 enodes) 56.419 * * [simplify]: iters left: 5 (45 enodes) 56.437 * * [simplify]: iters left: 4 (116 enodes) 56.502 * * [simplify]: iters left: 3 (371 enodes) 56.787 * * [simplify]: Extracting #0: cost 1 inf + 0 56.788 * * [simplify]: Extracting #1: cost 82 inf + 0 56.789 * * [simplify]: Extracting #2: cost 200 inf + 498 56.792 * * [simplify]: Extracting #3: cost 121 inf + 10421 56.801 * * [simplify]: Extracting #4: cost 5 inf + 33505 56.811 * * [simplify]: Extracting #5: cost 0 inf + 33849 56.822 * * [simplify]: Extracting #6: cost 0 inf + 33809 56.841 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 56.842 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 56.842 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 56.842 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 56.842 * * * * [progress]: [ 52 / 112 ] simplifiying candidate # 56.842 * * * * [progress]: [ 53 / 112 ] simplifiying candidate # 56.842 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 56.842 * [simplify]: Simplifying (cbrt n) 56.843 * * [simplify]: iters left: 1 (2 enodes) 56.843 * * [simplify]: Extracting #0: cost 1 inf + 0 56.843 * * [simplify]: Extracting #1: cost 3 inf + 0 56.844 * * [simplify]: Extracting #2: cost 2 inf + 1 56.844 * * [simplify]: Extracting #3: cost 0 inf + 163 56.844 * [simplify]: Simplified to (cbrt n) 56.844 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 56.844 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 56.844 * [simplify]: Simplifying (sqrt n) 56.844 * * [simplify]: iters left: 1 (2 enodes) 56.845 * * [simplify]: Extracting #0: cost 1 inf + 0 56.845 * * [simplify]: Extracting #1: cost 3 inf + 0 56.845 * * [simplify]: Extracting #2: cost 2 inf + 1 56.845 * * [simplify]: Extracting #3: cost 0 inf + 83 56.845 * [simplify]: Simplified to (sqrt n) 56.845 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 56.845 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 56.845 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 56.846 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 56.846 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 56.846 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 56.846 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 56.846 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 56.846 * * [simplify]: iters left: 6 (17 enodes) 56.856 * * [simplify]: iters left: 5 (68 enodes) 56.883 * * [simplify]: iters left: 4 (111 enodes) 56.928 * * [simplify]: iters left: 3 (289 enodes) 57.048 * * [simplify]: Extracting #0: cost 1 inf + 0 57.048 * * [simplify]: Extracting #1: cost 24 inf + 0 57.048 * * [simplify]: Extracting #2: cost 76 inf + 0 57.049 * * [simplify]: Extracting #3: cost 136 inf + 74 57.049 * * [simplify]: Extracting #4: cost 153 inf + 809 57.052 * * [simplify]: Extracting #5: cost 76 inf + 18247 57.059 * * [simplify]: Extracting #6: cost 5 inf + 41211 57.074 * * [simplify]: Extracting #7: cost 0 inf + 43142 57.090 * * [simplify]: Extracting #8: cost 0 inf + 43140 57.109 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 57.109 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))))) 57.110 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 57.110 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 57.111 * * [simplify]: iters left: 6 (16 enodes) 57.120 * * [simplify]: iters left: 5 (66 enodes) 57.142 * * [simplify]: iters left: 4 (104 enodes) 57.178 * * [simplify]: iters left: 3 (231 enodes) 57.260 * * [simplify]: Extracting #0: cost 1 inf + 0 57.260 * * [simplify]: Extracting #1: cost 18 inf + 0 57.260 * * [simplify]: Extracting #2: cost 63 inf + 0 57.261 * * [simplify]: Extracting #3: cost 116 inf + 74 57.262 * * [simplify]: Extracting #4: cost 134 inf + 670 57.266 * * [simplify]: Extracting #5: cost 61 inf + 15167 57.278 * * [simplify]: Extracting #6: cost 2 inf + 32562 57.291 * * [simplify]: Extracting #7: cost 0 inf + 33277 57.304 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 57.304 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))))) 57.304 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 57.305 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 57.305 * * [simplify]: iters left: 6 (15 enodes) 57.314 * * [simplify]: iters left: 5 (65 enodes) 57.325 * * [simplify]: iters left: 4 (111 enodes) 57.347 * * [simplify]: iters left: 3 (219 enodes) 57.409 * * [simplify]: Extracting #0: cost 1 inf + 0 57.410 * * [simplify]: Extracting #1: cost 12 inf + 0 57.410 * * [simplify]: Extracting #2: cost 53 inf + 0 57.410 * * [simplify]: Extracting #3: cost 111 inf + 3 57.411 * * [simplify]: Extracting #4: cost 141 inf + 373 57.412 * * [simplify]: Extracting #5: cost 100 inf + 5100 57.416 * * [simplify]: Extracting #6: cost 25 inf + 21516 57.424 * * [simplify]: Extracting #7: cost 0 inf + 28578 57.430 * * [simplify]: Extracting #8: cost 0 inf + 28357 57.436 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 57.436 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 57.436 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 57.436 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 57.436 * * [simplify]: iters left: 6 (15 enodes) 57.441 * * [simplify]: iters left: 5 (65 enodes) 57.460 * * [simplify]: iters left: 4 (111 enodes) 57.498 * * [simplify]: iters left: 3 (219 enodes) 57.562 * * [simplify]: Extracting #0: cost 1 inf + 0 57.563 * * [simplify]: Extracting #1: cost 12 inf + 0 57.563 * * [simplify]: Extracting #2: cost 53 inf + 0 57.564 * * [simplify]: Extracting #3: cost 111 inf + 3 57.564 * * [simplify]: Extracting #4: cost 141 inf + 373 57.567 * * [simplify]: Extracting #5: cost 100 inf + 5100 57.574 * * [simplify]: Extracting #6: cost 25 inf + 21516 57.586 * * [simplify]: Extracting #7: cost 0 inf + 28578 57.597 * * [simplify]: Extracting #8: cost 0 inf + 28357 57.609 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 57.609 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 57.610 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 57.610 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 57.610 * * [simplify]: iters left: 6 (15 enodes) 57.619 * * [simplify]: iters left: 5 (64 enodes) 57.640 * * [simplify]: iters left: 4 (107 enodes) 57.681 * * [simplify]: iters left: 3 (213 enodes) 57.735 * * [simplify]: Extracting #0: cost 1 inf + 0 57.735 * * [simplify]: Extracting #1: cost 14 inf + 0 57.735 * * [simplify]: Extracting #2: cost 86 inf + 0 57.736 * * [simplify]: Extracting #3: cost 156 inf + 3 57.737 * * [simplify]: Extracting #4: cost 169 inf + 543 57.740 * * [simplify]: Extracting #5: cost 117 inf + 8890 57.747 * * [simplify]: Extracting #6: cost 31 inf + 26444 57.755 * * [simplify]: Extracting #7: cost 1 inf + 37162 57.762 * * [simplify]: Extracting #8: cost 0 inf + 37879 57.769 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 57.769 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 57.769 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 57.769 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 57.769 * * [simplify]: iters left: 6 (17 enodes) 57.775 * * [simplify]: iters left: 5 (68 enodes) 57.787 * * [simplify]: iters left: 4 (111 enodes) 57.814 * * [simplify]: iters left: 3 (289 enodes) 57.938 * * [simplify]: Extracting #0: cost 1 inf + 0 57.939 * * [simplify]: Extracting #1: cost 24 inf + 0 57.939 * * [simplify]: Extracting #2: cost 76 inf + 0 57.940 * * [simplify]: Extracting #3: cost 136 inf + 74 57.941 * * [simplify]: Extracting #4: cost 153 inf + 809 57.947 * * [simplify]: Extracting #5: cost 76 inf + 18247 57.961 * * [simplify]: Extracting #6: cost 5 inf + 41211 57.973 * * [simplify]: Extracting #7: cost 0 inf + 43142 57.981 * * [simplify]: Extracting #8: cost 0 inf + 43140 57.989 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 57.989 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))))) 57.990 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 57.990 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 57.990 * * [simplify]: iters left: 6 (16 enodes) 57.995 * * [simplify]: iters left: 5 (66 enodes) 58.011 * * [simplify]: iters left: 4 (104 enodes) 58.049 * * [simplify]: iters left: 3 (231 enodes) 58.154 * * [simplify]: Extracting #0: cost 1 inf + 0 58.154 * * [simplify]: Extracting #1: cost 18 inf + 0 58.154 * * [simplify]: Extracting #2: cost 63 inf + 0 58.154 * * [simplify]: Extracting #3: cost 116 inf + 74 58.155 * * [simplify]: Extracting #4: cost 134 inf + 670 58.157 * * [simplify]: Extracting #5: cost 61 inf + 15167 58.163 * * [simplify]: Extracting #6: cost 2 inf + 32562 58.170 * * [simplify]: Extracting #7: cost 0 inf + 33277 58.176 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 58.177 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))))) 58.177 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 58.177 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 58.177 * * [simplify]: iters left: 6 (15 enodes) 58.186 * * [simplify]: iters left: 5 (65 enodes) 58.213 * * [simplify]: iters left: 4 (111 enodes) 58.251 * * [simplify]: iters left: 3 (219 enodes) 58.329 * * [simplify]: Extracting #0: cost 1 inf + 0 58.329 * * [simplify]: Extracting #1: cost 12 inf + 0 58.329 * * [simplify]: Extracting #2: cost 53 inf + 0 58.329 * * [simplify]: Extracting #3: cost 111 inf + 3 58.330 * * [simplify]: Extracting #4: cost 141 inf + 373 58.331 * * [simplify]: Extracting #5: cost 100 inf + 5100 58.335 * * [simplify]: Extracting #6: cost 25 inf + 21516 58.340 * * [simplify]: Extracting #7: cost 0 inf + 28578 58.347 * * [simplify]: Extracting #8: cost 0 inf + 28357 58.353 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 58.353 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 58.353 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 58.353 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 58.353 * * [simplify]: iters left: 6 (15 enodes) 58.358 * * [simplify]: iters left: 5 (65 enodes) 58.369 * * [simplify]: iters left: 4 (111 enodes) 58.390 * * [simplify]: iters left: 3 (219 enodes) 58.459 * * [simplify]: Extracting #0: cost 1 inf + 0 58.459 * * [simplify]: Extracting #1: cost 12 inf + 0 58.459 * * [simplify]: Extracting #2: cost 53 inf + 0 58.459 * * [simplify]: Extracting #3: cost 111 inf + 3 58.460 * * [simplify]: Extracting #4: cost 141 inf + 373 58.461 * * [simplify]: Extracting #5: cost 100 inf + 5100 58.465 * * [simplify]: Extracting #6: cost 25 inf + 21516 58.471 * * [simplify]: Extracting #7: cost 0 inf + 28578 58.477 * * [simplify]: Extracting #8: cost 0 inf + 28357 58.489 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 58.489 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 58.489 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 58.489 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 58.490 * * [simplify]: iters left: 6 (15 enodes) 58.502 * * [simplify]: iters left: 5 (64 enodes) 58.524 * * [simplify]: iters left: 4 (107 enodes) 58.551 * * [simplify]: iters left: 3 (213 enodes) 58.614 * * [simplify]: Extracting #0: cost 1 inf + 0 58.615 * * [simplify]: Extracting #1: cost 14 inf + 0 58.615 * * [simplify]: Extracting #2: cost 86 inf + 0 58.616 * * [simplify]: Extracting #3: cost 156 inf + 3 58.617 * * [simplify]: Extracting #4: cost 169 inf + 543 58.618 * * [simplify]: Extracting #5: cost 117 inf + 8890 58.623 * * [simplify]: Extracting #6: cost 31 inf + 26444 58.629 * * [simplify]: Extracting #7: cost 1 inf + 37162 58.635 * * [simplify]: Extracting #8: cost 0 inf + 37879 58.643 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 58.643 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 58.644 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 58.644 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 58.644 * * [simplify]: iters left: 6 (17 enodes) 58.654 * * [simplify]: iters left: 5 (73 enodes) 58.680 * * [simplify]: iters left: 4 (133 enodes) 58.741 * * [simplify]: iters left: 3 (346 enodes) 58.847 * * [simplify]: Extracting #0: cost 1 inf + 0 58.848 * * [simplify]: Extracting #1: cost 24 inf + 0 58.848 * * [simplify]: Extracting #2: cost 106 inf + 0 58.849 * * [simplify]: Extracting #3: cost 169 inf + 187 58.851 * * [simplify]: Extracting #4: cost 192 inf + 1305 58.855 * * [simplify]: Extracting #5: cost 134 inf + 13306 58.868 * * [simplify]: Extracting #6: cost 20 inf + 48718 58.888 * * [simplify]: Extracting #7: cost 0 inf + 56881 58.908 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* (log k) -1/2)) 58.908 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* (log k) -1/2)))) 58.908 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 58.908 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 58.909 * * [simplify]: iters left: 6 (16 enodes) 58.916 * * [simplify]: iters left: 5 (71 enodes) 58.935 * * [simplify]: iters left: 4 (126 enodes) 58.965 * * [simplify]: iters left: 3 (292 enodes) 59.082 * * [simplify]: Extracting #0: cost 1 inf + 0 59.082 * * [simplify]: Extracting #1: cost 21 inf + 0 59.083 * * [simplify]: Extracting #2: cost 91 inf + 0 59.084 * * [simplify]: Extracting #3: cost 150 inf + 76 59.085 * * [simplify]: Extracting #4: cost 171 inf + 1571 59.089 * * [simplify]: Extracting #5: cost 111 inf + 13499 59.101 * * [simplify]: Extracting #6: cost 25 inf + 37640 59.117 * * [simplify]: Extracting #7: cost 0 inf + 46259 59.131 * * [simplify]: Extracting #8: cost 0 inf + 46095 59.139 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* (log k) -1/2)) 59.139 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* (log k) -1/2)))) 59.139 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 59.140 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 59.140 * * [simplify]: iters left: 6 (15 enodes) 59.150 * * [simplify]: iters left: 5 (70 enodes) 59.164 * * [simplify]: iters left: 4 (133 enodes) 59.195 * * [simplify]: iters left: 3 (280 enodes) 59.315 * * [simplify]: Extracting #0: cost 1 inf + 0 59.315 * * [simplify]: Extracting #1: cost 14 inf + 0 59.315 * * [simplify]: Extracting #2: cost 76 inf + 0 59.316 * * [simplify]: Extracting #3: cost 140 inf + 5 59.317 * * [simplify]: Extracting #4: cost 174 inf + 921 59.319 * * [simplify]: Extracting #5: cost 104 inf + 12431 59.325 * * [simplify]: Extracting #6: cost 14 inf + 35452 59.332 * * [simplify]: Extracting #7: cost 0 inf + 38959 59.339 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 59.340 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 59.340 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 59.340 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 59.340 * * [simplify]: iters left: 6 (15 enodes) 59.346 * * [simplify]: iters left: 5 (70 enodes) 59.364 * * [simplify]: iters left: 4 (133 enodes) 59.404 * * [simplify]: iters left: 3 (280 enodes) 59.503 * * [simplify]: Extracting #0: cost 1 inf + 0 59.503 * * [simplify]: Extracting #1: cost 14 inf + 0 59.503 * * [simplify]: Extracting #2: cost 76 inf + 0 59.503 * * [simplify]: Extracting #3: cost 140 inf + 5 59.504 * * [simplify]: Extracting #4: cost 174 inf + 921 59.506 * * [simplify]: Extracting #5: cost 104 inf + 12431 59.512 * * [simplify]: Extracting #6: cost 14 inf + 35452 59.519 * * [simplify]: Extracting #7: cost 0 inf + 38959 59.533 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 59.533 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 59.533 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 59.533 * [simplify]: Simplifying (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.534 * * [simplify]: iters left: 6 (15 enodes) 59.544 * * [simplify]: iters left: 5 (69 enodes) 59.569 * * [simplify]: iters left: 4 (133 enodes) 59.606 * * [simplify]: iters left: 3 (274 enodes) 59.677 * * [simplify]: Extracting #0: cost 1 inf + 0 59.677 * * [simplify]: Extracting #1: cost 16 inf + 0 59.677 * * [simplify]: Extracting #2: cost 102 inf + 0 59.678 * * [simplify]: Extracting #3: cost 181 inf + 4 59.683 * * [simplify]: Extracting #4: cost 184 inf + 2875 59.689 * * [simplify]: Extracting #5: cost 101 inf + 17179 59.697 * * [simplify]: Extracting #6: cost 18 inf + 41749 59.704 * * [simplify]: Extracting #7: cost 1 inf + 47184 59.712 * * [simplify]: Extracting #8: cost 0 inf + 47611 59.720 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 59.720 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 59.720 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 59.720 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 59.720 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 59.720 * [simplify]: Simplifying (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.721 * * [simplify]: iters left: 6 (17 enodes) 59.728 * * [simplify]: iters left: 5 (82 enodes) 59.757 * * [simplify]: iters left: 4 (187 enodes) 59.827 * * [simplify]: Extracting #0: cost 1 inf + 0 59.827 * * [simplify]: Extracting #1: cost 36 inf + 0 59.828 * * [simplify]: Extracting #2: cost 147 inf + 1 59.829 * * [simplify]: Extracting #3: cost 161 inf + 2071 59.831 * * [simplify]: Extracting #4: cost 151 inf + 4860 59.835 * * [simplify]: Extracting #5: cost 101 inf + 20649 59.852 * * [simplify]: Extracting #6: cost 13 inf + 77646 59.874 * * [simplify]: Extracting #7: cost 0 inf + 88763 59.898 * * [simplify]: Extracting #8: cost 0 inf + 88685 59.918 * [simplify]: Simplified to (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 59.918 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 59.918 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 59.918 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 59.918 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 59.919 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 59.919 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 59.919 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.919 * * [simplify]: iters left: 6 (15 enodes) 59.924 * * [simplify]: iters left: 5 (65 enodes) 59.936 * * [simplify]: iters left: 4 (111 enodes) 59.963 * * [simplify]: iters left: 3 (190 enodes) 60.036 * * [simplify]: iters left: 2 (358 enodes) 60.181 * * [simplify]: Extracting #0: cost 1 inf + 0 60.182 * * [simplify]: Extracting #1: cost 22 inf + 0 60.182 * * [simplify]: Extracting #2: cost 80 inf + 0 60.183 * * [simplify]: Extracting #3: cost 92 inf + 7 60.184 * * [simplify]: Extracting #4: cost 137 inf + 1522 60.186 * * [simplify]: Extracting #5: cost 135 inf + 9284 60.194 * * [simplify]: Extracting #6: cost 63 inf + 35401 60.207 * * [simplify]: Extracting #7: cost 19 inf + 60813 60.225 * * [simplify]: Extracting #8: cost 0 inf + 75234 60.236 * * [simplify]: Extracting #9: cost 0 inf + 74852 60.245 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 60.245 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 60.246 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 60.246 * * [simplify]: iters left: 6 (15 enodes) 60.251 * * [simplify]: iters left: 5 (65 enodes) 60.269 * * [simplify]: iters left: 4 (111 enodes) 60.291 * * [simplify]: iters left: 3 (190 enodes) 60.341 * * [simplify]: iters left: 2 (358 enodes) 60.433 * * [simplify]: Extracting #0: cost 1 inf + 0 60.433 * * [simplify]: Extracting #1: cost 22 inf + 0 60.434 * * [simplify]: Extracting #2: cost 80 inf + 0 60.434 * * [simplify]: Extracting #3: cost 92 inf + 7 60.435 * * [simplify]: Extracting #4: cost 137 inf + 1522 60.438 * * [simplify]: Extracting #5: cost 135 inf + 9284 60.445 * * [simplify]: Extracting #6: cost 63 inf + 35401 60.463 * * [simplify]: Extracting #7: cost 19 inf + 60813 60.481 * * [simplify]: Extracting #8: cost 0 inf + 75234 60.500 * * [simplify]: Extracting #9: cost 0 inf + 74852 60.518 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 60.518 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 60.518 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 60.519 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 60.519 * * [simplify]: iters left: 6 (15 enodes) 60.528 * * [simplify]: iters left: 5 (68 enodes) 60.554 * * [simplify]: iters left: 4 (125 enodes) 60.601 * * [simplify]: iters left: 3 (246 enodes) 60.664 * * [simplify]: Extracting #0: cost 1 inf + 0 60.664 * * [simplify]: Extracting #1: cost 32 inf + 0 60.665 * * [simplify]: Extracting #2: cost 114 inf + 0 60.665 * * [simplify]: Extracting #3: cost 148 inf + 5 60.666 * * [simplify]: Extracting #4: cost 145 inf + 1442 60.668 * * [simplify]: Extracting #5: cost 84 inf + 22762 60.675 * * [simplify]: Extracting #6: cost 8 inf + 70872 60.687 * * [simplify]: Extracting #7: cost 0 inf + 73751 60.698 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 60.698 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 60.699 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 60.699 * * [simplify]: iters left: 6 (15 enodes) 60.708 * * [simplify]: iters left: 5 (68 enodes) 60.730 * * [simplify]: iters left: 4 (125 enodes) 60.755 * * [simplify]: iters left: 3 (246 enodes) 60.826 * * [simplify]: Extracting #0: cost 1 inf + 0 60.826 * * [simplify]: Extracting #1: cost 32 inf + 0 60.827 * * [simplify]: Extracting #2: cost 114 inf + 0 60.827 * * [simplify]: Extracting #3: cost 148 inf + 5 60.828 * * [simplify]: Extracting #4: cost 145 inf + 1442 60.830 * * [simplify]: Extracting #5: cost 84 inf + 22762 60.841 * * [simplify]: Extracting #6: cost 8 inf + 70872 60.859 * * [simplify]: Extracting #7: cost 0 inf + 73751 60.881 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 60.881 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 60.881 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 60.882 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 60.882 * * [simplify]: iters left: 6 (15 enodes) 60.892 * * [simplify]: iters left: 5 (65 enodes) 60.908 * * [simplify]: iters left: 4 (108 enodes) 60.929 * * [simplify]: iters left: 3 (179 enodes) 60.965 * * [simplify]: iters left: 2 (315 enodes) 61.040 * * [simplify]: Extracting #0: cost 1 inf + 0 61.040 * * [simplify]: Extracting #1: cost 4 inf + 0 61.040 * * [simplify]: Extracting #2: cost 10 inf + 0 61.040 * * [simplify]: Extracting #3: cost 40 inf + 0 61.040 * * [simplify]: Extracting #4: cost 114 inf + 4 61.041 * * [simplify]: Extracting #5: cost 116 inf + 3942 61.043 * * [simplify]: Extracting #6: cost 63 inf + 15090 61.046 * * [simplify]: Extracting #7: cost 16 inf + 32664 61.054 * * [simplify]: Extracting #8: cost 2 inf + 40800 61.059 * * [simplify]: Extracting #9: cost 0 inf + 41984 61.065 * * [simplify]: Extracting #10: cost 0 inf + 41862 61.071 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 61.071 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 61.072 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.072 * * [simplify]: iters left: 6 (15 enodes) 61.081 * * [simplify]: iters left: 5 (65 enodes) 61.105 * * [simplify]: iters left: 4 (108 enodes) 61.143 * * [simplify]: iters left: 3 (179 enodes) 61.210 * * [simplify]: iters left: 2 (315 enodes) 61.297 * * [simplify]: Extracting #0: cost 1 inf + 0 61.298 * * [simplify]: Extracting #1: cost 4 inf + 0 61.298 * * [simplify]: Extracting #2: cost 10 inf + 0 61.298 * * [simplify]: Extracting #3: cost 40 inf + 0 61.298 * * [simplify]: Extracting #4: cost 114 inf + 4 61.300 * * [simplify]: Extracting #5: cost 116 inf + 3942 61.303 * * [simplify]: Extracting #6: cost 63 inf + 15090 61.313 * * [simplify]: Extracting #7: cost 16 inf + 32664 61.322 * * [simplify]: Extracting #8: cost 2 inf + 40800 61.332 * * [simplify]: Extracting #9: cost 0 inf + 41984 61.343 * * [simplify]: Extracting #10: cost 0 inf + 41862 61.352 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 61.352 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 61.353 * * * * [progress]: [ 86 / 112 ] simplifiying candidate # 61.353 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 61.353 * * [simplify]: iters left: 6 (15 enodes) 61.363 * * [simplify]: iters left: 5 (68 enodes) 61.376 * * [simplify]: iters left: 4 (118 enodes) 61.402 * * [simplify]: iters left: 3 (208 enodes) 61.472 * * [simplify]: iters left: 2 (412 enodes) 61.616 * * [simplify]: Extracting #0: cost 1 inf + 0 61.616 * * [simplify]: Extracting #1: cost 36 inf + 0 61.616 * * [simplify]: Extracting #2: cost 106 inf + 0 61.617 * * [simplify]: Extracting #3: cost 169 inf + 2 61.618 * * [simplify]: Extracting #4: cost 193 inf + 984 61.620 * * [simplify]: Extracting #5: cost 145 inf + 9064 61.626 * * [simplify]: Extracting #6: cost 49 inf + 51280 61.638 * * [simplify]: Extracting #7: cost 4 inf + 89226 61.661 * * [simplify]: Extracting #8: cost 0 inf + 92777 61.683 * * [simplify]: Extracting #9: cost 0 inf + 92654 61.695 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 61.695 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 61.695 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 61.695 * * [simplify]: iters left: 6 (15 enodes) 61.701 * * [simplify]: iters left: 5 (68 enodes) 61.716 * * [simplify]: iters left: 4 (118 enodes) 61.740 * * [simplify]: iters left: 3 (208 enodes) 61.816 * * [simplify]: iters left: 2 (412 enodes) 61.957 * * [simplify]: Extracting #0: cost 1 inf + 0 61.957 * * [simplify]: Extracting #1: cost 36 inf + 0 61.957 * * [simplify]: Extracting #2: cost 106 inf + 0 61.958 * * [simplify]: Extracting #3: cost 169 inf + 2 61.960 * * [simplify]: Extracting #4: cost 193 inf + 984 61.963 * * [simplify]: Extracting #5: cost 145 inf + 9064 61.974 * * [simplify]: Extracting #6: cost 49 inf + 51280 61.995 * * [simplify]: Extracting #7: cost 4 inf + 89226 62.011 * * [simplify]: Extracting #8: cost 0 inf + 92777 62.026 * * [simplify]: Extracting #9: cost 0 inf + 92654 62.050 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 62.050 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 62.050 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 62.050 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 62.051 * * [simplify]: iters left: 6 (15 enodes) 62.057 * * [simplify]: iters left: 5 (66 enodes) 62.070 * * [simplify]: iters left: 4 (117 enodes) 62.101 * * [simplify]: iters left: 3 (207 enodes) 62.164 * * [simplify]: iters left: 2 (392 enodes) 62.271 * * [simplify]: Extracting #0: cost 1 inf + 0 62.271 * * [simplify]: Extracting #1: cost 27 inf + 0 62.272 * * [simplify]: Extracting #2: cost 83 inf + 0 62.273 * * [simplify]: Extracting #3: cost 93 inf + 8 62.274 * * [simplify]: Extracting #4: cost 127 inf + 6427 62.277 * * [simplify]: Extracting #5: cost 129 inf + 13260 62.283 * * [simplify]: Extracting #6: cost 75 inf + 27993 62.294 * * [simplify]: Extracting #7: cost 30 inf + 54942 62.302 * * [simplify]: Extracting #8: cost 0 inf + 76455 62.315 * * [simplify]: Extracting #9: cost 0 inf + 75720 62.324 * * [simplify]: Extracting #10: cost 0 inf + 75458 62.342 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 62.342 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 62.342 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 62.342 * * [simplify]: iters left: 6 (15 enodes) 62.351 * * [simplify]: iters left: 5 (66 enodes) 62.365 * * [simplify]: iters left: 4 (117 enodes) 62.393 * * [simplify]: iters left: 3 (207 enodes) 62.457 * * [simplify]: iters left: 2 (392 enodes) 62.565 * * [simplify]: Extracting #0: cost 1 inf + 0 62.565 * * [simplify]: Extracting #1: cost 27 inf + 0 62.565 * * [simplify]: Extracting #2: cost 83 inf + 0 62.566 * * [simplify]: Extracting #3: cost 93 inf + 8 62.566 * * [simplify]: Extracting #4: cost 127 inf + 6427 62.568 * * [simplify]: Extracting #5: cost 129 inf + 13260 62.571 * * [simplify]: Extracting #6: cost 75 inf + 27993 62.577 * * [simplify]: Extracting #7: cost 30 inf + 54942 62.586 * * [simplify]: Extracting #8: cost 0 inf + 76455 62.595 * * [simplify]: Extracting #9: cost 0 inf + 75720 62.611 * * [simplify]: Extracting #10: cost 0 inf + 75458 62.620 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 62.620 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 62.620 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 62.620 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 62.620 * * [simplify]: iters left: 6 (15 enodes) 62.626 * * [simplify]: iters left: 5 (69 enodes) 62.640 * * [simplify]: iters left: 4 (131 enodes) 62.680 * * [simplify]: iters left: 3 (262 enodes) 62.772 * * [simplify]: Extracting #0: cost 1 inf + 0 62.772 * * [simplify]: Extracting #1: cost 32 inf + 0 62.773 * * [simplify]: Extracting #2: cost 113 inf + 0 62.774 * * [simplify]: Extracting #3: cost 145 inf + 6 62.775 * * [simplify]: Extracting #4: cost 131 inf + 4394 62.782 * * [simplify]: Extracting #5: cost 59 inf + 34433 62.796 * * [simplify]: Extracting #6: cost 4 inf + 65966 62.805 * * [simplify]: Extracting #7: cost 0 inf + 69228 62.816 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 62.817 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 62.817 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 62.817 * * [simplify]: iters left: 6 (15 enodes) 62.823 * * [simplify]: iters left: 5 (69 enodes) 62.846 * * [simplify]: iters left: 4 (131 enodes) 62.897 * * [simplify]: iters left: 3 (262 enodes) 62.991 * * [simplify]: Extracting #0: cost 1 inf + 0 62.991 * * [simplify]: Extracting #1: cost 32 inf + 0 62.992 * * [simplify]: Extracting #2: cost 113 inf + 0 62.993 * * [simplify]: Extracting #3: cost 145 inf + 6 62.994 * * [simplify]: Extracting #4: cost 131 inf + 4394 63.001 * * [simplify]: Extracting #5: cost 59 inf + 34433 63.015 * * [simplify]: Extracting #6: cost 4 inf + 65966 63.031 * * [simplify]: Extracting #7: cost 0 inf + 69228 63.048 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 63.048 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 63.048 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 63.048 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 63.048 * * [simplify]: iters left: 5 (7 enodes) 63.053 * * [simplify]: iters left: 4 (32 enodes) 63.067 * * [simplify]: iters left: 3 (57 enodes) 63.078 * * [simplify]: iters left: 2 (88 enodes) 63.094 * * [simplify]: iters left: 1 (156 enodes) 63.143 * * [simplify]: Extracting #0: cost 1 inf + 0 63.143 * * [simplify]: Extracting #1: cost 13 inf + 0 63.144 * * [simplify]: Extracting #2: cost 49 inf + 2 63.144 * * [simplify]: Extracting #3: cost 80 inf + 6 63.144 * * [simplify]: Extracting #4: cost 58 inf + 1840 63.146 * * [simplify]: Extracting #5: cost 22 inf + 9206 63.149 * * [simplify]: Extracting #6: cost 1 inf + 20886 63.152 * * [simplify]: Extracting #7: cost 0 inf + 21301 63.155 * * [simplify]: Extracting #8: cost 0 inf + 21130 63.160 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 63.160 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 63.160 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 63.160 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 63.160 * * [simplify]: iters left: 6 (11 enodes) 63.164 * * [simplify]: iters left: 5 (48 enodes) 63.172 * * [simplify]: iters left: 4 (77 enodes) 63.187 * * [simplify]: iters left: 3 (118 enodes) 63.231 * * [simplify]: iters left: 2 (206 enodes) 63.302 * * [simplify]: iters left: 1 (370 enodes) 63.464 * * [simplify]: Extracting #0: cost 1 inf + 0 63.464 * * [simplify]: Extracting #1: cost 3 inf + 0 63.464 * * [simplify]: Extracting #2: cost 27 inf + 0 63.465 * * [simplify]: Extracting #3: cost 102 inf + 1 63.466 * * [simplify]: Extracting #4: cost 162 inf + 134 63.468 * * [simplify]: Extracting #5: cost 156 inf + 519 63.471 * * [simplify]: Extracting #6: cost 94 inf + 9125 63.481 * * [simplify]: Extracting #7: cost 36 inf + 32718 63.500 * * [simplify]: Extracting #8: cost 2 inf + 60006 63.511 * * [simplify]: Extracting #9: cost 0 inf + 59623 63.524 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 63.524 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 63.524 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 63.525 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 63.525 * * [simplify]: iters left: 6 (11 enodes) 63.531 * * [simplify]: iters left: 5 (48 enodes) 63.547 * * [simplify]: iters left: 4 (78 enodes) 63.573 * * [simplify]: iters left: 3 (119 enodes) 63.616 * * [simplify]: iters left: 2 (210 enodes) 63.677 * * [simplify]: iters left: 1 (383 enodes) 63.829 * * [simplify]: Extracting #0: cost 1 inf + 0 63.829 * * [simplify]: Extracting #1: cost 4 inf + 0 63.829 * * [simplify]: Extracting #2: cost 28 inf + 0 63.829 * * [simplify]: Extracting #3: cost 110 inf + 1 63.830 * * [simplify]: Extracting #4: cost 152 inf + 178 63.831 * * [simplify]: Extracting #5: cost 142 inf + 935 63.833 * * [simplify]: Extracting #6: cost 87 inf + 7703 63.838 * * [simplify]: Extracting #7: cost 23 inf + 38047 63.850 * * [simplify]: Extracting #8: cost 1 inf + 56893 63.868 * * [simplify]: Extracting #9: cost 0 inf + 58062 63.886 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 63.887 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.887 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 63.887 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 63.887 * * [simplify]: iters left: 5 (10 enodes) 63.893 * * [simplify]: iters left: 4 (45 enodes) 63.909 * * [simplify]: iters left: 3 (78 enodes) 63.934 * * [simplify]: iters left: 2 (118 enodes) 63.957 * * [simplify]: iters left: 1 (191 enodes) 64.010 * * [simplify]: Extracting #0: cost 1 inf + 0 64.010 * * [simplify]: Extracting #1: cost 13 inf + 0 64.011 * * [simplify]: Extracting #2: cost 59 inf + 1 64.011 * * [simplify]: Extracting #3: cost 91 inf + 7 64.012 * * [simplify]: Extracting #4: cost 83 inf + 556 64.015 * * [simplify]: Extracting #5: cost 33 inf + 11764 64.023 * * [simplify]: Extracting #6: cost 0 inf + 23469 64.032 * * [simplify]: Extracting #7: cost 0 inf + 23146 64.041 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 64.041 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 64.042 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 64.042 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 64.042 * * [simplify]: iters left: 6 (11 enodes) 64.050 * * [simplify]: iters left: 5 (51 enodes) 64.068 * * [simplify]: iters left: 4 (87 enodes) 64.101 * * [simplify]: iters left: 3 (143 enodes) 64.151 * * [simplify]: iters left: 2 (259 enodes) 64.233 * * [simplify]: iters left: 1 (469 enodes) 64.468 * * [simplify]: Extracting #0: cost 1 inf + 0 64.468 * * [simplify]: Extracting #1: cost 23 inf + 0 64.469 * * [simplify]: Extracting #2: cost 109 inf + 1 64.470 * * [simplify]: Extracting #3: cost 194 inf + 137 64.473 * * [simplify]: Extracting #4: cost 176 inf + 2344 64.477 * * [simplify]: Extracting #5: cost 80 inf + 17283 64.486 * * [simplify]: Extracting #6: cost 12 inf + 52046 64.497 * * [simplify]: Extracting #7: cost 0 inf + 61992 64.516 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 64.516 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 64.516 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 64.516 * [simplify]: Simplifying (pow (* (cbrt k) (cbrt k)) -1/2) 64.516 * * [simplify]: iters left: 4 (5 enodes) 64.518 * * [simplify]: iters left: 3 (20 enodes) 64.522 * * [simplify]: iters left: 2 (34 enodes) 64.530 * * [simplify]: iters left: 1 (64 enodes) 64.545 * * [simplify]: Extracting #0: cost 1 inf + 0 64.545 * * [simplify]: Extracting #1: cost 9 inf + 0 64.545 * * [simplify]: Extracting #2: cost 23 inf + 1 64.545 * * [simplify]: Extracting #3: cost 22 inf + 5 64.545 * * [simplify]: Extracting #4: cost 18 inf + 169 64.546 * * [simplify]: Extracting #5: cost 9 inf + 3237 64.547 * * [simplify]: Extracting #6: cost 0 inf + 7611 64.548 * [simplify]: Simplified to (pow (* (cbrt k) (cbrt k)) -1/2) 64.548 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 64.548 * * * * [progress]: [ 95 / 112 ] simplifiying candidate # 64.548 * [simplify]: Simplifying (pow (sqrt k) -1/2) 64.549 * * [simplify]: iters left: 2 (4 enodes) 64.551 * * [simplify]: iters left: 1 (17 enodes) 64.558 * * [simplify]: Extracting #0: cost 1 inf + 0 64.558 * * [simplify]: Extracting #1: cost 5 inf + 0 64.558 * * [simplify]: Extracting #2: cost 9 inf + 1 64.559 * * [simplify]: Extracting #3: cost 8 inf + 3 64.559 * * [simplify]: Extracting #4: cost 1 inf + 1094 64.559 * * [simplify]: Extracting #5: cost 0 inf + 1346 64.559 * [simplify]: Simplified to (pow (sqrt k) -1/2) 64.559 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 64.559 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 64.560 * [simplify]: Simplifying (pow 1 -1/2) 64.560 * * [simplify]: iters left: 1 (3 enodes) 64.562 * * [simplify]: Extracting #0: cost 1 inf + 0 64.562 * * [simplify]: Extracting #1: cost 0 inf + 1 64.562 * [simplify]: Simplified to 1 64.562 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 64.562 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 64.562 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 64.562 * * [simplify]: iters left: 4 (5 enodes) 64.564 * * [simplify]: iters left: 3 (20 enodes) 64.570 * * [simplify]: iters left: 2 (34 enodes) 64.578 * * [simplify]: iters left: 1 (64 enodes) 64.591 * * [simplify]: Extracting #0: cost 1 inf + 0 64.591 * * [simplify]: Extracting #1: cost 3 inf + 0 64.591 * * [simplify]: Extracting #2: cost 5 inf + 0 64.591 * * [simplify]: Extracting #3: cost 13 inf + 0 64.591 * * [simplify]: Extracting #4: cost 24 inf + 2 64.591 * * [simplify]: Extracting #5: cost 15 inf + 1558 64.592 * * [simplify]: Extracting #6: cost 6 inf + 4299 64.592 * * [simplify]: Extracting #7: cost 0 inf + 6535 64.593 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 64.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 64.593 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 64.593 * [simplify]: Simplifying (sqrt (pow k -1/2)) 64.593 * * [simplify]: iters left: 2 (4 enodes) 64.596 * * [simplify]: iters left: 1 (17 enodes) 64.604 * * [simplify]: Extracting #0: cost 1 inf + 0 64.604 * * [simplify]: Extracting #1: cost 4 inf + 0 64.604 * * [simplify]: Extracting #2: cost 10 inf + 0 64.604 * * [simplify]: Extracting #3: cost 8 inf + 3 64.604 * * [simplify]: Extracting #4: cost 1 inf + 1356 64.604 * * [simplify]: Extracting #5: cost 0 inf + 1568 64.605 * [simplify]: Simplified to (sqrt (pow k -1/2)) 64.605 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 64.605 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 64.605 * * * * [progress]: [ 100 / 112 ] simplifiying candidate # 64.605 * [simplify]: Simplifying (pow k (/ -1/2 2)) 64.605 * * [simplify]: iters left: 3 (5 enodes) 64.609 * * [simplify]: iters left: 2 (20 enodes) 64.621 * * [simplify]: iters left: 1 (37 enodes) 64.638 * * [simplify]: Extracting #0: cost 1 inf + 0 64.639 * * [simplify]: Extracting #1: cost 9 inf + 0 64.639 * * [simplify]: Extracting #2: cost 12 inf + 2 64.639 * * [simplify]: Extracting #3: cost 7 inf + 852 64.639 * * [simplify]: Extracting #4: cost 0 inf + 2667 64.639 * [simplify]: Simplified to (pow k -1/4) 64.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow k -1/4) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 64.640 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 64.640 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 64.640 * * [simplify]: iters left: 5 (8 enodes) 64.644 * * [simplify]: iters left: 4 (31 enodes) 64.655 * * [simplify]: iters left: 3 (51 enodes) 64.671 * * [simplify]: iters left: 2 (85 enodes) 64.699 * * [simplify]: iters left: 1 (152 enodes) 64.748 * * [simplify]: Extracting #0: cost 1 inf + 0 64.749 * * [simplify]: Extracting #1: cost 13 inf + 0 64.749 * * [simplify]: Extracting #2: cost 60 inf + 1 64.749 * * [simplify]: Extracting #3: cost 76 inf + 51 64.750 * * [simplify]: Extracting #4: cost 44 inf + 2846 64.751 * * [simplify]: Extracting #5: cost 21 inf + 7590 64.755 * * [simplify]: Extracting #6: cost 1 inf + 20687 64.758 * * [simplify]: Extracting #7: cost 0 inf + 20539 64.761 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 64.761 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 64.761 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 64.761 * * * * [progress]: [ 103 / 112 ] simplifiying candidate # 64.761 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 64.761 * [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))))) 64.761 * * [simplify]: iters left: 6 (37 enodes) 64.772 * * [simplify]: iters left: 5 (187 enodes) 64.813 * * [simplify]: iters left: 4 (488 enodes) 65.044 * * [simplify]: Extracting #0: cost 1 inf + 0 65.045 * * [simplify]: Extracting #1: cost 57 inf + 0 65.046 * * [simplify]: Extracting #2: cost 294 inf + 0 65.050 * * [simplify]: Extracting #3: cost 524 inf + 199 65.056 * * [simplify]: Extracting #4: cost 512 inf + 6095 65.068 * * [simplify]: Extracting #5: cost 310 inf + 78036 65.115 * * [simplify]: Extracting #6: cost 40 inf + 220622 65.227 * * [simplify]: Extracting #7: cost 0 inf + 244981 65.332 * * [simplify]: Extracting #8: cost 0 inf + 243455 65.410 * * [simplify]: Extracting #9: cost 0 inf + 243454 65.517 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 65.517 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 65.517 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 65.518 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 65.518 * * [simplify]: iters left: 6 (15 enodes) 65.528 * * [simplify]: iters left: 5 (65 enodes) 65.551 * * [simplify]: iters left: 4 (123 enodes) 65.607 * * [simplify]: iters left: 3 (361 enodes) 65.824 * * [simplify]: Extracting #0: cost 1 inf + 0 65.824 * * [simplify]: Extracting #1: cost 37 inf + 0 65.824 * * [simplify]: Extracting #2: cost 213 inf + 72 65.826 * * [simplify]: Extracting #3: cost 350 inf + 1716 65.830 * * [simplify]: Extracting #4: cost 221 inf + 30028 65.844 * * [simplify]: Extracting #5: cost 33 inf + 78046 65.859 * * [simplify]: Extracting #6: cost 1 inf + 88785 65.895 * * [simplify]: Extracting #7: cost 0 inf + 88926 65.925 * * [simplify]: Extracting #8: cost 0 inf + 88841 65.956 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 65.956 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 65.957 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 65.957 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 65.957 * * [simplify]: iters left: 6 (16 enodes) 65.967 * * [simplify]: iters left: 5 (67 enodes) 65.991 * * [simplify]: iters left: 4 (134 enodes) 66.029 * * [simplify]: iters left: 3 (407 enodes) 66.279 * * [simplify]: Extracting #0: cost 1 inf + 0 66.279 * * [simplify]: Extracting #1: cost 39 inf + 0 66.280 * * [simplify]: Extracting #2: cost 241 inf + 72 66.283 * * [simplify]: Extracting #3: cost 449 inf + 888 66.294 * * [simplify]: Extracting #4: cost 283 inf + 39678 66.328 * * [simplify]: Extracting #5: cost 24 inf + 116942 66.367 * * [simplify]: Extracting #6: cost 0 inf + 121984 66.416 * * [simplify]: Extracting #7: cost 0 inf + 121983 66.450 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 66.450 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 66.450 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 66.451 * [simplify]: Simplifying (* 2 (* n PI)) 66.451 * * [simplify]: iters left: 4 (5 enodes) 66.452 * * [simplify]: iters left: 3 (19 enodes) 66.456 * * [simplify]: iters left: 2 (27 enodes) 66.460 * * [simplify]: iters left: 1 (32 enodes) 66.464 * * [simplify]: Extracting #0: cost 1 inf + 0 66.464 * * [simplify]: Extracting #1: cost 8 inf + 0 66.464 * * [simplify]: Extracting #2: cost 7 inf + 45 66.465 * * [simplify]: Extracting #3: cost 0 inf + 421 66.465 * [simplify]: Simplified to (* (* PI n) 2) 66.465 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 66.465 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 66.465 * [simplify]: Simplifying (* 2 (* n PI)) 66.465 * * [simplify]: iters left: 4 (5 enodes) 66.467 * * [simplify]: iters left: 3 (19 enodes) 66.472 * * [simplify]: iters left: 2 (27 enodes) 66.480 * * [simplify]: iters left: 1 (32 enodes) 66.488 * * [simplify]: Extracting #0: cost 1 inf + 0 66.488 * * [simplify]: Extracting #1: cost 8 inf + 0 66.488 * * [simplify]: Extracting #2: cost 7 inf + 45 66.489 * * [simplify]: Extracting #3: cost 0 inf + 421 66.489 * [simplify]: Simplified to (* (* PI n) 2) 66.489 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 66.489 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 66.489 * [simplify]: Simplifying (* 2 (* n PI)) 66.490 * * [simplify]: iters left: 4 (5 enodes) 66.492 * * [simplify]: iters left: 3 (19 enodes) 66.498 * * [simplify]: iters left: 2 (27 enodes) 66.504 * * [simplify]: iters left: 1 (32 enodes) 66.508 * * [simplify]: Extracting #0: cost 1 inf + 0 66.509 * * [simplify]: Extracting #1: cost 8 inf + 0 66.509 * * [simplify]: Extracting #2: cost 7 inf + 45 66.509 * * [simplify]: Extracting #3: cost 0 inf + 421 66.509 * [simplify]: Simplified to (* (* PI n) 2) 66.509 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 66.509 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 66.509 * [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))))))))))))) 66.509 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 66.510 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 66.510 * [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)))))))) 66.510 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 66.510 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 66.510 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 66.510 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 66.510 * * * [progress]: adding candidates to table 67.672 * * [progress]: iteration 4 / 4 67.672 * * * [progress]: picking best candidate 67.720 * * * * [pick]: Picked # 67.720 * * * [progress]: localizing error 67.770 * * * [progress]: generating rewritten candidates 67.770 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 67.784 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 67.799 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 67.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 67.834 * * * [progress]: generating series expansions 67.834 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 67.835 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 67.835 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 67.835 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 67.835 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 67.835 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 67.835 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 67.835 * [taylor]: Taking taylor expansion of 1/4 in k 67.835 * [backup-simplify]: Simplify 1/4 into 1/4 67.835 * [taylor]: Taking taylor expansion of (- 1 k) in k 67.835 * [taylor]: Taking taylor expansion of 1 in k 67.835 * [backup-simplify]: Simplify 1 into 1 67.835 * [taylor]: Taking taylor expansion of k in k 67.835 * [backup-simplify]: Simplify 0 into 0 67.835 * [backup-simplify]: Simplify 1 into 1 67.835 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 67.835 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 67.835 * [taylor]: Taking taylor expansion of 2 in k 67.835 * [backup-simplify]: Simplify 2 into 2 67.835 * [taylor]: Taking taylor expansion of (* n PI) in k 67.835 * [taylor]: Taking taylor expansion of n in k 67.835 * [backup-simplify]: Simplify n into n 67.835 * [taylor]: Taking taylor expansion of PI in k 67.835 * [backup-simplify]: Simplify PI into PI 67.835 * [backup-simplify]: Simplify (* n PI) into (* n PI) 67.835 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 67.835 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 67.835 * [backup-simplify]: Simplify (- 0) into 0 67.836 * [backup-simplify]: Simplify (+ 1 0) into 1 67.836 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 67.836 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 67.836 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 67.836 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 67.836 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 67.836 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 67.836 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 67.836 * [taylor]: Taking taylor expansion of 1/4 in n 67.836 * [backup-simplify]: Simplify 1/4 into 1/4 67.836 * [taylor]: Taking taylor expansion of (- 1 k) in n 67.836 * [taylor]: Taking taylor expansion of 1 in n 67.836 * [backup-simplify]: Simplify 1 into 1 67.836 * [taylor]: Taking taylor expansion of k in n 67.836 * [backup-simplify]: Simplify k into k 67.836 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 67.836 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 67.836 * [taylor]: Taking taylor expansion of 2 in n 67.836 * [backup-simplify]: Simplify 2 into 2 67.836 * [taylor]: Taking taylor expansion of (* n PI) in n 67.836 * [taylor]: Taking taylor expansion of n in n 67.836 * [backup-simplify]: Simplify 0 into 0 67.836 * [backup-simplify]: Simplify 1 into 1 67.836 * [taylor]: Taking taylor expansion of PI in n 67.836 * [backup-simplify]: Simplify PI into PI 67.837 * [backup-simplify]: Simplify (* 0 PI) into 0 67.837 * [backup-simplify]: Simplify (* 2 0) into 0 67.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.839 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 67.839 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.839 * [backup-simplify]: Simplify (- k) into (- k) 67.839 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 67.840 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 67.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.841 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 67.842 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 67.842 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 67.842 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 67.842 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 67.842 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 67.842 * [taylor]: Taking taylor expansion of 1/4 in n 67.842 * [backup-simplify]: Simplify 1/4 into 1/4 67.842 * [taylor]: Taking taylor expansion of (- 1 k) in n 67.842 * [taylor]: Taking taylor expansion of 1 in n 67.842 * [backup-simplify]: Simplify 1 into 1 67.842 * [taylor]: Taking taylor expansion of k in n 67.842 * [backup-simplify]: Simplify k into k 67.842 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 67.842 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 67.842 * [taylor]: Taking taylor expansion of 2 in n 67.842 * [backup-simplify]: Simplify 2 into 2 67.842 * [taylor]: Taking taylor expansion of (* n PI) in n 67.842 * [taylor]: Taking taylor expansion of n in n 67.842 * [backup-simplify]: Simplify 0 into 0 67.842 * [backup-simplify]: Simplify 1 into 1 67.842 * [taylor]: Taking taylor expansion of PI in n 67.842 * [backup-simplify]: Simplify PI into PI 67.842 * [backup-simplify]: Simplify (* 0 PI) into 0 67.843 * [backup-simplify]: Simplify (* 2 0) into 0 67.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 67.844 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 67.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.845 * [backup-simplify]: Simplify (- k) into (- k) 67.845 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 67.845 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 67.846 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.846 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 67.847 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 67.847 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 67.847 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 67.847 * [taylor]: Taking taylor expansion of 1/4 in k 67.847 * [backup-simplify]: Simplify 1/4 into 1/4 67.847 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 67.847 * [taylor]: Taking taylor expansion of (- 1 k) in k 67.847 * [taylor]: Taking taylor expansion of 1 in k 67.847 * [backup-simplify]: Simplify 1 into 1 67.847 * [taylor]: Taking taylor expansion of k in k 67.847 * [backup-simplify]: Simplify 0 into 0 67.847 * [backup-simplify]: Simplify 1 into 1 67.847 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 67.847 * [taylor]: Taking taylor expansion of (log n) in k 67.847 * [taylor]: Taking taylor expansion of n in k 67.847 * [backup-simplify]: Simplify n into n 67.847 * [backup-simplify]: Simplify (log n) into (log n) 67.847 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 67.847 * [taylor]: Taking taylor expansion of (* 2 PI) in k 67.847 * [taylor]: Taking taylor expansion of 2 in k 67.847 * [backup-simplify]: Simplify 2 into 2 67.847 * [taylor]: Taking taylor expansion of PI in k 67.847 * [backup-simplify]: Simplify PI into PI 67.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.848 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.849 * [backup-simplify]: Simplify (- 0) into 0 67.849 * [backup-simplify]: Simplify (+ 1 0) into 1 67.849 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.850 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 67.851 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 67.851 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 67.852 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 67.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 67.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 67.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 67.854 * [backup-simplify]: Simplify (- 0) into 0 67.855 * [backup-simplify]: Simplify (+ 0 0) into 0 67.855 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 67.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.857 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 67.858 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.858 * [taylor]: Taking taylor expansion of 0 in k 67.858 * [backup-simplify]: Simplify 0 into 0 67.858 * [backup-simplify]: Simplify 0 into 0 67.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 67.859 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 67.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 67.860 * [backup-simplify]: Simplify (+ 0 0) into 0 67.860 * [backup-simplify]: Simplify (- 1) into -1 67.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.861 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 67.863 * [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))))) 67.864 * [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))))))) 67.866 * [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))))))) 67.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 67.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 67.869 * [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 67.869 * [backup-simplify]: Simplify (- 0) into 0 67.870 * [backup-simplify]: Simplify (+ 0 0) into 0 67.870 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 67.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 67.872 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 67.873 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.873 * [taylor]: Taking taylor expansion of 0 in k 67.873 * [backup-simplify]: Simplify 0 into 0 67.873 * [backup-simplify]: Simplify 0 into 0 67.873 * [backup-simplify]: Simplify 0 into 0 67.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 67.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 67.877 * [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 67.877 * [backup-simplify]: Simplify (+ 0 0) into 0 67.878 * [backup-simplify]: Simplify (- 0) into 0 67.878 * [backup-simplify]: Simplify (+ 0 0) into 0 67.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 67.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 67.886 * [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))))) 67.895 * [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))))) 67.905 * [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))))))) 67.906 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 67.906 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 67.906 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 67.906 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 67.906 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 67.906 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 67.906 * [taylor]: Taking taylor expansion of 1/4 in k 67.906 * [backup-simplify]: Simplify 1/4 into 1/4 67.906 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 67.906 * [taylor]: Taking taylor expansion of 1 in k 67.906 * [backup-simplify]: Simplify 1 into 1 67.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.906 * [taylor]: Taking taylor expansion of k in k 67.906 * [backup-simplify]: Simplify 0 into 0 67.906 * [backup-simplify]: Simplify 1 into 1 67.906 * [backup-simplify]: Simplify (/ 1 1) into 1 67.907 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 67.907 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 67.907 * [taylor]: Taking taylor expansion of 2 in k 67.907 * [backup-simplify]: Simplify 2 into 2 67.907 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.907 * [taylor]: Taking taylor expansion of PI in k 67.907 * [backup-simplify]: Simplify PI into PI 67.907 * [taylor]: Taking taylor expansion of n in k 67.907 * [backup-simplify]: Simplify n into n 67.907 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.907 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 67.907 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 67.907 * [backup-simplify]: Simplify (- 1) into -1 67.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.908 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 67.908 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 67.909 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 67.909 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 67.909 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 67.909 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 67.909 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 67.909 * [taylor]: Taking taylor expansion of 1/4 in n 67.909 * [backup-simplify]: Simplify 1/4 into 1/4 67.909 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.909 * [taylor]: Taking taylor expansion of 1 in n 67.909 * [backup-simplify]: Simplify 1 into 1 67.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.909 * [taylor]: Taking taylor expansion of k in n 67.909 * [backup-simplify]: Simplify k into k 67.909 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.909 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.909 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.909 * [taylor]: Taking taylor expansion of 2 in n 67.909 * [backup-simplify]: Simplify 2 into 2 67.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.909 * [taylor]: Taking taylor expansion of PI in n 67.909 * [backup-simplify]: Simplify PI into PI 67.909 * [taylor]: Taking taylor expansion of n in n 67.909 * [backup-simplify]: Simplify 0 into 0 67.909 * [backup-simplify]: Simplify 1 into 1 67.910 * [backup-simplify]: Simplify (/ PI 1) into PI 67.910 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.911 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.911 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.912 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.912 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 67.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.914 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.915 * [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))))) 67.915 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 67.915 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 67.915 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 67.915 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 67.915 * [taylor]: Taking taylor expansion of 1/4 in n 67.915 * [backup-simplify]: Simplify 1/4 into 1/4 67.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 67.915 * [taylor]: Taking taylor expansion of 1 in n 67.915 * [backup-simplify]: Simplify 1 into 1 67.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.915 * [taylor]: Taking taylor expansion of k in n 67.915 * [backup-simplify]: Simplify k into k 67.915 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.916 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 67.916 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 67.916 * [taylor]: Taking taylor expansion of 2 in n 67.916 * [backup-simplify]: Simplify 2 into 2 67.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.916 * [taylor]: Taking taylor expansion of PI in n 67.916 * [backup-simplify]: Simplify PI into PI 67.916 * [taylor]: Taking taylor expansion of n in n 67.916 * [backup-simplify]: Simplify 0 into 0 67.916 * [backup-simplify]: Simplify 1 into 1 67.917 * [backup-simplify]: Simplify (/ PI 1) into PI 67.917 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.918 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.918 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 67.918 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 67.918 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 67.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.921 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 67.922 * [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))))) 67.922 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 67.922 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 67.922 * [taylor]: Taking taylor expansion of 1/4 in k 67.922 * [backup-simplify]: Simplify 1/4 into 1/4 67.922 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 67.922 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 67.922 * [taylor]: Taking taylor expansion of 1 in k 67.922 * [backup-simplify]: Simplify 1 into 1 67.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.922 * [taylor]: Taking taylor expansion of k in k 67.922 * [backup-simplify]: Simplify 0 into 0 67.922 * [backup-simplify]: Simplify 1 into 1 67.922 * [backup-simplify]: Simplify (/ 1 1) into 1 67.922 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 67.923 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 67.923 * [taylor]: Taking taylor expansion of (* 2 PI) in k 67.923 * [taylor]: Taking taylor expansion of 2 in k 67.923 * [backup-simplify]: Simplify 2 into 2 67.923 * [taylor]: Taking taylor expansion of PI in k 67.923 * [backup-simplify]: Simplify PI into PI 67.923 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 67.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 67.924 * [taylor]: Taking taylor expansion of (log n) in k 67.924 * [taylor]: Taking taylor expansion of n in k 67.924 * [backup-simplify]: Simplify n into n 67.924 * [backup-simplify]: Simplify (log n) into (log n) 67.925 * [backup-simplify]: Simplify (- 1) into -1 67.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 67.925 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 67.926 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 67.927 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 67.928 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 67.929 * [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))))) 67.930 * [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))))) 67.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.932 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 67.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 67.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.934 * [backup-simplify]: Simplify (- 0) into 0 67.935 * [backup-simplify]: Simplify (+ 0 0) into 0 67.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 67.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.937 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 67.939 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.939 * [taylor]: Taking taylor expansion of 0 in k 67.939 * [backup-simplify]: Simplify 0 into 0 67.939 * [backup-simplify]: Simplify 0 into 0 67.940 * [backup-simplify]: Simplify 0 into 0 67.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 67.945 * [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 67.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 67.945 * [backup-simplify]: Simplify (- 0) into 0 67.946 * [backup-simplify]: Simplify (+ 0 0) into 0 67.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 67.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.950 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 67.952 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.952 * [taylor]: Taking taylor expansion of 0 in k 67.952 * [backup-simplify]: Simplify 0 into 0 67.952 * [backup-simplify]: Simplify 0 into 0 67.952 * [backup-simplify]: Simplify 0 into 0 67.952 * [backup-simplify]: Simplify 0 into 0 67.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 67.960 * [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 67.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 67.961 * [backup-simplify]: Simplify (- 0) into 0 67.961 * [backup-simplify]: Simplify (+ 0 0) into 0 67.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 67.964 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 67.966 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 67.969 * [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 67.969 * [taylor]: Taking taylor expansion of 0 in k 67.969 * [backup-simplify]: Simplify 0 into 0 67.969 * [backup-simplify]: Simplify 0 into 0 67.970 * [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)))))) 67.971 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 67.971 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 67.971 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 67.971 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 67.971 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 67.971 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 67.971 * [taylor]: Taking taylor expansion of 1/4 in k 67.971 * [backup-simplify]: Simplify 1/4 into 1/4 67.971 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 67.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.971 * [taylor]: Taking taylor expansion of k in k 67.972 * [backup-simplify]: Simplify 0 into 0 67.972 * [backup-simplify]: Simplify 1 into 1 67.972 * [backup-simplify]: Simplify (/ 1 1) into 1 67.972 * [taylor]: Taking taylor expansion of 1 in k 67.972 * [backup-simplify]: Simplify 1 into 1 67.972 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 67.972 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 67.972 * [taylor]: Taking taylor expansion of -2 in k 67.972 * [backup-simplify]: Simplify -2 into -2 67.972 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.972 * [taylor]: Taking taylor expansion of PI in k 67.972 * [backup-simplify]: Simplify PI into PI 67.972 * [taylor]: Taking taylor expansion of n in k 67.972 * [backup-simplify]: Simplify n into n 67.972 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.972 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 67.972 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 67.973 * [backup-simplify]: Simplify (+ 1 0) into 1 67.973 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 67.973 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 67.974 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 67.974 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 67.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 67.974 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 67.974 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 67.974 * [taylor]: Taking taylor expansion of 1/4 in n 67.974 * [backup-simplify]: Simplify 1/4 into 1/4 67.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.974 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.974 * [taylor]: Taking taylor expansion of k in n 67.974 * [backup-simplify]: Simplify k into k 67.974 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.974 * [taylor]: Taking taylor expansion of 1 in n 67.974 * [backup-simplify]: Simplify 1 into 1 67.974 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.974 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.974 * [taylor]: Taking taylor expansion of -2 in n 67.974 * [backup-simplify]: Simplify -2 into -2 67.974 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.974 * [taylor]: Taking taylor expansion of PI in n 67.974 * [backup-simplify]: Simplify PI into PI 67.974 * [taylor]: Taking taylor expansion of n in n 67.974 * [backup-simplify]: Simplify 0 into 0 67.974 * [backup-simplify]: Simplify 1 into 1 67.975 * [backup-simplify]: Simplify (/ PI 1) into PI 67.975 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.977 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.977 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.977 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 67.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.979 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.980 * [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))))) 67.980 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 67.980 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 67.980 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 67.980 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 67.980 * [taylor]: Taking taylor expansion of 1/4 in n 67.981 * [backup-simplify]: Simplify 1/4 into 1/4 67.981 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.981 * [taylor]: Taking taylor expansion of k in n 67.981 * [backup-simplify]: Simplify k into k 67.981 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.981 * [taylor]: Taking taylor expansion of 1 in n 67.981 * [backup-simplify]: Simplify 1 into 1 67.981 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.981 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.981 * [taylor]: Taking taylor expansion of -2 in n 67.981 * [backup-simplify]: Simplify -2 into -2 67.981 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.981 * [taylor]: Taking taylor expansion of PI in n 67.981 * [backup-simplify]: Simplify PI into PI 67.981 * [taylor]: Taking taylor expansion of n in n 67.981 * [backup-simplify]: Simplify 0 into 0 67.981 * [backup-simplify]: Simplify 1 into 1 67.981 * [backup-simplify]: Simplify (/ PI 1) into PI 67.982 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.983 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.983 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.984 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 67.985 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.987 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.988 * [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))))) 67.988 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 67.988 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 67.988 * [taylor]: Taking taylor expansion of 1/4 in k 67.988 * [backup-simplify]: Simplify 1/4 into 1/4 67.988 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 67.988 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 67.988 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.988 * [taylor]: Taking taylor expansion of k in k 67.988 * [backup-simplify]: Simplify 0 into 0 67.988 * [backup-simplify]: Simplify 1 into 1 67.989 * [backup-simplify]: Simplify (/ 1 1) into 1 67.989 * [taylor]: Taking taylor expansion of 1 in k 67.989 * [backup-simplify]: Simplify 1 into 1 67.989 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 67.989 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 67.989 * [taylor]: Taking taylor expansion of (* -2 PI) in k 67.989 * [taylor]: Taking taylor expansion of -2 in k 67.989 * [backup-simplify]: Simplify -2 into -2 67.989 * [taylor]: Taking taylor expansion of PI in k 67.989 * [backup-simplify]: Simplify PI into PI 67.989 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.990 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.990 * [taylor]: Taking taylor expansion of (log n) in k 67.990 * [taylor]: Taking taylor expansion of n in k 67.990 * [backup-simplify]: Simplify n into n 67.990 * [backup-simplify]: Simplify (log n) into (log n) 67.991 * [backup-simplify]: Simplify (+ 1 0) into 1 67.991 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 67.992 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 67.993 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 67.994 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 67.995 * [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))))) 67.996 * [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))))) 67.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.998 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 68.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 68.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 68.000 * [backup-simplify]: Simplify (+ 0 0) into 0 68.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 68.002 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.004 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 68.005 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.006 * [taylor]: Taking taylor expansion of 0 in k 68.006 * [backup-simplify]: Simplify 0 into 0 68.006 * [backup-simplify]: Simplify 0 into 0 68.006 * [backup-simplify]: Simplify 0 into 0 68.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.008 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 68.011 * [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 68.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 68.012 * [backup-simplify]: Simplify (+ 0 0) into 0 68.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 68.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.014 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 68.016 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.016 * [taylor]: Taking taylor expansion of 0 in k 68.016 * [backup-simplify]: Simplify 0 into 0 68.016 * [backup-simplify]: Simplify 0 into 0 68.016 * [backup-simplify]: Simplify 0 into 0 68.016 * [backup-simplify]: Simplify 0 into 0 68.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.017 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 68.020 * [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 68.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 68.021 * [backup-simplify]: Simplify (+ 0 0) into 0 68.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 68.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.023 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 68.025 * [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 68.025 * [taylor]: Taking taylor expansion of 0 in k 68.025 * [backup-simplify]: Simplify 0 into 0 68.025 * [backup-simplify]: Simplify 0 into 0 68.026 * [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)))))) 68.026 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 68.028 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 68.028 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 68.028 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 68.028 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 68.028 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 68.028 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 68.028 * [taylor]: Taking taylor expansion of 1/4 in k 68.028 * [backup-simplify]: Simplify 1/4 into 1/4 68.028 * [taylor]: Taking taylor expansion of (- 1 k) in k 68.028 * [taylor]: Taking taylor expansion of 1 in k 68.028 * [backup-simplify]: Simplify 1 into 1 68.028 * [taylor]: Taking taylor expansion of k in k 68.028 * [backup-simplify]: Simplify 0 into 0 68.028 * [backup-simplify]: Simplify 1 into 1 68.028 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 68.028 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 68.028 * [taylor]: Taking taylor expansion of 2 in k 68.028 * [backup-simplify]: Simplify 2 into 2 68.028 * [taylor]: Taking taylor expansion of (* n PI) in k 68.028 * [taylor]: Taking taylor expansion of n in k 68.028 * [backup-simplify]: Simplify n into n 68.028 * [taylor]: Taking taylor expansion of PI in k 68.028 * [backup-simplify]: Simplify PI into PI 68.028 * [backup-simplify]: Simplify (* n PI) into (* n PI) 68.028 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 68.028 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 68.029 * [backup-simplify]: Simplify (- 0) into 0 68.029 * [backup-simplify]: Simplify (+ 1 0) into 1 68.029 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 68.029 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 68.029 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 68.029 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 68.029 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 68.029 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 68.029 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 68.029 * [taylor]: Taking taylor expansion of 1/4 in n 68.029 * [backup-simplify]: Simplify 1/4 into 1/4 68.030 * [taylor]: Taking taylor expansion of (- 1 k) in n 68.030 * [taylor]: Taking taylor expansion of 1 in n 68.030 * [backup-simplify]: Simplify 1 into 1 68.030 * [taylor]: Taking taylor expansion of k in n 68.030 * [backup-simplify]: Simplify k into k 68.030 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 68.030 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 68.030 * [taylor]: Taking taylor expansion of 2 in n 68.030 * [backup-simplify]: Simplify 2 into 2 68.030 * [taylor]: Taking taylor expansion of (* n PI) in n 68.030 * [taylor]: Taking taylor expansion of n in n 68.030 * [backup-simplify]: Simplify 0 into 0 68.030 * [backup-simplify]: Simplify 1 into 1 68.030 * [taylor]: Taking taylor expansion of PI in n 68.030 * [backup-simplify]: Simplify PI into PI 68.030 * [backup-simplify]: Simplify (* 0 PI) into 0 68.030 * [backup-simplify]: Simplify (* 2 0) into 0 68.031 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 68.032 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 68.033 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 68.033 * [backup-simplify]: Simplify (- k) into (- k) 68.033 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 68.033 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 68.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 68.034 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 68.035 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 68.035 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 68.035 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 68.035 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 68.035 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 68.035 * [taylor]: Taking taylor expansion of 1/4 in n 68.035 * [backup-simplify]: Simplify 1/4 into 1/4 68.035 * [taylor]: Taking taylor expansion of (- 1 k) in n 68.035 * [taylor]: Taking taylor expansion of 1 in n 68.035 * [backup-simplify]: Simplify 1 into 1 68.035 * [taylor]: Taking taylor expansion of k in n 68.035 * [backup-simplify]: Simplify k into k 68.035 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 68.035 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 68.035 * [taylor]: Taking taylor expansion of 2 in n 68.035 * [backup-simplify]: Simplify 2 into 2 68.035 * [taylor]: Taking taylor expansion of (* n PI) in n 68.035 * [taylor]: Taking taylor expansion of n in n 68.035 * [backup-simplify]: Simplify 0 into 0 68.035 * [backup-simplify]: Simplify 1 into 1 68.035 * [taylor]: Taking taylor expansion of PI in n 68.035 * [backup-simplify]: Simplify PI into PI 68.035 * [backup-simplify]: Simplify (* 0 PI) into 0 68.036 * [backup-simplify]: Simplify (* 2 0) into 0 68.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 68.037 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 68.038 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 68.038 * [backup-simplify]: Simplify (- k) into (- k) 68.038 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 68.038 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 68.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 68.040 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 68.040 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 68.040 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 68.041 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 68.041 * [taylor]: Taking taylor expansion of 1/4 in k 68.041 * [backup-simplify]: Simplify 1/4 into 1/4 68.041 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 68.041 * [taylor]: Taking taylor expansion of (- 1 k) in k 68.041 * [taylor]: Taking taylor expansion of 1 in k 68.041 * [backup-simplify]: Simplify 1 into 1 68.041 * [taylor]: Taking taylor expansion of k in k 68.041 * [backup-simplify]: Simplify 0 into 0 68.041 * [backup-simplify]: Simplify 1 into 1 68.041 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 68.041 * [taylor]: Taking taylor expansion of (log n) in k 68.041 * [taylor]: Taking taylor expansion of n in k 68.041 * [backup-simplify]: Simplify n into n 68.041 * [backup-simplify]: Simplify (log n) into (log n) 68.041 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 68.041 * [taylor]: Taking taylor expansion of (* 2 PI) in k 68.041 * [taylor]: Taking taylor expansion of 2 in k 68.041 * [backup-simplify]: Simplify 2 into 2 68.041 * [taylor]: Taking taylor expansion of PI in k 68.041 * [backup-simplify]: Simplify PI into PI 68.042 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.042 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 68.043 * [backup-simplify]: Simplify (- 0) into 0 68.043 * [backup-simplify]: Simplify (+ 1 0) into 1 68.044 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 68.045 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 68.046 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 68.047 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 68.048 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 68.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 68.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 68.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 68.052 * [backup-simplify]: Simplify (- 0) into 0 68.053 * [backup-simplify]: Simplify (+ 0 0) into 0 68.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 68.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 68.056 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 68.057 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.057 * [taylor]: Taking taylor expansion of 0 in k 68.057 * [backup-simplify]: Simplify 0 into 0 68.058 * [backup-simplify]: Simplify 0 into 0 68.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 68.059 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 68.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 68.061 * [backup-simplify]: Simplify (+ 0 0) into 0 68.061 * [backup-simplify]: Simplify (- 1) into -1 68.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 68.063 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 68.065 * [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))))) 68.068 * [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))))))) 68.071 * [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))))))) 68.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 68.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 68.076 * [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 68.077 * [backup-simplify]: Simplify (- 0) into 0 68.077 * [backup-simplify]: Simplify (+ 0 0) into 0 68.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 68.079 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 68.081 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 68.083 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.083 * [taylor]: Taking taylor expansion of 0 in k 68.083 * [backup-simplify]: Simplify 0 into 0 68.083 * [backup-simplify]: Simplify 0 into 0 68.083 * [backup-simplify]: Simplify 0 into 0 68.085 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 68.086 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 68.089 * [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 68.090 * [backup-simplify]: Simplify (+ 0 0) into 0 68.090 * [backup-simplify]: Simplify (- 0) into 0 68.091 * [backup-simplify]: Simplify (+ 0 0) into 0 68.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 68.095 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 68.098 * [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))))) 68.101 * [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))))) 68.106 * [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))))))) 68.107 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 68.107 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 68.107 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 68.107 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 68.107 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 68.107 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 68.107 * [taylor]: Taking taylor expansion of 1/4 in k 68.107 * [backup-simplify]: Simplify 1/4 into 1/4 68.107 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 68.107 * [taylor]: Taking taylor expansion of 1 in k 68.107 * [backup-simplify]: Simplify 1 into 1 68.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k 68.107 * [taylor]: Taking taylor expansion of k in k 68.107 * [backup-simplify]: Simplify 0 into 0 68.107 * [backup-simplify]: Simplify 1 into 1 68.107 * [backup-simplify]: Simplify (/ 1 1) into 1 68.107 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 68.107 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 68.107 * [taylor]: Taking taylor expansion of 2 in k 68.107 * [backup-simplify]: Simplify 2 into 2 68.107 * [taylor]: Taking taylor expansion of (/ PI n) in k 68.107 * [taylor]: Taking taylor expansion of PI in k 68.107 * [backup-simplify]: Simplify PI into PI 68.107 * [taylor]: Taking taylor expansion of n in k 68.107 * [backup-simplify]: Simplify n into n 68.107 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 68.107 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 68.107 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 68.108 * [backup-simplify]: Simplify (- 1) into -1 68.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 68.108 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 68.108 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 68.108 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 68.108 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 68.108 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 68.108 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 68.108 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 68.108 * [taylor]: Taking taylor expansion of 1/4 in n 68.108 * [backup-simplify]: Simplify 1/4 into 1/4 68.108 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 68.108 * [taylor]: Taking taylor expansion of 1 in n 68.108 * [backup-simplify]: Simplify 1 into 1 68.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n 68.108 * [taylor]: Taking taylor expansion of k in n 68.108 * [backup-simplify]: Simplify k into k 68.109 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 68.109 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 68.109 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 68.109 * [taylor]: Taking taylor expansion of 2 in n 68.109 * [backup-simplify]: Simplify 2 into 2 68.109 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.109 * [taylor]: Taking taylor expansion of PI in n 68.109 * [backup-simplify]: Simplify PI into PI 68.109 * [taylor]: Taking taylor expansion of n in n 68.109 * [backup-simplify]: Simplify 0 into 0 68.109 * [backup-simplify]: Simplify 1 into 1 68.109 * [backup-simplify]: Simplify (/ PI 1) into PI 68.109 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.110 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 68.110 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 68.110 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 68.110 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 68.111 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 68.111 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 68.112 * [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))))) 68.112 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 68.112 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 68.112 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 68.112 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 68.112 * [taylor]: Taking taylor expansion of 1/4 in n 68.112 * [backup-simplify]: Simplify 1/4 into 1/4 68.112 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 68.112 * [taylor]: Taking taylor expansion of 1 in n 68.112 * [backup-simplify]: Simplify 1 into 1 68.112 * [taylor]: Taking taylor expansion of (/ 1 k) in n 68.112 * [taylor]: Taking taylor expansion of k in n 68.112 * [backup-simplify]: Simplify k into k 68.113 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 68.113 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 68.113 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 68.113 * [taylor]: Taking taylor expansion of 2 in n 68.113 * [backup-simplify]: Simplify 2 into 2 68.113 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.113 * [taylor]: Taking taylor expansion of PI in n 68.113 * [backup-simplify]: Simplify PI into PI 68.113 * [taylor]: Taking taylor expansion of n in n 68.113 * [backup-simplify]: Simplify 0 into 0 68.113 * [backup-simplify]: Simplify 1 into 1 68.113 * [backup-simplify]: Simplify (/ PI 1) into PI 68.114 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.115 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 68.115 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 68.115 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 68.115 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 68.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 68.117 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 68.118 * [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))))) 68.118 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 68.118 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 68.119 * [taylor]: Taking taylor expansion of 1/4 in k 68.119 * [backup-simplify]: Simplify 1/4 into 1/4 68.119 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 68.119 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 68.119 * [taylor]: Taking taylor expansion of 1 in k 68.119 * [backup-simplify]: Simplify 1 into 1 68.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k 68.119 * [taylor]: Taking taylor expansion of k in k 68.119 * [backup-simplify]: Simplify 0 into 0 68.119 * [backup-simplify]: Simplify 1 into 1 68.119 * [backup-simplify]: Simplify (/ 1 1) into 1 68.119 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 68.119 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 68.119 * [taylor]: Taking taylor expansion of (* 2 PI) in k 68.119 * [taylor]: Taking taylor expansion of 2 in k 68.119 * [backup-simplify]: Simplify 2 into 2 68.119 * [taylor]: Taking taylor expansion of PI in k 68.119 * [backup-simplify]: Simplify PI into PI 68.120 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.121 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 68.121 * [taylor]: Taking taylor expansion of (log n) in k 68.121 * [taylor]: Taking taylor expansion of n in k 68.121 * [backup-simplify]: Simplify n into n 68.121 * [backup-simplify]: Simplify (log n) into (log n) 68.121 * [backup-simplify]: Simplify (- 1) into -1 68.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 68.122 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 68.123 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 68.124 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 68.125 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 68.126 * [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))))) 68.127 * [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))))) 68.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 68.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 68.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 68.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 68.131 * [backup-simplify]: Simplify (- 0) into 0 68.131 * [backup-simplify]: Simplify (+ 0 0) into 0 68.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 68.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 68.134 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 68.136 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.136 * [taylor]: Taking taylor expansion of 0 in k 68.136 * [backup-simplify]: Simplify 0 into 0 68.136 * [backup-simplify]: Simplify 0 into 0 68.136 * [backup-simplify]: Simplify 0 into 0 68.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 68.141 * [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 68.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 68.141 * [backup-simplify]: Simplify (- 0) into 0 68.141 * [backup-simplify]: Simplify (+ 0 0) into 0 68.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 68.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 68.144 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 68.147 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.147 * [taylor]: Taking taylor expansion of 0 in k 68.147 * [backup-simplify]: Simplify 0 into 0 68.147 * [backup-simplify]: Simplify 0 into 0 68.147 * [backup-simplify]: Simplify 0 into 0 68.147 * [backup-simplify]: Simplify 0 into 0 68.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 68.151 * [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 68.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 68.151 * [backup-simplify]: Simplify (- 0) into 0 68.152 * [backup-simplify]: Simplify (+ 0 0) into 0 68.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 68.153 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 68.154 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 68.156 * [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 68.156 * [taylor]: Taking taylor expansion of 0 in k 68.156 * [backup-simplify]: Simplify 0 into 0 68.156 * [backup-simplify]: Simplify 0 into 0 68.157 * [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)))))) 68.157 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 68.157 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 68.157 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 68.157 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 68.157 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 68.157 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 68.157 * [taylor]: Taking taylor expansion of 1/4 in k 68.157 * [backup-simplify]: Simplify 1/4 into 1/4 68.157 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 68.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k 68.157 * [taylor]: Taking taylor expansion of k in k 68.157 * [backup-simplify]: Simplify 0 into 0 68.157 * [backup-simplify]: Simplify 1 into 1 68.157 * [backup-simplify]: Simplify (/ 1 1) into 1 68.158 * [taylor]: Taking taylor expansion of 1 in k 68.158 * [backup-simplify]: Simplify 1 into 1 68.158 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 68.158 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 68.158 * [taylor]: Taking taylor expansion of -2 in k 68.158 * [backup-simplify]: Simplify -2 into -2 68.158 * [taylor]: Taking taylor expansion of (/ PI n) in k 68.158 * [taylor]: Taking taylor expansion of PI in k 68.158 * [backup-simplify]: Simplify PI into PI 68.158 * [taylor]: Taking taylor expansion of n in k 68.158 * [backup-simplify]: Simplify n into n 68.158 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 68.158 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 68.158 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 68.158 * [backup-simplify]: Simplify (+ 1 0) into 1 68.158 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 68.158 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 68.159 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 68.159 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 68.159 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 68.159 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 68.159 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 68.159 * [taylor]: Taking taylor expansion of 1/4 in n 68.159 * [backup-simplify]: Simplify 1/4 into 1/4 68.159 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 68.159 * [taylor]: Taking taylor expansion of (/ 1 k) in n 68.159 * [taylor]: Taking taylor expansion of k in n 68.159 * [backup-simplify]: Simplify k into k 68.159 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 68.159 * [taylor]: Taking taylor expansion of 1 in n 68.159 * [backup-simplify]: Simplify 1 into 1 68.159 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 68.159 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 68.159 * [taylor]: Taking taylor expansion of -2 in n 68.159 * [backup-simplify]: Simplify -2 into -2 68.159 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.159 * [taylor]: Taking taylor expansion of PI in n 68.159 * [backup-simplify]: Simplify PI into PI 68.159 * [taylor]: Taking taylor expansion of n in n 68.159 * [backup-simplify]: Simplify 0 into 0 68.159 * [backup-simplify]: Simplify 1 into 1 68.159 * [backup-simplify]: Simplify (/ PI 1) into PI 68.160 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 68.160 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 68.160 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 68.160 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 68.161 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.162 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 68.162 * [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))))) 68.162 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 68.162 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 68.162 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 68.162 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 68.162 * [taylor]: Taking taylor expansion of 1/4 in n 68.162 * [backup-simplify]: Simplify 1/4 into 1/4 68.162 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 68.163 * [taylor]: Taking taylor expansion of (/ 1 k) in n 68.163 * [taylor]: Taking taylor expansion of k in n 68.163 * [backup-simplify]: Simplify k into k 68.163 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 68.163 * [taylor]: Taking taylor expansion of 1 in n 68.163 * [backup-simplify]: Simplify 1 into 1 68.163 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 68.163 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 68.163 * [taylor]: Taking taylor expansion of -2 in n 68.163 * [backup-simplify]: Simplify -2 into -2 68.163 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.163 * [taylor]: Taking taylor expansion of PI in n 68.163 * [backup-simplify]: Simplify PI into PI 68.163 * [taylor]: Taking taylor expansion of n in n 68.163 * [backup-simplify]: Simplify 0 into 0 68.163 * [backup-simplify]: Simplify 1 into 1 68.163 * [backup-simplify]: Simplify (/ PI 1) into PI 68.163 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 68.164 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 68.164 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 68.164 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 68.165 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.166 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 68.166 * [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))))) 68.166 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 68.166 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 68.166 * [taylor]: Taking taylor expansion of 1/4 in k 68.167 * [backup-simplify]: Simplify 1/4 into 1/4 68.167 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 68.167 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 68.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k 68.167 * [taylor]: Taking taylor expansion of k in k 68.167 * [backup-simplify]: Simplify 0 into 0 68.167 * [backup-simplify]: Simplify 1 into 1 68.167 * [backup-simplify]: Simplify (/ 1 1) into 1 68.167 * [taylor]: Taking taylor expansion of 1 in k 68.167 * [backup-simplify]: Simplify 1 into 1 68.167 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 68.167 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 68.167 * [taylor]: Taking taylor expansion of (* -2 PI) in k 68.167 * [taylor]: Taking taylor expansion of -2 in k 68.167 * [backup-simplify]: Simplify -2 into -2 68.167 * [taylor]: Taking taylor expansion of PI in k 68.167 * [backup-simplify]: Simplify PI into PI 68.167 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 68.168 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 68.168 * [taylor]: Taking taylor expansion of (log n) in k 68.168 * [taylor]: Taking taylor expansion of n in k 68.168 * [backup-simplify]: Simplify n into n 68.168 * [backup-simplify]: Simplify (log n) into (log n) 68.168 * [backup-simplify]: Simplify (+ 1 0) into 1 68.168 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 68.169 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 68.169 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 68.170 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 68.171 * [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))))) 68.171 * [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))))) 68.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 68.173 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 68.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 68.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 68.175 * [backup-simplify]: Simplify (+ 0 0) into 0 68.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 68.177 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.178 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 68.179 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 68.179 * [taylor]: Taking taylor expansion of 0 in k 68.180 * [backup-simplify]: Simplify 0 into 0 68.180 * [backup-simplify]: Simplify 0 into 0 68.180 * [backup-simplify]: Simplify 0 into 0 68.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.182 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 68.185 * [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 68.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 68.185 * [backup-simplify]: Simplify (+ 0 0) into 0 68.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 68.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.189 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 68.192 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 68.192 * [taylor]: Taking taylor expansion of 0 in k 68.192 * [backup-simplify]: Simplify 0 into 0 68.192 * [backup-simplify]: Simplify 0 into 0 68.192 * [backup-simplify]: Simplify 0 into 0 68.192 * [backup-simplify]: Simplify 0 into 0 68.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.194 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 68.200 * [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 68.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 68.200 * [backup-simplify]: Simplify (+ 0 0) into 0 68.201 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 68.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 68.204 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 68.207 * [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 68.207 * [taylor]: Taking taylor expansion of 0 in k 68.207 * [backup-simplify]: Simplify 0 into 0 68.207 * [backup-simplify]: Simplify 0 into 0 68.208 * [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)))))) 68.208 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 68.209 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 68.209 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 68.209 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 68.209 * [taylor]: Taking taylor expansion of 2 in n 68.209 * [backup-simplify]: Simplify 2 into 2 68.209 * [taylor]: Taking taylor expansion of (* n PI) in n 68.209 * [taylor]: Taking taylor expansion of n in n 68.209 * [backup-simplify]: Simplify 0 into 0 68.209 * [backup-simplify]: Simplify 1 into 1 68.209 * [taylor]: Taking taylor expansion of PI in n 68.209 * [backup-simplify]: Simplify PI into PI 68.209 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 68.209 * [taylor]: Taking taylor expansion of 2 in n 68.209 * [backup-simplify]: Simplify 2 into 2 68.209 * [taylor]: Taking taylor expansion of (* n PI) in n 68.209 * [taylor]: Taking taylor expansion of n in n 68.209 * [backup-simplify]: Simplify 0 into 0 68.209 * [backup-simplify]: Simplify 1 into 1 68.209 * [taylor]: Taking taylor expansion of PI in n 68.209 * [backup-simplify]: Simplify PI into PI 68.210 * [backup-simplify]: Simplify (* 0 PI) into 0 68.210 * [backup-simplify]: Simplify (* 2 0) into 0 68.210 * [backup-simplify]: Simplify 0 into 0 68.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 68.213 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 68.213 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 68.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 68.215 * [backup-simplify]: Simplify 0 into 0 68.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 68.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 68.217 * [backup-simplify]: Simplify 0 into 0 68.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 68.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 68.220 * [backup-simplify]: Simplify 0 into 0 68.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 68.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 68.223 * [backup-simplify]: Simplify 0 into 0 68.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 68.227 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 68.227 * [backup-simplify]: Simplify 0 into 0 68.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 68.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 68.231 * [backup-simplify]: Simplify 0 into 0 68.231 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 68.232 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 68.232 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 68.232 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 68.232 * [taylor]: Taking taylor expansion of 2 in n 68.232 * [backup-simplify]: Simplify 2 into 2 68.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.232 * [taylor]: Taking taylor expansion of PI in n 68.232 * [backup-simplify]: Simplify PI into PI 68.232 * [taylor]: Taking taylor expansion of n in n 68.232 * [backup-simplify]: Simplify 0 into 0 68.232 * [backup-simplify]: Simplify 1 into 1 68.232 * [backup-simplify]: Simplify (/ PI 1) into PI 68.232 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 68.232 * [taylor]: Taking taylor expansion of 2 in n 68.233 * [backup-simplify]: Simplify 2 into 2 68.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.233 * [taylor]: Taking taylor expansion of PI in n 68.233 * [backup-simplify]: Simplify PI into PI 68.233 * [taylor]: Taking taylor expansion of n in n 68.233 * [backup-simplify]: Simplify 0 into 0 68.233 * [backup-simplify]: Simplify 1 into 1 68.233 * [backup-simplify]: Simplify (/ PI 1) into PI 68.234 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.234 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 68.236 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 68.236 * [backup-simplify]: Simplify 0 into 0 68.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 68.238 * [backup-simplify]: Simplify 0 into 0 68.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 68.240 * [backup-simplify]: Simplify 0 into 0 68.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.243 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 68.243 * [backup-simplify]: Simplify 0 into 0 68.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 68.245 * [backup-simplify]: Simplify 0 into 0 68.246 * [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 68.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 68.248 * [backup-simplify]: Simplify 0 into 0 68.248 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 68.249 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 68.249 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 68.249 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 68.249 * [taylor]: Taking taylor expansion of -2 in n 68.249 * [backup-simplify]: Simplify -2 into -2 68.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.249 * [taylor]: Taking taylor expansion of PI in n 68.249 * [backup-simplify]: Simplify PI into PI 68.249 * [taylor]: Taking taylor expansion of n in n 68.249 * [backup-simplify]: Simplify 0 into 0 68.249 * [backup-simplify]: Simplify 1 into 1 68.250 * [backup-simplify]: Simplify (/ PI 1) into PI 68.250 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 68.250 * [taylor]: Taking taylor expansion of -2 in n 68.250 * [backup-simplify]: Simplify -2 into -2 68.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.250 * [taylor]: Taking taylor expansion of PI in n 68.250 * [backup-simplify]: Simplify PI into PI 68.250 * [taylor]: Taking taylor expansion of n in n 68.250 * [backup-simplify]: Simplify 0 into 0 68.250 * [backup-simplify]: Simplify 1 into 1 68.250 * [backup-simplify]: Simplify (/ PI 1) into PI 68.251 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 68.251 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 68.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 68.253 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 68.253 * [backup-simplify]: Simplify 0 into 0 68.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.255 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 68.255 * [backup-simplify]: Simplify 0 into 0 68.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.257 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 68.257 * [backup-simplify]: Simplify 0 into 0 68.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.258 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 68.258 * [backup-simplify]: Simplify 0 into 0 68.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.260 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 68.260 * [backup-simplify]: Simplify 0 into 0 68.260 * [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 68.261 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 68.261 * [backup-simplify]: Simplify 0 into 0 68.262 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 68.262 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 68.262 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 68.262 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 68.262 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 68.262 * [taylor]: Taking taylor expansion of 2 in n 68.262 * [backup-simplify]: Simplify 2 into 2 68.262 * [taylor]: Taking taylor expansion of (* n PI) in n 68.262 * [taylor]: Taking taylor expansion of n in n 68.262 * [backup-simplify]: Simplify 0 into 0 68.262 * [backup-simplify]: Simplify 1 into 1 68.262 * [taylor]: Taking taylor expansion of PI in n 68.262 * [backup-simplify]: Simplify PI into PI 68.262 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 68.262 * [taylor]: Taking taylor expansion of 2 in n 68.262 * [backup-simplify]: Simplify 2 into 2 68.262 * [taylor]: Taking taylor expansion of (* n PI) in n 68.262 * [taylor]: Taking taylor expansion of n in n 68.262 * [backup-simplify]: Simplify 0 into 0 68.262 * [backup-simplify]: Simplify 1 into 1 68.262 * [taylor]: Taking taylor expansion of PI in n 68.262 * [backup-simplify]: Simplify PI into PI 68.263 * [backup-simplify]: Simplify (* 0 PI) into 0 68.263 * [backup-simplify]: Simplify (* 2 0) into 0 68.263 * [backup-simplify]: Simplify 0 into 0 68.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 68.266 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 68.266 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 68.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 68.268 * [backup-simplify]: Simplify 0 into 0 68.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 68.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 68.269 * [backup-simplify]: Simplify 0 into 0 68.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 68.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 68.271 * [backup-simplify]: Simplify 0 into 0 68.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 68.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 68.272 * [backup-simplify]: Simplify 0 into 0 68.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 68.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 68.274 * [backup-simplify]: Simplify 0 into 0 68.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 68.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 68.276 * [backup-simplify]: Simplify 0 into 0 68.276 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 68.277 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 68.277 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 68.277 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 68.277 * [taylor]: Taking taylor expansion of 2 in n 68.277 * [backup-simplify]: Simplify 2 into 2 68.277 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.277 * [taylor]: Taking taylor expansion of PI in n 68.277 * [backup-simplify]: Simplify PI into PI 68.277 * [taylor]: Taking taylor expansion of n in n 68.277 * [backup-simplify]: Simplify 0 into 0 68.277 * [backup-simplify]: Simplify 1 into 1 68.277 * [backup-simplify]: Simplify (/ PI 1) into PI 68.277 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 68.277 * [taylor]: Taking taylor expansion of 2 in n 68.277 * [backup-simplify]: Simplify 2 into 2 68.277 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.277 * [taylor]: Taking taylor expansion of PI in n 68.277 * [backup-simplify]: Simplify PI into PI 68.277 * [taylor]: Taking taylor expansion of n in n 68.277 * [backup-simplify]: Simplify 0 into 0 68.277 * [backup-simplify]: Simplify 1 into 1 68.278 * [backup-simplify]: Simplify (/ PI 1) into PI 68.278 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.278 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 68.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 68.279 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 68.279 * [backup-simplify]: Simplify 0 into 0 68.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 68.281 * [backup-simplify]: Simplify 0 into 0 68.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 68.282 * [backup-simplify]: Simplify 0 into 0 68.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 68.283 * [backup-simplify]: Simplify 0 into 0 68.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.285 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 68.285 * [backup-simplify]: Simplify 0 into 0 68.285 * [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 68.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 68.286 * [backup-simplify]: Simplify 0 into 0 68.287 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 68.287 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 68.287 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 68.287 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 68.287 * [taylor]: Taking taylor expansion of -2 in n 68.287 * [backup-simplify]: Simplify -2 into -2 68.287 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.287 * [taylor]: Taking taylor expansion of PI in n 68.287 * [backup-simplify]: Simplify PI into PI 68.287 * [taylor]: Taking taylor expansion of n in n 68.287 * [backup-simplify]: Simplify 0 into 0 68.287 * [backup-simplify]: Simplify 1 into 1 68.288 * [backup-simplify]: Simplify (/ PI 1) into PI 68.288 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 68.288 * [taylor]: Taking taylor expansion of -2 in n 68.288 * [backup-simplify]: Simplify -2 into -2 68.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 68.288 * [taylor]: Taking taylor expansion of PI in n 68.288 * [backup-simplify]: Simplify PI into PI 68.288 * [taylor]: Taking taylor expansion of n in n 68.288 * [backup-simplify]: Simplify 0 into 0 68.288 * [backup-simplify]: Simplify 1 into 1 68.288 * [backup-simplify]: Simplify (/ PI 1) into PI 68.288 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 68.289 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 68.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 68.291 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 68.291 * [backup-simplify]: Simplify 0 into 0 68.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.293 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 68.293 * [backup-simplify]: Simplify 0 into 0 68.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.295 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 68.295 * [backup-simplify]: Simplify 0 into 0 68.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.297 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 68.297 * [backup-simplify]: Simplify 0 into 0 68.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 68.300 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 68.300 * [backup-simplify]: Simplify 0 into 0 68.301 * [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 68.303 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 68.303 * [backup-simplify]: Simplify 0 into 0 68.303 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 68.303 * * * [progress]: simplifying candidates 68.303 * * * * [progress]: [ 1 / 226 ] simplifiying candidate # 68.304 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 68.304 * * [simplify]: iters left: 6 (14 enodes) 68.313 * * [simplify]: iters left: 5 (60 enodes) 68.333 * * [simplify]: iters left: 4 (108 enodes) 68.354 * * [simplify]: iters left: 3 (249 enodes) 68.449 * * [simplify]: Extracting #0: cost 1 inf + 0 68.450 * * [simplify]: Extracting #1: cost 28 inf + 0 68.450 * * [simplify]: Extracting #2: cost 114 inf + 2 68.451 * * [simplify]: Extracting #3: cost 151 inf + 301 68.455 * * [simplify]: Extracting #4: cost 84 inf + 10352 68.464 * * [simplify]: Extracting #5: cost 17 inf + 27228 68.476 * * [simplify]: Extracting #6: cost 0 inf + 31848 68.488 * * [simplify]: Extracting #7: cost 0 inf + 31808 68.500 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 68.501 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))))))) 68.501 * * * * [progress]: [ 2 / 226 ] simplifiying candidate # 68.501 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 68.501 * * [simplify]: iters left: 6 (13 enodes) 68.513 * * [simplify]: iters left: 5 (58 enodes) 68.534 * * [simplify]: iters left: 4 (101 enodes) 68.569 * * [simplify]: iters left: 3 (207 enodes) 68.664 * * [simplify]: iters left: 2 (498 enodes) 68.823 * * [simplify]: Extracting #0: cost 1 inf + 0 68.823 * * [simplify]: Extracting #1: cost 58 inf + 0 68.825 * * [simplify]: Extracting #2: cost 205 inf + 4 68.827 * * [simplify]: Extracting #3: cost 244 inf + 1075 68.834 * * [simplify]: Extracting #4: cost 137 inf + 20618 68.853 * * [simplify]: Extracting #5: cost 12 inf + 54441 68.865 * * [simplify]: Extracting #6: cost 0 inf + 58827 68.878 * * [simplify]: Extracting #7: cost 0 inf + 58826 68.903 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4) 68.903 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4))))) 68.903 * * * * [progress]: [ 3 / 226 ] simplifiying candidate # 68.904 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 68.904 * * [simplify]: iters left: 6 (12 enodes) 68.911 * * [simplify]: iters left: 5 (57 enodes) 68.925 * * [simplify]: iters left: 4 (111 enodes) 68.945 * * [simplify]: iters left: 3 (212 enodes) 68.995 * * [simplify]: iters left: 2 (446 enodes) 69.147 * * [simplify]: Extracting #0: cost 1 inf + 0 69.147 * * [simplify]: Extracting #1: cost 34 inf + 0 69.147 * * [simplify]: Extracting #2: cost 143 inf + 4 69.149 * * [simplify]: Extracting #3: cost 200 inf + 396 69.153 * * [simplify]: Extracting #4: cost 133 inf + 9596 69.163 * * [simplify]: Extracting #5: cost 32 inf + 30294 69.171 * * [simplify]: Extracting #6: cost 1 inf + 36989 69.179 * * [simplify]: Extracting #7: cost 0 inf + 37182 69.187 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 69.187 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4))))) 69.187 * * * * [progress]: [ 4 / 226 ] simplifiying candidate # 69.187 * * * * [progress]: [ 5 / 226 ] simplifiying candidate # 69.187 * [simplify]: Simplifying (* n (* 2 PI)) 69.188 * * [simplify]: iters left: 4 (5 enodes) 69.189 * * [simplify]: iters left: 3 (19 enodes) 69.192 * * [simplify]: iters left: 2 (27 enodes) 69.200 * * [simplify]: iters left: 1 (32 enodes) 69.208 * * [simplify]: Extracting #0: cost 1 inf + 0 69.209 * * [simplify]: Extracting #1: cost 8 inf + 0 69.209 * * [simplify]: Extracting #2: cost 7 inf + 45 69.209 * * [simplify]: Extracting #3: cost 0 inf + 421 69.209 * [simplify]: Simplified to (* (* PI 2) n) 69.209 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 69.209 * * * * [progress]: [ 6 / 226 ] simplifiying candidate # 69.210 * [simplify]: Simplifying (* n (* 2 PI)) 69.210 * * [simplify]: iters left: 4 (5 enodes) 69.213 * * [simplify]: iters left: 3 (19 enodes) 69.219 * * [simplify]: iters left: 2 (27 enodes) 69.226 * * [simplify]: iters left: 1 (32 enodes) 69.230 * * [simplify]: Extracting #0: cost 1 inf + 0 69.230 * * [simplify]: Extracting #1: cost 8 inf + 0 69.231 * * [simplify]: Extracting #2: cost 7 inf + 45 69.231 * * [simplify]: Extracting #3: cost 0 inf + 421 69.231 * [simplify]: Simplified to (* (* PI 2) n) 69.231 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 69.231 * * * * [progress]: [ 7 / 226 ] simplifiying candidate # 69.231 * [simplify]: Simplifying (* n (* 2 PI)) 69.231 * * [simplify]: iters left: 4 (5 enodes) 69.233 * * [simplify]: iters left: 3 (19 enodes) 69.236 * * [simplify]: iters left: 2 (27 enodes) 69.240 * * [simplify]: iters left: 1 (32 enodes) 69.246 * * [simplify]: Extracting #0: cost 1 inf + 0 69.246 * * [simplify]: Extracting #1: cost 8 inf + 0 69.246 * * [simplify]: Extracting #2: cost 7 inf + 45 69.246 * * [simplify]: Extracting #3: cost 0 inf + 421 69.246 * [simplify]: Simplified to (* (* PI 2) n) 69.246 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 69.246 * * * * [progress]: [ 8 / 226 ] simplifiying candidate # 69.247 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 69.247 * * [simplify]: iters left: 5 (9 enodes) 69.249 * * [simplify]: iters left: 4 (37 enodes) 69.255 * * [simplify]: iters left: 3 (57 enodes) 69.265 * * [simplify]: iters left: 2 (93 enodes) 69.295 * * [simplify]: iters left: 1 (170 enodes) 69.357 * * [simplify]: Extracting #0: cost 1 inf + 0 69.357 * * [simplify]: Extracting #1: cost 13 inf + 0 69.358 * * [simplify]: Extracting #2: cost 59 inf + 1 69.359 * * [simplify]: Extracting #3: cost 78 inf + 176 69.360 * * [simplify]: Extracting #4: cost 40 inf + 3875 69.367 * * [simplify]: Extracting #5: cost 7 inf + 16988 69.373 * * [simplify]: Extracting #6: cost 0 inf + 20577 69.379 * * [simplify]: Extracting #7: cost 0 inf + 20336 69.384 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 69.384 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4)))))) 69.385 * * * * [progress]: [ 9 / 226 ] simplifiying candidate # 69.385 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 69.385 * * [simplify]: iters left: 6 (7 enodes) 69.390 * * [simplify]: iters left: 5 (32 enodes) 69.401 * * [simplify]: iters left: 4 (47 enodes) 69.415 * * [simplify]: iters left: 3 (53 enodes) 69.431 * * [simplify]: iters left: 2 (60 enodes) 69.447 * * [simplify]: Extracting #0: cost 1 inf + 0 69.447 * * [simplify]: Extracting #1: cost 3 inf + 0 69.447 * * [simplify]: Extracting #2: cost 11 inf + 0 69.447 * * [simplify]: Extracting #3: cost 17 inf + 3 69.447 * * [simplify]: Extracting #4: cost 14 inf + 129 69.448 * * [simplify]: Extracting #5: cost 3 inf + 794 69.448 * * [simplify]: Extracting #6: cost 0 inf + 1162 69.449 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 69.449 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))))) 69.449 * * * * [progress]: [ 10 / 226 ] simplifiying candidate # 69.449 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 69.449 * * [simplify]: iters left: 6 (7 enodes) 69.454 * * [simplify]: iters left: 5 (32 enodes) 69.466 * * [simplify]: iters left: 4 (47 enodes) 69.480 * * [simplify]: iters left: 3 (53 enodes) 69.495 * * [simplify]: iters left: 2 (60 enodes) 69.512 * * [simplify]: Extracting #0: cost 1 inf + 0 69.512 * * [simplify]: Extracting #1: cost 3 inf + 0 69.512 * * [simplify]: Extracting #2: cost 11 inf + 0 69.512 * * [simplify]: Extracting #3: cost 17 inf + 3 69.513 * * [simplify]: Extracting #4: cost 14 inf + 129 69.513 * * [simplify]: Extracting #5: cost 3 inf + 794 69.514 * * [simplify]: Extracting #6: cost 0 inf + 1082 69.514 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 69.514 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))))) 69.514 * * * * [progress]: [ 11 / 226 ] simplifiying candidate # 69.515 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 69.515 * * [simplify]: iters left: 6 (8 enodes) 69.522 * * [simplify]: iters left: 5 (32 enodes) 69.529 * * [simplify]: iters left: 4 (41 enodes) 69.536 * * [simplify]: Extracting #0: cost 1 inf + 0 69.536 * * [simplify]: Extracting #1: cost 4 inf + 0 69.536 * * [simplify]: Extracting #2: cost 8 inf + 0 69.536 * * [simplify]: Extracting #3: cost 9 inf + 163 69.536 * * [simplify]: Extracting #4: cost 13 inf + 164 69.536 * * [simplify]: Extracting #5: cost 10 inf + 249 69.536 * * [simplify]: Extracting #6: cost 3 inf + 986 69.537 * * [simplify]: Extracting #7: cost 0 inf + 1474 69.537 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 69.537 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))))) 69.537 * * * * [progress]: [ 12 / 226 ] simplifiying candidate # 69.537 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 69.537 * * [simplify]: iters left: 6 (8 enodes) 69.540 * * [simplify]: iters left: 5 (32 enodes) 69.546 * * [simplify]: iters left: 4 (41 enodes) 69.552 * * [simplify]: Extracting #0: cost 1 inf + 0 69.552 * * [simplify]: Extracting #1: cost 4 inf + 0 69.552 * * [simplify]: Extracting #2: cost 8 inf + 0 69.552 * * [simplify]: Extracting #3: cost 9 inf + 83 69.552 * * [simplify]: Extracting #4: cost 13 inf + 84 69.552 * * [simplify]: Extracting #5: cost 10 inf + 169 69.552 * * [simplify]: Extracting #6: cost 3 inf + 866 69.553 * * [simplify]: Extracting #7: cost 0 inf + 1314 69.553 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 69.553 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))))) 69.554 * * * * [progress]: [ 13 / 226 ] simplifiying candidate # 69.554 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 69.554 * * [simplify]: iters left: 6 (7 enodes) 69.559 * * [simplify]: iters left: 5 (29 enodes) 69.568 * * [simplify]: iters left: 4 (38 enodes) 69.574 * * [simplify]: Extracting #0: cost 1 inf + 0 69.574 * * [simplify]: Extracting #1: cost 4 inf + 0 69.574 * * [simplify]: Extracting #2: cost 5 inf + 1 69.574 * * [simplify]: Extracting #3: cost 9 inf + 1 69.574 * * [simplify]: Extracting #4: cost 13 inf + 2 69.574 * * [simplify]: Extracting #5: cost 12 inf + 4 69.574 * * [simplify]: Extracting #6: cost 2 inf + 746 69.574 * * [simplify]: Extracting #7: cost 0 inf + 1152 69.575 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 69.575 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))))) 69.575 * * * * [progress]: [ 14 / 226 ] simplifiying candidate # 69.575 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 69.575 * * [simplify]: iters left: 6 (8 enodes) 69.578 * * [simplify]: iters left: 5 (32 enodes) 69.583 * * [simplify]: iters left: 4 (41 enodes) 69.589 * * [simplify]: Extracting #0: cost 1 inf + 0 69.589 * * [simplify]: Extracting #1: cost 4 inf + 0 69.590 * * [simplify]: Extracting #2: cost 8 inf + 0 69.590 * * [simplify]: Extracting #3: cost 9 inf + 163 69.590 * * [simplify]: Extracting #4: cost 13 inf + 164 69.590 * * [simplify]: Extracting #5: cost 10 inf + 249 69.590 * * [simplify]: Extracting #6: cost 3 inf + 906 69.590 * * [simplify]: Extracting #7: cost 0 inf + 1314 69.590 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 69.590 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))))) 69.591 * * * * [progress]: [ 15 / 226 ] simplifiying candidate # 69.591 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 69.591 * * [simplify]: iters left: 6 (8 enodes) 69.593 * * [simplify]: iters left: 5 (32 enodes) 69.601 * * [simplify]: iters left: 4 (41 enodes) 69.613 * * [simplify]: Extracting #0: cost 1 inf + 0 69.613 * * [simplify]: Extracting #1: cost 4 inf + 0 69.613 * * [simplify]: Extracting #2: cost 8 inf + 0 69.613 * * [simplify]: Extracting #3: cost 9 inf + 83 69.613 * * [simplify]: Extracting #4: cost 13 inf + 84 69.613 * * [simplify]: Extracting #5: cost 10 inf + 169 69.614 * * [simplify]: Extracting #6: cost 3 inf + 786 69.614 * * [simplify]: Extracting #7: cost 0 inf + 1154 69.615 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 69.615 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))))) 69.615 * * * * [progress]: [ 16 / 226 ] simplifiying candidate # 69.615 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 69.615 * * [simplify]: iters left: 6 (7 enodes) 69.620 * * [simplify]: iters left: 5 (29 enodes) 69.631 * * [simplify]: iters left: 4 (38 enodes) 69.640 * * [simplify]: Extracting #0: cost 1 inf + 0 69.640 * * [simplify]: Extracting #1: cost 4 inf + 0 69.640 * * [simplify]: Extracting #2: cost 5 inf + 1 69.640 * * [simplify]: Extracting #3: cost 9 inf + 1 69.640 * * [simplify]: Extracting #4: cost 13 inf + 2 69.640 * * [simplify]: Extracting #5: cost 12 inf + 4 69.640 * * [simplify]: Extracting #6: cost 2 inf + 666 69.641 * * [simplify]: Extracting #7: cost 0 inf + 992 69.641 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 69.641 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))))) 69.641 * * * * [progress]: [ 17 / 226 ] simplifiying candidate # 69.641 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 69.641 * * [simplify]: iters left: 6 (8 enodes) 69.644 * * [simplify]: iters left: 5 (30 enodes) 69.650 * * [simplify]: iters left: 4 (37 enodes) 69.655 * * [simplify]: Extracting #0: cost 1 inf + 0 69.656 * * [simplify]: Extracting #1: cost 6 inf + 0 69.656 * * [simplify]: Extracting #2: cost 12 inf + 0 69.656 * * [simplify]: Extracting #3: cost 11 inf + 405 69.656 * * [simplify]: Extracting #4: cost 10 inf + 407 69.656 * * [simplify]: Extracting #5: cost 4 inf + 1220 69.656 * * [simplify]: Extracting #6: cost 0 inf + 1869 69.656 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 69.657 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 69.657 * * * * [progress]: [ 18 / 226 ] simplifiying candidate # 69.657 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 69.657 * * [simplify]: iters left: 6 (9 enodes) 69.660 * * [simplify]: iters left: 5 (33 enodes) 69.668 * * [simplify]: iters left: 4 (43 enodes) 69.681 * * [simplify]: iters left: 3 (45 enodes) 69.695 * * [simplify]: Extracting #0: cost 1 inf + 0 69.695 * * [simplify]: Extracting #1: cost 8 inf + 0 69.695 * * [simplify]: Extracting #2: cost 16 inf + 0 69.695 * * [simplify]: Extracting #3: cost 16 inf + 284 69.695 * * [simplify]: Extracting #4: cost 11 inf + 610 69.695 * * [simplify]: Extracting #5: cost 8 inf + 815 69.696 * * [simplify]: Extracting #6: cost 0 inf + 2517 69.697 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 69.697 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 69.697 * * * * [progress]: [ 19 / 226 ] simplifiying candidate # 69.697 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 69.697 * * [simplify]: iters left: 6 (8 enodes) 69.699 * * [simplify]: iters left: 5 (30 enodes) 69.705 * * [simplify]: iters left: 4 (40 enodes) 69.711 * * [simplify]: iters left: 3 (42 enodes) 69.717 * * [simplify]: Extracting #0: cost 1 inf + 0 69.717 * * [simplify]: Extracting #1: cost 8 inf + 0 69.717 * * [simplify]: Extracting #2: cost 12 inf + 82 69.717 * * [simplify]: Extracting #3: cost 13 inf + 405 69.717 * * [simplify]: Extracting #4: cost 12 inf + 407 69.718 * * [simplify]: Extracting #5: cost 5 inf + 1383 69.718 * * [simplify]: Extracting #6: cost 0 inf + 2195 69.718 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 69.718 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))))) 69.718 * * * * [progress]: [ 20 / 226 ] simplifiying candidate # 69.719 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 69.719 * * [simplify]: iters left: 6 (9 enodes) 69.722 * * [simplify]: iters left: 5 (33 enodes) 69.730 * * [simplify]: iters left: 4 (43 enodes) 69.745 * * [simplify]: iters left: 3 (45 enodes) 69.753 * * [simplify]: Extracting #0: cost 1 inf + 0 69.753 * * [simplify]: Extracting #1: cost 8 inf + 0 69.753 * * [simplify]: Extracting #2: cost 16 inf + 0 69.753 * * [simplify]: Extracting #3: cost 16 inf + 284 69.753 * * [simplify]: Extracting #4: cost 11 inf + 610 69.753 * * [simplify]: Extracting #5: cost 8 inf + 815 69.754 * * [simplify]: Extracting #6: cost 0 inf + 2517 69.754 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 69.754 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 69.754 * * * * [progress]: [ 21 / 226 ] simplifiying candidate # 69.754 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 69.755 * * [simplify]: iters left: 6 (8 enodes) 69.757 * * [simplify]: iters left: 5 (30 enodes) 69.762 * * [simplify]: iters left: 4 (35 enodes) 69.768 * * [simplify]: Extracting #0: cost 1 inf + 0 69.768 * * [simplify]: Extracting #1: cost 6 inf + 0 69.768 * * [simplify]: Extracting #2: cost 8 inf + 42 69.769 * * [simplify]: Extracting #3: cost 11 inf + 83 69.769 * * [simplify]: Extracting #4: cost 10 inf + 85 69.769 * * [simplify]: Extracting #5: cost 4 inf + 658 69.769 * * [simplify]: Extracting #6: cost 0 inf + 1227 69.769 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 69.769 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))))) 69.769 * * * * [progress]: [ 22 / 226 ] simplifiying candidate # 69.769 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 69.770 * * [simplify]: iters left: 6 (8 enodes) 69.772 * * [simplify]: iters left: 5 (30 enodes) 69.782 * * [simplify]: iters left: 4 (40 enodes) 69.794 * * [simplify]: iters left: 3 (42 enodes) 69.800 * * [simplify]: Extracting #0: cost 1 inf + 0 69.800 * * [simplify]: Extracting #1: cost 8 inf + 0 69.801 * * [simplify]: Extracting #2: cost 12 inf + 42 69.801 * * [simplify]: Extracting #3: cost 13 inf + 245 69.801 * * [simplify]: Extracting #4: cost 12 inf + 247 69.801 * * [simplify]: Extracting #5: cost 5 inf + 1143 69.801 * * [simplify]: Extracting #6: cost 0 inf + 1875 69.802 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 69.802 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))))) 69.802 * * * * [progress]: [ 23 / 226 ] simplifiying candidate # 69.802 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 69.802 * * [simplify]: iters left: 6 (8 enodes) 69.805 * * [simplify]: iters left: 5 (30 enodes) 69.810 * * [simplify]: iters left: 4 (40 enodes) 69.816 * * [simplify]: iters left: 3 (42 enodes) 69.825 * * [simplify]: Extracting #0: cost 1 inf + 0 69.825 * * [simplify]: Extracting #1: cost 8 inf + 0 69.826 * * [simplify]: Extracting #2: cost 11 inf + 203 69.826 * * [simplify]: Extracting #3: cost 13 inf + 405 69.826 * * [simplify]: Extracting #4: cost 12 inf + 407 69.826 * * [simplify]: Extracting #5: cost 3 inf + 1789 69.827 * * [simplify]: Extracting #6: cost 0 inf + 2195 69.827 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 69.827 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))))) 69.828 * * * * [progress]: [ 24 / 226 ] simplifiying candidate # 69.828 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 69.828 * * [simplify]: iters left: 6 (8 enodes) 69.833 * * [simplify]: iters left: 5 (30 enodes) 69.844 * * [simplify]: iters left: 4 (40 enodes) 69.858 * * [simplify]: iters left: 3 (42 enodes) 69.871 * * [simplify]: Extracting #0: cost 1 inf + 0 69.871 * * [simplify]: Extracting #1: cost 8 inf + 0 69.871 * * [simplify]: Extracting #2: cost 11 inf + 123 69.871 * * [simplify]: Extracting #3: cost 13 inf + 245 69.871 * * [simplify]: Extracting #4: cost 12 inf + 247 69.872 * * [simplify]: Extracting #5: cost 3 inf + 1509 69.872 * * [simplify]: Extracting #6: cost 0 inf + 1875 69.873 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 69.873 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))))) 69.873 * * * * [progress]: [ 25 / 226 ] simplifiying candidate # 69.874 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 69.874 * * [simplify]: iters left: 6 (7 enodes) 69.878 * * [simplify]: iters left: 5 (28 enodes) 69.888 * * [simplify]: iters left: 4 (35 enodes) 69.893 * * [simplify]: Extracting #0: cost 1 inf + 0 69.893 * * [simplify]: Extracting #1: cost 6 inf + 0 69.894 * * [simplify]: Extracting #2: cost 7 inf + 2 69.894 * * [simplify]: Extracting #3: cost 11 inf + 2 69.894 * * [simplify]: Extracting #4: cost 9 inf + 45 69.894 * * [simplify]: Extracting #5: cost 4 inf + 455 69.894 * * [simplify]: Extracting #6: cost 0 inf + 1066 69.894 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 69.894 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))))) 69.894 * * * * [progress]: [ 26 / 226 ] simplifiying candidate # 69.894 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 69.895 * * [simplify]: iters left: 6 (8 enodes) 69.897 * * [simplify]: iters left: 5 (30 enodes) 69.903 * * [simplify]: iters left: 4 (37 enodes) 69.909 * * [simplify]: Extracting #0: cost 1 inf + 0 69.909 * * [simplify]: Extracting #1: cost 6 inf + 0 69.909 * * [simplify]: Extracting #2: cost 12 inf + 0 69.909 * * [simplify]: Extracting #3: cost 11 inf + 405 69.909 * * [simplify]: Extracting #4: cost 10 inf + 407 69.909 * * [simplify]: Extracting #5: cost 4 inf + 1100 69.909 * * [simplify]: Extracting #6: cost 0 inf + 1629 69.909 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 69.910 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 69.910 * * * * [progress]: [ 27 / 226 ] simplifiying candidate # 69.910 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 69.910 * * [simplify]: iters left: 6 (9 enodes) 69.913 * * [simplify]: iters left: 5 (33 enodes) 69.921 * * [simplify]: iters left: 4 (43 enodes) 69.934 * * [simplify]: iters left: 3 (45 enodes) 69.941 * * [simplify]: Extracting #0: cost 1 inf + 0 69.941 * * [simplify]: Extracting #1: cost 8 inf + 0 69.941 * * [simplify]: Extracting #2: cost 16 inf + 0 69.941 * * [simplify]: Extracting #3: cost 16 inf + 284 69.941 * * [simplify]: Extracting #4: cost 11 inf + 610 69.941 * * [simplify]: Extracting #5: cost 8 inf + 775 69.942 * * [simplify]: Extracting #6: cost 0 inf + 2197 69.942 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 69.942 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 69.942 * * * * [progress]: [ 28 / 226 ] simplifiying candidate # 69.942 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 69.942 * * [simplify]: iters left: 6 (8 enodes) 69.945 * * [simplify]: iters left: 5 (30 enodes) 69.951 * * [simplify]: iters left: 4 (40 enodes) 69.957 * * [simplify]: iters left: 3 (42 enodes) 69.964 * * [simplify]: Extracting #0: cost 1 inf + 0 69.964 * * [simplify]: Extracting #1: cost 8 inf + 0 69.964 * * [simplify]: Extracting #2: cost 12 inf + 82 69.964 * * [simplify]: Extracting #3: cost 13 inf + 405 69.964 * * [simplify]: Extracting #4: cost 12 inf + 407 69.964 * * [simplify]: Extracting #5: cost 5 inf + 1223 69.965 * * [simplify]: Extracting #6: cost 0 inf + 1875 69.968 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 69.968 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))))) 69.968 * * * * [progress]: [ 29 / 226 ] simplifiying candidate # 69.969 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 69.969 * * [simplify]: iters left: 6 (9 enodes) 69.975 * * [simplify]: iters left: 5 (33 enodes) 69.984 * * [simplify]: iters left: 4 (43 enodes) 69.991 * * [simplify]: iters left: 3 (45 enodes) 69.998 * * [simplify]: Extracting #0: cost 1 inf + 0 69.998 * * [simplify]: Extracting #1: cost 8 inf + 0 69.998 * * [simplify]: Extracting #2: cost 16 inf + 0 69.998 * * [simplify]: Extracting #3: cost 16 inf + 284 69.998 * * [simplify]: Extracting #4: cost 11 inf + 610 69.998 * * [simplify]: Extracting #5: cost 8 inf + 775 69.998 * * [simplify]: Extracting #6: cost 0 inf + 2197 69.999 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 69.999 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 69.999 * * * * [progress]: [ 30 / 226 ] simplifiying candidate # 69.999 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 69.999 * * [simplify]: iters left: 6 (8 enodes) 70.002 * * [simplify]: iters left: 5 (30 enodes) 70.007 * * [simplify]: iters left: 4 (35 enodes) 70.013 * * [simplify]: Extracting #0: cost 1 inf + 0 70.013 * * [simplify]: Extracting #1: cost 6 inf + 0 70.013 * * [simplify]: Extracting #2: cost 8 inf + 42 70.013 * * [simplify]: Extracting #3: cost 11 inf + 83 70.013 * * [simplify]: Extracting #4: cost 10 inf + 85 70.013 * * [simplify]: Extracting #5: cost 4 inf + 538 70.014 * * [simplify]: Extracting #6: cost 0 inf + 987 70.014 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 70.014 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))))) 70.014 * * * * [progress]: [ 31 / 226 ] simplifiying candidate # 70.015 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 70.015 * * [simplify]: iters left: 6 (8 enodes) 70.020 * * [simplify]: iters left: 5 (30 enodes) 70.030 * * [simplify]: iters left: 4 (40 enodes) 70.042 * * [simplify]: iters left: 3 (42 enodes) 70.056 * * [simplify]: Extracting #0: cost 1 inf + 0 70.056 * * [simplify]: Extracting #1: cost 8 inf + 0 70.056 * * [simplify]: Extracting #2: cost 12 inf + 42 70.056 * * [simplify]: Extracting #3: cost 13 inf + 245 70.056 * * [simplify]: Extracting #4: cost 12 inf + 247 70.057 * * [simplify]: Extracting #5: cost 5 inf + 983 70.057 * * [simplify]: Extracting #6: cost 0 inf + 1555 70.058 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 70.058 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))))) 70.058 * * * * [progress]: [ 32 / 226 ] simplifiying candidate # 70.058 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 70.058 * * [simplify]: iters left: 6 (8 enodes) 70.063 * * [simplify]: iters left: 5 (30 enodes) 70.074 * * [simplify]: iters left: 4 (40 enodes) 70.086 * * [simplify]: iters left: 3 (42 enodes) 70.099 * * [simplify]: Extracting #0: cost 1 inf + 0 70.099 * * [simplify]: Extracting #1: cost 8 inf + 0 70.099 * * [simplify]: Extracting #2: cost 11 inf + 203 70.099 * * [simplify]: Extracting #3: cost 13 inf + 405 70.099 * * [simplify]: Extracting #4: cost 12 inf + 407 70.100 * * [simplify]: Extracting #5: cost 3 inf + 1549 70.100 * * [simplify]: Extracting #6: cost 0 inf + 1875 70.101 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 70.101 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))))) 70.101 * * * * [progress]: [ 33 / 226 ] simplifiying candidate # 70.103 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 70.103 * * [simplify]: iters left: 6 (8 enodes) 70.108 * * [simplify]: iters left: 5 (30 enodes) 70.118 * * [simplify]: iters left: 4 (40 enodes) 70.130 * * [simplify]: iters left: 3 (42 enodes) 70.142 * * [simplify]: Extracting #0: cost 1 inf + 0 70.143 * * [simplify]: Extracting #1: cost 8 inf + 0 70.143 * * [simplify]: Extracting #2: cost 11 inf + 123 70.143 * * [simplify]: Extracting #3: cost 13 inf + 245 70.143 * * [simplify]: Extracting #4: cost 12 inf + 247 70.143 * * [simplify]: Extracting #5: cost 3 inf + 1269 70.144 * * [simplify]: Extracting #6: cost 0 inf + 1555 70.145 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 70.145 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))))) 70.145 * * * * [progress]: [ 34 / 226 ] simplifiying candidate # 70.145 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 70.145 * * [simplify]: iters left: 6 (7 enodes) 70.150 * * [simplify]: iters left: 5 (28 enodes) 70.158 * * [simplify]: iters left: 4 (35 enodes) 70.165 * * [simplify]: Extracting #0: cost 1 inf + 0 70.165 * * [simplify]: Extracting #1: cost 6 inf + 0 70.165 * * [simplify]: Extracting #2: cost 7 inf + 2 70.165 * * [simplify]: Extracting #3: cost 11 inf + 2 70.165 * * [simplify]: Extracting #4: cost 9 inf + 45 70.165 * * [simplify]: Extracting #5: cost 4 inf + 375 70.165 * * [simplify]: Extracting #6: cost 0 inf + 826 70.166 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 70.166 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))))) 70.166 * * * * [progress]: [ 35 / 226 ] simplifiying candidate # 70.166 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 70.166 * * [simplify]: iters left: 6 (7 enodes) 70.168 * * [simplify]: iters left: 5 (30 enodes) 70.174 * * [simplify]: iters left: 4 (49 enodes) 70.182 * * [simplify]: iters left: 3 (59 enodes) 70.192 * * [simplify]: iters left: 2 (64 enodes) 70.209 * * [simplify]: Extracting #0: cost 1 inf + 0 70.210 * * [simplify]: Extracting #1: cost 9 inf + 0 70.210 * * [simplify]: Extracting #2: cost 23 inf + 0 70.210 * * [simplify]: Extracting #3: cost 24 inf + 3 70.210 * * [simplify]: Extracting #4: cost 15 inf + 980 70.211 * * [simplify]: Extracting #5: cost 1 inf + 3007 70.212 * * [simplify]: Extracting #6: cost 0 inf + 3169 70.213 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 70.213 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 70.213 * * * * [progress]: [ 36 / 226 ] simplifiying candidate # 70.214 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 70.214 * * [simplify]: iters left: 6 (8 enodes) 70.219 * * [simplify]: iters left: 5 (33 enodes) 70.226 * * [simplify]: iters left: 4 (55 enodes) 70.236 * * [simplify]: iters left: 3 (72 enodes) 70.247 * * [simplify]: iters left: 2 (84 enodes) 70.270 * * [simplify]: iters left: 1 (88 enodes) 70.293 * * [simplify]: Extracting #0: cost 1 inf + 0 70.293 * * [simplify]: Extracting #1: cost 11 inf + 0 70.293 * * [simplify]: Extracting #2: cost 30 inf + 0 70.293 * * [simplify]: Extracting #3: cost 33 inf + 84 70.294 * * [simplify]: Extracting #4: cost 12 inf + 2402 70.295 * * [simplify]: Extracting #5: cost 0 inf + 4469 70.296 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 70.296 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 70.297 * * * * [progress]: [ 37 / 226 ] simplifiying candidate # 70.297 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 70.297 * * [simplify]: iters left: 6 (7 enodes) 70.302 * * [simplify]: iters left: 5 (30 enodes) 70.313 * * [simplify]: iters left: 4 (52 enodes) 70.330 * * [simplify]: iters left: 3 (70 enodes) 70.351 * * [simplify]: iters left: 2 (81 enodes) 70.375 * * [simplify]: iters left: 1 (84 enodes) 70.397 * * [simplify]: Extracting #0: cost 1 inf + 0 70.397 * * [simplify]: Extracting #1: cost 11 inf + 0 70.397 * * [simplify]: Extracting #2: cost 25 inf + 203 70.397 * * [simplify]: Extracting #3: cost 25 inf + 530 70.398 * * [simplify]: Extracting #4: cost 4 inf + 2936 70.399 * * [simplify]: Extracting #5: cost 0 inf + 3504 70.400 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 70.400 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 70.401 * * * * [progress]: [ 38 / 226 ] simplifiying candidate # 70.401 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 70.401 * * [simplify]: iters left: 6 (8 enodes) 70.407 * * [simplify]: iters left: 5 (33 enodes) 70.420 * * [simplify]: iters left: 4 (55 enodes) 70.437 * * [simplify]: iters left: 3 (72 enodes) 70.457 * * [simplify]: iters left: 2 (84 enodes) 70.470 * * [simplify]: iters left: 1 (88 enodes) 70.482 * * [simplify]: Extracting #0: cost 1 inf + 0 70.482 * * [simplify]: Extracting #1: cost 11 inf + 0 70.482 * * [simplify]: Extracting #2: cost 30 inf + 0 70.482 * * [simplify]: Extracting #3: cost 33 inf + 44 70.483 * * [simplify]: Extracting #4: cost 12 inf + 2362 70.483 * * [simplify]: Extracting #5: cost 0 inf + 4469 70.484 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 70.484 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 70.484 * * * * [progress]: [ 39 / 226 ] simplifiying candidate # 70.485 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 70.485 * * [simplify]: iters left: 6 (7 enodes) 70.489 * * [simplify]: iters left: 5 (30 enodes) 70.502 * * [simplify]: iters left: 4 (48 enodes) 70.518 * * [simplify]: iters left: 3 (56 enodes) 70.533 * * [simplify]: Extracting #0: cost 1 inf + 0 70.533 * * [simplify]: Extracting #1: cost 8 inf + 0 70.533 * * [simplify]: Extracting #2: cost 15 inf + 43 70.533 * * [simplify]: Extracting #3: cost 16 inf + 86 70.534 * * [simplify]: Extracting #4: cost 5 inf + 911 70.534 * * [simplify]: Extracting #5: cost 1 inf + 1198 70.535 * * [simplify]: Extracting #6: cost 0 inf + 1320 70.536 * [simplify]: Simplified to (/ (- 1 k) 2) 70.536 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 70.536 * * * * [progress]: [ 40 / 226 ] simplifiying candidate # 70.536 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 70.536 * * [simplify]: iters left: 6 (7 enodes) 70.541 * * [simplify]: iters left: 5 (30 enodes) 70.551 * * [simplify]: iters left: 4 (52 enodes) 70.568 * * [simplify]: iters left: 3 (70 enodes) 70.589 * * [simplify]: iters left: 2 (81 enodes) 70.610 * * [simplify]: iters left: 1 (84 enodes) 70.632 * * [simplify]: Extracting #0: cost 1 inf + 0 70.632 * * [simplify]: Extracting #1: cost 11 inf + 0 70.632 * * [simplify]: Extracting #2: cost 25 inf + 123 70.633 * * [simplify]: Extracting #3: cost 25 inf + 330 70.633 * * [simplify]: Extracting #4: cost 4 inf + 2256 70.635 * * [simplify]: Extracting #5: cost 0 inf + 2704 70.636 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 70.636 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 70.636 * * * * [progress]: [ 41 / 226 ] simplifiying candidate # 70.636 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 70.637 * * [simplify]: iters left: 6 (7 enodes) 70.642 * * [simplify]: iters left: 5 (31 enodes) 70.653 * * [simplify]: iters left: 4 (51 enodes) 70.671 * * [simplify]: iters left: 3 (64 enodes) 70.690 * * [simplify]: iters left: 2 (77 enodes) 70.712 * * [simplify]: iters left: 1 (84 enodes) 70.735 * * [simplify]: Extracting #0: cost 1 inf + 0 70.735 * * [simplify]: Extracting #1: cost 11 inf + 0 70.735 * * [simplify]: Extracting #2: cost 26 inf + 82 70.735 * * [simplify]: Extracting #3: cost 24 inf + 692 70.736 * * [simplify]: Extracting #4: cost 3 inf + 3057 70.737 * * [simplify]: Extracting #5: cost 0 inf + 3504 70.738 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 70.739 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 70.739 * * * * [progress]: [ 42 / 226 ] simplifiying candidate # 70.739 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 70.739 * * [simplify]: iters left: 6 (7 enodes) 70.744 * * [simplify]: iters left: 5 (31 enodes) 70.752 * * [simplify]: iters left: 4 (51 enodes) 70.761 * * [simplify]: iters left: 3 (64 enodes) 70.771 * * [simplify]: iters left: 2 (77 enodes) 70.786 * * [simplify]: iters left: 1 (84 enodes) 70.808 * * [simplify]: Extracting #0: cost 1 inf + 0 70.808 * * [simplify]: Extracting #1: cost 11 inf + 0 70.808 * * [simplify]: Extracting #2: cost 26 inf + 42 70.808 * * [simplify]: Extracting #3: cost 24 inf + 452 70.809 * * [simplify]: Extracting #4: cost 3 inf + 2337 70.810 * * [simplify]: Extracting #5: cost 0 inf + 2704 70.812 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 70.812 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 70.812 * * * * [progress]: [ 43 / 226 ] simplifiying candidate # 70.813 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 70.813 * * [simplify]: iters left: 6 (6 enodes) 70.818 * * [simplify]: iters left: 5 (29 enodes) 70.828 * * [simplify]: iters left: 4 (44 enodes) 70.835 * * [simplify]: iters left: 3 (50 enodes) 70.843 * * [simplify]: iters left: 2 (57 enodes) 70.852 * * [simplify]: Extracting #0: cost 1 inf + 0 70.852 * * [simplify]: Extracting #1: cost 9 inf + 0 70.852 * * [simplify]: Extracting #2: cost 15 inf + 3 70.852 * * [simplify]: Extracting #3: cost 11 inf + 131 70.852 * * [simplify]: Extracting #4: cost 2 inf + 711 70.853 * * [simplify]: Extracting #5: cost 0 inf + 836 70.853 * [simplify]: Simplified to (- 1/4 (/ k 4)) 70.853 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 70.853 * * * * [progress]: [ 44 / 226 ] simplifiying candidate # 70.853 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 70.853 * * [simplify]: iters left: 6 (9 enodes) 70.856 * * [simplify]: iters left: 5 (36 enodes) 70.864 * * [simplify]: iters left: 4 (58 enodes) 70.882 * * [simplify]: iters left: 3 (71 enodes) 70.902 * * [simplify]: iters left: 2 (79 enodes) 70.925 * * [simplify]: iters left: 1 (80 enodes) 70.935 * * [simplify]: Extracting #0: cost 1 inf + 0 70.935 * * [simplify]: Extracting #1: cost 9 inf + 0 70.935 * * [simplify]: Extracting #2: cost 24 inf + 0 70.935 * * [simplify]: Extracting #3: cost 29 inf + 2 70.936 * * [simplify]: Extracting #4: cost 10 inf + 2233 70.936 * * [simplify]: Extracting #5: cost 1 inf + 4013 70.937 * * [simplify]: Extracting #6: cost 0 inf + 4135 70.938 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 70.938 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 70.938 * * * * [progress]: [ 45 / 226 ] simplifiying candidate # 70.938 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 70.938 * * [simplify]: iters left: 6 (10 enodes) 70.942 * * [simplify]: iters left: 5 (39 enodes) 70.949 * * [simplify]: iters left: 4 (64 enodes) 70.965 * * [simplify]: iters left: 3 (86 enodes) 70.979 * * [simplify]: iters left: 2 (99 enodes) 70.992 * * [simplify]: iters left: 1 (104 enodes) 71.009 * * [simplify]: Extracting #0: cost 1 inf + 0 71.009 * * [simplify]: Extracting #1: cost 11 inf + 0 71.009 * * [simplify]: Extracting #2: cost 31 inf + 0 71.009 * * [simplify]: Extracting #3: cost 39 inf + 2 71.010 * * [simplify]: Extracting #4: cost 22 inf + 1871 71.011 * * [simplify]: Extracting #5: cost 4 inf + 4865 71.015 * * [simplify]: Extracting #6: cost 0 inf + 5675 71.017 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 71.018 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 71.018 * * * * [progress]: [ 46 / 226 ] simplifiying candidate # 71.018 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 71.018 * * [simplify]: iters left: 6 (9 enodes) 71.024 * * [simplify]: iters left: 5 (36 enodes) 71.035 * * [simplify]: iters left: 4 (61 enodes) 71.045 * * [simplify]: iters left: 3 (84 enodes) 71.057 * * [simplify]: iters left: 2 (96 enodes) 71.079 * * [simplify]: iters left: 1 (100 enodes) 71.104 * * [simplify]: Extracting #0: cost 1 inf + 0 71.104 * * [simplify]: Extracting #1: cost 11 inf + 0 71.104 * * [simplify]: Extracting #2: cost 27 inf + 82 71.105 * * [simplify]: Extracting #3: cost 29 inf + 651 71.105 * * [simplify]: Extracting #4: cost 12 inf + 2763 71.106 * * [simplify]: Extracting #5: cost 1 inf + 4587 71.107 * * [simplify]: Extracting #6: cost 0 inf + 4710 71.108 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 71.108 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 71.108 * * * * [progress]: [ 47 / 226 ] simplifiying candidate # 71.108 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 71.108 * * [simplify]: iters left: 6 (10 enodes) 71.112 * * [simplify]: iters left: 5 (39 enodes) 71.119 * * [simplify]: iters left: 4 (64 enodes) 71.132 * * [simplify]: iters left: 3 (86 enodes) 71.146 * * [simplify]: iters left: 2 (99 enodes) 71.171 * * [simplify]: iters left: 1 (104 enodes) 71.184 * * [simplify]: Extracting #0: cost 1 inf + 0 71.184 * * [simplify]: Extracting #1: cost 11 inf + 0 71.184 * * [simplify]: Extracting #2: cost 31 inf + 0 71.184 * * [simplify]: Extracting #3: cost 39 inf + 2 71.185 * * [simplify]: Extracting #4: cost 22 inf + 1831 71.185 * * [simplify]: Extracting #5: cost 4 inf + 4785 71.186 * * [simplify]: Extracting #6: cost 0 inf + 5595 71.187 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 71.187 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 71.188 * * * * [progress]: [ 48 / 226 ] simplifiying candidate # 71.188 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 71.188 * * [simplify]: iters left: 6 (9 enodes) 71.191 * * [simplify]: iters left: 5 (36 enodes) 71.198 * * [simplify]: iters left: 4 (57 enodes) 71.216 * * [simplify]: iters left: 3 (73 enodes) 71.235 * * [simplify]: iters left: 2 (80 enodes) 71.250 * * [simplify]: iters left: 1 (81 enodes) 71.260 * * [simplify]: Extracting #0: cost 1 inf + 0 71.260 * * [simplify]: Extracting #1: cost 9 inf + 0 71.260 * * [simplify]: Extracting #2: cost 18 inf + 43 71.260 * * [simplify]: Extracting #3: cost 23 inf + 85 71.260 * * [simplify]: Extracting #4: cost 9 inf + 1271 71.261 * * [simplify]: Extracting #5: cost 0 inf + 2370 71.261 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 71.261 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 71.262 * * * * [progress]: [ 49 / 226 ] simplifiying candidate # 71.262 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 71.262 * * [simplify]: iters left: 6 (9 enodes) 71.265 * * [simplify]: iters left: 5 (36 enodes) 71.272 * * [simplify]: iters left: 4 (61 enodes) 71.291 * * [simplify]: iters left: 3 (84 enodes) 71.314 * * [simplify]: iters left: 2 (96 enodes) 71.336 * * [simplify]: iters left: 1 (100 enodes) 71.349 * * [simplify]: Extracting #0: cost 1 inf + 0 71.349 * * [simplify]: Extracting #1: cost 11 inf + 0 71.349 * * [simplify]: Extracting #2: cost 27 inf + 42 71.350 * * [simplify]: Extracting #3: cost 29 inf + 411 71.350 * * [simplify]: Extracting #4: cost 12 inf + 2163 71.351 * * [simplify]: Extracting #5: cost 1 inf + 3707 71.351 * * [simplify]: Extracting #6: cost 0 inf + 3830 71.352 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 71.352 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 71.352 * * * * [progress]: [ 50 / 226 ] simplifiying candidate # 71.352 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 71.353 * * [simplify]: iters left: 6 (9 enodes) 71.357 * * [simplify]: iters left: 5 (36 enodes) 71.365 * * [simplify]: iters left: 4 (62 enodes) 71.375 * * [simplify]: iters left: 3 (78 enodes) 71.396 * * [simplify]: iters left: 2 (90 enodes) 71.419 * * [simplify]: iters left: 1 (94 enodes) 71.443 * * [simplify]: Extracting #0: cost 1 inf + 0 71.443 * * [simplify]: Extracting #1: cost 11 inf + 0 71.443 * * [simplify]: Extracting #2: cost 27 inf + 1 71.443 * * [simplify]: Extracting #3: cost 29 inf + 409 71.444 * * [simplify]: Extracting #4: cost 12 inf + 2359 71.445 * * [simplify]: Extracting #5: cost 2 inf + 4022 71.447 * * [simplify]: Extracting #6: cost 0 inf + 4466 71.448 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 71.448 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 71.449 * * * * [progress]: [ 51 / 226 ] simplifiying candidate # 71.449 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 71.449 * * [simplify]: iters left: 6 (9 enodes) 71.455 * * [simplify]: iters left: 5 (36 enodes) 71.469 * * [simplify]: iters left: 4 (62 enodes) 71.486 * * [simplify]: iters left: 3 (78 enodes) 71.510 * * [simplify]: iters left: 2 (90 enodes) 71.533 * * [simplify]: iters left: 1 (94 enodes) 71.556 * * [simplify]: Extracting #0: cost 1 inf + 0 71.556 * * [simplify]: Extracting #1: cost 11 inf + 0 71.557 * * [simplify]: Extracting #2: cost 27 inf + 1 71.557 * * [simplify]: Extracting #3: cost 29 inf + 249 71.557 * * [simplify]: Extracting #4: cost 12 inf + 1879 71.559 * * [simplify]: Extracting #5: cost 2 inf + 3302 71.560 * * [simplify]: Extracting #6: cost 0 inf + 3666 71.562 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 71.562 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 71.562 * * * * [progress]: [ 52 / 226 ] simplifiying candidate # 71.563 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 71.563 * * [simplify]: iters left: 6 (8 enodes) 71.568 * * [simplify]: iters left: 5 (34 enodes) 71.581 * * [simplify]: iters left: 4 (58 enodes) 71.593 * * [simplify]: iters left: 3 (65 enodes) 71.601 * * [simplify]: Extracting #0: cost 1 inf + 0 71.602 * * [simplify]: Extracting #1: cost 8 inf + 0 71.602 * * [simplify]: Extracting #2: cost 14 inf + 3 71.602 * * [simplify]: Extracting #3: cost 17 inf + 5 71.602 * * [simplify]: Extracting #4: cost 12 inf + 292 71.602 * * [simplify]: Extracting #5: cost 1 inf + 1355 71.602 * * [simplify]: Extracting #6: cost 0 inf + 1478 71.603 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 71.603 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))))) 71.603 * * * * [progress]: [ 53 / 226 ] simplifiying candidate # 71.603 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 71.603 * * [simplify]: iters left: 6 (8 enodes) 71.606 * * [simplify]: iters left: 5 (33 enodes) 71.612 * * [simplify]: iters left: 4 (52 enodes) 71.620 * * [simplify]: iters left: 3 (62 enodes) 71.632 * * [simplify]: iters left: 2 (67 enodes) 71.641 * * [simplify]: Extracting #0: cost 1 inf + 0 71.641 * * [simplify]: Extracting #1: cost 9 inf + 0 71.641 * * [simplify]: Extracting #2: cost 23 inf + 0 71.642 * * [simplify]: Extracting #3: cost 24 inf + 285 71.642 * * [simplify]: Extracting #4: cost 18 inf + 975 71.643 * * [simplify]: Extracting #5: cost 7 inf + 2516 71.644 * * [simplify]: Extracting #6: cost 0 inf + 3891 71.645 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 71.645 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 71.645 * * * * [progress]: [ 54 / 226 ] simplifiying candidate # 71.646 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 71.646 * * [simplify]: iters left: 6 (9 enodes) 71.651 * * [simplify]: iters left: 5 (36 enodes) 71.665 * * [simplify]: iters left: 4 (58 enodes) 71.676 * * [simplify]: iters left: 3 (75 enodes) 71.688 * * [simplify]: iters left: 2 (87 enodes) 71.700 * * [simplify]: iters left: 1 (91 enodes) 71.724 * * [simplify]: Extracting #0: cost 1 inf + 0 71.724 * * [simplify]: Extracting #1: cost 11 inf + 0 71.724 * * [simplify]: Extracting #2: cost 30 inf + 0 71.724 * * [simplify]: Extracting #3: cost 36 inf + 83 71.724 * * [simplify]: Extracting #4: cost 30 inf + 451 71.725 * * [simplify]: Extracting #5: cost 10 inf + 3649 71.727 * * [simplify]: Extracting #6: cost 0 inf + 5431 71.729 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 71.729 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 71.729 * * * * [progress]: [ 55 / 226 ] simplifiying candidate # 71.730 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 71.730 * * [simplify]: iters left: 6 (8 enodes) 71.735 * * [simplify]: iters left: 5 (33 enodes) 71.748 * * [simplify]: iters left: 4 (55 enodes) 71.766 * * [simplify]: iters left: 3 (73 enodes) 71.780 * * [simplify]: iters left: 2 (84 enodes) 71.792 * * [simplify]: iters left: 1 (87 enodes) 71.804 * * [simplify]: Extracting #0: cost 1 inf + 0 71.804 * * [simplify]: Extracting #1: cost 11 inf + 0 71.804 * * [simplify]: Extracting #2: cost 25 inf + 203 71.804 * * [simplify]: Extracting #3: cost 29 inf + 407 71.805 * * [simplify]: Extracting #4: cost 24 inf + 896 71.806 * * [simplify]: Extracting #5: cost 9 inf + 2805 71.807 * * [simplify]: Extracting #6: cost 0 inf + 4466 71.808 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 71.808 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 71.809 * * * * [progress]: [ 56 / 226 ] simplifiying candidate # 71.809 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 71.809 * * [simplify]: iters left: 6 (9 enodes) 71.815 * * [simplify]: iters left: 5 (36 enodes) 71.828 * * [simplify]: iters left: 4 (58 enodes) 71.846 * * [simplify]: iters left: 3 (75 enodes) 71.870 * * [simplify]: iters left: 2 (87 enodes) 71.888 * * [simplify]: iters left: 1 (91 enodes) 71.900 * * [simplify]: Extracting #0: cost 1 inf + 0 71.901 * * [simplify]: Extracting #1: cost 11 inf + 0 71.901 * * [simplify]: Extracting #2: cost 30 inf + 0 71.901 * * [simplify]: Extracting #3: cost 36 inf + 43 71.901 * * [simplify]: Extracting #4: cost 30 inf + 451 71.901 * * [simplify]: Extracting #5: cost 10 inf + 3769 71.902 * * [simplify]: Extracting #6: cost 0 inf + 5431 71.903 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 71.903 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 71.903 * * * * [progress]: [ 57 / 226 ] simplifiying candidate # 71.904 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 71.904 * * [simplify]: iters left: 6 (8 enodes) 71.906 * * [simplify]: iters left: 5 (33 enodes) 71.916 * * [simplify]: iters left: 4 (51 enodes) 71.931 * * [simplify]: iters left: 3 (59 enodes) 71.945 * * [simplify]: Extracting #0: cost 1 inf + 0 71.945 * * [simplify]: Extracting #1: cost 8 inf + 0 71.945 * * [simplify]: Extracting #2: cost 15 inf + 43 71.945 * * [simplify]: Extracting #3: cost 19 inf + 85 71.945 * * [simplify]: Extracting #4: cost 16 inf + 250 71.945 * * [simplify]: Extracting #5: cost 5 inf + 1311 71.946 * * [simplify]: Extracting #6: cost 0 inf + 1962 71.946 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 71.946 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 71.946 * * * * [progress]: [ 58 / 226 ] simplifiying candidate # 71.946 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 71.946 * * [simplify]: iters left: 6 (8 enodes) 71.949 * * [simplify]: iters left: 5 (33 enodes) 71.955 * * [simplify]: iters left: 4 (55 enodes) 71.964 * * [simplify]: iters left: 3 (73 enodes) 71.984 * * [simplify]: iters left: 2 (84 enodes) 72.005 * * [simplify]: iters left: 1 (87 enodes) 72.017 * * [simplify]: Extracting #0: cost 1 inf + 0 72.017 * * [simplify]: Extracting #1: cost 11 inf + 0 72.017 * * [simplify]: Extracting #2: cost 25 inf + 123 72.017 * * [simplify]: Extracting #3: cost 29 inf + 247 72.017 * * [simplify]: Extracting #4: cost 24 inf + 576 72.018 * * [simplify]: Extracting #5: cost 9 inf + 2245 72.018 * * [simplify]: Extracting #6: cost 0 inf + 3666 72.019 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 72.019 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 72.019 * * * * [progress]: [ 59 / 226 ] simplifiying candidate # 72.020 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 72.020 * * [simplify]: iters left: 6 (8 enodes) 72.023 * * [simplify]: iters left: 5 (34 enodes) 72.029 * * [simplify]: iters left: 4 (54 enodes) 72.041 * * [simplify]: iters left: 3 (67 enodes) 72.060 * * [simplify]: iters left: 2 (80 enodes) 72.082 * * [simplify]: iters left: 1 (87 enodes) 72.496 * * [simplify]: Extracting #0: cost 1 inf + 0 72.496 * * [simplify]: Extracting #1: cost 11 inf + 0 72.496 * * [simplify]: Extracting #2: cost 25 inf + 203 72.497 * * [simplify]: Extracting #3: cost 26 inf + 773 72.497 * * [simplify]: Extracting #4: cost 24 inf + 896 72.498 * * [simplify]: Extracting #5: cost 8 inf + 3127 72.499 * * [simplify]: Extracting #6: cost 0 inf + 4466 72.501 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 72.502 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 72.502 * * * * [progress]: [ 60 / 226 ] simplifiying candidate # 72.502 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 72.502 * * [simplify]: iters left: 6 (8 enodes) 72.508 * * [simplify]: iters left: 5 (34 enodes) 72.519 * * [simplify]: iters left: 4 (54 enodes) 72.536 * * [simplify]: iters left: 3 (67 enodes) 72.552 * * [simplify]: iters left: 2 (80 enodes) 72.563 * * [simplify]: iters left: 1 (87 enodes) 72.575 * * [simplify]: Extracting #0: cost 1 inf + 0 72.575 * * [simplify]: Extracting #1: cost 11 inf + 0 72.575 * * [simplify]: Extracting #2: cost 25 inf + 123 72.575 * * [simplify]: Extracting #3: cost 26 inf + 493 72.575 * * [simplify]: Extracting #4: cost 24 inf + 576 72.576 * * [simplify]: Extracting #5: cost 8 inf + 2527 72.577 * * [simplify]: Extracting #6: cost 0 inf + 3666 72.577 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 72.577 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 72.577 * * * * [progress]: [ 61 / 226 ] simplifiying candidate # 72.578 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 72.578 * * [simplify]: iters left: 6 (7 enodes) 72.580 * * [simplify]: iters left: 5 (32 enodes) 72.592 * * [simplify]: iters left: 4 (50 enodes) 72.606 * * [simplify]: iters left: 3 (54 enodes) 72.624 * * [simplify]: Extracting #0: cost 1 inf + 0 72.624 * * [simplify]: Extracting #1: cost 8 inf + 0 72.624 * * [simplify]: Extracting #2: cost 13 inf + 3 72.625 * * [simplify]: Extracting #3: cost 15 inf + 5 72.625 * * [simplify]: Extracting #4: cost 14 inf + 6 72.625 * * [simplify]: Extracting #5: cost 4 inf + 825 72.626 * * [simplify]: Extracting #6: cost 0 inf + 1234 72.626 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 72.626 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))))) 72.626 * * * * [progress]: [ 62 / 226 ] simplifiying candidate # 72.627 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 72.627 * * [simplify]: iters left: 6 (7 enodes) 72.631 * * [simplify]: iters left: 5 (30 enodes) 72.642 * * [simplify]: iters left: 4 (49 enodes) 72.657 * * [simplify]: iters left: 3 (59 enodes) 72.675 * * [simplify]: iters left: 2 (64 enodes) 72.692 * * [simplify]: Extracting #0: cost 1 inf + 0 72.692 * * [simplify]: Extracting #1: cost 9 inf + 0 72.693 * * [simplify]: Extracting #2: cost 23 inf + 0 72.693 * * [simplify]: Extracting #3: cost 24 inf + 3 72.693 * * [simplify]: Extracting #4: cost 15 inf + 980 72.694 * * [simplify]: Extracting #5: cost 1 inf + 3007 72.695 * * [simplify]: Extracting #6: cost 0 inf + 3169 72.696 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 72.696 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 72.696 * * * * [progress]: [ 63 / 226 ] simplifiying candidate # 72.696 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 72.697 * * [simplify]: iters left: 6 (8 enodes) 72.702 * * [simplify]: iters left: 5 (33 enodes) 72.714 * * [simplify]: iters left: 4 (55 enodes) 72.724 * * [simplify]: iters left: 3 (72 enodes) 72.735 * * [simplify]: iters left: 2 (84 enodes) 72.751 * * [simplify]: iters left: 1 (88 enodes) 72.767 * * [simplify]: Extracting #0: cost 1 inf + 0 72.767 * * [simplify]: Extracting #1: cost 11 inf + 0 72.767 * * [simplify]: Extracting #2: cost 30 inf + 0 72.767 * * [simplify]: Extracting #3: cost 33 inf + 84 72.768 * * [simplify]: Extracting #4: cost 12 inf + 2402 72.768 * * [simplify]: Extracting #5: cost 0 inf + 4469 72.769 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 72.769 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 72.769 * * * * [progress]: [ 64 / 226 ] simplifiying candidate # 72.770 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 72.770 * * [simplify]: iters left: 6 (7 enodes) 72.773 * * [simplify]: iters left: 5 (30 enodes) 72.779 * * [simplify]: iters left: 4 (52 enodes) 72.788 * * [simplify]: iters left: 3 (70 enodes) 72.804 * * [simplify]: iters left: 2 (81 enodes) 72.816 * * [simplify]: iters left: 1 (84 enodes) 72.827 * * [simplify]: Extracting #0: cost 1 inf + 0 72.827 * * [simplify]: Extracting #1: cost 11 inf + 0 72.827 * * [simplify]: Extracting #2: cost 25 inf + 203 72.827 * * [simplify]: Extracting #3: cost 25 inf + 530 72.827 * * [simplify]: Extracting #4: cost 4 inf + 2936 72.828 * * [simplify]: Extracting #5: cost 0 inf + 3504 72.829 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 72.829 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 72.829 * * * * [progress]: [ 65 / 226 ] simplifiying candidate # 72.829 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 72.829 * * [simplify]: iters left: 6 (8 enodes) 72.832 * * [simplify]: iters left: 5 (33 enodes) 72.839 * * [simplify]: iters left: 4 (55 enodes) 72.860 * * [simplify]: iters left: 3 (72 enodes) 72.873 * * [simplify]: iters left: 2 (84 enodes) 72.887 * * [simplify]: iters left: 1 (88 enodes) 72.904 * * [simplify]: Extracting #0: cost 1 inf + 0 72.904 * * [simplify]: Extracting #1: cost 11 inf + 0 72.904 * * [simplify]: Extracting #2: cost 30 inf + 0 72.904 * * [simplify]: Extracting #3: cost 33 inf + 44 72.905 * * [simplify]: Extracting #4: cost 12 inf + 2362 72.906 * * [simplify]: Extracting #5: cost 0 inf + 4469 72.908 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 72.908 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 72.908 * * * * [progress]: [ 66 / 226 ] simplifiying candidate # 72.908 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 72.908 * * [simplify]: iters left: 6 (7 enodes) 72.913 * * [simplify]: iters left: 5 (30 enodes) 72.924 * * [simplify]: iters left: 4 (48 enodes) 72.939 * * [simplify]: iters left: 3 (56 enodes) 72.954 * * [simplify]: Extracting #0: cost 1 inf + 0 72.954 * * [simplify]: Extracting #1: cost 8 inf + 0 72.955 * * [simplify]: Extracting #2: cost 15 inf + 43 72.955 * * [simplify]: Extracting #3: cost 16 inf + 86 72.955 * * [simplify]: Extracting #4: cost 5 inf + 911 72.956 * * [simplify]: Extracting #5: cost 1 inf + 1198 72.957 * * [simplify]: Extracting #6: cost 0 inf + 1320 72.957 * [simplify]: Simplified to (/ (- 1 k) 2) 72.957 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 72.957 * * * * [progress]: [ 67 / 226 ] simplifiying candidate # 72.958 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 72.958 * * [simplify]: iters left: 6 (7 enodes) 72.962 * * [simplify]: iters left: 5 (30 enodes) 72.973 * * [simplify]: iters left: 4 (52 enodes) 72.992 * * [simplify]: iters left: 3 (70 enodes) 73.003 * * [simplify]: iters left: 2 (81 enodes) 73.015 * * [simplify]: iters left: 1 (84 enodes) 73.031 * * [simplify]: Extracting #0: cost 1 inf + 0 73.031 * * [simplify]: Extracting #1: cost 11 inf + 0 73.031 * * [simplify]: Extracting #2: cost 25 inf + 123 73.032 * * [simplify]: Extracting #3: cost 25 inf + 330 73.032 * * [simplify]: Extracting #4: cost 4 inf + 2256 73.034 * * [simplify]: Extracting #5: cost 0 inf + 2704 73.035 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 73.035 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 73.035 * * * * [progress]: [ 68 / 226 ] simplifiying candidate # 73.035 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 73.036 * * [simplify]: iters left: 6 (7 enodes) 73.040 * * [simplify]: iters left: 5 (31 enodes) 73.052 * * [simplify]: iters left: 4 (51 enodes) 73.061 * * [simplify]: iters left: 3 (64 enodes) 73.070 * * [simplify]: iters left: 2 (77 enodes) 73.086 * * [simplify]: iters left: 1 (84 enodes) 73.109 * * [simplify]: Extracting #0: cost 1 inf + 0 73.109 * * [simplify]: Extracting #1: cost 11 inf + 0 73.110 * * [simplify]: Extracting #2: cost 26 inf + 82 73.110 * * [simplify]: Extracting #3: cost 24 inf + 692 73.111 * * [simplify]: Extracting #4: cost 3 inf + 3057 73.112 * * [simplify]: Extracting #5: cost 0 inf + 3504 73.113 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 73.113 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 73.113 * * * * [progress]: [ 69 / 226 ] simplifiying candidate # 73.114 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 73.114 * * [simplify]: iters left: 6 (7 enodes) 73.119 * * [simplify]: iters left: 5 (31 enodes) 73.130 * * [simplify]: iters left: 4 (51 enodes) 73.147 * * [simplify]: iters left: 3 (64 enodes) 73.165 * * [simplify]: iters left: 2 (77 enodes) 73.186 * * [simplify]: iters left: 1 (84 enodes) 73.208 * * [simplify]: Extracting #0: cost 1 inf + 0 73.208 * * [simplify]: Extracting #1: cost 11 inf + 0 73.208 * * [simplify]: Extracting #2: cost 26 inf + 42 73.209 * * [simplify]: Extracting #3: cost 24 inf + 452 73.210 * * [simplify]: Extracting #4: cost 3 inf + 2337 73.211 * * [simplify]: Extracting #5: cost 0 inf + 2704 73.212 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 73.212 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 73.212 * * * * [progress]: [ 70 / 226 ] simplifiying candidate # 73.212 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 73.213 * * [simplify]: iters left: 6 (6 enodes) 73.215 * * [simplify]: iters left: 5 (29 enodes) 73.221 * * [simplify]: iters left: 4 (44 enodes) 73.228 * * [simplify]: iters left: 3 (50 enodes) 73.238 * * [simplify]: iters left: 2 (57 enodes) 73.248 * * [simplify]: Extracting #0: cost 1 inf + 0 73.248 * * [simplify]: Extracting #1: cost 9 inf + 0 73.248 * * [simplify]: Extracting #2: cost 15 inf + 3 73.248 * * [simplify]: Extracting #3: cost 11 inf + 131 73.249 * * [simplify]: Extracting #4: cost 2 inf + 711 73.249 * * [simplify]: Extracting #5: cost 0 inf + 836 73.250 * [simplify]: Simplified to (- 1/4 (/ k 4)) 73.250 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 73.250 * * * * [progress]: [ 71 / 226 ] simplifiying candidate # 73.250 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 73.250 * * [simplify]: iters left: 6 (7 enodes) 73.256 * * [simplify]: iters left: 5 (31 enodes) 73.267 * * [simplify]: iters left: 4 (51 enodes) 73.283 * * [simplify]: iters left: 3 (64 enodes) 73.302 * * [simplify]: iters left: 2 (77 enodes) 73.324 * * [simplify]: iters left: 1 (84 enodes) 73.346 * * [simplify]: Extracting #0: cost 1 inf + 0 73.346 * * [simplify]: Extracting #1: cost 11 inf + 0 73.346 * * [simplify]: Extracting #2: cost 26 inf + 82 73.346 * * [simplify]: Extracting #3: cost 24 inf + 692 73.347 * * [simplify]: Extracting #4: cost 3 inf + 3057 73.348 * * [simplify]: Extracting #5: cost 0 inf + 3504 73.350 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 73.350 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 73.350 * * * * [progress]: [ 72 / 226 ] simplifiying candidate # 73.350 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 73.350 * * [simplify]: iters left: 6 (7 enodes) 73.355 * * [simplify]: iters left: 5 (31 enodes) 73.366 * * [simplify]: iters left: 4 (51 enodes) 73.384 * * [simplify]: iters left: 3 (64 enodes) 73.397 * * [simplify]: iters left: 2 (77 enodes) 73.408 * * [simplify]: iters left: 1 (84 enodes) 73.426 * * [simplify]: Extracting #0: cost 1 inf + 0 73.427 * * [simplify]: Extracting #1: cost 11 inf + 0 73.427 * * [simplify]: Extracting #2: cost 26 inf + 42 73.427 * * [simplify]: Extracting #3: cost 24 inf + 452 73.428 * * [simplify]: Extracting #4: cost 3 inf + 2337 73.429 * * [simplify]: Extracting #5: cost 0 inf + 2704 73.430 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 73.430 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 73.430 * * * * [progress]: [ 73 / 226 ] simplifiying candidate # 73.431 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 73.431 * * [simplify]: iters left: 6 (6 enodes) 73.436 * * [simplify]: iters left: 5 (29 enodes) 73.445 * * [simplify]: iters left: 4 (44 enodes) 73.452 * * [simplify]: iters left: 3 (50 enodes) 73.461 * * [simplify]: iters left: 2 (57 enodes) 73.469 * * [simplify]: Extracting #0: cost 1 inf + 0 73.469 * * [simplify]: Extracting #1: cost 9 inf + 0 73.469 * * [simplify]: Extracting #2: cost 15 inf + 3 73.470 * * [simplify]: Extracting #3: cost 11 inf + 131 73.470 * * [simplify]: Extracting #4: cost 2 inf + 711 73.470 * * [simplify]: Extracting #5: cost 0 inf + 836 73.470 * [simplify]: Simplified to (- 1/4 (/ k 4)) 73.470 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4)))))) 73.470 * * * * [progress]: [ 74 / 226 ] simplifiying candidate # 73.471 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 73.471 * * [simplify]: iters left: 4 (5 enodes) 73.473 * * [simplify]: iters left: 3 (20 enodes) 73.478 * * [simplify]: iters left: 2 (27 enodes) 73.489 * * [simplify]: iters left: 1 (29 enodes) 73.498 * * [simplify]: Extracting #0: cost 1 inf + 0 73.498 * * [simplify]: Extracting #1: cost 8 inf + 0 73.498 * * [simplify]: Extracting #2: cost 4 inf + 449 73.498 * * [simplify]: Extracting #3: cost 0 inf + 895 73.499 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 73.499 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))))) 73.499 * * * * [progress]: [ 75 / 226 ] simplifiying candidate # 73.499 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 73.499 * * [simplify]: iters left: 4 (5 enodes) 73.503 * * [simplify]: iters left: 3 (20 enodes) 73.510 * * [simplify]: iters left: 2 (27 enodes) 73.519 * * [simplify]: iters left: 1 (29 enodes) 73.528 * * [simplify]: Extracting #0: cost 1 inf + 0 73.528 * * [simplify]: Extracting #1: cost 8 inf + 0 73.529 * * [simplify]: Extracting #2: cost 4 inf + 289 73.529 * * [simplify]: Extracting #3: cost 0 inf + 575 73.529 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 73.529 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))))) 73.529 * * * * [progress]: [ 76 / 226 ] simplifiying candidate # 73.530 * [simplify]: Simplifying (/ (/ 1 2) 2) 73.530 * * [simplify]: iters left: 4 (4 enodes) 73.534 * * [simplify]: iters left: 3 (19 enodes) 73.541 * * [simplify]: iters left: 2 (23 enodes) 73.549 * * [simplify]: Extracting #0: cost 1 inf + 0 73.549 * * [simplify]: Extracting #1: cost 0 inf + 1 73.549 * [simplify]: Simplified to 1/4 73.549 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4)))) 73.549 * * * * [progress]: [ 77 / 226 ] simplifiying candidate # 73.550 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 73.550 * * [simplify]: iters left: 6 (6 enodes) 73.554 * * [simplify]: iters left: 5 (29 enodes) 73.565 * * [simplify]: iters left: 4 (44 enodes) 73.578 * * [simplify]: iters left: 3 (50 enodes) 73.593 * * [simplify]: iters left: 2 (57 enodes) 73.609 * * [simplify]: Extracting #0: cost 1 inf + 0 73.609 * * [simplify]: Extracting #1: cost 9 inf + 0 73.609 * * [simplify]: Extracting #2: cost 15 inf + 3 73.609 * * [simplify]: Extracting #3: cost 11 inf + 131 73.610 * * [simplify]: Extracting #4: cost 2 inf + 711 73.610 * * [simplify]: Extracting #5: cost 0 inf + 836 73.610 * [simplify]: Simplified to (- 1/4 (/ k 4)) 73.611 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4)))))) 73.611 * * * * [progress]: [ 78 / 226 ] simplifiying candidate # 73.611 * [simplify]: Simplifying (/ 1 2) 73.611 * * [simplify]: iters left: 2 (3 enodes) 73.614 * * [simplify]: iters left: 1 (12 enodes) 73.619 * * [simplify]: Extracting #0: cost 1 inf + 0 73.619 * * [simplify]: Extracting #1: cost 0 inf + 1 73.619 * [simplify]: Simplified to 1/2 73.619 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2)))) 73.619 * * * * [progress]: [ 79 / 226 ] simplifiying candidate # 73.619 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 73.619 * * [simplify]: iters left: 6 (8 enodes) 73.625 * * [simplify]: iters left: 5 (38 enodes) 73.640 * * [simplify]: iters left: 4 (66 enodes) 73.665 * * [simplify]: iters left: 3 (110 enodes) 73.703 * * [simplify]: iters left: 2 (200 enodes) 73.777 * * [simplify]: iters left: 1 (403 enodes) 73.930 * * [simplify]: Extracting #0: cost 1 inf + 0 73.931 * * [simplify]: Extracting #1: cost 26 inf + 0 73.931 * * [simplify]: Extracting #2: cost 100 inf + 2 73.932 * * [simplify]: Extracting #3: cost 164 inf + 10 73.934 * * [simplify]: Extracting #4: cost 157 inf + 1472 73.941 * * [simplify]: Extracting #5: cost 64 inf + 19273 73.956 * * [simplify]: Extracting #6: cost 8 inf + 47461 73.977 * * [simplify]: Extracting #7: cost 0 inf + 52807 73.993 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 73.993 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 73.994 * * * * [progress]: [ 80 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 81 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 82 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 83 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 84 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 85 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 86 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 87 / 226 ] simplifiying candidate # 73.994 * * * * [progress]: [ 88 / 226 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))> 73.994 * * * * [progress]: [ 89 / 226 ] simplifiying candidate # 73.995 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 73.995 * * [simplify]: iters left: 6 (14 enodes) 74.004 * * [simplify]: iters left: 5 (60 enodes) 74.023 * * [simplify]: iters left: 4 (108 enodes) 74.044 * * [simplify]: iters left: 3 (249 enodes) 74.114 * * [simplify]: Extracting #0: cost 1 inf + 0 74.114 * * [simplify]: Extracting #1: cost 28 inf + 0 74.114 * * [simplify]: Extracting #2: cost 114 inf + 2 74.115 * * [simplify]: Extracting #3: cost 151 inf + 301 74.116 * * [simplify]: Extracting #4: cost 84 inf + 10352 74.121 * * [simplify]: Extracting #5: cost 17 inf + 27228 74.127 * * [simplify]: Extracting #6: cost 0 inf + 31848 74.133 * * [simplify]: Extracting #7: cost 0 inf + 31808 74.139 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 74.139 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.139 * * * * [progress]: [ 90 / 226 ] simplifiying candidate # 74.139 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 74.139 * * [simplify]: iters left: 6 (13 enodes) 74.144 * * [simplify]: iters left: 5 (58 enodes) 74.154 * * [simplify]: iters left: 4 (101 enodes) 74.175 * * [simplify]: iters left: 3 (207 enodes) 74.257 * * [simplify]: iters left: 2 (498 enodes) 74.429 * * [simplify]: Extracting #0: cost 1 inf + 0 74.429 * * [simplify]: Extracting #1: cost 58 inf + 0 74.430 * * [simplify]: Extracting #2: cost 205 inf + 4 74.433 * * [simplify]: Extracting #3: cost 244 inf + 1075 74.439 * * [simplify]: Extracting #4: cost 137 inf + 20618 74.459 * * [simplify]: Extracting #5: cost 12 inf + 54441 74.488 * * [simplify]: Extracting #6: cost 0 inf + 58827 74.512 * * [simplify]: Extracting #7: cost 0 inf + 58826 74.534 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4) 74.534 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.534 * * * * [progress]: [ 91 / 226 ] simplifiying candidate # 74.534 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 74.534 * * [simplify]: iters left: 6 (12 enodes) 74.539 * * [simplify]: iters left: 5 (57 enodes) 74.549 * * [simplify]: iters left: 4 (111 enodes) 74.570 * * [simplify]: iters left: 3 (212 enodes) 74.630 * * [simplify]: iters left: 2 (446 enodes) 74.743 * * [simplify]: Extracting #0: cost 1 inf + 0 74.744 * * [simplify]: Extracting #1: cost 34 inf + 0 74.744 * * [simplify]: Extracting #2: cost 143 inf + 4 74.745 * * [simplify]: Extracting #3: cost 200 inf + 396 74.747 * * [simplify]: Extracting #4: cost 133 inf + 9596 74.757 * * [simplify]: Extracting #5: cost 32 inf + 30294 74.772 * * [simplify]: Extracting #6: cost 1 inf + 36989 74.787 * * [simplify]: Extracting #7: cost 0 inf + 37182 74.796 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 74.796 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.796 * * * * [progress]: [ 92 / 226 ] simplifiying candidate # 74.796 * * * * [progress]: [ 93 / 226 ] simplifiying candidate # 74.796 * [simplify]: Simplifying (* n (* 2 PI)) 74.797 * * [simplify]: iters left: 4 (5 enodes) 74.799 * * [simplify]: iters left: 3 (19 enodes) 74.802 * * [simplify]: iters left: 2 (27 enodes) 74.806 * * [simplify]: iters left: 1 (32 enodes) 74.811 * * [simplify]: Extracting #0: cost 1 inf + 0 74.811 * * [simplify]: Extracting #1: cost 8 inf + 0 74.811 * * [simplify]: Extracting #2: cost 7 inf + 45 74.811 * * [simplify]: Extracting #3: cost 0 inf + 421 74.811 * [simplify]: Simplified to (* (* PI 2) n) 74.811 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.811 * * * * [progress]: [ 94 / 226 ] simplifiying candidate # 74.811 * [simplify]: Simplifying (* n (* 2 PI)) 74.811 * * [simplify]: iters left: 4 (5 enodes) 74.813 * * [simplify]: iters left: 3 (19 enodes) 74.816 * * [simplify]: iters left: 2 (27 enodes) 74.820 * * [simplify]: iters left: 1 (32 enodes) 74.825 * * [simplify]: Extracting #0: cost 1 inf + 0 74.825 * * [simplify]: Extracting #1: cost 8 inf + 0 74.825 * * [simplify]: Extracting #2: cost 7 inf + 45 74.825 * * [simplify]: Extracting #3: cost 0 inf + 421 74.825 * [simplify]: Simplified to (* (* PI 2) n) 74.825 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.825 * * * * [progress]: [ 95 / 226 ] simplifiying candidate # 74.825 * [simplify]: Simplifying (* n (* 2 PI)) 74.826 * * [simplify]: iters left: 4 (5 enodes) 74.827 * * [simplify]: iters left: 3 (19 enodes) 74.830 * * [simplify]: iters left: 2 (27 enodes) 74.836 * * [simplify]: iters left: 1 (32 enodes) 74.844 * * [simplify]: Extracting #0: cost 1 inf + 0 74.844 * * [simplify]: Extracting #1: cost 8 inf + 0 74.844 * * [simplify]: Extracting #2: cost 7 inf + 45 74.844 * * [simplify]: Extracting #3: cost 0 inf + 421 74.845 * [simplify]: Simplified to (* (* PI 2) n) 74.845 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.845 * * * * [progress]: [ 96 / 226 ] simplifiying candidate # 74.845 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 74.845 * * [simplify]: iters left: 5 (9 enodes) 74.851 * * [simplify]: iters left: 4 (37 enodes) 74.863 * * [simplify]: iters left: 3 (57 enodes) 74.884 * * [simplify]: iters left: 2 (93 enodes) 74.907 * * [simplify]: iters left: 1 (170 enodes) 74.946 * * [simplify]: Extracting #0: cost 1 inf + 0 74.946 * * [simplify]: Extracting #1: cost 13 inf + 0 74.946 * * [simplify]: Extracting #2: cost 59 inf + 1 74.947 * * [simplify]: Extracting #3: cost 78 inf + 176 74.948 * * [simplify]: Extracting #4: cost 40 inf + 3875 74.953 * * [simplify]: Extracting #5: cost 7 inf + 16988 74.959 * * [simplify]: Extracting #6: cost 0 inf + 20577 74.964 * * [simplify]: Extracting #7: cost 0 inf + 20336 74.970 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 74.970 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 74.970 * * * * [progress]: [ 97 / 226 ] simplifiying candidate # 74.971 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 74.971 * * [simplify]: iters left: 6 (7 enodes) 74.976 * * [simplify]: iters left: 5 (32 enodes) 74.989 * * [simplify]: iters left: 4 (47 enodes) 75.003 * * [simplify]: iters left: 3 (53 enodes) 75.019 * * [simplify]: iters left: 2 (60 enodes) 75.035 * * [simplify]: Extracting #0: cost 1 inf + 0 75.035 * * [simplify]: Extracting #1: cost 3 inf + 0 75.035 * * [simplify]: Extracting #2: cost 11 inf + 0 75.035 * * [simplify]: Extracting #3: cost 17 inf + 3 75.035 * * [simplify]: Extracting #4: cost 14 inf + 129 75.036 * * [simplify]: Extracting #5: cost 3 inf + 794 75.036 * * [simplify]: Extracting #6: cost 0 inf + 1162 75.037 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 75.037 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.037 * * * * [progress]: [ 98 / 226 ] simplifiying candidate # 75.037 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 75.038 * * [simplify]: iters left: 6 (7 enodes) 75.042 * * [simplify]: iters left: 5 (32 enodes) 75.054 * * [simplify]: iters left: 4 (47 enodes) 75.068 * * [simplify]: iters left: 3 (53 enodes) 75.084 * * [simplify]: iters left: 2 (60 enodes) 75.100 * * [simplify]: Extracting #0: cost 1 inf + 0 75.100 * * [simplify]: Extracting #1: cost 3 inf + 0 75.100 * * [simplify]: Extracting #2: cost 11 inf + 0 75.100 * * [simplify]: Extracting #3: cost 17 inf + 3 75.100 * * [simplify]: Extracting #4: cost 14 inf + 129 75.101 * * [simplify]: Extracting #5: cost 3 inf + 794 75.101 * * [simplify]: Extracting #6: cost 0 inf + 1082 75.102 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 75.102 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.102 * * * * [progress]: [ 99 / 226 ] simplifiying candidate # 75.102 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 75.103 * * [simplify]: iters left: 6 (8 enodes) 75.108 * * [simplify]: iters left: 5 (32 enodes) 75.119 * * [simplify]: iters left: 4 (41 enodes) 75.133 * * [simplify]: Extracting #0: cost 1 inf + 0 75.133 * * [simplify]: Extracting #1: cost 4 inf + 0 75.133 * * [simplify]: Extracting #2: cost 8 inf + 0 75.134 * * [simplify]: Extracting #3: cost 9 inf + 163 75.134 * * [simplify]: Extracting #4: cost 13 inf + 164 75.134 * * [simplify]: Extracting #5: cost 10 inf + 249 75.134 * * [simplify]: Extracting #6: cost 3 inf + 986 75.135 * * [simplify]: Extracting #7: cost 0 inf + 1474 75.135 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 75.135 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.135 * * * * [progress]: [ 100 / 226 ] simplifiying candidate # 75.136 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 75.136 * * [simplify]: iters left: 6 (8 enodes) 75.141 * * [simplify]: iters left: 5 (32 enodes) 75.152 * * [simplify]: iters left: 4 (41 enodes) 75.164 * * [simplify]: Extracting #0: cost 1 inf + 0 75.164 * * [simplify]: Extracting #1: cost 4 inf + 0 75.164 * * [simplify]: Extracting #2: cost 8 inf + 0 75.164 * * [simplify]: Extracting #3: cost 9 inf + 83 75.164 * * [simplify]: Extracting #4: cost 13 inf + 84 75.164 * * [simplify]: Extracting #5: cost 10 inf + 169 75.164 * * [simplify]: Extracting #6: cost 3 inf + 866 75.165 * * [simplify]: Extracting #7: cost 0 inf + 1314 75.165 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 75.165 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.166 * * * * [progress]: [ 101 / 226 ] simplifiying candidate # 75.166 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 75.166 * * [simplify]: iters left: 6 (7 enodes) 75.171 * * [simplify]: iters left: 5 (29 enodes) 75.180 * * [simplify]: iters left: 4 (38 enodes) 75.188 * * [simplify]: Extracting #0: cost 1 inf + 0 75.188 * * [simplify]: Extracting #1: cost 4 inf + 0 75.188 * * [simplify]: Extracting #2: cost 5 inf + 1 75.188 * * [simplify]: Extracting #3: cost 9 inf + 1 75.188 * * [simplify]: Extracting #4: cost 13 inf + 2 75.188 * * [simplify]: Extracting #5: cost 12 inf + 4 75.188 * * [simplify]: Extracting #6: cost 2 inf + 746 75.189 * * [simplify]: Extracting #7: cost 0 inf + 1152 75.189 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 75.189 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.189 * * * * [progress]: [ 102 / 226 ] simplifiying candidate # 75.189 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 75.189 * * [simplify]: iters left: 6 (8 enodes) 75.192 * * [simplify]: iters left: 5 (32 enodes) 75.197 * * [simplify]: iters left: 4 (41 enodes) 75.204 * * [simplify]: Extracting #0: cost 1 inf + 0 75.204 * * [simplify]: Extracting #1: cost 4 inf + 0 75.204 * * [simplify]: Extracting #2: cost 8 inf + 0 75.204 * * [simplify]: Extracting #3: cost 9 inf + 163 75.204 * * [simplify]: Extracting #4: cost 13 inf + 164 75.204 * * [simplify]: Extracting #5: cost 10 inf + 249 75.204 * * [simplify]: Extracting #6: cost 3 inf + 906 75.204 * * [simplify]: Extracting #7: cost 0 inf + 1314 75.205 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 75.205 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.205 * * * * [progress]: [ 103 / 226 ] simplifiying candidate # 75.205 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 75.205 * * [simplify]: iters left: 6 (8 enodes) 75.208 * * [simplify]: iters left: 5 (32 enodes) 75.213 * * [simplify]: iters left: 4 (41 enodes) 75.219 * * [simplify]: Extracting #0: cost 1 inf + 0 75.220 * * [simplify]: Extracting #1: cost 4 inf + 0 75.220 * * [simplify]: Extracting #2: cost 8 inf + 0 75.220 * * [simplify]: Extracting #3: cost 9 inf + 83 75.220 * * [simplify]: Extracting #4: cost 13 inf + 84 75.220 * * [simplify]: Extracting #5: cost 10 inf + 169 75.220 * * [simplify]: Extracting #6: cost 3 inf + 786 75.220 * * [simplify]: Extracting #7: cost 0 inf + 1154 75.220 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 75.220 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.221 * * * * [progress]: [ 104 / 226 ] simplifiying candidate # 75.221 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 75.221 * * [simplify]: iters left: 6 (7 enodes) 75.223 * * [simplify]: iters left: 5 (29 enodes) 75.228 * * [simplify]: iters left: 4 (38 enodes) 75.234 * * [simplify]: Extracting #0: cost 1 inf + 0 75.234 * * [simplify]: Extracting #1: cost 4 inf + 0 75.234 * * [simplify]: Extracting #2: cost 5 inf + 1 75.234 * * [simplify]: Extracting #3: cost 9 inf + 1 75.234 * * [simplify]: Extracting #4: cost 13 inf + 2 75.234 * * [simplify]: Extracting #5: cost 12 inf + 4 75.234 * * [simplify]: Extracting #6: cost 2 inf + 666 75.234 * * [simplify]: Extracting #7: cost 0 inf + 992 75.234 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 75.234 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.234 * * * * [progress]: [ 105 / 226 ] simplifiying candidate # 75.235 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 75.235 * * [simplify]: iters left: 6 (8 enodes) 75.239 * * [simplify]: iters left: 5 (30 enodes) 75.249 * * [simplify]: iters left: 4 (37 enodes) 75.260 * * [simplify]: Extracting #0: cost 1 inf + 0 75.260 * * [simplify]: Extracting #1: cost 6 inf + 0 75.260 * * [simplify]: Extracting #2: cost 12 inf + 0 75.260 * * [simplify]: Extracting #3: cost 11 inf + 405 75.261 * * [simplify]: Extracting #4: cost 10 inf + 407 75.261 * * [simplify]: Extracting #5: cost 4 inf + 1220 75.261 * * [simplify]: Extracting #6: cost 0 inf + 1869 75.262 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 75.262 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.262 * * * * [progress]: [ 106 / 226 ] simplifiying candidate # 75.263 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 75.263 * * [simplify]: iters left: 6 (9 enodes) 75.268 * * [simplify]: iters left: 5 (33 enodes) 75.280 * * [simplify]: iters left: 4 (43 enodes) 75.293 * * [simplify]: iters left: 3 (45 enodes) 75.306 * * [simplify]: Extracting #0: cost 1 inf + 0 75.306 * * [simplify]: Extracting #1: cost 8 inf + 0 75.306 * * [simplify]: Extracting #2: cost 16 inf + 0 75.306 * * [simplify]: Extracting #3: cost 16 inf + 284 75.307 * * [simplify]: Extracting #4: cost 11 inf + 610 75.307 * * [simplify]: Extracting #5: cost 8 inf + 815 75.307 * * [simplify]: Extracting #6: cost 0 inf + 2517 75.308 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 75.308 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.308 * * * * [progress]: [ 107 / 226 ] simplifiying candidate # 75.309 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 75.309 * * [simplify]: iters left: 6 (8 enodes) 75.314 * * [simplify]: iters left: 5 (30 enodes) 75.324 * * [simplify]: iters left: 4 (40 enodes) 75.336 * * [simplify]: iters left: 3 (42 enodes) 75.348 * * [simplify]: Extracting #0: cost 1 inf + 0 75.348 * * [simplify]: Extracting #1: cost 8 inf + 0 75.348 * * [simplify]: Extracting #2: cost 12 inf + 82 75.348 * * [simplify]: Extracting #3: cost 13 inf + 405 75.348 * * [simplify]: Extracting #4: cost 12 inf + 407 75.348 * * [simplify]: Extracting #5: cost 5 inf + 1383 75.349 * * [simplify]: Extracting #6: cost 0 inf + 2195 75.350 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 75.350 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.350 * * * * [progress]: [ 108 / 226 ] simplifiying candidate # 75.350 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 75.350 * * [simplify]: iters left: 6 (9 enodes) 75.356 * * [simplify]: iters left: 5 (33 enodes) 75.367 * * [simplify]: iters left: 4 (43 enodes) 75.381 * * [simplify]: iters left: 3 (45 enodes) 75.395 * * [simplify]: Extracting #0: cost 1 inf + 0 75.395 * * [simplify]: Extracting #1: cost 8 inf + 0 75.396 * * [simplify]: Extracting #2: cost 16 inf + 0 75.396 * * [simplify]: Extracting #3: cost 16 inf + 284 75.396 * * [simplify]: Extracting #4: cost 11 inf + 610 75.396 * * [simplify]: Extracting #5: cost 8 inf + 815 75.397 * * [simplify]: Extracting #6: cost 0 inf + 2517 75.400 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 75.400 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.400 * * * * [progress]: [ 109 / 226 ] simplifiying candidate # 75.401 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 75.401 * * [simplify]: iters left: 6 (8 enodes) 75.406 * * [simplify]: iters left: 5 (30 enodes) 75.416 * * [simplify]: iters left: 4 (35 enodes) 75.426 * * [simplify]: Extracting #0: cost 1 inf + 0 75.427 * * [simplify]: Extracting #1: cost 6 inf + 0 75.427 * * [simplify]: Extracting #2: cost 8 inf + 42 75.427 * * [simplify]: Extracting #3: cost 11 inf + 83 75.427 * * [simplify]: Extracting #4: cost 10 inf + 85 75.427 * * [simplify]: Extracting #5: cost 4 inf + 658 75.428 * * [simplify]: Extracting #6: cost 0 inf + 1227 75.428 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 75.428 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.429 * * * * [progress]: [ 110 / 226 ] simplifiying candidate # 75.429 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 75.429 * * [simplify]: iters left: 6 (8 enodes) 75.434 * * [simplify]: iters left: 5 (30 enodes) 75.445 * * [simplify]: iters left: 4 (40 enodes) 75.453 * * [simplify]: iters left: 3 (42 enodes) 75.459 * * [simplify]: Extracting #0: cost 1 inf + 0 75.459 * * [simplify]: Extracting #1: cost 8 inf + 0 75.459 * * [simplify]: Extracting #2: cost 12 inf + 42 75.460 * * [simplify]: Extracting #3: cost 13 inf + 245 75.460 * * [simplify]: Extracting #4: cost 12 inf + 247 75.460 * * [simplify]: Extracting #5: cost 5 inf + 1143 75.460 * * [simplify]: Extracting #6: cost 0 inf + 1875 75.460 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 75.460 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.461 * * * * [progress]: [ 111 / 226 ] simplifiying candidate # 75.461 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 75.461 * * [simplify]: iters left: 6 (8 enodes) 75.463 * * [simplify]: iters left: 5 (30 enodes) 75.469 * * [simplify]: iters left: 4 (40 enodes) 75.476 * * [simplify]: iters left: 3 (42 enodes) 75.483 * * [simplify]: Extracting #0: cost 1 inf + 0 75.483 * * [simplify]: Extracting #1: cost 8 inf + 0 75.483 * * [simplify]: Extracting #2: cost 11 inf + 203 75.484 * * [simplify]: Extracting #3: cost 13 inf + 405 75.484 * * [simplify]: Extracting #4: cost 12 inf + 407 75.484 * * [simplify]: Extracting #5: cost 3 inf + 1789 75.485 * * [simplify]: Extracting #6: cost 0 inf + 2195 75.485 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 75.485 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.486 * * * * [progress]: [ 112 / 226 ] simplifiying candidate # 75.486 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 75.486 * * [simplify]: iters left: 6 (8 enodes) 75.491 * * [simplify]: iters left: 5 (30 enodes) 75.502 * * [simplify]: iters left: 4 (40 enodes) 75.514 * * [simplify]: iters left: 3 (42 enodes) 75.526 * * [simplify]: Extracting #0: cost 1 inf + 0 75.526 * * [simplify]: Extracting #1: cost 8 inf + 0 75.526 * * [simplify]: Extracting #2: cost 11 inf + 123 75.526 * * [simplify]: Extracting #3: cost 13 inf + 245 75.526 * * [simplify]: Extracting #4: cost 12 inf + 247 75.526 * * [simplify]: Extracting #5: cost 3 inf + 1509 75.527 * * [simplify]: Extracting #6: cost 0 inf + 1875 75.528 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 75.528 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.528 * * * * [progress]: [ 113 / 226 ] simplifiying candidate # 75.528 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 75.528 * * [simplify]: iters left: 6 (7 enodes) 75.534 * * [simplify]: iters left: 5 (28 enodes) 75.543 * * [simplify]: iters left: 4 (35 enodes) 75.554 * * [simplify]: Extracting #0: cost 1 inf + 0 75.554 * * [simplify]: Extracting #1: cost 6 inf + 0 75.554 * * [simplify]: Extracting #2: cost 7 inf + 2 75.554 * * [simplify]: Extracting #3: cost 11 inf + 2 75.554 * * [simplify]: Extracting #4: cost 9 inf + 45 75.554 * * [simplify]: Extracting #5: cost 4 inf + 455 75.554 * * [simplify]: Extracting #6: cost 0 inf + 1066 75.555 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 75.555 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.555 * * * * [progress]: [ 114 / 226 ] simplifiying candidate # 75.555 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 75.556 * * [simplify]: iters left: 6 (8 enodes) 75.560 * * [simplify]: iters left: 5 (30 enodes) 75.570 * * [simplify]: iters left: 4 (37 enodes) 75.581 * * [simplify]: Extracting #0: cost 1 inf + 0 75.581 * * [simplify]: Extracting #1: cost 6 inf + 0 75.581 * * [simplify]: Extracting #2: cost 12 inf + 0 75.581 * * [simplify]: Extracting #3: cost 11 inf + 405 75.581 * * [simplify]: Extracting #4: cost 10 inf + 407 75.582 * * [simplify]: Extracting #5: cost 4 inf + 1100 75.582 * * [simplify]: Extracting #6: cost 0 inf + 1629 75.583 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 75.583 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.583 * * * * [progress]: [ 115 / 226 ] simplifiying candidate # 75.583 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 75.583 * * [simplify]: iters left: 6 (9 enodes) 75.588 * * [simplify]: iters left: 5 (33 enodes) 75.599 * * [simplify]: iters left: 4 (43 enodes) 75.612 * * [simplify]: iters left: 3 (45 enodes) 75.625 * * [simplify]: Extracting #0: cost 1 inf + 0 75.625 * * [simplify]: Extracting #1: cost 8 inf + 0 75.625 * * [simplify]: Extracting #2: cost 16 inf + 0 75.625 * * [simplify]: Extracting #3: cost 16 inf + 284 75.626 * * [simplify]: Extracting #4: cost 11 inf + 610 75.626 * * [simplify]: Extracting #5: cost 8 inf + 775 75.626 * * [simplify]: Extracting #6: cost 0 inf + 2197 75.627 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 75.627 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.627 * * * * [progress]: [ 116 / 226 ] simplifiying candidate # 75.628 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 75.628 * * [simplify]: iters left: 6 (8 enodes) 75.632 * * [simplify]: iters left: 5 (30 enodes) 75.643 * * [simplify]: iters left: 4 (40 enodes) 75.654 * * [simplify]: iters left: 3 (42 enodes) 75.667 * * [simplify]: Extracting #0: cost 1 inf + 0 75.667 * * [simplify]: Extracting #1: cost 8 inf + 0 75.667 * * [simplify]: Extracting #2: cost 12 inf + 82 75.667 * * [simplify]: Extracting #3: cost 13 inf + 405 75.668 * * [simplify]: Extracting #4: cost 12 inf + 407 75.668 * * [simplify]: Extracting #5: cost 5 inf + 1223 75.668 * * [simplify]: Extracting #6: cost 0 inf + 1875 75.669 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 75.669 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.669 * * * * [progress]: [ 117 / 226 ] simplifiying candidate # 75.670 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 75.670 * * [simplify]: iters left: 6 (9 enodes) 75.676 * * [simplify]: iters left: 5 (33 enodes) 75.682 * * [simplify]: iters left: 4 (43 enodes) 75.691 * * [simplify]: iters left: 3 (45 enodes) 75.698 * * [simplify]: Extracting #0: cost 1 inf + 0 75.698 * * [simplify]: Extracting #1: cost 8 inf + 0 75.698 * * [simplify]: Extracting #2: cost 16 inf + 0 75.698 * * [simplify]: Extracting #3: cost 16 inf + 284 75.698 * * [simplify]: Extracting #4: cost 11 inf + 610 75.698 * * [simplify]: Extracting #5: cost 8 inf + 775 75.699 * * [simplify]: Extracting #6: cost 0 inf + 2197 75.699 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 75.699 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.699 * * * * [progress]: [ 118 / 226 ] simplifiying candidate # 75.699 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 75.699 * * [simplify]: iters left: 6 (8 enodes) 75.702 * * [simplify]: iters left: 5 (30 enodes) 75.709 * * [simplify]: iters left: 4 (35 enodes) 75.721 * * [simplify]: Extracting #0: cost 1 inf + 0 75.721 * * [simplify]: Extracting #1: cost 6 inf + 0 75.721 * * [simplify]: Extracting #2: cost 8 inf + 42 75.721 * * [simplify]: Extracting #3: cost 11 inf + 83 75.721 * * [simplify]: Extracting #4: cost 10 inf + 85 75.721 * * [simplify]: Extracting #5: cost 4 inf + 538 75.722 * * [simplify]: Extracting #6: cost 0 inf + 987 75.722 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 75.722 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.722 * * * * [progress]: [ 119 / 226 ] simplifiying candidate # 75.723 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 75.723 * * [simplify]: iters left: 6 (8 enodes) 75.728 * * [simplify]: iters left: 5 (30 enodes) 75.737 * * [simplify]: iters left: 4 (40 enodes) 75.744 * * [simplify]: iters left: 3 (42 enodes) 75.750 * * [simplify]: Extracting #0: cost 1 inf + 0 75.750 * * [simplify]: Extracting #1: cost 8 inf + 0 75.750 * * [simplify]: Extracting #2: cost 12 inf + 42 75.750 * * [simplify]: Extracting #3: cost 13 inf + 245 75.750 * * [simplify]: Extracting #4: cost 12 inf + 247 75.750 * * [simplify]: Extracting #5: cost 5 inf + 983 75.751 * * [simplify]: Extracting #6: cost 0 inf + 1555 75.751 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 75.751 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.751 * * * * [progress]: [ 120 / 226 ] simplifiying candidate # 75.751 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 75.751 * * [simplify]: iters left: 6 (8 enodes) 75.754 * * [simplify]: iters left: 5 (30 enodes) 75.759 * * [simplify]: iters left: 4 (40 enodes) 75.765 * * [simplify]: iters left: 3 (42 enodes) 75.777 * * [simplify]: Extracting #0: cost 1 inf + 0 75.777 * * [simplify]: Extracting #1: cost 8 inf + 0 75.777 * * [simplify]: Extracting #2: cost 11 inf + 203 75.777 * * [simplify]: Extracting #3: cost 13 inf + 405 75.778 * * [simplify]: Extracting #4: cost 12 inf + 407 75.778 * * [simplify]: Extracting #5: cost 3 inf + 1549 75.779 * * [simplify]: Extracting #6: cost 0 inf + 1875 75.779 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 75.779 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.779 * * * * [progress]: [ 121 / 226 ] simplifiying candidate # 75.780 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 75.780 * * [simplify]: iters left: 6 (8 enodes) 75.785 * * [simplify]: iters left: 5 (30 enodes) 75.794 * * [simplify]: iters left: 4 (40 enodes) 75.809 * * [simplify]: iters left: 3 (42 enodes) 75.822 * * [simplify]: Extracting #0: cost 1 inf + 0 75.822 * * [simplify]: Extracting #1: cost 8 inf + 0 75.822 * * [simplify]: Extracting #2: cost 11 inf + 123 75.822 * * [simplify]: Extracting #3: cost 13 inf + 245 75.822 * * [simplify]: Extracting #4: cost 12 inf + 247 75.823 * * [simplify]: Extracting #5: cost 3 inf + 1269 75.823 * * [simplify]: Extracting #6: cost 0 inf + 1555 75.824 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 75.824 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.824 * * * * [progress]: [ 122 / 226 ] simplifiying candidate # 75.824 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 75.824 * * [simplify]: iters left: 6 (7 enodes) 75.829 * * [simplify]: iters left: 5 (28 enodes) 75.838 * * [simplify]: iters left: 4 (35 enodes) 75.849 * * [simplify]: Extracting #0: cost 1 inf + 0 75.849 * * [simplify]: Extracting #1: cost 6 inf + 0 75.849 * * [simplify]: Extracting #2: cost 7 inf + 2 75.849 * * [simplify]: Extracting #3: cost 11 inf + 2 75.849 * * [simplify]: Extracting #4: cost 9 inf + 45 75.849 * * [simplify]: Extracting #5: cost 4 inf + 375 75.850 * * [simplify]: Extracting #6: cost 0 inf + 826 75.850 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 75.850 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.850 * * * * [progress]: [ 123 / 226 ] simplifiying candidate # 75.851 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 75.851 * * [simplify]: iters left: 6 (7 enodes) 75.855 * * [simplify]: iters left: 5 (30 enodes) 75.866 * * [simplify]: iters left: 4 (49 enodes) 75.879 * * [simplify]: iters left: 3 (59 enodes) 75.888 * * [simplify]: iters left: 2 (64 enodes) 75.897 * * [simplify]: Extracting #0: cost 1 inf + 0 75.897 * * [simplify]: Extracting #1: cost 9 inf + 0 75.898 * * [simplify]: Extracting #2: cost 23 inf + 0 75.898 * * [simplify]: Extracting #3: cost 24 inf + 3 75.898 * * [simplify]: Extracting #4: cost 15 inf + 980 75.899 * * [simplify]: Extracting #5: cost 1 inf + 3007 75.900 * * [simplify]: Extracting #6: cost 0 inf + 3169 75.901 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 75.901 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.901 * * * * [progress]: [ 124 / 226 ] simplifiying candidate # 75.901 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 75.902 * * [simplify]: iters left: 6 (8 enodes) 75.906 * * [simplify]: iters left: 5 (33 enodes) 75.911 * * [simplify]: iters left: 4 (55 enodes) 75.920 * * [simplify]: iters left: 3 (72 enodes) 75.937 * * [simplify]: iters left: 2 (84 enodes) 75.960 * * [simplify]: iters left: 1 (88 enodes) 75.983 * * [simplify]: Extracting #0: cost 1 inf + 0 75.983 * * [simplify]: Extracting #1: cost 11 inf + 0 75.984 * * [simplify]: Extracting #2: cost 30 inf + 0 75.984 * * [simplify]: Extracting #3: cost 33 inf + 84 75.984 * * [simplify]: Extracting #4: cost 12 inf + 2402 75.986 * * [simplify]: Extracting #5: cost 0 inf + 4469 75.987 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 75.988 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 75.988 * * * * [progress]: [ 125 / 226 ] simplifiying candidate # 75.988 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 75.989 * * [simplify]: iters left: 6 (7 enodes) 75.993 * * [simplify]: iters left: 5 (30 enodes) 76.004 * * [simplify]: iters left: 4 (52 enodes) 76.020 * * [simplify]: iters left: 3 (70 enodes) 76.039 * * [simplify]: iters left: 2 (81 enodes) 76.062 * * [simplify]: iters left: 1 (84 enodes) 76.081 * * [simplify]: Extracting #0: cost 1 inf + 0 76.081 * * [simplify]: Extracting #1: cost 11 inf + 0 76.081 * * [simplify]: Extracting #2: cost 25 inf + 203 76.081 * * [simplify]: Extracting #3: cost 25 inf + 530 76.082 * * [simplify]: Extracting #4: cost 4 inf + 2936 76.082 * * [simplify]: Extracting #5: cost 0 inf + 3504 76.083 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 76.083 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.083 * * * * [progress]: [ 126 / 226 ] simplifiying candidate # 76.083 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 76.083 * * [simplify]: iters left: 6 (8 enodes) 76.086 * * [simplify]: iters left: 5 (33 enodes) 76.093 * * [simplify]: iters left: 4 (55 enodes) 76.104 * * [simplify]: iters left: 3 (72 enodes) 76.125 * * [simplify]: iters left: 2 (84 enodes) 76.148 * * [simplify]: iters left: 1 (88 enodes) 76.171 * * [simplify]: Extracting #0: cost 1 inf + 0 76.171 * * [simplify]: Extracting #1: cost 11 inf + 0 76.172 * * [simplify]: Extracting #2: cost 30 inf + 0 76.172 * * [simplify]: Extracting #3: cost 33 inf + 44 76.172 * * [simplify]: Extracting #4: cost 12 inf + 2362 76.174 * * [simplify]: Extracting #5: cost 0 inf + 4469 76.175 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 76.175 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.175 * * * * [progress]: [ 127 / 226 ] simplifiying candidate # 76.176 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 76.176 * * [simplify]: iters left: 6 (7 enodes) 76.180 * * [simplify]: iters left: 5 (30 enodes) 76.191 * * [simplify]: iters left: 4 (48 enodes) 76.206 * * [simplify]: iters left: 3 (56 enodes) 76.223 * * [simplify]: Extracting #0: cost 1 inf + 0 76.223 * * [simplify]: Extracting #1: cost 8 inf + 0 76.223 * * [simplify]: Extracting #2: cost 15 inf + 43 76.223 * * [simplify]: Extracting #3: cost 16 inf + 86 76.223 * * [simplify]: Extracting #4: cost 5 inf + 911 76.223 * * [simplify]: Extracting #5: cost 1 inf + 1198 76.224 * * [simplify]: Extracting #6: cost 0 inf + 1320 76.224 * [simplify]: Simplified to (/ (- 1 k) 2) 76.224 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.224 * * * * [progress]: [ 128 / 226 ] simplifiying candidate # 76.224 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 76.224 * * [simplify]: iters left: 6 (7 enodes) 76.227 * * [simplify]: iters left: 5 (30 enodes) 76.233 * * [simplify]: iters left: 4 (52 enodes) 76.242 * * [simplify]: iters left: 3 (70 enodes) 76.257 * * [simplify]: iters left: 2 (81 enodes) 76.279 * * [simplify]: iters left: 1 (84 enodes) 76.293 * * [simplify]: Extracting #0: cost 1 inf + 0 76.293 * * [simplify]: Extracting #1: cost 11 inf + 0 76.293 * * [simplify]: Extracting #2: cost 25 inf + 123 76.294 * * [simplify]: Extracting #3: cost 25 inf + 330 76.294 * * [simplify]: Extracting #4: cost 4 inf + 2256 76.295 * * [simplify]: Extracting #5: cost 0 inf + 2704 76.295 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 76.295 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.295 * * * * [progress]: [ 129 / 226 ] simplifiying candidate # 76.295 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 76.296 * * [simplify]: iters left: 6 (7 enodes) 76.298 * * [simplify]: iters left: 5 (31 enodes) 76.304 * * [simplify]: iters left: 4 (51 enodes) 76.313 * * [simplify]: iters left: 3 (64 enodes) 76.325 * * [simplify]: iters left: 2 (77 enodes) 76.347 * * [simplify]: iters left: 1 (84 enodes) 76.361 * * [simplify]: Extracting #0: cost 1 inf + 0 76.361 * * [simplify]: Extracting #1: cost 11 inf + 0 76.361 * * [simplify]: Extracting #2: cost 26 inf + 82 76.362 * * [simplify]: Extracting #3: cost 24 inf + 692 76.362 * * [simplify]: Extracting #4: cost 3 inf + 3057 76.363 * * [simplify]: Extracting #5: cost 0 inf + 3504 76.363 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 76.363 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.363 * * * * [progress]: [ 130 / 226 ] simplifiying candidate # 76.364 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 76.364 * * [simplify]: iters left: 6 (7 enodes) 76.367 * * [simplify]: iters left: 5 (31 enodes) 76.372 * * [simplify]: iters left: 4 (51 enodes) 76.382 * * [simplify]: iters left: 3 (64 enodes) 76.399 * * [simplify]: iters left: 2 (77 enodes) 76.421 * * [simplify]: iters left: 1 (84 enodes) 76.445 * * [simplify]: Extracting #0: cost 1 inf + 0 76.445 * * [simplify]: Extracting #1: cost 11 inf + 0 76.445 * * [simplify]: Extracting #2: cost 26 inf + 42 76.445 * * [simplify]: Extracting #3: cost 24 inf + 452 76.446 * * [simplify]: Extracting #4: cost 3 inf + 2337 76.447 * * [simplify]: Extracting #5: cost 0 inf + 2704 76.449 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 76.449 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.449 * * * * [progress]: [ 131 / 226 ] simplifiying candidate # 76.449 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 76.449 * * [simplify]: iters left: 6 (6 enodes) 76.454 * * [simplify]: iters left: 5 (29 enodes) 76.463 * * [simplify]: iters left: 4 (44 enodes) 76.470 * * [simplify]: iters left: 3 (50 enodes) 76.478 * * [simplify]: iters left: 2 (57 enodes) 76.487 * * [simplify]: Extracting #0: cost 1 inf + 0 76.487 * * [simplify]: Extracting #1: cost 9 inf + 0 76.487 * * [simplify]: Extracting #2: cost 15 inf + 3 76.487 * * [simplify]: Extracting #3: cost 11 inf + 131 76.487 * * [simplify]: Extracting #4: cost 2 inf + 711 76.487 * * [simplify]: Extracting #5: cost 0 inf + 836 76.488 * [simplify]: Simplified to (- 1/4 (/ k 4)) 76.488 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.488 * * * * [progress]: [ 132 / 226 ] simplifiying candidate # 76.488 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 76.488 * * [simplify]: iters left: 6 (9 enodes) 76.493 * * [simplify]: iters left: 5 (36 enodes) 76.505 * * [simplify]: iters left: 4 (58 enodes) 76.514 * * [simplify]: iters left: 3 (71 enodes) 76.524 * * [simplify]: iters left: 2 (79 enodes) 76.535 * * [simplify]: iters left: 1 (80 enodes) 76.551 * * [simplify]: Extracting #0: cost 1 inf + 0 76.551 * * [simplify]: Extracting #1: cost 9 inf + 0 76.551 * * [simplify]: Extracting #2: cost 24 inf + 0 76.551 * * [simplify]: Extracting #3: cost 29 inf + 2 76.552 * * [simplify]: Extracting #4: cost 10 inf + 2233 76.553 * * [simplify]: Extracting #5: cost 1 inf + 4013 76.555 * * [simplify]: Extracting #6: cost 0 inf + 4135 76.556 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 76.556 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.557 * * * * [progress]: [ 133 / 226 ] simplifiying candidate # 76.557 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 76.557 * * [simplify]: iters left: 6 (10 enodes) 76.563 * * [simplify]: iters left: 5 (39 enodes) 76.577 * * [simplify]: iters left: 4 (64 enodes) 76.596 * * [simplify]: iters left: 3 (86 enodes) 76.620 * * [simplify]: iters left: 2 (99 enodes) 76.645 * * [simplify]: iters left: 1 (104 enodes) 76.671 * * [simplify]: Extracting #0: cost 1 inf + 0 76.672 * * [simplify]: Extracting #1: cost 11 inf + 0 76.672 * * [simplify]: Extracting #2: cost 31 inf + 0 76.672 * * [simplify]: Extracting #3: cost 39 inf + 2 76.672 * * [simplify]: Extracting #4: cost 22 inf + 1871 76.674 * * [simplify]: Extracting #5: cost 4 inf + 4865 76.676 * * [simplify]: Extracting #6: cost 0 inf + 5675 76.678 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 76.678 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.678 * * * * [progress]: [ 134 / 226 ] simplifiying candidate # 76.679 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 76.679 * * [simplify]: iters left: 6 (9 enodes) 76.683 * * [simplify]: iters left: 5 (36 enodes) 76.691 * * [simplify]: iters left: 4 (61 enodes) 76.702 * * [simplify]: iters left: 3 (84 enodes) 76.714 * * [simplify]: iters left: 2 (96 enodes) 76.737 * * [simplify]: iters left: 1 (100 enodes) 76.761 * * [simplify]: Extracting #0: cost 1 inf + 0 76.761 * * [simplify]: Extracting #1: cost 11 inf + 0 76.761 * * [simplify]: Extracting #2: cost 27 inf + 82 76.761 * * [simplify]: Extracting #3: cost 29 inf + 651 76.762 * * [simplify]: Extracting #4: cost 12 inf + 2763 76.764 * * [simplify]: Extracting #5: cost 1 inf + 4587 76.765 * * [simplify]: Extracting #6: cost 0 inf + 4710 76.767 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 76.767 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.767 * * * * [progress]: [ 135 / 226 ] simplifiying candidate # 76.767 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 76.768 * * [simplify]: iters left: 6 (10 enodes) 76.774 * * [simplify]: iters left: 5 (39 enodes) 76.786 * * [simplify]: iters left: 4 (64 enodes) 76.797 * * [simplify]: iters left: 3 (86 enodes) 76.812 * * [simplify]: iters left: 2 (99 enodes) 76.833 * * [simplify]: iters left: 1 (104 enodes) 76.858 * * [simplify]: Extracting #0: cost 1 inf + 0 76.858 * * [simplify]: Extracting #1: cost 11 inf + 0 76.858 * * [simplify]: Extracting #2: cost 31 inf + 0 76.858 * * [simplify]: Extracting #3: cost 39 inf + 2 76.859 * * [simplify]: Extracting #4: cost 22 inf + 1831 76.859 * * [simplify]: Extracting #5: cost 4 inf + 4785 76.860 * * [simplify]: Extracting #6: cost 0 inf + 5595 76.862 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 76.862 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.862 * * * * [progress]: [ 136 / 226 ] simplifiying candidate # 76.862 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 76.862 * * [simplify]: iters left: 6 (9 enodes) 76.865 * * [simplify]: iters left: 5 (36 enodes) 76.872 * * [simplify]: iters left: 4 (57 enodes) 76.886 * * [simplify]: iters left: 3 (73 enodes) 76.905 * * [simplify]: iters left: 2 (80 enodes) 76.917 * * [simplify]: iters left: 1 (81 enodes) 76.930 * * [simplify]: Extracting #0: cost 1 inf + 0 76.930 * * [simplify]: Extracting #1: cost 9 inf + 0 76.930 * * [simplify]: Extracting #2: cost 18 inf + 43 76.930 * * [simplify]: Extracting #3: cost 23 inf + 85 76.930 * * [simplify]: Extracting #4: cost 9 inf + 1271 76.931 * * [simplify]: Extracting #5: cost 0 inf + 2370 76.931 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 76.931 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 76.931 * * * * [progress]: [ 137 / 226 ] simplifiying candidate # 76.932 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 76.932 * * [simplify]: iters left: 6 (9 enodes) 76.937 * * [simplify]: iters left: 5 (36 enodes) 76.949 * * [simplify]: iters left: 4 (61 enodes) 76.968 * * [simplify]: iters left: 3 (84 enodes) 76.991 * * [simplify]: iters left: 2 (96 enodes) 77.008 * * [simplify]: iters left: 1 (100 enodes) 77.020 * * [simplify]: Extracting #0: cost 1 inf + 0 77.020 * * [simplify]: Extracting #1: cost 11 inf + 0 77.021 * * [simplify]: Extracting #2: cost 27 inf + 42 77.021 * * [simplify]: Extracting #3: cost 29 inf + 411 77.021 * * [simplify]: Extracting #4: cost 12 inf + 2163 77.022 * * [simplify]: Extracting #5: cost 1 inf + 3707 77.023 * * [simplify]: Extracting #6: cost 0 inf + 3830 77.023 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 77.023 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.024 * * * * [progress]: [ 138 / 226 ] simplifiying candidate # 77.024 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 77.024 * * [simplify]: iters left: 6 (9 enodes) 77.027 * * [simplify]: iters left: 5 (36 enodes) 77.038 * * [simplify]: iters left: 4 (62 enodes) 77.052 * * [simplify]: iters left: 3 (78 enodes) 77.063 * * [simplify]: iters left: 2 (90 enodes) 77.077 * * [simplify]: iters left: 1 (94 enodes) 77.099 * * [simplify]: Extracting #0: cost 1 inf + 0 77.099 * * [simplify]: Extracting #1: cost 11 inf + 0 77.100 * * [simplify]: Extracting #2: cost 27 inf + 1 77.100 * * [simplify]: Extracting #3: cost 29 inf + 409 77.100 * * [simplify]: Extracting #4: cost 12 inf + 2359 77.102 * * [simplify]: Extracting #5: cost 2 inf + 4022 77.103 * * [simplify]: Extracting #6: cost 0 inf + 4466 77.104 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 77.104 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.105 * * * * [progress]: [ 139 / 226 ] simplifiying candidate # 77.105 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 77.105 * * [simplify]: iters left: 6 (9 enodes) 77.110 * * [simplify]: iters left: 5 (36 enodes) 77.123 * * [simplify]: iters left: 4 (62 enodes) 77.139 * * [simplify]: iters left: 3 (78 enodes) 77.159 * * [simplify]: iters left: 2 (90 enodes) 77.185 * * [simplify]: iters left: 1 (94 enodes) 77.208 * * [simplify]: Extracting #0: cost 1 inf + 0 77.208 * * [simplify]: Extracting #1: cost 11 inf + 0 77.208 * * [simplify]: Extracting #2: cost 27 inf + 1 77.208 * * [simplify]: Extracting #3: cost 29 inf + 249 77.209 * * [simplify]: Extracting #4: cost 12 inf + 1879 77.210 * * [simplify]: Extracting #5: cost 2 inf + 3302 77.212 * * [simplify]: Extracting #6: cost 0 inf + 3666 77.213 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 77.213 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.214 * * * * [progress]: [ 140 / 226 ] simplifiying candidate # 77.214 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 77.214 * * [simplify]: iters left: 6 (8 enodes) 77.220 * * [simplify]: iters left: 5 (34 enodes) 77.234 * * [simplify]: iters left: 4 (58 enodes) 77.249 * * [simplify]: iters left: 3 (65 enodes) 77.265 * * [simplify]: Extracting #0: cost 1 inf + 0 77.265 * * [simplify]: Extracting #1: cost 8 inf + 0 77.265 * * [simplify]: Extracting #2: cost 14 inf + 3 77.265 * * [simplify]: Extracting #3: cost 17 inf + 5 77.265 * * [simplify]: Extracting #4: cost 12 inf + 292 77.266 * * [simplify]: Extracting #5: cost 1 inf + 1355 77.267 * * [simplify]: Extracting #6: cost 0 inf + 1478 77.267 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 77.267 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.268 * * * * [progress]: [ 141 / 226 ] simplifiying candidate # 77.268 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 77.268 * * [simplify]: iters left: 6 (8 enodes) 77.273 * * [simplify]: iters left: 5 (33 enodes) 77.285 * * [simplify]: iters left: 4 (52 enodes) 77.301 * * [simplify]: iters left: 3 (62 enodes) 77.319 * * [simplify]: iters left: 2 (67 enodes) 77.341 * * [simplify]: Extracting #0: cost 1 inf + 0 77.341 * * [simplify]: Extracting #1: cost 9 inf + 0 77.341 * * [simplify]: Extracting #2: cost 23 inf + 0 77.342 * * [simplify]: Extracting #3: cost 24 inf + 285 77.342 * * [simplify]: Extracting #4: cost 18 inf + 975 77.343 * * [simplify]: Extracting #5: cost 7 inf + 2516 77.344 * * [simplify]: Extracting #6: cost 0 inf + 3891 77.345 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 77.345 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.345 * * * * [progress]: [ 142 / 226 ] simplifiying candidate # 77.346 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 77.346 * * [simplify]: iters left: 6 (9 enodes) 77.351 * * [simplify]: iters left: 5 (36 enodes) 77.364 * * [simplify]: iters left: 4 (58 enodes) 77.382 * * [simplify]: iters left: 3 (75 enodes) 77.393 * * [simplify]: iters left: 2 (87 enodes) 77.405 * * [simplify]: iters left: 1 (91 enodes) 77.422 * * [simplify]: Extracting #0: cost 1 inf + 0 77.422 * * [simplify]: Extracting #1: cost 11 inf + 0 77.422 * * [simplify]: Extracting #2: cost 30 inf + 0 77.422 * * [simplify]: Extracting #3: cost 36 inf + 83 77.422 * * [simplify]: Extracting #4: cost 30 inf + 451 77.423 * * [simplify]: Extracting #5: cost 10 inf + 3649 77.425 * * [simplify]: Extracting #6: cost 0 inf + 5431 77.427 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 77.427 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.427 * * * * [progress]: [ 143 / 226 ] simplifiying candidate # 77.428 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 77.428 * * [simplify]: iters left: 6 (8 enodes) 77.433 * * [simplify]: iters left: 5 (33 enodes) 77.444 * * [simplify]: iters left: 4 (55 enodes) 77.455 * * [simplify]: iters left: 3 (73 enodes) 77.466 * * [simplify]: iters left: 2 (84 enodes) 77.483 * * [simplify]: iters left: 1 (87 enodes) 77.505 * * [simplify]: Extracting #0: cost 1 inf + 0 77.505 * * [simplify]: Extracting #1: cost 11 inf + 0 77.505 * * [simplify]: Extracting #2: cost 25 inf + 203 77.505 * * [simplify]: Extracting #3: cost 29 inf + 407 77.506 * * [simplify]: Extracting #4: cost 24 inf + 896 77.506 * * [simplify]: Extracting #5: cost 9 inf + 2805 77.508 * * [simplify]: Extracting #6: cost 0 inf + 4466 77.509 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 77.509 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.509 * * * * [progress]: [ 144 / 226 ] simplifiying candidate # 77.510 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 77.510 * * [simplify]: iters left: 6 (9 enodes) 77.515 * * [simplify]: iters left: 5 (36 enodes) 77.527 * * [simplify]: iters left: 4 (58 enodes) 77.545 * * [simplify]: iters left: 3 (75 enodes) 77.567 * * [simplify]: iters left: 2 (87 enodes) 77.594 * * [simplify]: iters left: 1 (91 enodes) 77.607 * * [simplify]: Extracting #0: cost 1 inf + 0 77.607 * * [simplify]: Extracting #1: cost 11 inf + 0 77.607 * * [simplify]: Extracting #2: cost 30 inf + 0 77.608 * * [simplify]: Extracting #3: cost 36 inf + 43 77.608 * * [simplify]: Extracting #4: cost 30 inf + 451 77.608 * * [simplify]: Extracting #5: cost 10 inf + 3769 77.609 * * [simplify]: Extracting #6: cost 0 inf + 5431 77.610 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 77.610 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.610 * * * * [progress]: [ 145 / 226 ] simplifiying candidate # 77.610 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 77.611 * * [simplify]: iters left: 6 (8 enodes) 77.613 * * [simplify]: iters left: 5 (33 enodes) 77.619 * * [simplify]: iters left: 4 (51 enodes) 77.629 * * [simplify]: iters left: 3 (59 enodes) 77.645 * * [simplify]: Extracting #0: cost 1 inf + 0 77.645 * * [simplify]: Extracting #1: cost 8 inf + 0 77.645 * * [simplify]: Extracting #2: cost 15 inf + 43 77.645 * * [simplify]: Extracting #3: cost 19 inf + 85 77.645 * * [simplify]: Extracting #4: cost 16 inf + 250 77.645 * * [simplify]: Extracting #5: cost 5 inf + 1311 77.646 * * [simplify]: Extracting #6: cost 0 inf + 1962 77.647 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 77.647 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.647 * * * * [progress]: [ 146 / 226 ] simplifiying candidate # 77.647 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 77.648 * * [simplify]: iters left: 6 (8 enodes) 77.652 * * [simplify]: iters left: 5 (33 enodes) 77.660 * * [simplify]: iters left: 4 (55 enodes) 77.669 * * [simplify]: iters left: 3 (73 enodes) 77.680 * * [simplify]: iters left: 2 (84 enodes) 77.693 * * [simplify]: iters left: 1 (87 enodes) 77.711 * * [simplify]: Extracting #0: cost 1 inf + 0 77.711 * * [simplify]: Extracting #1: cost 11 inf + 0 77.711 * * [simplify]: Extracting #2: cost 25 inf + 123 77.711 * * [simplify]: Extracting #3: cost 29 inf + 247 77.711 * * [simplify]: Extracting #4: cost 24 inf + 576 77.712 * * [simplify]: Extracting #5: cost 9 inf + 2245 77.713 * * [simplify]: Extracting #6: cost 0 inf + 3666 77.713 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 77.713 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.714 * * * * [progress]: [ 147 / 226 ] simplifiying candidate # 77.714 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 77.714 * * [simplify]: iters left: 6 (8 enodes) 77.717 * * [simplify]: iters left: 5 (34 enodes) 77.723 * * [simplify]: iters left: 4 (54 enodes) 77.731 * * [simplify]: iters left: 3 (67 enodes) 77.744 * * [simplify]: iters left: 2 (80 enodes) 77.766 * * [simplify]: iters left: 1 (87 enodes) 77.789 * * [simplify]: Extracting #0: cost 1 inf + 0 77.790 * * [simplify]: Extracting #1: cost 11 inf + 0 77.790 * * [simplify]: Extracting #2: cost 25 inf + 203 77.790 * * [simplify]: Extracting #3: cost 26 inf + 773 77.790 * * [simplify]: Extracting #4: cost 24 inf + 896 77.791 * * [simplify]: Extracting #5: cost 8 inf + 3127 77.792 * * [simplify]: Extracting #6: cost 0 inf + 4466 77.794 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 77.794 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.794 * * * * [progress]: [ 148 / 226 ] simplifiying candidate # 77.794 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 77.795 * * [simplify]: iters left: 6 (8 enodes) 77.800 * * [simplify]: iters left: 5 (34 enodes) 77.814 * * [simplify]: iters left: 4 (54 enodes) 77.830 * * [simplify]: iters left: 3 (67 enodes) 77.849 * * [simplify]: iters left: 2 (80 enodes) 77.870 * * [simplify]: iters left: 1 (87 enodes) 77.893 * * [simplify]: Extracting #0: cost 1 inf + 0 77.893 * * [simplify]: Extracting #1: cost 11 inf + 0 77.894 * * [simplify]: Extracting #2: cost 25 inf + 123 77.894 * * [simplify]: Extracting #3: cost 26 inf + 493 77.894 * * [simplify]: Extracting #4: cost 24 inf + 576 77.895 * * [simplify]: Extracting #5: cost 8 inf + 2527 77.896 * * [simplify]: Extracting #6: cost 0 inf + 3666 77.898 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 77.898 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.898 * * * * [progress]: [ 149 / 226 ] simplifiying candidate # 77.899 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 77.899 * * [simplify]: iters left: 6 (7 enodes) 77.904 * * [simplify]: iters left: 5 (32 enodes) 77.915 * * [simplify]: iters left: 4 (50 enodes) 77.930 * * [simplify]: iters left: 3 (54 enodes) 77.946 * * [simplify]: Extracting #0: cost 1 inf + 0 77.946 * * [simplify]: Extracting #1: cost 8 inf + 0 77.946 * * [simplify]: Extracting #2: cost 13 inf + 3 77.946 * * [simplify]: Extracting #3: cost 15 inf + 5 77.946 * * [simplify]: Extracting #4: cost 14 inf + 6 77.946 * * [simplify]: Extracting #5: cost 4 inf + 825 77.947 * * [simplify]: Extracting #6: cost 0 inf + 1234 77.947 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 77.947 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.948 * * * * [progress]: [ 150 / 226 ] simplifiying candidate # 77.948 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 77.948 * * [simplify]: iters left: 6 (7 enodes) 77.953 * * [simplify]: iters left: 5 (30 enodes) 77.966 * * [simplify]: iters left: 4 (49 enodes) 77.975 * * [simplify]: iters left: 3 (59 enodes) 77.984 * * [simplify]: iters left: 2 (64 enodes) 77.994 * * [simplify]: Extracting #0: cost 1 inf + 0 77.994 * * [simplify]: Extracting #1: cost 9 inf + 0 77.994 * * [simplify]: Extracting #2: cost 23 inf + 0 77.994 * * [simplify]: Extracting #3: cost 24 inf + 3 77.994 * * [simplify]: Extracting #4: cost 15 inf + 980 77.995 * * [simplify]: Extracting #5: cost 1 inf + 3007 77.995 * * [simplify]: Extracting #6: cost 0 inf + 3169 77.996 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 77.996 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 77.996 * * * * [progress]: [ 151 / 226 ] simplifiying candidate # 77.996 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 77.996 * * [simplify]: iters left: 6 (8 enodes) 78.001 * * [simplify]: iters left: 5 (33 enodes) 78.012 * * [simplify]: iters left: 4 (55 enodes) 78.022 * * [simplify]: iters left: 3 (72 enodes) 78.033 * * [simplify]: iters left: 2 (84 enodes) 78.046 * * [simplify]: iters left: 1 (88 enodes) 78.064 * * [simplify]: Extracting #0: cost 1 inf + 0 78.064 * * [simplify]: Extracting #1: cost 11 inf + 0 78.064 * * [simplify]: Extracting #2: cost 30 inf + 0 78.065 * * [simplify]: Extracting #3: cost 33 inf + 84 78.065 * * [simplify]: Extracting #4: cost 12 inf + 2402 78.066 * * [simplify]: Extracting #5: cost 0 inf + 4469 78.067 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 78.067 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.067 * * * * [progress]: [ 152 / 226 ] simplifiying candidate # 78.067 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 78.067 * * [simplify]: iters left: 6 (7 enodes) 78.070 * * [simplify]: iters left: 5 (30 enodes) 78.076 * * [simplify]: iters left: 4 (52 enodes) 78.085 * * [simplify]: iters left: 3 (70 enodes) 78.105 * * [simplify]: iters left: 2 (81 enodes) 78.118 * * [simplify]: iters left: 1 (84 enodes) 78.130 * * [simplify]: Extracting #0: cost 1 inf + 0 78.130 * * [simplify]: Extracting #1: cost 11 inf + 0 78.130 * * [simplify]: Extracting #2: cost 25 inf + 203 78.130 * * [simplify]: Extracting #3: cost 25 inf + 530 78.131 * * [simplify]: Extracting #4: cost 4 inf + 2936 78.132 * * [simplify]: Extracting #5: cost 0 inf + 3504 78.132 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 78.132 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.132 * * * * [progress]: [ 153 / 226 ] simplifiying candidate # 78.132 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 78.133 * * [simplify]: iters left: 6 (8 enodes) 78.136 * * [simplify]: iters left: 5 (33 enodes) 78.142 * * [simplify]: iters left: 4 (55 enodes) 78.152 * * [simplify]: iters left: 3 (72 enodes) 78.171 * * [simplify]: iters left: 2 (84 enodes) 78.193 * * [simplify]: iters left: 1 (88 enodes) 78.215 * * [simplify]: Extracting #0: cost 1 inf + 0 78.215 * * [simplify]: Extracting #1: cost 11 inf + 0 78.216 * * [simplify]: Extracting #2: cost 30 inf + 0 78.216 * * [simplify]: Extracting #3: cost 33 inf + 44 78.217 * * [simplify]: Extracting #4: cost 12 inf + 2362 78.218 * * [simplify]: Extracting #5: cost 0 inf + 4469 78.220 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 78.220 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.220 * * * * [progress]: [ 154 / 226 ] simplifiying candidate # 78.220 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 78.220 * * [simplify]: iters left: 6 (7 enodes) 78.226 * * [simplify]: iters left: 5 (30 enodes) 78.237 * * [simplify]: iters left: 4 (48 enodes) 78.252 * * [simplify]: iters left: 3 (56 enodes) 78.267 * * [simplify]: Extracting #0: cost 1 inf + 0 78.267 * * [simplify]: Extracting #1: cost 8 inf + 0 78.268 * * [simplify]: Extracting #2: cost 15 inf + 43 78.268 * * [simplify]: Extracting #3: cost 16 inf + 86 78.268 * * [simplify]: Extracting #4: cost 5 inf + 911 78.269 * * [simplify]: Extracting #5: cost 1 inf + 1198 78.269 * * [simplify]: Extracting #6: cost 0 inf + 1320 78.270 * [simplify]: Simplified to (/ (- 1 k) 2) 78.270 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.270 * * * * [progress]: [ 155 / 226 ] simplifiying candidate # 78.270 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 78.271 * * [simplify]: iters left: 6 (7 enodes) 78.275 * * [simplify]: iters left: 5 (30 enodes) 78.285 * * [simplify]: iters left: 4 (52 enodes) 78.302 * * [simplify]: iters left: 3 (70 enodes) 78.323 * * [simplify]: iters left: 2 (81 enodes) 78.334 * * [simplify]: iters left: 1 (84 enodes) 78.346 * * [simplify]: Extracting #0: cost 1 inf + 0 78.346 * * [simplify]: Extracting #1: cost 11 inf + 0 78.346 * * [simplify]: Extracting #2: cost 25 inf + 123 78.346 * * [simplify]: Extracting #3: cost 25 inf + 330 78.346 * * [simplify]: Extracting #4: cost 4 inf + 2256 78.347 * * [simplify]: Extracting #5: cost 0 inf + 2704 78.347 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 78.348 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.348 * * * * [progress]: [ 156 / 226 ] simplifiying candidate # 78.348 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 78.348 * * [simplify]: iters left: 6 (7 enodes) 78.351 * * [simplify]: iters left: 5 (31 enodes) 78.356 * * [simplify]: iters left: 4 (51 enodes) 78.372 * * [simplify]: iters left: 3 (64 enodes) 78.390 * * [simplify]: iters left: 2 (77 enodes) 78.412 * * [simplify]: iters left: 1 (84 enodes) 78.438 * * [simplify]: Extracting #0: cost 1 inf + 0 78.438 * * [simplify]: Extracting #1: cost 11 inf + 0 78.438 * * [simplify]: Extracting #2: cost 26 inf + 82 78.438 * * [simplify]: Extracting #3: cost 24 inf + 692 78.439 * * [simplify]: Extracting #4: cost 3 inf + 3057 78.440 * * [simplify]: Extracting #5: cost 0 inf + 3504 78.442 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 78.442 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.442 * * * * [progress]: [ 157 / 226 ] simplifiying candidate # 78.442 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 78.442 * * [simplify]: iters left: 6 (7 enodes) 78.446 * * [simplify]: iters left: 5 (31 enodes) 78.452 * * [simplify]: iters left: 4 (51 enodes) 78.460 * * [simplify]: iters left: 3 (64 enodes) 78.469 * * [simplify]: iters left: 2 (77 enodes) 78.480 * * [simplify]: iters left: 1 (84 enodes) 78.501 * * [simplify]: Extracting #0: cost 1 inf + 0 78.501 * * [simplify]: Extracting #1: cost 11 inf + 0 78.501 * * [simplify]: Extracting #2: cost 26 inf + 42 78.502 * * [simplify]: Extracting #3: cost 24 inf + 452 78.502 * * [simplify]: Extracting #4: cost 3 inf + 2337 78.504 * * [simplify]: Extracting #5: cost 0 inf + 2704 78.505 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 78.505 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.505 * * * * [progress]: [ 158 / 226 ] simplifiying candidate # 78.505 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 78.505 * * [simplify]: iters left: 6 (6 enodes) 78.510 * * [simplify]: iters left: 5 (29 enodes) 78.520 * * [simplify]: iters left: 4 (44 enodes) 78.533 * * [simplify]: iters left: 3 (50 enodes) 78.549 * * [simplify]: iters left: 2 (57 enodes) 78.567 * * [simplify]: Extracting #0: cost 1 inf + 0 78.567 * * [simplify]: Extracting #1: cost 9 inf + 0 78.567 * * [simplify]: Extracting #2: cost 15 inf + 3 78.568 * * [simplify]: Extracting #3: cost 11 inf + 131 78.568 * * [simplify]: Extracting #4: cost 2 inf + 711 78.568 * * [simplify]: Extracting #5: cost 0 inf + 836 78.569 * [simplify]: Simplified to (- 1/4 (/ k 4)) 78.569 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.569 * * * * [progress]: [ 159 / 226 ] simplifiying candidate # 78.569 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 78.570 * * [simplify]: iters left: 6 (7 enodes) 78.574 * * [simplify]: iters left: 5 (31 enodes) 78.583 * * [simplify]: iters left: 4 (51 enodes) 78.591 * * [simplify]: iters left: 3 (64 enodes) 78.601 * * [simplify]: iters left: 2 (77 enodes) 78.613 * * [simplify]: iters left: 1 (84 enodes) 78.624 * * [simplify]: Extracting #0: cost 1 inf + 0 78.624 * * [simplify]: Extracting #1: cost 11 inf + 0 78.624 * * [simplify]: Extracting #2: cost 26 inf + 82 78.624 * * [simplify]: Extracting #3: cost 24 inf + 692 78.625 * * [simplify]: Extracting #4: cost 3 inf + 3057 78.625 * * [simplify]: Extracting #5: cost 0 inf + 3504 78.626 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 78.626 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.626 * * * * [progress]: [ 160 / 226 ] simplifiying candidate # 78.626 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 78.626 * * [simplify]: iters left: 6 (7 enodes) 78.629 * * [simplify]: iters left: 5 (31 enodes) 78.635 * * [simplify]: iters left: 4 (51 enodes) 78.643 * * [simplify]: iters left: 3 (64 enodes) 78.655 * * [simplify]: iters left: 2 (77 enodes) 78.670 * * [simplify]: iters left: 1 (84 enodes) 78.686 * * [simplify]: Extracting #0: cost 1 inf + 0 78.686 * * [simplify]: Extracting #1: cost 11 inf + 0 78.686 * * [simplify]: Extracting #2: cost 26 inf + 42 78.686 * * [simplify]: Extracting #3: cost 24 inf + 452 78.687 * * [simplify]: Extracting #4: cost 3 inf + 2337 78.687 * * [simplify]: Extracting #5: cost 0 inf + 2704 78.688 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 78.688 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.688 * * * * [progress]: [ 161 / 226 ] simplifiying candidate # 78.688 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 78.689 * * [simplify]: iters left: 6 (6 enodes) 78.691 * * [simplify]: iters left: 5 (29 enodes) 78.697 * * [simplify]: iters left: 4 (44 enodes) 78.703 * * [simplify]: iters left: 3 (50 enodes) 78.711 * * [simplify]: iters left: 2 (57 enodes) 78.719 * * [simplify]: Extracting #0: cost 1 inf + 0 78.719 * * [simplify]: Extracting #1: cost 9 inf + 0 78.719 * * [simplify]: Extracting #2: cost 15 inf + 3 78.719 * * [simplify]: Extracting #3: cost 11 inf + 131 78.719 * * [simplify]: Extracting #4: cost 2 inf + 711 78.720 * * [simplify]: Extracting #5: cost 0 inf + 836 78.720 * [simplify]: Simplified to (- 1/4 (/ k 4)) 78.720 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.720 * * * * [progress]: [ 162 / 226 ] simplifiying candidate # 78.720 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 78.720 * * [simplify]: iters left: 4 (5 enodes) 78.723 * * [simplify]: iters left: 3 (20 enodes) 78.726 * * [simplify]: iters left: 2 (27 enodes) 78.731 * * [simplify]: iters left: 1 (29 enodes) 78.735 * * [simplify]: Extracting #0: cost 1 inf + 0 78.736 * * [simplify]: Extracting #1: cost 8 inf + 0 78.736 * * [simplify]: Extracting #2: cost 4 inf + 449 78.736 * * [simplify]: Extracting #3: cost 0 inf + 895 78.736 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 78.736 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.736 * * * * [progress]: [ 163 / 226 ] simplifiying candidate # 78.736 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 78.736 * * [simplify]: iters left: 4 (5 enodes) 78.739 * * [simplify]: iters left: 3 (20 enodes) 78.744 * * [simplify]: iters left: 2 (27 enodes) 78.749 * * [simplify]: iters left: 1 (29 enodes) 78.754 * * [simplify]: Extracting #0: cost 1 inf + 0 78.754 * * [simplify]: Extracting #1: cost 8 inf + 0 78.754 * * [simplify]: Extracting #2: cost 4 inf + 289 78.754 * * [simplify]: Extracting #3: cost 0 inf + 575 78.754 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 78.754 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.754 * * * * [progress]: [ 164 / 226 ] simplifiying candidate # 78.754 * [simplify]: Simplifying (/ (/ 1 2) 2) 78.754 * * [simplify]: iters left: 4 (4 enodes) 78.757 * * [simplify]: iters left: 3 (19 enodes) 78.761 * * [simplify]: iters left: 2 (23 enodes) 78.764 * * [simplify]: Extracting #0: cost 1 inf + 0 78.764 * * [simplify]: Extracting #1: cost 0 inf + 1 78.764 * [simplify]: Simplified to 1/4 78.764 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.764 * * * * [progress]: [ 165 / 226 ] simplifiying candidate # 78.765 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 78.765 * * [simplify]: iters left: 6 (6 enodes) 78.767 * * [simplify]: iters left: 5 (29 enodes) 78.772 * * [simplify]: iters left: 4 (44 enodes) 78.779 * * [simplify]: iters left: 3 (50 enodes) 78.787 * * [simplify]: iters left: 2 (57 enodes) 78.795 * * [simplify]: Extracting #0: cost 1 inf + 0 78.795 * * [simplify]: Extracting #1: cost 9 inf + 0 78.795 * * [simplify]: Extracting #2: cost 15 inf + 3 78.795 * * [simplify]: Extracting #3: cost 11 inf + 131 78.795 * * [simplify]: Extracting #4: cost 2 inf + 711 78.795 * * [simplify]: Extracting #5: cost 0 inf + 836 78.795 * [simplify]: Simplified to (- 1/4 (/ k 4)) 78.795 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.796 * * * * [progress]: [ 166 / 226 ] simplifiying candidate # 78.796 * [simplify]: Simplifying (/ 1 2) 78.796 * * [simplify]: iters left: 2 (3 enodes) 78.798 * * [simplify]: iters left: 1 (12 enodes) 78.800 * * [simplify]: Extracting #0: cost 1 inf + 0 78.800 * * [simplify]: Extracting #1: cost 0 inf + 1 78.800 * [simplify]: Simplified to 1/2 78.800 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 78.800 * * * * [progress]: [ 167 / 226 ] simplifiying candidate # 78.800 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 78.800 * * [simplify]: iters left: 6 (8 enodes) 78.803 * * [simplify]: iters left: 5 (38 enodes) 78.815 * * [simplify]: iters left: 4 (66 enodes) 78.827 * * [simplify]: iters left: 3 (110 enodes) 78.849 * * [simplify]: iters left: 2 (200 enodes) 78.905 * * [simplify]: iters left: 1 (403 enodes) 79.052 * * [simplify]: Extracting #0: cost 1 inf + 0 79.052 * * [simplify]: Extracting #1: cost 26 inf + 0 79.052 * * [simplify]: Extracting #2: cost 100 inf + 2 79.054 * * [simplify]: Extracting #3: cost 164 inf + 10 79.056 * * [simplify]: Extracting #4: cost 157 inf + 1472 79.062 * * [simplify]: Extracting #5: cost 64 inf + 19273 79.076 * * [simplify]: Extracting #6: cost 8 inf + 47461 79.092 * * [simplify]: Extracting #7: cost 0 inf + 52807 79.112 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 79.112 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 79.113 * * * * [progress]: [ 168 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 169 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 170 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 171 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 172 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 173 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 174 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 175 / 226 ] simplifiying candidate # 79.113 * * * * [progress]: [ 176 / 226 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 79.113 * * * * [progress]: [ 177 / 226 ] simplifiying candidate # 79.114 * [simplify]: Simplifying (* n (* 2 PI)) 79.114 * * [simplify]: iters left: 4 (5 enodes) 79.117 * * [simplify]: iters left: 3 (19 enodes) 79.123 * * [simplify]: iters left: 2 (27 enodes) 79.131 * * [simplify]: iters left: 1 (32 enodes) 79.138 * * [simplify]: Extracting #0: cost 1 inf + 0 79.138 * * [simplify]: Extracting #1: cost 8 inf + 0 79.138 * * [simplify]: Extracting #2: cost 7 inf + 45 79.139 * * [simplify]: Extracting #3: cost 0 inf + 421 79.139 * [simplify]: Simplified to (* (* PI 2) n) 79.139 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 79.139 * * * * [progress]: [ 178 / 226 ] simplifiying candidate # 79.139 * [simplify]: Simplifying (* n (* 2 PI)) 79.140 * * [simplify]: iters left: 4 (5 enodes) 79.142 * * [simplify]: iters left: 3 (19 enodes) 79.148 * * [simplify]: iters left: 2 (27 enodes) 79.156 * * [simplify]: iters left: 1 (32 enodes) 79.164 * * [simplify]: Extracting #0: cost 1 inf + 0 79.164 * * [simplify]: Extracting #1: cost 8 inf + 0 79.164 * * [simplify]: Extracting #2: cost 7 inf + 45 79.165 * * [simplify]: Extracting #3: cost 0 inf + 421 79.165 * [simplify]: Simplified to (* (* PI 2) n) 79.165 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 79.165 * * * * [progress]: [ 179 / 226 ] simplifiying candidate # 79.165 * * * * [progress]: [ 180 / 226 ] simplifiying candidate # 79.166 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 79.166 * * [simplify]: iters left: 5 (8 enodes) 79.170 * * [simplify]: iters left: 4 (28 enodes) 79.179 * * [simplify]: iters left: 3 (36 enodes) 79.189 * * [simplify]: iters left: 2 (42 enodes) 79.200 * * [simplify]: Extracting #0: cost 1 inf + 0 79.200 * * [simplify]: Extracting #1: cost 8 inf + 0 79.200 * * [simplify]: Extracting #2: cost 17 inf + 0 79.200 * * [simplify]: Extracting #3: cost 12 inf + 145 79.200 * * [simplify]: Extracting #4: cost 5 inf + 1197 79.201 * * [simplify]: Extracting #5: cost 1 inf + 1925 79.201 * * [simplify]: Extracting #6: cost 0 inf + 2107 79.202 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 79.202 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2))))) 79.202 * * * * [progress]: [ 181 / 226 ] simplifiying candidate # 79.203 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 79.203 * * [simplify]: iters left: 5 (7 enodes) 79.206 * * [simplify]: iters left: 4 (26 enodes) 79.214 * * [simplify]: iters left: 3 (35 enodes) 79.225 * * [simplify]: iters left: 2 (44 enodes) 79.236 * * [simplify]: Extracting #0: cost 1 inf + 0 79.236 * * [simplify]: Extracting #1: cost 8 inf + 0 79.236 * * [simplify]: Extracting #2: cost 18 inf + 0 79.236 * * [simplify]: Extracting #3: cost 15 inf + 74 79.237 * * [simplify]: Extracting #4: cost 8 inf + 554 79.237 * * [simplify]: Extracting #5: cost 0 inf + 1911 79.238 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 79.238 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2))))) 79.238 * * * * [progress]: [ 182 / 226 ] simplifiying candidate # 79.238 * * * * [progress]: [ 183 / 226 ] simplifiying candidate # 79.238 * * * * [progress]: [ 184 / 226 ] simplifiying candidate # 79.238 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 79.238 * * [simplify]: iters left: 6 (11 enodes) 79.246 * * [simplify]: iters left: 5 (48 enodes) 79.268 * * [simplify]: iters left: 4 (121 enodes) 79.297 * * [simplify]: iters left: 3 (348 enodes) 79.488 * * [simplify]: Extracting #0: cost 1 inf + 0 79.488 * * [simplify]: Extracting #1: cost 67 inf + 0 79.490 * * [simplify]: Extracting #2: cost 165 inf + 786 79.495 * * [simplify]: Extracting #3: cost 85 inf + 10177 79.504 * * [simplify]: Extracting #4: cost 9 inf + 26399 79.510 * * [simplify]: Extracting #5: cost 0 inf + 28546 79.517 * * [simplify]: Extracting #6: cost 0 inf + 28506 79.523 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 79.523 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2))))) 79.523 * * * * [progress]: [ 185 / 226 ] simplifiying candidate # 79.524 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 79.524 * * [simplify]: iters left: 6 (9 enodes) 79.527 * * [simplify]: iters left: 5 (45 enodes) 79.543 * * [simplify]: iters left: 4 (117 enodes) 79.597 * * [simplify]: iters left: 3 (374 enodes) 79.845 * * [simplify]: Extracting #0: cost 1 inf + 0 79.845 * * [simplify]: Extracting #1: cost 77 inf + 0 79.846 * * [simplify]: Extracting #2: cost 184 inf + 984 79.851 * * [simplify]: Extracting #3: cost 106 inf + 11690 79.866 * * [simplify]: Extracting #4: cost 6 inf + 30376 79.876 * * [simplify]: Extracting #5: cost 0 inf + 31644 79.885 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 79.886 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))))) 79.886 * * * * [progress]: [ 186 / 226 ] simplifiying candidate # 79.886 * * * * [progress]: [ 187 / 226 ] simplifiying candidate # 79.886 * * * * [progress]: [ 188 / 226 ] simplifiying candidate # 79.886 * * * * [progress]: [ 189 / 226 ] simplifiying candidate # 79.886 * * * * [progress]: [ 190 / 226 ] simplifiying candidate # 79.886 * * * * [progress]: [ 191 / 226 ] simplifiying candidate # 79.886 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 79.886 * * [simplify]: iters left: 3 (3 enodes) 79.887 * * [simplify]: iters left: 2 (9 enodes) 79.888 * * [simplify]: Extracting #0: cost 1 inf + 0 79.888 * * [simplify]: Extracting #1: cost 3 inf + 0 79.888 * * [simplify]: Extracting #2: cost 5 inf + 0 79.888 * * [simplify]: Extracting #3: cost 4 inf + 1 79.888 * * [simplify]: Extracting #4: cost 0 inf + 405 79.888 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 79.888 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 79.889 * * * * [progress]: [ 192 / 226 ] simplifiying candidate # 79.889 * [simplify]: Simplifying (sqrt n) 79.889 * * [simplify]: iters left: 1 (2 enodes) 79.889 * * [simplify]: Extracting #0: cost 1 inf + 0 79.889 * * [simplify]: Extracting #1: cost 3 inf + 0 79.889 * * [simplify]: Extracting #2: cost 2 inf + 1 79.889 * * [simplify]: Extracting #3: cost 0 inf + 83 79.889 * [simplify]: Simplified to (sqrt n) 79.889 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 79.889 * * * * [progress]: [ 193 / 226 ] simplifiying candidate # 79.889 * * * * [progress]: [ 194 / 226 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))> 79.890 * * * * [progress]: [ 195 / 226 ] simplifiying candidate # 79.890 * * * * [progress]: [ 196 / 226 ] simplifiying candidate # 79.890 * [simplify]: Simplifying (* n (* 2 PI)) 79.890 * * [simplify]: iters left: 4 (5 enodes) 79.891 * * [simplify]: iters left: 3 (19 enodes) 79.894 * * [simplify]: iters left: 2 (27 enodes) 79.898 * * [simplify]: iters left: 1 (32 enodes) 79.902 * * [simplify]: Extracting #0: cost 1 inf + 0 79.902 * * [simplify]: Extracting #1: cost 8 inf + 0 79.902 * * [simplify]: Extracting #2: cost 7 inf + 45 79.903 * * [simplify]: Extracting #3: cost 0 inf + 421 79.903 * [simplify]: Simplified to (* (* PI 2) n) 79.903 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 79.903 * * * * [progress]: [ 197 / 226 ] simplifiying candidate # 79.903 * [simplify]: Simplifying (* n (* 2 PI)) 79.903 * * [simplify]: iters left: 4 (5 enodes) 79.904 * * [simplify]: iters left: 3 (19 enodes) 79.907 * * [simplify]: iters left: 2 (27 enodes) 79.911 * * [simplify]: iters left: 1 (32 enodes) 79.920 * * [simplify]: Extracting #0: cost 1 inf + 0 79.920 * * [simplify]: Extracting #1: cost 8 inf + 0 79.920 * * [simplify]: Extracting #2: cost 7 inf + 45 79.920 * * [simplify]: Extracting #3: cost 0 inf + 421 79.920 * [simplify]: Simplified to (* (* PI 2) n) 79.920 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 79.921 * * * * [progress]: [ 198 / 226 ] simplifiying candidate # 79.921 * * * * [progress]: [ 199 / 226 ] simplifiying candidate # 79.921 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 79.921 * * [simplify]: iters left: 5 (8 enodes) 79.925 * * [simplify]: iters left: 4 (28 enodes) 79.931 * * [simplify]: iters left: 3 (36 enodes) 79.937 * * [simplify]: iters left: 2 (42 enodes) 79.942 * * [simplify]: Extracting #0: cost 1 inf + 0 79.942 * * [simplify]: Extracting #1: cost 8 inf + 0 79.942 * * [simplify]: Extracting #2: cost 17 inf + 0 79.942 * * [simplify]: Extracting #3: cost 12 inf + 145 79.942 * * [simplify]: Extracting #4: cost 5 inf + 1197 79.943 * * [simplify]: Extracting #5: cost 1 inf + 1925 79.943 * * [simplify]: Extracting #6: cost 0 inf + 2107 79.943 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 79.943 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 79.944 * * * * [progress]: [ 200 / 226 ] simplifiying candidate # 79.944 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 79.944 * * [simplify]: iters left: 5 (7 enodes) 79.946 * * [simplify]: iters left: 4 (26 enodes) 79.950 * * [simplify]: iters left: 3 (35 enodes) 79.956 * * [simplify]: iters left: 2 (44 enodes) 79.962 * * [simplify]: Extracting #0: cost 1 inf + 0 79.962 * * [simplify]: Extracting #1: cost 8 inf + 0 79.963 * * [simplify]: Extracting #2: cost 18 inf + 0 79.963 * * [simplify]: Extracting #3: cost 15 inf + 74 79.963 * * [simplify]: Extracting #4: cost 8 inf + 554 79.963 * * [simplify]: Extracting #5: cost 0 inf + 1911 79.964 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 79.964 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 79.964 * * * * [progress]: [ 201 / 226 ] simplifiying candidate # 79.964 * * * * [progress]: [ 202 / 226 ] simplifiying candidate # 79.964 * * * * [progress]: [ 203 / 226 ] simplifiying candidate # 79.965 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 79.965 * * [simplify]: iters left: 6 (11 enodes) 79.973 * * [simplify]: iters left: 5 (48 enodes) 79.983 * * [simplify]: iters left: 4 (121 enodes) 80.020 * * [simplify]: iters left: 3 (348 enodes) 80.205 * * [simplify]: Extracting #0: cost 1 inf + 0 80.205 * * [simplify]: Extracting #1: cost 67 inf + 0 80.206 * * [simplify]: Extracting #2: cost 165 inf + 786 80.210 * * [simplify]: Extracting #3: cost 85 inf + 10177 80.222 * * [simplify]: Extracting #4: cost 9 inf + 26399 80.240 * * [simplify]: Extracting #5: cost 0 inf + 28546 80.252 * * [simplify]: Extracting #6: cost 0 inf + 28506 80.265 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 80.265 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 80.266 * * * * [progress]: [ 204 / 226 ] simplifiying candidate # 80.266 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 80.266 * * [simplify]: iters left: 6 (9 enodes) 80.272 * * [simplify]: iters left: 5 (45 enodes) 80.291 * * [simplify]: iters left: 4 (117 enodes) 80.340 * * [simplify]: iters left: 3 (374 enodes) 80.665 * * [simplify]: Extracting #0: cost 1 inf + 0 80.665 * * [simplify]: Extracting #1: cost 77 inf + 0 80.667 * * [simplify]: Extracting #2: cost 184 inf + 984 80.675 * * [simplify]: Extracting #3: cost 106 inf + 11690 80.697 * * [simplify]: Extracting #4: cost 6 inf + 30376 80.715 * * [simplify]: Extracting #5: cost 0 inf + 31644 80.734 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 80.734 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 80.734 * * * * [progress]: [ 205 / 226 ] simplifiying candidate # 80.734 * * * * [progress]: [ 206 / 226 ] simplifiying candidate # 80.734 * * * * [progress]: [ 207 / 226 ] simplifiying candidate # 80.735 * * * * [progress]: [ 208 / 226 ] simplifiying candidate # 80.735 * * * * [progress]: [ 209 / 226 ] simplifiying candidate # 80.735 * * * * [progress]: [ 210 / 226 ] simplifiying candidate # 80.735 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 80.735 * * [simplify]: iters left: 3 (3 enodes) 80.736 * * [simplify]: iters left: 2 (9 enodes) 80.739 * * [simplify]: Extracting #0: cost 1 inf + 0 80.739 * * [simplify]: Extracting #1: cost 3 inf + 0 80.739 * * [simplify]: Extracting #2: cost 5 inf + 0 80.739 * * [simplify]: Extracting #3: cost 4 inf + 1 80.739 * * [simplify]: Extracting #4: cost 0 inf + 405 80.739 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 80.739 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 80.739 * * * * [progress]: [ 211 / 226 ] simplifiying candidate # 80.740 * [simplify]: Simplifying (sqrt n) 80.740 * * [simplify]: iters left: 1 (2 enodes) 80.741 * * [simplify]: Extracting #0: cost 1 inf + 0 80.741 * * [simplify]: Extracting #1: cost 3 inf + 0 80.741 * * [simplify]: Extracting #2: cost 2 inf + 1 80.741 * * [simplify]: Extracting #3: cost 0 inf + 83 80.741 * [simplify]: Simplified to (sqrt n) 80.741 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 80.741 * * * * [progress]: [ 212 / 226 ] simplifiying candidate # 80.741 * * * * [progress]: [ 213 / 226 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 80.741 * * * * [progress]: [ 214 / 226 ] simplifiying candidate # 80.741 * * * * [progress]: [ 215 / 226 ] simplifiying candidate # 80.742 * [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))))))) 80.742 * * [simplify]: iters left: 6 (37 enodes) 80.765 * * [simplify]: iters left: 5 (190 enodes) 80.822 * * [simplify]: Extracting #0: cost 1 inf + 0 80.822 * * [simplify]: Extracting #1: cost 18 inf + 0 80.823 * * [simplify]: Extracting #2: cost 85 inf + 0 80.823 * * [simplify]: Extracting #3: cost 169 inf + 45 80.825 * * [simplify]: Extracting #4: cost 194 inf + 581 80.830 * * [simplify]: Extracting #5: cost 128 inf + 18118 80.848 * * [simplify]: Extracting #6: cost 27 inf + 64733 80.877 * * [simplify]: Extracting #7: cost 1 inf + 82414 80.899 * * [simplify]: Extracting #8: cost 0 inf + 81915 80.916 * * [simplify]: Extracting #9: cost 0 inf + 81594 80.932 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 80.933 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))))) 80.933 * * * * [progress]: [ 216 / 226 ] simplifiying candidate # 80.934 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 80.934 * * [simplify]: iters left: 6 (15 enodes) 80.943 * * [simplify]: iters left: 5 (65 enodes) 80.969 * * [simplify]: iters left: 4 (123 enodes) 80.998 * * [simplify]: iters left: 3 (360 enodes) 81.152 * * [simplify]: Extracting #0: cost 1 inf + 0 81.153 * * [simplify]: Extracting #1: cost 37 inf + 0 81.153 * * [simplify]: Extracting #2: cost 214 inf + 1 81.156 * * [simplify]: Extracting #3: cost 351 inf + 1827 81.164 * * [simplify]: Extracting #4: cost 217 inf + 29927 81.189 * * [simplify]: Extracting #5: cost 35 inf + 80289 81.219 * * [simplify]: Extracting #6: cost 0 inf + 89737 81.249 * * [simplify]: Extracting #7: cost 0 inf + 88848 81.283 * * [simplify]: Extracting #8: cost 0 inf + 88843 81.314 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 81.314 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))))) 81.315 * * * * [progress]: [ 217 / 226 ] simplifiying candidate # 81.315 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 81.315 * * [simplify]: iters left: 6 (16 enodes) 81.325 * * [simplify]: iters left: 5 (67 enodes) 81.349 * * [simplify]: iters left: 4 (134 enodes) 81.412 * * [simplify]: iters left: 3 (406 enodes) 81.636 * * [simplify]: Extracting #0: cost 1 inf + 0 81.637 * * [simplify]: Extracting #1: cost 39 inf + 0 81.638 * * [simplify]: Extracting #2: cost 241 inf + 72 81.640 * * [simplify]: Extracting #3: cost 449 inf + 888 81.652 * * [simplify]: Extracting #4: cost 276 inf + 41470 81.688 * * [simplify]: Extracting #5: cost 21 inf + 115189 81.730 * * [simplify]: Extracting #6: cost 0 inf + 121987 81.776 * * [simplify]: Extracting #7: cost 0 inf + 121985 81.803 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 81.803 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) 81.803 * * * * [progress]: [ 218 / 226 ] simplifiying candidate # 81.804 * [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))))))) 81.804 * * [simplify]: iters left: 6 (37 enodes) 81.815 * * [simplify]: iters left: 5 (190 enodes) 81.891 * * [simplify]: Extracting #0: cost 1 inf + 0 81.891 * * [simplify]: Extracting #1: cost 18 inf + 0 81.891 * * [simplify]: Extracting #2: cost 85 inf + 0 81.892 * * [simplify]: Extracting #3: cost 169 inf + 45 81.893 * * [simplify]: Extracting #4: cost 194 inf + 581 81.895 * * [simplify]: Extracting #5: cost 128 inf + 18118 81.905 * * [simplify]: Extracting #6: cost 27 inf + 64733 81.920 * * [simplify]: Extracting #7: cost 1 inf + 82414 81.936 * * [simplify]: Extracting #8: cost 0 inf + 81915 81.959 * * [simplify]: Extracting #9: cost 0 inf + 81594 81.990 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 81.991 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 81.991 * * * * [progress]: [ 219 / 226 ] simplifiying candidate # 81.991 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 81.992 * * [simplify]: iters left: 6 (15 enodes) 82.001 * * [simplify]: iters left: 5 (65 enodes) 82.027 * * [simplify]: iters left: 4 (123 enodes) 82.066 * * [simplify]: iters left: 3 (360 enodes) 82.256 * * [simplify]: Extracting #0: cost 1 inf + 0 82.256 * * [simplify]: Extracting #1: cost 37 inf + 0 82.257 * * [simplify]: Extracting #2: cost 214 inf + 1 82.258 * * [simplify]: Extracting #3: cost 351 inf + 1827 82.262 * * [simplify]: Extracting #4: cost 217 inf + 29927 82.281 * * [simplify]: Extracting #5: cost 35 inf + 80289 82.313 * * [simplify]: Extracting #6: cost 0 inf + 89737 82.343 * * [simplify]: Extracting #7: cost 0 inf + 88848 82.379 * * [simplify]: Extracting #8: cost 0 inf + 88843 82.410 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 82.410 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 82.410 * * * * [progress]: [ 220 / 226 ] simplifiying candidate # 82.410 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 82.410 * * [simplify]: iters left: 6 (16 enodes) 82.420 * * [simplify]: iters left: 5 (67 enodes) 82.444 * * [simplify]: iters left: 4 (134 enodes) 82.496 * * [simplify]: iters left: 3 (406 enodes) 82.671 * * [simplify]: Extracting #0: cost 1 inf + 0 82.671 * * [simplify]: Extracting #1: cost 39 inf + 0 82.672 * * [simplify]: Extracting #2: cost 241 inf + 72 82.673 * * [simplify]: Extracting #3: cost 449 inf + 888 82.682 * * [simplify]: Extracting #4: cost 276 inf + 41470 82.711 * * [simplify]: Extracting #5: cost 21 inf + 115189 82.733 * * [simplify]: Extracting #6: cost 0 inf + 121987 82.758 * * [simplify]: Extracting #7: cost 0 inf + 121985 82.800 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 82.800 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 82.800 * * * * [progress]: [ 221 / 226 ] simplifiying candidate # 82.801 * [simplify]: Simplifying (* 2 (* n PI)) 82.801 * * [simplify]: iters left: 4 (5 enodes) 82.804 * * [simplify]: iters left: 3 (19 enodes) 82.810 * * [simplify]: iters left: 2 (27 enodes) 82.818 * * [simplify]: iters left: 1 (32 enodes) 82.826 * * [simplify]: Extracting #0: cost 1 inf + 0 82.826 * * [simplify]: Extracting #1: cost 8 inf + 0 82.827 * * [simplify]: Extracting #2: cost 7 inf + 45 82.827 * * [simplify]: Extracting #3: cost 0 inf + 421 82.827 * [simplify]: Simplified to (* (* PI n) 2) 82.827 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 82.827 * * * * [progress]: [ 222 / 226 ] simplifiying candidate # 82.828 * [simplify]: Simplifying (* 2 (* n PI)) 82.828 * * [simplify]: iters left: 4 (5 enodes) 82.831 * * [simplify]: iters left: 3 (19 enodes) 82.836 * * [simplify]: iters left: 2 (27 enodes) 82.845 * * [simplify]: iters left: 1 (32 enodes) 82.853 * * [simplify]: Extracting #0: cost 1 inf + 0 82.853 * * [simplify]: Extracting #1: cost 8 inf + 0 82.853 * * [simplify]: Extracting #2: cost 7 inf + 45 82.853 * * [simplify]: Extracting #3: cost 0 inf + 421 82.853 * [simplify]: Simplified to (* (* PI n) 2) 82.854 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 82.854 * * * * [progress]: [ 223 / 226 ] simplifiying candidate # 82.854 * [simplify]: Simplifying (* 2 (* n PI)) 82.854 * * [simplify]: iters left: 4 (5 enodes) 82.857 * * [simplify]: iters left: 3 (19 enodes) 82.863 * * [simplify]: iters left: 2 (27 enodes) 82.872 * * [simplify]: iters left: 1 (32 enodes) 82.880 * * [simplify]: Extracting #0: cost 1 inf + 0 82.880 * * [simplify]: Extracting #1: cost 8 inf + 0 82.880 * * [simplify]: Extracting #2: cost 7 inf + 45 82.880 * * [simplify]: Extracting #3: cost 0 inf + 421 82.881 * [simplify]: Simplified to (* (* PI n) 2) 82.881 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 82.881 * * * * [progress]: [ 224 / 226 ] simplifiying candidate # 82.881 * [simplify]: Simplifying (* 2 (* n PI)) 82.881 * * [simplify]: iters left: 4 (5 enodes) 82.884 * * [simplify]: iters left: 3 (19 enodes) 82.891 * * [simplify]: iters left: 2 (27 enodes) 82.899 * * [simplify]: iters left: 1 (32 enodes) 82.907 * * [simplify]: Extracting #0: cost 1 inf + 0 82.907 * * [simplify]: Extracting #1: cost 8 inf + 0 82.907 * * [simplify]: Extracting #2: cost 7 inf + 45 82.907 * * [simplify]: Extracting #3: cost 0 inf + 421 82.908 * [simplify]: Simplified to (* (* PI n) 2) 82.908 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 82.908 * * * * [progress]: [ 225 / 226 ] simplifiying candidate # 82.908 * [simplify]: Simplifying (* 2 (* n PI)) 82.908 * * [simplify]: iters left: 4 (5 enodes) 82.913 * * [simplify]: iters left: 3 (19 enodes) 82.919 * * [simplify]: iters left: 2 (27 enodes) 82.927 * * [simplify]: iters left: 1 (32 enodes) 82.935 * * [simplify]: Extracting #0: cost 1 inf + 0 82.935 * * [simplify]: Extracting #1: cost 8 inf + 0 82.936 * * [simplify]: Extracting #2: cost 7 inf + 45 82.936 * * [simplify]: Extracting #3: cost 0 inf + 421 82.936 * [simplify]: Simplified to (* (* PI n) 2) 82.936 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 82.936 * * * * [progress]: [ 226 / 226 ] simplifiying candidate # 82.936 * [simplify]: Simplifying (* 2 (* n PI)) 82.937 * * [simplify]: iters left: 4 (5 enodes) 82.938 * * [simplify]: iters left: 3 (19 enodes) 82.941 * * [simplify]: iters left: 2 (27 enodes) 82.945 * * [simplify]: iters left: 1 (32 enodes) 82.949 * * [simplify]: Extracting #0: cost 1 inf + 0 82.949 * * [simplify]: Extracting #1: cost 8 inf + 0 82.949 * * [simplify]: Extracting #2: cost 7 inf + 45 82.949 * * [simplify]: Extracting #3: cost 0 inf + 421 82.949 * [simplify]: Simplified to (* (* PI n) 2) 82.949 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 82.950 * * * [progress]: adding candidates to table 86.104 * [progress]: [Phase 3 of 3] Extracting. 86.105 * * [regime]: Finding splitpoints for: (# # # # # # # #) 86.108 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k) 86.108 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 86.180 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # # #) 86.271 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 86.328 * * * [regime]: Found split indices: #