0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.141 * * * [progress]: [2/2] Setting up program. 0.146 * [progress]: [Phase 2 of 3] Improving. 0.146 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.146 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.147 * * [simplify]: iters left: 6 (13 enodes) 0.186 * * [simplify]: iters left: 5 (57 enodes) 0.198 * * [simplify]: iters left: 4 (96 enodes) 0.215 * * [simplify]: iters left: 3 (172 enodes) 0.277 * * [simplify]: iters left: 2 (338 enodes) 0.385 * * [simplify]: Extracting #0: cost 1 inf + 0 0.386 * * [simplify]: Extracting #1: cost 41 inf + 0 0.386 * * [simplify]: Extracting #2: cost 120 inf + 1 0.386 * * [simplify]: Extracting #3: cost 166 inf + 127 0.387 * * [simplify]: Extracting #4: cost 166 inf + 467 0.389 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.396 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.419 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.443 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.456 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.456 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.465 * * [progress]: iteration 1 / 4 0.465 * * * [progress]: picking best candidate 0.473 * * * * [pick]: Picked # 0.473 * * * [progress]: localizing error 0.517 * * * [progress]: generating rewritten candidates 0.517 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.546 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.569 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.586 * * * [progress]: generating series expansions 0.586 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.586 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.586 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.586 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.586 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.586 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.587 * [taylor]: Taking taylor expansion of 1/2 in k 0.587 * [backup-simplify]: Simplify 1/2 into 1/2 0.587 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.587 * [taylor]: Taking taylor expansion of 1 in k 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of k in k 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.587 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.587 * [taylor]: Taking taylor expansion of 2 in k 0.587 * [backup-simplify]: Simplify 2 into 2 0.587 * [taylor]: Taking taylor expansion of (* n PI) in k 0.587 * [taylor]: Taking taylor expansion of n in k 0.587 * [backup-simplify]: Simplify n into n 0.587 * [taylor]: Taking taylor expansion of PI in k 0.587 * [backup-simplify]: Simplify PI into PI 0.587 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.587 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.587 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ 1 0) into 1 0.588 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.588 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.588 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.588 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.588 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.588 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.588 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.588 * [taylor]: Taking taylor expansion of 1/2 in n 0.588 * [backup-simplify]: Simplify 1/2 into 1/2 0.588 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.588 * [taylor]: Taking taylor expansion of 1 in n 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of k in n 0.588 * [backup-simplify]: Simplify k into k 0.588 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.588 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.588 * [taylor]: Taking taylor expansion of 2 in n 0.588 * [backup-simplify]: Simplify 2 into 2 0.588 * [taylor]: Taking taylor expansion of (* n PI) in n 0.588 * [taylor]: Taking taylor expansion of n in n 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of PI in n 0.588 * [backup-simplify]: Simplify PI into PI 0.589 * [backup-simplify]: Simplify (* 0 PI) into 0 0.589 * [backup-simplify]: Simplify (* 2 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.591 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.592 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.592 * [backup-simplify]: Simplify (- k) into (- k) 0.592 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.592 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.593 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.593 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.594 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.594 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.594 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.594 * [taylor]: Taking taylor expansion of 1/2 in n 0.594 * [backup-simplify]: Simplify 1/2 into 1/2 0.594 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.594 * [taylor]: Taking taylor expansion of 1 in n 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of k in n 0.594 * [backup-simplify]: Simplify k into k 0.594 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.594 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.594 * [taylor]: Taking taylor expansion of 2 in n 0.595 * [backup-simplify]: Simplify 2 into 2 0.595 * [taylor]: Taking taylor expansion of (* n PI) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [taylor]: Taking taylor expansion of PI in n 0.595 * [backup-simplify]: Simplify PI into PI 0.595 * [backup-simplify]: Simplify (* 0 PI) into 0 0.596 * [backup-simplify]: Simplify (* 2 0) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.598 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.599 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.600 * [backup-simplify]: Simplify (- k) into (- k) 0.600 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.600 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.602 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.604 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.604 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.604 * [taylor]: Taking taylor expansion of 1/2 in k 0.604 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.604 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.604 * [taylor]: Taking taylor expansion of 1 in k 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of k in k 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.604 * [taylor]: Taking taylor expansion of (log n) in k 0.604 * [taylor]: Taking taylor expansion of n in k 0.604 * [backup-simplify]: Simplify n into n 0.604 * [backup-simplify]: Simplify (log n) into (log n) 0.604 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.604 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.605 * [taylor]: Taking taylor expansion of 2 in k 0.605 * [backup-simplify]: Simplify 2 into 2 0.605 * [taylor]: Taking taylor expansion of PI in k 0.605 * [backup-simplify]: Simplify PI into PI 0.605 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.606 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.608 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.609 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.610 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.611 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.612 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.619 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.620 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.622 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in k 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.623 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (- 1) into -1 0.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.630 * [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))))) 0.633 * [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))))))) 0.636 * [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))))))) 0.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.643 * [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 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.647 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.650 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in k 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.656 * [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 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.666 * [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))))) 0.671 * [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))))) 0.680 * [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))))) 0.682 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.682 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.682 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.682 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.682 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.682 * [taylor]: Taking taylor expansion of 1/2 in k 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.682 * [taylor]: Taking taylor expansion of 1 in k 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.683 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.683 * [taylor]: Taking taylor expansion of 2 in k 0.683 * [backup-simplify]: Simplify 2 into 2 0.683 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.683 * [taylor]: Taking taylor expansion of PI in k 0.683 * [backup-simplify]: Simplify PI into PI 0.683 * [taylor]: Taking taylor expansion of n in k 0.683 * [backup-simplify]: Simplify n into n 0.683 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.683 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.683 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.683 * [backup-simplify]: Simplify (- 1) into -1 0.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.684 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.684 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.685 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.685 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.685 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.685 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.685 * [taylor]: Taking taylor expansion of 1/2 in n 0.685 * [backup-simplify]: Simplify 1/2 into 1/2 0.685 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.685 * [taylor]: Taking taylor expansion of 1 in n 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.685 * [taylor]: Taking taylor expansion of k in n 0.685 * [backup-simplify]: Simplify k into k 0.685 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.685 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.685 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.685 * [taylor]: Taking taylor expansion of 2 in n 0.685 * [backup-simplify]: Simplify 2 into 2 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.685 * [taylor]: Taking taylor expansion of PI in n 0.685 * [backup-simplify]: Simplify PI into PI 0.685 * [taylor]: Taking taylor expansion of n in n 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ PI 1) into PI 0.686 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.687 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.687 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.687 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.688 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.690 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.691 * [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))))) 0.691 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.691 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.691 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.691 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.691 * [taylor]: Taking taylor expansion of 1/2 in n 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.691 * [taylor]: Taking taylor expansion of 1 in n 0.691 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.692 * [taylor]: Taking taylor expansion of k in n 0.692 * [backup-simplify]: Simplify k into k 0.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.692 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.692 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.692 * [taylor]: Taking taylor expansion of 2 in n 0.692 * [backup-simplify]: Simplify 2 into 2 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [backup-simplify]: Simplify PI into PI 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ PI 1) into PI 0.693 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.694 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.694 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.694 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.694 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.696 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.697 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.698 * [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))))) 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.698 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.698 * [taylor]: Taking taylor expansion of 1/2 in k 0.698 * [backup-simplify]: Simplify 1/2 into 1/2 0.698 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.698 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.698 * [taylor]: Taking taylor expansion of 1 in k 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.698 * [taylor]: Taking taylor expansion of k in k 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.699 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.699 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.699 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.699 * [taylor]: Taking taylor expansion of 2 in k 0.699 * [backup-simplify]: Simplify 2 into 2 0.699 * [taylor]: Taking taylor expansion of PI in k 0.699 * [backup-simplify]: Simplify PI into PI 0.700 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.701 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.701 * [taylor]: Taking taylor expansion of (log n) in k 0.701 * [taylor]: Taking taylor expansion of n in k 0.701 * [backup-simplify]: Simplify n into n 0.701 * [backup-simplify]: Simplify (log n) into (log n) 0.701 * [backup-simplify]: Simplify (- 1) into -1 0.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.702 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.709 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.710 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.712 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.713 * [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))))) 0.714 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.719 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.720 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.720 * [taylor]: Taking taylor expansion of 0 in k 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.723 * [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 0.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.724 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.726 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.728 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in k 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.732 * [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 0.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.736 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.737 * [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 0.737 * [taylor]: Taking taylor expansion of 0 in k 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [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)))))) 0.739 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.739 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.739 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.739 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.739 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.739 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.739 * [taylor]: Taking taylor expansion of 1/2 in k 0.739 * [backup-simplify]: Simplify 1/2 into 1/2 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of 1 in k 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.739 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.739 * [taylor]: Taking taylor expansion of -2 in k 0.739 * [backup-simplify]: Simplify -2 into -2 0.739 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.739 * [taylor]: Taking taylor expansion of PI in k 0.739 * [backup-simplify]: Simplify PI into PI 0.739 * [taylor]: Taking taylor expansion of n in k 0.739 * [backup-simplify]: Simplify n into n 0.739 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.739 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.739 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.740 * [backup-simplify]: Simplify (+ 1 0) into 1 0.740 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.740 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.740 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.740 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.740 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.740 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.740 * [taylor]: Taking taylor expansion of 1/2 in n 0.740 * [backup-simplify]: Simplify 1/2 into 1/2 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.740 * [taylor]: Taking taylor expansion of k in n 0.740 * [backup-simplify]: Simplify k into k 0.740 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.740 * [taylor]: Taking taylor expansion of 1 in n 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.740 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.740 * [taylor]: Taking taylor expansion of -2 in n 0.740 * [backup-simplify]: Simplify -2 into -2 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.740 * [taylor]: Taking taylor expansion of PI in n 0.740 * [backup-simplify]: Simplify PI into PI 0.740 * [taylor]: Taking taylor expansion of n in n 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ PI 1) into PI 0.741 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.742 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.742 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.742 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.743 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.744 * [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))))) 0.744 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.744 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.744 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.744 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.744 * [taylor]: Taking taylor expansion of 1/2 in n 0.744 * [backup-simplify]: Simplify 1/2 into 1/2 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.744 * [taylor]: Taking taylor expansion of k in n 0.744 * [backup-simplify]: Simplify k into k 0.744 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.744 * [taylor]: Taking taylor expansion of 1 in n 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.744 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.744 * [taylor]: Taking taylor expansion of -2 in n 0.744 * [backup-simplify]: Simplify -2 into -2 0.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.744 * [taylor]: Taking taylor expansion of PI in n 0.744 * [backup-simplify]: Simplify PI into PI 0.744 * [taylor]: Taking taylor expansion of n in n 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ PI 1) into PI 0.745 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.745 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.746 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.746 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.748 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.749 * [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))))) 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.749 * [taylor]: Taking taylor expansion of 1/2 in k 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.749 * [taylor]: Taking taylor expansion of k in k 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of 1 in k 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.750 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.750 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.750 * [taylor]: Taking taylor expansion of -2 in k 0.750 * [backup-simplify]: Simplify -2 into -2 0.750 * [taylor]: Taking taylor expansion of PI in k 0.750 * [backup-simplify]: Simplify PI into PI 0.750 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.751 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.751 * [taylor]: Taking taylor expansion of (log n) in k 0.751 * [taylor]: Taking taylor expansion of n in k 0.751 * [backup-simplify]: Simplify n into n 0.751 * [backup-simplify]: Simplify (log n) into (log n) 0.752 * [backup-simplify]: Simplify (+ 1 0) into 1 0.752 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.753 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.754 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.755 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.756 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.757 * [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))))) 0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.764 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.765 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.766 * [taylor]: Taking taylor expansion of 0 in k 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.771 * [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 0.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.775 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.778 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.778 * [taylor]: Taking taylor expansion of 0 in k 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.782 * [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 0.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.786 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.787 * [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 0.787 * [taylor]: Taking taylor expansion of 0 in k 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.788 * [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)))))) 0.788 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.788 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.788 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.788 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.788 * [taylor]: Taking taylor expansion of 2 in n 0.788 * [backup-simplify]: Simplify 2 into 2 0.788 * [taylor]: Taking taylor expansion of (* n PI) in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [taylor]: Taking taylor expansion of PI in n 0.788 * [backup-simplify]: Simplify PI into PI 0.788 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.788 * [taylor]: Taking taylor expansion of 2 in n 0.788 * [backup-simplify]: Simplify 2 into 2 0.788 * [taylor]: Taking taylor expansion of (* n PI) in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [taylor]: Taking taylor expansion of PI in n 0.789 * [backup-simplify]: Simplify PI into PI 0.789 * [backup-simplify]: Simplify (* 0 PI) into 0 0.789 * [backup-simplify]: Simplify (* 2 0) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.791 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.791 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.802 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.802 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 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 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [backup-simplify]: Simplify PI into PI 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ PI 1) into PI 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 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [backup-simplify]: Simplify PI into PI 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ PI 1) into PI 0.803 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.803 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.816 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.816 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.816 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.816 * [taylor]: Taking taylor expansion of -2 in n 0.816 * [backup-simplify]: Simplify -2 into -2 0.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.816 * [taylor]: Taking taylor expansion of PI in n 0.816 * [backup-simplify]: Simplify PI into PI 0.816 * [taylor]: Taking taylor expansion of n in n 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (/ PI 1) into PI 0.816 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.816 * [taylor]: Taking taylor expansion of -2 in n 0.816 * [backup-simplify]: Simplify -2 into -2 0.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.816 * [taylor]: Taking taylor expansion of PI in n 0.816 * [backup-simplify]: Simplify PI into PI 0.816 * [taylor]: Taking taylor expansion of n in n 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (/ PI 1) into PI 0.817 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.817 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.826 * [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 0.828 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.828 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.829 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.829 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.829 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.829 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.829 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.829 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.829 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.829 * [taylor]: Taking taylor expansion of 1/2 in k 0.829 * [backup-simplify]: Simplify 1/2 into 1/2 0.829 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.829 * [taylor]: Taking taylor expansion of 1 in k 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [taylor]: Taking taylor expansion of k in k 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.830 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.830 * [taylor]: Taking taylor expansion of 2 in k 0.830 * [backup-simplify]: Simplify 2 into 2 0.830 * [taylor]: Taking taylor expansion of (* n PI) in k 0.830 * [taylor]: Taking taylor expansion of n in k 0.830 * [backup-simplify]: Simplify n into n 0.830 * [taylor]: Taking taylor expansion of PI in k 0.830 * [backup-simplify]: Simplify PI into PI 0.830 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.830 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.830 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.830 * [backup-simplify]: Simplify (- 0) into 0 0.831 * [backup-simplify]: Simplify (+ 1 0) into 1 0.831 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.831 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.832 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.832 * [taylor]: Taking taylor expansion of k in k 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [backup-simplify]: Simplify (sqrt 0) into 0 0.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.834 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.834 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.834 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.834 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.834 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.834 * [taylor]: Taking taylor expansion of 1/2 in n 0.834 * [backup-simplify]: Simplify 1/2 into 1/2 0.834 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.834 * [taylor]: Taking taylor expansion of 1 in n 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [taylor]: Taking taylor expansion of k in n 0.834 * [backup-simplify]: Simplify k into k 0.835 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.835 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.835 * [taylor]: Taking taylor expansion of 2 in n 0.835 * [backup-simplify]: Simplify 2 into 2 0.835 * [taylor]: Taking taylor expansion of (* n PI) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of PI in n 0.835 * [backup-simplify]: Simplify PI into PI 0.835 * [backup-simplify]: Simplify (* 0 PI) into 0 0.836 * [backup-simplify]: Simplify (* 2 0) into 0 0.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.839 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.840 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.840 * [backup-simplify]: Simplify (- k) into (- k) 0.840 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.840 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.842 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.843 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.843 * [taylor]: Taking taylor expansion of k in n 0.843 * [backup-simplify]: Simplify k into k 0.843 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.843 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.844 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.844 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.844 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.844 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.844 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.844 * [taylor]: Taking taylor expansion of 1/2 in n 0.844 * [backup-simplify]: Simplify 1/2 into 1/2 0.844 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.844 * [taylor]: Taking taylor expansion of 1 in n 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [taylor]: Taking taylor expansion of k in n 0.844 * [backup-simplify]: Simplify k into k 0.844 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.844 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.844 * [taylor]: Taking taylor expansion of 2 in n 0.844 * [backup-simplify]: Simplify 2 into 2 0.844 * [taylor]: Taking taylor expansion of (* n PI) in n 0.844 * [taylor]: Taking taylor expansion of n in n 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [taylor]: Taking taylor expansion of PI in n 0.844 * [backup-simplify]: Simplify PI into PI 0.845 * [backup-simplify]: Simplify (* 0 PI) into 0 0.845 * [backup-simplify]: Simplify (* 2 0) into 0 0.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.848 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.849 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.849 * [backup-simplify]: Simplify (- k) into (- k) 0.849 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.849 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.851 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.852 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.853 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.853 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.853 * [taylor]: Taking taylor expansion of k in n 0.853 * [backup-simplify]: Simplify k into k 0.853 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.853 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.854 * [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))) 0.855 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.855 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.855 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.855 * [taylor]: Taking taylor expansion of 1/2 in k 0.855 * [backup-simplify]: Simplify 1/2 into 1/2 0.855 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.855 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.855 * [taylor]: Taking taylor expansion of 1 in k 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [taylor]: Taking taylor expansion of k in k 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.855 * [taylor]: Taking taylor expansion of (log n) in k 0.855 * [taylor]: Taking taylor expansion of n in k 0.855 * [backup-simplify]: Simplify n into n 0.855 * [backup-simplify]: Simplify (log n) into (log n) 0.855 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.855 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.855 * [taylor]: Taking taylor expansion of 2 in k 0.855 * [backup-simplify]: Simplify 2 into 2 0.855 * [taylor]: Taking taylor expansion of PI in k 0.855 * [backup-simplify]: Simplify PI into PI 0.856 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.857 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 1 0) into 1 0.858 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.859 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.860 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.861 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.861 * [taylor]: Taking taylor expansion of k in k 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [backup-simplify]: Simplify (sqrt 0) into 0 0.863 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.865 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.869 * [backup-simplify]: Simplify (- 0) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.872 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.874 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.875 * [taylor]: Taking taylor expansion of 0 in k 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (- 1) into -1 0.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.883 * [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))))) 0.886 * [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))))))) 0.890 * [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))))))) 0.891 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.898 * [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 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.903 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.905 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.907 * [taylor]: Taking taylor expansion of 0 in k 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.915 * [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 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.921 * [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))))) 0.926 * [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)))))))) 0.929 * [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)))))))) 0.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.939 * [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 0.939 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.941 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.942 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.944 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.945 * [taylor]: Taking taylor expansion of 0 in k 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.952 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 0.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.958 * [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 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.970 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.986 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 0.998 * [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)))))))))))))) 1.015 * [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)))))))))))))))))))))) 1.016 * [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)) 1.016 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.016 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.016 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.016 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.016 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.016 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.016 * [taylor]: Taking taylor expansion of 1/2 in k 1.016 * [backup-simplify]: Simplify 1/2 into 1/2 1.016 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.016 * [taylor]: Taking taylor expansion of 1 in k 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.016 * [taylor]: Taking taylor expansion of k in k 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (/ 1 1) into 1 1.017 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.017 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.017 * [taylor]: Taking taylor expansion of 2 in k 1.017 * [backup-simplify]: Simplify 2 into 2 1.017 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.017 * [taylor]: Taking taylor expansion of PI in k 1.017 * [backup-simplify]: Simplify PI into PI 1.017 * [taylor]: Taking taylor expansion of n in k 1.017 * [backup-simplify]: Simplify n into n 1.017 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.017 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.017 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.018 * [backup-simplify]: Simplify (- 1) into -1 1.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.019 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.019 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.019 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.019 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.019 * [taylor]: Taking taylor expansion of k in k 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (sqrt 0) into 0 1.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.021 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.021 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.021 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.021 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.021 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.021 * [taylor]: Taking taylor expansion of 1/2 in n 1.022 * [backup-simplify]: Simplify 1/2 into 1/2 1.022 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.022 * [taylor]: Taking taylor expansion of 1 in n 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.022 * [taylor]: Taking taylor expansion of k in n 1.022 * [backup-simplify]: Simplify k into k 1.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.022 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.022 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.022 * [taylor]: Taking taylor expansion of 2 in n 1.022 * [backup-simplify]: Simplify 2 into 2 1.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.022 * [taylor]: Taking taylor expansion of PI in n 1.022 * [backup-simplify]: Simplify PI into PI 1.022 * [taylor]: Taking taylor expansion of n in n 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (/ PI 1) into PI 1.023 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.024 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.024 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.024 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.024 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.027 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.028 * [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))))) 1.028 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.028 * [taylor]: Taking taylor expansion of k in n 1.028 * [backup-simplify]: Simplify k into k 1.028 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.028 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.028 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.028 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.028 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.028 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.028 * [taylor]: Taking taylor expansion of 1/2 in n 1.028 * [backup-simplify]: Simplify 1/2 into 1/2 1.028 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.028 * [taylor]: Taking taylor expansion of 1 in n 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.028 * [taylor]: Taking taylor expansion of k in n 1.028 * [backup-simplify]: Simplify k into k 1.028 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.028 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.028 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.028 * [taylor]: Taking taylor expansion of 2 in n 1.028 * [backup-simplify]: Simplify 2 into 2 1.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.028 * [taylor]: Taking taylor expansion of PI in n 1.028 * [backup-simplify]: Simplify PI into PI 1.028 * [taylor]: Taking taylor expansion of n in n 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (/ PI 1) into PI 1.029 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.030 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.030 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.030 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.032 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.033 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.034 * [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))))) 1.034 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.034 * [taylor]: Taking taylor expansion of k in n 1.034 * [backup-simplify]: Simplify k into k 1.034 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.036 * [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)) 1.036 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.036 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.036 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.036 * [taylor]: Taking taylor expansion of 1/2 in k 1.036 * [backup-simplify]: Simplify 1/2 into 1/2 1.036 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.036 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.036 * [taylor]: Taking taylor expansion of 1 in k 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.036 * [taylor]: Taking taylor expansion of k in k 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (/ 1 1) into 1 1.037 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.037 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.037 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.037 * [taylor]: Taking taylor expansion of 2 in k 1.037 * [backup-simplify]: Simplify 2 into 2 1.037 * [taylor]: Taking taylor expansion of PI in k 1.037 * [backup-simplify]: Simplify PI into PI 1.037 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.038 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.038 * [taylor]: Taking taylor expansion of (log n) in k 1.038 * [taylor]: Taking taylor expansion of n in k 1.038 * [backup-simplify]: Simplify n into n 1.038 * [backup-simplify]: Simplify (log n) into (log n) 1.039 * [backup-simplify]: Simplify (- 1) into -1 1.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.039 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.040 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.041 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.042 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.043 * [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))))) 1.043 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.043 * [taylor]: Taking taylor expansion of k in k 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (sqrt 0) into 0 1.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (+ 0 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.049 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.050 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.051 * [taylor]: Taking taylor expansion of 0 in k 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.052 * [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))))))) 1.052 * [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))))))) 1.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.056 * [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 1.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.056 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.062 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.063 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.064 * [taylor]: Taking taylor expansion of 0 in k 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.067 * [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))))))) 1.068 * [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))))))) 1.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.073 * [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 1.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.073 * [backup-simplify]: Simplify (- 0) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.076 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.077 * [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 1.079 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.079 * [taylor]: Taking taylor expansion of 0 in k 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.082 * [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))))))) 1.083 * [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))))))) 1.085 * [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)))))))) 1.085 * [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))) 1.086 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.086 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.086 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.086 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.086 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.086 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.086 * [taylor]: Taking taylor expansion of 1/2 in k 1.086 * [backup-simplify]: Simplify 1/2 into 1/2 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.086 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.086 * [taylor]: Taking taylor expansion of k in k 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (/ 1 1) into 1 1.086 * [taylor]: Taking taylor expansion of 1 in k 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.086 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.086 * [taylor]: Taking taylor expansion of -2 in k 1.086 * [backup-simplify]: Simplify -2 into -2 1.086 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.086 * [taylor]: Taking taylor expansion of PI in k 1.086 * [backup-simplify]: Simplify PI into PI 1.086 * [taylor]: Taking taylor expansion of n in k 1.086 * [backup-simplify]: Simplify n into n 1.086 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.086 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.086 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.087 * [backup-simplify]: Simplify (+ 1 0) into 1 1.087 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.087 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.087 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.087 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.087 * [taylor]: Taking taylor expansion of -1 in k 1.087 * [backup-simplify]: Simplify -1 into -1 1.087 * [taylor]: Taking taylor expansion of k in k 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (/ -1 1) into -1 1.088 * [backup-simplify]: Simplify (sqrt 0) into 0 1.088 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.089 * [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))))) 1.089 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.089 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.089 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.089 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.089 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.089 * [taylor]: Taking taylor expansion of 1/2 in n 1.089 * [backup-simplify]: Simplify 1/2 into 1/2 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.089 * [taylor]: Taking taylor expansion of k in n 1.089 * [backup-simplify]: Simplify k into k 1.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.089 * [taylor]: Taking taylor expansion of 1 in n 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.089 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.089 * [taylor]: Taking taylor expansion of -2 in n 1.089 * [backup-simplify]: Simplify -2 into -2 1.089 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.089 * [taylor]: Taking taylor expansion of PI in n 1.089 * [backup-simplify]: Simplify PI into PI 1.089 * [taylor]: Taking taylor expansion of n in n 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (/ PI 1) into PI 1.090 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.090 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.090 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.090 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.092 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.092 * [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))))) 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.092 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.092 * [taylor]: Taking taylor expansion of -1 in n 1.092 * [backup-simplify]: Simplify -1 into -1 1.092 * [taylor]: Taking taylor expansion of k in n 1.092 * [backup-simplify]: Simplify k into k 1.092 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.093 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.093 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.093 * [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))) 1.093 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.093 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.093 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.093 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.093 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.093 * [taylor]: Taking taylor expansion of 1/2 in n 1.094 * [backup-simplify]: Simplify 1/2 into 1/2 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.094 * [taylor]: Taking taylor expansion of k in n 1.094 * [backup-simplify]: Simplify k into k 1.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.094 * [taylor]: Taking taylor expansion of 1 in n 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.094 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.094 * [taylor]: Taking taylor expansion of -2 in n 1.094 * [backup-simplify]: Simplify -2 into -2 1.094 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.094 * [taylor]: Taking taylor expansion of PI in n 1.094 * [backup-simplify]: Simplify PI into PI 1.094 * [taylor]: Taking taylor expansion of n in n 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ PI 1) into PI 1.094 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.095 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.095 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.095 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.097 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.097 * [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))))) 1.097 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.097 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.097 * [taylor]: Taking taylor expansion of -1 in n 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [taylor]: Taking taylor expansion of k in n 1.097 * [backup-simplify]: Simplify k into k 1.097 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.098 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.098 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.098 * [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))) 1.098 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.099 * [taylor]: Taking taylor expansion of 1/2 in k 1.099 * [backup-simplify]: Simplify 1/2 into 1/2 1.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.099 * [taylor]: Taking taylor expansion of k in k 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (/ 1 1) into 1 1.099 * [taylor]: Taking taylor expansion of 1 in k 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.099 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.099 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.099 * [taylor]: Taking taylor expansion of -2 in k 1.099 * [backup-simplify]: Simplify -2 into -2 1.099 * [taylor]: Taking taylor expansion of PI in k 1.099 * [backup-simplify]: Simplify PI into PI 1.099 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.100 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.100 * [taylor]: Taking taylor expansion of (log n) in k 1.100 * [taylor]: Taking taylor expansion of n in k 1.100 * [backup-simplify]: Simplify n into n 1.100 * [backup-simplify]: Simplify (log n) into (log n) 1.100 * [backup-simplify]: Simplify (+ 1 0) into 1 1.100 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.101 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.101 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.102 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.103 * [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))))) 1.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.103 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.103 * [taylor]: Taking taylor expansion of -1 in k 1.103 * [backup-simplify]: Simplify -1 into -1 1.103 * [taylor]: Taking taylor expansion of k in k 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ -1 1) into -1 1.103 * [backup-simplify]: Simplify (sqrt 0) into 0 1.104 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.105 * [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)))))) 1.106 * [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)))))) 1.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.110 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.111 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.112 * [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 1.112 * [taylor]: Taking taylor expansion of 0 in k 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.115 * [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))))))) 1.116 * [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))))))) 1.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.119 * [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 1.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.122 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.123 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.123 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.125 * [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 1.125 * [taylor]: Taking taylor expansion of 0 in k 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.130 * [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))))))) 1.130 * [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))))))) 1.133 * [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)))))))))))) 1.133 * * * [progress]: simplifying candidates 1.133 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.133 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.133 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.133 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.133 * * [simplify]: iters left: 6 (13 enodes) 1.137 * * [simplify]: iters left: 5 (54 enodes) 1.150 * * [simplify]: iters left: 4 (97 enodes) 1.169 * * [simplify]: iters left: 3 (250 enodes) 1.247 * * [simplify]: Extracting #0: cost 1 inf + 0 1.247 * * [simplify]: Extracting #1: cost 34 inf + 0 1.248 * * [simplify]: Extracting #2: cost 100 inf + 73 1.249 * * [simplify]: Extracting #3: cost 126 inf + 1867 1.255 * * [simplify]: Extracting #4: cost 46 inf + 20363 1.267 * * [simplify]: Extracting #5: cost 5 inf + 31901 1.281 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.295 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.295 * [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))) 1.296 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.296 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.296 * * [simplify]: iters left: 6 (12 enodes) 1.303 * * [simplify]: iters left: 5 (52 enodes) 1.325 * * [simplify]: iters left: 4 (90 enodes) 1.359 * * [simplify]: iters left: 3 (207 enodes) 1.436 * * [simplify]: Extracting #0: cost 1 inf + 0 1.437 * * [simplify]: Extracting #1: cost 29 inf + 0 1.437 * * [simplify]: Extracting #2: cost 88 inf + 73 1.438 * * [simplify]: Extracting #3: cost 117 inf + 443 1.439 * * [simplify]: Extracting #4: cost 77 inf + 5789 1.443 * * [simplify]: Extracting #5: cost 28 inf + 17508 1.448 * * [simplify]: Extracting #6: cost 0 inf + 26056 1.454 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.454 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.454 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.454 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.454 * * [simplify]: iters left: 6 (11 enodes) 1.458 * * [simplify]: iters left: 5 (51 enodes) 1.466 * * [simplify]: iters left: 4 (97 enodes) 1.491 * * [simplify]: iters left: 3 (201 enodes) 1.569 * * [simplify]: Extracting #0: cost 1 inf + 0 1.570 * * [simplify]: Extracting #1: cost 31 inf + 0 1.570 * * [simplify]: Extracting #2: cost 94 inf + 2 1.571 * * [simplify]: Extracting #3: cost 127 inf + 355 1.574 * * [simplify]: Extracting #4: cost 75 inf + 7402 1.581 * * [simplify]: Extracting #5: cost 31 inf + 16283 1.591 * * [simplify]: Extracting #6: cost 3 inf + 23308 1.602 * * [simplify]: Extracting #7: cost 0 inf + 24140 1.613 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.613 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.613 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.613 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.613 * [simplify]: Simplifying (* n (* 2 PI)) 1.614 * * [simplify]: iters left: 4 (5 enodes) 1.616 * * [simplify]: iters left: 3 (19 enodes) 1.623 * * [simplify]: iters left: 2 (27 enodes) 1.630 * * [simplify]: iters left: 1 (32 enodes) 1.643 * * [simplify]: Extracting #0: cost 1 inf + 0 1.643 * * [simplify]: Extracting #1: cost 8 inf + 0 1.643 * * [simplify]: Extracting #2: cost 7 inf + 45 1.643 * * [simplify]: Extracting #3: cost 0 inf + 421 1.643 * [simplify]: Simplified to (* (* PI 2) n) 1.643 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.643 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.644 * [simplify]: Simplifying (* n (* 2 PI)) 1.644 * * [simplify]: iters left: 4 (5 enodes) 1.647 * * [simplify]: iters left: 3 (19 enodes) 1.653 * * [simplify]: iters left: 2 (27 enodes) 1.661 * * [simplify]: iters left: 1 (32 enodes) 1.669 * * [simplify]: Extracting #0: cost 1 inf + 0 1.669 * * [simplify]: Extracting #1: cost 8 inf + 0 1.669 * * [simplify]: Extracting #2: cost 7 inf + 45 1.670 * * [simplify]: Extracting #3: cost 0 inf + 421 1.670 * [simplify]: Simplified to (* (* PI 2) n) 1.670 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.670 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.671 * [simplify]: Simplifying (* n (* 2 PI)) 1.671 * * [simplify]: iters left: 4 (5 enodes) 1.674 * * [simplify]: iters left: 3 (19 enodes) 1.680 * * [simplify]: iters left: 2 (27 enodes) 1.688 * * [simplify]: iters left: 1 (32 enodes) 1.697 * * [simplify]: Extracting #0: cost 1 inf + 0 1.697 * * [simplify]: Extracting #1: cost 8 inf + 0 1.697 * * [simplify]: Extracting #2: cost 7 inf + 45 1.697 * * [simplify]: Extracting #3: cost 0 inf + 421 1.698 * [simplify]: Simplified to (* (* PI 2) n) 1.698 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.698 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.698 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.698 * * [simplify]: iters left: 5 (8 enodes) 1.702 * * [simplify]: iters left: 4 (31 enodes) 1.708 * * [simplify]: iters left: 3 (51 enodes) 1.716 * * [simplify]: iters left: 2 (85 enodes) 1.731 * * [simplify]: iters left: 1 (152 enodes) 1.790 * * [simplify]: Extracting #0: cost 1 inf + 0 1.790 * * [simplify]: Extracting #1: cost 13 inf + 0 1.790 * * [simplify]: Extracting #2: cost 59 inf + 1 1.790 * * [simplify]: Extracting #3: cost 76 inf + 9 1.791 * * [simplify]: Extracting #4: cost 41 inf + 3303 1.792 * * [simplify]: Extracting #5: cost 16 inf + 10676 1.795 * * [simplify]: Extracting #6: cost 0 inf + 21028 1.798 * * [simplify]: Extracting #7: cost 0 inf + 20456 1.800 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.800 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1.801 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 1.801 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.801 * * [simplify]: iters left: 5 (6 enodes) 1.803 * * [simplify]: iters left: 4 (26 enodes) 1.808 * * [simplify]: iters left: 3 (35 enodes) 1.813 * * [simplify]: Extracting #0: cost 1 inf + 0 1.813 * * [simplify]: Extracting #1: cost 3 inf + 0 1.813 * * [simplify]: Extracting #2: cost 8 inf + 0 1.813 * * [simplify]: Extracting #3: cost 11 inf + 2 1.813 * * [simplify]: Extracting #4: cost 8 inf + 87 1.814 * * [simplify]: Extracting #5: cost 2 inf + 500 1.814 * * [simplify]: Extracting #6: cost 0 inf + 746 1.814 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.814 * [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))) 1.814 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 1.815 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.815 * * [simplify]: iters left: 5 (6 enodes) 1.819 * * [simplify]: iters left: 4 (26 enodes) 1.828 * * [simplify]: iters left: 3 (35 enodes) 1.838 * * [simplify]: Extracting #0: cost 1 inf + 0 1.838 * * [simplify]: Extracting #1: cost 3 inf + 0 1.838 * * [simplify]: Extracting #2: cost 8 inf + 0 1.838 * * [simplify]: Extracting #3: cost 11 inf + 2 1.838 * * [simplify]: Extracting #4: cost 8 inf + 87 1.838 * * [simplify]: Extracting #5: cost 2 inf + 460 1.839 * * [simplify]: Extracting #6: cost 0 inf + 666 1.839 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 1.839 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 1.839 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 1.840 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 1.840 * * [simplify]: iters left: 5 (7 enodes) 1.844 * * [simplify]: iters left: 4 (25 enodes) 1.852 * * [simplify]: iters left: 3 (30 enodes) 1.861 * * [simplify]: Extracting #0: cost 1 inf + 0 1.861 * * [simplify]: Extracting #1: cost 4 inf + 0 1.861 * * [simplify]: Extracting #2: cost 8 inf + 0 1.861 * * [simplify]: Extracting #3: cost 10 inf + 82 1.862 * * [simplify]: Extracting #4: cost 7 inf + 206 1.862 * * [simplify]: Extracting #5: cost 2 inf + 575 1.862 * * [simplify]: Extracting #6: cost 1 inf + 818 1.862 * * [simplify]: Extracting #7: cost 0 inf + 1061 1.863 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 1.863 * [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))) 1.863 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 1.863 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 1.863 * * [simplify]: iters left: 5 (7 enodes) 1.867 * * [simplify]: iters left: 4 (25 enodes) 1.873 * * [simplify]: iters left: 3 (30 enodes) 1.878 * * [simplify]: Extracting #0: cost 1 inf + 0 1.878 * * [simplify]: Extracting #1: cost 4 inf + 0 1.878 * * [simplify]: Extracting #2: cost 8 inf + 0 1.878 * * [simplify]: Extracting #3: cost 10 inf + 42 1.878 * * [simplify]: Extracting #4: cost 7 inf + 126 1.878 * * [simplify]: Extracting #5: cost 2 inf + 495 1.881 * * [simplify]: Extracting #6: cost 1 inf + 698 1.881 * * [simplify]: Extracting #7: cost 0 inf + 901 1.881 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 1.881 * [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))) 1.881 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 1.881 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 1.881 * * [simplify]: iters left: 5 (6 enodes) 1.883 * * [simplify]: iters left: 4 (22 enodes) 1.887 * * [simplify]: iters left: 3 (27 enodes) 1.892 * * [simplify]: Extracting #0: cost 1 inf + 0 1.892 * * [simplify]: Extracting #1: cost 4 inf + 0 1.892 * * [simplify]: Extracting #2: cost 5 inf + 1 1.892 * * [simplify]: Extracting #3: cost 9 inf + 1 1.892 * * [simplify]: Extracting #4: cost 8 inf + 3 1.892 * * [simplify]: Extracting #5: cost 4 inf + 169 1.892 * * [simplify]: Extracting #6: cost 1 inf + 576 1.892 * * [simplify]: Extracting #7: cost 0 inf + 739 1.892 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 1.892 * [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))) 1.892 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 1.893 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 1.893 * * [simplify]: iters left: 5 (7 enodes) 1.895 * * [simplify]: iters left: 4 (25 enodes) 1.899 * * [simplify]: iters left: 3 (30 enodes) 1.904 * * [simplify]: Extracting #0: cost 1 inf + 0 1.904 * * [simplify]: Extracting #1: cost 4 inf + 0 1.904 * * [simplify]: Extracting #2: cost 8 inf + 0 1.904 * * [simplify]: Extracting #3: cost 10 inf + 82 1.904 * * [simplify]: Extracting #4: cost 7 inf + 206 1.904 * * [simplify]: Extracting #5: cost 2 inf + 495 1.904 * * [simplify]: Extracting #6: cost 1 inf + 698 1.904 * * [simplify]: Extracting #7: cost 0 inf + 901 1.905 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 1.905 * [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))) 1.905 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 1.905 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 1.905 * * [simplify]: iters left: 5 (7 enodes) 1.907 * * [simplify]: iters left: 4 (25 enodes) 1.912 * * [simplify]: iters left: 3 (30 enodes) 1.921 * * [simplify]: Extracting #0: cost 1 inf + 0 1.921 * * [simplify]: Extracting #1: cost 4 inf + 0 1.921 * * [simplify]: Extracting #2: cost 8 inf + 0 1.921 * * [simplify]: Extracting #3: cost 10 inf + 42 1.921 * * [simplify]: Extracting #4: cost 7 inf + 126 1.922 * * [simplify]: Extracting #5: cost 2 inf + 415 1.922 * * [simplify]: Extracting #6: cost 1 inf + 578 1.922 * * [simplify]: Extracting #7: cost 0 inf + 741 1.923 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 1.923 * [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))) 1.923 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 1.923 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 1.923 * * [simplify]: iters left: 5 (6 enodes) 1.926 * * [simplify]: iters left: 4 (22 enodes) 1.934 * * [simplify]: iters left: 3 (27 enodes) 1.942 * * [simplify]: Extracting #0: cost 1 inf + 0 1.942 * * [simplify]: Extracting #1: cost 4 inf + 0 1.942 * * [simplify]: Extracting #2: cost 5 inf + 1 1.942 * * [simplify]: Extracting #3: cost 9 inf + 1 1.942 * * [simplify]: Extracting #4: cost 8 inf + 3 1.943 * * [simplify]: Extracting #5: cost 4 inf + 169 1.943 * * [simplify]: Extracting #6: cost 1 inf + 456 1.943 * * [simplify]: Extracting #7: cost 0 inf + 579 1.943 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 1.943 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 1.943 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 1.944 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 1.944 * * [simplify]: iters left: 4 (6 enodes) 1.948 * * [simplify]: iters left: 3 (25 enodes) 1.955 * * [simplify]: iters left: 2 (36 enodes) 1.961 * * [simplify]: iters left: 1 (40 enodes) 1.967 * * [simplify]: Extracting #0: cost 1 inf + 0 1.967 * * [simplify]: Extracting #1: cost 7 inf + 0 1.967 * * [simplify]: Extracting #2: cost 16 inf + 0 1.967 * * [simplify]: Extracting #3: cost 13 inf + 44 1.967 * * [simplify]: Extracting #4: cost 3 inf + 1103 1.967 * * [simplify]: Extracting #5: cost 0 inf + 1469 1.968 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 1.968 * [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))) 1.968 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 1.968 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 1.968 * * [simplify]: iters left: 4 (6 enodes) 1.970 * * [simplify]: iters left: 3 (25 enodes) 1.974 * * [simplify]: iters left: 2 (36 enodes) 1.980 * * [simplify]: iters left: 1 (40 enodes) 1.989 * * [simplify]: Extracting #0: cost 1 inf + 0 1.989 * * [simplify]: Extracting #1: cost 7 inf + 0 1.989 * * [simplify]: Extracting #2: cost 16 inf + 0 1.989 * * [simplify]: Extracting #3: cost 13 inf + 44 1.989 * * [simplify]: Extracting #4: cost 3 inf + 823 1.989 * * [simplify]: Extracting #5: cost 0 inf + 1069 1.990 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 1.990 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 1.990 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 1.990 * [simplify]: Simplifying (/ (- 1 k) 2) 1.990 * * [simplify]: iters left: 4 (5 enodes) 1.992 * * [simplify]: iters left: 3 (23 enodes) 1.996 * * [simplify]: iters left: 2 (32 enodes) 2.004 * * [simplify]: Extracting #0: cost 1 inf + 0 2.004 * * [simplify]: Extracting #1: cost 6 inf + 0 2.004 * * [simplify]: Extracting #2: cost 9 inf + 2 2.004 * * [simplify]: Extracting #3: cost 6 inf + 87 2.004 * * [simplify]: Extracting #4: cost 0 inf + 420 2.004 * [simplify]: Simplified to (/ (- 1 k) 2) 2.004 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.004 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.005 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.005 * * [simplify]: iters left: 5 (8 enodes) 2.010 * * [simplify]: iters left: 4 (31 enodes) 2.020 * * [simplify]: iters left: 3 (45 enodes) 2.033 * * [simplify]: iters left: 2 (51 enodes) 2.047 * * [simplify]: iters left: 1 (52 enodes) 2.061 * * [simplify]: Extracting #0: cost 1 inf + 0 2.061 * * [simplify]: Extracting #1: cost 8 inf + 0 2.061 * * [simplify]: Extracting #2: cost 18 inf + 0 2.061 * * [simplify]: Extracting #3: cost 19 inf + 2 2.062 * * [simplify]: Extracting #4: cost 9 inf + 977 2.062 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.063 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.064 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.064 * [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))) 2.064 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.064 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.064 * * [simplify]: iters left: 5 (8 enodes) 2.070 * * [simplify]: iters left: 4 (31 enodes) 2.080 * * [simplify]: iters left: 3 (45 enodes) 2.094 * * [simplify]: iters left: 2 (51 enodes) 2.109 * * [simplify]: iters left: 1 (52 enodes) 2.124 * * [simplify]: Extracting #0: cost 1 inf + 0 2.124 * * [simplify]: Extracting #1: cost 8 inf + 0 2.124 * * [simplify]: Extracting #2: cost 18 inf + 0 2.124 * * [simplify]: Extracting #3: cost 19 inf + 2 2.124 * * [simplify]: Extracting #4: cost 9 inf + 697 2.125 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.125 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.126 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.126 * [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))) 2.126 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.127 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.127 * * [simplify]: iters left: 5 (7 enodes) 2.135 * * [simplify]: iters left: 4 (29 enodes) 2.146 * * [simplify]: iters left: 3 (43 enodes) 2.154 * * [simplify]: iters left: 2 (47 enodes) 2.161 * * [simplify]: Extracting #0: cost 1 inf + 0 2.161 * * [simplify]: Extracting #1: cost 7 inf + 0 2.161 * * [simplify]: Extracting #2: cost 11 inf + 2 2.161 * * [simplify]: Extracting #3: cost 13 inf + 3 2.161 * * [simplify]: Extracting #4: cost 11 inf + 45 2.161 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.162 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.162 * [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))) 2.162 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.162 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.162 * * [simplify]: iters left: 5 (7 enodes) 2.164 * * [simplify]: iters left: 4 (28 enodes) 2.169 * * [simplify]: iters left: 3 (39 enodes) 2.176 * * [simplify]: iters left: 2 (43 enodes) 2.186 * * [simplify]: Extracting #0: cost 1 inf + 0 2.186 * * [simplify]: Extracting #1: cost 7 inf + 0 2.186 * * [simplify]: Extracting #2: cost 16 inf + 0 2.186 * * [simplify]: Extracting #3: cost 15 inf + 164 2.187 * * [simplify]: Extracting #4: cost 13 inf + 287 2.187 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.188 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.188 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.188 * [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))) 2.188 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 2.189 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.189 * * [simplify]: iters left: 5 (7 enodes) 2.193 * * [simplify]: iters left: 4 (28 enodes) 2.198 * * [simplify]: iters left: 3 (39 enodes) 2.205 * * [simplify]: iters left: 2 (43 enodes) 2.211 * * [simplify]: Extracting #0: cost 1 inf + 0 2.211 * * [simplify]: Extracting #1: cost 7 inf + 0 2.211 * * [simplify]: Extracting #2: cost 16 inf + 0 2.211 * * [simplify]: Extracting #3: cost 15 inf + 84 2.211 * * [simplify]: Extracting #4: cost 13 inf + 167 2.212 * * [simplify]: Extracting #5: cost 5 inf + 900 2.212 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.212 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.212 * [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))) 2.212 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.212 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.213 * * [simplify]: iters left: 5 (6 enodes) 2.215 * * [simplify]: iters left: 4 (26 enodes) 2.219 * * [simplify]: iters left: 3 (35 enodes) 2.226 * * [simplify]: Extracting #0: cost 1 inf + 0 2.226 * * [simplify]: Extracting #1: cost 6 inf + 0 2.226 * * [simplify]: Extracting #2: cost 9 inf + 2 2.226 * * [simplify]: Extracting #3: cost 11 inf + 3 2.227 * * [simplify]: Extracting #4: cost 10 inf + 4 2.227 * * [simplify]: Extracting #5: cost 3 inf + 535 2.227 * * [simplify]: Extracting #6: cost 0 inf + 822 2.227 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.227 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.228 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 2.228 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.228 * * [simplify]: iters left: 4 (6 enodes) 2.232 * * [simplify]: iters left: 3 (25 enodes) 2.244 * * [simplify]: iters left: 2 (36 enodes) 2.251 * * [simplify]: iters left: 1 (40 enodes) 2.257 * * [simplify]: Extracting #0: cost 1 inf + 0 2.257 * * [simplify]: Extracting #1: cost 7 inf + 0 2.258 * * [simplify]: Extracting #2: cost 16 inf + 0 2.258 * * [simplify]: Extracting #3: cost 13 inf + 44 2.258 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.258 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.258 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.258 * [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))) 2.259 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.259 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.259 * * [simplify]: iters left: 4 (6 enodes) 2.261 * * [simplify]: iters left: 3 (25 enodes) 2.265 * * [simplify]: iters left: 2 (36 enodes) 2.271 * * [simplify]: iters left: 1 (40 enodes) 2.279 * * [simplify]: Extracting #0: cost 1 inf + 0 2.280 * * [simplify]: Extracting #1: cost 7 inf + 0 2.280 * * [simplify]: Extracting #2: cost 16 inf + 0 2.280 * * [simplify]: Extracting #3: cost 13 inf + 44 2.280 * * [simplify]: Extracting #4: cost 3 inf + 823 2.281 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.281 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.281 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.281 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.282 * [simplify]: Simplifying (/ (- 1 k) 2) 2.282 * * [simplify]: iters left: 4 (5 enodes) 2.286 * * [simplify]: iters left: 3 (23 enodes) 2.293 * * [simplify]: iters left: 2 (32 enodes) 2.304 * * [simplify]: Extracting #0: cost 1 inf + 0 2.304 * * [simplify]: Extracting #1: cost 6 inf + 0 2.304 * * [simplify]: Extracting #2: cost 9 inf + 2 2.304 * * [simplify]: Extracting #3: cost 6 inf + 87 2.304 * * [simplify]: Extracting #4: cost 0 inf + 420 2.304 * [simplify]: Simplified to (/ (- 1 k) 2) 2.304 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.304 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.305 * [simplify]: Simplifying (/ (- 1 k) 2) 2.305 * * [simplify]: iters left: 4 (5 enodes) 2.308 * * [simplify]: iters left: 3 (23 enodes) 2.312 * * [simplify]: iters left: 2 (32 enodes) 2.316 * * [simplify]: Extracting #0: cost 1 inf + 0 2.317 * * [simplify]: Extracting #1: cost 6 inf + 0 2.317 * * [simplify]: Extracting #2: cost 9 inf + 2 2.317 * * [simplify]: Extracting #3: cost 6 inf + 87 2.317 * * [simplify]: Extracting #4: cost 0 inf + 420 2.317 * [simplify]: Simplified to (/ (- 1 k) 2) 2.317 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.317 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.317 * [simplify]: Simplifying (/ 1 2) 2.317 * * [simplify]: iters left: 2 (3 enodes) 2.319 * * [simplify]: iters left: 1 (12 enodes) 2.321 * * [simplify]: Extracting #0: cost 1 inf + 0 2.321 * * [simplify]: Extracting #1: cost 0 inf + 1 2.321 * [simplify]: Simplified to 1/2 2.321 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.321 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.322 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.322 * * [simplify]: iters left: 5 (7 enodes) 2.324 * * [simplify]: iters left: 4 (32 enodes) 2.330 * * [simplify]: iters left: 3 (57 enodes) 2.348 * * [simplify]: iters left: 2 (88 enodes) 2.380 * * [simplify]: iters left: 1 (156 enodes) 2.445 * * [simplify]: Extracting #0: cost 1 inf + 0 2.445 * * [simplify]: Extracting #1: cost 13 inf + 0 2.445 * * [simplify]: Extracting #2: cost 49 inf + 2 2.446 * * [simplify]: Extracting #3: cost 80 inf + 6 2.447 * * [simplify]: Extracting #4: cost 58 inf + 1840 2.450 * * [simplify]: Extracting #5: cost 22 inf + 9206 2.455 * * [simplify]: Extracting #6: cost 1 inf + 20886 2.461 * * [simplify]: Extracting #7: cost 0 inf + 21301 2.468 * * [simplify]: Extracting #8: cost 0 inf + 21130 2.474 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.474 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.474 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.474 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.475 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.475 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.475 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.475 * [simplify]: Simplifying (* n (* 2 PI)) 2.475 * * [simplify]: iters left: 4 (5 enodes) 2.478 * * [simplify]: iters left: 3 (19 enodes) 2.485 * * [simplify]: iters left: 2 (27 enodes) 2.497 * * [simplify]: iters left: 1 (32 enodes) 2.501 * * [simplify]: Extracting #0: cost 1 inf + 0 2.501 * * [simplify]: Extracting #1: cost 8 inf + 0 2.501 * * [simplify]: Extracting #2: cost 7 inf + 45 2.501 * * [simplify]: Extracting #3: cost 0 inf + 421 2.501 * [simplify]: Simplified to (* (* PI 2) n) 2.501 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.501 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.501 * [simplify]: Simplifying (* n (* 2 PI)) 2.501 * * [simplify]: iters left: 4 (5 enodes) 2.503 * * [simplify]: iters left: 3 (19 enodes) 2.506 * * [simplify]: iters left: 2 (27 enodes) 2.510 * * [simplify]: iters left: 1 (32 enodes) 2.514 * * [simplify]: Extracting #0: cost 1 inf + 0 2.514 * * [simplify]: Extracting #1: cost 8 inf + 0 2.514 * * [simplify]: Extracting #2: cost 7 inf + 45 2.514 * * [simplify]: Extracting #3: cost 0 inf + 421 2.515 * [simplify]: Simplified to (* (* PI 2) n) 2.515 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.515 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.515 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 2.515 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.515 * * [simplify]: iters left: 5 (8 enodes) 2.517 * * [simplify]: iters left: 4 (28 enodes) 2.526 * * [simplify]: iters left: 3 (36 enodes) 2.537 * * [simplify]: iters left: 2 (42 enodes) 2.545 * * [simplify]: Extracting #0: cost 1 inf + 0 2.545 * * [simplify]: Extracting #1: cost 8 inf + 0 2.545 * * [simplify]: Extracting #2: cost 17 inf + 0 2.545 * * [simplify]: Extracting #3: cost 12 inf + 145 2.545 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.546 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.546 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.546 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.546 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.546 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 2.547 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.547 * * [simplify]: iters left: 5 (7 enodes) 2.549 * * [simplify]: iters left: 4 (26 enodes) 2.553 * * [simplify]: iters left: 3 (35 enodes) 2.558 * * [simplify]: iters left: 2 (44 enodes) 2.564 * * [simplify]: Extracting #0: cost 1 inf + 0 2.564 * * [simplify]: Extracting #1: cost 8 inf + 0 2.564 * * [simplify]: Extracting #2: cost 18 inf + 0 2.565 * * [simplify]: Extracting #3: cost 15 inf + 74 2.565 * * [simplify]: Extracting #4: cost 8 inf + 554 2.565 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.565 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.565 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.565 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 2.565 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 2.565 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 2.566 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.566 * * [simplify]: iters left: 6 (11 enodes) 2.570 * * [simplify]: iters left: 5 (48 enodes) 2.590 * * [simplify]: iters left: 4 (121 enodes) 2.652 * * [simplify]: iters left: 3 (348 enodes) 2.881 * * [simplify]: Extracting #0: cost 1 inf + 0 2.882 * * [simplify]: Extracting #1: cost 67 inf + 0 2.883 * * [simplify]: Extracting #2: cost 165 inf + 786 2.885 * * [simplify]: Extracting #3: cost 85 inf + 10177 2.891 * * [simplify]: Extracting #4: cost 9 inf + 26399 2.898 * * [simplify]: Extracting #5: cost 0 inf + 28546 2.904 * * [simplify]: Extracting #6: cost 0 inf + 28506 2.911 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 2.911 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 2.911 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 2.911 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 2.911 * * [simplify]: iters left: 6 (9 enodes) 2.914 * * [simplify]: iters left: 5 (45 enodes) 2.925 * * [simplify]: iters left: 4 (117 enodes) 2.960 * * [simplify]: iters left: 3 (374 enodes) 3.282 * * [simplify]: Extracting #0: cost 1 inf + 0 3.282 * * [simplify]: Extracting #1: cost 77 inf + 0 3.284 * * [simplify]: Extracting #2: cost 184 inf + 984 3.291 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.299 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.309 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.319 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.319 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.319 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.319 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.319 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.319 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.319 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.319 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.320 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.320 * * [simplify]: iters left: 3 (3 enodes) 3.321 * * [simplify]: iters left: 2 (9 enodes) 3.324 * * [simplify]: Extracting #0: cost 1 inf + 0 3.324 * * [simplify]: Extracting #1: cost 3 inf + 0 3.324 * * [simplify]: Extracting #2: cost 5 inf + 0 3.324 * * [simplify]: Extracting #3: cost 4 inf + 1 3.324 * * [simplify]: Extracting #4: cost 0 inf + 405 3.324 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.324 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.324 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.325 * [simplify]: Simplifying (sqrt n) 3.325 * * [simplify]: iters left: 1 (2 enodes) 3.326 * * [simplify]: Extracting #0: cost 1 inf + 0 3.326 * * [simplify]: Extracting #1: cost 3 inf + 0 3.326 * * [simplify]: Extracting #2: cost 2 inf + 1 3.326 * * [simplify]: Extracting #3: cost 0 inf + 83 3.326 * [simplify]: Simplified to (sqrt n) 3.326 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.326 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.326 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.326 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.326 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.326 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.326 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.326 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.327 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.327 * * [simplify]: iters left: 6 (16 enodes) 3.336 * * [simplify]: iters left: 5 (66 enodes) 3.351 * * [simplify]: iters left: 4 (113 enodes) 3.387 * * [simplify]: iters left: 3 (306 enodes) 3.513 * * [simplify]: Extracting #0: cost 1 inf + 0 3.514 * * [simplify]: Extracting #1: cost 33 inf + 0 3.514 * * [simplify]: Extracting #2: cost 89 inf + 0 3.516 * * [simplify]: Extracting #3: cost 132 inf + 603 3.520 * * [simplify]: Extracting #4: cost 115 inf + 7823 3.533 * * [simplify]: Extracting #5: cost 21 inf + 36693 3.549 * * [simplify]: Extracting #6: cost 0 inf + 43786 3.561 * * [simplify]: Extracting #7: cost 0 inf + 43785 3.571 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.571 * [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))))) 3.571 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.571 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.571 * * [simplify]: iters left: 6 (15 enodes) 3.577 * * [simplify]: iters left: 5 (64 enodes) 3.598 * * [simplify]: iters left: 4 (106 enodes) 3.640 * * [simplify]: iters left: 3 (247 enodes) 3.748 * * [simplify]: Extracting #0: cost 1 inf + 0 3.748 * * [simplify]: Extracting #1: cost 29 inf + 0 3.748 * * [simplify]: Extracting #2: cost 82 inf + 0 3.748 * * [simplify]: Extracting #3: cost 122 inf + 147 3.749 * * [simplify]: Extracting #4: cost 128 inf + 2275 3.753 * * [simplify]: Extracting #5: cost 42 inf + 21718 3.759 * * [simplify]: Extracting #6: cost 4 inf + 33778 3.770 * * [simplify]: Extracting #7: cost 0 inf + 35144 3.784 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 3.785 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 3.785 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 3.785 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.785 * * [simplify]: iters left: 6 (14 enodes) 3.794 * * [simplify]: iters left: 5 (63 enodes) 3.817 * * [simplify]: iters left: 4 (113 enodes) 3.842 * * [simplify]: iters left: 3 (229 enodes) 3.926 * * [simplify]: Extracting #0: cost 1 inf + 0 3.926 * * [simplify]: Extracting #1: cost 23 inf + 0 3.927 * * [simplify]: Extracting #2: cost 83 inf + 0 3.928 * * [simplify]: Extracting #3: cost 120 inf + 284 3.930 * * [simplify]: Extracting #4: cost 111 inf + 4879 3.938 * * [simplify]: Extracting #5: cost 26 inf + 24636 3.952 * * [simplify]: Extracting #6: cost 0 inf + 31546 3.965 * * [simplify]: Extracting #7: cost 0 inf + 31046 3.972 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 3.972 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 3.972 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 3.973 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.973 * * [simplify]: iters left: 6 (14 enodes) 3.977 * * [simplify]: iters left: 5 (63 enodes) 3.991 * * [simplify]: iters left: 4 (113 enodes) 4.025 * * [simplify]: iters left: 3 (229 enodes) 4.142 * * [simplify]: Extracting #0: cost 1 inf + 0 4.142 * * [simplify]: Extracting #1: cost 23 inf + 0 4.142 * * [simplify]: Extracting #2: cost 83 inf + 0 4.143 * * [simplify]: Extracting #3: cost 120 inf + 284 4.145 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.154 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.167 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.180 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.194 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.194 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.194 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 4.195 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.195 * * [simplify]: iters left: 6 (14 enodes) 4.203 * * [simplify]: iters left: 5 (61 enodes) 4.214 * * [simplify]: iters left: 4 (112 enodes) 4.237 * * [simplify]: iters left: 3 (219 enodes) 4.309 * * [simplify]: Extracting #0: cost 1 inf + 0 4.309 * * [simplify]: Extracting #1: cost 24 inf + 0 4.310 * * [simplify]: Extracting #2: cost 109 inf + 0 4.311 * * [simplify]: Extracting #3: cost 171 inf + 75 4.312 * * [simplify]: Extracting #4: cost 167 inf + 904 4.316 * * [simplify]: Extracting #5: cost 91 inf + 14562 4.328 * * [simplify]: Extracting #6: cost 10 inf + 36286 4.346 * * [simplify]: Extracting #7: cost 0 inf + 40306 4.360 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 4.360 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 4.360 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 4.360 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 4.360 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 4.361 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.361 * * [simplify]: iters left: 6 (16 enodes) 4.370 * * [simplify]: iters left: 5 (72 enodes) 4.395 * * [simplify]: iters left: 4 (165 enodes) 4.440 * * [simplify]: iters left: 3 (474 enodes) 4.729 * * [simplify]: Extracting #0: cost 1 inf + 0 4.730 * * [simplify]: Extracting #1: cost 172 inf + 0 4.732 * * [simplify]: Extracting #2: cost 449 inf + 1 4.736 * * [simplify]: Extracting #3: cost 500 inf + 248 4.740 * * [simplify]: Extracting #4: cost 485 inf + 2081 4.754 * * [simplify]: Extracting #5: cost 365 inf + 63723 4.814 * * [simplify]: Extracting #6: cost 66 inf + 281431 4.884 * * [simplify]: Extracting #7: cost 0 inf + 324121 4.978 * * [simplify]: Extracting #8: cost 0 inf + 321869 5.041 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.042 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.042 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 5.042 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 5.042 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 5.042 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 5.042 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 5.043 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.043 * * [simplify]: iters left: 6 (11 enodes) 5.050 * * [simplify]: iters left: 5 (46 enodes) 5.067 * * [simplify]: iters left: 4 (79 enodes) 5.095 * * [simplify]: iters left: 3 (135 enodes) 5.125 * * [simplify]: iters left: 2 (270 enodes) 5.210 * * [simplify]: Extracting #0: cost 1 inf + 0 5.211 * * [simplify]: Extracting #1: cost 56 inf + 0 5.211 * * [simplify]: Extracting #2: cost 151 inf + 0 5.213 * * [simplify]: Extracting #3: cost 211 inf + 3 5.215 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.225 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.241 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.261 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.275 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.292 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.319 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.319 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.320 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.320 * * [simplify]: iters left: 6 (11 enodes) 5.327 * * [simplify]: iters left: 5 (45 enodes) 5.342 * * [simplify]: iters left: 4 (68 enodes) 5.363 * * [simplify]: iters left: 3 (110 enodes) 5.384 * * [simplify]: iters left: 2 (217 enodes) 5.449 * * [simplify]: iters left: 1 (458 enodes) 5.667 * * [simplify]: Extracting #0: cost 1 inf + 0 5.667 * * [simplify]: Extracting #1: cost 45 inf + 0 5.668 * * [simplify]: Extracting #2: cost 132 inf + 0 5.670 * * [simplify]: Extracting #3: cost 212 inf + 3 5.672 * * [simplify]: Extracting #4: cost 213 inf + 801 5.677 * * [simplify]: Extracting #5: cost 140 inf + 15314 5.699 * * [simplify]: Extracting #6: cost 26 inf + 94405 5.731 * * [simplify]: Extracting #7: cost 0 inf + 113797 5.749 * * [simplify]: Extracting #8: cost 0 inf + 112990 5.769 * * [simplify]: Extracting #9: cost 0 inf + 111447 5.796 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 5.796 * [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))))) 5.796 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 5.797 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 5.797 * * [simplify]: iters left: 6 (11 enodes) 5.800 * * [simplify]: iters left: 5 (45 enodes) 5.809 * * [simplify]: iters left: 4 (72 enodes) 5.827 * * [simplify]: iters left: 3 (113 enodes) 5.857 * * [simplify]: iters left: 2 (202 enodes) 5.902 * * [simplify]: iters left: 1 (423 enodes) 6.104 * * [simplify]: Extracting #0: cost 1 inf + 0 6.104 * * [simplify]: Extracting #1: cost 45 inf + 0 6.105 * * [simplify]: Extracting #2: cost 135 inf + 0 6.107 * * [simplify]: Extracting #3: cost 200 inf + 4 6.109 * * [simplify]: Extracting #4: cost 178 inf + 4357 6.119 * * [simplify]: Extracting #5: cost 104 inf + 31155 6.143 * * [simplify]: Extracting #6: cost 30 inf + 80538 6.159 * * [simplify]: Extracting #7: cost 0 inf + 106837 6.172 * * [simplify]: Extracting #8: cost 0 inf + 104726 6.187 * * [simplify]: Extracting #9: cost 0 inf + 104144 6.200 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.200 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.200 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.201 * * [simplify]: iters left: 6 (11 enodes) 6.204 * * [simplify]: iters left: 5 (45 enodes) 6.212 * * [simplify]: iters left: 4 (68 enodes) 6.232 * * [simplify]: iters left: 3 (110 enodes) 6.258 * * [simplify]: iters left: 2 (217 enodes) 6.330 * * [simplify]: iters left: 1 (458 enodes) 6.518 * * [simplify]: Extracting #0: cost 1 inf + 0 6.518 * * [simplify]: Extracting #1: cost 45 inf + 0 6.519 * * [simplify]: Extracting #2: cost 132 inf + 0 6.520 * * [simplify]: Extracting #3: cost 212 inf + 3 6.523 * * [simplify]: Extracting #4: cost 213 inf + 841 6.529 * * [simplify]: Extracting #5: cost 140 inf + 15394 6.552 * * [simplify]: Extracting #6: cost 26 inf + 94485 6.585 * * [simplify]: Extracting #7: cost 0 inf + 113877 6.616 * * [simplify]: Extracting #8: cost 0 inf + 113070 6.634 * * [simplify]: Extracting #9: cost 0 inf + 111527 6.660 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 6.660 * [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))))) 6.660 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 6.660 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.660 * * [simplify]: iters left: 6 (10 enodes) 6.663 * * [simplify]: iters left: 5 (41 enodes) 6.671 * * [simplify]: iters left: 4 (68 enodes) 6.684 * * [simplify]: iters left: 3 (109 enodes) 6.718 * * [simplify]: iters left: 2 (194 enodes) 6.768 * * [simplify]: iters left: 1 (414 enodes) 6.957 * * [simplify]: Extracting #0: cost 1 inf + 0 6.957 * * [simplify]: Extracting #1: cost 45 inf + 0 6.958 * * [simplify]: Extracting #2: cost 141 inf + 0 6.959 * * [simplify]: Extracting #3: cost 206 inf + 4 6.962 * * [simplify]: Extracting #4: cost 180 inf + 9439 6.972 * * [simplify]: Extracting #5: cost 108 inf + 27286 6.986 * * [simplify]: Extracting #6: cost 36 inf + 72454 7.002 * * [simplify]: Extracting #7: cost 0 inf + 101831 7.030 * * [simplify]: Extracting #8: cost 0 inf + 101671 7.057 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.057 * [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))))) 7.057 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.057 * * [simplify]: iters left: 6 (11 enodes) 7.061 * * [simplify]: iters left: 5 (45 enodes) 7.069 * * [simplify]: iters left: 4 (68 enodes) 7.085 * * [simplify]: iters left: 3 (110 enodes) 7.127 * * [simplify]: iters left: 2 (217 enodes) 7.198 * * [simplify]: iters left: 1 (458 enodes) 7.353 * * [simplify]: Extracting #0: cost 1 inf + 0 7.353 * * [simplify]: Extracting #1: cost 45 inf + 0 7.354 * * [simplify]: Extracting #2: cost 132 inf + 0 7.355 * * [simplify]: Extracting #3: cost 212 inf + 3 7.356 * * [simplify]: Extracting #4: cost 213 inf + 761 7.359 * * [simplify]: Extracting #5: cost 140 inf + 15034 7.371 * * [simplify]: Extracting #6: cost 26 inf + 92245 7.395 * * [simplify]: Extracting #7: cost 0 inf + 111037 7.431 * * [simplify]: Extracting #8: cost 0 inf + 110230 7.463 * * [simplify]: Extracting #9: cost 0 inf + 108687 7.496 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 7.496 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 7.496 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 7.497 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 7.497 * * [simplify]: iters left: 6 (9 enodes) 7.503 * * [simplify]: iters left: 5 (38 enodes) 7.518 * * [simplify]: iters left: 4 (63 enodes) 7.535 * * [simplify]: iters left: 3 (100 enodes) 7.553 * * [simplify]: iters left: 2 (175 enodes) 7.618 * * [simplify]: iters left: 1 (360 enodes) 7.823 * * [simplify]: Extracting #0: cost 1 inf + 0 7.823 * * [simplify]: Extracting #1: cost 52 inf + 0 7.824 * * [simplify]: Extracting #2: cost 150 inf + 3 7.824 * * [simplify]: Extracting #3: cost 190 inf + 8 7.825 * * [simplify]: Extracting #4: cost 161 inf + 3039 7.828 * * [simplify]: Extracting #5: cost 116 inf + 9850 7.835 * * [simplify]: Extracting #6: cost 35 inf + 60283 7.851 * * [simplify]: Extracting #7: cost 2 inf + 86206 7.874 * * [simplify]: Extracting #8: cost 0 inf + 87719 7.903 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 7.903 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 7.903 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 7.903 * * [simplify]: iters left: 6 (10 enodes) 7.910 * * [simplify]: iters left: 5 (42 enodes) 7.923 * * [simplify]: iters left: 4 (65 enodes) 7.945 * * [simplify]: iters left: 3 (104 enodes) 7.972 * * [simplify]: iters left: 2 (206 enodes) 8.030 * * [simplify]: iters left: 1 (435 enodes) 8.275 * * [simplify]: Extracting #0: cost 1 inf + 0 8.276 * * [simplify]: Extracting #1: cost 47 inf + 0 8.277 * * [simplify]: Extracting #2: cost 137 inf + 0 8.278 * * [simplify]: Extracting #3: cost 210 inf + 45 8.280 * * [simplify]: Extracting #4: cost 204 inf + 1134 8.285 * * [simplify]: Extracting #5: cost 148 inf + 9351 8.292 * * [simplify]: Extracting #6: cost 67 inf + 53607 8.307 * * [simplify]: Extracting #7: cost 1 inf + 112920 8.328 * * [simplify]: Extracting #8: cost 0 inf + 111430 8.359 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.359 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.359 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 8.360 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.360 * * [simplify]: iters left: 6 (10 enodes) 8.370 * * [simplify]: iters left: 5 (41 enodes) 8.382 * * [simplify]: iters left: 4 (68 enodes) 8.394 * * [simplify]: iters left: 3 (109 enodes) 8.418 * * [simplify]: iters left: 2 (194 enodes) 8.474 * * [simplify]: iters left: 1 (414 enodes) 8.680 * * [simplify]: Extracting #0: cost 1 inf + 0 8.680 * * [simplify]: Extracting #1: cost 45 inf + 0 8.682 * * [simplify]: Extracting #2: cost 141 inf + 0 8.683 * * [simplify]: Extracting #3: cost 206 inf + 4 8.686 * * [simplify]: Extracting #4: cost 180 inf + 9439 8.697 * * [simplify]: Extracting #5: cost 108 inf + 27286 8.720 * * [simplify]: Extracting #6: cost 36 inf + 72454 8.751 * * [simplify]: Extracting #7: cost 0 inf + 101831 8.772 * * [simplify]: Extracting #8: cost 0 inf + 101671 8.788 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.788 * [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))))) 8.788 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.788 * * [simplify]: iters left: 6 (11 enodes) 8.795 * * [simplify]: iters left: 5 (45 enodes) 8.811 * * [simplify]: iters left: 4 (68 enodes) 8.829 * * [simplify]: iters left: 3 (110 enodes) 8.852 * * [simplify]: iters left: 2 (217 enodes) 8.934 * * [simplify]: iters left: 1 (458 enodes) 9.123 * * [simplify]: Extracting #0: cost 1 inf + 0 9.123 * * [simplify]: Extracting #1: cost 45 inf + 0 9.124 * * [simplify]: Extracting #2: cost 132 inf + 0 9.125 * * [simplify]: Extracting #3: cost 212 inf + 3 9.126 * * [simplify]: Extracting #4: cost 213 inf + 761 9.129 * * [simplify]: Extracting #5: cost 140 inf + 15034 9.152 * * [simplify]: Extracting #6: cost 26 inf + 92245 9.179 * * [simplify]: Extracting #7: cost 0 inf + 111037 9.195 * * [simplify]: Extracting #8: cost 0 inf + 110230 9.228 * * [simplify]: Extracting #9: cost 0 inf + 108687 9.259 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 9.259 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 9.259 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.260 * * [simplify]: iters left: 6 (8 enodes) 9.265 * * [simplify]: iters left: 5 (33 enodes) 9.276 * * [simplify]: iters left: 4 (56 enodes) 9.296 * * [simplify]: iters left: 3 (98 enodes) 9.335 * * [simplify]: iters left: 2 (203 enodes) 9.393 * * [simplify]: iters left: 1 (443 enodes) 9.654 * * [simplify]: Extracting #0: cost 1 inf + 0 9.655 * * [simplify]: Extracting #1: cost 47 inf + 0 9.656 * * [simplify]: Extracting #2: cost 155 inf + 3 9.658 * * [simplify]: Extracting #3: cost 207 inf + 8 9.660 * * [simplify]: Extracting #4: cost 189 inf + 2296 9.667 * * [simplify]: Extracting #5: cost 112 inf + 20090 9.689 * * [simplify]: Extracting #6: cost 19 inf + 81064 9.721 * * [simplify]: Extracting #7: cost 0 inf + 94833 9.755 * * [simplify]: Extracting #8: cost 0 inf + 93433 9.794 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 9.794 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 9.794 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 9.795 * * [simplify]: iters left: 6 (10 enodes) 9.801 * * [simplify]: iters left: 5 (42 enodes) 9.815 * * [simplify]: iters left: 4 (65 enodes) 9.837 * * [simplify]: iters left: 3 (104 enodes) 9.877 * * [simplify]: iters left: 2 (206 enodes) 9.937 * * [simplify]: iters left: 1 (435 enodes) 10.157 * * [simplify]: Extracting #0: cost 1 inf + 0 10.157 * * [simplify]: Extracting #1: cost 47 inf + 0 10.158 * * [simplify]: Extracting #2: cost 137 inf + 0 10.159 * * [simplify]: Extracting #3: cost 210 inf + 45 10.160 * * [simplify]: Extracting #4: cost 204 inf + 1134 10.162 * * [simplify]: Extracting #5: cost 148 inf + 9351 10.169 * * [simplify]: Extracting #6: cost 67 inf + 53607 10.188 * * [simplify]: Extracting #7: cost 1 inf + 112920 10.219 * * [simplify]: Extracting #8: cost 0 inf + 111430 10.254 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.255 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.255 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 10.255 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.255 * * [simplify]: iters left: 6 (16 enodes) 10.264 * * [simplify]: iters left: 5 (69 enodes) 10.288 * * [simplify]: iters left: 4 (117 enodes) 10.316 * * [simplify]: iters left: 3 (164 enodes) 10.352 * * [simplify]: iters left: 2 (236 enodes) 10.408 * * [simplify]: iters left: 1 (387 enodes) 10.544 * * [simplify]: Extracting #0: cost 1 inf + 0 10.544 * * [simplify]: Extracting #1: cost 11 inf + 0 10.544 * * [simplify]: Extracting #2: cost 22 inf + 0 10.544 * * [simplify]: Extracting #3: cost 48 inf + 0 10.545 * * [simplify]: Extracting #4: cost 120 inf + 2 10.545 * * [simplify]: Extracting #5: cost 150 inf + 787 10.547 * * [simplify]: Extracting #6: cost 110 inf + 5219 10.556 * * [simplify]: Extracting #7: cost 48 inf + 27777 10.574 * * [simplify]: Extracting #8: cost 12 inf + 58840 10.594 * * [simplify]: Extracting #9: cost 0 inf + 68408 10.608 * [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)))) 10.608 * [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))))) 10.609 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 10.609 * * [simplify]: iters left: 6 (14 enodes) 10.613 * * [simplify]: iters left: 5 (57 enodes) 10.622 * * [simplify]: iters left: 4 (90 enodes) 10.637 * * [simplify]: iters left: 3 (127 enodes) 10.674 * * [simplify]: iters left: 2 (195 enodes) 10.718 * * [simplify]: iters left: 1 (356 enodes) 10.873 * * [simplify]: Extracting #0: cost 1 inf + 0 10.873 * * [simplify]: Extracting #1: cost 4 inf + 0 10.873 * * [simplify]: Extracting #2: cost 8 inf + 0 10.873 * * [simplify]: Extracting #3: cost 34 inf + 0 10.874 * * [simplify]: Extracting #4: cost 107 inf + 164 10.875 * * [simplify]: Extracting #5: cost 148 inf + 585 10.878 * * [simplify]: Extracting #6: cost 109 inf + 5352 10.886 * * [simplify]: Extracting #7: cost 45 inf + 27047 10.905 * * [simplify]: Extracting #8: cost 6 inf + 58672 10.918 * * [simplify]: Extracting #9: cost 0 inf + 62696 10.929 * * [simplify]: Extracting #10: cost 0 inf + 62192 10.941 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 10.941 * [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))))) 10.942 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 10.942 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 10.942 * * [simplify]: iters left: 6 (16 enodes) 10.951 * * [simplify]: iters left: 5 (66 enodes) 10.972 * * [simplify]: iters left: 4 (103 enodes) 10.992 * * [simplify]: iters left: 3 (142 enodes) 11.016 * * [simplify]: iters left: 2 (210 enodes) 11.066 * * [simplify]: iters left: 1 (370 enodes) 11.193 * * [simplify]: Extracting #0: cost 1 inf + 0 11.193 * * [simplify]: Extracting #1: cost 7 inf + 0 11.193 * * [simplify]: Extracting #2: cost 15 inf + 0 11.193 * * [simplify]: Extracting #3: cost 43 inf + 0 11.194 * * [simplify]: Extracting #4: cost 113 inf + 204 11.194 * * [simplify]: Extracting #5: cost 145 inf + 907 11.196 * * [simplify]: Extracting #6: cost 114 inf + 4465 11.199 * * [simplify]: Extracting #7: cost 52 inf + 23940 11.212 * * [simplify]: Extracting #8: cost 13 inf + 52482 11.231 * * [simplify]: Extracting #9: cost 0 inf + 63276 11.240 * * [simplify]: Extracting #10: cost 0 inf + 62983 11.253 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.253 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.253 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.253 * * [simplify]: iters left: 6 (14 enodes) 11.257 * * [simplify]: iters left: 5 (57 enodes) 11.267 * * [simplify]: iters left: 4 (90 enodes) 11.285 * * [simplify]: iters left: 3 (127 enodes) 11.306 * * [simplify]: iters left: 2 (195 enodes) 11.352 * * [simplify]: iters left: 1 (356 enodes) 11.515 * * [simplify]: Extracting #0: cost 1 inf + 0 11.515 * * [simplify]: Extracting #1: cost 4 inf + 0 11.516 * * [simplify]: Extracting #2: cost 8 inf + 0 11.516 * * [simplify]: Extracting #3: cost 34 inf + 0 11.516 * * [simplify]: Extracting #4: cost 107 inf + 204 11.518 * * [simplify]: Extracting #5: cost 148 inf + 665 11.521 * * [simplify]: Extracting #6: cost 109 inf + 5432 11.525 * * [simplify]: Extracting #7: cost 45 inf + 27127 11.535 * * [simplify]: Extracting #8: cost 6 inf + 58752 11.549 * * [simplify]: Extracting #9: cost 0 inf + 62776 11.571 * * [simplify]: Extracting #10: cost 0 inf + 62272 11.593 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 11.593 * [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))))) 11.593 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 11.593 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 11.594 * * [simplify]: iters left: 6 (15 enodes) 11.602 * * [simplify]: iters left: 5 (62 enodes) 11.621 * * [simplify]: iters left: 4 (99 enodes) 11.637 * * [simplify]: iters left: 3 (142 enodes) 11.667 * * [simplify]: iters left: 2 (215 enodes) 11.733 * * [simplify]: iters left: 1 (364 enodes) 11.899 * * [simplify]: Extracting #0: cost 1 inf + 0 11.899 * * [simplify]: Extracting #1: cost 7 inf + 0 11.899 * * [simplify]: Extracting #2: cost 14 inf + 0 12.255 * * [simplify]: Extracting #3: cost 41 inf + 0 12.256 * * [simplify]: Extracting #4: cost 107 inf + 165 12.256 * * [simplify]: Extracting #5: cost 134 inf + 713 12.258 * * [simplify]: Extracting #6: cost 89 inf + 7533 12.266 * * [simplify]: Extracting #7: cost 28 inf + 38261 12.283 * * [simplify]: Extracting #8: cost 0 inf + 60484 12.295 * * [simplify]: Extracting #9: cost 0 inf + 60062 12.304 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.304 * [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))))) 12.304 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.305 * * [simplify]: iters left: 6 (14 enodes) 12.309 * * [simplify]: iters left: 5 (57 enodes) 12.320 * * [simplify]: iters left: 4 (90 enodes) 12.346 * * [simplify]: iters left: 3 (127 enodes) 12.370 * * [simplify]: iters left: 2 (195 enodes) 12.416 * * [simplify]: iters left: 1 (356 enodes) 12.542 * * [simplify]: Extracting #0: cost 1 inf + 0 12.542 * * [simplify]: Extracting #1: cost 4 inf + 0 12.542 * * [simplify]: Extracting #2: cost 8 inf + 0 12.542 * * [simplify]: Extracting #3: cost 34 inf + 0 12.542 * * [simplify]: Extracting #4: cost 107 inf + 124 12.543 * * [simplify]: Extracting #5: cost 148 inf + 505 12.544 * * [simplify]: Extracting #6: cost 109 inf + 5272 12.548 * * [simplify]: Extracting #7: cost 45 inf + 26887 12.558 * * [simplify]: Extracting #8: cost 6 inf + 58512 12.569 * * [simplify]: Extracting #9: cost 0 inf + 62536 12.587 * * [simplify]: Extracting #10: cost 0 inf + 62032 12.608 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.609 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.609 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 12.609 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.609 * * [simplify]: iters left: 6 (14 enodes) 12.618 * * [simplify]: iters left: 5 (59 enodes) 12.637 * * [simplify]: iters left: 4 (96 enodes) 12.670 * * [simplify]: iters left: 3 (136 enodes) 12.712 * * [simplify]: iters left: 2 (205 enodes) 12.775 * * [simplify]: iters left: 1 (370 enodes) 12.920 * * [simplify]: Extracting #0: cost 1 inf + 0 12.921 * * [simplify]: Extracting #1: cost 5 inf + 0 12.921 * * [simplify]: Extracting #2: cost 7 inf + 1 12.921 * * [simplify]: Extracting #3: cost 31 inf + 1 12.922 * * [simplify]: Extracting #4: cost 103 inf + 2 12.923 * * [simplify]: Extracting #5: cost 150 inf + 218 12.924 * * [simplify]: Extracting #6: cost 149 inf + 478 12.928 * * [simplify]: Extracting #7: cost 93 inf + 8914 12.943 * * [simplify]: Extracting #8: cost 27 inf + 33526 12.969 * * [simplify]: Extracting #9: cost 0 inf + 51357 12.994 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 12.994 * [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)))) 12.995 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 12.995 * * [simplify]: iters left: 6 (13 enodes) 13.003 * * [simplify]: iters left: 5 (54 enodes) 13.025 * * [simplify]: iters left: 4 (87 enodes) 13.053 * * [simplify]: iters left: 3 (128 enodes) 13.076 * * [simplify]: iters left: 2 (197 enodes) 13.151 * * [simplify]: iters left: 1 (354 enodes) 13.286 * * [simplify]: Extracting #0: cost 1 inf + 0 13.286 * * [simplify]: Extracting #1: cost 4 inf + 0 13.286 * * [simplify]: Extracting #2: cost 8 inf + 0 13.286 * * [simplify]: Extracting #3: cost 28 inf + 83 13.287 * * [simplify]: Extracting #4: cost 105 inf + 84 13.288 * * [simplify]: Extracting #5: cost 139 inf + 384 13.290 * * [simplify]: Extracting #6: cost 103 inf + 5239 13.296 * * [simplify]: Extracting #7: cost 50 inf + 20824 13.303 * * [simplify]: Extracting #8: cost 15 inf + 47877 13.313 * * [simplify]: Extracting #9: cost 0 inf + 59693 13.322 * * [simplify]: Extracting #10: cost 0 inf + 59363 13.334 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 13.334 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 13.334 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 13.334 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.334 * * [simplify]: iters left: 6 (15 enodes) 13.338 * * [simplify]: iters left: 5 (62 enodes) 13.349 * * [simplify]: iters left: 4 (99 enodes) 13.373 * * [simplify]: iters left: 3 (142 enodes) 13.410 * * [simplify]: iters left: 2 (215 enodes) 13.468 * * [simplify]: iters left: 1 (364 enodes) 13.607 * * [simplify]: Extracting #0: cost 1 inf + 0 13.607 * * [simplify]: Extracting #1: cost 7 inf + 0 13.607 * * [simplify]: Extracting #2: cost 14 inf + 0 13.607 * * [simplify]: Extracting #3: cost 41 inf + 0 13.608 * * [simplify]: Extracting #4: cost 107 inf + 165 13.608 * * [simplify]: Extracting #5: cost 134 inf + 713 13.610 * * [simplify]: Extracting #6: cost 89 inf + 7533 13.617 * * [simplify]: Extracting #7: cost 28 inf + 38261 13.634 * * [simplify]: Extracting #8: cost 0 inf + 60484 13.656 * * [simplify]: Extracting #9: cost 0 inf + 60062 13.673 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.673 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.673 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.674 * * [simplify]: iters left: 6 (14 enodes) 13.681 * * [simplify]: iters left: 5 (57 enodes) 13.695 * * [simplify]: iters left: 4 (90 enodes) 13.710 * * [simplify]: iters left: 3 (127 enodes) 13.740 * * [simplify]: iters left: 2 (195 enodes) 13.812 * * [simplify]: iters left: 1 (356 enodes) 13.934 * * [simplify]: Extracting #0: cost 1 inf + 0 13.934 * * [simplify]: Extracting #1: cost 4 inf + 0 13.934 * * [simplify]: Extracting #2: cost 8 inf + 0 13.935 * * [simplify]: Extracting #3: cost 34 inf + 0 13.935 * * [simplify]: Extracting #4: cost 107 inf + 124 13.936 * * [simplify]: Extracting #5: cost 148 inf + 505 13.939 * * [simplify]: Extracting #6: cost 109 inf + 5272 13.947 * * [simplify]: Extracting #7: cost 45 inf + 26887 13.970 * * [simplify]: Extracting #8: cost 6 inf + 58512 13.992 * * [simplify]: Extracting #9: cost 0 inf + 62536 14.008 * * [simplify]: Extracting #10: cost 0 inf + 62032 14.019 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.019 * [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))))) 14.020 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 14.020 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.020 * * [simplify]: iters left: 6 (13 enodes) 14.028 * * [simplify]: iters left: 5 (54 enodes) 14.046 * * [simplify]: iters left: 4 (95 enodes) 14.069 * * [simplify]: iters left: 3 (137 enodes) 14.098 * * [simplify]: iters left: 2 (206 enodes) 14.138 * * [simplify]: iters left: 1 (362 enodes) 14.257 * * [simplify]: Extracting #0: cost 1 inf + 0 14.257 * * [simplify]: Extracting #1: cost 5 inf + 0 14.257 * * [simplify]: Extracting #2: cost 7 inf + 1 14.257 * * [simplify]: Extracting #3: cost 32 inf + 1 14.258 * * [simplify]: Extracting #4: cost 110 inf + 2 14.258 * * [simplify]: Extracting #5: cost 158 inf + 176 14.259 * * [simplify]: Extracting #6: cost 151 inf + 644 14.261 * * [simplify]: Extracting #7: cost 91 inf + 10513 14.268 * * [simplify]: Extracting #8: cost 37 inf + 29756 14.279 * * [simplify]: Extracting #9: cost 0 inf + 59764 14.291 * * [simplify]: Extracting #10: cost 0 inf + 58856 14.302 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.302 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 14.302 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.302 * * [simplify]: iters left: 6 (13 enodes) 14.306 * * [simplify]: iters left: 5 (54 enodes) 14.315 * * [simplify]: iters left: 4 (87 enodes) 14.329 * * [simplify]: iters left: 3 (128 enodes) 14.353 * * [simplify]: iters left: 2 (197 enodes) 14.390 * * [simplify]: iters left: 1 (354 enodes) 14.497 * * [simplify]: Extracting #0: cost 1 inf + 0 14.497 * * [simplify]: Extracting #1: cost 4 inf + 0 14.497 * * [simplify]: Extracting #2: cost 8 inf + 0 14.497 * * [simplify]: Extracting #3: cost 28 inf + 83 14.497 * * [simplify]: Extracting #4: cost 105 inf + 84 14.498 * * [simplify]: Extracting #5: cost 139 inf + 384 14.499 * * [simplify]: Extracting #6: cost 103 inf + 5239 14.502 * * [simplify]: Extracting #7: cost 50 inf + 20824 14.509 * * [simplify]: Extracting #8: cost 15 inf + 47877 14.518 * * [simplify]: Extracting #9: cost 0 inf + 59693 14.528 * * [simplify]: Extracting #10: cost 0 inf + 59363 14.537 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 14.537 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 14.537 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 14.537 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.537 * * [simplify]: iters left: 6 (15 enodes) 14.541 * * [simplify]: iters left: 5 (62 enodes) 14.554 * * [simplify]: iters left: 4 (98 enodes) 14.584 * * [simplify]: iters left: 3 (134 enodes) 14.622 * * [simplify]: iters left: 2 (202 enodes) 14.670 * * [simplify]: iters left: 1 (362 enodes) 14.785 * * [simplify]: Extracting #0: cost 1 inf + 0 14.785 * * [simplify]: Extracting #1: cost 6 inf + 0 14.785 * * [simplify]: Extracting #2: cost 13 inf + 0 14.785 * * [simplify]: Extracting #3: cost 43 inf + 0 14.785 * * [simplify]: Extracting #4: cost 120 inf + 285 14.786 * * [simplify]: Extracting #5: cost 141 inf + 1984 14.789 * * [simplify]: Extracting #6: cost 72 inf + 21416 14.803 * * [simplify]: Extracting #7: cost 23 inf + 42391 14.821 * * [simplify]: Extracting #8: cost 0 inf + 61728 14.839 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.839 * [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))))) 14.839 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.840 * * [simplify]: iters left: 6 (14 enodes) 14.847 * * [simplify]: iters left: 5 (57 enodes) 14.870 * * [simplify]: iters left: 4 (91 enodes) 14.899 * * [simplify]: iters left: 3 (127 enodes) 14.941 * * [simplify]: iters left: 2 (195 enodes) 15.018 * * [simplify]: iters left: 1 (354 enodes) 15.179 * * [simplify]: Extracting #0: cost 1 inf + 0 15.179 * * [simplify]: Extracting #1: cost 4 inf + 0 15.179 * * [simplify]: Extracting #2: cost 9 inf + 0 15.180 * * [simplify]: Extracting #3: cost 36 inf + 0 15.180 * * [simplify]: Extracting #4: cost 113 inf + 205 15.182 * * [simplify]: Extracting #5: cost 131 inf + 2415 15.191 * * [simplify]: Extracting #6: cost 45 inf + 33802 15.204 * * [simplify]: Extracting #7: cost 2 inf + 54796 15.218 * * [simplify]: Extracting #8: cost 0 inf + 53175 15.239 * * [simplify]: Extracting #9: cost 0 inf + 52741 15.268 * * [simplify]: Extracting #10: cost 0 inf + 52079 15.297 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.297 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.297 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 15.298 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 15.298 * * [simplify]: iters left: 6 (15 enodes) 15.306 * * [simplify]: iters left: 5 (61 enodes) 15.316 * * [simplify]: iters left: 4 (95 enodes) 15.330 * * [simplify]: iters left: 3 (131 enodes) 15.351 * * [simplify]: iters left: 2 (199 enodes) 15.398 * * [simplify]: iters left: 1 (362 enodes) 15.517 * * [simplify]: Extracting #0: cost 1 inf + 0 15.517 * * [simplify]: Extracting #1: cost 4 inf + 0 15.517 * * [simplify]: Extracting #2: cost 10 inf + 0 15.517 * * [simplify]: Extracting #3: cost 41 inf + 0 15.518 * * [simplify]: Extracting #4: cost 124 inf + 325 15.518 * * [simplify]: Extracting #5: cost 146 inf + 2066 15.523 * * [simplify]: Extracting #6: cost 94 inf + 10304 15.530 * * [simplify]: Extracting #7: cost 23 inf + 47402 15.540 * * [simplify]: Extracting #8: cost 0 inf + 67276 15.550 * * [simplify]: Extracting #9: cost 0 inf + 66421 15.559 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 15.560 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.560 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.560 * * [simplify]: iters left: 6 (14 enodes) 15.564 * * [simplify]: iters left: 5 (57 enodes) 15.574 * * [simplify]: iters left: 4 (91 enodes) 15.588 * * [simplify]: iters left: 3 (127 enodes) 15.623 * * [simplify]: iters left: 2 (195 enodes) 15.666 * * [simplify]: iters left: 1 (354 enodes) 15.792 * * [simplify]: Extracting #0: cost 1 inf + 0 15.792 * * [simplify]: Extracting #1: cost 4 inf + 0 15.792 * * [simplify]: Extracting #2: cost 9 inf + 0 15.792 * * [simplify]: Extracting #3: cost 36 inf + 0 15.793 * * [simplify]: Extracting #4: cost 113 inf + 285 15.794 * * [simplify]: Extracting #5: cost 131 inf + 2495 15.798 * * [simplify]: Extracting #6: cost 45 inf + 33882 15.810 * * [simplify]: Extracting #7: cost 2 inf + 54876 15.825 * * [simplify]: Extracting #8: cost 0 inf + 53255 15.841 * * [simplify]: Extracting #9: cost 0 inf + 52821 15.855 * * [simplify]: Extracting #10: cost 0 inf + 52159 15.873 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.873 * [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))))) 15.873 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 15.874 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.874 * * [simplify]: iters left: 6 (14 enodes) 15.882 * * [simplify]: iters left: 5 (57 enodes) 15.894 * * [simplify]: iters left: 4 (91 enodes) 15.908 * * [simplify]: iters left: 3 (127 enodes) 15.942 * * [simplify]: iters left: 2 (195 enodes) 16.008 * * [simplify]: iters left: 1 (354 enodes) 16.152 * * [simplify]: Extracting #0: cost 1 inf + 0 16.152 * * [simplify]: Extracting #1: cost 4 inf + 0 16.152 * * [simplify]: Extracting #2: cost 9 inf + 0 16.152 * * [simplify]: Extracting #3: cost 36 inf + 0 16.152 * * [simplify]: Extracting #4: cost 113 inf + 165 16.153 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.158 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.169 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.192 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.216 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.231 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.254 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.254 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.254 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.254 * * [simplify]: iters left: 6 (14 enodes) 16.258 * * [simplify]: iters left: 5 (57 enodes) 16.268 * * [simplify]: iters left: 4 (91 enodes) 16.286 * * [simplify]: iters left: 3 (127 enodes) 16.327 * * [simplify]: iters left: 2 (195 enodes) 16.403 * * [simplify]: iters left: 1 (354 enodes) 16.536 * * [simplify]: Extracting #0: cost 1 inf + 0 16.536 * * [simplify]: Extracting #1: cost 4 inf + 0 16.536 * * [simplify]: Extracting #2: cost 9 inf + 0 16.536 * * [simplify]: Extracting #3: cost 36 inf + 0 16.537 * * [simplify]: Extracting #4: cost 113 inf + 165 16.542 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.551 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.574 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.601 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.630 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.658 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.673 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.673 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.673 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 16.674 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 16.674 * * [simplify]: iters left: 6 (13 enodes) 16.678 * * [simplify]: iters left: 5 (54 enodes) 16.689 * * [simplify]: iters left: 4 (88 enodes) 16.719 * * [simplify]: iters left: 3 (127 enodes) 16.759 * * [simplify]: iters left: 2 (196 enodes) 16.814 * * [simplify]: iters left: 1 (362 enodes) 16.941 * * [simplify]: Extracting #0: cost 1 inf + 0 16.941 * * [simplify]: Extracting #1: cost 5 inf + 0 16.941 * * [simplify]: Extracting #2: cost 27 inf + 1 16.942 * * [simplify]: Extracting #3: cost 103 inf + 2 16.943 * * [simplify]: Extracting #4: cost 147 inf + 177 16.944 * * [simplify]: Extracting #5: cost 138 inf + 686 16.948 * * [simplify]: Extracting #6: cost 90 inf + 5192 16.953 * * [simplify]: Extracting #7: cost 29 inf + 34526 16.962 * * [simplify]: Extracting #8: cost 3 inf + 53567 16.971 * * [simplify]: Extracting #9: cost 0 inf + 55996 16.987 * * [simplify]: Extracting #10: cost 0 inf + 55520 17.002 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.002 * [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)))) 17.002 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.002 * * [simplify]: iters left: 6 (13 enodes) 17.006 * * [simplify]: iters left: 5 (54 enodes) 17.019 * * [simplify]: iters left: 4 (88 enodes) 17.038 * * [simplify]: iters left: 3 (125 enodes) 17.078 * * [simplify]: iters left: 2 (193 enodes) 17.126 * * [simplify]: iters left: 1 (356 enodes) 17.254 * * [simplify]: Extracting #0: cost 1 inf + 0 17.254 * * [simplify]: Extracting #1: cost 4 inf + 0 17.254 * * [simplify]: Extracting #2: cost 9 inf + 0 17.254 * * [simplify]: Extracting #3: cost 32 inf + 1 17.255 * * [simplify]: Extracting #4: cost 105 inf + 84 17.256 * * [simplify]: Extracting #5: cost 125 inf + 1632 17.261 * * [simplify]: Extracting #6: cost 73 inf + 13139 17.275 * * [simplify]: Extracting #7: cost 9 inf + 42244 17.288 * * [simplify]: Extracting #8: cost 0 inf + 47700 17.304 * * [simplify]: Extracting #9: cost 0 inf + 47090 17.322 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.322 * [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)))) 17.322 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 17.322 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.322 * * [simplify]: iters left: 6 (14 enodes) 17.327 * * [simplify]: iters left: 5 (57 enodes) 17.339 * * [simplify]: iters left: 4 (91 enodes) 17.367 * * [simplify]: iters left: 3 (127 enodes) 17.409 * * [simplify]: iters left: 2 (195 enodes) 17.486 * * [simplify]: iters left: 1 (354 enodes) 17.617 * * [simplify]: Extracting #0: cost 1 inf + 0 17.618 * * [simplify]: Extracting #1: cost 4 inf + 0 17.618 * * [simplify]: Extracting #2: cost 9 inf + 0 17.618 * * [simplify]: Extracting #3: cost 36 inf + 0 17.618 * * [simplify]: Extracting #4: cost 113 inf + 165 17.619 * * [simplify]: Extracting #5: cost 131 inf + 2335 17.624 * * [simplify]: Extracting #6: cost 45 inf + 33642 17.635 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.654 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.683 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.711 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.739 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.740 * [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))))) 17.740 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.740 * * [simplify]: iters left: 6 (14 enodes) 17.748 * * [simplify]: iters left: 5 (57 enodes) 17.761 * * [simplify]: iters left: 4 (91 enodes) 17.776 * * [simplify]: iters left: 3 (127 enodes) 17.813 * * [simplify]: iters left: 2 (195 enodes) 17.884 * * [simplify]: iters left: 1 (354 enodes) 18.073 * * [simplify]: Extracting #0: cost 1 inf + 0 18.073 * * [simplify]: Extracting #1: cost 4 inf + 0 18.073 * * [simplify]: Extracting #2: cost 9 inf + 0 18.074 * * [simplify]: Extracting #3: cost 36 inf + 0 18.074 * * [simplify]: Extracting #4: cost 113 inf + 165 18.076 * * [simplify]: Extracting #5: cost 131 inf + 2335 18.085 * * [simplify]: Extracting #6: cost 45 inf + 33642 18.103 * * [simplify]: Extracting #7: cost 2 inf + 54636 18.117 * * [simplify]: Extracting #8: cost 0 inf + 53015 18.134 * * [simplify]: Extracting #9: cost 0 inf + 52581 18.162 * * [simplify]: Extracting #10: cost 0 inf + 51919 18.177 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.177 * [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))))) 18.177 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 18.177 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.177 * * [simplify]: iters left: 6 (12 enodes) 18.181 * * [simplify]: iters left: 5 (49 enodes) 18.191 * * [simplify]: iters left: 4 (83 enodes) 18.214 * * [simplify]: iters left: 3 (124 enodes) 18.254 * * [simplify]: iters left: 2 (197 enodes) 18.329 * * [simplify]: iters left: 1 (352 enodes) 18.479 * * [simplify]: Extracting #0: cost 1 inf + 0 18.480 * * [simplify]: Extracting #1: cost 5 inf + 0 18.480 * * [simplify]: Extracting #2: cost 27 inf + 1 18.480 * * [simplify]: Extracting #3: cost 107 inf + 2 18.481 * * [simplify]: Extracting #4: cost 136 inf + 177 18.481 * * [simplify]: Extracting #5: cost 129 inf + 724 18.483 * * [simplify]: Extracting #6: cost 68 inf + 10028 18.489 * * [simplify]: Extracting #7: cost 27 inf + 32706 18.501 * * [simplify]: Extracting #8: cost 0 inf + 57385 18.520 * * [simplify]: Extracting #9: cost 0 inf + 56670 18.542 * * [simplify]: Extracting #10: cost 0 inf + 56408 18.556 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.556 * [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)))) 18.556 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.556 * * [simplify]: iters left: 6 (13 enodes) 18.560 * * [simplify]: iters left: 5 (54 enodes) 18.570 * * [simplify]: iters left: 4 (88 enodes) 18.588 * * [simplify]: iters left: 3 (125 enodes) 18.629 * * [simplify]: iters left: 2 (193 enodes) 18.687 * * [simplify]: iters left: 1 (356 enodes) 18.826 * * [simplify]: Extracting #0: cost 1 inf + 0 18.826 * * [simplify]: Extracting #1: cost 4 inf + 0 18.826 * * [simplify]: Extracting #2: cost 9 inf + 0 18.826 * * [simplify]: Extracting #3: cost 32 inf + 1 18.827 * * [simplify]: Extracting #4: cost 105 inf + 84 18.828 * * [simplify]: Extracting #5: cost 125 inf + 1632 18.833 * * [simplify]: Extracting #6: cost 73 inf + 13139 18.855 * * [simplify]: Extracting #7: cost 9 inf + 42244 18.881 * * [simplify]: Extracting #8: cost 0 inf + 47700 18.901 * * [simplify]: Extracting #9: cost 0 inf + 47090 18.915 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.915 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.915 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 18.915 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.915 * * [simplify]: iters left: 6 (6 enodes) 18.917 * * [simplify]: iters left: 5 (22 enodes) 18.921 * * [simplify]: iters left: 4 (26 enodes) 18.927 * * [simplify]: Extracting #0: cost 1 inf + 0 18.927 * * [simplify]: Extracting #1: cost 6 inf + 0 18.927 * * [simplify]: Extracting #2: cost 9 inf + 1 18.927 * * [simplify]: Extracting #3: cost 11 inf + 1 18.927 * * [simplify]: Extracting #4: cost 8 inf + 84 18.928 * * [simplify]: Extracting #5: cost 2 inf + 1013 18.928 * * [simplify]: Extracting #6: cost 0 inf + 1376 18.929 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.929 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 18.929 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 18.929 * * [simplify]: iters left: 6 (13 enodes) 18.937 * * [simplify]: iters left: 5 (54 enodes) 18.956 * * [simplify]: iters left: 4 (89 enodes) 18.982 * * [simplify]: iters left: 3 (136 enodes) 19.007 * * [simplify]: iters left: 2 (221 enodes) 19.077 * * [simplify]: iters left: 1 (444 enodes) 19.291 * * [simplify]: Extracting #0: cost 1 inf + 0 19.291 * * [simplify]: Extracting #1: cost 51 inf + 0 19.294 * * [simplify]: Extracting #2: cost 141 inf + 0 19.295 * * [simplify]: Extracting #3: cost 217 inf + 3 19.296 * * [simplify]: Extracting #4: cost 206 inf + 1256 19.300 * * [simplify]: Extracting #5: cost 128 inf + 22660 19.315 * * [simplify]: Extracting #6: cost 23 inf + 103572 19.352 * * [simplify]: Extracting #7: cost 0 inf + 122695 19.388 * * [simplify]: Extracting #8: cost 0 inf + 120000 19.414 * * [simplify]: Extracting #9: cost 0 inf + 119244 19.437 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.437 * [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))))) 19.437 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 19.437 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.438 * * [simplify]: iters left: 6 (6 enodes) 19.441 * * [simplify]: iters left: 5 (21 enodes) 19.448 * * [simplify]: iters left: 4 (23 enodes) 19.454 * * [simplify]: Extracting #0: cost 1 inf + 0 19.454 * * [simplify]: Extracting #1: cost 4 inf + 0 19.454 * * [simplify]: Extracting #2: cost 6 inf + 1 19.454 * * [simplify]: Extracting #3: cost 9 inf + 1 19.454 * * [simplify]: Extracting #4: cost 8 inf + 2 19.455 * * [simplify]: Extracting #5: cost 1 inf + 810 19.455 * * [simplify]: Extracting #6: cost 0 inf + 972 19.455 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.455 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.456 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.456 * * [simplify]: iters left: 6 (13 enodes) 19.463 * * [simplify]: iters left: 5 (54 enodes) 19.482 * * [simplify]: iters left: 4 (89 enodes) 19.501 * * [simplify]: iters left: 3 (136 enodes) 19.529 * * [simplify]: iters left: 2 (221 enodes) 19.615 * * [simplify]: iters left: 1 (444 enodes) 19.823 * * [simplify]: Extracting #0: cost 1 inf + 0 19.823 * * [simplify]: Extracting #1: cost 51 inf + 0 19.823 * * [simplify]: Extracting #2: cost 141 inf + 0 19.824 * * [simplify]: Extracting #3: cost 217 inf + 3 19.825 * * [simplify]: Extracting #4: cost 206 inf + 1296 19.829 * * [simplify]: Extracting #5: cost 128 inf + 22740 19.847 * * [simplify]: Extracting #6: cost 23 inf + 103652 19.865 * * [simplify]: Extracting #7: cost 0 inf + 122775 19.884 * * [simplify]: Extracting #8: cost 0 inf + 120080 19.912 * * [simplify]: Extracting #9: cost 0 inf + 119324 19.931 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.931 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.931 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 19.931 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.931 * * [simplify]: iters left: 4 (5 enodes) 19.933 * * [simplify]: iters left: 3 (17 enodes) 19.936 * * [simplify]: iters left: 2 (19 enodes) 19.939 * * [simplify]: Extracting #0: cost 1 inf + 0 19.939 * * [simplify]: Extracting #1: cost 4 inf + 0 19.939 * * [simplify]: Extracting #2: cost 5 inf + 1 19.939 * * [simplify]: Extracting #3: cost 7 inf + 1 19.939 * * [simplify]: Extracting #4: cost 0 inf + 490 19.939 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.939 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.940 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.940 * * [simplify]: iters left: 6 (13 enodes) 19.948 * * [simplify]: iters left: 5 (54 enodes) 19.962 * * [simplify]: iters left: 4 (89 enodes) 19.976 * * [simplify]: iters left: 3 (136 enodes) 20.005 * * [simplify]: iters left: 2 (221 enodes) 20.091 * * [simplify]: iters left: 1 (444 enodes) 20.265 * * [simplify]: Extracting #0: cost 1 inf + 0 20.266 * * [simplify]: Extracting #1: cost 51 inf + 0 20.267 * * [simplify]: Extracting #2: cost 141 inf + 0 20.268 * * [simplify]: Extracting #3: cost 217 inf + 3 20.270 * * [simplify]: Extracting #4: cost 206 inf + 1176 20.277 * * [simplify]: Extracting #5: cost 128 inf + 22380 20.304 * * [simplify]: Extracting #6: cost 23 inf + 101172 20.340 * * [simplify]: Extracting #7: cost 0 inf + 119655 20.369 * * [simplify]: Extracting #8: cost 0 inf + 116960 20.388 * * [simplify]: Extracting #9: cost 0 inf + 116204 20.407 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.407 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 20.408 * [simplify]: Simplifying (/ 1 (sqrt 1)) 20.408 * * [simplify]: iters left: 3 (3 enodes) 20.411 * * [simplify]: iters left: 2 (11 enodes) 20.413 * * [simplify]: iters left: 1 (13 enodes) 20.415 * * [simplify]: Extracting #0: cost 1 inf + 0 20.415 * * [simplify]: Extracting #1: cost 0 inf + 1 20.415 * [simplify]: Simplified to 1 20.415 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.415 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.415 * * [simplify]: iters left: 6 (12 enodes) 20.419 * * [simplify]: iters left: 5 (51 enodes) 20.428 * * [simplify]: iters left: 4 (86 enodes) 20.444 * * [simplify]: iters left: 3 (133 enodes) 20.480 * * [simplify]: iters left: 2 (218 enodes) 20.538 * * [simplify]: iters left: 1 (444 enodes) 20.684 * * [simplify]: Extracting #0: cost 1 inf + 0 20.684 * * [simplify]: Extracting #1: cost 39 inf + 0 20.688 * * [simplify]: Extracting #2: cost 126 inf + 0 20.690 * * [simplify]: Extracting #3: cost 201 inf + 4 20.692 * * [simplify]: Extracting #4: cost 191 inf + 1382 20.697 * * [simplify]: Extracting #5: cost 133 inf + 10319 20.712 * * [simplify]: Extracting #6: cost 56 inf + 58095 20.742 * * [simplify]: Extracting #7: cost 0 inf + 104434 20.773 * * [simplify]: Extracting #8: cost 0 inf + 104433 20.805 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 20.805 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.805 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 20.806 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.806 * * [simplify]: iters left: 4 (5 enodes) 20.809 * * [simplify]: iters left: 3 (17 enodes) 20.814 * * [simplify]: iters left: 2 (19 enodes) 20.818 * * [simplify]: Extracting #0: cost 1 inf + 0 20.818 * * [simplify]: Extracting #1: cost 4 inf + 0 20.818 * * [simplify]: Extracting #2: cost 5 inf + 1 20.818 * * [simplify]: Extracting #3: cost 7 inf + 1 20.818 * * [simplify]: Extracting #4: cost 0 inf + 490 20.818 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.818 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.818 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.818 * * [simplify]: iters left: 6 (13 enodes) 20.822 * * [simplify]: iters left: 5 (54 enodes) 20.833 * * [simplify]: iters left: 4 (89 enodes) 20.850 * * [simplify]: iters left: 3 (136 enodes) 20.874 * * [simplify]: iters left: 2 (221 enodes) 20.919 * * [simplify]: iters left: 1 (444 enodes) 21.140 * * [simplify]: Extracting #0: cost 1 inf + 0 21.140 * * [simplify]: Extracting #1: cost 51 inf + 0 21.141 * * [simplify]: Extracting #2: cost 141 inf + 0 21.143 * * [simplify]: Extracting #3: cost 217 inf + 3 21.145 * * [simplify]: Extracting #4: cost 206 inf + 1176 21.152 * * [simplify]: Extracting #5: cost 128 inf + 22380 21.181 * * [simplify]: Extracting #6: cost 23 inf + 101172 21.219 * * [simplify]: Extracting #7: cost 0 inf + 119655 21.260 * * [simplify]: Extracting #8: cost 0 inf + 116960 21.299 * * [simplify]: Extracting #9: cost 0 inf + 116204 21.324 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.324 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.324 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 21.324 * [simplify]: Simplifying (/ 1 1) 21.324 * * [simplify]: iters left: 2 (2 enodes) 21.325 * * [simplify]: iters left: 1 (6 enodes) 21.326 * * [simplify]: Extracting #0: cost 1 inf + 0 21.327 * * [simplify]: Extracting #1: cost 0 inf + 1 21.327 * [simplify]: Simplified to 1 21.327 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.327 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.327 * * [simplify]: iters left: 6 (12 enodes) 21.330 * * [simplify]: iters left: 5 (51 enodes) 21.339 * * [simplify]: iters left: 4 (86 enodes) 21.361 * * [simplify]: iters left: 3 (133 enodes) 21.393 * * [simplify]: iters left: 2 (218 enodes) 21.448 * * [simplify]: iters left: 1 (444 enodes) 21.616 * * [simplify]: Extracting #0: cost 1 inf + 0 21.617 * * [simplify]: Extracting #1: cost 39 inf + 0 21.617 * * [simplify]: Extracting #2: cost 126 inf + 0 21.618 * * [simplify]: Extracting #3: cost 201 inf + 4 21.619 * * [simplify]: Extracting #4: cost 191 inf + 1382 21.621 * * [simplify]: Extracting #5: cost 133 inf + 10319 21.636 * * [simplify]: Extracting #6: cost 56 inf + 58095 21.665 * * [simplify]: Extracting #7: cost 0 inf + 104434 21.697 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.728 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.728 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.728 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 21.728 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.728 * * [simplify]: iters left: 6 (15 enodes) 21.737 * * [simplify]: iters left: 5 (65 enodes) 21.759 * * [simplify]: iters left: 4 (109 enodes) 21.799 * * [simplify]: iters left: 3 (185 enodes) 21.839 * * [simplify]: iters left: 2 (368 enodes) 21.947 * * [simplify]: Extracting #0: cost 1 inf + 0 21.947 * * [simplify]: Extracting #1: cost 54 inf + 0 21.948 * * [simplify]: Extracting #2: cost 144 inf + 0 21.949 * * [simplify]: Extracting #3: cost 223 inf + 2 21.952 * * [simplify]: Extracting #4: cost 205 inf + 3811 21.959 * * [simplify]: Extracting #5: cost 131 inf + 29200 21.985 * * [simplify]: Extracting #6: cost 16 inf + 109445 22.002 * * [simplify]: Extracting #7: cost 0 inf + 122156 22.027 * * [simplify]: Extracting #8: cost 0 inf + 122025 22.061 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.061 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 22.061 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 22.062 * * [simplify]: iters left: 6 (14 enodes) 22.068 * * [simplify]: iters left: 5 (60 enodes) 22.078 * * [simplify]: iters left: 4 (98 enodes) 22.096 * * [simplify]: iters left: 3 (157 enodes) 22.149 * * [simplify]: iters left: 2 (290 enodes) 22.264 * * [simplify]: Extracting #0: cost 1 inf + 0 22.264 * * [simplify]: Extracting #1: cost 30 inf + 0 22.264 * * [simplify]: Extracting #2: cost 72 inf + 0 22.265 * * [simplify]: Extracting #3: cost 138 inf + 2 22.266 * * [simplify]: Extracting #4: cost 143 inf + 890 22.272 * * [simplify]: Extracting #5: cost 80 inf + 17711 22.285 * * [simplify]: Extracting #6: cost 8 inf + 48515 22.302 * * [simplify]: Extracting #7: cost 0 inf + 53624 22.312 * * [simplify]: Extracting #8: cost 0 inf + 53424 22.321 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 22.321 * [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))))) 22.321 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 22.321 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 22.321 * * [simplify]: iters left: 6 (15 enodes) 22.326 * * [simplify]: iters left: 5 (64 enodes) 22.337 * * [simplify]: iters left: 4 (102 enodes) 22.357 * * [simplify]: iters left: 3 (161 enodes) 22.405 * * [simplify]: iters left: 2 (288 enodes) 22.480 * * [simplify]: Extracting #0: cost 1 inf + 0 22.480 * * [simplify]: Extracting #1: cost 30 inf + 0 22.480 * * [simplify]: Extracting #2: cost 73 inf + 0 22.481 * * [simplify]: Extracting #3: cost 138 inf + 2 22.481 * * [simplify]: Extracting #4: cost 143 inf + 389 22.483 * * [simplify]: Extracting #5: cost 103 inf + 4729 22.491 * * [simplify]: Extracting #6: cost 27 inf + 38097 22.507 * * [simplify]: Extracting #7: cost 0 inf + 59534 22.522 * * [simplify]: Extracting #8: cost 0 inf + 59452 22.538 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 22.538 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 22.538 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 22.538 * * [simplify]: iters left: 6 (14 enodes) 22.547 * * [simplify]: iters left: 5 (60 enodes) 22.559 * * [simplify]: iters left: 4 (98 enodes) 22.586 * * [simplify]: iters left: 3 (157 enodes) 22.622 * * [simplify]: iters left: 2 (290 enodes) 22.705 * * [simplify]: Extracting #0: cost 1 inf + 0 22.706 * * [simplify]: Extracting #1: cost 30 inf + 0 22.706 * * [simplify]: Extracting #2: cost 72 inf + 0 22.707 * * [simplify]: Extracting #3: cost 138 inf + 2 22.708 * * [simplify]: Extracting #4: cost 143 inf + 890 22.713 * * [simplify]: Extracting #5: cost 80 inf + 17791 22.727 * * [simplify]: Extracting #6: cost 8 inf + 48595 22.737 * * [simplify]: Extracting #7: cost 0 inf + 53704 22.746 * * [simplify]: Extracting #8: cost 0 inf + 53504 22.754 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 22.754 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 22.754 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 22.755 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.755 * * [simplify]: iters left: 6 (14 enodes) 22.760 * * [simplify]: iters left: 5 (60 enodes) 22.781 * * [simplify]: iters left: 4 (98 enodes) 22.798 * * [simplify]: iters left: 3 (157 enodes) 22.850 * * [simplify]: iters left: 2 (290 enodes) 22.921 * * [simplify]: Extracting #0: cost 1 inf + 0 22.921 * * [simplify]: Extracting #1: cost 30 inf + 0 22.922 * * [simplify]: Extracting #2: cost 72 inf + 0 22.922 * * [simplify]: Extracting #3: cost 138 inf + 2 22.923 * * [simplify]: Extracting #4: cost 143 inf + 890 22.929 * * [simplify]: Extracting #5: cost 80 inf + 17431 22.943 * * [simplify]: Extracting #6: cost 8 inf + 47315 22.959 * * [simplify]: Extracting #7: cost 0 inf + 52144 22.976 * * [simplify]: Extracting #8: cost 0 inf + 51944 22.992 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.993 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 22.993 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.993 * * [simplify]: iters left: 6 (14 enodes) 23.002 * * [simplify]: iters left: 5 (60 enodes) 23.019 * * [simplify]: iters left: 4 (98 enodes) 23.036 * * [simplify]: iters left: 3 (157 enodes) 23.090 * * [simplify]: iters left: 2 (290 enodes) 23.179 * * [simplify]: Extracting #0: cost 1 inf + 0 23.179 * * [simplify]: Extracting #1: cost 30 inf + 0 23.180 * * [simplify]: Extracting #2: cost 72 inf + 0 23.180 * * [simplify]: Extracting #3: cost 138 inf + 2 23.182 * * [simplify]: Extracting #4: cost 143 inf + 890 23.187 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.201 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.218 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.235 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.256 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.256 * [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))))) 23.256 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 23.256 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 23.256 * * [simplify]: iters left: 6 (13 enodes) 23.265 * * [simplify]: iters left: 5 (57 enodes) 23.285 * * [simplify]: iters left: 4 (93 enodes) 23.310 * * [simplify]: iters left: 3 (148 enodes) 23.351 * * [simplify]: iters left: 2 (271 enodes) 23.443 * * [simplify]: iters left: 1 (497 enodes) 23.681 * * [simplify]: Extracting #0: cost 1 inf + 0 23.681 * * [simplify]: Extracting #1: cost 54 inf + 0 23.682 * * [simplify]: Extracting #2: cost 165 inf + 2 23.683 * * [simplify]: Extracting #3: cost 238 inf + 220 23.685 * * [simplify]: Extracting #4: cost 231 inf + 855 23.688 * * [simplify]: Extracting #5: cost 139 inf + 14771 23.714 * * [simplify]: Extracting #6: cost 27 inf + 65033 23.739 * * [simplify]: Extracting #7: cost 0 inf + 84937 23.767 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 23.767 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 23.768 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.768 * * [simplify]: iters left: 6 (13 enodes) 23.772 * * [simplify]: iters left: 5 (57 enodes) 23.785 * * [simplify]: iters left: 4 (95 enodes) 23.809 * * [simplify]: iters left: 3 (154 enodes) 23.859 * * [simplify]: iters left: 2 (287 enodes) 23.925 * * [simplify]: Extracting #0: cost 1 inf + 0 23.925 * * [simplify]: Extracting #1: cost 30 inf + 0 23.925 * * [simplify]: Extracting #2: cost 73 inf + 0 23.926 * * [simplify]: Extracting #3: cost 136 inf + 3 23.927 * * [simplify]: Extracting #4: cost 130 inf + 1385 23.929 * * [simplify]: Extracting #5: cost 76 inf + 14535 23.935 * * [simplify]: Extracting #6: cost 5 inf + 50457 23.947 * * [simplify]: Extracting #7: cost 0 inf + 54374 23.962 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 23.962 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 23.963 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 23.963 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.963 * * [simplify]: iters left: 6 (14 enodes) 23.972 * * [simplify]: iters left: 5 (60 enodes) 23.996 * * [simplify]: iters left: 4 (98 enodes) 24.030 * * [simplify]: iters left: 3 (157 enodes) 24.085 * * [simplify]: iters left: 2 (290 enodes) 24.154 * * [simplify]: Extracting #0: cost 1 inf + 0 24.155 * * [simplify]: Extracting #1: cost 30 inf + 0 24.155 * * [simplify]: Extracting #2: cost 72 inf + 0 24.155 * * [simplify]: Extracting #3: cost 138 inf + 2 24.156 * * [simplify]: Extracting #4: cost 143 inf + 890 24.158 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.165 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.178 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.186 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.194 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.194 * [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))))) 24.195 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.195 * * [simplify]: iters left: 6 (14 enodes) 24.199 * * [simplify]: iters left: 5 (60 enodes) 24.216 * * [simplify]: iters left: 4 (98 enodes) 24.248 * * [simplify]: iters left: 3 (157 enodes) 24.301 * * [simplify]: iters left: 2 (290 enodes) 24.391 * * [simplify]: Extracting #0: cost 1 inf + 0 24.391 * * [simplify]: Extracting #1: cost 30 inf + 0 24.392 * * [simplify]: Extracting #2: cost 72 inf + 0 24.392 * * [simplify]: Extracting #3: cost 138 inf + 2 24.393 * * [simplify]: Extracting #4: cost 143 inf + 890 24.398 * * [simplify]: Extracting #5: cost 80 inf + 17431 24.412 * * [simplify]: Extracting #6: cost 8 inf + 47315 24.428 * * [simplify]: Extracting #7: cost 0 inf + 52144 24.445 * * [simplify]: Extracting #8: cost 0 inf + 51944 24.461 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.461 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 24.461 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 24.461 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 24.462 * * [simplify]: iters left: 6 (12 enodes) 24.473 * * [simplify]: iters left: 5 (52 enodes) 24.491 * * [simplify]: iters left: 4 (90 enodes) 24.522 * * [simplify]: iters left: 3 (151 enodes) 24.579 * * [simplify]: iters left: 2 (287 enodes) 24.701 * * [simplify]: Extracting #0: cost 1 inf + 0 24.701 * * [simplify]: Extracting #1: cost 31 inf + 0 24.701 * * [simplify]: Extracting #2: cost 99 inf + 2 24.702 * * [simplify]: Extracting #3: cost 141 inf + 219 24.703 * * [simplify]: Extracting #4: cost 139 inf + 807 24.706 * * [simplify]: Extracting #5: cost 85 inf + 6440 24.713 * * [simplify]: Extracting #6: cost 41 inf + 22533 24.726 * * [simplify]: Extracting #7: cost 3 inf + 47776 24.741 * * [simplify]: Extracting #8: cost 0 inf + 50387 24.756 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 24.756 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.757 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.760 * * [simplify]: iters left: 6 (13 enodes) 24.768 * * [simplify]: iters left: 5 (57 enodes) 24.781 * * [simplify]: iters left: 4 (95 enodes) 24.798 * * [simplify]: iters left: 3 (154 enodes) 24.850 * * [simplify]: iters left: 2 (287 enodes) 24.929 * * [simplify]: Extracting #0: cost 1 inf + 0 24.929 * * [simplify]: Extracting #1: cost 30 inf + 0 24.929 * * [simplify]: Extracting #2: cost 73 inf + 0 24.929 * * [simplify]: Extracting #3: cost 136 inf + 3 24.930 * * [simplify]: Extracting #4: cost 130 inf + 1385 24.933 * * [simplify]: Extracting #5: cost 76 inf + 14535 24.940 * * [simplify]: Extracting #6: cost 5 inf + 50457 24.955 * * [simplify]: Extracting #7: cost 0 inf + 54374 24.969 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.970 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.970 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 24.970 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 24.970 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 24.970 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 24.970 * [simplify]: Simplifying (cbrt (sqrt k)) 24.970 * * [simplify]: iters left: 2 (3 enodes) 24.971 * * [simplify]: iters left: 1 (9 enodes) 24.972 * * [simplify]: Extracting #0: cost 1 inf + 0 24.972 * * [simplify]: Extracting #1: cost 3 inf + 0 24.972 * * [simplify]: Extracting #2: cost 5 inf + 0 24.972 * * [simplify]: Extracting #3: cost 4 inf + 1 24.972 * * [simplify]: Extracting #4: cost 0 inf + 325 24.972 * [simplify]: Simplified to (cbrt (sqrt k)) 24.972 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 24.972 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 24.973 * [simplify]: Simplifying (sqrt (cbrt k)) 24.973 * * [simplify]: iters left: 2 (3 enodes) 24.976 * * [simplify]: iters left: 1 (9 enodes) 24.977 * * [simplify]: Extracting #0: cost 1 inf + 0 24.977 * * [simplify]: Extracting #1: cost 3 inf + 0 24.978 * * [simplify]: Extracting #2: cost 5 inf + 0 24.978 * * [simplify]: Extracting #3: cost 4 inf + 1 24.978 * * [simplify]: Extracting #4: cost 0 inf + 405 24.978 * [simplify]: Simplified to (sqrt (cbrt k)) 24.978 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 24.978 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 24.978 * [simplify]: Simplifying (sqrt (sqrt k)) 24.978 * * [simplify]: iters left: 2 (3 enodes) 24.979 * * [simplify]: iters left: 1 (9 enodes) 24.980 * * [simplify]: Extracting #0: cost 1 inf + 0 24.980 * * [simplify]: Extracting #1: cost 3 inf + 0 24.980 * * [simplify]: Extracting #2: cost 5 inf + 0 24.980 * * [simplify]: Extracting #3: cost 4 inf + 1 24.980 * * [simplify]: Extracting #4: cost 0 inf + 245 24.980 * [simplify]: Simplified to (sqrt (sqrt k)) 24.980 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.980 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 24.980 * [simplify]: Simplifying (sqrt k) 24.980 * * [simplify]: iters left: 1 (2 enodes) 24.981 * * [simplify]: Extracting #0: cost 1 inf + 0 24.981 * * [simplify]: Extracting #1: cost 3 inf + 0 24.981 * * [simplify]: Extracting #2: cost 2 inf + 1 24.981 * * [simplify]: Extracting #3: cost 0 inf + 83 24.981 * [simplify]: Simplified to (sqrt k) 24.981 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 24.981 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 24.981 * [simplify]: Simplifying (sqrt (sqrt k)) 24.981 * * [simplify]: iters left: 2 (3 enodes) 24.982 * * [simplify]: iters left: 1 (9 enodes) 24.983 * * [simplify]: Extracting #0: cost 1 inf + 0 24.983 * * [simplify]: Extracting #1: cost 3 inf + 0 24.983 * * [simplify]: Extracting #2: cost 5 inf + 0 24.983 * * [simplify]: Extracting #3: cost 4 inf + 1 24.983 * * [simplify]: Extracting #4: cost 0 inf + 245 24.983 * [simplify]: Simplified to (sqrt (sqrt k)) 24.983 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.983 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 24.983 * [simplify]: Simplifying (sqrt k) 24.983 * * [simplify]: iters left: 1 (2 enodes) 24.984 * * [simplify]: Extracting #0: cost 1 inf + 0 24.984 * * [simplify]: Extracting #1: cost 3 inf + 0 24.984 * * [simplify]: Extracting #2: cost 2 inf + 1 24.984 * * [simplify]: Extracting #3: cost 0 inf + 83 24.984 * [simplify]: Simplified to (sqrt k) 24.984 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 24.984 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 24.984 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 24.984 * * [simplify]: iters left: 5 (7 enodes) 24.987 * * [simplify]: iters left: 4 (32 enodes) 24.993 * * [simplify]: iters left: 3 (57 enodes) 25.006 * * [simplify]: iters left: 2 (88 enodes) 25.022 * * [simplify]: iters left: 1 (156 enodes) 25.073 * * [simplify]: Extracting #0: cost 1 inf + 0 25.077 * * [simplify]: Extracting #1: cost 13 inf + 0 25.077 * * [simplify]: Extracting #2: cost 49 inf + 2 25.078 * * [simplify]: Extracting #3: cost 80 inf + 6 25.079 * * [simplify]: Extracting #4: cost 58 inf + 1840 25.083 * * [simplify]: Extracting #5: cost 22 inf + 9206 25.089 * * [simplify]: Extracting #6: cost 1 inf + 20886 25.092 * * [simplify]: Extracting #7: cost 0 inf + 21301 25.095 * * [simplify]: Extracting #8: cost 0 inf + 21130 25.098 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.098 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 25.099 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 25.099 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 25.099 * * [simplify]: iters left: 6 (12 enodes) 25.103 * * [simplify]: iters left: 5 (51 enodes) 25.112 * * [simplify]: iters left: 4 (84 enodes) 25.132 * * [simplify]: iters left: 3 (125 enodes) 25.163 * * [simplify]: iters left: 2 (198 enodes) 25.223 * * [simplify]: iters left: 1 (353 enodes) 25.415 * * [simplify]: Extracting #0: cost 1 inf + 0 25.415 * * [simplify]: Extracting #1: cost 3 inf + 0 25.415 * * [simplify]: Extracting #2: cost 5 inf + 0 25.415 * * [simplify]: Extracting #3: cost 28 inf + 0 25.416 * * [simplify]: Extracting #4: cost 101 inf + 1 25.417 * * [simplify]: Extracting #5: cost 136 inf + 176 25.418 * * [simplify]: Extracting #6: cost 126 inf + 1348 25.427 * * [simplify]: Extracting #7: cost 70 inf + 12457 25.433 * * [simplify]: Extracting #8: cost 19 inf + 42176 25.443 * * [simplify]: Extracting #9: cost 0 inf + 57297 25.453 * * [simplify]: Extracting #10: cost 0 inf + 56855 25.472 * * [simplify]: Extracting #11: cost 0 inf + 56816 25.488 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 25.489 * [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)))))) 25.489 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 25.489 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 25.489 * * [simplify]: iters left: 6 (11 enodes) 25.493 * * [simplify]: iters left: 5 (48 enodes) 25.501 * * [simplify]: iters left: 4 (78 enodes) 25.514 * * [simplify]: iters left: 3 (120 enodes) 25.555 * * [simplify]: iters left: 2 (211 enodes) 25.611 * * [simplify]: iters left: 1 (380 enodes) 25.754 * * [simplify]: Extracting #0: cost 1 inf + 0 25.754 * * [simplify]: Extracting #1: cost 4 inf + 0 25.754 * * [simplify]: Extracting #2: cost 29 inf + 0 25.755 * * [simplify]: Extracting #3: cost 113 inf + 1 25.755 * * [simplify]: Extracting #4: cost 155 inf + 220 25.756 * * [simplify]: Extracting #5: cost 153 inf + 561 25.757 * * [simplify]: Extracting #6: cost 121 inf + 2833 25.760 * * [simplify]: Extracting #7: cost 68 inf + 14038 25.768 * * [simplify]: Extracting #8: cost 15 inf + 50044 25.784 * * [simplify]: Extracting #9: cost 0 inf + 59395 25.795 * * [simplify]: Extracting #10: cost 0 inf + 59194 25.805 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 25.805 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 25.805 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 25.806 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 25.806 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 25.806 * * [simplify]: iters left: 6 (11 enodes) 25.810 * * [simplify]: iters left: 5 (51 enodes) 25.823 * * [simplify]: iters left: 4 (87 enodes) 25.856 * * [simplify]: iters left: 3 (143 enodes) 25.886 * * [simplify]: iters left: 2 (259 enodes) 25.964 * * [simplify]: iters left: 1 (469 enodes) 26.176 * * [simplify]: Extracting #0: cost 1 inf + 0 26.176 * * [simplify]: Extracting #1: cost 24 inf + 0 26.177 * * [simplify]: Extracting #2: cost 110 inf + 1 26.178 * * [simplify]: Extracting #3: cost 192 inf + 178 26.180 * * [simplify]: Extracting #4: cost 178 inf + 1845 26.187 * * [simplify]: Extracting #5: cost 89 inf + 12477 26.198 * * [simplify]: Extracting #6: cost 41 inf + 28219 26.218 * * [simplify]: Extracting #7: cost 4 inf + 58625 26.240 * * [simplify]: Extracting #8: cost 0 inf + 62670 26.251 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.251 * [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))))) 26.251 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 26.251 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 26.251 * * [simplify]: iters left: 5 (8 enodes) 26.255 * * [simplify]: iters left: 4 (35 enodes) 26.263 * * [simplify]: iters left: 3 (63 enodes) 26.283 * * [simplify]: iters left: 2 (108 enodes) 26.301 * * [simplify]: iters left: 1 (162 enodes) 26.339 * * [simplify]: Extracting #0: cost 1 inf + 0 26.339 * * [simplify]: Extracting #1: cost 12 inf + 0 26.339 * * [simplify]: Extracting #2: cost 40 inf + 2 26.340 * * [simplify]: Extracting #3: cost 40 inf + 9 26.340 * * [simplify]: Extracting #4: cost 25 inf + 2233 26.342 * * [simplify]: Extracting #5: cost 10 inf + 8991 26.346 * * [simplify]: Extracting #6: cost 0 inf + 14572 26.349 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 26.349 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 26.349 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 26.350 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 26.350 * [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))))) 26.350 * * [simplify]: iters left: 6 (37 enodes) 26.372 * * [simplify]: iters left: 5 (190 enodes) 26.424 * * [simplify]: Extracting #0: cost 1 inf + 0 26.425 * * [simplify]: Extracting #1: cost 22 inf + 0 26.425 * * [simplify]: Extracting #2: cost 108 inf + 1 26.426 * * [simplify]: Extracting #3: cost 171 inf + 46 26.428 * * [simplify]: Extracting #4: cost 189 inf + 427 26.433 * * [simplify]: Extracting #5: cost 128 inf + 16032 26.453 * * [simplify]: Extracting #6: cost 29 inf + 57153 26.476 * * [simplify]: Extracting #7: cost 4 inf + 75884 26.492 * * [simplify]: Extracting #8: cost 0 inf + 78767 26.518 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 26.518 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k))) 26.518 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 26.519 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 26.519 * * [simplify]: iters left: 6 (15 enodes) 26.529 * * [simplify]: iters left: 5 (65 enodes) 26.546 * * [simplify]: iters left: 4 (123 enodes) 26.584 * * [simplify]: iters left: 3 (367 enodes) 26.832 * * [simplify]: Extracting #0: cost 1 inf + 0 26.832 * * [simplify]: Extracting #1: cost 37 inf + 0 26.833 * * [simplify]: Extracting #2: cost 216 inf + 72 26.836 * * [simplify]: Extracting #3: cost 356 inf + 1622 26.844 * * [simplify]: Extracting #4: cost 219 inf + 28945 26.861 * * [simplify]: Extracting #5: cost 21 inf + 83197 26.877 * * [simplify]: Extracting #6: cost 0 inf + 89881 26.908 * * [simplify]: Extracting #7: cost 0 inf + 89729 26.928 * * [simplify]: Extracting #8: cost 0 inf + 89726 26.951 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 26.951 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 26.951 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 26.951 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 26.951 * * [simplify]: iters left: 6 (16 enodes) 26.961 * * [simplify]: iters left: 5 (67 enodes) 26.976 * * [simplify]: iters left: 4 (134 enodes) 27.012 * * [simplify]: iters left: 3 (413 enodes) 27.216 * * [simplify]: Extracting #0: cost 1 inf + 0 27.216 * * [simplify]: Extracting #1: cost 39 inf + 0 27.217 * * [simplify]: Extracting #2: cost 241 inf + 72 27.220 * * [simplify]: Extracting #3: cost 450 inf + 903 27.225 * * [simplify]: Extracting #4: cost 376 inf + 10375 27.242 * * [simplify]: Extracting #5: cost 158 inf + 67083 27.265 * * [simplify]: Extracting #6: cost 12 inf + 118840 27.309 * * [simplify]: Extracting #7: cost 0 inf + 121984 27.353 * * [simplify]: Extracting #8: cost 0 inf + 121983 27.398 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.398 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 27.398 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 27.398 * [simplify]: Simplifying (* 2 (* n PI)) 27.399 * * [simplify]: iters left: 4 (5 enodes) 27.402 * * [simplify]: iters left: 3 (19 enodes) 27.410 * * [simplify]: iters left: 2 (27 enodes) 27.416 * * [simplify]: iters left: 1 (32 enodes) 27.421 * * [simplify]: Extracting #0: cost 1 inf + 0 27.421 * * [simplify]: Extracting #1: cost 8 inf + 0 27.421 * * [simplify]: Extracting #2: cost 7 inf + 45 27.421 * * [simplify]: Extracting #3: cost 0 inf + 421 27.421 * [simplify]: Simplified to (* (* PI n) 2) 27.421 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.421 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 27.421 * [simplify]: Simplifying (* 2 (* n PI)) 27.421 * * [simplify]: iters left: 4 (5 enodes) 27.423 * * [simplify]: iters left: 3 (19 enodes) 27.426 * * [simplify]: iters left: 2 (27 enodes) 27.430 * * [simplify]: iters left: 1 (32 enodes) 27.434 * * [simplify]: Extracting #0: cost 1 inf + 0 27.435 * * [simplify]: Extracting #1: cost 8 inf + 0 27.435 * * [simplify]: Extracting #2: cost 7 inf + 45 27.435 * * [simplify]: Extracting #3: cost 0 inf + 421 27.435 * [simplify]: Simplified to (* (* PI n) 2) 27.435 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.435 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 27.435 * [simplify]: Simplifying (* 2 (* n PI)) 27.435 * * [simplify]: iters left: 4 (5 enodes) 27.437 * * [simplify]: iters left: 3 (19 enodes) 27.440 * * [simplify]: iters left: 2 (27 enodes) 27.444 * * [simplify]: iters left: 1 (32 enodes) 27.448 * * [simplify]: Extracting #0: cost 1 inf + 0 27.448 * * [simplify]: Extracting #1: cost 8 inf + 0 27.449 * * [simplify]: Extracting #2: cost 7 inf + 45 27.449 * * [simplify]: Extracting #3: cost 0 inf + 421 27.449 * [simplify]: Simplified to (* (* PI n) 2) 27.449 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.449 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 27.449 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 27.449 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.450 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 27.450 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 27.450 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.450 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 27.450 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 27.450 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.451 * * * [progress]: adding candidates to table 29.036 * * [progress]: iteration 2 / 4 29.036 * * * [progress]: picking best candidate 29.092 * * * * [pick]: Picked # 29.093 * * * [progress]: localizing error 29.144 * * * [progress]: generating rewritten candidates 29.144 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 29.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 29.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 29.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.244 * * * [progress]: generating series expansions 29.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 29.245 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 29.245 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 29.245 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.245 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.245 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.245 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.245 * [taylor]: Taking taylor expansion of 1/2 in k 29.245 * [backup-simplify]: Simplify 1/2 into 1/2 29.245 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.245 * [taylor]: Taking taylor expansion of 1 in k 29.245 * [backup-simplify]: Simplify 1 into 1 29.245 * [taylor]: Taking taylor expansion of k in k 29.245 * [backup-simplify]: Simplify 0 into 0 29.245 * [backup-simplify]: Simplify 1 into 1 29.245 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.245 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.245 * [taylor]: Taking taylor expansion of 2 in k 29.245 * [backup-simplify]: Simplify 2 into 2 29.245 * [taylor]: Taking taylor expansion of (* n PI) in k 29.245 * [taylor]: Taking taylor expansion of n in k 29.245 * [backup-simplify]: Simplify n into n 29.245 * [taylor]: Taking taylor expansion of PI in k 29.246 * [backup-simplify]: Simplify PI into PI 29.246 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.246 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.246 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.246 * [backup-simplify]: Simplify (- 0) into 0 29.247 * [backup-simplify]: Simplify (+ 1 0) into 1 29.247 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.247 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.248 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.248 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.248 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.248 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.248 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.248 * [taylor]: Taking taylor expansion of 1/2 in n 29.248 * [backup-simplify]: Simplify 1/2 into 1/2 29.248 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.248 * [taylor]: Taking taylor expansion of 1 in n 29.248 * [backup-simplify]: Simplify 1 into 1 29.248 * [taylor]: Taking taylor expansion of k in n 29.248 * [backup-simplify]: Simplify k into k 29.248 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.248 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.248 * [taylor]: Taking taylor expansion of 2 in n 29.248 * [backup-simplify]: Simplify 2 into 2 29.248 * [taylor]: Taking taylor expansion of (* n PI) in n 29.248 * [taylor]: Taking taylor expansion of n in n 29.248 * [backup-simplify]: Simplify 0 into 0 29.248 * [backup-simplify]: Simplify 1 into 1 29.248 * [taylor]: Taking taylor expansion of PI in n 29.248 * [backup-simplify]: Simplify PI into PI 29.249 * [backup-simplify]: Simplify (* 0 PI) into 0 29.249 * [backup-simplify]: Simplify (* 2 0) into 0 29.251 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.252 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.253 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.253 * [backup-simplify]: Simplify (- k) into (- k) 29.253 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.253 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.255 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.256 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.257 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.257 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.257 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.257 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.257 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.257 * [taylor]: Taking taylor expansion of 1/2 in n 29.257 * [backup-simplify]: Simplify 1/2 into 1/2 29.257 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.257 * [taylor]: Taking taylor expansion of 1 in n 29.257 * [backup-simplify]: Simplify 1 into 1 29.257 * [taylor]: Taking taylor expansion of k in n 29.257 * [backup-simplify]: Simplify k into k 29.257 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.257 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.257 * [taylor]: Taking taylor expansion of 2 in n 29.257 * [backup-simplify]: Simplify 2 into 2 29.257 * [taylor]: Taking taylor expansion of (* n PI) in n 29.257 * [taylor]: Taking taylor expansion of n in n 29.257 * [backup-simplify]: Simplify 0 into 0 29.257 * [backup-simplify]: Simplify 1 into 1 29.257 * [taylor]: Taking taylor expansion of PI in n 29.257 * [backup-simplify]: Simplify PI into PI 29.258 * [backup-simplify]: Simplify (* 0 PI) into 0 29.258 * [backup-simplify]: Simplify (* 2 0) into 0 29.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.261 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.262 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.262 * [backup-simplify]: Simplify (- k) into (- k) 29.262 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.262 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.263 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.265 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.266 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.266 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.266 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.266 * [taylor]: Taking taylor expansion of 1/2 in k 29.266 * [backup-simplify]: Simplify 1/2 into 1/2 29.266 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.266 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.266 * [taylor]: Taking taylor expansion of 1 in k 29.266 * [backup-simplify]: Simplify 1 into 1 29.266 * [taylor]: Taking taylor expansion of k in k 29.266 * [backup-simplify]: Simplify 0 into 0 29.266 * [backup-simplify]: Simplify 1 into 1 29.266 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.266 * [taylor]: Taking taylor expansion of (log n) in k 29.266 * [taylor]: Taking taylor expansion of n in k 29.266 * [backup-simplify]: Simplify n into n 29.266 * [backup-simplify]: Simplify (log n) into (log n) 29.266 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.266 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.266 * [taylor]: Taking taylor expansion of 2 in k 29.266 * [backup-simplify]: Simplify 2 into 2 29.266 * [taylor]: Taking taylor expansion of PI in k 29.266 * [backup-simplify]: Simplify PI into PI 29.267 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.268 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.268 * [backup-simplify]: Simplify (- 0) into 0 29.269 * [backup-simplify]: Simplify (+ 1 0) into 1 29.270 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.271 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.272 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.273 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.274 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.278 * [backup-simplify]: Simplify (- 0) into 0 29.279 * [backup-simplify]: Simplify (+ 0 0) into 0 29.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.282 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.284 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.284 * [taylor]: Taking taylor expansion of 0 in k 29.284 * [backup-simplify]: Simplify 0 into 0 29.284 * [backup-simplify]: Simplify 0 into 0 29.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.288 * [backup-simplify]: Simplify (+ 0 0) into 0 29.288 * [backup-simplify]: Simplify (- 1) into -1 29.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.290 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.292 * [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))))) 29.295 * [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))))))) 29.298 * [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))))))) 29.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.304 * [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 29.305 * [backup-simplify]: Simplify (- 0) into 0 29.305 * [backup-simplify]: Simplify (+ 0 0) into 0 29.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.309 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.312 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.312 * [taylor]: Taking taylor expansion of 0 in k 29.312 * [backup-simplify]: Simplify 0 into 0 29.312 * [backup-simplify]: Simplify 0 into 0 29.312 * [backup-simplify]: Simplify 0 into 0 29.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.318 * [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 29.318 * [backup-simplify]: Simplify (+ 0 0) into 0 29.319 * [backup-simplify]: Simplify (- 0) into 0 29.319 * [backup-simplify]: Simplify (+ 0 0) into 0 29.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.328 * [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))))) 29.332 * [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))))) 29.345 * [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))))) 29.346 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 29.346 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 29.346 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.346 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.346 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.346 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.346 * [taylor]: Taking taylor expansion of 1/2 in k 29.346 * [backup-simplify]: Simplify 1/2 into 1/2 29.346 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.346 * [taylor]: Taking taylor expansion of 1 in k 29.346 * [backup-simplify]: Simplify 1 into 1 29.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.346 * [taylor]: Taking taylor expansion of k in k 29.346 * [backup-simplify]: Simplify 0 into 0 29.346 * [backup-simplify]: Simplify 1 into 1 29.346 * [backup-simplify]: Simplify (/ 1 1) into 1 29.347 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.347 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.347 * [taylor]: Taking taylor expansion of 2 in k 29.347 * [backup-simplify]: Simplify 2 into 2 29.347 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.347 * [taylor]: Taking taylor expansion of PI in k 29.347 * [backup-simplify]: Simplify PI into PI 29.347 * [taylor]: Taking taylor expansion of n in k 29.347 * [backup-simplify]: Simplify n into n 29.347 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.347 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.347 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.347 * [backup-simplify]: Simplify (- 1) into -1 29.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.348 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.348 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.348 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.348 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.349 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.349 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.349 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.349 * [taylor]: Taking taylor expansion of 1/2 in n 29.349 * [backup-simplify]: Simplify 1/2 into 1/2 29.349 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.349 * [taylor]: Taking taylor expansion of 1 in n 29.349 * [backup-simplify]: Simplify 1 into 1 29.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.349 * [taylor]: Taking taylor expansion of k in n 29.349 * [backup-simplify]: Simplify k into k 29.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.349 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.349 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.349 * [taylor]: Taking taylor expansion of 2 in n 29.349 * [backup-simplify]: Simplify 2 into 2 29.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.349 * [taylor]: Taking taylor expansion of PI in n 29.349 * [backup-simplify]: Simplify PI into PI 29.349 * [taylor]: Taking taylor expansion of n in n 29.349 * [backup-simplify]: Simplify 0 into 0 29.349 * [backup-simplify]: Simplify 1 into 1 29.350 * [backup-simplify]: Simplify (/ PI 1) into PI 29.350 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.351 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.351 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.351 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.351 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.353 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.355 * [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))))) 29.355 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.355 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.355 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.355 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.355 * [taylor]: Taking taylor expansion of 1/2 in n 29.355 * [backup-simplify]: Simplify 1/2 into 1/2 29.355 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.355 * [taylor]: Taking taylor expansion of 1 in n 29.355 * [backup-simplify]: Simplify 1 into 1 29.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.355 * [taylor]: Taking taylor expansion of k in n 29.355 * [backup-simplify]: Simplify k into k 29.355 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.355 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.355 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.355 * [taylor]: Taking taylor expansion of 2 in n 29.355 * [backup-simplify]: Simplify 2 into 2 29.355 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.355 * [taylor]: Taking taylor expansion of PI in n 29.355 * [backup-simplify]: Simplify PI into PI 29.355 * [taylor]: Taking taylor expansion of n in n 29.355 * [backup-simplify]: Simplify 0 into 0 29.355 * [backup-simplify]: Simplify 1 into 1 29.356 * [backup-simplify]: Simplify (/ PI 1) into PI 29.356 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.357 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.357 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.357 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.357 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.359 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.360 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.361 * [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))))) 29.361 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.361 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.361 * [taylor]: Taking taylor expansion of 1/2 in k 29.361 * [backup-simplify]: Simplify 1/2 into 1/2 29.361 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.361 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.361 * [taylor]: Taking taylor expansion of 1 in k 29.361 * [backup-simplify]: Simplify 1 into 1 29.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.361 * [taylor]: Taking taylor expansion of k in k 29.361 * [backup-simplify]: Simplify 0 into 0 29.361 * [backup-simplify]: Simplify 1 into 1 29.362 * [backup-simplify]: Simplify (/ 1 1) into 1 29.362 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.362 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.362 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.362 * [taylor]: Taking taylor expansion of 2 in k 29.362 * [backup-simplify]: Simplify 2 into 2 29.362 * [taylor]: Taking taylor expansion of PI in k 29.362 * [backup-simplify]: Simplify PI into PI 29.362 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.363 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.363 * [taylor]: Taking taylor expansion of (log n) in k 29.363 * [taylor]: Taking taylor expansion of n in k 29.363 * [backup-simplify]: Simplify n into n 29.363 * [backup-simplify]: Simplify (log n) into (log n) 29.363 * [backup-simplify]: Simplify (- 1) into -1 29.363 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.363 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.364 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.365 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.365 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.366 * [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))))) 29.367 * [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))))) 29.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.368 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.369 * [backup-simplify]: Simplify (- 0) into 0 29.369 * [backup-simplify]: Simplify (+ 0 0) into 0 29.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.371 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.372 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.372 * [taylor]: Taking taylor expansion of 0 in k 29.372 * [backup-simplify]: Simplify 0 into 0 29.372 * [backup-simplify]: Simplify 0 into 0 29.372 * [backup-simplify]: Simplify 0 into 0 29.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.375 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.376 * [backup-simplify]: Simplify (- 0) into 0 29.376 * [backup-simplify]: Simplify (+ 0 0) into 0 29.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.377 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.378 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.380 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.380 * [taylor]: Taking taylor expansion of 0 in k 29.380 * [backup-simplify]: Simplify 0 into 0 29.380 * [backup-simplify]: Simplify 0 into 0 29.380 * [backup-simplify]: Simplify 0 into 0 29.380 * [backup-simplify]: Simplify 0 into 0 29.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.381 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.384 * [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 29.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.384 * [backup-simplify]: Simplify (- 0) into 0 29.385 * [backup-simplify]: Simplify (+ 0 0) into 0 29.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.387 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.389 * [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 29.389 * [taylor]: Taking taylor expansion of 0 in k 29.389 * [backup-simplify]: Simplify 0 into 0 29.389 * [backup-simplify]: Simplify 0 into 0 29.390 * [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)))))) 29.390 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 29.390 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 29.390 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.390 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.390 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.390 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.390 * [taylor]: Taking taylor expansion of 1/2 in k 29.390 * [backup-simplify]: Simplify 1/2 into 1/2 29.390 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.390 * [taylor]: Taking taylor expansion of k in k 29.390 * [backup-simplify]: Simplify 0 into 0 29.390 * [backup-simplify]: Simplify 1 into 1 29.390 * [backup-simplify]: Simplify (/ 1 1) into 1 29.391 * [taylor]: Taking taylor expansion of 1 in k 29.391 * [backup-simplify]: Simplify 1 into 1 29.391 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.391 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.391 * [taylor]: Taking taylor expansion of -2 in k 29.391 * [backup-simplify]: Simplify -2 into -2 29.391 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.391 * [taylor]: Taking taylor expansion of PI in k 29.391 * [backup-simplify]: Simplify PI into PI 29.391 * [taylor]: Taking taylor expansion of n in k 29.391 * [backup-simplify]: Simplify n into n 29.391 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.391 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.391 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.391 * [backup-simplify]: Simplify (+ 1 0) into 1 29.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.391 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.391 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.392 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.392 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.392 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.392 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.392 * [taylor]: Taking taylor expansion of 1/2 in n 29.392 * [backup-simplify]: Simplify 1/2 into 1/2 29.392 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.392 * [taylor]: Taking taylor expansion of k in n 29.392 * [backup-simplify]: Simplify k into k 29.392 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.392 * [taylor]: Taking taylor expansion of 1 in n 29.392 * [backup-simplify]: Simplify 1 into 1 29.392 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.392 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.392 * [taylor]: Taking taylor expansion of -2 in n 29.392 * [backup-simplify]: Simplify -2 into -2 29.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.392 * [taylor]: Taking taylor expansion of PI in n 29.392 * [backup-simplify]: Simplify PI into PI 29.392 * [taylor]: Taking taylor expansion of n in n 29.392 * [backup-simplify]: Simplify 0 into 0 29.392 * [backup-simplify]: Simplify 1 into 1 29.392 * [backup-simplify]: Simplify (/ PI 1) into PI 29.392 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.393 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.393 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.393 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.395 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.395 * [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))))) 29.395 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.395 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.395 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.395 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.395 * [taylor]: Taking taylor expansion of 1/2 in n 29.395 * [backup-simplify]: Simplify 1/2 into 1/2 29.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.395 * [taylor]: Taking taylor expansion of k in n 29.395 * [backup-simplify]: Simplify k into k 29.395 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.396 * [taylor]: Taking taylor expansion of 1 in n 29.396 * [backup-simplify]: Simplify 1 into 1 29.396 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.396 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.396 * [taylor]: Taking taylor expansion of -2 in n 29.396 * [backup-simplify]: Simplify -2 into -2 29.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.396 * [taylor]: Taking taylor expansion of PI in n 29.396 * [backup-simplify]: Simplify PI into PI 29.396 * [taylor]: Taking taylor expansion of n in n 29.396 * [backup-simplify]: Simplify 0 into 0 29.396 * [backup-simplify]: Simplify 1 into 1 29.396 * [backup-simplify]: Simplify (/ PI 1) into PI 29.396 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.397 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.397 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.397 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.398 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.399 * [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))))) 29.399 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.399 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.399 * [taylor]: Taking taylor expansion of 1/2 in k 29.399 * [backup-simplify]: Simplify 1/2 into 1/2 29.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.399 * [taylor]: Taking taylor expansion of k in k 29.399 * [backup-simplify]: Simplify 0 into 0 29.399 * [backup-simplify]: Simplify 1 into 1 29.399 * [backup-simplify]: Simplify (/ 1 1) into 1 29.400 * [taylor]: Taking taylor expansion of 1 in k 29.400 * [backup-simplify]: Simplify 1 into 1 29.400 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.400 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.400 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.400 * [taylor]: Taking taylor expansion of -2 in k 29.400 * [backup-simplify]: Simplify -2 into -2 29.400 * [taylor]: Taking taylor expansion of PI in k 29.400 * [backup-simplify]: Simplify PI into PI 29.400 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.401 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.401 * [taylor]: Taking taylor expansion of (log n) in k 29.401 * [taylor]: Taking taylor expansion of n in k 29.401 * [backup-simplify]: Simplify n into n 29.401 * [backup-simplify]: Simplify (log n) into (log n) 29.401 * [backup-simplify]: Simplify (+ 1 0) into 1 29.401 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.402 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.402 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.403 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.404 * [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))))) 29.404 * [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))))) 29.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.405 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.406 * [backup-simplify]: Simplify (+ 0 0) into 0 29.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.408 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.408 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.409 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.409 * [taylor]: Taking taylor expansion of 0 in k 29.409 * [backup-simplify]: Simplify 0 into 0 29.409 * [backup-simplify]: Simplify 0 into 0 29.409 * [backup-simplify]: Simplify 0 into 0 29.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.411 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.413 * [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 29.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.413 * [backup-simplify]: Simplify (+ 0 0) into 0 29.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.416 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.417 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.417 * [taylor]: Taking taylor expansion of 0 in k 29.417 * [backup-simplify]: Simplify 0 into 0 29.417 * [backup-simplify]: Simplify 0 into 0 29.417 * [backup-simplify]: Simplify 0 into 0 29.417 * [backup-simplify]: Simplify 0 into 0 29.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.418 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.421 * [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 29.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.422 * [backup-simplify]: Simplify (+ 0 0) into 0 29.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 29.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.425 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 29.426 * [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 29.426 * [taylor]: Taking taylor expansion of 0 in k 29.426 * [backup-simplify]: Simplify 0 into 0 29.426 * [backup-simplify]: Simplify 0 into 0 29.427 * [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)))))) 29.427 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 29.428 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 29.428 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 29.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.428 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.428 * [taylor]: Taking taylor expansion of k in k 29.428 * [backup-simplify]: Simplify 0 into 0 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [backup-simplify]: Simplify (/ 1 1) into 1 29.429 * [backup-simplify]: Simplify (sqrt 0) into 0 29.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.430 * [taylor]: Taking taylor expansion of k in k 29.430 * [backup-simplify]: Simplify 0 into 0 29.430 * [backup-simplify]: Simplify 1 into 1 29.431 * [backup-simplify]: Simplify (/ 1 1) into 1 29.431 * [backup-simplify]: Simplify (sqrt 0) into 0 29.432 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.432 * [backup-simplify]: Simplify 0 into 0 29.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.436 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.444 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.444 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 29.444 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 29.444 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 29.444 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.444 * [taylor]: Taking taylor expansion of k in k 29.444 * [backup-simplify]: Simplify 0 into 0 29.444 * [backup-simplify]: Simplify 1 into 1 29.444 * [backup-simplify]: Simplify (sqrt 0) into 0 29.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.446 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.446 * [taylor]: Taking taylor expansion of k in k 29.446 * [backup-simplify]: Simplify 0 into 0 29.446 * [backup-simplify]: Simplify 1 into 1 29.446 * [backup-simplify]: Simplify (sqrt 0) into 0 29.448 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.448 * [backup-simplify]: Simplify 0 into 0 29.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.451 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.451 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.455 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.455 * [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)))))))) 29.455 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 29.455 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 29.455 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.455 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.455 * [taylor]: Taking taylor expansion of -1 in k 29.455 * [backup-simplify]: Simplify -1 into -1 29.455 * [taylor]: Taking taylor expansion of k in k 29.455 * [backup-simplify]: Simplify 0 into 0 29.455 * [backup-simplify]: Simplify 1 into 1 29.455 * [backup-simplify]: Simplify (/ -1 1) into -1 29.456 * [backup-simplify]: Simplify (sqrt 0) into 0 29.456 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.457 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.457 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.457 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.457 * [taylor]: Taking taylor expansion of -1 in k 29.457 * [backup-simplify]: Simplify -1 into -1 29.457 * [taylor]: Taking taylor expansion of k in k 29.457 * [backup-simplify]: Simplify 0 into 0 29.457 * [backup-simplify]: Simplify 1 into 1 29.457 * [backup-simplify]: Simplify (/ -1 1) into -1 29.457 * [backup-simplify]: Simplify (sqrt 0) into 0 29.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.458 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.461 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.462 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 29.462 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.467 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 29.467 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.468 * [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))))) 29.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 29.468 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 29.468 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.468 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.469 * [taylor]: Taking taylor expansion of 2 in n 29.469 * [backup-simplify]: Simplify 2 into 2 29.469 * [taylor]: Taking taylor expansion of (* n PI) in n 29.469 * [taylor]: Taking taylor expansion of n in n 29.469 * [backup-simplify]: Simplify 0 into 0 29.469 * [backup-simplify]: Simplify 1 into 1 29.469 * [taylor]: Taking taylor expansion of PI in n 29.469 * [backup-simplify]: Simplify PI into PI 29.469 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.469 * [taylor]: Taking taylor expansion of 2 in n 29.469 * [backup-simplify]: Simplify 2 into 2 29.469 * [taylor]: Taking taylor expansion of (* n PI) in n 29.469 * [taylor]: Taking taylor expansion of n in n 29.469 * [backup-simplify]: Simplify 0 into 0 29.469 * [backup-simplify]: Simplify 1 into 1 29.469 * [taylor]: Taking taylor expansion of PI in n 29.469 * [backup-simplify]: Simplify PI into PI 29.469 * [backup-simplify]: Simplify (* 0 PI) into 0 29.469 * [backup-simplify]: Simplify (* 2 0) into 0 29.469 * [backup-simplify]: Simplify 0 into 0 29.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.471 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.471 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.473 * [backup-simplify]: Simplify 0 into 0 29.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.474 * [backup-simplify]: Simplify 0 into 0 29.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.475 * [backup-simplify]: Simplify 0 into 0 29.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.477 * [backup-simplify]: Simplify 0 into 0 29.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.479 * [backup-simplify]: Simplify 0 into 0 29.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.481 * [backup-simplify]: Simplify 0 into 0 29.481 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.481 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 29.481 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.481 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.481 * [taylor]: Taking taylor expansion of 2 in n 29.481 * [backup-simplify]: Simplify 2 into 2 29.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.481 * [taylor]: Taking taylor expansion of PI in n 29.481 * [backup-simplify]: Simplify PI into PI 29.481 * [taylor]: Taking taylor expansion of n in n 29.481 * [backup-simplify]: Simplify 0 into 0 29.482 * [backup-simplify]: Simplify 1 into 1 29.482 * [backup-simplify]: Simplify (/ PI 1) into PI 29.482 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.482 * [taylor]: Taking taylor expansion of 2 in n 29.482 * [backup-simplify]: Simplify 2 into 2 29.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.482 * [taylor]: Taking taylor expansion of PI in n 29.482 * [backup-simplify]: Simplify PI into PI 29.482 * [taylor]: Taking taylor expansion of n in n 29.482 * [backup-simplify]: Simplify 0 into 0 29.482 * [backup-simplify]: Simplify 1 into 1 29.482 * [backup-simplify]: Simplify (/ PI 1) into PI 29.483 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.483 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.484 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.484 * [backup-simplify]: Simplify 0 into 0 29.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.485 * [backup-simplify]: Simplify 0 into 0 29.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.486 * [backup-simplify]: Simplify 0 into 0 29.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.487 * [backup-simplify]: Simplify 0 into 0 29.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.489 * [backup-simplify]: Simplify 0 into 0 29.489 * [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 29.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.491 * [backup-simplify]: Simplify 0 into 0 29.491 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.492 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 29.492 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.492 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.492 * [taylor]: Taking taylor expansion of -2 in n 29.492 * [backup-simplify]: Simplify -2 into -2 29.492 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.492 * [taylor]: Taking taylor expansion of PI in n 29.492 * [backup-simplify]: Simplify PI into PI 29.492 * [taylor]: Taking taylor expansion of n in n 29.492 * [backup-simplify]: Simplify 0 into 0 29.492 * [backup-simplify]: Simplify 1 into 1 29.492 * [backup-simplify]: Simplify (/ PI 1) into PI 29.493 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.493 * [taylor]: Taking taylor expansion of -2 in n 29.493 * [backup-simplify]: Simplify -2 into -2 29.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.493 * [taylor]: Taking taylor expansion of PI in n 29.493 * [backup-simplify]: Simplify PI into PI 29.493 * [taylor]: Taking taylor expansion of n in n 29.493 * [backup-simplify]: Simplify 0 into 0 29.493 * [backup-simplify]: Simplify 1 into 1 29.493 * [backup-simplify]: Simplify (/ PI 1) into PI 29.494 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.494 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.496 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.496 * [backup-simplify]: Simplify 0 into 0 29.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.498 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.498 * [backup-simplify]: Simplify 0 into 0 29.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.500 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.500 * [backup-simplify]: Simplify 0 into 0 29.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.503 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.503 * [backup-simplify]: Simplify 0 into 0 29.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.505 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.505 * [backup-simplify]: Simplify 0 into 0 29.506 * [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 29.508 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.508 * [backup-simplify]: Simplify 0 into 0 29.508 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.508 * * * * [progress]: [ 4 / 4 ] generating series at (2) 29.509 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 29.509 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 29.509 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.509 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.509 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.509 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.509 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.509 * [taylor]: Taking taylor expansion of 1/2 in k 29.509 * [backup-simplify]: Simplify 1/2 into 1/2 29.509 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.509 * [taylor]: Taking taylor expansion of 1 in k 29.509 * [backup-simplify]: Simplify 1 into 1 29.509 * [taylor]: Taking taylor expansion of k in k 29.509 * [backup-simplify]: Simplify 0 into 0 29.509 * [backup-simplify]: Simplify 1 into 1 29.509 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.510 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.510 * [taylor]: Taking taylor expansion of 2 in k 29.510 * [backup-simplify]: Simplify 2 into 2 29.510 * [taylor]: Taking taylor expansion of (* n PI) in k 29.510 * [taylor]: Taking taylor expansion of n in k 29.510 * [backup-simplify]: Simplify n into n 29.510 * [taylor]: Taking taylor expansion of PI in k 29.510 * [backup-simplify]: Simplify PI into PI 29.510 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.510 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.510 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.510 * [backup-simplify]: Simplify (- 0) into 0 29.511 * [backup-simplify]: Simplify (+ 1 0) into 1 29.511 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.511 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.511 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.511 * [taylor]: Taking taylor expansion of k in k 29.511 * [backup-simplify]: Simplify 0 into 0 29.511 * [backup-simplify]: Simplify 1 into 1 29.512 * [backup-simplify]: Simplify (/ 1 1) into 1 29.512 * [backup-simplify]: Simplify (sqrt 0) into 0 29.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.514 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.514 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.514 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.514 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.514 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.514 * [taylor]: Taking taylor expansion of 1/2 in n 29.514 * [backup-simplify]: Simplify 1/2 into 1/2 29.514 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.514 * [taylor]: Taking taylor expansion of 1 in n 29.514 * [backup-simplify]: Simplify 1 into 1 29.514 * [taylor]: Taking taylor expansion of k in n 29.514 * [backup-simplify]: Simplify k into k 29.514 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.514 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.514 * [taylor]: Taking taylor expansion of 2 in n 29.514 * [backup-simplify]: Simplify 2 into 2 29.514 * [taylor]: Taking taylor expansion of (* n PI) in n 29.514 * [taylor]: Taking taylor expansion of n in n 29.514 * [backup-simplify]: Simplify 0 into 0 29.514 * [backup-simplify]: Simplify 1 into 1 29.514 * [taylor]: Taking taylor expansion of PI in n 29.514 * [backup-simplify]: Simplify PI into PI 29.515 * [backup-simplify]: Simplify (* 0 PI) into 0 29.515 * [backup-simplify]: Simplify (* 2 0) into 0 29.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.518 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.519 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.519 * [backup-simplify]: Simplify (- k) into (- k) 29.519 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.519 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.521 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.522 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.523 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.523 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.523 * [taylor]: Taking taylor expansion of k in n 29.523 * [backup-simplify]: Simplify k into k 29.523 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.523 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.523 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.523 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.523 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.523 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.523 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.523 * [taylor]: Taking taylor expansion of 1/2 in n 29.523 * [backup-simplify]: Simplify 1/2 into 1/2 29.523 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.523 * [taylor]: Taking taylor expansion of 1 in n 29.523 * [backup-simplify]: Simplify 1 into 1 29.523 * [taylor]: Taking taylor expansion of k in n 29.523 * [backup-simplify]: Simplify k into k 29.524 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.524 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.524 * [taylor]: Taking taylor expansion of 2 in n 29.524 * [backup-simplify]: Simplify 2 into 2 29.524 * [taylor]: Taking taylor expansion of (* n PI) in n 29.524 * [taylor]: Taking taylor expansion of n in n 29.524 * [backup-simplify]: Simplify 0 into 0 29.524 * [backup-simplify]: Simplify 1 into 1 29.524 * [taylor]: Taking taylor expansion of PI in n 29.524 * [backup-simplify]: Simplify PI into PI 29.524 * [backup-simplify]: Simplify (* 0 PI) into 0 29.525 * [backup-simplify]: Simplify (* 2 0) into 0 29.526 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.528 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.529 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.529 * [backup-simplify]: Simplify (- k) into (- k) 29.529 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.529 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.530 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.531 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.532 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.532 * [taylor]: Taking taylor expansion of k in n 29.532 * [backup-simplify]: Simplify k into k 29.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.532 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.534 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 29.534 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 29.534 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.534 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.534 * [taylor]: Taking taylor expansion of 1/2 in k 29.534 * [backup-simplify]: Simplify 1/2 into 1/2 29.534 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.534 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.534 * [taylor]: Taking taylor expansion of 1 in k 29.534 * [backup-simplify]: Simplify 1 into 1 29.534 * [taylor]: Taking taylor expansion of k in k 29.534 * [backup-simplify]: Simplify 0 into 0 29.534 * [backup-simplify]: Simplify 1 into 1 29.534 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.534 * [taylor]: Taking taylor expansion of (log n) in k 29.534 * [taylor]: Taking taylor expansion of n in k 29.534 * [backup-simplify]: Simplify n into n 29.534 * [backup-simplify]: Simplify (log n) into (log n) 29.534 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.534 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.534 * [taylor]: Taking taylor expansion of 2 in k 29.535 * [backup-simplify]: Simplify 2 into 2 29.535 * [taylor]: Taking taylor expansion of PI in k 29.535 * [backup-simplify]: Simplify PI into PI 29.535 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.536 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.536 * [backup-simplify]: Simplify (- 0) into 0 29.537 * [backup-simplify]: Simplify (+ 1 0) into 1 29.538 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.539 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.540 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.541 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.541 * [taylor]: Taking taylor expansion of k in k 29.541 * [backup-simplify]: Simplify 0 into 0 29.541 * [backup-simplify]: Simplify 1 into 1 29.541 * [backup-simplify]: Simplify (/ 1 1) into 1 29.542 * [backup-simplify]: Simplify (sqrt 0) into 0 29.543 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.544 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 29.544 * [backup-simplify]: Simplify 0 into 0 29.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.548 * [backup-simplify]: Simplify (- 0) into 0 29.548 * [backup-simplify]: Simplify (+ 0 0) into 0 29.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.550 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.551 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.557 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.558 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 29.558 * [taylor]: Taking taylor expansion of 0 in k 29.558 * [backup-simplify]: Simplify 0 into 0 29.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.560 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.562 * [backup-simplify]: Simplify (+ 0 0) into 0 29.563 * [backup-simplify]: Simplify (- 1) into -1 29.563 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.565 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.567 * [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))))) 29.569 * [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))))))) 29.573 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.574 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.578 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.581 * [backup-simplify]: Simplify (- 0) into 0 29.582 * [backup-simplify]: Simplify (+ 0 0) into 0 29.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.584 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.586 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.588 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.590 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 29.590 * [taylor]: Taking taylor expansion of 0 in k 29.590 * [backup-simplify]: Simplify 0 into 0 29.590 * [backup-simplify]: Simplify 0 into 0 29.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.594 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.595 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.596 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.599 * [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 29.600 * [backup-simplify]: Simplify (+ 0 0) into 0 29.600 * [backup-simplify]: Simplify (- 0) into 0 29.601 * [backup-simplify]: Simplify (+ 0 0) into 0 29.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.609 * [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))))) 29.618 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.622 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 29.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.626 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.631 * [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 29.632 * [backup-simplify]: Simplify (- 0) into 0 29.632 * [backup-simplify]: Simplify (+ 0 0) into 0 29.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 29.635 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.636 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.639 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.641 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 29.641 * [taylor]: Taking taylor expansion of 0 in k 29.641 * [backup-simplify]: Simplify 0 into 0 29.641 * [backup-simplify]: Simplify 0 into 0 29.641 * [backup-simplify]: Simplify 0 into 0 29.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.649 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 29.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.656 * [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 29.656 * [backup-simplify]: Simplify (+ 0 0) into 0 29.657 * [backup-simplify]: Simplify (- 0) into 0 29.657 * [backup-simplify]: Simplify (+ 0 0) into 0 29.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.670 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.686 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.700 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.718 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 29.719 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 29.719 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 29.719 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.719 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.719 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.719 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.719 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.719 * [taylor]: Taking taylor expansion of 1/2 in k 29.719 * [backup-simplify]: Simplify 1/2 into 1/2 29.719 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.719 * [taylor]: Taking taylor expansion of 1 in k 29.719 * [backup-simplify]: Simplify 1 into 1 29.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.719 * [taylor]: Taking taylor expansion of k in k 29.719 * [backup-simplify]: Simplify 0 into 0 29.719 * [backup-simplify]: Simplify 1 into 1 29.719 * [backup-simplify]: Simplify (/ 1 1) into 1 29.719 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.719 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.719 * [taylor]: Taking taylor expansion of 2 in k 29.720 * [backup-simplify]: Simplify 2 into 2 29.720 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.720 * [taylor]: Taking taylor expansion of PI in k 29.720 * [backup-simplify]: Simplify PI into PI 29.720 * [taylor]: Taking taylor expansion of n in k 29.720 * [backup-simplify]: Simplify n into n 29.720 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.720 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.720 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.720 * [backup-simplify]: Simplify (- 1) into -1 29.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.721 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.721 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.721 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.721 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.722 * [taylor]: Taking taylor expansion of k in k 29.722 * [backup-simplify]: Simplify 0 into 0 29.722 * [backup-simplify]: Simplify 1 into 1 29.722 * [backup-simplify]: Simplify (sqrt 0) into 0 29.724 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.724 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.724 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.724 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.724 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.724 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.724 * [taylor]: Taking taylor expansion of 1/2 in n 29.724 * [backup-simplify]: Simplify 1/2 into 1/2 29.724 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.724 * [taylor]: Taking taylor expansion of 1 in n 29.724 * [backup-simplify]: Simplify 1 into 1 29.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.724 * [taylor]: Taking taylor expansion of k in n 29.724 * [backup-simplify]: Simplify k into k 29.724 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.724 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.724 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.724 * [taylor]: Taking taylor expansion of 2 in n 29.724 * [backup-simplify]: Simplify 2 into 2 29.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.724 * [taylor]: Taking taylor expansion of PI in n 29.724 * [backup-simplify]: Simplify PI into PI 29.724 * [taylor]: Taking taylor expansion of n in n 29.724 * [backup-simplify]: Simplify 0 into 0 29.725 * [backup-simplify]: Simplify 1 into 1 29.725 * [backup-simplify]: Simplify (/ PI 1) into PI 29.725 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.726 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.727 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.727 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.727 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.729 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.730 * [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))))) 29.730 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.730 * [taylor]: Taking taylor expansion of k in n 29.730 * [backup-simplify]: Simplify k into k 29.730 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.730 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.730 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.730 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.730 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.730 * [taylor]: Taking taylor expansion of 1/2 in n 29.730 * [backup-simplify]: Simplify 1/2 into 1/2 29.730 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.730 * [taylor]: Taking taylor expansion of 1 in n 29.730 * [backup-simplify]: Simplify 1 into 1 29.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.730 * [taylor]: Taking taylor expansion of k in n 29.731 * [backup-simplify]: Simplify k into k 29.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.731 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.731 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.731 * [taylor]: Taking taylor expansion of 2 in n 29.731 * [backup-simplify]: Simplify 2 into 2 29.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.731 * [taylor]: Taking taylor expansion of PI in n 29.731 * [backup-simplify]: Simplify PI into PI 29.731 * [taylor]: Taking taylor expansion of n in n 29.731 * [backup-simplify]: Simplify 0 into 0 29.731 * [backup-simplify]: Simplify 1 into 1 29.731 * [backup-simplify]: Simplify (/ PI 1) into PI 29.731 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.732 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.732 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.732 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.732 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.734 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.734 * [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))))) 29.734 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.735 * [taylor]: Taking taylor expansion of k in n 29.735 * [backup-simplify]: Simplify k into k 29.735 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.735 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 29.735 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 29.735 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.736 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.736 * [taylor]: Taking taylor expansion of 1/2 in k 29.736 * [backup-simplify]: Simplify 1/2 into 1/2 29.736 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.736 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.736 * [taylor]: Taking taylor expansion of 1 in k 29.736 * [backup-simplify]: Simplify 1 into 1 29.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.736 * [taylor]: Taking taylor expansion of k in k 29.736 * [backup-simplify]: Simplify 0 into 0 29.736 * [backup-simplify]: Simplify 1 into 1 29.736 * [backup-simplify]: Simplify (/ 1 1) into 1 29.736 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.736 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.736 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.736 * [taylor]: Taking taylor expansion of 2 in k 29.736 * [backup-simplify]: Simplify 2 into 2 29.736 * [taylor]: Taking taylor expansion of PI in k 29.736 * [backup-simplify]: Simplify PI into PI 29.736 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.737 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.737 * [taylor]: Taking taylor expansion of (log n) in k 29.737 * [taylor]: Taking taylor expansion of n in k 29.737 * [backup-simplify]: Simplify n into n 29.737 * [backup-simplify]: Simplify (log n) into (log n) 29.737 * [backup-simplify]: Simplify (- 1) into -1 29.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.738 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.738 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.739 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.739 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.740 * [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))))) 29.740 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.740 * [taylor]: Taking taylor expansion of k in k 29.740 * [backup-simplify]: Simplify 0 into 0 29.740 * [backup-simplify]: Simplify 1 into 1 29.740 * [backup-simplify]: Simplify (sqrt 0) into 0 29.741 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.742 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 29.742 * [backup-simplify]: Simplify 0 into 0 29.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.743 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.745 * [backup-simplify]: Simplify (- 0) into 0 29.745 * [backup-simplify]: Simplify (+ 0 0) into 0 29.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.746 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.747 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.748 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.749 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 29.749 * [taylor]: Taking taylor expansion of 0 in k 29.749 * [backup-simplify]: Simplify 0 into 0 29.749 * [backup-simplify]: Simplify 0 into 0 29.750 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.750 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.754 * [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 29.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.754 * [backup-simplify]: Simplify (- 0) into 0 29.754 * [backup-simplify]: Simplify (+ 0 0) into 0 29.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.757 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.758 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.760 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 29.760 * [taylor]: Taking taylor expansion of 0 in k 29.760 * [backup-simplify]: Simplify 0 into 0 29.760 * [backup-simplify]: Simplify 0 into 0 29.760 * [backup-simplify]: Simplify 0 into 0 29.763 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.764 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.766 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 29.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.775 * [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 29.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.776 * [backup-simplify]: Simplify (- 0) into 0 29.776 * [backup-simplify]: Simplify (+ 0 0) into 0 29.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.781 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.784 * [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 29.786 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 29.786 * [taylor]: Taking taylor expansion of 0 in k 29.786 * [backup-simplify]: Simplify 0 into 0 29.786 * [backup-simplify]: Simplify 0 into 0 29.786 * [backup-simplify]: Simplify 0 into 0 29.786 * [backup-simplify]: Simplify 0 into 0 29.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.792 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.793 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.797 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 29.798 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 29.798 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 29.798 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.798 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.798 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.798 * [taylor]: Taking taylor expansion of 1/2 in k 29.798 * [backup-simplify]: Simplify 1/2 into 1/2 29.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.798 * [taylor]: Taking taylor expansion of k in k 29.798 * [backup-simplify]: Simplify 0 into 0 29.798 * [backup-simplify]: Simplify 1 into 1 29.799 * [backup-simplify]: Simplify (/ 1 1) into 1 29.799 * [taylor]: Taking taylor expansion of 1 in k 29.799 * [backup-simplify]: Simplify 1 into 1 29.799 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.799 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.799 * [taylor]: Taking taylor expansion of -2 in k 29.799 * [backup-simplify]: Simplify -2 into -2 29.799 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.799 * [taylor]: Taking taylor expansion of PI in k 29.799 * [backup-simplify]: Simplify PI into PI 29.799 * [taylor]: Taking taylor expansion of n in k 29.799 * [backup-simplify]: Simplify n into n 29.799 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.799 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.799 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.800 * [backup-simplify]: Simplify (+ 1 0) into 1 29.800 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.800 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.800 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.800 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.800 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.800 * [taylor]: Taking taylor expansion of -1 in k 29.801 * [backup-simplify]: Simplify -1 into -1 29.801 * [taylor]: Taking taylor expansion of k in k 29.801 * [backup-simplify]: Simplify 0 into 0 29.801 * [backup-simplify]: Simplify 1 into 1 29.801 * [backup-simplify]: Simplify (/ -1 1) into -1 29.801 * [backup-simplify]: Simplify (sqrt 0) into 0 29.803 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.803 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 29.803 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.803 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.803 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.803 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.803 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.803 * [taylor]: Taking taylor expansion of 1/2 in n 29.803 * [backup-simplify]: Simplify 1/2 into 1/2 29.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.803 * [taylor]: Taking taylor expansion of k in n 29.803 * [backup-simplify]: Simplify k into k 29.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.803 * [taylor]: Taking taylor expansion of 1 in n 29.804 * [backup-simplify]: Simplify 1 into 1 29.804 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.804 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) 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 (/ PI n) in n 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 n in n 29.804 * [backup-simplify]: Simplify 0 into 0 29.804 * [backup-simplify]: Simplify 1 into 1 29.804 * [backup-simplify]: Simplify (/ PI 1) into PI 29.805 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.806 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.806 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.806 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.808 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.809 * [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))))) 29.810 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.810 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.810 * [taylor]: Taking taylor expansion of -1 in n 29.810 * [backup-simplify]: Simplify -1 into -1 29.810 * [taylor]: Taking taylor expansion of k in n 29.810 * [backup-simplify]: Simplify k into k 29.810 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.810 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.810 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.811 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.811 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.811 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.811 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.811 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.811 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.811 * [taylor]: Taking taylor expansion of 1/2 in n 29.811 * [backup-simplify]: Simplify 1/2 into 1/2 29.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.812 * [taylor]: Taking taylor expansion of k in n 29.812 * [backup-simplify]: Simplify k into k 29.812 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.812 * [taylor]: Taking taylor expansion of 1 in n 29.812 * [backup-simplify]: Simplify 1 into 1 29.812 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.812 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.812 * [taylor]: Taking taylor expansion of -2 in n 29.812 * [backup-simplify]: Simplify -2 into -2 29.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.812 * [taylor]: Taking taylor expansion of PI in n 29.812 * [backup-simplify]: Simplify PI into PI 29.812 * [taylor]: Taking taylor expansion of n in n 29.812 * [backup-simplify]: Simplify 0 into 0 29.812 * [backup-simplify]: Simplify 1 into 1 29.812 * [backup-simplify]: Simplify (/ PI 1) into PI 29.813 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.817 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.820 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.821 * [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))))) 29.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.821 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.821 * [taylor]: Taking taylor expansion of -1 in n 29.821 * [backup-simplify]: Simplify -1 into -1 29.821 * [taylor]: Taking taylor expansion of k in n 29.821 * [backup-simplify]: Simplify k into k 29.821 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.821 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.821 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.823 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.823 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 29.823 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.823 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.823 * [taylor]: Taking taylor expansion of 1/2 in k 29.823 * [backup-simplify]: Simplify 1/2 into 1/2 29.823 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.823 * [taylor]: Taking taylor expansion of k in k 29.823 * [backup-simplify]: Simplify 0 into 0 29.823 * [backup-simplify]: Simplify 1 into 1 29.824 * [backup-simplify]: Simplify (/ 1 1) into 1 29.824 * [taylor]: Taking taylor expansion of 1 in k 29.824 * [backup-simplify]: Simplify 1 into 1 29.824 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.824 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.824 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.824 * [taylor]: Taking taylor expansion of -2 in k 29.824 * [backup-simplify]: Simplify -2 into -2 29.824 * [taylor]: Taking taylor expansion of PI in k 29.824 * [backup-simplify]: Simplify PI into PI 29.824 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.825 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.825 * [taylor]: Taking taylor expansion of (log n) in k 29.825 * [taylor]: Taking taylor expansion of n in k 29.825 * [backup-simplify]: Simplify n into n 29.826 * [backup-simplify]: Simplify (log n) into (log n) 29.826 * [backup-simplify]: Simplify (+ 1 0) into 1 29.826 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.827 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.828 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.829 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.830 * [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))))) 29.830 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.830 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.831 * [taylor]: Taking taylor expansion of -1 in k 29.831 * [backup-simplify]: Simplify -1 into -1 29.831 * [taylor]: Taking taylor expansion of k in k 29.831 * [backup-simplify]: Simplify 0 into 0 29.831 * [backup-simplify]: Simplify 1 into 1 29.831 * [backup-simplify]: Simplify (/ -1 1) into -1 29.831 * [backup-simplify]: Simplify (sqrt 0) into 0 29.833 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.834 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.835 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.837 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.840 * [backup-simplify]: Simplify (+ 0 0) into 0 29.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.843 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.846 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 29.846 * [taylor]: Taking taylor expansion of 0 in k 29.846 * [backup-simplify]: Simplify 0 into 0 29.846 * [backup-simplify]: Simplify 0 into 0 29.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.850 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.852 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.853 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.855 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.859 * [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 29.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.859 * [backup-simplify]: Simplify (+ 0 0) into 0 29.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.863 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.866 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.866 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.868 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 29.868 * [taylor]: Taking taylor expansion of 0 in k 29.868 * [backup-simplify]: Simplify 0 into 0 29.868 * [backup-simplify]: Simplify 0 into 0 29.868 * [backup-simplify]: Simplify 0 into 0 29.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.877 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.878 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.882 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 29.882 * * * [progress]: simplifying candidates 29.882 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 29.882 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 29.882 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 29.883 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 29.883 * * [simplify]: iters left: 6 (13 enodes) 29.891 * * [simplify]: iters left: 5 (54 enodes) 29.909 * * [simplify]: iters left: 4 (97 enodes) 29.939 * * [simplify]: iters left: 3 (250 enodes) 30.079 * * [simplify]: Extracting #0: cost 1 inf + 0 30.079 * * [simplify]: Extracting #1: cost 34 inf + 0 30.080 * * [simplify]: Extracting #2: cost 100 inf + 73 30.082 * * [simplify]: Extracting #3: cost 126 inf + 1867 30.088 * * [simplify]: Extracting #4: cost 46 inf + 20363 30.100 * * [simplify]: Extracting #5: cost 5 inf + 31901 30.114 * * [simplify]: Extracting #6: cost 0 inf + 33789 30.128 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 30.128 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k)))) 30.128 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 30.129 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 30.129 * * [simplify]: iters left: 6 (12 enodes) 30.136 * * [simplify]: iters left: 5 (52 enodes) 30.153 * * [simplify]: iters left: 4 (90 enodes) 30.188 * * [simplify]: iters left: 3 (207 enodes) 30.289 * * [simplify]: Extracting #0: cost 1 inf + 0 30.289 * * [simplify]: Extracting #1: cost 29 inf + 0 30.290 * * [simplify]: Extracting #2: cost 88 inf + 73 30.291 * * [simplify]: Extracting #3: cost 117 inf + 443 30.293 * * [simplify]: Extracting #4: cost 77 inf + 5789 30.299 * * [simplify]: Extracting #5: cost 28 inf + 17508 30.307 * * [simplify]: Extracting #6: cost 0 inf + 26056 30.313 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 30.313 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k)))) 30.313 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 30.313 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 30.314 * * [simplify]: iters left: 6 (11 enodes) 30.321 * * [simplify]: iters left: 5 (51 enodes) 30.339 * * [simplify]: iters left: 4 (97 enodes) 30.362 * * [simplify]: iters left: 3 (201 enodes) 30.448 * * [simplify]: Extracting #0: cost 1 inf + 0 30.448 * * [simplify]: Extracting #1: cost 31 inf + 0 30.449 * * [simplify]: Extracting #2: cost 94 inf + 2 30.450 * * [simplify]: Extracting #3: cost 127 inf + 355 30.453 * * [simplify]: Extracting #4: cost 75 inf + 7402 30.459 * * [simplify]: Extracting #5: cost 31 inf + 16283 30.468 * * [simplify]: Extracting #6: cost 3 inf + 23308 30.479 * * [simplify]: Extracting #7: cost 0 inf + 24140 30.489 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 30.490 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 30.490 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 30.490 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 30.490 * [simplify]: Simplifying (* n (* 2 PI)) 30.490 * * [simplify]: iters left: 4 (5 enodes) 30.493 * * [simplify]: iters left: 3 (19 enodes) 30.499 * * [simplify]: iters left: 2 (27 enodes) 30.507 * * [simplify]: iters left: 1 (32 enodes) 30.515 * * [simplify]: Extracting #0: cost 1 inf + 0 30.515 * * [simplify]: Extracting #1: cost 8 inf + 0 30.515 * * [simplify]: Extracting #2: cost 7 inf + 45 30.515 * * [simplify]: Extracting #3: cost 0 inf + 421 30.516 * [simplify]: Simplified to (* (* PI 2) n) 30.516 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.516 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 30.516 * [simplify]: Simplifying (* n (* 2 PI)) 30.516 * * [simplify]: iters left: 4 (5 enodes) 30.519 * * [simplify]: iters left: 3 (19 enodes) 30.525 * * [simplify]: iters left: 2 (27 enodes) 30.533 * * [simplify]: iters left: 1 (32 enodes) 30.540 * * [simplify]: Extracting #0: cost 1 inf + 0 30.540 * * [simplify]: Extracting #1: cost 8 inf + 0 30.540 * * [simplify]: Extracting #2: cost 7 inf + 45 30.540 * * [simplify]: Extracting #3: cost 0 inf + 421 30.540 * [simplify]: Simplified to (* (* PI 2) n) 30.540 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.541 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 30.541 * [simplify]: Simplifying (* n (* 2 PI)) 30.541 * * [simplify]: iters left: 4 (5 enodes) 30.542 * * [simplify]: iters left: 3 (19 enodes) 30.546 * * [simplify]: iters left: 2 (27 enodes) 30.550 * * [simplify]: iters left: 1 (32 enodes) 30.554 * * [simplify]: Extracting #0: cost 1 inf + 0 30.554 * * [simplify]: Extracting #1: cost 8 inf + 0 30.554 * * [simplify]: Extracting #2: cost 7 inf + 45 30.554 * * [simplify]: Extracting #3: cost 0 inf + 421 30.554 * [simplify]: Simplified to (* (* PI 2) n) 30.554 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.554 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 30.554 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 30.554 * * [simplify]: iters left: 5 (8 enodes) 30.559 * * [simplify]: iters left: 4 (31 enodes) 30.564 * * [simplify]: iters left: 3 (51 enodes) 30.573 * * [simplify]: iters left: 2 (85 enodes) 30.587 * * [simplify]: iters left: 1 (152 enodes) 30.642 * * [simplify]: Extracting #0: cost 1 inf + 0 30.642 * * [simplify]: Extracting #1: cost 13 inf + 0 30.642 * * [simplify]: Extracting #2: cost 59 inf + 1 30.643 * * [simplify]: Extracting #3: cost 76 inf + 9 30.644 * * [simplify]: Extracting #4: cost 41 inf + 3303 30.647 * * [simplify]: Extracting #5: cost 16 inf + 10676 30.652 * * [simplify]: Extracting #6: cost 0 inf + 21028 30.658 * * [simplify]: Extracting #7: cost 0 inf + 20456 30.663 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 30.663 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 30.663 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 30.664 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 30.664 * * [simplify]: iters left: 5 (6 enodes) 30.668 * * [simplify]: iters left: 4 (26 enodes) 30.680 * * [simplify]: iters left: 3 (35 enodes) 30.690 * * [simplify]: Extracting #0: cost 1 inf + 0 30.690 * * [simplify]: Extracting #1: cost 3 inf + 0 30.691 * * [simplify]: Extracting #2: cost 8 inf + 0 30.691 * * [simplify]: Extracting #3: cost 11 inf + 2 30.691 * * [simplify]: Extracting #4: cost 8 inf + 87 30.691 * * [simplify]: Extracting #5: cost 2 inf + 500 30.691 * * [simplify]: Extracting #6: cost 0 inf + 746 30.692 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 30.692 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.692 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 30.692 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 30.692 * * [simplify]: iters left: 5 (6 enodes) 30.696 * * [simplify]: iters left: 4 (26 enodes) 30.705 * * [simplify]: iters left: 3 (35 enodes) 30.716 * * [simplify]: Extracting #0: cost 1 inf + 0 30.716 * * [simplify]: Extracting #1: cost 3 inf + 0 30.716 * * [simplify]: Extracting #2: cost 8 inf + 0 30.716 * * [simplify]: Extracting #3: cost 11 inf + 2 30.716 * * [simplify]: Extracting #4: cost 8 inf + 87 30.717 * * [simplify]: Extracting #5: cost 2 inf + 460 30.717 * * [simplify]: Extracting #6: cost 0 inf + 666 30.717 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 30.717 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.717 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 30.718 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 30.718 * * [simplify]: iters left: 5 (7 enodes) 30.723 * * [simplify]: iters left: 4 (25 enodes) 30.732 * * [simplify]: iters left: 3 (30 enodes) 30.742 * * [simplify]: Extracting #0: cost 1 inf + 0 30.742 * * [simplify]: Extracting #1: cost 4 inf + 0 30.742 * * [simplify]: Extracting #2: cost 8 inf + 0 30.742 * * [simplify]: Extracting #3: cost 10 inf + 82 30.742 * * [simplify]: Extracting #4: cost 7 inf + 206 30.742 * * [simplify]: Extracting #5: cost 2 inf + 575 30.742 * * [simplify]: Extracting #6: cost 1 inf + 818 30.743 * * [simplify]: Extracting #7: cost 0 inf + 1061 30.743 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 30.743 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.743 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 30.743 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 30.743 * * [simplify]: iters left: 5 (7 enodes) 30.745 * * [simplify]: iters left: 4 (25 enodes) 30.750 * * [simplify]: iters left: 3 (30 enodes) 30.755 * * [simplify]: Extracting #0: cost 1 inf + 0 30.755 * * [simplify]: Extracting #1: cost 4 inf + 0 30.755 * * [simplify]: Extracting #2: cost 8 inf + 0 30.755 * * [simplify]: Extracting #3: cost 10 inf + 42 30.755 * * [simplify]: Extracting #4: cost 7 inf + 126 30.755 * * [simplify]: Extracting #5: cost 2 inf + 495 30.755 * * [simplify]: Extracting #6: cost 1 inf + 698 30.755 * * [simplify]: Extracting #7: cost 0 inf + 901 30.755 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 30.755 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.755 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 30.756 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 30.756 * * [simplify]: iters left: 5 (6 enodes) 30.758 * * [simplify]: iters left: 4 (22 enodes) 30.762 * * [simplify]: iters left: 3 (27 enodes) 30.766 * * [simplify]: Extracting #0: cost 1 inf + 0 30.766 * * [simplify]: Extracting #1: cost 4 inf + 0 30.766 * * [simplify]: Extracting #2: cost 5 inf + 1 30.766 * * [simplify]: Extracting #3: cost 9 inf + 1 30.766 * * [simplify]: Extracting #4: cost 8 inf + 3 30.766 * * [simplify]: Extracting #5: cost 4 inf + 169 30.766 * * [simplify]: Extracting #6: cost 1 inf + 576 30.766 * * [simplify]: Extracting #7: cost 0 inf + 739 30.767 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 30.767 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 30.767 * * * * [progress]: [ 16 / 197 ] simplifiying candidate # 30.767 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 30.767 * * [simplify]: iters left: 5 (7 enodes) 30.769 * * [simplify]: iters left: 4 (25 enodes) 30.777 * * [simplify]: iters left: 3 (30 enodes) 30.787 * * [simplify]: Extracting #0: cost 1 inf + 0 30.787 * * [simplify]: Extracting #1: cost 4 inf + 0 30.787 * * [simplify]: Extracting #2: cost 8 inf + 0 30.787 * * [simplify]: Extracting #3: cost 10 inf + 82 30.788 * * [simplify]: Extracting #4: cost 7 inf + 206 30.788 * * [simplify]: Extracting #5: cost 2 inf + 495 30.788 * * [simplify]: Extracting #6: cost 1 inf + 698 30.788 * * [simplify]: Extracting #7: cost 0 inf + 901 30.789 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 30.789 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.789 * * * * [progress]: [ 17 / 197 ] simplifiying candidate # 30.789 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 30.789 * * [simplify]: iters left: 5 (7 enodes) 30.794 * * [simplify]: iters left: 4 (25 enodes) 30.802 * * [simplify]: iters left: 3 (30 enodes) 30.815 * * [simplify]: Extracting #0: cost 1 inf + 0 30.815 * * [simplify]: Extracting #1: cost 4 inf + 0 30.815 * * [simplify]: Extracting #2: cost 8 inf + 0 30.815 * * [simplify]: Extracting #3: cost 10 inf + 42 30.815 * * [simplify]: Extracting #4: cost 7 inf + 126 30.815 * * [simplify]: Extracting #5: cost 2 inf + 415 30.815 * * [simplify]: Extracting #6: cost 1 inf + 578 30.816 * * [simplify]: Extracting #7: cost 0 inf + 741 30.816 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 30.816 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.816 * * * * [progress]: [ 18 / 197 ] simplifiying candidate # 30.817 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 30.817 * * [simplify]: iters left: 5 (6 enodes) 30.820 * * [simplify]: iters left: 4 (22 enodes) 30.828 * * [simplify]: iters left: 3 (27 enodes) 30.836 * * [simplify]: Extracting #0: cost 1 inf + 0 30.836 * * [simplify]: Extracting #1: cost 4 inf + 0 30.836 * * [simplify]: Extracting #2: cost 5 inf + 1 30.836 * * [simplify]: Extracting #3: cost 9 inf + 1 30.836 * * [simplify]: Extracting #4: cost 8 inf + 3 30.836 * * [simplify]: Extracting #5: cost 4 inf + 169 30.837 * * [simplify]: Extracting #6: cost 1 inf + 456 30.837 * * [simplify]: Extracting #7: cost 0 inf + 579 30.837 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 30.837 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 30.837 * * * * [progress]: [ 19 / 197 ] simplifiying candidate # 30.838 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 30.838 * * [simplify]: iters left: 4 (6 enodes) 30.842 * * [simplify]: iters left: 3 (25 enodes) 30.851 * * [simplify]: iters left: 2 (36 enodes) 30.859 * * [simplify]: iters left: 1 (40 enodes) 30.864 * * [simplify]: Extracting #0: cost 1 inf + 0 30.865 * * [simplify]: Extracting #1: cost 7 inf + 0 30.865 * * [simplify]: Extracting #2: cost 16 inf + 0 30.865 * * [simplify]: Extracting #3: cost 13 inf + 44 30.865 * * [simplify]: Extracting #4: cost 3 inf + 1103 30.865 * * [simplify]: Extracting #5: cost 0 inf + 1469 30.865 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 30.865 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 30.865 * * * * [progress]: [ 20 / 197 ] simplifiying candidate # 30.866 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 30.866 * * [simplify]: iters left: 4 (6 enodes) 30.868 * * [simplify]: iters left: 3 (25 enodes) 30.872 * * [simplify]: iters left: 2 (36 enodes) 30.878 * * [simplify]: iters left: 1 (40 enodes) 30.890 * * [simplify]: Extracting #0: cost 1 inf + 0 30.890 * * [simplify]: Extracting #1: cost 7 inf + 0 30.890 * * [simplify]: Extracting #2: cost 16 inf + 0 30.891 * * [simplify]: Extracting #3: cost 13 inf + 44 30.891 * * [simplify]: Extracting #4: cost 3 inf + 823 30.891 * * [simplify]: Extracting #5: cost 0 inf + 1069 30.892 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 30.892 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 30.892 * * * * [progress]: [ 21 / 197 ] simplifiying candidate # 30.892 * [simplify]: Simplifying (/ (- 1 k) 2) 30.893 * * [simplify]: iters left: 4 (5 enodes) 30.897 * * [simplify]: iters left: 3 (23 enodes) 30.904 * * [simplify]: iters left: 2 (32 enodes) 30.914 * * [simplify]: Extracting #0: cost 1 inf + 0 30.914 * * [simplify]: Extracting #1: cost 6 inf + 0 30.914 * * [simplify]: Extracting #2: cost 9 inf + 2 30.914 * * [simplify]: Extracting #3: cost 6 inf + 87 30.914 * * [simplify]: Extracting #4: cost 0 inf + 420 30.915 * [simplify]: Simplified to (/ (- 1 k) 2) 30.915 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 30.915 * * * * [progress]: [ 22 / 197 ] simplifiying candidate # 30.915 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 30.915 * * [simplify]: iters left: 5 (8 enodes) 30.920 * * [simplify]: iters left: 4 (31 enodes) 30.930 * * [simplify]: iters left: 3 (45 enodes) 30.939 * * [simplify]: iters left: 2 (51 enodes) 30.947 * * [simplify]: iters left: 1 (52 enodes) 30.954 * * [simplify]: Extracting #0: cost 1 inf + 0 30.954 * * [simplify]: Extracting #1: cost 8 inf + 0 30.954 * * [simplify]: Extracting #2: cost 18 inf + 0 30.954 * * [simplify]: Extracting #3: cost 19 inf + 2 30.955 * * [simplify]: Extracting #4: cost 9 inf + 977 30.955 * * [simplify]: Extracting #5: cost 2 inf + 1790 30.955 * * [simplify]: Extracting #6: cost 0 inf + 2195 30.956 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 30.956 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.956 * * * * [progress]: [ 23 / 197 ] simplifiying candidate # 30.956 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 30.956 * * [simplify]: iters left: 5 (8 enodes) 30.959 * * [simplify]: iters left: 4 (31 enodes) 30.970 * * [simplify]: iters left: 3 (45 enodes) 30.983 * * [simplify]: iters left: 2 (51 enodes) 30.997 * * [simplify]: iters left: 1 (52 enodes) 31.004 * * [simplify]: Extracting #0: cost 1 inf + 0 31.004 * * [simplify]: Extracting #1: cost 8 inf + 0 31.004 * * [simplify]: Extracting #2: cost 18 inf + 0 31.004 * * [simplify]: Extracting #3: cost 19 inf + 2 31.004 * * [simplify]: Extracting #4: cost 9 inf + 697 31.004 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.005 * * [simplify]: Extracting #6: cost 0 inf + 1715 31.005 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.005 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.005 * * * * [progress]: [ 24 / 197 ] simplifiying candidate # 31.005 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 31.005 * * [simplify]: iters left: 5 (7 enodes) 31.008 * * [simplify]: iters left: 4 (29 enodes) 31.013 * * [simplify]: iters left: 3 (43 enodes) 31.019 * * [simplify]: iters left: 2 (47 enodes) 31.026 * * [simplify]: Extracting #0: cost 1 inf + 0 31.026 * * [simplify]: Extracting #1: cost 7 inf + 0 31.026 * * [simplify]: Extracting #2: cost 11 inf + 2 31.026 * * [simplify]: Extracting #3: cost 13 inf + 3 31.026 * * [simplify]: Extracting #4: cost 11 inf + 45 31.026 * * [simplify]: Extracting #5: cost 0 inf + 1066 31.026 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.026 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 31.026 * * * * [progress]: [ 25 / 197 ] simplifiying candidate # 31.027 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 31.027 * * [simplify]: iters left: 5 (7 enodes) 31.029 * * [simplify]: iters left: 4 (28 enodes) 31.034 * * [simplify]: iters left: 3 (39 enodes) 31.042 * * [simplify]: iters left: 2 (43 enodes) 31.049 * * [simplify]: Extracting #0: cost 1 inf + 0 31.049 * * [simplify]: Extracting #1: cost 7 inf + 0 31.049 * * [simplify]: Extracting #2: cost 16 inf + 0 31.049 * * [simplify]: Extracting #3: cost 15 inf + 164 31.049 * * [simplify]: Extracting #4: cost 13 inf + 287 31.049 * * [simplify]: Extracting #5: cost 5 inf + 1180 31.050 * * [simplify]: Extracting #6: cost 0 inf + 1951 31.050 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.050 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 31.050 * * * * [progress]: [ 26 / 197 ] simplifiying candidate # 31.050 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 31.051 * * [simplify]: iters left: 5 (7 enodes) 31.053 * * [simplify]: iters left: 4 (28 enodes) 31.058 * * [simplify]: iters left: 3 (39 enodes) 31.064 * * [simplify]: iters left: 2 (43 enodes) 31.070 * * [simplify]: Extracting #0: cost 1 inf + 0 31.071 * * [simplify]: Extracting #1: cost 7 inf + 0 31.071 * * [simplify]: Extracting #2: cost 16 inf + 0 31.071 * * [simplify]: Extracting #3: cost 15 inf + 84 31.071 * * [simplify]: Extracting #4: cost 13 inf + 167 31.071 * * [simplify]: Extracting #5: cost 5 inf + 900 31.071 * * [simplify]: Extracting #6: cost 0 inf + 1551 31.072 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.072 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 31.072 * * * * [progress]: [ 27 / 197 ] simplifiying candidate # 31.072 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 31.072 * * [simplify]: iters left: 5 (6 enodes) 31.075 * * [simplify]: iters left: 4 (26 enodes) 31.079 * * [simplify]: iters left: 3 (35 enodes) 31.085 * * [simplify]: Extracting #0: cost 1 inf + 0 31.085 * * [simplify]: Extracting #1: cost 6 inf + 0 31.085 * * [simplify]: Extracting #2: cost 9 inf + 2 31.085 * * [simplify]: Extracting #3: cost 11 inf + 3 31.085 * * [simplify]: Extracting #4: cost 10 inf + 4 31.085 * * [simplify]: Extracting #5: cost 3 inf + 535 31.085 * * [simplify]: Extracting #6: cost 0 inf + 822 31.085 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.085 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 31.085 * * * * [progress]: [ 28 / 197 ] simplifiying candidate # 31.086 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.086 * * [simplify]: iters left: 4 (6 enodes) 31.088 * * [simplify]: iters left: 3 (25 enodes) 31.092 * * [simplify]: iters left: 2 (36 enodes) 31.102 * * [simplify]: iters left: 1 (40 enodes) 31.114 * * [simplify]: Extracting #0: cost 1 inf + 0 31.114 * * [simplify]: Extracting #1: cost 7 inf + 0 31.114 * * [simplify]: Extracting #2: cost 16 inf + 0 31.114 * * [simplify]: Extracting #3: cost 13 inf + 44 31.115 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.115 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.116 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.116 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 31.116 * * * * [progress]: [ 29 / 197 ] simplifiying candidate # 31.116 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.116 * * [simplify]: iters left: 4 (6 enodes) 31.120 * * [simplify]: iters left: 3 (25 enodes) 31.130 * * [simplify]: iters left: 2 (36 enodes) 31.141 * * [simplify]: iters left: 1 (40 enodes) 31.156 * * [simplify]: Extracting #0: cost 1 inf + 0 31.156 * * [simplify]: Extracting #1: cost 7 inf + 0 31.156 * * [simplify]: Extracting #2: cost 16 inf + 0 31.156 * * [simplify]: Extracting #3: cost 13 inf + 44 31.156 * * [simplify]: Extracting #4: cost 3 inf + 823 31.157 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.157 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.157 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 31.158 * * * * [progress]: [ 30 / 197 ] simplifiying candidate # 31.158 * [simplify]: Simplifying (/ (- 1 k) 2) 31.158 * * [simplify]: iters left: 4 (5 enodes) 31.162 * * [simplify]: iters left: 3 (23 enodes) 31.170 * * [simplify]: iters left: 2 (32 enodes) 31.175 * * [simplify]: Extracting #0: cost 1 inf + 0 31.175 * * [simplify]: Extracting #1: cost 6 inf + 0 31.175 * * [simplify]: Extracting #2: cost 9 inf + 2 31.175 * * [simplify]: Extracting #3: cost 6 inf + 87 31.175 * * [simplify]: Extracting #4: cost 0 inf + 420 31.175 * [simplify]: Simplified to (/ (- 1 k) 2) 31.175 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.175 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 31.176 * [simplify]: Simplifying (/ (- 1 k) 2) 31.176 * * [simplify]: iters left: 4 (5 enodes) 31.178 * * [simplify]: iters left: 3 (23 enodes) 31.182 * * [simplify]: iters left: 2 (32 enodes) 31.187 * * [simplify]: Extracting #0: cost 1 inf + 0 31.187 * * [simplify]: Extracting #1: cost 6 inf + 0 31.187 * * [simplify]: Extracting #2: cost 9 inf + 2 31.187 * * [simplify]: Extracting #3: cost 6 inf + 87 31.187 * * [simplify]: Extracting #4: cost 0 inf + 420 31.188 * [simplify]: Simplified to (/ (- 1 k) 2) 31.188 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.188 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 31.188 * [simplify]: Simplifying (/ 1 2) 31.188 * * [simplify]: iters left: 2 (3 enodes) 31.190 * * [simplify]: iters left: 1 (12 enodes) 31.192 * * [simplify]: Extracting #0: cost 1 inf + 0 31.192 * * [simplify]: Extracting #1: cost 0 inf + 1 31.192 * [simplify]: Simplified to 1/2 31.192 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k)))) 31.192 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 31.192 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 31.192 * * [simplify]: iters left: 5 (7 enodes) 31.195 * * [simplify]: iters left: 4 (32 enodes) 31.203 * * [simplify]: iters left: 3 (57 enodes) 31.219 * * [simplify]: iters left: 2 (88 enodes) 31.235 * * [simplify]: iters left: 1 (156 enodes) 31.296 * * [simplify]: Extracting #0: cost 1 inf + 0 31.296 * * [simplify]: Extracting #1: cost 13 inf + 0 31.296 * * [simplify]: Extracting #2: cost 49 inf + 2 31.297 * * [simplify]: Extracting #3: cost 80 inf + 6 31.298 * * [simplify]: Extracting #4: cost 58 inf + 1840 31.301 * * [simplify]: Extracting #5: cost 22 inf + 9206 31.306 * * [simplify]: Extracting #6: cost 1 inf + 20886 31.312 * * [simplify]: Extracting #7: cost 0 inf + 21301 31.318 * * [simplify]: Extracting #8: cost 0 inf + 21130 31.324 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 31.324 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 31.324 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 31.324 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 31.324 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 31.324 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 42 / 197 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 31.325 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 31.325 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 31.325 * [simplify]: Simplifying (- 1/2) 31.325 * * [simplify]: iters left: 2 (2 enodes) 31.328 * * [simplify]: iters left: 1 (7 enodes) 31.330 * * [simplify]: Extracting #0: cost 1 inf + 0 31.331 * * [simplify]: Extracting #1: cost 0 inf + 1 31.331 * [simplify]: Simplified to -1/2 31.331 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 31.331 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 31.331 * [simplify]: Simplifying (- 1) 31.331 * * [simplify]: iters left: 2 (2 enodes) 31.333 * * [simplify]: iters left: 1 (9 enodes) 31.337 * * [simplify]: Extracting #0: cost 1 inf + 0 31.337 * * [simplify]: Extracting #1: cost 0 inf + 1 31.337 * [simplify]: Simplified to -1 31.337 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 31.337 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 31.337 * [simplify]: Simplifying (- (/ 1 2)) 31.337 * * [simplify]: iters left: 4 (4 enodes) 31.342 * * [simplify]: iters left: 3 (19 enodes) 31.349 * * [simplify]: iters left: 2 (23 enodes) 31.356 * * [simplify]: Extracting #0: cost 1 inf + 0 31.356 * * [simplify]: Extracting #1: cost 0 inf + 1 31.356 * [simplify]: Simplified to -1/2 31.356 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 31.356 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 31.356 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 31.357 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 31.357 * [simplify]: Simplifying (- 0 (log (sqrt k))) 31.357 * * [simplify]: iters left: 4 (5 enodes) 31.360 * * [simplify]: iters left: 3 (17 enodes) 31.365 * * [simplify]: iters left: 2 (21 enodes) 31.371 * * [simplify]: iters left: 1 (23 enodes) 31.378 * * [simplify]: Extracting #0: cost 1 inf + 0 31.378 * * [simplify]: Extracting #1: cost 4 inf + 0 31.378 * * [simplify]: Extracting #2: cost 5 inf + 1 31.378 * * [simplify]: Extracting #3: cost 7 inf + 1 31.378 * * [simplify]: Extracting #4: cost 0 inf + 608 31.379 * [simplify]: Simplified to (- (log (sqrt k))) 31.379 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 31.379 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 31.379 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 31.379 * * [simplify]: iters left: 4 (6 enodes) 31.383 * * [simplify]: iters left: 3 (22 enodes) 31.390 * * [simplify]: Extracting #0: cost 1 inf + 0 31.390 * * [simplify]: Extracting #1: cost 4 inf + 0 31.390 * * [simplify]: Extracting #2: cost 5 inf + 1 31.390 * * [simplify]: Extracting #3: cost 7 inf + 1 31.390 * * [simplify]: Extracting #4: cost 6 inf + 2 31.390 * * [simplify]: Extracting #5: cost 1 inf + 457 31.390 * * [simplify]: Extracting #6: cost 0 inf + 608 31.390 * [simplify]: Simplified to (- (log (sqrt k))) 31.390 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 31.390 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 31.391 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 31.391 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 31.391 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 31.391 * * [simplify]: iters left: 6 (8 enodes) 31.395 * * [simplify]: iters left: 5 (26 enodes) 31.404 * * [simplify]: iters left: 4 (43 enodes) 31.421 * * [simplify]: iters left: 3 (59 enodes) 31.432 * * [simplify]: iters left: 2 (67 enodes) 31.441 * * [simplify]: iters left: 1 (69 enodes) 31.450 * * [simplify]: Extracting #0: cost 1 inf + 0 31.450 * * [simplify]: Extracting #1: cost 14 inf + 0 31.450 * * [simplify]: Extracting #2: cost 18 inf + 2 31.450 * * [simplify]: Extracting #3: cost 7 inf + 701 31.450 * * [simplify]: Extracting #4: cost 0 inf + 1234 31.451 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 31.451 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 31.451 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 31.451 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 31.451 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 31.451 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 31.451 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 31.451 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.451 * * [simplify]: iters left: 6 (8 enodes) 31.454 * * [simplify]: iters left: 5 (32 enodes) 31.460 * * [simplify]: iters left: 4 (48 enodes) 31.468 * * [simplify]: iters left: 3 (76 enodes) 31.488 * * [simplify]: iters left: 2 (81 enodes) 31.501 * * [simplify]: Extracting #0: cost 1 inf + 0 31.501 * * [simplify]: Extracting #1: cost 6 inf + 0 31.501 * * [simplify]: Extracting #2: cost 9 inf + 1 31.501 * * [simplify]: Extracting #3: cost 11 inf + 1 31.501 * * [simplify]: Extracting #4: cost 2 inf + 1052 31.502 * * [simplify]: Extracting #5: cost 0 inf + 1376 31.502 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.502 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 31.503 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 31.503 * * [simplify]: iters left: 4 (6 enodes) 31.507 * * [simplify]: iters left: 3 (20 enodes) 31.513 * * [simplify]: iters left: 2 (22 enodes) 31.519 * * [simplify]: Extracting #0: cost 1 inf + 0 31.519 * * [simplify]: Extracting #1: cost 4 inf + 0 31.519 * * [simplify]: Extracting #2: cost 5 inf + 1 31.519 * * [simplify]: Extracting #3: cost 7 inf + 1 31.519 * * [simplify]: Extracting #4: cost 1 inf + 488 31.519 * * [simplify]: Extracting #5: cost 0 inf + 650 31.520 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.520 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 31.520 * * * * [progress]: [ 61 / 197 ] simplifiying candidate # 31.520 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 31.520 * * [simplify]: iters left: 6 (8 enodes) 31.528 * * [simplify]: iters left: 5 (29 enodes) 31.534 * * [simplify]: iters left: 4 (31 enodes) 31.539 * * [simplify]: Extracting #0: cost 1 inf + 0 31.539 * * [simplify]: Extracting #1: cost 4 inf + 0 31.539 * * [simplify]: Extracting #2: cost 6 inf + 1 31.539 * * [simplify]: Extracting #3: cost 9 inf + 1 31.539 * * [simplify]: Extracting #4: cost 8 inf + 2 31.539 * * [simplify]: Extracting #5: cost 2 inf + 729 31.539 * * [simplify]: Extracting #6: cost 0 inf + 972 31.539 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 31.539 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 31.540 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 31.540 * * [simplify]: iters left: 4 (6 enodes) 31.542 * * [simplify]: iters left: 3 (20 enodes) 31.545 * * [simplify]: iters left: 2 (22 enodes) 31.549 * * [simplify]: Extracting #0: cost 1 inf + 0 31.549 * * [simplify]: Extracting #1: cost 4 inf + 0 31.549 * * [simplify]: Extracting #2: cost 5 inf + 1 31.549 * * [simplify]: Extracting #3: cost 7 inf + 1 31.549 * * [simplify]: Extracting #4: cost 1 inf + 568 31.549 * * [simplify]: Extracting #5: cost 0 inf + 730 31.549 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 31.549 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 31.549 * * * * [progress]: [ 62 / 197 ] simplifiying candidate # 31.550 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 31.550 * * [simplify]: iters left: 5 (7 enodes) 31.552 * * [simplify]: iters left: 4 (25 enodes) 31.557 * * [simplify]: iters left: 3 (27 enodes) 31.562 * * [simplify]: Extracting #0: cost 1 inf + 0 31.562 * * [simplify]: Extracting #1: cost 4 inf + 0 31.562 * * [simplify]: Extracting #2: cost 5 inf + 1 31.562 * * [simplify]: Extracting #3: cost 7 inf + 1 31.562 * * [simplify]: Extracting #4: cost 6 inf + 2 31.562 * * [simplify]: Extracting #5: cost 2 inf + 368 31.563 * * [simplify]: Extracting #6: cost 0 inf + 490 31.563 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.563 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 31.563 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 31.563 * * [simplify]: iters left: 4 (6 enodes) 31.567 * * [simplify]: iters left: 3 (20 enodes) 31.573 * * [simplify]: iters left: 2 (22 enodes) 31.579 * * [simplify]: Extracting #0: cost 1 inf + 0 31.580 * * [simplify]: Extracting #1: cost 4 inf + 0 31.580 * * [simplify]: Extracting #2: cost 5 inf + 1 31.580 * * [simplify]: Extracting #3: cost 7 inf + 1 31.580 * * [simplify]: Extracting #4: cost 1 inf + 368 31.580 * * [simplify]: Extracting #5: cost 0 inf + 490 31.580 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.580 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.580 * * * * [progress]: [ 63 / 197 ] simplifiying candidate # 31.581 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 31.581 * * [simplify]: iters left: 5 (5 enodes) 31.590 * * [simplify]: iters left: 4 (19 enodes) 31.595 * * [simplify]: iters left: 3 (21 enodes) 31.600 * * [simplify]: Extracting #0: cost 1 inf + 0 31.600 * * [simplify]: Extracting #1: cost 0 inf + 1 31.600 * [simplify]: Simplified to 1 31.600 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 31.600 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 31.600 * * [simplify]: iters left: 3 (5 enodes) 31.605 * * [simplify]: iters left: 2 (17 enodes) 31.610 * * [simplify]: iters left: 1 (19 enodes) 31.615 * * [simplify]: Extracting #0: cost 1 inf + 0 31.615 * * [simplify]: Extracting #1: cost 4 inf + 0 31.615 * * [simplify]: Extracting #2: cost 5 inf + 1 31.616 * * [simplify]: Extracting #3: cost 0 inf + 248 31.616 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.616 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.616 * * * * [progress]: [ 64 / 197 ] simplifiying candidate # 31.616 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 31.616 * * [simplify]: iters left: 5 (7 enodes) 31.621 * * [simplify]: iters left: 4 (25 enodes) 31.629 * * [simplify]: iters left: 3 (27 enodes) 31.637 * * [simplify]: Extracting #0: cost 1 inf + 0 31.637 * * [simplify]: Extracting #1: cost 4 inf + 0 31.637 * * [simplify]: Extracting #2: cost 5 inf + 1 31.637 * * [simplify]: Extracting #3: cost 7 inf + 1 31.637 * * [simplify]: Extracting #4: cost 6 inf + 2 31.637 * * [simplify]: Extracting #5: cost 2 inf + 368 31.637 * * [simplify]: Extracting #6: cost 0 inf + 490 31.638 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.638 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 31.638 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 31.638 * * [simplify]: iters left: 4 (6 enodes) 31.643 * * [simplify]: iters left: 3 (20 enodes) 31.646 * * [simplify]: iters left: 2 (22 enodes) 31.649 * * [simplify]: Extracting #0: cost 1 inf + 0 31.649 * * [simplify]: Extracting #1: cost 4 inf + 0 31.649 * * [simplify]: Extracting #2: cost 5 inf + 1 31.649 * * [simplify]: Extracting #3: cost 7 inf + 1 31.649 * * [simplify]: Extracting #4: cost 1 inf + 368 31.649 * * [simplify]: Extracting #5: cost 0 inf + 490 31.649 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.649 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.650 * * * * [progress]: [ 65 / 197 ] simplifiying candidate # 31.650 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 31.650 * * [simplify]: iters left: 5 (4 enodes) 31.656 * * [simplify]: iters left: 4 (14 enodes) 31.658 * * [simplify]: iters left: 3 (16 enodes) 31.659 * * [simplify]: Extracting #0: cost 1 inf + 0 31.659 * * [simplify]: Extracting #1: cost 0 inf + 1 31.659 * [simplify]: Simplified to 1 31.660 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 31.660 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 31.660 * * [simplify]: iters left: 3 (5 enodes) 31.662 * * [simplify]: iters left: 2 (17 enodes) 31.667 * * [simplify]: iters left: 1 (19 enodes) 31.673 * * [simplify]: Extracting #0: cost 1 inf + 0 31.673 * * [simplify]: Extracting #1: cost 4 inf + 0 31.673 * * [simplify]: Extracting #2: cost 5 inf + 1 31.673 * * [simplify]: Extracting #3: cost 0 inf + 248 31.673 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.673 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.673 * * * * [progress]: [ 66 / 197 ] simplifiying candidate # 31.674 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.674 * * [simplify]: iters left: 6 (7 enodes) 31.678 * * [simplify]: iters left: 5 (25 enodes) 31.687 * * [simplify]: iters left: 4 (32 enodes) 31.696 * * [simplify]: iters left: 3 (34 enodes) 31.705 * * [simplify]: Extracting #0: cost 1 inf + 0 31.705 * * [simplify]: Extracting #1: cost 7 inf + 0 31.705 * * [simplify]: Extracting #2: cost 11 inf + 1 31.705 * * [simplify]: Extracting #3: cost 13 inf + 1 31.705 * * [simplify]: Extracting #4: cost 10 inf + 84 31.705 * * [simplify]: Extracting #5: cost 4 inf + 1014 31.706 * * [simplify]: Extracting #6: cost 1 inf + 1498 31.706 * * [simplify]: Extracting #7: cost 0 inf + 1700 31.706 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 31.706 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 31.707 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 31.707 * * [simplify]: iters left: 4 (6 enodes) 31.709 * * [simplify]: iters left: 3 (20 enodes) 31.712 * * [simplify]: iters left: 2 (22 enodes) 31.715 * * [simplify]: Extracting #0: cost 1 inf + 0 31.715 * * [simplify]: Extracting #1: cost 4 inf + 0 31.715 * * [simplify]: Extracting #2: cost 5 inf + 1 31.715 * * [simplify]: Extracting #3: cost 7 inf + 1 31.715 * * [simplify]: Extracting #4: cost 1 inf + 488 31.715 * * [simplify]: Extracting #5: cost 0 inf + 650 31.715 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.715 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 31.715 * * * * [progress]: [ 67 / 197 ] simplifiying candidate # 31.716 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 31.716 * * [simplify]: iters left: 6 (7 enodes) 31.718 * * [simplify]: iters left: 5 (24 enodes) 31.721 * * [simplify]: iters left: 4 (26 enodes) 31.725 * * [simplify]: Extracting #0: cost 1 inf + 0 31.725 * * [simplify]: Extracting #1: cost 4 inf + 0 31.725 * * [simplify]: Extracting #2: cost 6 inf + 1 31.725 * * [simplify]: Extracting #3: cost 9 inf + 1 31.725 * * [simplify]: Extracting #4: cost 8 inf + 2 31.725 * * [simplify]: Extracting #5: cost 2 inf + 730 31.725 * * [simplify]: Extracting #6: cost 0 inf + 972 31.726 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 31.726 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 31.726 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 31.726 * * [simplify]: iters left: 4 (6 enodes) 31.728 * * [simplify]: iters left: 3 (20 enodes) 31.731 * * [simplify]: iters left: 2 (22 enodes) 31.734 * * [simplify]: Extracting #0: cost 1 inf + 0 31.734 * * [simplify]: Extracting #1: cost 4 inf + 0 31.734 * * [simplify]: Extracting #2: cost 5 inf + 1 31.734 * * [simplify]: Extracting #3: cost 7 inf + 1 31.734 * * [simplify]: Extracting #4: cost 1 inf + 568 31.734 * * [simplify]: Extracting #5: cost 0 inf + 730 31.735 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 31.735 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 31.735 * * * * [progress]: [ 68 / 197 ] simplifiying candidate # 31.735 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.735 * * [simplify]: iters left: 4 (6 enodes) 31.737 * * [simplify]: iters left: 3 (20 enodes) 31.742 * * [simplify]: iters left: 2 (22 enodes) 31.749 * * [simplify]: Extracting #0: cost 1 inf + 0 31.749 * * [simplify]: Extracting #1: cost 4 inf + 0 31.749 * * [simplify]: Extracting #2: cost 5 inf + 1 31.749 * * [simplify]: Extracting #3: cost 7 inf + 1 31.749 * * [simplify]: Extracting #4: cost 1 inf + 368 31.749 * * [simplify]: Extracting #5: cost 0 inf + 490 31.749 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.749 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 31.750 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.750 * * [simplify]: iters left: 4 (6 enodes) 31.754 * * [simplify]: iters left: 3 (20 enodes) 31.760 * * [simplify]: iters left: 2 (22 enodes) 31.766 * * [simplify]: Extracting #0: cost 1 inf + 0 31.766 * * [simplify]: Extracting #1: cost 4 inf + 0 31.766 * * [simplify]: Extracting #2: cost 5 inf + 1 31.766 * * [simplify]: Extracting #3: cost 7 inf + 1 31.766 * * [simplify]: Extracting #4: cost 1 inf + 368 31.766 * * [simplify]: Extracting #5: cost 0 inf + 490 31.766 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.766 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.767 * * * * [progress]: [ 69 / 197 ] simplifiying candidate # 31.767 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 31.767 * * [simplify]: iters left: 3 (3 enodes) 31.771 * * [simplify]: iters left: 2 (9 enodes) 31.776 * * [simplify]: iters left: 1 (11 enodes) 31.779 * * [simplify]: Extracting #0: cost 1 inf + 0 31.779 * * [simplify]: Extracting #1: cost 0 inf + 1 31.779 * [simplify]: Simplified to 1 31.779 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 31.779 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 31.780 * * [simplify]: iters left: 3 (5 enodes) 31.784 * * [simplify]: iters left: 2 (17 enodes) 31.789 * * [simplify]: iters left: 1 (19 enodes) 31.794 * * [simplify]: Extracting #0: cost 1 inf + 0 31.794 * * [simplify]: Extracting #1: cost 4 inf + 0 31.794 * * [simplify]: Extracting #2: cost 5 inf + 1 31.794 * * [simplify]: Extracting #3: cost 0 inf + 248 31.794 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.794 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.795 * * * * [progress]: [ 70 / 197 ] simplifiying candidate # 31.795 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.795 * * [simplify]: iters left: 4 (6 enodes) 31.799 * * [simplify]: iters left: 3 (20 enodes) 31.805 * * [simplify]: iters left: 2 (22 enodes) 31.812 * * [simplify]: Extracting #0: cost 1 inf + 0 31.812 * * [simplify]: Extracting #1: cost 4 inf + 0 31.812 * * [simplify]: Extracting #2: cost 5 inf + 1 31.812 * * [simplify]: Extracting #3: cost 7 inf + 1 31.812 * * [simplify]: Extracting #4: cost 1 inf + 368 31.812 * * [simplify]: Extracting #5: cost 0 inf + 490 31.812 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.812 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 31.813 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.813 * * [simplify]: iters left: 4 (6 enodes) 31.817 * * [simplify]: iters left: 3 (20 enodes) 31.823 * * [simplify]: iters left: 2 (22 enodes) 31.829 * * [simplify]: Extracting #0: cost 1 inf + 0 31.829 * * [simplify]: Extracting #1: cost 4 inf + 0 31.829 * * [simplify]: Extracting #2: cost 5 inf + 1 31.829 * * [simplify]: Extracting #3: cost 7 inf + 1 31.829 * * [simplify]: Extracting #4: cost 1 inf + 368 31.830 * * [simplify]: Extracting #5: cost 0 inf + 490 31.830 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.830 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.830 * * * * [progress]: [ 71 / 197 ] simplifiying candidate # 31.830 * [simplify]: Simplifying (/ (sqrt 1) 1) 31.830 * * [simplify]: iters left: 3 (3 enodes) 31.834 * * [simplify]: iters left: 2 (9 enodes) 31.837 * * [simplify]: iters left: 1 (11 enodes) 31.839 * * [simplify]: Extracting #0: cost 1 inf + 0 31.840 * * [simplify]: Extracting #1: cost 0 inf + 1 31.840 * [simplify]: Simplified to 1 31.840 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 31.840 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 31.840 * * [simplify]: iters left: 3 (5 enodes) 31.845 * * [simplify]: iters left: 2 (17 enodes) 31.850 * * [simplify]: iters left: 1 (19 enodes) 31.855 * * [simplify]: Extracting #0: cost 1 inf + 0 31.855 * * [simplify]: Extracting #1: cost 4 inf + 0 31.855 * * [simplify]: Extracting #2: cost 5 inf + 1 31.856 * * [simplify]: Extracting #3: cost 0 inf + 248 31.856 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.856 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.856 * * * * [progress]: [ 72 / 197 ] simplifiying candidate # 31.856 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.856 * * [simplify]: iters left: 6 (6 enodes) 31.860 * * [simplify]: iters left: 5 (22 enodes) 31.867 * * [simplify]: iters left: 4 (26 enodes) 31.875 * * [simplify]: Extracting #0: cost 1 inf + 0 31.875 * * [simplify]: Extracting #1: cost 6 inf + 0 31.875 * * [simplify]: Extracting #2: cost 9 inf + 1 31.875 * * [simplify]: Extracting #3: cost 11 inf + 1 31.875 * * [simplify]: Extracting #4: cost 8 inf + 84 31.875 * * [simplify]: Extracting #5: cost 2 inf + 1013 31.876 * * [simplify]: Extracting #6: cost 0 inf + 1376 31.876 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.876 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 31.877 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 31.877 * * [simplify]: iters left: 4 (5 enodes) 31.879 * * [simplify]: iters left: 3 (17 enodes) 31.882 * * [simplify]: iters left: 2 (19 enodes) 31.885 * * [simplify]: Extracting #0: cost 1 inf + 0 31.885 * * [simplify]: Extracting #1: cost 4 inf + 0 31.885 * * [simplify]: Extracting #2: cost 5 inf + 1 31.885 * * [simplify]: Extracting #3: cost 7 inf + 1 31.885 * * [simplify]: Extracting #4: cost 0 inf + 650 31.885 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.885 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 31.885 * * * * [progress]: [ 73 / 197 ] simplifiying candidate # 31.885 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 31.885 * * [simplify]: iters left: 6 (6 enodes) 31.887 * * [simplify]: iters left: 5 (21 enodes) 31.890 * * [simplify]: iters left: 4 (23 enodes) 31.894 * * [simplify]: Extracting #0: cost 1 inf + 0 31.894 * * [simplify]: Extracting #1: cost 4 inf + 0 31.894 * * [simplify]: Extracting #2: cost 6 inf + 1 31.894 * * [simplify]: Extracting #3: cost 9 inf + 1 31.894 * * [simplify]: Extracting #4: cost 8 inf + 2 31.894 * * [simplify]: Extracting #5: cost 1 inf + 810 31.894 * * [simplify]: Extracting #6: cost 0 inf + 972 31.894 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 31.894 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 31.895 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 31.895 * * [simplify]: iters left: 4 (5 enodes) 31.896 * * [simplify]: iters left: 3 (17 enodes) 31.899 * * [simplify]: iters left: 2 (19 enodes) 31.902 * * [simplify]: Extracting #0: cost 1 inf + 0 31.902 * * [simplify]: Extracting #1: cost 4 inf + 0 31.902 * * [simplify]: Extracting #2: cost 5 inf + 1 31.902 * * [simplify]: Extracting #3: cost 7 inf + 1 31.902 * * [simplify]: Extracting #4: cost 0 inf + 730 31.902 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 31.902 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 31.902 * * * * [progress]: [ 74 / 197 ] simplifiying candidate # 31.902 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.902 * * [simplify]: iters left: 4 (5 enodes) 31.904 * * [simplify]: iters left: 3 (17 enodes) 31.907 * * [simplify]: iters left: 2 (19 enodes) 31.916 * * [simplify]: Extracting #0: cost 1 inf + 0 31.916 * * [simplify]: Extracting #1: cost 4 inf + 0 31.916 * * [simplify]: Extracting #2: cost 5 inf + 1 31.916 * * [simplify]: Extracting #3: cost 7 inf + 1 31.916 * * [simplify]: Extracting #4: cost 0 inf + 490 31.916 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.916 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.917 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.917 * * [simplify]: iters left: 4 (5 enodes) 31.919 * * [simplify]: iters left: 3 (17 enodes) 31.925 * * [simplify]: iters left: 2 (19 enodes) 31.931 * * [simplify]: Extracting #0: cost 1 inf + 0 31.931 * * [simplify]: Extracting #1: cost 4 inf + 0 31.931 * * [simplify]: Extracting #2: cost 5 inf + 1 31.931 * * [simplify]: Extracting #3: cost 7 inf + 1 31.931 * * [simplify]: Extracting #4: cost 0 inf + 490 31.931 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.931 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.931 * * * * [progress]: [ 75 / 197 ] simplifiying candidate # 31.932 * [simplify]: Simplifying (/ 1 (sqrt 1)) 31.932 * * [simplify]: iters left: 3 (3 enodes) 31.938 * * [simplify]: iters left: 2 (11 enodes) 31.941 * * [simplify]: iters left: 1 (13 enodes) 31.944 * * [simplify]: Extracting #0: cost 1 inf + 0 31.944 * * [simplify]: Extracting #1: cost 0 inf + 1 31.944 * [simplify]: Simplified to 1 31.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.945 * [simplify]: Simplifying (/ 1 (sqrt k)) 31.945 * * [simplify]: iters left: 3 (4 enodes) 31.947 * * [simplify]: iters left: 2 (14 enodes) 31.952 * * [simplify]: iters left: 1 (16 enodes) 31.957 * * [simplify]: Extracting #0: cost 1 inf + 0 31.957 * * [simplify]: Extracting #1: cost 4 inf + 0 31.957 * * [simplify]: Extracting #2: cost 5 inf + 1 31.957 * * [simplify]: Extracting #3: cost 3 inf + 43 31.957 * * [simplify]: Extracting #4: cost 1 inf + 166 31.957 * * [simplify]: Extracting #5: cost 0 inf + 248 31.957 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.957 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.957 * * * * [progress]: [ 76 / 197 ] simplifiying candidate # 31.958 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.958 * * [simplify]: iters left: 4 (5 enodes) 31.961 * * [simplify]: iters left: 3 (17 enodes) 31.966 * * [simplify]: iters left: 2 (19 enodes) 31.972 * * [simplify]: Extracting #0: cost 1 inf + 0 31.972 * * [simplify]: Extracting #1: cost 4 inf + 0 31.972 * * [simplify]: Extracting #2: cost 5 inf + 1 31.972 * * [simplify]: Extracting #3: cost 7 inf + 1 31.972 * * [simplify]: Extracting #4: cost 0 inf + 490 31.972 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.972 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.973 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.973 * * [simplify]: iters left: 4 (5 enodes) 31.975 * * [simplify]: iters left: 3 (17 enodes) 31.981 * * [simplify]: iters left: 2 (19 enodes) 31.986 * * [simplify]: Extracting #0: cost 1 inf + 0 31.986 * * [simplify]: Extracting #1: cost 4 inf + 0 31.986 * * [simplify]: Extracting #2: cost 5 inf + 1 31.986 * * [simplify]: Extracting #3: cost 7 inf + 1 31.986 * * [simplify]: Extracting #4: cost 0 inf + 490 31.987 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.987 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.987 * * * * [progress]: [ 77 / 197 ] simplifiying candidate # 31.987 * [simplify]: Simplifying (/ 1 1) 31.987 * * [simplify]: iters left: 2 (2 enodes) 31.989 * * [simplify]: iters left: 1 (6 enodes) 31.991 * * [simplify]: Extracting #0: cost 1 inf + 0 31.991 * * [simplify]: Extracting #1: cost 0 inf + 1 31.991 * [simplify]: Simplified to 1 31.991 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.991 * [simplify]: Simplifying (/ 1 (sqrt k)) 31.991 * * [simplify]: iters left: 3 (4 enodes) 31.993 * * [simplify]: iters left: 2 (14 enodes) 31.998 * * [simplify]: iters left: 1 (16 enodes) 32.003 * * [simplify]: Extracting #0: cost 1 inf + 0 32.003 * * [simplify]: Extracting #1: cost 4 inf + 0 32.003 * * [simplify]: Extracting #2: cost 5 inf + 1 32.003 * * [simplify]: Extracting #3: cost 3 inf + 43 32.003 * * [simplify]: Extracting #4: cost 1 inf + 166 32.003 * * [simplify]: Extracting #5: cost 0 inf + 248 32.003 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.003 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 32.004 * * * * [progress]: [ 78 / 197 ] simplifiying candidate # 32.004 * * * * [progress]: [ 79 / 197 ] simplifiying candidate # 32.004 * * * * [progress]: [ 80 / 197 ] simplifiying candidate # 32.004 * * * * [progress]: [ 81 / 197 ] simplifiying candidate # 32.004 * [simplify]: Simplifying (cbrt (sqrt k)) 32.004 * * [simplify]: iters left: 2 (3 enodes) 32.005 * * [simplify]: iters left: 1 (9 enodes) 32.008 * * [simplify]: Extracting #0: cost 1 inf + 0 32.008 * * [simplify]: Extracting #1: cost 3 inf + 0 32.008 * * [simplify]: Extracting #2: cost 5 inf + 0 32.008 * * [simplify]: Extracting #3: cost 4 inf + 1 32.009 * * [simplify]: Extracting #4: cost 0 inf + 325 32.009 * [simplify]: Simplified to (cbrt (sqrt k)) 32.009 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 32.009 * * * * [progress]: [ 82 / 197 ] simplifiying candidate # 32.009 * [simplify]: Simplifying (sqrt (cbrt k)) 32.009 * * [simplify]: iters left: 2 (3 enodes) 32.010 * * [simplify]: iters left: 1 (9 enodes) 32.013 * * [simplify]: Extracting #0: cost 1 inf + 0 32.013 * * [simplify]: Extracting #1: cost 3 inf + 0 32.013 * * [simplify]: Extracting #2: cost 5 inf + 0 32.013 * * [simplify]: Extracting #3: cost 4 inf + 1 32.013 * * [simplify]: Extracting #4: cost 0 inf + 405 32.013 * [simplify]: Simplified to (sqrt (cbrt k)) 32.013 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 32.013 * * * * [progress]: [ 83 / 197 ] simplifiying candidate # 32.014 * [simplify]: Simplifying (sqrt (sqrt k)) 32.014 * * [simplify]: iters left: 2 (3 enodes) 32.015 * * [simplify]: iters left: 1 (9 enodes) 32.017 * * [simplify]: Extracting #0: cost 1 inf + 0 32.017 * * [simplify]: Extracting #1: cost 3 inf + 0 32.018 * * [simplify]: Extracting #2: cost 5 inf + 0 32.018 * * [simplify]: Extracting #3: cost 4 inf + 1 32.018 * * [simplify]: Extracting #4: cost 0 inf + 245 32.018 * [simplify]: Simplified to (sqrt (sqrt k)) 32.018 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.018 * * * * [progress]: [ 84 / 197 ] simplifiying candidate # 32.018 * [simplify]: Simplifying (sqrt k) 32.018 * * [simplify]: iters left: 1 (2 enodes) 32.019 * * [simplify]: Extracting #0: cost 1 inf + 0 32.019 * * [simplify]: Extracting #1: cost 3 inf + 0 32.019 * * [simplify]: Extracting #2: cost 2 inf + 1 32.019 * * [simplify]: Extracting #3: cost 0 inf + 83 32.019 * [simplify]: Simplified to (sqrt k) 32.019 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 32.020 * * * * [progress]: [ 85 / 197 ] simplifiying candidate # 32.020 * [simplify]: Simplifying (sqrt (sqrt k)) 32.020 * * [simplify]: iters left: 2 (3 enodes) 32.021 * * [simplify]: iters left: 1 (9 enodes) 32.023 * * [simplify]: Extracting #0: cost 1 inf + 0 32.023 * * [simplify]: Extracting #1: cost 3 inf + 0 32.023 * * [simplify]: Extracting #2: cost 5 inf + 0 32.023 * * [simplify]: Extracting #3: cost 4 inf + 1 32.023 * * [simplify]: Extracting #4: cost 0 inf + 245 32.023 * [simplify]: Simplified to (sqrt (sqrt k)) 32.023 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 32.023 * * * * [progress]: [ 86 / 197 ] simplifiying candidate # 32.023 * [simplify]: Simplifying (sqrt k) 32.023 * * [simplify]: iters left: 1 (2 enodes) 32.024 * * [simplify]: Extracting #0: cost 1 inf + 0 32.024 * * [simplify]: Extracting #1: cost 3 inf + 0 32.024 * * [simplify]: Extracting #2: cost 2 inf + 1 32.024 * * [simplify]: Extracting #3: cost 0 inf + 83 32.024 * [simplify]: Simplified to (sqrt k) 32.024 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k)))) 32.024 * * * * [progress]: [ 87 / 197 ] simplifiying candidate # 32.024 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 32.024 * * [simplify]: iters left: 3 (3 enodes) 32.028 * * [simplify]: iters left: 2 (11 enodes) 32.030 * * [simplify]: iters left: 1 (13 enodes) 32.032 * * [simplify]: Extracting #0: cost 1 inf + 0 32.032 * * [simplify]: Extracting #1: cost 0 inf + 1 32.032 * [simplify]: Simplified to 1 32.032 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 32.032 * * * * [progress]: [ 88 / 197 ] simplifiying candidate # 32.032 * [simplify]: Simplifying (sqrt 1) 32.032 * * [simplify]: iters left: 1 (2 enodes) 32.034 * * [simplify]: Extracting #0: cost 1 inf + 0 32.034 * * [simplify]: Extracting #1: cost 0 inf + 1 32.034 * [simplify]: Simplified to 1 32.034 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 32.034 * * * * [progress]: [ 89 / 197 ] simplifiying candidate # 32.034 * * * * [progress]: [ 90 / 197 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 32.034 * * * * [progress]: [ 91 / 197 ] simplifiying candidate # 32.034 * * * * [progress]: [ 92 / 197 ] simplifiying candidate # 32.034 * * * * [progress]: [ 93 / 197 ] simplifiying candidate # 32.034 * [simplify]: Simplifying (* n (* 2 PI)) 32.035 * * [simplify]: iters left: 4 (5 enodes) 32.036 * * [simplify]: iters left: 3 (19 enodes) 32.039 * * [simplify]: iters left: 2 (27 enodes) 32.043 * * [simplify]: iters left: 1 (32 enodes) 32.047 * * [simplify]: Extracting #0: cost 1 inf + 0 32.047 * * [simplify]: Extracting #1: cost 8 inf + 0 32.047 * * [simplify]: Extracting #2: cost 7 inf + 45 32.047 * * [simplify]: Extracting #3: cost 0 inf + 421 32.048 * [simplify]: Simplified to (* (* PI 2) n) 32.048 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.048 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 32.048 * [simplify]: Simplifying (* n (* 2 PI)) 32.048 * * [simplify]: iters left: 4 (5 enodes) 32.051 * * [simplify]: iters left: 3 (19 enodes) 32.055 * * [simplify]: iters left: 2 (27 enodes) 32.063 * * [simplify]: iters left: 1 (32 enodes) 32.072 * * [simplify]: Extracting #0: cost 1 inf + 0 32.072 * * [simplify]: Extracting #1: cost 8 inf + 0 32.072 * * [simplify]: Extracting #2: cost 7 inf + 45 32.072 * * [simplify]: Extracting #3: cost 0 inf + 421 32.072 * [simplify]: Simplified to (* (* PI 2) n) 32.073 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.073 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 32.073 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 32.073 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 32.073 * * [simplify]: iters left: 5 (8 enodes) 32.078 * * [simplify]: iters left: 4 (28 enodes) 32.086 * * [simplify]: iters left: 3 (36 enodes) 32.097 * * [simplify]: iters left: 2 (42 enodes) 32.107 * * [simplify]: Extracting #0: cost 1 inf + 0 32.108 * * [simplify]: Extracting #1: cost 8 inf + 0 32.108 * * [simplify]: Extracting #2: cost 17 inf + 0 32.108 * * [simplify]: Extracting #3: cost 12 inf + 145 32.108 * * [simplify]: Extracting #4: cost 5 inf + 1197 32.108 * * [simplify]: Extracting #5: cost 1 inf + 1925 32.108 * * [simplify]: Extracting #6: cost 0 inf + 2107 32.109 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 32.109 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.109 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 32.109 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 32.109 * * [simplify]: iters left: 5 (7 enodes) 32.111 * * [simplify]: iters left: 4 (26 enodes) 32.116 * * [simplify]: iters left: 3 (35 enodes) 32.121 * * [simplify]: iters left: 2 (44 enodes) 32.127 * * [simplify]: Extracting #0: cost 1 inf + 0 32.127 * * [simplify]: Extracting #1: cost 8 inf + 0 32.127 * * [simplify]: Extracting #2: cost 18 inf + 0 32.127 * * [simplify]: Extracting #3: cost 15 inf + 74 32.127 * * [simplify]: Extracting #4: cost 8 inf + 554 32.128 * * [simplify]: Extracting #5: cost 0 inf + 1911 32.128 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 32.128 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.128 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 32.128 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 32.128 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 32.128 * * [simplify]: iters left: 6 (11 enodes) 32.135 * * [simplify]: iters left: 5 (48 enodes) 32.154 * * [simplify]: iters left: 4 (121 enodes) 32.215 * * [simplify]: iters left: 3 (348 enodes) 32.455 * * [simplify]: Extracting #0: cost 1 inf + 0 32.455 * * [simplify]: Extracting #1: cost 67 inf + 0 32.456 * * [simplify]: Extracting #2: cost 165 inf + 786 32.465 * * [simplify]: Extracting #3: cost 85 inf + 10177 32.477 * * [simplify]: Extracting #4: cost 9 inf + 26399 32.489 * * [simplify]: Extracting #5: cost 0 inf + 28546 32.501 * * [simplify]: Extracting #6: cost 0 inf + 28506 32.514 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 32.514 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.515 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 32.515 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 32.515 * * [simplify]: iters left: 6 (9 enodes) 32.521 * * [simplify]: iters left: 5 (45 enodes) 32.538 * * [simplify]: iters left: 4 (117 enodes) 32.582 * * [simplify]: iters left: 3 (374 enodes) 32.855 * * [simplify]: Extracting #0: cost 1 inf + 0 32.860 * * [simplify]: Extracting #1: cost 77 inf + 0 32.862 * * [simplify]: Extracting #2: cost 184 inf + 984 32.869 * * [simplify]: Extracting #3: cost 106 inf + 11690 32.885 * * [simplify]: Extracting #4: cost 6 inf + 30376 32.903 * * [simplify]: Extracting #5: cost 0 inf + 31644 32.921 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 32.921 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.921 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 32.921 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 32.922 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 32.922 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 32.922 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 32.922 * * * * [progress]: [ 107 / 197 ] simplifiying candidate # 32.922 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 32.922 * * [simplify]: iters left: 3 (3 enodes) 32.923 * * [simplify]: iters left: 2 (9 enodes) 32.926 * * [simplify]: Extracting #0: cost 1 inf + 0 32.926 * * [simplify]: Extracting #1: cost 3 inf + 0 32.926 * * [simplify]: Extracting #2: cost 5 inf + 0 32.926 * * [simplify]: Extracting #3: cost 4 inf + 1 32.926 * * [simplify]: Extracting #4: cost 0 inf + 405 32.926 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 32.926 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.926 * * * * [progress]: [ 108 / 197 ] simplifiying candidate # 32.927 * [simplify]: Simplifying (sqrt n) 32.927 * * [simplify]: iters left: 1 (2 enodes) 32.928 * * [simplify]: Extracting #0: cost 1 inf + 0 32.928 * * [simplify]: Extracting #1: cost 3 inf + 0 32.928 * * [simplify]: Extracting #2: cost 2 inf + 1 32.928 * * [simplify]: Extracting #3: cost 0 inf + 83 32.928 * [simplify]: Simplified to (sqrt n) 32.928 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.928 * * * * [progress]: [ 109 / 197 ] simplifiying candidate # 32.928 * * * * [progress]: [ 110 / 197 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 32.928 * * * * [progress]: [ 111 / 197 ] simplifiying candidate # 32.928 * * * * [progress]: [ 112 / 197 ] simplifiying candidate # 32.928 * * * * [progress]: [ 113 / 197 ] simplifiying candidate # 32.928 * * * * [progress]: [ 114 / 197 ] simplifiying candidate # 32.928 * * * * [progress]: [ 115 / 197 ] simplifiying candidate # 32.929 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 32.929 * * [simplify]: iters left: 6 (17 enodes) 32.938 * * [simplify]: iters left: 5 (69 enodes) 32.949 * * [simplify]: iters left: 4 (113 enodes) 32.976 * * [simplify]: iters left: 3 (306 enodes) 33.132 * * [simplify]: Extracting #0: cost 1 inf + 0 33.132 * * [simplify]: Extracting #1: cost 34 inf + 0 33.133 * * [simplify]: Extracting #2: cost 91 inf + 0 33.133 * * [simplify]: Extracting #3: cost 140 inf + 147 33.135 * * [simplify]: Extracting #4: cost 120 inf + 7792 33.141 * * [simplify]: Extracting #5: cost 19 inf + 37202 33.155 * * [simplify]: Extracting #6: cost 0 inf + 44869 33.174 * * [simplify]: Extracting #7: cost 0 inf + 44867 33.197 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.197 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.197 * * * * [progress]: [ 116 / 197 ] simplifiying candidate # 33.197 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 33.197 * * [simplify]: iters left: 6 (18 enodes) 33.208 * * [simplify]: iters left: 5 (74 enodes) 33.233 * * [simplify]: iters left: 4 (131 enodes) 33.270 * * [simplify]: iters left: 3 (343 enodes) 33.433 * * [simplify]: Extracting #0: cost 1 inf + 0 33.433 * * [simplify]: Extracting #1: cost 36 inf + 0 33.433 * * [simplify]: Extracting #2: cost 135 inf + 1 33.434 * * [simplify]: Extracting #3: cost 182 inf + 442 33.436 * * [simplify]: Extracting #4: cost 152 inf + 12475 33.446 * * [simplify]: Extracting #5: cost 17 inf + 54342 33.458 * * [simplify]: Extracting #6: cost 0 inf + 60687 33.474 * * [simplify]: Extracting #7: cost 0 inf + 60680 33.487 * * [simplify]: Extracting #8: cost 0 inf + 60677 33.509 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.509 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.509 * * * * [progress]: [ 117 / 197 ] simplifiying candidate # 33.510 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 33.510 * * [simplify]: iters left: 6 (18 enodes) 33.520 * * [simplify]: iters left: 5 (75 enodes) 33.539 * * [simplify]: iters left: 4 (121 enodes) 33.568 * * [simplify]: iters left: 3 (324 enodes) 33.730 * * [simplify]: Extracting #0: cost 1 inf + 0 33.730 * * [simplify]: Extracting #1: cost 53 inf + 0 33.731 * * [simplify]: Extracting #2: cost 117 inf + 1 33.732 * * [simplify]: Extracting #3: cost 165 inf + 401 33.737 * * [simplify]: Extracting #4: cost 136 inf + 12136 33.752 * * [simplify]: Extracting #5: cost 31 inf + 46348 33.778 * * [simplify]: Extracting #6: cost 0 inf + 57454 33.800 * * [simplify]: Extracting #7: cost 0 inf + 57352 33.813 * * [simplify]: Extracting #8: cost 0 inf + 57351 33.824 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.824 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.824 * * * * [progress]: [ 118 / 197 ] simplifiying candidate # 33.824 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 33.824 * * [simplify]: iters left: 6 (17 enodes) 33.829 * * [simplify]: iters left: 5 (72 enodes) 33.842 * * [simplify]: iters left: 4 (119 enodes) 33.895 * * [simplify]: iters left: 3 (314 enodes) 34.080 * * [simplify]: Extracting #0: cost 1 inf + 0 34.081 * * [simplify]: Extracting #1: cost 35 inf + 0 34.081 * * [simplify]: Extracting #2: cost 106 inf + 1 34.082 * * [simplify]: Extracting #3: cost 150 inf + 331 34.086 * * [simplify]: Extracting #4: cost 128 inf + 9031 34.094 * * [simplify]: Extracting #5: cost 15 inf + 44365 34.104 * * [simplify]: Extracting #6: cost 0 inf + 50212 34.121 * * [simplify]: Extracting #7: cost 0 inf + 50196 34.141 * [simplify]: Simplified to (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))) 34.141 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))))) 34.141 * * * * [progress]: [ 119 / 197 ] simplifiying candidate # 34.142 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.142 * * [simplify]: iters left: 6 (16 enodes) 34.151 * * [simplify]: iters left: 5 (67 enodes) 34.172 * * [simplify]: iters left: 4 (106 enodes) 34.212 * * [simplify]: iters left: 3 (247 enodes) 34.322 * * [simplify]: Extracting #0: cost 1 inf + 0 34.322 * * [simplify]: Extracting #1: cost 29 inf + 0 34.322 * * [simplify]: Extracting #2: cost 82 inf + 0 34.323 * * [simplify]: Extracting #3: cost 116 inf + 575 34.324 * * [simplify]: Extracting #4: cost 103 inf + 6299 34.328 * * [simplify]: Extracting #5: cost 33 inf + 25185 34.344 * * [simplify]: Extracting #6: cost 3 inf + 34801 34.359 * * [simplify]: Extracting #7: cost 0 inf + 35420 34.375 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.375 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.376 * * * * [progress]: [ 120 / 197 ] simplifiying candidate # 34.376 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 34.376 * * [simplify]: iters left: 6 (17 enodes) 34.386 * * [simplify]: iters left: 5 (72 enodes) 34.410 * * [simplify]: iters left: 4 (124 enodes) 34.460 * * [simplify]: iters left: 3 (283 enodes) 34.567 * * [simplify]: Extracting #0: cost 1 inf + 0 34.567 * * [simplify]: Extracting #1: cost 31 inf + 0 34.568 * * [simplify]: Extracting #2: cost 118 inf + 1 34.569 * * [simplify]: Extracting #3: cost 160 inf + 261 34.573 * * [simplify]: Extracting #4: cost 133 inf + 9328 34.585 * * [simplify]: Extracting #5: cost 43 inf + 34393 34.603 * * [simplify]: Extracting #6: cost 9 inf + 45459 34.624 * * [simplify]: Extracting #7: cost 0 inf + 48148 34.645 * * [simplify]: Extracting #8: cost 0 inf + 47906 34.656 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.656 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.657 * * * * [progress]: [ 121 / 197 ] simplifiying candidate # 34.657 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 34.657 * * [simplify]: iters left: 6 (17 enodes) 34.663 * * [simplify]: iters left: 5 (73 enodes) 34.679 * * [simplify]: iters left: 4 (114 enodes) 34.724 * * [simplify]: iters left: 3 (265 enodes) 34.876 * * [simplify]: Extracting #0: cost 1 inf + 0 34.877 * * [simplify]: Extracting #1: cost 42 inf + 0 34.877 * * [simplify]: Extracting #2: cost 100 inf + 1 34.878 * * [simplify]: Extracting #3: cost 136 inf + 386 34.881 * * [simplify]: Extracting #4: cost 124 inf + 5458 34.892 * * [simplify]: Extracting #5: cost 38 inf + 29744 34.909 * * [simplify]: Extracting #6: cost 3 inf + 41290 34.931 * * [simplify]: Extracting #7: cost 0 inf + 42504 34.948 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.949 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.949 * * * * [progress]: [ 122 / 197 ] simplifiying candidate # 34.949 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 34.949 * * [simplify]: iters left: 6 (16 enodes) 34.959 * * [simplify]: iters left: 5 (70 enodes) 34.981 * * [simplify]: iters left: 4 (112 enodes) 35.002 * * [simplify]: iters left: 3 (256 enodes) 35.112 * * [simplify]: Extracting #0: cost 1 inf + 0 35.112 * * [simplify]: Extracting #1: cost 31 inf + 0 35.113 * * [simplify]: Extracting #2: cost 94 inf + 1 35.113 * * [simplify]: Extracting #3: cost 133 inf + 314 35.115 * * [simplify]: Extracting #4: cost 118 inf + 5137 35.121 * * [simplify]: Extracting #5: cost 41 inf + 26009 35.139 * * [simplify]: Extracting #6: cost 8 inf + 36688 35.155 * * [simplify]: Extracting #7: cost 1 inf + 39032 35.172 * * [simplify]: Extracting #8: cost 0 inf + 39377 35.183 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 35.183 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 35.184 * * * * [progress]: [ 123 / 197 ] simplifiying candidate # 35.184 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 35.184 * * [simplify]: iters left: 6 (15 enodes) 35.188 * * [simplify]: iters left: 5 (66 enodes) 35.200 * * [simplify]: iters left: 4 (113 enodes) 35.233 * * [simplify]: iters left: 3 (229 enodes) 35.332 * * [simplify]: Extracting #0: cost 1 inf + 0 35.332 * * [simplify]: Extracting #1: cost 23 inf + 0 35.333 * * [simplify]: Extracting #2: cost 83 inf + 0 35.333 * * [simplify]: Extracting #3: cost 122 inf + 130 35.334 * * [simplify]: Extracting #4: cost 122 inf + 3176 35.337 * * [simplify]: Extracting #5: cost 40 inf + 21068 35.344 * * [simplify]: Extracting #6: cost 2 inf + 30658 35.360 * * [simplify]: Extracting #7: cost 0 inf + 30886 35.373 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.373 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.374 * * * * [progress]: [ 124 / 197 ] simplifiying candidate # 35.374 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.374 * * [simplify]: iters left: 6 (16 enodes) 35.381 * * [simplify]: iters left: 5 (71 enodes) 35.394 * * [simplify]: iters left: 4 (131 enodes) 35.428 * * [simplify]: iters left: 3 (262 enodes) 35.535 * * [simplify]: Extracting #0: cost 1 inf + 0 35.535 * * [simplify]: Extracting #1: cost 27 inf + 0 35.536 * * [simplify]: Extracting #2: cost 112 inf + 1 35.537 * * [simplify]: Extracting #3: cost 151 inf + 302 35.539 * * [simplify]: Extracting #4: cost 142 inf + 5480 35.542 * * [simplify]: Extracting #5: cost 72 inf + 21099 35.550 * * [simplify]: Extracting #6: cost 16 inf + 35543 35.561 * * [simplify]: Extracting #7: cost 0 inf + 40340 35.570 * * [simplify]: Extracting #8: cost 0 inf + 40337 35.588 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.588 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.588 * * * * [progress]: [ 125 / 197 ] simplifiying candidate # 35.589 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.589 * * [simplify]: iters left: 6 (16 enodes) 35.599 * * [simplify]: iters left: 5 (72 enodes) 35.622 * * [simplify]: iters left: 4 (121 enodes) 35.666 * * [simplify]: iters left: 3 (247 enodes) 35.755 * * [simplify]: Extracting #0: cost 1 inf + 0 35.755 * * [simplify]: Extracting #1: cost 33 inf + 0 35.756 * * [simplify]: Extracting #2: cost 97 inf + 1 35.756 * * [simplify]: Extracting #3: cost 133 inf + 373 35.757 * * [simplify]: Extracting #4: cost 123 inf + 5352 35.763 * * [simplify]: Extracting #5: cost 38 inf + 24521 35.771 * * [simplify]: Extracting #6: cost 3 inf + 35147 35.778 * * [simplify]: Extracting #7: cost 0 inf + 35848 35.790 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.790 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.790 * * * * [progress]: [ 126 / 197 ] simplifiying candidate # 35.791 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 35.791 * * [simplify]: iters left: 6 (15 enodes) 35.800 * * [simplify]: iters left: 5 (69 enodes) 35.820 * * [simplify]: iters left: 4 (119 enodes) 35.840 * * [simplify]: iters left: 3 (239 enodes) 35.951 * * [simplify]: Extracting #0: cost 1 inf + 0 35.951 * * [simplify]: Extracting #1: cost 25 inf + 0 35.951 * * [simplify]: Extracting #2: cost 94 inf + 1 35.952 * * [simplify]: Extracting #3: cost 132 inf + 273 35.955 * * [simplify]: Extracting #4: cost 115 inf + 6476 35.966 * * [simplify]: Extracting #5: cost 12 inf + 31154 35.984 * * [simplify]: Extracting #6: cost 0 inf + 34674 35.998 * * [simplify]: Extracting #7: cost 0 inf + 34574 36.013 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.013 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.013 * * * * [progress]: [ 127 / 197 ] simplifiying candidate # 36.013 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 36.014 * * [simplify]: iters left: 6 (15 enodes) 36.022 * * [simplify]: iters left: 5 (66 enodes) 36.044 * * [simplify]: iters left: 4 (113 enodes) 36.084 * * [simplify]: iters left: 3 (229 enodes) 36.180 * * [simplify]: Extracting #0: cost 1 inf + 0 36.181 * * [simplify]: Extracting #1: cost 23 inf + 0 36.181 * * [simplify]: Extracting #2: cost 83 inf + 0 36.181 * * [simplify]: Extracting #3: cost 122 inf + 130 36.182 * * [simplify]: Extracting #4: cost 122 inf + 3176 36.185 * * [simplify]: Extracting #5: cost 40 inf + 21068 36.191 * * [simplify]: Extracting #6: cost 2 inf + 30658 36.201 * * [simplify]: Extracting #7: cost 0 inf + 30886 36.215 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.215 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.215 * * * * [progress]: [ 128 / 197 ] simplifiying candidate # 36.216 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 36.216 * * [simplify]: iters left: 6 (16 enodes) 36.229 * * [simplify]: iters left: 5 (71 enodes) 36.253 * * [simplify]: iters left: 4 (131 enodes) 36.290 * * [simplify]: iters left: 3 (262 enodes) 36.403 * * [simplify]: Extracting #0: cost 1 inf + 0 36.404 * * [simplify]: Extracting #1: cost 27 inf + 0 36.404 * * [simplify]: Extracting #2: cost 112 inf + 1 36.404 * * [simplify]: Extracting #3: cost 151 inf + 302 36.406 * * [simplify]: Extracting #4: cost 142 inf + 5480 36.409 * * [simplify]: Extracting #5: cost 72 inf + 21099 36.417 * * [simplify]: Extracting #6: cost 16 inf + 35543 36.426 * * [simplify]: Extracting #7: cost 0 inf + 40340 36.444 * * [simplify]: Extracting #8: cost 0 inf + 40337 36.462 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.462 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.462 * * * * [progress]: [ 129 / 197 ] simplifiying candidate # 36.462 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 36.462 * * [simplify]: iters left: 6 (16 enodes) 36.472 * * [simplify]: iters left: 5 (72 enodes) 36.496 * * [simplify]: iters left: 4 (121 enodes) 36.539 * * [simplify]: iters left: 3 (247 enodes) 36.632 * * [simplify]: Extracting #0: cost 1 inf + 0 36.632 * * [simplify]: Extracting #1: cost 33 inf + 0 36.632 * * [simplify]: Extracting #2: cost 97 inf + 1 36.633 * * [simplify]: Extracting #3: cost 133 inf + 373 36.634 * * [simplify]: Extracting #4: cost 123 inf + 5352 36.638 * * [simplify]: Extracting #5: cost 38 inf + 24521 36.646 * * [simplify]: Extracting #6: cost 3 inf + 35147 36.656 * * [simplify]: Extracting #7: cost 0 inf + 35848 36.666 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.666 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.666 * * * * [progress]: [ 130 / 197 ] simplifiying candidate # 36.666 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 36.667 * * [simplify]: iters left: 6 (15 enodes) 36.675 * * [simplify]: iters left: 5 (69 enodes) 36.695 * * [simplify]: iters left: 4 (119 enodes) 36.732 * * [simplify]: iters left: 3 (239 enodes) 36.843 * * [simplify]: Extracting #0: cost 1 inf + 0 36.843 * * [simplify]: Extracting #1: cost 25 inf + 0 36.843 * * [simplify]: Extracting #2: cost 94 inf + 1 36.844 * * [simplify]: Extracting #3: cost 132 inf + 273 36.847 * * [simplify]: Extracting #4: cost 115 inf + 6476 36.856 * * [simplify]: Extracting #5: cost 12 inf + 31154 36.869 * * [simplify]: Extracting #6: cost 0 inf + 34674 36.878 * * [simplify]: Extracting #7: cost 0 inf + 34574 36.889 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.889 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.889 * * * * [progress]: [ 131 / 197 ] simplifiying candidate # 36.890 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 36.890 * * [simplify]: iters left: 6 (15 enodes) 36.894 * * [simplify]: iters left: 5 (64 enodes) 36.908 * * [simplify]: iters left: 4 (112 enodes) 36.945 * * [simplify]: iters left: 3 (215 enodes) 37.017 * * [simplify]: Extracting #0: cost 1 inf + 0 37.017 * * [simplify]: Extracting #1: cost 24 inf + 0 37.017 * * [simplify]: Extracting #2: cost 109 inf + 0 37.018 * * [simplify]: Extracting #3: cost 173 inf + 4 37.020 * * [simplify]: Extracting #4: cost 159 inf + 2128 37.025 * * [simplify]: Extracting #5: cost 86 inf + 16632 37.038 * * [simplify]: Extracting #6: cost 2 inf + 39628 37.051 * * [simplify]: Extracting #7: cost 0 inf + 39658 37.065 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 37.065 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 37.065 * * * * [progress]: [ 132 / 197 ] simplifiying candidate # 37.065 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 37.065 * * [simplify]: iters left: 6 (16 enodes) 37.075 * * [simplify]: iters left: 5 (69 enodes) 37.100 * * [simplify]: iters left: 4 (129 enodes) 37.128 * * [simplify]: iters left: 3 (250 enodes) 37.207 * * [simplify]: Extracting #0: cost 1 inf + 0 37.207 * * [simplify]: Extracting #1: cost 28 inf + 0 37.207 * * [simplify]: Extracting #2: cost 142 inf + 1 37.208 * * [simplify]: Extracting #3: cost 208 inf + 5 37.209 * * [simplify]: Extracting #4: cost 168 inf + 5893 37.215 * * [simplify]: Extracting #5: cost 44 inf + 35824 37.224 * * [simplify]: Extracting #6: cost 2 inf + 50163 37.232 * * [simplify]: Extracting #7: cost 0 inf + 51246 37.242 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 37.242 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 37.242 * * * * [progress]: [ 133 / 197 ] simplifiying candidate # 37.242 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 37.242 * * [simplify]: iters left: 6 (16 enodes) 37.249 * * [simplify]: iters left: 5 (70 enodes) 37.272 * * [simplify]: iters left: 4 (119 enodes) 37.300 * * [simplify]: iters left: 3 (239 enodes) 37.393 * * [simplify]: Extracting #0: cost 1 inf + 0 37.393 * * [simplify]: Extracting #1: cost 34 inf + 0 37.394 * * [simplify]: Extracting #2: cost 124 inf + 1 37.395 * * [simplify]: Extracting #3: cost 187 inf + 5 37.398 * * [simplify]: Extracting #4: cost 147 inf + 6512 37.405 * * [simplify]: Extracting #5: cost 34 inf + 32936 37.416 * * [simplify]: Extracting #6: cost 0 inf + 45571 37.424 * * [simplify]: Extracting #7: cost 0 inf + 45374 37.432 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 37.432 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 37.432 * * * * [progress]: [ 134 / 197 ] simplifiying candidate # 37.432 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 37.432 * * [simplify]: iters left: 6 (15 enodes) 37.439 * * [simplify]: iters left: 5 (67 enodes) 37.461 * * [simplify]: iters left: 4 (118 enodes) 37.500 * * [simplify]: iters left: 3 (225 enodes) 37.572 * * [simplify]: Extracting #0: cost 1 inf + 0 37.572 * * [simplify]: Extracting #1: cost 26 inf + 0 37.573 * * [simplify]: Extracting #2: cost 121 inf + 1 37.574 * * [simplify]: Extracting #3: cost 186 inf + 5 37.575 * * [simplify]: Extracting #4: cost 155 inf + 4693 37.580 * * [simplify]: Extracting #5: cost 39 inf + 29468 37.587 * * [simplify]: Extracting #6: cost 3 inf + 42209 37.594 * * [simplify]: Extracting #7: cost 0 inf + 44155 37.610 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 37.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 37.610 * * * * [progress]: [ 135 / 197 ] simplifiying candidate # 37.610 * * * * [progress]: [ 136 / 197 ] simplifiying candidate # 37.610 * * * * [progress]: [ 137 / 197 ] simplifiying candidate # 37.611 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 37.611 * * [simplify]: iters left: 6 (19 enodes) 37.625 * * [simplify]: iters left: 5 (80 enodes) 37.640 * * [simplify]: iters left: 4 (188 enodes) 37.726 * * [simplify]: Extracting #0: cost 1 inf + 0 37.726 * * [simplify]: Extracting #1: cost 50 inf + 0 37.727 * * [simplify]: Extracting #2: cost 145 inf + 206 37.727 * * [simplify]: Extracting #3: cost 157 inf + 1393 37.728 * * [simplify]: Extracting #4: cost 146 inf + 2848 37.734 * * [simplify]: Extracting #5: cost 56 inf + 40587 37.743 * * [simplify]: Extracting #6: cost 0 inf + 73945 37.753 * * [simplify]: Extracting #7: cost 0 inf + 73750 37.763 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k) 37.763 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k))) 37.763 * * * * [progress]: [ 138 / 197 ] simplifiying candidate # 37.764 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 37.764 * * [simplify]: iters left: 6 (17 enodes) 37.769 * * [simplify]: iters left: 5 (81 enodes) 37.785 * * [simplify]: iters left: 4 (174 enodes) 37.843 * * [simplify]: iters left: 3 (492 enodes) 38.147 * * [simplify]: Extracting #0: cost 1 inf + 0 38.147 * * [simplify]: Extracting #1: cost 79 inf + 0 38.150 * * [simplify]: Extracting #2: cost 422 inf + 45 38.152 * * [simplify]: Extracting #3: cost 467 inf + 1578 38.155 * * [simplify]: Extracting #4: cost 451 inf + 4029 38.168 * * [simplify]: Extracting #5: cost 241 inf + 124146 38.218 * * [simplify]: Extracting #6: cost 11 inf + 301244 38.298 * * [simplify]: Extracting #7: cost 0 inf + 301839 38.363 * * [simplify]: Extracting #8: cost 0 inf + 300567 38.444 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)) 38.444 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)))) 38.445 * * * * [progress]: [ 139 / 197 ] simplifiying candidate # 38.445 * * * * [progress]: [ 140 / 197 ] simplifiying candidate # 38.445 * * * * [progress]: [ 141 / 197 ] simplifiying candidate # 38.445 * * * * [progress]: [ 142 / 197 ] simplifiying candidate # 38.445 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 38.445 * * [simplify]: iters left: 6 (9 enodes) 38.453 * * [simplify]: iters left: 5 (37 enodes) 38.470 * * [simplify]: iters left: 4 (66 enodes) 38.494 * * [simplify]: iters left: 3 (106 enodes) 38.530 * * [simplify]: iters left: 2 (160 enodes) 38.563 * * [simplify]: iters left: 1 (277 enodes) 38.681 * * [simplify]: Extracting #0: cost 1 inf + 0 38.681 * * [simplify]: Extracting #1: cost 18 inf + 0 38.681 * * [simplify]: Extracting #2: cost 67 inf + 3 38.682 * * [simplify]: Extracting #3: cost 72 inf + 11 38.683 * * [simplify]: Extracting #4: cost 58 inf + 2363 38.687 * * [simplify]: Extracting #5: cost 25 inf + 17516 38.695 * * [simplify]: Extracting #6: cost 1 inf + 34423 38.704 * * [simplify]: Extracting #7: cost 0 inf + 35219 38.713 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 38.713 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 38.713 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 38.713 * * [simplify]: iters left: 6 (10 enodes) 38.718 * * [simplify]: iters left: 5 (38 enodes) 38.731 * * [simplify]: iters left: 4 (62 enodes) 38.750 * * [simplify]: iters left: 3 (104 enodes) 38.788 * * [simplify]: iters left: 2 (207 enodes) 38.850 * * [simplify]: iters left: 1 (463 enodes) 39.190 * * [simplify]: Extracting #0: cost 1 inf + 0 39.190 * * [simplify]: Extracting #1: cost 54 inf + 0 39.191 * * [simplify]: Extracting #2: cost 171 inf + 0 39.192 * * [simplify]: Extracting #3: cost 210 inf + 45 39.193 * * [simplify]: Extracting #4: cost 181 inf + 4887 39.196 * * [simplify]: Extracting #5: cost 140 inf + 13636 39.206 * * [simplify]: Extracting #6: cost 43 inf + 93420 39.224 * * [simplify]: Extracting #7: cost 0 inf + 133565 39.258 * * [simplify]: Extracting #8: cost 0 inf + 131993 39.277 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)) 39.277 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)))) 39.277 * * * * [progress]: [ 143 / 197 ] simplifiying candidate # 39.277 * * * * [progress]: [ 144 / 197 ] simplifiying candidate # 39.277 * [simplify]: Simplifying (sqrt k) 39.277 * * [simplify]: iters left: 1 (2 enodes) 39.278 * * [simplify]: Extracting #0: cost 1 inf + 0 39.278 * * [simplify]: Extracting #1: cost 3 inf + 0 39.278 * * [simplify]: Extracting #2: cost 2 inf + 1 39.278 * * [simplify]: Extracting #3: cost 0 inf + 83 39.278 * [simplify]: Simplified to (sqrt k) 39.278 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 39.278 * * * * [progress]: [ 145 / 197 ] simplifiying candidate # 39.278 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 39.278 * * [simplify]: iters left: 6 (15 enodes) 39.283 * * [simplify]: iters left: 5 (61 enodes) 39.295 * * [simplify]: iters left: 4 (95 enodes) 39.314 * * [simplify]: iters left: 3 (135 enodes) 39.336 * * [simplify]: iters left: 2 (208 enodes) 39.404 * * [simplify]: iters left: 1 (367 enodes) 39.548 * * [simplify]: Extracting #0: cost 1 inf + 0 39.548 * * [simplify]: Extracting #1: cost 4 inf + 0 39.548 * * [simplify]: Extracting #2: cost 9 inf + 0 39.548 * * [simplify]: Extracting #3: cost 40 inf + 0 39.549 * * [simplify]: Extracting #4: cost 123 inf + 2 39.549 * * [simplify]: Extracting #5: cost 149 inf + 428 39.551 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.558 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.567 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.578 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.587 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.596 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.596 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 39.597 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 39.597 * * [simplify]: iters left: 6 (15 enodes) 39.601 * * [simplify]: iters left: 5 (61 enodes) 39.621 * * [simplify]: iters left: 4 (95 enodes) 39.652 * * [simplify]: iters left: 3 (135 enodes) 39.697 * * [simplify]: iters left: 2 (208 enodes) 39.770 * * [simplify]: iters left: 1 (367 enodes) 39.920 * * [simplify]: Extracting #0: cost 1 inf + 0 39.920 * * [simplify]: Extracting #1: cost 4 inf + 0 39.920 * * [simplify]: Extracting #2: cost 9 inf + 0 39.920 * * [simplify]: Extracting #3: cost 40 inf + 0 39.920 * * [simplify]: Extracting #4: cost 123 inf + 2 39.921 * * [simplify]: Extracting #5: cost 149 inf + 428 39.923 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.927 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.935 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.945 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.955 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.964 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.964 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))))) 39.964 * * * * [progress]: [ 146 / 197 ] simplifiying candidate # 39.964 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.964 * * [simplify]: iters left: 6 (16 enodes) 39.970 * * [simplify]: iters left: 5 (66 enodes) 39.987 * * [simplify]: iters left: 4 (106 enodes) 40.025 * * [simplify]: iters left: 3 (151 enodes) 40.071 * * [simplify]: iters left: 2 (225 enodes) 40.127 * * [simplify]: iters left: 1 (378 enodes) 40.254 * * [simplify]: Extracting #0: cost 1 inf + 0 40.254 * * [simplify]: Extracting #1: cost 7 inf + 0 40.255 * * [simplify]: Extracting #2: cost 13 inf + 1 40.255 * * [simplify]: Extracting #3: cost 42 inf + 1 40.255 * * [simplify]: Extracting #4: cost 113 inf + 125 40.256 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.258 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.263 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.277 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.296 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.309 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.309 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 40.309 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.309 * * [simplify]: iters left: 6 (16 enodes) 40.315 * * [simplify]: iters left: 5 (66 enodes) 40.329 * * [simplify]: iters left: 4 (106 enodes) 40.356 * * [simplify]: iters left: 3 (151 enodes) 40.382 * * [simplify]: iters left: 2 (225 enodes) 40.440 * * [simplify]: iters left: 1 (378 enodes) 40.554 * * [simplify]: Extracting #0: cost 1 inf + 0 40.554 * * [simplify]: Extracting #1: cost 7 inf + 0 40.554 * * [simplify]: Extracting #2: cost 13 inf + 1 40.554 * * [simplify]: Extracting #3: cost 42 inf + 1 40.555 * * [simplify]: Extracting #4: cost 113 inf + 125 40.556 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.559 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.564 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.573 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.583 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.595 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.595 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 40.596 * * * * [progress]: [ 147 / 197 ] simplifiying candidate # 40.596 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.596 * * [simplify]: iters left: 6 (16 enodes) 40.601 * * [simplify]: iters left: 5 (66 enodes) 40.612 * * [simplify]: iters left: 4 (106 enodes) 40.629 * * [simplify]: iters left: 3 (151 enodes) 40.652 * * [simplify]: iters left: 2 (225 enodes) 40.696 * * [simplify]: iters left: 1 (378 enodes) 40.797 * * [simplify]: Extracting #0: cost 1 inf + 0 40.797 * * [simplify]: Extracting #1: cost 7 inf + 0 40.797 * * [simplify]: Extracting #2: cost 13 inf + 1 40.797 * * [simplify]: Extracting #3: cost 42 inf + 1 40.797 * * [simplify]: Extracting #4: cost 113 inf + 125 40.798 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.800 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.805 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.814 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.828 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.838 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.838 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 40.838 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.838 * * [simplify]: iters left: 6 (16 enodes) 40.844 * * [simplify]: iters left: 5 (66 enodes) 40.854 * * [simplify]: iters left: 4 (106 enodes) 40.871 * * [simplify]: iters left: 3 (151 enodes) 40.913 * * [simplify]: iters left: 2 (225 enodes) 40.992 * * [simplify]: iters left: 1 (378 enodes) 41.132 * * [simplify]: Extracting #0: cost 1 inf + 0 41.132 * * [simplify]: Extracting #1: cost 7 inf + 0 41.132 * * [simplify]: Extracting #2: cost 13 inf + 1 41.132 * * [simplify]: Extracting #3: cost 42 inf + 1 41.132 * * [simplify]: Extracting #4: cost 113 inf + 125 41.133 * * [simplify]: Extracting #5: cost 140 inf + 1039 41.135 * * [simplify]: Extracting #6: cost 89 inf + 7670 41.543 * * [simplify]: Extracting #7: cost 37 inf + 28450 41.560 * * [simplify]: Extracting #8: cost 2 inf + 56186 41.579 * * [simplify]: Extracting #9: cost 0 inf + 57532 41.598 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.598 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 41.599 * * * * [progress]: [ 148 / 197 ] simplifiying candidate # 41.599 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.599 * * [simplify]: iters left: 6 (15 enodes) 41.607 * * [simplify]: iters left: 5 (63 enodes) 41.617 * * [simplify]: iters left: 4 (101 enodes) 41.633 * * [simplify]: iters left: 3 (147 enodes) 41.662 * * [simplify]: iters left: 2 (218 enodes) 41.732 * * [simplify]: iters left: 1 (379 enodes) 41.845 * * [simplify]: Extracting #0: cost 1 inf + 0 41.845 * * [simplify]: Extracting #1: cost 7 inf + 0 41.845 * * [simplify]: Extracting #2: cost 13 inf + 1 41.845 * * [simplify]: Extracting #3: cost 42 inf + 1 41.846 * * [simplify]: Extracting #4: cost 116 inf + 369 41.847 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.849 * * [simplify]: Extracting #6: cost 72 inf + 13805 41.856 * * [simplify]: Extracting #7: cost 15 inf + 47860 41.870 * * [simplify]: Extracting #8: cost 0 inf + 61860 41.879 * * [simplify]: Extracting #9: cost 0 inf + 60325 41.889 * * [simplify]: Extracting #10: cost 0 inf + 58429 41.906 * * [simplify]: Extracting #11: cost 0 inf + 57511 41.926 * * [simplify]: Extracting #12: cost 0 inf + 57420 41.947 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.947 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 41.947 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.947 * * [simplify]: iters left: 6 (15 enodes) 41.958 * * [simplify]: iters left: 5 (63 enodes) 41.975 * * [simplify]: iters left: 4 (101 enodes) 41.991 * * [simplify]: iters left: 3 (147 enodes) 42.023 * * [simplify]: iters left: 2 (218 enodes) 42.104 * * [simplify]: iters left: 1 (379 enodes) 42.245 * * [simplify]: Extracting #0: cost 1 inf + 0 42.245 * * [simplify]: Extracting #1: cost 7 inf + 0 42.245 * * [simplify]: Extracting #2: cost 13 inf + 1 42.245 * * [simplify]: Extracting #3: cost 42 inf + 1 42.246 * * [simplify]: Extracting #4: cost 116 inf + 369 42.247 * * [simplify]: Extracting #5: cost 131 inf + 1622 42.249 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.256 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.267 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.280 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.297 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.308 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.318 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.335 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.335 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 42.335 * * * * [progress]: [ 149 / 197 ] simplifiying candidate # 42.336 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 42.336 * * [simplify]: iters left: 6 (15 enodes) 42.345 * * [simplify]: iters left: 5 (63 enodes) 42.366 * * [simplify]: iters left: 4 (101 enodes) 42.389 * * [simplify]: iters left: 3 (147 enodes) 42.415 * * [simplify]: iters left: 2 (218 enodes) 42.466 * * [simplify]: iters left: 1 (379 enodes) 42.618 * * [simplify]: Extracting #0: cost 1 inf + 0 42.618 * * [simplify]: Extracting #1: cost 7 inf + 0 42.618 * * [simplify]: Extracting #2: cost 13 inf + 1 42.618 * * [simplify]: Extracting #3: cost 42 inf + 1 42.619 * * [simplify]: Extracting #4: cost 116 inf + 369 42.621 * * [simplify]: Extracting #5: cost 131 inf + 1622 42.626 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.639 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.654 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.665 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.675 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.691 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.712 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.736 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.736 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 42.737 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 42.737 * * [simplify]: iters left: 6 (15 enodes) 42.745 * * [simplify]: iters left: 5 (63 enodes) 42.766 * * [simplify]: iters left: 4 (101 enodes) 42.797 * * [simplify]: iters left: 3 (147 enodes) 42.831 * * [simplify]: iters left: 2 (218 enodes) 42.884 * * [simplify]: iters left: 1 (379 enodes) 43.019 * * [simplify]: Extracting #0: cost 1 inf + 0 43.019 * * [simplify]: Extracting #1: cost 7 inf + 0 43.019 * * [simplify]: Extracting #2: cost 13 inf + 1 43.019 * * [simplify]: Extracting #3: cost 42 inf + 1 43.019 * * [simplify]: Extracting #4: cost 116 inf + 369 43.020 * * [simplify]: Extracting #5: cost 131 inf + 1622 43.023 * * [simplify]: Extracting #6: cost 72 inf + 13805 43.034 * * [simplify]: Extracting #7: cost 15 inf + 47860 43.055 * * [simplify]: Extracting #8: cost 0 inf + 61860 43.065 * * [simplify]: Extracting #9: cost 0 inf + 60325 43.075 * * [simplify]: Extracting #10: cost 0 inf + 58429 43.086 * * [simplify]: Extracting #11: cost 0 inf + 57511 43.100 * * [simplify]: Extracting #12: cost 0 inf + 57420 43.121 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 43.121 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 43.121 * * * * [progress]: [ 150 / 197 ] simplifiying candidate # 43.122 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 43.122 * * [simplify]: iters left: 6 (15 enodes) 43.132 * * [simplify]: iters left: 5 (64 enodes) 43.146 * * [simplify]: iters left: 4 (104 enodes) 43.166 * * [simplify]: iters left: 3 (167 enodes) 43.208 * * [simplify]: iters left: 2 (322 enodes) 43.295 * * [simplify]: Extracting #0: cost 1 inf + 0 43.295 * * [simplify]: Extracting #1: cost 34 inf + 0 43.295 * * [simplify]: Extracting #2: cost 104 inf + 0 43.296 * * [simplify]: Extracting #3: cost 158 inf + 2 43.296 * * [simplify]: Extracting #4: cost 169 inf + 181 43.298 * * [simplify]: Extracting #5: cost 138 inf + 4240 43.300 * * [simplify]: Extracting #6: cost 86 inf + 12902 43.313 * * [simplify]: Extracting #7: cost 20 inf + 56686 43.333 * * [simplify]: Extracting #8: cost 0 inf + 73863 43.353 * * [simplify]: Extracting #9: cost 0 inf + 73230 43.364 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 43.364 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 43.364 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 43.364 * * [simplify]: iters left: 6 (15 enodes) 43.369 * * [simplify]: iters left: 5 (64 enodes) 43.386 * * [simplify]: iters left: 4 (104 enodes) 43.406 * * [simplify]: iters left: 3 (167 enodes) 43.465 * * [simplify]: iters left: 2 (322 enodes) 43.549 * * [simplify]: Extracting #0: cost 1 inf + 0 43.549 * * [simplify]: Extracting #1: cost 34 inf + 0 43.549 * * [simplify]: Extracting #2: cost 104 inf + 0 43.550 * * [simplify]: Extracting #3: cost 158 inf + 2 43.552 * * [simplify]: Extracting #4: cost 169 inf + 181 43.554 * * [simplify]: Extracting #5: cost 138 inf + 4240 43.559 * * [simplify]: Extracting #6: cost 86 inf + 12902 43.574 * * [simplify]: Extracting #7: cost 20 inf + 56686 43.594 * * [simplify]: Extracting #8: cost 0 inf + 73863 43.605 * * [simplify]: Extracting #9: cost 0 inf + 73230 43.615 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 43.616 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 43.616 * * * * [progress]: [ 151 / 197 ] simplifiying candidate # 43.616 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.616 * * [simplify]: iters left: 6 (16 enodes) 43.621 * * [simplify]: iters left: 5 (69 enodes) 43.637 * * [simplify]: iters left: 4 (113 enodes) 43.677 * * [simplify]: iters left: 3 (191 enodes) 43.728 * * [simplify]: iters left: 2 (381 enodes) 43.853 * * [simplify]: Extracting #0: cost 1 inf + 0 43.854 * * [simplify]: Extracting #1: cost 36 inf + 0 43.854 * * [simplify]: Extracting #2: cost 108 inf + 1 43.854 * * [simplify]: Extracting #3: cost 166 inf + 2 43.855 * * [simplify]: Extracting #4: cost 168 inf + 639 43.857 * * [simplify]: Extracting #5: cost 117 inf + 7263 43.863 * * [simplify]: Extracting #6: cost 47 inf + 36706 43.874 * * [simplify]: Extracting #7: cost 3 inf + 72435 43.888 * * [simplify]: Extracting #8: cost 0 inf + 75548 43.911 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.911 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 43.912 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.912 * * [simplify]: iters left: 6 (16 enodes) 43.922 * * [simplify]: iters left: 5 (69 enodes) 43.940 * * [simplify]: iters left: 4 (113 enodes) 43.961 * * [simplify]: iters left: 3 (191 enodes) 44.011 * * [simplify]: iters left: 2 (381 enodes) 44.146 * * [simplify]: Extracting #0: cost 1 inf + 0 44.146 * * [simplify]: Extracting #1: cost 36 inf + 0 44.146 * * [simplify]: Extracting #2: cost 108 inf + 1 44.147 * * [simplify]: Extracting #3: cost 166 inf + 2 44.149 * * [simplify]: Extracting #4: cost 168 inf + 639 44.152 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.163 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.185 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.208 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.231 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.232 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.232 * * * * [progress]: [ 152 / 197 ] simplifiying candidate # 44.232 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 44.232 * * [simplify]: iters left: 6 (16 enodes) 44.242 * * [simplify]: iters left: 5 (69 enodes) 44.265 * * [simplify]: iters left: 4 (113 enodes) 44.294 * * [simplify]: iters left: 3 (191 enodes) 44.337 * * [simplify]: iters left: 2 (381 enodes) 44.492 * * [simplify]: Extracting #0: cost 1 inf + 0 44.492 * * [simplify]: Extracting #1: cost 36 inf + 0 44.493 * * [simplify]: Extracting #2: cost 108 inf + 1 44.494 * * [simplify]: Extracting #3: cost 166 inf + 2 44.495 * * [simplify]: Extracting #4: cost 168 inf + 639 44.499 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.510 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.532 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.554 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.579 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.579 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 44.579 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 44.580 * * [simplify]: iters left: 6 (16 enodes) 44.590 * * [simplify]: iters left: 5 (69 enodes) 44.615 * * [simplify]: iters left: 4 (113 enodes) 44.636 * * [simplify]: iters left: 3 (191 enodes) 44.700 * * [simplify]: iters left: 2 (381 enodes) 44.816 * * [simplify]: Extracting #0: cost 1 inf + 0 44.816 * * [simplify]: Extracting #1: cost 36 inf + 0 44.817 * * [simplify]: Extracting #2: cost 108 inf + 1 44.818 * * [simplify]: Extracting #3: cost 166 inf + 2 44.819 * * [simplify]: Extracting #4: cost 168 inf + 639 44.823 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.835 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.853 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.865 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.876 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.877 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.877 * * * * [progress]: [ 153 / 197 ] simplifiying candidate # 44.877 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.877 * * [simplify]: iters left: 6 (15 enodes) 44.881 * * [simplify]: iters left: 5 (66 enodes) 44.898 * * [simplify]: iters left: 4 (112 enodes) 44.919 * * [simplify]: iters left: 3 (196 enodes) 44.998 * * [simplify]: iters left: 2 (392 enodes) 45.143 * * [simplify]: Extracting #0: cost 1 inf + 0 45.143 * * [simplify]: Extracting #1: cost 39 inf + 0 45.144 * * [simplify]: Extracting #2: cost 125 inf + 1 45.145 * * [simplify]: Extracting #3: cost 179 inf + 3 45.146 * * [simplify]: Extracting #4: cost 182 inf + 432 45.148 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.154 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.170 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.184 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.198 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.198 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 45.198 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.198 * * [simplify]: iters left: 6 (15 enodes) 45.203 * * [simplify]: iters left: 5 (66 enodes) 45.216 * * [simplify]: iters left: 4 (112 enodes) 45.255 * * [simplify]: iters left: 3 (196 enodes) 45.315 * * [simplify]: iters left: 2 (392 enodes) 45.490 * * [simplify]: Extracting #0: cost 1 inf + 0 45.490 * * [simplify]: Extracting #1: cost 39 inf + 0 45.491 * * [simplify]: Extracting #2: cost 125 inf + 1 45.492 * * [simplify]: Extracting #3: cost 179 inf + 3 45.494 * * [simplify]: Extracting #4: cost 182 inf + 432 45.498 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.509 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.532 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.546 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.560 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.560 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 45.560 * * * * [progress]: [ 154 / 197 ] simplifiying candidate # 45.560 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.560 * * [simplify]: iters left: 6 (15 enodes) 45.565 * * [simplify]: iters left: 5 (66 enodes) 45.590 * * [simplify]: iters left: 4 (112 enodes) 45.628 * * [simplify]: iters left: 3 (196 enodes) 45.712 * * [simplify]: iters left: 2 (392 enodes) 45.853 * * [simplify]: Extracting #0: cost 1 inf + 0 45.853 * * [simplify]: Extracting #1: cost 39 inf + 0 45.854 * * [simplify]: Extracting #2: cost 125 inf + 1 45.855 * * [simplify]: Extracting #3: cost 179 inf + 3 45.857 * * [simplify]: Extracting #4: cost 182 inf + 432 45.861 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.873 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.903 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.931 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.959 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.959 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 45.959 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.960 * * [simplify]: iters left: 6 (15 enodes) 45.969 * * [simplify]: iters left: 5 (66 enodes) 45.983 * * [simplify]: iters left: 4 (112 enodes) 46.002 * * [simplify]: iters left: 3 (196 enodes) 46.075 * * [simplify]: iters left: 2 (392 enodes) 46.249 * * [simplify]: Extracting #0: cost 1 inf + 0 46.249 * * [simplify]: Extracting #1: cost 39 inf + 0 46.250 * * [simplify]: Extracting #2: cost 125 inf + 1 46.251 * * [simplify]: Extracting #3: cost 179 inf + 3 46.251 * * [simplify]: Extracting #4: cost 182 inf + 432 46.253 * * [simplify]: Extracting #5: cost 135 inf + 7467 46.259 * * [simplify]: Extracting #6: cost 58 inf + 40786 46.273 * * [simplify]: Extracting #7: cost 2 inf + 84070 46.300 * * [simplify]: Extracting #8: cost 0 inf + 84912 46.328 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 46.328 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 46.328 * * * * [progress]: [ 155 / 197 ] simplifiying candidate # 46.328 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 46.328 * * [simplify]: iters left: 4 (5 enodes) 46.331 * * [simplify]: iters left: 3 (17 enodes) 46.340 * * [simplify]: iters left: 2 (19 enodes) 46.346 * * [simplify]: Extracting #0: cost 1 inf + 0 46.346 * * [simplify]: Extracting #1: cost 3 inf + 0 46.346 * * [simplify]: Extracting #2: cost 6 inf + 0 46.346 * * [simplify]: Extracting #3: cost 7 inf + 1 46.346 * * [simplify]: Extracting #4: cost 0 inf + 572 46.346 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 46.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 46.347 * * * * [progress]: [ 156 / 197 ] simplifiying candidate # 46.347 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 46.347 * * [simplify]: iters left: 4 (5 enodes) 46.350 * * [simplify]: iters left: 3 (17 enodes) 46.355 * * [simplify]: iters left: 2 (19 enodes) 46.358 * * [simplify]: Extracting #0: cost 1 inf + 0 46.358 * * [simplify]: Extracting #1: cost 3 inf + 0 46.358 * * [simplify]: Extracting #2: cost 6 inf + 0 46.358 * * [simplify]: Extracting #3: cost 7 inf + 1 46.358 * * [simplify]: Extracting #4: cost 0 inf + 492 46.358 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 46.358 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 46.358 * * * * [progress]: [ 157 / 197 ] simplifiying candidate # 46.358 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 46.358 * * [simplify]: iters left: 4 (6 enodes) 46.360 * * [simplify]: iters left: 3 (20 enodes) 46.363 * * [simplify]: iters left: 2 (22 enodes) 46.366 * * [simplify]: Extracting #0: cost 1 inf + 0 46.366 * * [simplify]: Extracting #1: cost 4 inf + 0 46.366 * * [simplify]: Extracting #2: cost 5 inf + 1 46.366 * * [simplify]: Extracting #3: cost 7 inf + 1 46.366 * * [simplify]: Extracting #4: cost 1 inf + 488 46.367 * * [simplify]: Extracting #5: cost 0 inf + 650 46.367 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.367 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.367 * * * * [progress]: [ 158 / 197 ] simplifiying candidate # 46.367 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 46.367 * * [simplify]: iters left: 4 (6 enodes) 46.369 * * [simplify]: iters left: 3 (20 enodes) 46.372 * * [simplify]: iters left: 2 (22 enodes) 46.375 * * [simplify]: Extracting #0: cost 1 inf + 0 46.375 * * [simplify]: Extracting #1: cost 4 inf + 0 46.375 * * [simplify]: Extracting #2: cost 5 inf + 1 46.375 * * [simplify]: Extracting #3: cost 7 inf + 1 46.375 * * [simplify]: Extracting #4: cost 1 inf + 568 46.375 * * [simplify]: Extracting #5: cost 0 inf + 730 46.376 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.376 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.376 * * * * [progress]: [ 159 / 197 ] simplifiying candidate # 46.376 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 46.376 * * [simplify]: iters left: 4 (6 enodes) 46.378 * * [simplify]: iters left: 3 (20 enodes) 46.382 * * [simplify]: iters left: 2 (22 enodes) 46.385 * * [simplify]: Extracting #0: cost 1 inf + 0 46.385 * * [simplify]: Extracting #1: cost 4 inf + 0 46.385 * * [simplify]: Extracting #2: cost 5 inf + 1 46.385 * * [simplify]: Extracting #3: cost 7 inf + 1 46.385 * * [simplify]: Extracting #4: cost 1 inf + 368 46.385 * * [simplify]: Extracting #5: cost 0 inf + 490 46.385 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.385 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.385 * * * * [progress]: [ 160 / 197 ] simplifiying candidate # 46.385 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 46.385 * * [simplify]: iters left: 3 (5 enodes) 46.388 * * [simplify]: iters left: 2 (17 enodes) 46.390 * * [simplify]: iters left: 1 (19 enodes) 46.393 * * [simplify]: Extracting #0: cost 1 inf + 0 46.393 * * [simplify]: Extracting #1: cost 4 inf + 0 46.393 * * [simplify]: Extracting #2: cost 5 inf + 1 46.393 * * [simplify]: Extracting #3: cost 0 inf + 248 46.393 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.393 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k)))) 46.393 * * * * [progress]: [ 161 / 197 ] simplifiying candidate # 46.394 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 46.394 * * [simplify]: iters left: 4 (6 enodes) 46.396 * * [simplify]: iters left: 3 (20 enodes) 46.399 * * [simplify]: iters left: 2 (22 enodes) 46.402 * * [simplify]: Extracting #0: cost 1 inf + 0 46.402 * * [simplify]: Extracting #1: cost 4 inf + 0 46.402 * * [simplify]: Extracting #2: cost 5 inf + 1 46.402 * * [simplify]: Extracting #3: cost 7 inf + 1 46.402 * * [simplify]: Extracting #4: cost 1 inf + 368 46.402 * * [simplify]: Extracting #5: cost 0 inf + 490 46.402 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.402 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.402 * * * * [progress]: [ 162 / 197 ] simplifiying candidate # 46.403 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 46.403 * * [simplify]: iters left: 3 (5 enodes) 46.405 * * [simplify]: iters left: 2 (17 enodes) 46.408 * * [simplify]: iters left: 1 (19 enodes) 46.410 * * [simplify]: Extracting #0: cost 1 inf + 0 46.410 * * [simplify]: Extracting #1: cost 4 inf + 0 46.410 * * [simplify]: Extracting #2: cost 5 inf + 1 46.411 * * [simplify]: Extracting #3: cost 0 inf + 248 46.411 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k)))) 46.411 * * * * [progress]: [ 163 / 197 ] simplifiying candidate # 46.411 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 46.411 * * [simplify]: iters left: 4 (6 enodes) 46.413 * * [simplify]: iters left: 3 (20 enodes) 46.416 * * [simplify]: iters left: 2 (22 enodes) 46.420 * * [simplify]: Extracting #0: cost 1 inf + 0 46.420 * * [simplify]: Extracting #1: cost 4 inf + 0 46.420 * * [simplify]: Extracting #2: cost 5 inf + 1 46.420 * * [simplify]: Extracting #3: cost 7 inf + 1 46.420 * * [simplify]: Extracting #4: cost 1 inf + 488 46.420 * * [simplify]: Extracting #5: cost 0 inf + 650 46.420 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.420 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.421 * * * * [progress]: [ 164 / 197 ] simplifiying candidate # 46.421 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 46.421 * * [simplify]: iters left: 4 (6 enodes) 46.425 * * [simplify]: iters left: 3 (20 enodes) 46.431 * * [simplify]: iters left: 2 (22 enodes) 46.439 * * [simplify]: Extracting #0: cost 1 inf + 0 46.439 * * [simplify]: Extracting #1: cost 4 inf + 0 46.439 * * [simplify]: Extracting #2: cost 5 inf + 1 46.439 * * [simplify]: Extracting #3: cost 7 inf + 1 46.439 * * [simplify]: Extracting #4: cost 1 inf + 568 46.439 * * [simplify]: Extracting #5: cost 0 inf + 730 46.440 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.440 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.440 * * * * [progress]: [ 165 / 197 ] simplifiying candidate # 46.440 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 46.440 * * [simplify]: iters left: 4 (6 enodes) 46.442 * * [simplify]: iters left: 3 (20 enodes) 46.445 * * [simplify]: iters left: 2 (22 enodes) 46.448 * * [simplify]: Extracting #0: cost 1 inf + 0 46.448 * * [simplify]: Extracting #1: cost 4 inf + 0 46.448 * * [simplify]: Extracting #2: cost 5 inf + 1 46.448 * * [simplify]: Extracting #3: cost 7 inf + 1 46.448 * * [simplify]: Extracting #4: cost 1 inf + 368 46.448 * * [simplify]: Extracting #5: cost 0 inf + 490 46.448 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.449 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.449 * * * * [progress]: [ 166 / 197 ] simplifiying candidate # 46.449 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 46.449 * * [simplify]: iters left: 3 (5 enodes) 46.451 * * [simplify]: iters left: 2 (17 enodes) 46.454 * * [simplify]: iters left: 1 (19 enodes) 46.457 * * [simplify]: Extracting #0: cost 1 inf + 0 46.457 * * [simplify]: Extracting #1: cost 4 inf + 0 46.457 * * [simplify]: Extracting #2: cost 5 inf + 1 46.457 * * [simplify]: Extracting #3: cost 0 inf + 248 46.457 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.457 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k)))) 46.457 * * * * [progress]: [ 167 / 197 ] simplifiying candidate # 46.457 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 46.457 * * [simplify]: iters left: 4 (6 enodes) 46.459 * * [simplify]: iters left: 3 (20 enodes) 46.462 * * [simplify]: iters left: 2 (22 enodes) 46.466 * * [simplify]: Extracting #0: cost 1 inf + 0 46.466 * * [simplify]: Extracting #1: cost 4 inf + 0 46.466 * * [simplify]: Extracting #2: cost 5 inf + 1 46.466 * * [simplify]: Extracting #3: cost 7 inf + 1 46.466 * * [simplify]: Extracting #4: cost 1 inf + 368 46.466 * * [simplify]: Extracting #5: cost 0 inf + 490 46.466 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.466 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.466 * * * * [progress]: [ 168 / 197 ] simplifiying candidate # 46.466 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 46.466 * * [simplify]: iters left: 3 (5 enodes) 46.469 * * [simplify]: iters left: 2 (17 enodes) 46.472 * * [simplify]: iters left: 1 (19 enodes) 46.474 * * [simplify]: Extracting #0: cost 1 inf + 0 46.474 * * [simplify]: Extracting #1: cost 4 inf + 0 46.475 * * [simplify]: Extracting #2: cost 5 inf + 1 46.475 * * [simplify]: Extracting #3: cost 0 inf + 248 46.475 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.475 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k)))) 46.475 * * * * [progress]: [ 169 / 197 ] simplifiying candidate # 46.475 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 46.475 * * [simplify]: iters left: 4 (5 enodes) 46.478 * * [simplify]: iters left: 3 (17 enodes) 46.483 * * [simplify]: iters left: 2 (19 enodes) 46.489 * * [simplify]: Extracting #0: cost 1 inf + 0 46.489 * * [simplify]: Extracting #1: cost 4 inf + 0 46.489 * * [simplify]: Extracting #2: cost 5 inf + 1 46.489 * * [simplify]: Extracting #3: cost 7 inf + 1 46.490 * * [simplify]: Extracting #4: cost 0 inf + 650 46.490 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.490 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.490 * * * * [progress]: [ 170 / 197 ] simplifiying candidate # 46.491 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 46.491 * * [simplify]: iters left: 4 (5 enodes) 46.494 * * [simplify]: iters left: 3 (17 enodes) 46.499 * * [simplify]: iters left: 2 (19 enodes) 46.505 * * [simplify]: Extracting #0: cost 1 inf + 0 46.505 * * [simplify]: Extracting #1: cost 4 inf + 0 46.505 * * [simplify]: Extracting #2: cost 5 inf + 1 46.506 * * [simplify]: Extracting #3: cost 7 inf + 1 46.506 * * [simplify]: Extracting #4: cost 0 inf + 730 46.506 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.506 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.506 * * * * [progress]: [ 171 / 197 ] simplifiying candidate # 46.506 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 46.507 * * [simplify]: iters left: 4 (5 enodes) 46.509 * * [simplify]: iters left: 3 (17 enodes) 46.515 * * [simplify]: iters left: 2 (19 enodes) 46.521 * * [simplify]: Extracting #0: cost 1 inf + 0 46.521 * * [simplify]: Extracting #1: cost 4 inf + 0 46.521 * * [simplify]: Extracting #2: cost 5 inf + 1 46.521 * * [simplify]: Extracting #3: cost 7 inf + 1 46.521 * * [simplify]: Extracting #4: cost 0 inf + 490 46.522 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.522 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.522 * * * * [progress]: [ 172 / 197 ] simplifiying candidate # 46.522 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.522 * * [simplify]: iters left: 3 (4 enodes) 46.525 * * [simplify]: iters left: 2 (14 enodes) 46.530 * * [simplify]: iters left: 1 (16 enodes) 46.532 * * [simplify]: Extracting #0: cost 1 inf + 0 46.533 * * [simplify]: Extracting #1: cost 4 inf + 0 46.533 * * [simplify]: Extracting #2: cost 5 inf + 1 46.533 * * [simplify]: Extracting #3: cost 3 inf + 43 46.533 * * [simplify]: Extracting #4: cost 1 inf + 166 46.533 * * [simplify]: Extracting #5: cost 0 inf + 248 46.533 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.533 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k)))) 46.533 * * * * [progress]: [ 173 / 197 ] simplifiying candidate # 46.533 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 46.533 * * [simplify]: iters left: 4 (5 enodes) 46.535 * * [simplify]: iters left: 3 (17 enodes) 46.537 * * [simplify]: iters left: 2 (19 enodes) 46.541 * * [simplify]: Extracting #0: cost 1 inf + 0 46.541 * * [simplify]: Extracting #1: cost 4 inf + 0 46.541 * * [simplify]: Extracting #2: cost 5 inf + 1 46.541 * * [simplify]: Extracting #3: cost 7 inf + 1 46.541 * * [simplify]: Extracting #4: cost 0 inf + 490 46.541 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.541 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.541 * * * * [progress]: [ 174 / 197 ] simplifiying candidate # 46.541 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.541 * * [simplify]: iters left: 3 (4 enodes) 46.542 * * [simplify]: iters left: 2 (14 enodes) 46.545 * * [simplify]: iters left: 1 (16 enodes) 46.547 * * [simplify]: Extracting #0: cost 1 inf + 0 46.547 * * [simplify]: Extracting #1: cost 4 inf + 0 46.547 * * [simplify]: Extracting #2: cost 5 inf + 1 46.548 * * [simplify]: Extracting #3: cost 3 inf + 43 46.548 * * [simplify]: Extracting #4: cost 1 inf + 166 46.548 * * [simplify]: Extracting #5: cost 0 inf + 248 46.548 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.548 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k)))) 46.548 * * * * [progress]: [ 175 / 197 ] simplifiying candidate # 46.548 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.548 * * [simplify]: iters left: 3 (4 enodes) 46.549 * * [simplify]: iters left: 2 (14 enodes) 46.553 * * [simplify]: iters left: 1 (16 enodes) 46.556 * * [simplify]: Extracting #0: cost 1 inf + 0 46.556 * * [simplify]: Extracting #1: cost 4 inf + 0 46.556 * * [simplify]: Extracting #2: cost 5 inf + 1 46.556 * * [simplify]: Extracting #3: cost 3 inf + 43 46.556 * * [simplify]: Extracting #4: cost 1 inf + 166 46.556 * * [simplify]: Extracting #5: cost 0 inf + 248 46.556 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.556 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 46.556 * * * * [progress]: [ 176 / 197 ] simplifiying candidate # 46.556 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.557 * * [simplify]: iters left: 3 (4 enodes) 46.558 * * [simplify]: iters left: 2 (14 enodes) 46.560 * * [simplify]: iters left: 1 (16 enodes) 46.563 * * [simplify]: Extracting #0: cost 1 inf + 0 46.563 * * [simplify]: Extracting #1: cost 4 inf + 0 46.563 * * [simplify]: Extracting #2: cost 5 inf + 1 46.563 * * [simplify]: Extracting #3: cost 3 inf + 43 46.563 * * [simplify]: Extracting #4: cost 1 inf + 166 46.563 * * [simplify]: Extracting #5: cost 0 inf + 248 46.563 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.563 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 46.563 * * * * [progress]: [ 177 / 197 ] simplifiying candidate # 46.564 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 46.564 * * [simplify]: iters left: 5 (7 enodes) 46.566 * * [simplify]: iters left: 4 (32 enodes) 46.573 * * [simplify]: iters left: 3 (57 enodes) 46.588 * * [simplify]: iters left: 2 (88 enodes) 46.615 * * [simplify]: iters left: 1 (156 enodes) 46.657 * * [simplify]: Extracting #0: cost 1 inf + 0 46.657 * * [simplify]: Extracting #1: cost 13 inf + 0 46.657 * * [simplify]: Extracting #2: cost 49 inf + 2 46.658 * * [simplify]: Extracting #3: cost 80 inf + 6 46.658 * * [simplify]: Extracting #4: cost 58 inf + 1840 46.661 * * [simplify]: Extracting #5: cost 22 inf + 9206 46.667 * * [simplify]: Extracting #6: cost 1 inf + 20886 46.673 * * [simplify]: Extracting #7: cost 0 inf + 21301 46.679 * * [simplify]: Extracting #8: cost 0 inf + 21130 46.684 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 46.685 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 46.685 * * * * [progress]: [ 178 / 197 ] simplifiying candidate # 46.685 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 46.685 * * [simplify]: iters left: 6 (12 enodes) 46.692 * * [simplify]: iters left: 5 (51 enodes) 46.709 * * [simplify]: iters left: 4 (84 enodes) 46.736 * * [simplify]: iters left: 3 (125 enodes) 46.776 * * [simplify]: iters left: 2 (198 enodes) 46.847 * * [simplify]: iters left: 1 (353 enodes) 47.011 * * [simplify]: Extracting #0: cost 1 inf + 0 47.011 * * [simplify]: Extracting #1: cost 3 inf + 0 47.011 * * [simplify]: Extracting #2: cost 5 inf + 0 47.011 * * [simplify]: Extracting #3: cost 28 inf + 0 47.012 * * [simplify]: Extracting #4: cost 101 inf + 1 47.013 * * [simplify]: Extracting #5: cost 136 inf + 176 47.018 * * [simplify]: Extracting #6: cost 126 inf + 1348 47.022 * * [simplify]: Extracting #7: cost 70 inf + 12457 47.033 * * [simplify]: Extracting #8: cost 19 inf + 42176 47.043 * * [simplify]: Extracting #9: cost 0 inf + 57297 47.052 * * [simplify]: Extracting #10: cost 0 inf + 56855 47.066 * * [simplify]: Extracting #11: cost 0 inf + 56816 47.085 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 47.085 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 47.086 * * * * [progress]: [ 179 / 197 ] simplifiying candidate # 47.087 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 47.087 * * [simplify]: iters left: 6 (11 enodes) 47.093 * * [simplify]: iters left: 5 (48 enodes) 47.102 * * [simplify]: iters left: 4 (78 enodes) 47.115 * * [simplify]: iters left: 3 (120 enodes) 47.148 * * [simplify]: iters left: 2 (211 enodes) 47.197 * * [simplify]: iters left: 1 (380 enodes) 47.334 * * [simplify]: Extracting #0: cost 1 inf + 0 47.334 * * [simplify]: Extracting #1: cost 4 inf + 0 47.334 * * [simplify]: Extracting #2: cost 29 inf + 0 47.335 * * [simplify]: Extracting #3: cost 113 inf + 1 47.336 * * [simplify]: Extracting #4: cost 155 inf + 220 47.338 * * [simplify]: Extracting #5: cost 153 inf + 561 47.340 * * [simplify]: Extracting #6: cost 121 inf + 2833 47.345 * * [simplify]: Extracting #7: cost 68 inf + 14038 47.357 * * [simplify]: Extracting #8: cost 15 inf + 50044 47.368 * * [simplify]: Extracting #9: cost 0 inf + 59395 47.378 * * [simplify]: Extracting #10: cost 0 inf + 59194 47.398 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 47.398 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 47.398 * * * * [progress]: [ 180 / 197 ] simplifiying candidate # 47.399 * * * * [progress]: [ 181 / 197 ] simplifiying candidate # 47.399 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 47.399 * * [simplify]: iters left: 6 (11 enodes) 47.404 * * [simplify]: iters left: 5 (51 enodes) 47.416 * * [simplify]: iters left: 4 (87 enodes) 47.431 * * [simplify]: iters left: 3 (143 enodes) 47.457 * * [simplify]: iters left: 2 (259 enodes) 47.524 * * [simplify]: iters left: 1 (469 enodes) 47.779 * * [simplify]: Extracting #0: cost 1 inf + 0 47.779 * * [simplify]: Extracting #1: cost 24 inf + 0 47.780 * * [simplify]: Extracting #2: cost 110 inf + 1 47.781 * * [simplify]: Extracting #3: cost 192 inf + 178 47.784 * * [simplify]: Extracting #4: cost 178 inf + 1845 47.790 * * [simplify]: Extracting #5: cost 89 inf + 12477 47.802 * * [simplify]: Extracting #6: cost 41 inf + 28219 47.821 * * [simplify]: Extracting #7: cost 4 inf + 58625 47.846 * * [simplify]: Extracting #8: cost 0 inf + 62670 47.866 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 47.867 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))))) 47.867 * * * * [progress]: [ 182 / 197 ] simplifiying candidate # 47.867 * [simplify]: Simplifying (sqrt k) 47.867 * * [simplify]: iters left: 1 (2 enodes) 47.868 * * [simplify]: Extracting #0: cost 1 inf + 0 47.868 * * [simplify]: Extracting #1: cost 3 inf + 0 47.868 * * [simplify]: Extracting #2: cost 2 inf + 1 47.868 * * [simplify]: Extracting #3: cost 0 inf + 83 47.868 * [simplify]: Simplified to (sqrt k) 47.868 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 47.869 * * * * [progress]: [ 183 / 197 ] simplifiying candidate # 47.869 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 47.869 * * [simplify]: iters left: 6 (12 enodes) 47.877 * * [simplify]: iters left: 5 (50 enodes) 47.896 * * [simplify]: iters left: 4 (88 enodes) 47.932 * * [simplify]: iters left: 3 (169 enodes) 47.988 * * [simplify]: iters left: 2 (291 enodes) 48.094 * * [simplify]: Extracting #0: cost 1 inf + 0 48.094 * * [simplify]: Extracting #1: cost 31 inf + 0 48.095 * * [simplify]: Extracting #2: cost 95 inf + 1 48.096 * * [simplify]: Extracting #3: cost 95 inf + 50 48.097 * * [simplify]: Extracting #4: cost 85 inf + 844 48.101 * * [simplify]: Extracting #5: cost 34 inf + 22508 48.113 * * [simplify]: Extracting #6: cost 0 inf + 45097 48.126 * * [simplify]: Extracting #7: cost 0 inf + 44362 48.139 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 48.139 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 48.139 * * * * [progress]: [ 184 / 197 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 48.139 * * * * [progress]: [ 185 / 197 ] simplifiying candidate # 48.139 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 48.140 * [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))))) 48.140 * * [simplify]: iters left: 6 (37 enodes) 48.162 * * [simplify]: iters left: 5 (190 enodes) 48.210 * * [simplify]: Extracting #0: cost 1 inf + 0 48.211 * * [simplify]: Extracting #1: cost 22 inf + 0 48.211 * * [simplify]: Extracting #2: cost 108 inf + 1 48.212 * * [simplify]: Extracting #3: cost 171 inf + 46 48.213 * * [simplify]: Extracting #4: cost 189 inf + 427 48.218 * * [simplify]: Extracting #5: cost 128 inf + 16032 48.226 * * [simplify]: Extracting #6: cost 29 inf + 57153 48.240 * * [simplify]: Extracting #7: cost 4 inf + 75884 48.264 * * [simplify]: Extracting #8: cost 0 inf + 78767 48.280 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 48.280 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (/ 1 (sqrt k)))) 48.281 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 48.281 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 48.281 * * [simplify]: iters left: 6 (15 enodes) 48.286 * * [simplify]: iters left: 5 (65 enodes) 48.301 * * [simplify]: iters left: 4 (123 enodes) 48.332 * * [simplify]: iters left: 3 (367 enodes) 48.569 * * [simplify]: Extracting #0: cost 1 inf + 0 48.569 * * [simplify]: Extracting #1: cost 37 inf + 0 48.570 * * [simplify]: Extracting #2: cost 216 inf + 72 48.573 * * [simplify]: Extracting #3: cost 356 inf + 1622 48.582 * * [simplify]: Extracting #4: cost 219 inf + 28945 48.605 * * [simplify]: Extracting #5: cost 21 inf + 83197 48.621 * * [simplify]: Extracting #6: cost 0 inf + 89881 48.649 * * [simplify]: Extracting #7: cost 0 inf + 89729 48.680 * * [simplify]: Extracting #8: cost 0 inf + 89726 48.696 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 48.696 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 48.696 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 48.696 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 48.696 * * [simplify]: iters left: 6 (16 enodes) 48.703 * * [simplify]: iters left: 5 (67 enodes) 48.724 * * [simplify]: iters left: 4 (134 enodes) 48.770 * * [simplify]: iters left: 3 (413 enodes) 48.974 * * [simplify]: Extracting #0: cost 1 inf + 0 48.974 * * [simplify]: Extracting #1: cost 39 inf + 0 48.974 * * [simplify]: Extracting #2: cost 241 inf + 72 48.976 * * [simplify]: Extracting #3: cost 450 inf + 903 48.979 * * [simplify]: Extracting #4: cost 376 inf + 10375 48.989 * * [simplify]: Extracting #5: cost 158 inf + 67083 49.021 * * [simplify]: Extracting #6: cost 12 inf + 118840 49.066 * * [simplify]: Extracting #7: cost 0 inf + 121984 49.100 * * [simplify]: Extracting #8: cost 0 inf + 121983 49.132 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 49.132 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k)))) 49.132 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 49.132 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 49.132 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 49.132 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 49.133 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 49.133 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 49.133 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 49.133 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 49.133 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 49.133 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 49.134 * [simplify]: Simplifying (* 2 (* n PI)) 49.134 * * [simplify]: iters left: 4 (5 enodes) 49.137 * * [simplify]: iters left: 3 (19 enodes) 49.143 * * [simplify]: iters left: 2 (27 enodes) 49.151 * * [simplify]: iters left: 1 (32 enodes) 49.159 * * [simplify]: Extracting #0: cost 1 inf + 0 49.159 * * [simplify]: Extracting #1: cost 8 inf + 0 49.159 * * [simplify]: Extracting #2: cost 7 inf + 45 49.160 * * [simplify]: Extracting #3: cost 0 inf + 421 49.160 * [simplify]: Simplified to (* (* PI n) 2) 49.160 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 49.160 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 49.160 * [simplify]: Simplifying (* 2 (* n PI)) 49.161 * * [simplify]: iters left: 4 (5 enodes) 49.163 * * [simplify]: iters left: 3 (19 enodes) 49.170 * * [simplify]: iters left: 2 (27 enodes) 49.178 * * [simplify]: iters left: 1 (32 enodes) 49.187 * * [simplify]: Extracting #0: cost 1 inf + 0 49.187 * * [simplify]: Extracting #1: cost 8 inf + 0 49.187 * * [simplify]: Extracting #2: cost 7 inf + 45 49.187 * * [simplify]: Extracting #3: cost 0 inf + 421 49.187 * [simplify]: Simplified to (* (* PI n) 2) 49.187 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 49.187 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 49.188 * [simplify]: Simplifying (* 2 (* n PI)) 49.188 * * [simplify]: iters left: 4 (5 enodes) 49.191 * * [simplify]: iters left: 3 (19 enodes) 49.199 * * [simplify]: iters left: 2 (27 enodes) 49.207 * * [simplify]: iters left: 1 (32 enodes) 49.215 * * [simplify]: Extracting #0: cost 1 inf + 0 49.215 * * [simplify]: Extracting #1: cost 8 inf + 0 49.215 * * [simplify]: Extracting #2: cost 7 inf + 45 49.215 * * [simplify]: Extracting #3: cost 0 inf + 421 49.216 * [simplify]: Simplified to (* (* PI n) 2) 49.216 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 49.216 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 49.216 * [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)))))))))))))))))))))) 49.216 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.217 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 49.217 * [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)))))))) 49.217 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.218 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 49.218 * [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)))))))))))) 49.218 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 49.218 * * * [progress]: adding candidates to table 51.604 * * [progress]: iteration 3 / 4 51.604 * * * [progress]: picking best candidate 51.628 * * * * [pick]: Picked # 51.628 * * * [progress]: localizing error 51.682 * * * [progress]: generating rewritten candidates 51.682 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 51.714 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 51.727 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 51.752 * * * [progress]: generating series expansions 51.752 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 51.753 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 51.753 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 51.753 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 51.753 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 51.753 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 51.753 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 51.753 * [taylor]: Taking taylor expansion of 1/2 in k 51.753 * [backup-simplify]: Simplify 1/2 into 1/2 51.753 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.753 * [taylor]: Taking taylor expansion of 1 in k 51.753 * [backup-simplify]: Simplify 1 into 1 51.753 * [taylor]: Taking taylor expansion of k in k 51.753 * [backup-simplify]: Simplify 0 into 0 51.753 * [backup-simplify]: Simplify 1 into 1 51.753 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.753 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.753 * [taylor]: Taking taylor expansion of 2 in k 51.753 * [backup-simplify]: Simplify 2 into 2 51.753 * [taylor]: Taking taylor expansion of (* n PI) in k 51.753 * [taylor]: Taking taylor expansion of n in k 51.753 * [backup-simplify]: Simplify n into n 51.753 * [taylor]: Taking taylor expansion of PI in k 51.753 * [backup-simplify]: Simplify PI into PI 51.753 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.753 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.753 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.754 * [backup-simplify]: Simplify (- 0) into 0 51.754 * [backup-simplify]: Simplify (+ 1 0) into 1 51.754 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.754 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 51.754 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 51.754 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.754 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.754 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.754 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.754 * [taylor]: Taking taylor expansion of 1/2 in n 51.754 * [backup-simplify]: Simplify 1/2 into 1/2 51.755 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.755 * [taylor]: Taking taylor expansion of 1 in n 51.755 * [backup-simplify]: Simplify 1 into 1 51.755 * [taylor]: Taking taylor expansion of k in n 51.755 * [backup-simplify]: Simplify k into k 51.755 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.755 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.755 * [taylor]: Taking taylor expansion of 2 in n 51.755 * [backup-simplify]: Simplify 2 into 2 51.755 * [taylor]: Taking taylor expansion of (* n PI) in n 51.755 * [taylor]: Taking taylor expansion of n in n 51.755 * [backup-simplify]: Simplify 0 into 0 51.755 * [backup-simplify]: Simplify 1 into 1 51.755 * [taylor]: Taking taylor expansion of PI in n 51.755 * [backup-simplify]: Simplify PI into PI 51.755 * [backup-simplify]: Simplify (* 0 PI) into 0 51.755 * [backup-simplify]: Simplify (* 2 0) into 0 51.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.757 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.758 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.758 * [backup-simplify]: Simplify (- k) into (- k) 51.758 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.758 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.759 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.760 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.760 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.760 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.760 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.760 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.760 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.760 * [taylor]: Taking taylor expansion of 1/2 in n 51.760 * [backup-simplify]: Simplify 1/2 into 1/2 51.761 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.761 * [taylor]: Taking taylor expansion of 1 in n 51.761 * [backup-simplify]: Simplify 1 into 1 51.761 * [taylor]: Taking taylor expansion of k in n 51.761 * [backup-simplify]: Simplify k into k 51.761 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.761 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.761 * [taylor]: Taking taylor expansion of 2 in n 51.761 * [backup-simplify]: Simplify 2 into 2 51.761 * [taylor]: Taking taylor expansion of (* n PI) in n 51.761 * [taylor]: Taking taylor expansion of n in n 51.761 * [backup-simplify]: Simplify 0 into 0 51.761 * [backup-simplify]: Simplify 1 into 1 51.761 * [taylor]: Taking taylor expansion of PI in n 51.761 * [backup-simplify]: Simplify PI into PI 51.761 * [backup-simplify]: Simplify (* 0 PI) into 0 51.761 * [backup-simplify]: Simplify (* 2 0) into 0 51.762 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.763 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.764 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.764 * [backup-simplify]: Simplify (- k) into (- k) 51.764 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.764 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.766 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.766 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.766 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.766 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.766 * [taylor]: Taking taylor expansion of 1/2 in k 51.766 * [backup-simplify]: Simplify 1/2 into 1/2 51.766 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.766 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.766 * [taylor]: Taking taylor expansion of 1 in k 51.766 * [backup-simplify]: Simplify 1 into 1 51.766 * [taylor]: Taking taylor expansion of k in k 51.766 * [backup-simplify]: Simplify 0 into 0 51.766 * [backup-simplify]: Simplify 1 into 1 51.766 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.767 * [taylor]: Taking taylor expansion of (log n) in k 51.767 * [taylor]: Taking taylor expansion of n in k 51.767 * [backup-simplify]: Simplify n into n 51.767 * [backup-simplify]: Simplify (log n) into (log n) 51.767 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.767 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.767 * [taylor]: Taking taylor expansion of 2 in k 51.767 * [backup-simplify]: Simplify 2 into 2 51.767 * [taylor]: Taking taylor expansion of PI in k 51.767 * [backup-simplify]: Simplify PI into PI 51.767 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.768 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.768 * [backup-simplify]: Simplify (- 0) into 0 51.768 * [backup-simplify]: Simplify (+ 1 0) into 1 51.769 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.769 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.770 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 51.771 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 51.772 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 51.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.776 * [backup-simplify]: Simplify (- 0) into 0 51.777 * [backup-simplify]: Simplify (+ 0 0) into 0 51.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 51.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.784 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.786 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.786 * [taylor]: Taking taylor expansion of 0 in k 51.787 * [backup-simplify]: Simplify 0 into 0 51.787 * [backup-simplify]: Simplify 0 into 0 51.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.788 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.790 * [backup-simplify]: Simplify (+ 0 0) into 0 51.791 * [backup-simplify]: Simplify (- 1) into -1 51.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.793 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.795 * [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))))) 51.798 * [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))))))) 51.801 * [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))))))) 51.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.807 * [backup-simplify]: Simplify (- 0) into 0 51.807 * [backup-simplify]: Simplify (+ 0 0) into 0 51.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.809 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.811 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.813 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.813 * [taylor]: Taking taylor expansion of 0 in k 51.813 * [backup-simplify]: Simplify 0 into 0 51.813 * [backup-simplify]: Simplify 0 into 0 51.813 * [backup-simplify]: Simplify 0 into 0 51.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.820 * [backup-simplify]: Simplify (+ 0 0) into 0 51.820 * [backup-simplify]: Simplify (- 0) into 0 51.821 * [backup-simplify]: Simplify (+ 0 0) into 0 51.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.826 * [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))))) 51.829 * [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))))) 51.835 * [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))))) 51.835 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 51.835 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 51.835 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 51.835 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.835 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.835 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 51.835 * [taylor]: Taking taylor expansion of 1/2 in k 51.835 * [backup-simplify]: Simplify 1/2 into 1/2 51.835 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.835 * [taylor]: Taking taylor expansion of 1 in k 51.835 * [backup-simplify]: Simplify 1 into 1 51.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.835 * [taylor]: Taking taylor expansion of k in k 51.835 * [backup-simplify]: Simplify 0 into 0 51.835 * [backup-simplify]: Simplify 1 into 1 51.836 * [backup-simplify]: Simplify (/ 1 1) into 1 51.836 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.836 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.836 * [taylor]: Taking taylor expansion of 2 in k 51.836 * [backup-simplify]: Simplify 2 into 2 51.836 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.836 * [taylor]: Taking taylor expansion of PI in k 51.836 * [backup-simplify]: Simplify PI into PI 51.836 * [taylor]: Taking taylor expansion of n in k 51.836 * [backup-simplify]: Simplify n into n 51.836 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.836 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.836 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.836 * [backup-simplify]: Simplify (- 1) into -1 51.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.837 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 51.837 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 51.837 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.837 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 51.837 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.837 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.837 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 51.837 * [taylor]: Taking taylor expansion of 1/2 in n 51.837 * [backup-simplify]: Simplify 1/2 into 1/2 51.837 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.837 * [taylor]: Taking taylor expansion of 1 in n 51.837 * [backup-simplify]: Simplify 1 into 1 51.837 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.837 * [taylor]: Taking taylor expansion of k in n 51.837 * [backup-simplify]: Simplify k into k 51.837 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.837 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.837 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.837 * [taylor]: Taking taylor expansion of 2 in n 51.837 * [backup-simplify]: Simplify 2 into 2 51.837 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.837 * [taylor]: Taking taylor expansion of PI in n 51.837 * [backup-simplify]: Simplify PI into PI 51.837 * [taylor]: Taking taylor expansion of n in n 51.837 * [backup-simplify]: Simplify 0 into 0 51.837 * [backup-simplify]: Simplify 1 into 1 51.837 * [backup-simplify]: Simplify (/ PI 1) into PI 51.838 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.838 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.838 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.838 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.839 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 51.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.840 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.841 * [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))))) 51.841 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 51.841 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.841 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.841 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 51.841 * [taylor]: Taking taylor expansion of 1/2 in n 51.841 * [backup-simplify]: Simplify 1/2 into 1/2 51.841 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.841 * [taylor]: Taking taylor expansion of 1 in n 51.841 * [backup-simplify]: Simplify 1 into 1 51.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.841 * [taylor]: Taking taylor expansion of k in n 51.841 * [backup-simplify]: Simplify k into k 51.841 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.841 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.841 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.841 * [taylor]: Taking taylor expansion of 2 in n 51.841 * [backup-simplify]: Simplify 2 into 2 51.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.841 * [taylor]: Taking taylor expansion of PI in n 51.841 * [backup-simplify]: Simplify PI into PI 51.841 * [taylor]: Taking taylor expansion of n in n 51.841 * [backup-simplify]: Simplify 0 into 0 51.841 * [backup-simplify]: Simplify 1 into 1 51.841 * [backup-simplify]: Simplify (/ PI 1) into PI 51.842 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.842 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.842 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.842 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.842 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 51.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.844 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.844 * [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))))) 51.845 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.845 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.845 * [taylor]: Taking taylor expansion of 1/2 in k 51.845 * [backup-simplify]: Simplify 1/2 into 1/2 51.845 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.845 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.845 * [taylor]: Taking taylor expansion of 1 in k 51.845 * [backup-simplify]: Simplify 1 into 1 51.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.845 * [taylor]: Taking taylor expansion of k in k 51.845 * [backup-simplify]: Simplify 0 into 0 51.845 * [backup-simplify]: Simplify 1 into 1 51.845 * [backup-simplify]: Simplify (/ 1 1) into 1 51.845 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.845 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.845 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.845 * [taylor]: Taking taylor expansion of 2 in k 51.845 * [backup-simplify]: Simplify 2 into 2 51.845 * [taylor]: Taking taylor expansion of PI in k 51.845 * [backup-simplify]: Simplify PI into PI 51.845 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.846 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.846 * [taylor]: Taking taylor expansion of (log n) in k 51.846 * [taylor]: Taking taylor expansion of n in k 51.846 * [backup-simplify]: Simplify n into n 51.846 * [backup-simplify]: Simplify (log n) into (log n) 51.846 * [backup-simplify]: Simplify (- 1) into -1 51.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.847 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.847 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.848 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.848 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 51.849 * [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))))) 51.850 * [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))))) 51.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.851 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.852 * [backup-simplify]: Simplify (- 0) into 0 51.852 * [backup-simplify]: Simplify (+ 0 0) into 0 51.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 51.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.854 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.855 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.855 * [taylor]: Taking taylor expansion of 0 in k 51.855 * [backup-simplify]: Simplify 0 into 0 51.855 * [backup-simplify]: Simplify 0 into 0 51.855 * [backup-simplify]: Simplify 0 into 0 51.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 51.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.858 * [backup-simplify]: Simplify (- 0) into 0 51.859 * [backup-simplify]: Simplify (+ 0 0) into 0 51.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.861 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.862 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.862 * [taylor]: Taking taylor expansion of 0 in k 51.862 * [backup-simplify]: Simplify 0 into 0 51.862 * [backup-simplify]: Simplify 0 into 0 51.862 * [backup-simplify]: Simplify 0 into 0 51.862 * [backup-simplify]: Simplify 0 into 0 51.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.867 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.868 * [backup-simplify]: Simplify (- 0) into 0 51.868 * [backup-simplify]: Simplify (+ 0 0) into 0 51.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.873 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.876 * [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 51.876 * [taylor]: Taking taylor expansion of 0 in k 51.876 * [backup-simplify]: Simplify 0 into 0 51.876 * [backup-simplify]: Simplify 0 into 0 51.878 * [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)))))) 51.878 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 51.878 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 51.879 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 51.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.879 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 51.879 * [taylor]: Taking taylor expansion of 1/2 in k 51.879 * [backup-simplify]: Simplify 1/2 into 1/2 51.879 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.879 * [taylor]: Taking taylor expansion of k in k 51.879 * [backup-simplify]: Simplify 0 into 0 51.879 * [backup-simplify]: Simplify 1 into 1 51.879 * [backup-simplify]: Simplify (/ 1 1) into 1 51.879 * [taylor]: Taking taylor expansion of 1 in k 51.879 * [backup-simplify]: Simplify 1 into 1 51.879 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.879 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.879 * [taylor]: Taking taylor expansion of -2 in k 51.879 * [backup-simplify]: Simplify -2 into -2 51.879 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.879 * [taylor]: Taking taylor expansion of PI in k 51.879 * [backup-simplify]: Simplify PI into PI 51.879 * [taylor]: Taking taylor expansion of n in k 51.879 * [backup-simplify]: Simplify n into n 51.880 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.880 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.880 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.880 * [backup-simplify]: Simplify (+ 1 0) into 1 51.881 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.881 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 51.881 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.881 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 51.881 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.881 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.881 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 51.881 * [taylor]: Taking taylor expansion of 1/2 in n 51.881 * [backup-simplify]: Simplify 1/2 into 1/2 51.881 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.881 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.881 * [taylor]: Taking taylor expansion of k in n 51.881 * [backup-simplify]: Simplify k into k 51.881 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.881 * [taylor]: Taking taylor expansion of 1 in n 51.881 * [backup-simplify]: Simplify 1 into 1 51.881 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.881 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.881 * [taylor]: Taking taylor expansion of -2 in n 51.881 * [backup-simplify]: Simplify -2 into -2 51.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.881 * [taylor]: Taking taylor expansion of PI in n 51.882 * [backup-simplify]: Simplify PI into PI 51.882 * [taylor]: Taking taylor expansion of n in n 51.882 * [backup-simplify]: Simplify 0 into 0 51.882 * [backup-simplify]: Simplify 1 into 1 51.882 * [backup-simplify]: Simplify (/ PI 1) into PI 51.883 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.884 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.884 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.884 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 51.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.886 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.888 * [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))))) 51.888 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 51.888 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.888 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.888 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 51.888 * [taylor]: Taking taylor expansion of 1/2 in n 51.888 * [backup-simplify]: Simplify 1/2 into 1/2 51.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.888 * [taylor]: Taking taylor expansion of k in n 51.888 * [backup-simplify]: Simplify k into k 51.888 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.888 * [taylor]: Taking taylor expansion of 1 in n 51.888 * [backup-simplify]: Simplify 1 into 1 51.888 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.888 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.888 * [taylor]: Taking taylor expansion of -2 in n 51.888 * [backup-simplify]: Simplify -2 into -2 51.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.888 * [taylor]: Taking taylor expansion of PI in n 51.888 * [backup-simplify]: Simplify PI into PI 51.888 * [taylor]: Taking taylor expansion of n in n 51.888 * [backup-simplify]: Simplify 0 into 0 51.888 * [backup-simplify]: Simplify 1 into 1 51.889 * [backup-simplify]: Simplify (/ PI 1) into PI 51.889 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.890 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.890 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.890 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 51.892 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.893 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.900 * [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))))) 51.900 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.900 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.900 * [taylor]: Taking taylor expansion of 1/2 in k 51.900 * [backup-simplify]: Simplify 1/2 into 1/2 51.900 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.900 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.900 * [taylor]: Taking taylor expansion of k in k 51.900 * [backup-simplify]: Simplify 0 into 0 51.900 * [backup-simplify]: Simplify 1 into 1 51.900 * [backup-simplify]: Simplify (/ 1 1) into 1 51.900 * [taylor]: Taking taylor expansion of 1 in k 51.900 * [backup-simplify]: Simplify 1 into 1 51.900 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.900 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.900 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.900 * [taylor]: Taking taylor expansion of -2 in k 51.901 * [backup-simplify]: Simplify -2 into -2 51.901 * [taylor]: Taking taylor expansion of PI in k 51.901 * [backup-simplify]: Simplify PI into PI 51.901 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.902 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.902 * [taylor]: Taking taylor expansion of (log n) in k 51.902 * [taylor]: Taking taylor expansion of n in k 51.902 * [backup-simplify]: Simplify n into n 51.902 * [backup-simplify]: Simplify (log n) into (log n) 51.902 * [backup-simplify]: Simplify (+ 1 0) into 1 51.903 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.903 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.904 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.905 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 51.907 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.908 * [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))))) 51.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.909 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.912 * [backup-simplify]: Simplify (+ 0 0) into 0 51.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 51.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.914 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.916 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.916 * [taylor]: Taking taylor expansion of 0 in k 51.916 * [backup-simplify]: Simplify 0 into 0 51.916 * [backup-simplify]: Simplify 0 into 0 51.916 * [backup-simplify]: Simplify 0 into 0 51.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.918 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 51.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.922 * [backup-simplify]: Simplify (+ 0 0) into 0 51.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.926 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.928 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.928 * [taylor]: Taking taylor expansion of 0 in k 51.928 * [backup-simplify]: Simplify 0 into 0 51.928 * [backup-simplify]: Simplify 0 into 0 51.928 * [backup-simplify]: Simplify 0 into 0 51.928 * [backup-simplify]: Simplify 0 into 0 51.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.930 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.937 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 51.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.937 * [backup-simplify]: Simplify (+ 0 0) into 0 51.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.942 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.944 * [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 51.944 * [taylor]: Taking taylor expansion of 0 in k 51.944 * [backup-simplify]: Simplify 0 into 0 51.944 * [backup-simplify]: Simplify 0 into 0 51.944 * [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)))))) 51.944 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 51.945 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 51.945 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 51.945 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.945 * [taylor]: Taking taylor expansion of 2 in n 51.945 * [backup-simplify]: Simplify 2 into 2 51.945 * [taylor]: Taking taylor expansion of (* n PI) in n 51.945 * [taylor]: Taking taylor expansion of n in n 51.945 * [backup-simplify]: Simplify 0 into 0 51.945 * [backup-simplify]: Simplify 1 into 1 51.945 * [taylor]: Taking taylor expansion of PI in n 51.945 * [backup-simplify]: Simplify PI into PI 51.945 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.945 * [taylor]: Taking taylor expansion of 2 in n 51.945 * [backup-simplify]: Simplify 2 into 2 51.945 * [taylor]: Taking taylor expansion of (* n PI) in n 51.945 * [taylor]: Taking taylor expansion of n in n 51.945 * [backup-simplify]: Simplify 0 into 0 51.945 * [backup-simplify]: Simplify 1 into 1 51.945 * [taylor]: Taking taylor expansion of PI in n 51.945 * [backup-simplify]: Simplify PI into PI 51.946 * [backup-simplify]: Simplify (* 0 PI) into 0 51.946 * [backup-simplify]: Simplify (* 2 0) into 0 51.946 * [backup-simplify]: Simplify 0 into 0 51.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.948 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.948 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.950 * [backup-simplify]: Simplify 0 into 0 51.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.951 * [backup-simplify]: Simplify 0 into 0 51.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 51.953 * [backup-simplify]: Simplify 0 into 0 51.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 51.954 * [backup-simplify]: Simplify 0 into 0 51.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 51.956 * [backup-simplify]: Simplify 0 into 0 51.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 51.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 51.959 * [backup-simplify]: Simplify 0 into 0 51.959 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 51.959 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 51.959 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 51.959 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.959 * [taylor]: Taking taylor expansion of 2 in n 51.959 * [backup-simplify]: Simplify 2 into 2 51.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.959 * [taylor]: Taking taylor expansion of PI in n 51.959 * [backup-simplify]: Simplify PI into PI 51.959 * [taylor]: Taking taylor expansion of n in n 51.959 * [backup-simplify]: Simplify 0 into 0 51.959 * [backup-simplify]: Simplify 1 into 1 51.960 * [backup-simplify]: Simplify (/ PI 1) into PI 51.960 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.960 * [taylor]: Taking taylor expansion of 2 in n 51.960 * [backup-simplify]: Simplify 2 into 2 51.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.960 * [taylor]: Taking taylor expansion of PI in n 51.960 * [backup-simplify]: Simplify PI into PI 51.960 * [taylor]: Taking taylor expansion of n in n 51.960 * [backup-simplify]: Simplify 0 into 0 51.960 * [backup-simplify]: Simplify 1 into 1 51.960 * [backup-simplify]: Simplify (/ PI 1) into PI 51.960 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.961 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.962 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.962 * [backup-simplify]: Simplify 0 into 0 51.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.963 * [backup-simplify]: Simplify 0 into 0 51.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.964 * [backup-simplify]: Simplify 0 into 0 51.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.965 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.965 * [backup-simplify]: Simplify 0 into 0 51.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.967 * [backup-simplify]: Simplify 0 into 0 51.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.968 * [backup-simplify]: Simplify 0 into 0 51.969 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 51.969 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 51.969 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 51.969 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.969 * [taylor]: Taking taylor expansion of -2 in n 51.969 * [backup-simplify]: Simplify -2 into -2 51.969 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.969 * [taylor]: Taking taylor expansion of PI in n 51.969 * [backup-simplify]: Simplify PI into PI 51.969 * [taylor]: Taking taylor expansion of n in n 51.969 * [backup-simplify]: Simplify 0 into 0 51.969 * [backup-simplify]: Simplify 1 into 1 51.970 * [backup-simplify]: Simplify (/ PI 1) into PI 51.970 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.970 * [taylor]: Taking taylor expansion of -2 in n 51.970 * [backup-simplify]: Simplify -2 into -2 51.970 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.970 * [taylor]: Taking taylor expansion of PI in n 51.970 * [backup-simplify]: Simplify PI into PI 51.970 * [taylor]: Taking taylor expansion of n in n 51.970 * [backup-simplify]: Simplify 0 into 0 51.970 * [backup-simplify]: Simplify 1 into 1 51.970 * [backup-simplify]: Simplify (/ PI 1) into PI 51.970 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.971 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.972 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.972 * [backup-simplify]: Simplify 0 into 0 51.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.973 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.973 * [backup-simplify]: Simplify 0 into 0 51.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.974 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.974 * [backup-simplify]: Simplify 0 into 0 51.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.975 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.975 * [backup-simplify]: Simplify 0 into 0 51.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.977 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.977 * [backup-simplify]: Simplify 0 into 0 51.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.978 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.978 * [backup-simplify]: Simplify 0 into 0 51.979 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 51.979 * * * * [progress]: [ 3 / 3 ] generating series at (2) 51.979 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 51.979 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 51.979 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 51.979 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 51.979 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 51.979 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 51.979 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 51.979 * [taylor]: Taking taylor expansion of 1/2 in k 51.979 * [backup-simplify]: Simplify 1/2 into 1/2 51.979 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.979 * [taylor]: Taking taylor expansion of 1 in k 51.979 * [backup-simplify]: Simplify 1 into 1 51.979 * [taylor]: Taking taylor expansion of k in k 51.979 * [backup-simplify]: Simplify 0 into 0 51.979 * [backup-simplify]: Simplify 1 into 1 51.979 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.979 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.979 * [taylor]: Taking taylor expansion of 2 in k 51.979 * [backup-simplify]: Simplify 2 into 2 51.979 * [taylor]: Taking taylor expansion of (* n PI) in k 51.980 * [taylor]: Taking taylor expansion of n in k 51.980 * [backup-simplify]: Simplify n into n 51.980 * [taylor]: Taking taylor expansion of PI in k 51.980 * [backup-simplify]: Simplify PI into PI 51.980 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.980 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.980 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.980 * [backup-simplify]: Simplify (- 0) into 0 51.980 * [backup-simplify]: Simplify (+ 1 0) into 1 51.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 51.981 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 51.981 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 51.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 51.981 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.981 * [taylor]: Taking taylor expansion of k in k 51.981 * [backup-simplify]: Simplify 0 into 0 51.981 * [backup-simplify]: Simplify 1 into 1 51.981 * [backup-simplify]: Simplify (/ 1 1) into 1 51.981 * [backup-simplify]: Simplify (sqrt 0) into 0 51.982 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 51.982 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 51.982 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.982 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.982 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.982 * [taylor]: Taking taylor expansion of 1/2 in n 51.982 * [backup-simplify]: Simplify 1/2 into 1/2 51.982 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.982 * [taylor]: Taking taylor expansion of 1 in n 51.982 * [backup-simplify]: Simplify 1 into 1 51.982 * [taylor]: Taking taylor expansion of k in n 51.982 * [backup-simplify]: Simplify k into k 51.982 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.982 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.982 * [taylor]: Taking taylor expansion of 2 in n 51.982 * [backup-simplify]: Simplify 2 into 2 51.982 * [taylor]: Taking taylor expansion of (* n PI) in n 51.982 * [taylor]: Taking taylor expansion of n in n 51.982 * [backup-simplify]: Simplify 0 into 0 51.982 * [backup-simplify]: Simplify 1 into 1 51.982 * [taylor]: Taking taylor expansion of PI in n 51.982 * [backup-simplify]: Simplify PI into PI 51.983 * [backup-simplify]: Simplify (* 0 PI) into 0 51.983 * [backup-simplify]: Simplify (* 2 0) into 0 51.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.985 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.985 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.985 * [backup-simplify]: Simplify (- k) into (- k) 51.985 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.985 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.987 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.989 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 51.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.989 * [taylor]: Taking taylor expansion of k in n 51.989 * [backup-simplify]: Simplify k into k 51.989 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.989 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 51.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 51.989 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 51.989 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 51.989 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 51.989 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 51.989 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 51.989 * [taylor]: Taking taylor expansion of 1/2 in n 51.989 * [backup-simplify]: Simplify 1/2 into 1/2 51.989 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.989 * [taylor]: Taking taylor expansion of 1 in n 51.989 * [backup-simplify]: Simplify 1 into 1 51.989 * [taylor]: Taking taylor expansion of k in n 51.989 * [backup-simplify]: Simplify k into k 51.989 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.989 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.989 * [taylor]: Taking taylor expansion of 2 in n 51.989 * [backup-simplify]: Simplify 2 into 2 51.989 * [taylor]: Taking taylor expansion of (* n PI) in n 51.989 * [taylor]: Taking taylor expansion of n in n 51.989 * [backup-simplify]: Simplify 0 into 0 51.990 * [backup-simplify]: Simplify 1 into 1 51.990 * [taylor]: Taking taylor expansion of PI in n 51.990 * [backup-simplify]: Simplify PI into PI 51.990 * [backup-simplify]: Simplify (* 0 PI) into 0 51.990 * [backup-simplify]: Simplify (* 2 0) into 0 51.992 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.993 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.994 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.994 * [backup-simplify]: Simplify (- k) into (- k) 51.994 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.995 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 51.996 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.997 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.998 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 51.998 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.998 * [taylor]: Taking taylor expansion of k in n 51.998 * [backup-simplify]: Simplify k into k 51.998 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.999 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 51.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 52.000 * [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))) 52.000 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 52.000 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.000 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.000 * [taylor]: Taking taylor expansion of 1/2 in k 52.000 * [backup-simplify]: Simplify 1/2 into 1/2 52.000 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.000 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.000 * [taylor]: Taking taylor expansion of 1 in k 52.000 * [backup-simplify]: Simplify 1 into 1 52.000 * [taylor]: Taking taylor expansion of k in k 52.000 * [backup-simplify]: Simplify 0 into 0 52.000 * [backup-simplify]: Simplify 1 into 1 52.000 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.000 * [taylor]: Taking taylor expansion of (log n) in k 52.000 * [taylor]: Taking taylor expansion of n in k 52.000 * [backup-simplify]: Simplify n into n 52.000 * [backup-simplify]: Simplify (log n) into (log n) 52.000 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.000 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.000 * [taylor]: Taking taylor expansion of 2 in k 52.001 * [backup-simplify]: Simplify 2 into 2 52.001 * [taylor]: Taking taylor expansion of PI in k 52.001 * [backup-simplify]: Simplify PI into PI 52.001 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.002 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.002 * [backup-simplify]: Simplify (- 0) into 0 52.002 * [backup-simplify]: Simplify (+ 1 0) into 1 52.003 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.004 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.004 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 52.005 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 52.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.005 * [taylor]: Taking taylor expansion of k in k 52.005 * [backup-simplify]: Simplify 0 into 0 52.005 * [backup-simplify]: Simplify 1 into 1 52.005 * [backup-simplify]: Simplify (/ 1 1) into 1 52.006 * [backup-simplify]: Simplify (sqrt 0) into 0 52.006 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.007 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 52.007 * [backup-simplify]: Simplify 0 into 0 52.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.014 * [backup-simplify]: Simplify (- 0) into 0 52.014 * [backup-simplify]: Simplify (+ 0 0) into 0 52.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 52.015 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.016 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.017 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.018 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 52.018 * [taylor]: Taking taylor expansion of 0 in k 52.018 * [backup-simplify]: Simplify 0 into 0 52.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.020 * [backup-simplify]: Simplify (+ 0 0) into 0 52.020 * [backup-simplify]: Simplify (- 1) into -1 52.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.021 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.023 * [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))))) 52.024 * [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))))))) 52.027 * [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))))))) 52.027 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 52.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 52.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.032 * [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 52.032 * [backup-simplify]: Simplify (- 0) into 0 52.032 * [backup-simplify]: Simplify (+ 0 0) into 0 52.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.036 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.039 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.040 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 52.040 * [taylor]: Taking taylor expansion of 0 in k 52.040 * [backup-simplify]: Simplify 0 into 0 52.040 * [backup-simplify]: Simplify 0 into 0 52.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.045 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.051 * [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 52.052 * [backup-simplify]: Simplify (+ 0 0) into 0 52.052 * [backup-simplify]: Simplify (- 0) into 0 52.052 * [backup-simplify]: Simplify (+ 0 0) into 0 52.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.061 * [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))))) 52.069 * [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)))))))) 52.073 * [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)))))))) 52.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 52.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 52.083 * [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 52.083 * [backup-simplify]: Simplify (- 0) into 0 52.084 * [backup-simplify]: Simplify (+ 0 0) into 0 52.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 52.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.088 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 52.091 * [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 52.093 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 52.093 * [taylor]: Taking taylor expansion of 0 in k 52.093 * [backup-simplify]: Simplify 0 into 0 52.093 * [backup-simplify]: Simplify 0 into 0 52.093 * [backup-simplify]: Simplify 0 into 0 52.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.100 * [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 52.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.107 * [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 52.108 * [backup-simplify]: Simplify (+ 0 0) into 0 52.108 * [backup-simplify]: Simplify (- 0) into 0 52.109 * [backup-simplify]: Simplify (+ 0 0) into 0 52.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 52.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 52.120 * [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))))))) 52.136 * [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)))))))))))))) 52.152 * [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)))))))))))))) 52.163 * [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)))))))))))))))))))))) 52.163 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (pow (/ 1 k) -1/2)) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 52.163 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 52.163 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 52.163 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 52.163 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.163 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.163 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 52.163 * [taylor]: Taking taylor expansion of 1/2 in k 52.163 * [backup-simplify]: Simplify 1/2 into 1/2 52.163 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.163 * [taylor]: Taking taylor expansion of 1 in k 52.163 * [backup-simplify]: Simplify 1 into 1 52.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.163 * [taylor]: Taking taylor expansion of k in k 52.164 * [backup-simplify]: Simplify 0 into 0 52.164 * [backup-simplify]: Simplify 1 into 1 52.164 * [backup-simplify]: Simplify (/ 1 1) into 1 52.164 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.164 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.164 * [taylor]: Taking taylor expansion of 2 in k 52.164 * [backup-simplify]: Simplify 2 into 2 52.164 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.164 * [taylor]: Taking taylor expansion of PI in k 52.164 * [backup-simplify]: Simplify PI into PI 52.164 * [taylor]: Taking taylor expansion of n in k 52.164 * [backup-simplify]: Simplify n into n 52.164 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.164 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.164 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.164 * [backup-simplify]: Simplify (- 1) into -1 52.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.165 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 52.165 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 52.165 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.165 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.165 * [taylor]: Taking taylor expansion of k in k 52.165 * [backup-simplify]: Simplify 0 into 0 52.165 * [backup-simplify]: Simplify 1 into 1 52.165 * [backup-simplify]: Simplify (sqrt 0) into 0 52.166 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.166 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 52.166 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.166 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.166 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.166 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.166 * [taylor]: Taking taylor expansion of 1/2 in n 52.166 * [backup-simplify]: Simplify 1/2 into 1/2 52.167 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.167 * [taylor]: Taking taylor expansion of 1 in n 52.167 * [backup-simplify]: Simplify 1 into 1 52.167 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.167 * [taylor]: Taking taylor expansion of k in n 52.167 * [backup-simplify]: Simplify k into k 52.167 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.167 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.167 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.167 * [taylor]: Taking taylor expansion of 2 in n 52.167 * [backup-simplify]: Simplify 2 into 2 52.167 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.167 * [taylor]: Taking taylor expansion of PI in n 52.167 * [backup-simplify]: Simplify PI into PI 52.167 * [taylor]: Taking taylor expansion of n in n 52.167 * [backup-simplify]: Simplify 0 into 0 52.167 * [backup-simplify]: Simplify 1 into 1 52.167 * [backup-simplify]: Simplify (/ PI 1) into PI 52.168 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.168 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.168 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.168 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.168 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.170 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.170 * [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))))) 52.171 * [taylor]: Taking taylor expansion of (sqrt k) in n 52.171 * [taylor]: Taking taylor expansion of k in n 52.171 * [backup-simplify]: Simplify k into k 52.171 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 52.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 52.171 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 52.171 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.171 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.171 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.171 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.171 * [taylor]: Taking taylor expansion of 1/2 in n 52.171 * [backup-simplify]: Simplify 1/2 into 1/2 52.171 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.171 * [taylor]: Taking taylor expansion of 1 in n 52.171 * [backup-simplify]: Simplify 1 into 1 52.171 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.171 * [taylor]: Taking taylor expansion of k in n 52.171 * [backup-simplify]: Simplify k into k 52.171 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.171 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.171 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.171 * [taylor]: Taking taylor expansion of 2 in n 52.171 * [backup-simplify]: Simplify 2 into 2 52.171 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.171 * [taylor]: Taking taylor expansion of PI in n 52.171 * [backup-simplify]: Simplify PI into PI 52.171 * [taylor]: Taking taylor expansion of n in n 52.171 * [backup-simplify]: Simplify 0 into 0 52.171 * [backup-simplify]: Simplify 1 into 1 52.171 * [backup-simplify]: Simplify (/ PI 1) into PI 52.172 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.172 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.172 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.172 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.172 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.174 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.175 * [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))))) 52.175 * [taylor]: Taking taylor expansion of (sqrt k) in n 52.175 * [taylor]: Taking taylor expansion of k in n 52.175 * [backup-simplify]: Simplify k into k 52.175 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 52.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 52.176 * [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)) 52.176 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 52.176 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.176 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.176 * [taylor]: Taking taylor expansion of 1/2 in k 52.176 * [backup-simplify]: Simplify 1/2 into 1/2 52.176 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.176 * [taylor]: Taking taylor expansion of 1 in k 52.176 * [backup-simplify]: Simplify 1 into 1 52.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.176 * [taylor]: Taking taylor expansion of k in k 52.176 * [backup-simplify]: Simplify 0 into 0 52.176 * [backup-simplify]: Simplify 1 into 1 52.176 * [backup-simplify]: Simplify (/ 1 1) into 1 52.176 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.176 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.176 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.176 * [taylor]: Taking taylor expansion of 2 in k 52.176 * [backup-simplify]: Simplify 2 into 2 52.176 * [taylor]: Taking taylor expansion of PI in k 52.176 * [backup-simplify]: Simplify PI into PI 52.177 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.177 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.177 * [taylor]: Taking taylor expansion of (log n) in k 52.177 * [taylor]: Taking taylor expansion of n in k 52.177 * [backup-simplify]: Simplify n into n 52.177 * [backup-simplify]: Simplify (log n) into (log n) 52.177 * [backup-simplify]: Simplify (- 1) into -1 52.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.178 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.179 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.180 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.181 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 52.182 * [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))))) 52.182 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.182 * [taylor]: Taking taylor expansion of k in k 52.182 * [backup-simplify]: Simplify 0 into 0 52.182 * [backup-simplify]: Simplify 1 into 1 52.182 * [backup-simplify]: Simplify (sqrt 0) into 0 52.184 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.185 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 52.185 * [backup-simplify]: Simplify 0 into 0 52.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.187 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.189 * [backup-simplify]: Simplify (- 0) into 0 52.189 * [backup-simplify]: Simplify (+ 0 0) into 0 52.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 52.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.192 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.194 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.195 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 52.195 * [taylor]: Taking taylor expansion of 0 in k 52.195 * [backup-simplify]: Simplify 0 into 0 52.195 * [backup-simplify]: Simplify 0 into 0 52.196 * [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))))))) 52.197 * [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))))))) 52.198 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 52.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.203 * [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 52.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.204 * [backup-simplify]: Simplify (- 0) into 0 52.204 * [backup-simplify]: Simplify (+ 0 0) into 0 52.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.207 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.208 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.211 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.212 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 52.212 * [taylor]: Taking taylor expansion of 0 in k 52.212 * [backup-simplify]: Simplify 0 into 0 52.212 * [backup-simplify]: Simplify 0 into 0 52.212 * [backup-simplify]: Simplify 0 into 0 52.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.218 * [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))))))) 52.219 * [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))))))) 52.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 52.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.225 * [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 52.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.226 * [backup-simplify]: Simplify (- 0) into 0 52.226 * [backup-simplify]: Simplify (+ 0 0) into 0 52.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.229 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.231 * [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 52.232 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 52.232 * [taylor]: Taking taylor expansion of 0 in k 52.232 * [backup-simplify]: Simplify 0 into 0 52.232 * [backup-simplify]: Simplify 0 into 0 52.232 * [backup-simplify]: Simplify 0 into 0 52.232 * [backup-simplify]: Simplify 0 into 0 52.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.236 * [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))))))) 52.236 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.239 * [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)))))))) 52.239 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (pow (/ 1 (- k)) -1/2)) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 52.239 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 52.240 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 52.240 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 52.240 * [taylor]: Taking taylor expansion of (/ k -1) in k 52.240 * [taylor]: Taking taylor expansion of k in k 52.240 * [backup-simplify]: Simplify 0 into 0 52.240 * [backup-simplify]: Simplify 1 into 1 52.240 * [taylor]: Taking taylor expansion of -1 in k 52.240 * [backup-simplify]: Simplify -1 into -1 52.240 * [backup-simplify]: Simplify (/ 1 -1) into -1 52.240 * [backup-simplify]: Simplify (sqrt 0) into 0 52.241 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.241 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.241 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.241 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.241 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.241 * [taylor]: Taking taylor expansion of 1/2 in k 52.241 * [backup-simplify]: Simplify 1/2 into 1/2 52.241 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.241 * [taylor]: Taking taylor expansion of k in k 52.241 * [backup-simplify]: Simplify 0 into 0 52.241 * [backup-simplify]: Simplify 1 into 1 52.241 * [backup-simplify]: Simplify (/ 1 1) into 1 52.241 * [taylor]: Taking taylor expansion of 1 in k 52.241 * [backup-simplify]: Simplify 1 into 1 52.241 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.241 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.241 * [taylor]: Taking taylor expansion of -2 in k 52.242 * [backup-simplify]: Simplify -2 into -2 52.242 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.242 * [taylor]: Taking taylor expansion of PI in k 52.242 * [backup-simplify]: Simplify PI into PI 52.242 * [taylor]: Taking taylor expansion of n in k 52.242 * [backup-simplify]: Simplify n into n 52.242 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.242 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.242 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.242 * [backup-simplify]: Simplify (+ 1 0) into 1 52.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.242 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.242 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.242 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 52.243 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 52.243 * [taylor]: Taking taylor expansion of (/ k -1) in n 52.243 * [taylor]: Taking taylor expansion of k in n 52.243 * [backup-simplify]: Simplify k into k 52.243 * [taylor]: Taking taylor expansion of -1 in n 52.243 * [backup-simplify]: Simplify -1 into -1 52.243 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 52.243 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 52.243 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 52.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 52.243 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.243 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.243 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.243 * [taylor]: Taking taylor expansion of 1/2 in n 52.243 * [backup-simplify]: Simplify 1/2 into 1/2 52.243 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.243 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.243 * [taylor]: Taking taylor expansion of k in n 52.243 * [backup-simplify]: Simplify k into k 52.243 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.243 * [taylor]: Taking taylor expansion of 1 in n 52.244 * [backup-simplify]: Simplify 1 into 1 52.244 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.244 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.244 * [taylor]: Taking taylor expansion of -2 in n 52.244 * [backup-simplify]: Simplify -2 into -2 52.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.244 * [taylor]: Taking taylor expansion of PI in n 52.244 * [backup-simplify]: Simplify PI into PI 52.244 * [taylor]: Taking taylor expansion of n in n 52.244 * [backup-simplify]: Simplify 0 into 0 52.244 * [backup-simplify]: Simplify 1 into 1 52.244 * [backup-simplify]: Simplify (/ PI 1) into PI 52.244 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.245 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.245 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.245 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.251 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.252 * [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))))) 52.252 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 52.252 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 52.252 * [taylor]: Taking taylor expansion of (/ k -1) in n 52.252 * [taylor]: Taking taylor expansion of k in n 52.252 * [backup-simplify]: Simplify k into k 52.252 * [taylor]: Taking taylor expansion of -1 in n 52.252 * [backup-simplify]: Simplify -1 into -1 52.253 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 52.253 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 52.254 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 52.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 52.254 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.254 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.254 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.254 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.254 * [taylor]: Taking taylor expansion of 1/2 in n 52.254 * [backup-simplify]: Simplify 1/2 into 1/2 52.254 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.254 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.254 * [taylor]: Taking taylor expansion of k in n 52.254 * [backup-simplify]: Simplify k into k 52.254 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.254 * [taylor]: Taking taylor expansion of 1 in n 52.254 * [backup-simplify]: Simplify 1 into 1 52.254 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.254 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.254 * [taylor]: Taking taylor expansion of -2 in n 52.254 * [backup-simplify]: Simplify -2 into -2 52.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.254 * [taylor]: Taking taylor expansion of PI in n 52.254 * [backup-simplify]: Simplify PI into PI 52.254 * [taylor]: Taking taylor expansion of n in n 52.254 * [backup-simplify]: Simplify 0 into 0 52.254 * [backup-simplify]: Simplify 1 into 1 52.255 * [backup-simplify]: Simplify (/ PI 1) into PI 52.255 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.256 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.257 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.257 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.259 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.260 * [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))))) 52.262 * [backup-simplify]: Simplify (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 52.262 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 52.262 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k 52.262 * [taylor]: Taking taylor expansion of (* -1 k) in k 52.262 * [taylor]: Taking taylor expansion of -1 in k 52.262 * [backup-simplify]: Simplify -1 into -1 52.262 * [taylor]: Taking taylor expansion of k in k 52.262 * [backup-simplify]: Simplify 0 into 0 52.262 * [backup-simplify]: Simplify 1 into 1 52.262 * [backup-simplify]: Simplify (* -1 0) into 0 52.263 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 52.264 * [backup-simplify]: Simplify (sqrt 0) into 0 52.265 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.265 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.265 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.265 * [taylor]: Taking taylor expansion of 1/2 in k 52.265 * [backup-simplify]: Simplify 1/2 into 1/2 52.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.265 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.265 * [taylor]: Taking taylor expansion of k in k 52.265 * [backup-simplify]: Simplify 0 into 0 52.265 * [backup-simplify]: Simplify 1 into 1 52.266 * [backup-simplify]: Simplify (/ 1 1) into 1 52.266 * [taylor]: Taking taylor expansion of 1 in k 52.266 * [backup-simplify]: Simplify 1 into 1 52.266 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.266 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.266 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.266 * [taylor]: Taking taylor expansion of -2 in k 52.266 * [backup-simplify]: Simplify -2 into -2 52.266 * [taylor]: Taking taylor expansion of PI in k 52.266 * [backup-simplify]: Simplify PI into PI 52.266 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.268 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.268 * [taylor]: Taking taylor expansion of (log n) in k 52.268 * [taylor]: Taking taylor expansion of n in k 52.268 * [backup-simplify]: Simplify n into n 52.268 * [backup-simplify]: Simplify (log n) into (log n) 52.268 * [backup-simplify]: Simplify (+ 1 0) into 1 52.268 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.269 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 52.270 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 52.271 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 52.272 * [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))))) 52.274 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0 52.274 * [backup-simplify]: Simplify 0 into 0 52.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.276 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.278 * [backup-simplify]: Simplify (+ 0 0) into 0 52.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 52.280 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.281 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 52.283 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.285 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 52.285 * [taylor]: Taking taylor expansion of 0 in k 52.285 * [backup-simplify]: Simplify 0 into 0 52.285 * [backup-simplify]: Simplify 0 into 0 52.286 * [backup-simplify]: Simplify (+ (* 0 0) (* +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))))))) 52.287 * [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))))))) 52.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.289 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.293 * [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 52.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.293 * [backup-simplify]: Simplify (+ 0 0) into 0 52.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 52.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.297 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 52.299 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.300 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 52.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0 52.303 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 52.303 * [taylor]: Taking taylor expansion of 0 in k 52.303 * [backup-simplify]: Simplify 0 into 0 52.303 * [backup-simplify]: Simplify 0 into 0 52.303 * [backup-simplify]: Simplify 0 into 0 52.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 52.307 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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))))))) 52.310 * [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))))))) 52.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.312 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.318 * [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 52.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.319 * [backup-simplify]: Simplify (+ 0 0) into 0 52.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 52.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.324 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 52.327 * [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 52.329 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 52.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0 52.332 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 52.332 * [taylor]: Taking taylor expansion of 0 in k 52.332 * [backup-simplify]: Simplify 0 into 0 52.332 * [backup-simplify]: Simplify 0 into 0 52.332 * [backup-simplify]: Simplify 0 into 0 52.332 * [backup-simplify]: Simplify 0 into 0 52.334 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 52.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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))))))) 52.341 * [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))))))) 52.345 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 3)) (+ (* (- (* +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)))) 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))))))) 52.346 * * * [progress]: simplifying candidates 52.346 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 52.346 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 52.346 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 52.346 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 52.346 * * [simplify]: iters left: 6 (13 enodes) 52.354 * * [simplify]: iters left: 5 (54 enodes) 52.372 * * [simplify]: iters left: 4 (97 enodes) 52.409 * * [simplify]: iters left: 3 (250 enodes) 52.507 * * [simplify]: Extracting #0: cost 1 inf + 0 52.507 * * [simplify]: Extracting #1: cost 34 inf + 0 52.507 * * [simplify]: Extracting #2: cost 100 inf + 73 52.508 * * [simplify]: Extracting #3: cost 126 inf + 1867 52.511 * * [simplify]: Extracting #4: cost 46 inf + 20363 52.517 * * [simplify]: Extracting #5: cost 5 inf + 31901 52.524 * * [simplify]: Extracting #6: cost 0 inf + 33789 52.537 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 52.537 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (pow k -1/2))) 52.537 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 52.537 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 52.537 * * [simplify]: iters left: 6 (12 enodes) 52.544 * * [simplify]: iters left: 5 (52 enodes) 52.553 * * [simplify]: iters left: 4 (90 enodes) 52.576 * * [simplify]: iters left: 3 (207 enodes) 52.657 * * [simplify]: Extracting #0: cost 1 inf + 0 52.657 * * [simplify]: Extracting #1: cost 29 inf + 0 52.658 * * [simplify]: Extracting #2: cost 88 inf + 73 52.659 * * [simplify]: Extracting #3: cost 117 inf + 443 52.661 * * [simplify]: Extracting #4: cost 77 inf + 5789 52.665 * * [simplify]: Extracting #5: cost 28 inf + 17508 52.673 * * [simplify]: Extracting #6: cost 0 inf + 26056 52.679 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 52.679 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (pow k -1/2))) 52.679 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 52.680 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 52.680 * * [simplify]: iters left: 6 (11 enodes) 52.684 * * [simplify]: iters left: 5 (51 enodes) 52.692 * * [simplify]: iters left: 4 (97 enodes) 52.710 * * [simplify]: iters left: 3 (201 enodes) 52.783 * * [simplify]: Extracting #0: cost 1 inf + 0 52.783 * * [simplify]: Extracting #1: cost 31 inf + 0 52.784 * * [simplify]: Extracting #2: cost 94 inf + 2 52.785 * * [simplify]: Extracting #3: cost 127 inf + 355 52.788 * * [simplify]: Extracting #4: cost 75 inf + 7402 52.794 * * [simplify]: Extracting #5: cost 31 inf + 16283 52.803 * * [simplify]: Extracting #6: cost 3 inf + 23308 52.814 * * [simplify]: Extracting #7: cost 0 inf + 24140 52.824 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 52.824 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 52.825 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 52.825 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 52.825 * [simplify]: Simplifying (* n (* 2 PI)) 52.825 * * [simplify]: iters left: 4 (5 enodes) 52.828 * * [simplify]: iters left: 3 (19 enodes) 52.834 * * [simplify]: iters left: 2 (27 enodes) 52.843 * * [simplify]: iters left: 1 (32 enodes) 52.851 * * [simplify]: Extracting #0: cost 1 inf + 0 52.851 * * [simplify]: Extracting #1: cost 8 inf + 0 52.851 * * [simplify]: Extracting #2: cost 7 inf + 45 52.852 * * [simplify]: Extracting #3: cost 0 inf + 421 52.852 * [simplify]: Simplified to (* (* PI 2) n) 52.852 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 52.852 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 52.852 * [simplify]: Simplifying (* n (* 2 PI)) 52.852 * * [simplify]: iters left: 4 (5 enodes) 52.855 * * [simplify]: iters left: 3 (19 enodes) 52.862 * * [simplify]: iters left: 2 (27 enodes) 52.870 * * [simplify]: iters left: 1 (32 enodes) 52.878 * * [simplify]: Extracting #0: cost 1 inf + 0 52.878 * * [simplify]: Extracting #1: cost 8 inf + 0 52.879 * * [simplify]: Extracting #2: cost 7 inf + 45 52.879 * * [simplify]: Extracting #3: cost 0 inf + 421 52.879 * [simplify]: Simplified to (* (* PI 2) n) 52.879 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 52.879 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 52.880 * [simplify]: Simplifying (* n (* 2 PI)) 52.880 * * [simplify]: iters left: 4 (5 enodes) 52.886 * * [simplify]: iters left: 3 (19 enodes) 52.893 * * [simplify]: iters left: 2 (27 enodes) 52.898 * * [simplify]: iters left: 1 (32 enodes) 52.902 * * [simplify]: Extracting #0: cost 1 inf + 0 52.902 * * [simplify]: Extracting #1: cost 8 inf + 0 52.902 * * [simplify]: Extracting #2: cost 7 inf + 45 52.902 * * [simplify]: Extracting #3: cost 0 inf + 421 52.902 * [simplify]: Simplified to (* (* PI 2) n) 52.902 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 52.902 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 52.903 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 52.903 * * [simplify]: iters left: 5 (8 enodes) 52.905 * * [simplify]: iters left: 4 (31 enodes) 52.910 * * [simplify]: iters left: 3 (51 enodes) 52.919 * * [simplify]: iters left: 2 (85 enodes) 52.938 * * [simplify]: iters left: 1 (152 enodes) 52.993 * * [simplify]: Extracting #0: cost 1 inf + 0 52.993 * * [simplify]: Extracting #1: cost 13 inf + 0 52.996 * * [simplify]: Extracting #2: cost 59 inf + 1 52.996 * * [simplify]: Extracting #3: cost 76 inf + 9 52.997 * * [simplify]: Extracting #4: cost 41 inf + 3303 53.000 * * [simplify]: Extracting #5: cost 16 inf + 10676 53.004 * * [simplify]: Extracting #6: cost 0 inf + 21028 53.006 * * [simplify]: Extracting #7: cost 0 inf + 20456 53.009 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 53.009 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2))) 53.009 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 53.009 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 53.009 * * [simplify]: iters left: 5 (6 enodes) 53.012 * * [simplify]: iters left: 4 (26 enodes) 53.017 * * [simplify]: iters left: 3 (35 enodes) 53.022 * * [simplify]: Extracting #0: cost 1 inf + 0 53.023 * * [simplify]: Extracting #1: cost 3 inf + 0 53.023 * * [simplify]: Extracting #2: cost 8 inf + 0 53.023 * * [simplify]: Extracting #3: cost 11 inf + 2 53.023 * * [simplify]: Extracting #4: cost 8 inf + 87 53.023 * * [simplify]: Extracting #5: cost 2 inf + 500 53.023 * * [simplify]: Extracting #6: cost 0 inf + 746 53.023 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 53.023 * [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))) (pow k -1/2))) 53.023 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 53.023 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 53.023 * * [simplify]: iters left: 5 (6 enodes) 53.026 * * [simplify]: iters left: 4 (26 enodes) 53.030 * * [simplify]: iters left: 3 (35 enodes) 53.035 * * [simplify]: Extracting #0: cost 1 inf + 0 53.035 * * [simplify]: Extracting #1: cost 3 inf + 0 53.035 * * [simplify]: Extracting #2: cost 8 inf + 0 53.035 * * [simplify]: Extracting #3: cost 11 inf + 2 53.035 * * [simplify]: Extracting #4: cost 8 inf + 87 53.035 * * [simplify]: Extracting #5: cost 2 inf + 460 53.036 * * [simplify]: Extracting #6: cost 0 inf + 666 53.036 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 53.036 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2))) 53.036 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 53.036 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 53.036 * * [simplify]: iters left: 5 (7 enodes) 53.038 * * [simplify]: iters left: 4 (25 enodes) 53.043 * * [simplify]: iters left: 3 (30 enodes) 53.048 * * [simplify]: Extracting #0: cost 1 inf + 0 53.048 * * [simplify]: Extracting #1: cost 4 inf + 0 53.048 * * [simplify]: Extracting #2: cost 8 inf + 0 53.048 * * [simplify]: Extracting #3: cost 10 inf + 82 53.048 * * [simplify]: Extracting #4: cost 7 inf + 206 53.048 * * [simplify]: Extracting #5: cost 2 inf + 575 53.048 * * [simplify]: Extracting #6: cost 1 inf + 818 53.048 * * [simplify]: Extracting #7: cost 0 inf + 1061 53.048 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 53.048 * [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))) (pow k -1/2))) 53.049 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 53.049 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 53.049 * * [simplify]: iters left: 5 (7 enodes) 53.051 * * [simplify]: iters left: 4 (25 enodes) 53.055 * * [simplify]: iters left: 3 (30 enodes) 53.060 * * [simplify]: Extracting #0: cost 1 inf + 0 53.060 * * [simplify]: Extracting #1: cost 4 inf + 0 53.060 * * [simplify]: Extracting #2: cost 8 inf + 0 53.060 * * [simplify]: Extracting #3: cost 10 inf + 42 53.060 * * [simplify]: Extracting #4: cost 7 inf + 126 53.060 * * [simplify]: Extracting #5: cost 2 inf + 495 53.060 * * [simplify]: Extracting #6: cost 1 inf + 698 53.061 * * [simplify]: Extracting #7: cost 0 inf + 901 53.061 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 53.061 * [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))) (pow k -1/2))) 53.061 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 53.061 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 53.061 * * [simplify]: iters left: 5 (6 enodes) 53.063 * * [simplify]: iters left: 4 (22 enodes) 53.067 * * [simplify]: iters left: 3 (27 enodes) 53.071 * * [simplify]: Extracting #0: cost 1 inf + 0 53.071 * * [simplify]: Extracting #1: cost 4 inf + 0 53.072 * * [simplify]: Extracting #2: cost 5 inf + 1 53.072 * * [simplify]: Extracting #3: cost 9 inf + 1 53.072 * * [simplify]: Extracting #4: cost 8 inf + 3 53.072 * * [simplify]: Extracting #5: cost 4 inf + 169 53.072 * * [simplify]: Extracting #6: cost 1 inf + 576 53.072 * * [simplify]: Extracting #7: cost 0 inf + 739 53.073 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 53.073 * [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)) (pow k -1/2))) 53.073 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 53.073 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 53.073 * * [simplify]: iters left: 5 (7 enodes) 53.077 * * [simplify]: iters left: 4 (25 enodes) 53.086 * * [simplify]: iters left: 3 (30 enodes) 53.098 * * [simplify]: Extracting #0: cost 1 inf + 0 53.098 * * [simplify]: Extracting #1: cost 4 inf + 0 53.098 * * [simplify]: Extracting #2: cost 8 inf + 0 53.098 * * [simplify]: Extracting #3: cost 10 inf + 82 53.099 * * [simplify]: Extracting #4: cost 7 inf + 206 53.099 * * [simplify]: Extracting #5: cost 2 inf + 495 53.099 * * [simplify]: Extracting #6: cost 1 inf + 698 53.099 * * [simplify]: Extracting #7: cost 0 inf + 901 53.100 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 53.100 * [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))) (pow k -1/2))) 53.100 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 53.100 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 53.100 * * [simplify]: iters left: 5 (7 enodes) 53.105 * * [simplify]: iters left: 4 (25 enodes) 53.114 * * [simplify]: iters left: 3 (30 enodes) 53.123 * * [simplify]: Extracting #0: cost 1 inf + 0 53.123 * * [simplify]: Extracting #1: cost 4 inf + 0 53.124 * * [simplify]: Extracting #2: cost 8 inf + 0 53.124 * * [simplify]: Extracting #3: cost 10 inf + 42 53.124 * * [simplify]: Extracting #4: cost 7 inf + 126 53.124 * * [simplify]: Extracting #5: cost 2 inf + 415 53.124 * * [simplify]: Extracting #6: cost 1 inf + 578 53.125 * * [simplify]: Extracting #7: cost 0 inf + 741 53.125 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 53.125 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 53.125 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 53.125 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 53.126 * * [simplify]: iters left: 5 (6 enodes) 53.130 * * [simplify]: iters left: 4 (22 enodes) 53.137 * * [simplify]: iters left: 3 (27 enodes) 53.145 * * [simplify]: Extracting #0: cost 1 inf + 0 53.146 * * [simplify]: Extracting #1: cost 4 inf + 0 53.146 * * [simplify]: Extracting #2: cost 5 inf + 1 53.146 * * [simplify]: Extracting #3: cost 9 inf + 1 53.146 * * [simplify]: Extracting #4: cost 8 inf + 3 53.146 * * [simplify]: Extracting #5: cost 4 inf + 169 53.146 * * [simplify]: Extracting #6: cost 1 inf + 456 53.146 * * [simplify]: Extracting #7: cost 0 inf + 579 53.147 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 53.147 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))) 53.147 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 53.147 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 53.147 * * [simplify]: iters left: 4 (6 enodes) 53.151 * * [simplify]: iters left: 3 (25 enodes) 53.160 * * [simplify]: iters left: 2 (36 enodes) 53.171 * * [simplify]: iters left: 1 (40 enodes) 53.183 * * [simplify]: Extracting #0: cost 1 inf + 0 53.183 * * [simplify]: Extracting #1: cost 7 inf + 0 53.183 * * [simplify]: Extracting #2: cost 16 inf + 0 53.183 * * [simplify]: Extracting #3: cost 13 inf + 44 53.184 * * [simplify]: Extracting #4: cost 3 inf + 1103 53.184 * * [simplify]: Extracting #5: cost 0 inf + 1469 53.185 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 53.185 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 53.185 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 53.185 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 53.185 * * [simplify]: iters left: 4 (6 enodes) 53.189 * * [simplify]: iters left: 3 (25 enodes) 53.198 * * [simplify]: iters left: 2 (36 enodes) 53.209 * * [simplify]: iters left: 1 (40 enodes) 53.221 * * [simplify]: Extracting #0: cost 1 inf + 0 53.221 * * [simplify]: Extracting #1: cost 7 inf + 0 53.221 * * [simplify]: Extracting #2: cost 16 inf + 0 53.221 * * [simplify]: Extracting #3: cost 13 inf + 44 53.222 * * [simplify]: Extracting #4: cost 3 inf + 823 53.222 * * [simplify]: Extracting #5: cost 0 inf + 1069 53.223 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 53.223 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 53.223 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 53.223 * [simplify]: Simplifying (/ (- 1 k) 2) 53.223 * * [simplify]: iters left: 4 (5 enodes) 53.227 * * [simplify]: iters left: 3 (23 enodes) 53.234 * * [simplify]: iters left: 2 (32 enodes) 53.247 * * [simplify]: Extracting #0: cost 1 inf + 0 53.247 * * [simplify]: Extracting #1: cost 6 inf + 0 53.247 * * [simplify]: Extracting #2: cost 9 inf + 2 53.247 * * [simplify]: Extracting #3: cost 6 inf + 87 53.248 * * [simplify]: Extracting #4: cost 0 inf + 420 53.248 * [simplify]: Simplified to (/ (- 1 k) 2) 53.248 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 53.248 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 53.248 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 53.249 * * [simplify]: iters left: 5 (8 enodes) 53.254 * * [simplify]: iters left: 4 (31 enodes) 53.264 * * [simplify]: iters left: 3 (45 enodes) 53.278 * * [simplify]: iters left: 2 (51 enodes) 53.292 * * [simplify]: iters left: 1 (52 enodes) 53.306 * * [simplify]: Extracting #0: cost 1 inf + 0 53.306 * * [simplify]: Extracting #1: cost 8 inf + 0 53.306 * * [simplify]: Extracting #2: cost 18 inf + 0 53.307 * * [simplify]: Extracting #3: cost 19 inf + 2 53.307 * * [simplify]: Extracting #4: cost 9 inf + 977 53.307 * * [simplify]: Extracting #5: cost 2 inf + 1790 53.308 * * [simplify]: Extracting #6: cost 0 inf + 2195 53.309 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 53.309 * [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))) (pow k -1/2))) 53.309 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 53.309 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 53.309 * * [simplify]: iters left: 5 (8 enodes) 53.315 * * [simplify]: iters left: 4 (31 enodes) 53.325 * * [simplify]: iters left: 3 (45 enodes) 53.338 * * [simplify]: iters left: 2 (51 enodes) 53.352 * * [simplify]: iters left: 1 (52 enodes) 53.365 * * [simplify]: Extracting #0: cost 1 inf + 0 53.365 * * [simplify]: Extracting #1: cost 8 inf + 0 53.365 * * [simplify]: Extracting #2: cost 18 inf + 0 53.365 * * [simplify]: Extracting #3: cost 19 inf + 2 53.365 * * [simplify]: Extracting #4: cost 9 inf + 697 53.366 * * [simplify]: Extracting #5: cost 2 inf + 1390 53.367 * * [simplify]: Extracting #6: cost 0 inf + 1715 53.367 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 53.367 * [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))) (pow k -1/2))) 53.368 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 53.368 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 53.368 * * [simplify]: iters left: 5 (7 enodes) 53.373 * * [simplify]: iters left: 4 (29 enodes) 53.382 * * [simplify]: iters left: 3 (43 enodes) 53.393 * * [simplify]: iters left: 2 (47 enodes) 53.409 * * [simplify]: Extracting #0: cost 1 inf + 0 53.409 * * [simplify]: Extracting #1: cost 7 inf + 0 53.409 * * [simplify]: Extracting #2: cost 11 inf + 2 53.409 * * [simplify]: Extracting #3: cost 13 inf + 3 53.409 * * [simplify]: Extracting #4: cost 11 inf + 45 53.409 * * [simplify]: Extracting #5: cost 0 inf + 1066 53.410 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 53.410 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 53.410 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 53.410 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 53.410 * * [simplify]: iters left: 5 (7 enodes) 53.415 * * [simplify]: iters left: 4 (28 enodes) 53.424 * * [simplify]: iters left: 3 (39 enodes) 53.436 * * [simplify]: iters left: 2 (43 enodes) 53.448 * * [simplify]: Extracting #0: cost 1 inf + 0 53.448 * * [simplify]: Extracting #1: cost 7 inf + 0 53.448 * * [simplify]: Extracting #2: cost 16 inf + 0 53.448 * * [simplify]: Extracting #3: cost 15 inf + 164 53.448 * * [simplify]: Extracting #4: cost 13 inf + 287 53.449 * * [simplify]: Extracting #5: cost 5 inf + 1180 53.449 * * [simplify]: Extracting #6: cost 0 inf + 1951 53.450 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 53.450 * [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))) (pow k -1/2))) 53.450 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 53.450 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 53.450 * * [simplify]: iters left: 5 (7 enodes) 53.455 * * [simplify]: iters left: 4 (28 enodes) 53.464 * * [simplify]: iters left: 3 (39 enodes) 53.477 * * [simplify]: iters left: 2 (43 enodes) 53.490 * * [simplify]: Extracting #0: cost 1 inf + 0 53.490 * * [simplify]: Extracting #1: cost 7 inf + 0 53.490 * * [simplify]: Extracting #2: cost 16 inf + 0 53.490 * * [simplify]: Extracting #3: cost 15 inf + 84 53.490 * * [simplify]: Extracting #4: cost 13 inf + 167 53.491 * * [simplify]: Extracting #5: cost 5 inf + 900 53.491 * * [simplify]: Extracting #6: cost 0 inf + 1551 53.491 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 53.491 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2))) 53.491 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 53.491 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 53.492 * * [simplify]: iters left: 5 (6 enodes) 53.494 * * [simplify]: iters left: 4 (26 enodes) 53.498 * * [simplify]: iters left: 3 (35 enodes) 53.503 * * [simplify]: Extracting #0: cost 1 inf + 0 53.503 * * [simplify]: Extracting #1: cost 6 inf + 0 53.503 * * [simplify]: Extracting #2: cost 9 inf + 2 53.503 * * [simplify]: Extracting #3: cost 11 inf + 3 53.503 * * [simplify]: Extracting #4: cost 10 inf + 4 53.504 * * [simplify]: Extracting #5: cost 3 inf + 535 53.504 * * [simplify]: Extracting #6: cost 0 inf + 822 53.504 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 53.504 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 53.504 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 53.504 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 53.504 * * [simplify]: iters left: 4 (6 enodes) 53.506 * * [simplify]: iters left: 3 (25 enodes) 53.511 * * [simplify]: iters left: 2 (36 enodes) 53.516 * * [simplify]: iters left: 1 (40 enodes) 53.527 * * [simplify]: Extracting #0: cost 1 inf + 0 53.527 * * [simplify]: Extracting #1: cost 7 inf + 0 53.527 * * [simplify]: Extracting #2: cost 16 inf + 0 53.527 * * [simplify]: Extracting #3: cost 13 inf + 44 53.527 * * [simplify]: Extracting #4: cost 3 inf + 1103 53.528 * * [simplify]: Extracting #5: cost 0 inf + 1469 53.528 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 53.528 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 53.529 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 53.529 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 53.529 * * [simplify]: iters left: 4 (6 enodes) 53.536 * * [simplify]: iters left: 3 (25 enodes) 53.545 * * [simplify]: iters left: 2 (36 enodes) 53.556 * * [simplify]: iters left: 1 (40 enodes) 53.569 * * [simplify]: Extracting #0: cost 1 inf + 0 53.569 * * [simplify]: Extracting #1: cost 7 inf + 0 53.569 * * [simplify]: Extracting #2: cost 16 inf + 0 53.569 * * [simplify]: Extracting #3: cost 13 inf + 44 53.569 * * [simplify]: Extracting #4: cost 3 inf + 823 53.570 * * [simplify]: Extracting #5: cost 0 inf + 1069 53.570 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 53.570 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 53.571 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 53.571 * [simplify]: Simplifying (/ (- 1 k) 2) 53.571 * * [simplify]: iters left: 4 (5 enodes) 53.575 * * [simplify]: iters left: 3 (23 enodes) 53.583 * * [simplify]: iters left: 2 (32 enodes) 53.592 * * [simplify]: Extracting #0: cost 1 inf + 0 53.593 * * [simplify]: Extracting #1: cost 6 inf + 0 53.593 * * [simplify]: Extracting #2: cost 9 inf + 2 53.593 * * [simplify]: Extracting #3: cost 6 inf + 87 53.593 * * [simplify]: Extracting #4: cost 0 inf + 420 53.593 * [simplify]: Simplified to (/ (- 1 k) 2) 53.593 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 53.593 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 53.594 * [simplify]: Simplifying (/ (- 1 k) 2) 53.594 * * [simplify]: iters left: 4 (5 enodes) 53.597 * * [simplify]: iters left: 3 (23 enodes) 53.601 * * [simplify]: iters left: 2 (32 enodes) 53.606 * * [simplify]: Extracting #0: cost 1 inf + 0 53.606 * * [simplify]: Extracting #1: cost 6 inf + 0 53.606 * * [simplify]: Extracting #2: cost 9 inf + 2 53.606 * * [simplify]: Extracting #3: cost 6 inf + 87 53.606 * * [simplify]: Extracting #4: cost 0 inf + 420 53.607 * [simplify]: Simplified to (/ (- 1 k) 2) 53.607 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2))) 53.607 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 53.607 * [simplify]: Simplifying (/ 1 2) 53.607 * * [simplify]: iters left: 2 (3 enodes) 53.608 * * [simplify]: iters left: 1 (12 enodes) 53.611 * * [simplify]: Extracting #0: cost 1 inf + 0 53.611 * * [simplify]: Extracting #1: cost 0 inf + 1 53.611 * [simplify]: Simplified to 1/2 53.611 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (pow k -1/2))) 53.611 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 53.611 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 53.611 * * [simplify]: iters left: 5 (7 enodes) 53.613 * * [simplify]: iters left: 4 (32 enodes) 53.619 * * [simplify]: iters left: 3 (57 enodes) 53.629 * * [simplify]: iters left: 2 (88 enodes) 53.646 * * [simplify]: iters left: 1 (156 enodes) 53.688 * * [simplify]: Extracting #0: cost 1 inf + 0 53.688 * * [simplify]: Extracting #1: cost 13 inf + 0 53.689 * * [simplify]: Extracting #2: cost 49 inf + 2 53.689 * * [simplify]: Extracting #3: cost 80 inf + 6 53.690 * * [simplify]: Extracting #4: cost 58 inf + 1840 53.693 * * [simplify]: Extracting #5: cost 22 inf + 9206 53.698 * * [simplify]: Extracting #6: cost 1 inf + 20886 53.704 * * [simplify]: Extracting #7: cost 0 inf + 21301 53.710 * * [simplify]: Extracting #8: cost 0 inf + 21130 53.715 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 53.715 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 53.715 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 53.715 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 53.715 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 53.715 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 53.715 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 53.715 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 53.715 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 53.716 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 53.716 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))> 53.716 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 53.716 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 53.716 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 53.716 * [simplify]: Simplifying (* n (* 2 PI)) 53.716 * * [simplify]: iters left: 4 (5 enodes) 53.717 * * [simplify]: iters left: 3 (19 enodes) 53.720 * * [simplify]: iters left: 2 (27 enodes) 53.724 * * [simplify]: iters left: 1 (32 enodes) 53.728 * * [simplify]: Extracting #0: cost 1 inf + 0 53.728 * * [simplify]: Extracting #1: cost 8 inf + 0 53.728 * * [simplify]: Extracting #2: cost 7 inf + 45 53.728 * * [simplify]: Extracting #3: cost 0 inf + 421 53.729 * [simplify]: Simplified to (* (* PI 2) n) 53.729 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 53.729 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 53.729 * [simplify]: Simplifying (* n (* 2 PI)) 53.729 * * [simplify]: iters left: 4 (5 enodes) 53.730 * * [simplify]: iters left: 3 (19 enodes) 53.733 * * [simplify]: iters left: 2 (27 enodes) 53.738 * * [simplify]: iters left: 1 (32 enodes) 53.745 * * [simplify]: Extracting #0: cost 1 inf + 0 53.746 * * [simplify]: Extracting #1: cost 8 inf + 0 53.746 * * [simplify]: Extracting #2: cost 7 inf + 45 53.746 * * [simplify]: Extracting #3: cost 0 inf + 421 53.746 * [simplify]: Simplified to (* (* PI 2) n) 53.746 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 53.746 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 53.746 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 53.747 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 53.747 * * [simplify]: iters left: 5 (8 enodes) 53.751 * * [simplify]: iters left: 4 (28 enodes) 53.760 * * [simplify]: iters left: 3 (36 enodes) 53.770 * * [simplify]: iters left: 2 (42 enodes) 53.781 * * [simplify]: Extracting #0: cost 1 inf + 0 53.781 * * [simplify]: Extracting #1: cost 8 inf + 0 53.781 * * [simplify]: Extracting #2: cost 17 inf + 0 53.781 * * [simplify]: Extracting #3: cost 12 inf + 145 53.781 * * [simplify]: Extracting #4: cost 5 inf + 1197 53.782 * * [simplify]: Extracting #5: cost 1 inf + 1925 53.783 * * [simplify]: Extracting #6: cost 0 inf + 2107 53.783 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 53.783 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 53.783 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 53.784 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 53.784 * * [simplify]: iters left: 5 (7 enodes) 53.788 * * [simplify]: iters left: 4 (26 enodes) 53.796 * * [simplify]: iters left: 3 (35 enodes) 53.807 * * [simplify]: iters left: 2 (44 enodes) 53.819 * * [simplify]: Extracting #0: cost 1 inf + 0 53.820 * * [simplify]: Extracting #1: cost 8 inf + 0 53.820 * * [simplify]: Extracting #2: cost 18 inf + 0 53.820 * * [simplify]: Extracting #3: cost 15 inf + 74 53.820 * * [simplify]: Extracting #4: cost 8 inf + 554 53.820 * * [simplify]: Extracting #5: cost 0 inf + 1911 53.821 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 53.821 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 53.821 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 53.821 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 53.821 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 53.822 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 53.822 * * [simplify]: iters left: 6 (11 enodes) 53.830 * * [simplify]: iters left: 5 (48 enodes) 53.842 * * [simplify]: iters left: 4 (121 enodes) 53.880 * * [simplify]: iters left: 3 (348 enodes) 54.164 * * [simplify]: Extracting #0: cost 1 inf + 0 54.164 * * [simplify]: Extracting #1: cost 67 inf + 0 54.166 * * [simplify]: Extracting #2: cost 165 inf + 786 54.169 * * [simplify]: Extracting #3: cost 85 inf + 10177 54.175 * * [simplify]: Extracting #4: cost 9 inf + 26399 54.185 * * [simplify]: Extracting #5: cost 0 inf + 28546 54.191 * * [simplify]: Extracting #6: cost 0 inf + 28506 54.198 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 54.198 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (pow k -1/2))) 54.198 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 54.198 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 54.198 * * [simplify]: iters left: 6 (9 enodes) 54.202 * * [simplify]: iters left: 5 (45 enodes) 54.211 * * [simplify]: iters left: 4 (117 enodes) 54.260 * * [simplify]: iters left: 3 (374 enodes) 54.567 * * [simplify]: Extracting #0: cost 1 inf + 0 54.567 * * [simplify]: Extracting #1: cost 77 inf + 0 54.568 * * [simplify]: Extracting #2: cost 184 inf + 984 54.571 * * [simplify]: Extracting #3: cost 106 inf + 11690 54.584 * * [simplify]: Extracting #4: cost 6 inf + 30376 54.596 * * [simplify]: Extracting #5: cost 0 inf + 31644 54.614 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 54.614 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (pow k -1/2))) 54.615 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 54.615 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 54.615 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 54.615 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 54.615 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 54.615 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 54.615 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 54.615 * * [simplify]: iters left: 3 (3 enodes) 54.617 * * [simplify]: iters left: 2 (9 enodes) 54.619 * * [simplify]: Extracting #0: cost 1 inf + 0 54.619 * * [simplify]: Extracting #1: cost 3 inf + 0 54.619 * * [simplify]: Extracting #2: cost 5 inf + 0 54.620 * * [simplify]: Extracting #3: cost 4 inf + 1 54.620 * * [simplify]: Extracting #4: cost 0 inf + 405 54.620 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 54.620 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 54.620 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 54.620 * [simplify]: Simplifying (sqrt n) 54.620 * * [simplify]: iters left: 1 (2 enodes) 54.621 * * [simplify]: Extracting #0: cost 1 inf + 0 54.621 * * [simplify]: Extracting #1: cost 3 inf + 0 54.621 * * [simplify]: Extracting #2: cost 2 inf + 1 54.621 * * [simplify]: Extracting #3: cost 0 inf + 83 54.621 * [simplify]: Simplified to (sqrt n) 54.621 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 54.622 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 54.622 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))> 54.622 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 54.622 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 54.622 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 54.622 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 54.622 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 54.622 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 54.622 * * [simplify]: iters left: 6 (17 enodes) 54.633 * * [simplify]: iters left: 5 (69 enodes) 54.656 * * [simplify]: iters left: 4 (115 enodes) 54.705 * * [simplify]: iters left: 3 (296 enodes) 54.839 * * [simplify]: Extracting #0: cost 1 inf + 0 54.839 * * [simplify]: Extracting #1: cost 28 inf + 0 54.839 * * [simplify]: Extracting #2: cost 82 inf + 1 54.840 * * [simplify]: Extracting #3: cost 126 inf + 148 54.843 * * [simplify]: Extracting #4: cost 112 inf + 6630 54.856 * * [simplify]: Extracting #5: cost 9 inf + 36683 54.874 * * [simplify]: Extracting #6: cost 0 inf + 39789 54.891 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 54.891 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 54.891 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 54.891 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 54.892 * * [simplify]: iters left: 6 (17 enodes) 54.901 * * [simplify]: iters left: 5 (69 enodes) 54.924 * * [simplify]: iters left: 4 (115 enodes) 54.977 * * [simplify]: iters left: 3 (296 enodes) 55.103 * * [simplify]: Extracting #0: cost 1 inf + 0 55.103 * * [simplify]: Extracting #1: cost 28 inf + 0 55.103 * * [simplify]: Extracting #2: cost 82 inf + 1 55.104 * * [simplify]: Extracting #3: cost 126 inf + 148 55.107 * * [simplify]: Extracting #4: cost 112 inf + 6630 55.121 * * [simplify]: Extracting #5: cost 9 inf + 36683 55.138 * * [simplify]: Extracting #6: cost 0 inf + 39789 55.158 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 55.159 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 55.159 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 55.159 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 55.159 * * [simplify]: iters left: 6 (17 enodes) 55.170 * * [simplify]: iters left: 5 (74 enodes) 55.195 * * [simplify]: iters left: 4 (136 enodes) 55.233 * * [simplify]: iters left: 3 (358 enodes) 55.391 * * [simplify]: Extracting #0: cost 1 inf + 0 55.391 * * [simplify]: Extracting #1: cost 34 inf + 0 55.391 * * [simplify]: Extracting #2: cost 114 inf + 2 55.392 * * [simplify]: Extracting #3: cost 153 inf + 1769 55.394 * * [simplify]: Extracting #4: cost 136 inf + 12123 55.402 * * [simplify]: Extracting #5: cost 37 inf + 41017 55.412 * * [simplify]: Extracting #6: cost 0 inf + 54823 55.424 * * [simplify]: Extracting #7: cost 0 inf + 54817 55.445 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 55.446 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 55.446 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 55.446 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 55.446 * * [simplify]: iters left: 6 (16 enodes) 55.456 * * [simplify]: iters left: 5 (67 enodes) 55.483 * * [simplify]: iters left: 4 (108 enodes) 55.513 * * [simplify]: iters left: 3 (240 enodes) 55.594 * * [simplify]: Extracting #0: cost 1 inf + 0 55.594 * * [simplify]: Extracting #1: cost 25 inf + 0 55.595 * * [simplify]: Extracting #2: cost 74 inf + 1 55.595 * * [simplify]: Extracting #3: cost 112 inf + 261 55.597 * * [simplify]: Extracting #4: cost 91 inf + 8198 55.601 * * [simplify]: Extracting #5: cost 28 inf + 24140 55.613 * * [simplify]: Extracting #6: cost 5 inf + 31172 55.627 * * [simplify]: Extracting #7: cost 0 inf + 32347 55.642 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 55.642 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 55.642 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 55.643 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 55.643 * * [simplify]: iters left: 6 (16 enodes) 55.652 * * [simplify]: iters left: 5 (67 enodes) 55.675 * * [simplify]: iters left: 4 (108 enodes) 55.719 * * [simplify]: iters left: 3 (240 enodes) 55.804 * * [simplify]: Extracting #0: cost 1 inf + 0 55.805 * * [simplify]: Extracting #1: cost 25 inf + 0 55.805 * * [simplify]: Extracting #2: cost 74 inf + 1 55.805 * * [simplify]: Extracting #3: cost 112 inf + 261 55.807 * * [simplify]: Extracting #4: cost 91 inf + 8198 55.811 * * [simplify]: Extracting #5: cost 28 inf + 24140 55.818 * * [simplify]: Extracting #6: cost 5 inf + 31172 55.827 * * [simplify]: Extracting #7: cost 0 inf + 32347 55.841 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 55.841 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 55.841 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 55.842 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 55.842 * * [simplify]: iters left: 6 (16 enodes) 55.847 * * [simplify]: iters left: 5 (72 enodes) 55.861 * * [simplify]: iters left: 4 (129 enodes) 55.900 * * [simplify]: iters left: 3 (301 enodes) 56.043 * * [simplify]: Extracting #0: cost 1 inf + 0 56.043 * * [simplify]: Extracting #1: cost 27 inf + 0 56.044 * * [simplify]: Extracting #2: cost 90 inf + 2 56.045 * * [simplify]: Extracting #3: cost 137 inf + 386 56.048 * * [simplify]: Extracting #4: cost 125 inf + 7978 56.057 * * [simplify]: Extracting #5: cost 47 inf + 29279 56.072 * * [simplify]: Extracting #6: cost 5 inf + 40891 56.089 * * [simplify]: Extracting #7: cost 0 inf + 42553 56.106 * * [simplify]: Extracting #8: cost 0 inf + 42513 56.127 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 56.127 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 56.127 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 56.127 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 56.128 * * [simplify]: iters left: 6 (15 enodes) 56.136 * * [simplify]: iters left: 5 (66 enodes) 56.159 * * [simplify]: iters left: 4 (115 enodes) 56.184 * * [simplify]: iters left: 3 (227 enodes) 56.283 * * [simplify]: Extracting #0: cost 1 inf + 0 56.284 * * [simplify]: Extracting #1: cost 21 inf + 0 56.284 * * [simplify]: Extracting #2: cost 77 inf + 1 56.285 * * [simplify]: Extracting #3: cost 116 inf + 119 56.286 * * [simplify]: Extracting #4: cost 112 inf + 3893 56.293 * * [simplify]: Extracting #5: cost 22 inf + 22777 56.303 * * [simplify]: Extracting #6: cost 0 inf + 29271 56.315 * * [simplify]: Extracting #7: cost 0 inf + 29267 56.326 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 56.327 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 56.327 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 56.327 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 56.327 * * [simplify]: iters left: 6 (15 enodes) 56.335 * * [simplify]: iters left: 5 (66 enodes) 56.356 * * [simplify]: iters left: 4 (115 enodes) 56.376 * * [simplify]: iters left: 3 (227 enodes) 56.466 * * [simplify]: Extracting #0: cost 1 inf + 0 56.466 * * [simplify]: Extracting #1: cost 21 inf + 0 56.467 * * [simplify]: Extracting #2: cost 77 inf + 1 56.468 * * [simplify]: Extracting #3: cost 116 inf + 119 56.469 * * [simplify]: Extracting #4: cost 112 inf + 3893 56.477 * * [simplify]: Extracting #5: cost 22 inf + 22777 56.489 * * [simplify]: Extracting #6: cost 0 inf + 29271 56.502 * * [simplify]: Extracting #7: cost 0 inf + 29267 56.508 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 56.508 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 56.509 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 56.509 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 56.509 * * [simplify]: iters left: 6 (15 enodes) 56.513 * * [simplify]: iters left: 5 (71 enodes) 56.526 * * [simplify]: iters left: 4 (136 enodes) 56.571 * * [simplify]: iters left: 3 (288 enodes) 56.679 * * [simplify]: Extracting #0: cost 1 inf + 0 56.679 * * [simplify]: Extracting #1: cost 23 inf + 0 56.679 * * [simplify]: Extracting #2: cost 90 inf + 2 56.679 * * [simplify]: Extracting #3: cost 138 inf + 245 56.681 * * [simplify]: Extracting #4: cost 128 inf + 7351 56.684 * * [simplify]: Extracting #5: cost 67 inf + 19338 56.694 * * [simplify]: Extracting #6: cost 4 inf + 36710 56.709 * * [simplify]: Extracting #7: cost 0 inf + 37798 56.724 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 56.724 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 56.724 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 56.725 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 56.725 * * [simplify]: iters left: 6 (15 enodes) 56.733 * * [simplify]: iters left: 5 (66 enodes) 56.747 * * [simplify]: iters left: 4 (115 enodes) 56.769 * * [simplify]: iters left: 3 (227 enodes) 56.850 * * [simplify]: Extracting #0: cost 1 inf + 0 56.850 * * [simplify]: Extracting #1: cost 21 inf + 0 56.850 * * [simplify]: Extracting #2: cost 77 inf + 1 56.851 * * [simplify]: Extracting #3: cost 116 inf + 119 56.852 * * [simplify]: Extracting #4: cost 112 inf + 3893 56.856 * * [simplify]: Extracting #5: cost 22 inf + 22777 56.864 * * [simplify]: Extracting #6: cost 0 inf + 29271 56.870 * * [simplify]: Extracting #7: cost 0 inf + 29267 56.877 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 56.878 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 56.878 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 56.878 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 56.878 * * [simplify]: iters left: 6 (15 enodes) 56.886 * * [simplify]: iters left: 5 (66 enodes) 56.907 * * [simplify]: iters left: 4 (115 enodes) 56.946 * * [simplify]: iters left: 3 (227 enodes) 57.030 * * [simplify]: Extracting #0: cost 1 inf + 0 57.030 * * [simplify]: Extracting #1: cost 21 inf + 0 57.030 * * [simplify]: Extracting #2: cost 77 inf + 1 57.031 * * [simplify]: Extracting #3: cost 116 inf + 119 57.033 * * [simplify]: Extracting #4: cost 112 inf + 3893 57.041 * * [simplify]: Extracting #5: cost 22 inf + 22777 57.053 * * [simplify]: Extracting #6: cost 0 inf + 29271 57.066 * * [simplify]: Extracting #7: cost 0 inf + 29267 57.078 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 57.078 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 57.078 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 57.078 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 57.079 * * [simplify]: iters left: 6 (15 enodes) 57.086 * * [simplify]: iters left: 5 (71 enodes) 57.099 * * [simplify]: iters left: 4 (136 enodes) 57.132 * * [simplify]: iters left: 3 (288 enodes) 57.241 * * [simplify]: Extracting #0: cost 1 inf + 0 57.241 * * [simplify]: Extracting #1: cost 23 inf + 0 57.242 * * [simplify]: Extracting #2: cost 90 inf + 2 57.243 * * [simplify]: Extracting #3: cost 138 inf + 245 57.246 * * [simplify]: Extracting #4: cost 128 inf + 7351 57.253 * * [simplify]: Extracting #5: cost 67 inf + 19338 57.266 * * [simplify]: Extracting #6: cost 4 inf + 36710 57.280 * * [simplify]: Extracting #7: cost 0 inf + 37798 57.296 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 57.296 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 57.297 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 57.297 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 57.297 * * [simplify]: iters left: 6 (15 enodes) 57.302 * * [simplify]: iters left: 5 (64 enodes) 57.314 * * [simplify]: iters left: 4 (114 enodes) 57.334 * * [simplify]: iters left: 3 (219 enodes) 57.401 * * [simplify]: Extracting #0: cost 1 inf + 0 57.401 * * [simplify]: Extracting #1: cost 20 inf + 0 57.402 * * [simplify]: Extracting #2: cost 102 inf + 1 57.402 * * [simplify]: Extracting #3: cost 158 inf + 77 57.403 * * [simplify]: Extracting #4: cost 153 inf + 1729 57.406 * * [simplify]: Extracting #5: cost 59 inf + 18516 57.412 * * [simplify]: Extracting #6: cost 3 inf + 36403 57.419 * * [simplify]: Extracting #7: cost 0 inf + 37672 57.426 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))) 57.426 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))))) 57.426 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 57.426 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 57.426 * * [simplify]: iters left: 6 (15 enodes) 57.435 * * [simplify]: iters left: 5 (64 enodes) 57.458 * * [simplify]: iters left: 4 (114 enodes) 57.487 * * [simplify]: iters left: 3 (219 enodes) 57.567 * * [simplify]: Extracting #0: cost 1 inf + 0 57.567 * * [simplify]: Extracting #1: cost 20 inf + 0 57.567 * * [simplify]: Extracting #2: cost 102 inf + 1 57.568 * * [simplify]: Extracting #3: cost 158 inf + 77 57.570 * * [simplify]: Extracting #4: cost 153 inf + 1729 57.575 * * [simplify]: Extracting #5: cost 59 inf + 18516 57.587 * * [simplify]: Extracting #6: cost 3 inf + 36403 57.600 * * [simplify]: Extracting #7: cost 0 inf + 37672 57.616 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))) 57.617 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))))) 57.617 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 57.617 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2))) 57.617 * * [simplify]: iters left: 6 (15 enodes) 57.623 * * [simplify]: iters left: 5 (69 enodes) 57.635 * * [simplify]: iters left: 4 (135 enodes) 57.662 * * [simplify]: iters left: 3 (275 enodes) 57.730 * * [simplify]: Extracting #0: cost 1 inf + 0 57.731 * * [simplify]: Extracting #1: cost 25 inf + 0 57.731 * * [simplify]: Extracting #2: cost 127 inf + 2 57.732 * * [simplify]: Extracting #3: cost 188 inf + 416 57.736 * * [simplify]: Extracting #4: cost 121 inf + 18191 57.746 * * [simplify]: Extracting #5: cost 27 inf + 41295 57.754 * * [simplify]: Extracting #6: cost 3 inf + 47356 57.763 * * [simplify]: Extracting #7: cost 0 inf + 49197 57.771 * [simplify]: Simplified to (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)) 57.771 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)))) 57.771 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 57.771 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 57.771 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 57.771 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 57.772 * * [simplify]: iters left: 6 (17 enodes) 57.781 * * [simplify]: iters left: 5 (82 enodes) 57.808 * * [simplify]: iters left: 4 (191 enodes) 57.919 * * [simplify]: Extracting #0: cost 1 inf + 0 57.919 * * [simplify]: Extracting #1: cost 37 inf + 0 57.920 * * [simplify]: Extracting #2: cost 149 inf + 1 57.920 * * [simplify]: Extracting #3: cost 164 inf + 1227 57.921 * * [simplify]: Extracting #4: cost 143 inf + 7877 57.925 * * [simplify]: Extracting #5: cost 99 inf + 21139 57.943 * * [simplify]: Extracting #6: cost 16 inf + 78579 57.960 * * [simplify]: Extracting #7: cost 0 inf + 89084 57.971 * * [simplify]: Extracting #8: cost 0 inf + 88809 57.982 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 57.983 * [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)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))))) 57.983 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 57.983 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 57.983 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 57.983 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 57.983 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 57.984 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 57.984 * * [simplify]: iters left: 6 (15 enodes) 57.994 * * [simplify]: iters left: 5 (65 enodes) 58.013 * * [simplify]: iters left: 4 (115 enodes) 58.041 * * [simplify]: iters left: 3 (196 enodes) 58.107 * * [simplify]: iters left: 2 (351 enodes) 58.251 * * [simplify]: Extracting #0: cost 1 inf + 0 58.251 * * [simplify]: Extracting #1: cost 23 inf + 0 58.251 * * [simplify]: Extracting #2: cost 77 inf + 0 58.252 * * [simplify]: Extracting #3: cost 90 inf + 7 58.253 * * [simplify]: Extracting #4: cost 142 inf + 10 58.255 * * [simplify]: Extracting #5: cost 144 inf + 4587 58.263 * * [simplify]: Extracting #6: cost 61 inf + 38130 58.277 * * [simplify]: Extracting #7: cost 12 inf + 66391 58.299 * * [simplify]: Extracting #8: cost 0 inf + 74148 58.317 * * [simplify]: Extracting #9: cost 0 inf + 74108 58.334 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 58.334 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 58.335 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 58.335 * * [simplify]: iters left: 6 (15 enodes) 58.343 * * [simplify]: iters left: 5 (65 enodes) 58.357 * * [simplify]: iters left: 4 (115 enodes) 58.377 * * [simplify]: iters left: 3 (196 enodes) 58.430 * * [simplify]: iters left: 2 (351 enodes) 58.559 * * [simplify]: Extracting #0: cost 1 inf + 0 58.559 * * [simplify]: Extracting #1: cost 23 inf + 0 58.560 * * [simplify]: Extracting #2: cost 77 inf + 0 58.561 * * [simplify]: Extracting #3: cost 90 inf + 7 58.561 * * [simplify]: Extracting #4: cost 142 inf + 10 58.563 * * [simplify]: Extracting #5: cost 144 inf + 4587 58.571 * * [simplify]: Extracting #6: cost 61 inf + 38130 58.586 * * [simplify]: Extracting #7: cost 12 inf + 66391 58.603 * * [simplify]: Extracting #8: cost 0 inf + 74148 58.621 * * [simplify]: Extracting #9: cost 0 inf + 74108 58.630 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 58.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 58.630 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 58.630 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 58.631 * * [simplify]: iters left: 6 (15 enodes) 58.639 * * [simplify]: iters left: 5 (65 enodes) 58.651 * * [simplify]: iters left: 4 (112 enodes) 58.680 * * [simplify]: iters left: 3 (182 enodes) 58.739 * * [simplify]: iters left: 2 (308 enodes) 58.840 * * [simplify]: Extracting #0: cost 1 inf + 0 58.840 * * [simplify]: Extracting #1: cost 4 inf + 0 58.841 * * [simplify]: Extracting #2: cost 10 inf + 0 58.841 * * [simplify]: Extracting #3: cost 40 inf + 0 58.841 * * [simplify]: Extracting #4: cost 114 inf + 4 58.842 * * [simplify]: Extracting #5: cost 116 inf + 2872 58.847 * * [simplify]: Extracting #6: cost 49 inf + 20626 58.855 * * [simplify]: Extracting #7: cost 15 inf + 34343 58.865 * * [simplify]: Extracting #8: cost 0 inf + 43332 58.875 * * [simplify]: Extracting #9: cost 0 inf + 42527 58.890 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 58.890 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 58.890 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 58.891 * * [simplify]: iters left: 6 (15 enodes) 58.899 * * [simplify]: iters left: 5 (65 enodes) 58.912 * * [simplify]: iters left: 4 (112 enodes) 58.935 * * [simplify]: iters left: 3 (182 enodes) 58.997 * * [simplify]: iters left: 2 (308 enodes) 59.088 * * [simplify]: Extracting #0: cost 1 inf + 0 59.088 * * [simplify]: Extracting #1: cost 4 inf + 0 59.088 * * [simplify]: Extracting #2: cost 10 inf + 0 59.088 * * [simplify]: Extracting #3: cost 40 inf + 0 59.088 * * [simplify]: Extracting #4: cost 114 inf + 4 59.089 * * [simplify]: Extracting #5: cost 116 inf + 2872 59.091 * * [simplify]: Extracting #6: cost 49 inf + 20626 59.095 * * [simplify]: Extracting #7: cost 15 inf + 34343 59.101 * * [simplify]: Extracting #8: cost 0 inf + 43332 59.109 * * [simplify]: Extracting #9: cost 0 inf + 42527 59.114 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 59.114 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 59.114 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 59.114 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 59.115 * * [simplify]: iters left: 6 (15 enodes) 59.124 * * [simplify]: iters left: 5 (66 enodes) 59.147 * * [simplify]: iters left: 4 (121 enodes) 59.171 * * [simplify]: iters left: 3 (217 enodes) 59.223 * * [simplify]: iters left: 2 (372 enodes) 59.321 * * [simplify]: Extracting #0: cost 1 inf + 0 59.321 * * [simplify]: Extracting #1: cost 25 inf + 0 59.322 * * [simplify]: Extracting #2: cost 79 inf + 0 59.322 * * [simplify]: Extracting #3: cost 86 inf + 644 59.324 * * [simplify]: Extracting #4: cost 125 inf + 4695 59.326 * * [simplify]: Extracting #5: cost 122 inf + 12699 59.335 * * [simplify]: Extracting #6: cost 47 inf + 50641 59.349 * * [simplify]: Extracting #7: cost 0 inf + 71560 59.358 * * [simplify]: Extracting #8: cost 0 inf + 70898 59.367 * * [simplify]: Extracting #9: cost 0 inf + 70778 59.376 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 59.376 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))))) 59.377 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 59.377 * * [simplify]: iters left: 6 (15 enodes) 59.387 * * [simplify]: iters left: 5 (66 enodes) 59.417 * * [simplify]: iters left: 4 (121 enodes) 59.462 * * [simplify]: iters left: 3 (217 enodes) 59.517 * * [simplify]: iters left: 2 (372 enodes) 59.646 * * [simplify]: Extracting #0: cost 1 inf + 0 59.646 * * [simplify]: Extracting #1: cost 25 inf + 0 59.647 * * [simplify]: Extracting #2: cost 79 inf + 0 59.647 * * [simplify]: Extracting #3: cost 86 inf + 644 59.648 * * [simplify]: Extracting #4: cost 125 inf + 4695 59.651 * * [simplify]: Extracting #5: cost 122 inf + 12699 59.665 * * [simplify]: Extracting #6: cost 47 inf + 50641 59.682 * * [simplify]: Extracting #7: cost 0 inf + 71560 59.696 * * [simplify]: Extracting #8: cost 0 inf + 70898 59.705 * * [simplify]: Extracting #9: cost 0 inf + 70778 59.714 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 59.714 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)))) 59.714 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 59.714 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 59.714 * * [simplify]: iters left: 6 (15 enodes) 59.719 * * [simplify]: iters left: 5 (68 enodes) 59.736 * * [simplify]: iters left: 4 (128 enodes) 59.773 * * [simplify]: iters left: 3 (255 enodes) 59.874 * * [simplify]: Extracting #0: cost 1 inf + 0 59.875 * * [simplify]: Extracting #1: cost 25 inf + 0 59.875 * * [simplify]: Extracting #2: cost 105 inf + 0 59.876 * * [simplify]: Extracting #3: cost 146 inf + 4 59.877 * * [simplify]: Extracting #4: cost 148 inf + 515 59.885 * * [simplify]: Extracting #5: cost 93 inf + 10540 59.896 * * [simplify]: Extracting #6: cost 15 inf + 59119 59.911 * * [simplify]: Extracting #7: cost 0 inf + 69937 59.919 * * [simplify]: Extracting #8: cost 0 inf + 69817 59.927 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 59.927 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)))) 59.928 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 59.928 * * [simplify]: iters left: 6 (15 enodes) 59.933 * * [simplify]: iters left: 5 (68 enodes) 59.946 * * [simplify]: iters left: 4 (128 enodes) 59.994 * * [simplify]: iters left: 3 (255 enodes) 60.089 * * [simplify]: Extracting #0: cost 1 inf + 0 60.089 * * [simplify]: Extracting #1: cost 25 inf + 0 60.089 * * [simplify]: Extracting #2: cost 105 inf + 0 60.090 * * [simplify]: Extracting #3: cost 146 inf + 4 60.091 * * [simplify]: Extracting #4: cost 148 inf + 515 60.095 * * [simplify]: Extracting #5: cost 93 inf + 10540 60.112 * * [simplify]: Extracting #6: cost 15 inf + 59119 60.127 * * [simplify]: Extracting #7: cost 0 inf + 69937 60.143 * * [simplify]: Extracting #8: cost 0 inf + 69817 60.159 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 60.159 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)))) 60.160 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 60.160 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 60.160 * * [simplify]: iters left: 6 (15 enodes) 60.171 * * [simplify]: iters left: 5 (68 enodes) 60.185 * * [simplify]: iters left: 4 (121 enodes) 60.208 * * [simplify]: iters left: 3 (218 enodes) 60.270 * * [simplify]: iters left: 2 (424 enodes) 60.418 * * [simplify]: Extracting #0: cost 1 inf + 0 60.418 * * [simplify]: Extracting #1: cost 31 inf + 0 60.419 * * [simplify]: Extracting #2: cost 106 inf + 0 60.420 * * [simplify]: Extracting #3: cost 171 inf + 2 60.422 * * [simplify]: Extracting #4: cost 192 inf + 722 60.427 * * [simplify]: Extracting #5: cost 127 inf + 17763 60.438 * * [simplify]: Extracting #6: cost 41 inf + 58384 60.454 * * [simplify]: Extracting #7: cost 0 inf + 91463 60.466 * * [simplify]: Extracting #8: cost 0 inf + 91291 60.479 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))) 60.479 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))))) 60.480 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 60.480 * * [simplify]: iters left: 6 (15 enodes) 60.490 * * [simplify]: iters left: 5 (68 enodes) 60.514 * * [simplify]: iters left: 4 (121 enodes) 60.539 * * [simplify]: iters left: 3 (218 enodes) 60.605 * * [simplify]: iters left: 2 (424 enodes) 60.743 * * [simplify]: Extracting #0: cost 1 inf + 0 60.743 * * [simplify]: Extracting #1: cost 31 inf + 0 60.744 * * [simplify]: Extracting #2: cost 106 inf + 0 60.745 * * [simplify]: Extracting #3: cost 171 inf + 2 60.747 * * [simplify]: Extracting #4: cost 192 inf + 722 60.752 * * [simplify]: Extracting #5: cost 127 inf + 17763 60.766 * * [simplify]: Extracting #6: cost 41 inf + 58384 60.790 * * [simplify]: Extracting #7: cost 0 inf + 91463 60.802 * * [simplify]: Extracting #8: cost 0 inf + 91291 60.814 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))) 60.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))))) 60.814 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 60.814 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 60.815 * * [simplify]: iters left: 6 (15 enodes) 60.820 * * [simplify]: iters left: 5 (69 enodes) 60.834 * * [simplify]: iters left: 4 (134 enodes) 60.885 * * [simplify]: iters left: 3 (269 enodes) 61.002 * * [simplify]: Extracting #0: cost 1 inf + 0 61.002 * * [simplify]: Extracting #1: cost 32 inf + 0 61.003 * * [simplify]: Extracting #2: cost 112 inf + 0 61.004 * * [simplify]: Extracting #3: cost 145 inf + 218 61.006 * * [simplify]: Extracting #4: cost 127 inf + 4971 61.020 * * [simplify]: Extracting #5: cost 25 inf + 53274 61.036 * * [simplify]: Extracting #6: cost 0 inf + 68297 61.053 * * [simplify]: Extracting #7: cost 0 inf + 67655 61.069 * * [simplify]: Extracting #8: cost 0 inf + 67536 61.084 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 61.084 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))))) 61.085 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 61.085 * * [simplify]: iters left: 6 (15 enodes) 61.095 * * [simplify]: iters left: 5 (69 enodes) 61.122 * * [simplify]: iters left: 4 (134 enodes) 61.171 * * [simplify]: iters left: 3 (269 enodes) 61.255 * * [simplify]: Extracting #0: cost 1 inf + 0 61.255 * * [simplify]: Extracting #1: cost 32 inf + 0 61.256 * * [simplify]: Extracting #2: cost 112 inf + 0 61.257 * * [simplify]: Extracting #3: cost 145 inf + 218 61.259 * * [simplify]: Extracting #4: cost 127 inf + 4971 61.265 * * [simplify]: Extracting #5: cost 25 inf + 53274 61.273 * * [simplify]: Extracting #6: cost 0 inf + 68297 61.282 * * [simplify]: Extracting #7: cost 0 inf + 67655 61.290 * * [simplify]: Extracting #8: cost 0 inf + 67536 61.306 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 61.306 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)))) 61.307 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 61.307 * [simplify]: Simplifying (pow (cbrt k) -1/2) 61.307 * * [simplify]: iters left: 2 (4 enodes) 61.310 * * [simplify]: iters left: 1 (17 enodes) 61.318 * * [simplify]: Extracting #0: cost 1 inf + 0 61.318 * * [simplify]: Extracting #1: cost 5 inf + 0 61.318 * * [simplify]: Extracting #2: cost 9 inf + 1 61.318 * * [simplify]: Extracting #3: cost 8 inf + 3 61.318 * * [simplify]: Extracting #4: cost 1 inf + 1334 61.318 * * [simplify]: Extracting #5: cost 0 inf + 1626 61.318 * [simplify]: Simplified to (pow (cbrt k) -1/2) 61.318 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2))) 61.319 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 61.319 * [simplify]: Simplifying (pow (sqrt k) -1/2) 61.319 * * [simplify]: iters left: 2 (4 enodes) 61.322 * * [simplify]: iters left: 1 (17 enodes) 61.329 * * [simplify]: Extracting #0: cost 1 inf + 0 61.330 * * [simplify]: Extracting #1: cost 5 inf + 0 61.330 * * [simplify]: Extracting #2: cost 9 inf + 1 61.330 * * [simplify]: Extracting #3: cost 8 inf + 3 61.330 * * [simplify]: Extracting #4: cost 1 inf + 1094 61.330 * * [simplify]: Extracting #5: cost 0 inf + 1346 61.330 * [simplify]: Simplified to (pow (sqrt k) -1/2) 61.330 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2))) 61.331 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 61.331 * [simplify]: Simplifying (pow k -1/2) 61.331 * * [simplify]: iters left: 1 (3 enodes) 61.333 * * [simplify]: Extracting #0: cost 1 inf + 0 61.333 * * [simplify]: Extracting #1: cost 5 inf + 0 61.333 * * [simplify]: Extracting #2: cost 4 inf + 2 61.333 * * [simplify]: Extracting #3: cost 1 inf + 427 61.334 * * [simplify]: Extracting #4: cost 0 inf + 639 61.334 * [simplify]: Simplified to (pow k -1/2) 61.334 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2))) 61.334 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 61.334 * [simplify]: Simplifying (cbrt (pow k -1/2)) 61.334 * * [simplify]: iters left: 2 (4 enodes) 61.337 * * [simplify]: iters left: 1 (17 enodes) 61.345 * * [simplify]: Extracting #0: cost 1 inf + 0 61.345 * * [simplify]: Extracting #1: cost 3 inf + 0 61.345 * * [simplify]: Extracting #2: cost 7 inf + 0 61.345 * * [simplify]: Extracting #3: cost 8 inf + 2 61.345 * * [simplify]: Extracting #4: cost 3 inf + 1223 61.345 * * [simplify]: Extracting #5: cost 1 inf + 1436 61.345 * * [simplify]: Extracting #6: cost 0 inf + 1648 61.346 * [simplify]: Simplified to (cbrt (pow k -1/2)) 61.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2)))) 61.346 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 61.346 * [simplify]: Simplifying (sqrt (pow k -1/2)) 61.346 * * [simplify]: iters left: 2 (4 enodes) 61.349 * * [simplify]: iters left: 1 (17 enodes) 61.356 * * [simplify]: Extracting #0: cost 1 inf + 0 61.357 * * [simplify]: Extracting #1: cost 4 inf + 0 61.357 * * [simplify]: Extracting #2: cost 10 inf + 0 61.357 * * [simplify]: Extracting #3: cost 8 inf + 3 61.357 * * [simplify]: Extracting #4: cost 1 inf + 1356 61.357 * * [simplify]: Extracting #5: cost 0 inf + 1568 61.357 * [simplify]: Simplified to (sqrt (pow k -1/2)) 61.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2)))) 61.358 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 61.358 * [simplify]: Simplifying (pow k -1/2) 61.358 * * [simplify]: iters left: 1 (3 enodes) 61.359 * * [simplify]: Extracting #0: cost 1 inf + 0 61.359 * * [simplify]: Extracting #1: cost 5 inf + 0 61.359 * * [simplify]: Extracting #2: cost 4 inf + 2 61.359 * * [simplify]: Extracting #3: cost 1 inf + 427 61.359 * * [simplify]: Extracting #4: cost 0 inf + 639 61.359 * [simplify]: Simplified to (pow k -1/2) 61.359 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2))) 61.360 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 61.360 * [simplify]: Simplifying (pow k (/ -1/2 2)) 61.360 * * [simplify]: iters left: 3 (5 enodes) 61.362 * * [simplify]: iters left: 2 (20 enodes) 61.369 * * [simplify]: iters left: 1 (37 enodes) 61.378 * * [simplify]: Extracting #0: cost 1 inf + 0 61.378 * * [simplify]: Extracting #1: cost 9 inf + 0 61.378 * * [simplify]: Extracting #2: cost 12 inf + 2 61.379 * * [simplify]: Extracting #3: cost 7 inf + 852 61.379 * * [simplify]: Extracting #4: cost 0 inf + 2667 61.379 * [simplify]: Simplified to (pow k -1/4) 61.379 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k -1/4))) 61.379 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 61.379 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 61.379 * * [simplify]: iters left: 5 (7 enodes) 61.382 * * [simplify]: iters left: 4 (32 enodes) 61.388 * * [simplify]: iters left: 3 (57 enodes) 61.401 * * [simplify]: iters left: 2 (88 enodes) 61.417 * * [simplify]: iters left: 1 (156 enodes) 61.481 * * [simplify]: Extracting #0: cost 1 inf + 0 61.481 * * [simplify]: Extracting #1: cost 13 inf + 0 61.481 * * [simplify]: Extracting #2: cost 49 inf + 2 61.482 * * [simplify]: Extracting #3: cost 80 inf + 6 61.482 * * [simplify]: Extracting #4: cost 58 inf + 1840 61.484 * * [simplify]: Extracting #5: cost 22 inf + 9206 61.487 * * [simplify]: Extracting #6: cost 1 inf + 20886 61.490 * * [simplify]: Extracting #7: cost 0 inf + 21301 61.493 * * [simplify]: Extracting #8: cost 0 inf + 21130 61.496 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 61.496 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)))) 61.496 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 61.496 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 61.496 * * [simplify]: iters left: 6 (12 enodes) 61.500 * * [simplify]: iters left: 5 (51 enodes) 61.509 * * [simplify]: iters left: 4 (84 enodes) 61.532 * * [simplify]: iters left: 3 (125 enodes) 61.555 * * [simplify]: iters left: 2 (198 enodes) 61.623 * * [simplify]: iters left: 1 (353 enodes) 61.775 * * [simplify]: Extracting #0: cost 1 inf + 0 61.775 * * [simplify]: Extracting #1: cost 3 inf + 0 61.775 * * [simplify]: Extracting #2: cost 5 inf + 0 61.775 * * [simplify]: Extracting #3: cost 28 inf + 0 61.780 * * [simplify]: Extracting #4: cost 101 inf + 1 61.781 * * [simplify]: Extracting #5: cost 136 inf + 176 61.783 * * [simplify]: Extracting #6: cost 126 inf + 1348 61.787 * * [simplify]: Extracting #7: cost 70 inf + 12457 61.800 * * [simplify]: Extracting #8: cost 19 inf + 42176 61.820 * * [simplify]: Extracting #9: cost 0 inf + 57297 61.838 * * [simplify]: Extracting #10: cost 0 inf + 56855 61.857 * * [simplify]: Extracting #11: cost 0 inf + 56816 61.876 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 61.876 * [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))) (pow k -1/2)))) 61.876 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 61.877 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 61.877 * * [simplify]: iters left: 6 (11 enodes) 61.883 * * [simplify]: iters left: 5 (48 enodes) 61.899 * * [simplify]: iters left: 4 (78 enodes) 61.923 * * [simplify]: iters left: 3 (120 enodes) 61.968 * * [simplify]: iters left: 2 (211 enodes) 62.043 * * [simplify]: iters left: 1 (380 enodes) 62.204 * * [simplify]: Extracting #0: cost 1 inf + 0 62.204 * * [simplify]: Extracting #1: cost 4 inf + 0 62.204 * * [simplify]: Extracting #2: cost 29 inf + 0 62.205 * * [simplify]: Extracting #3: cost 113 inf + 1 62.206 * * [simplify]: Extracting #4: cost 155 inf + 220 62.208 * * [simplify]: Extracting #5: cost 153 inf + 561 62.211 * * [simplify]: Extracting #6: cost 121 inf + 2833 62.216 * * [simplify]: Extracting #7: cost 68 inf + 14038 62.231 * * [simplify]: Extracting #8: cost 15 inf + 50044 62.252 * * [simplify]: Extracting #9: cost 0 inf + 59395 62.273 * * [simplify]: Extracting #10: cost 0 inf + 59194 62.292 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 62.292 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)))) 62.292 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 62.292 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 62.292 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 62.292 * * [simplify]: iters left: 6 (11 enodes) 62.296 * * [simplify]: iters left: 5 (51 enodes) 62.309 * * [simplify]: iters left: 4 (87 enodes) 62.325 * * [simplify]: iters left: 3 (143 enodes) 62.363 * * [simplify]: iters left: 2 (259 enodes) 62.439 * * [simplify]: iters left: 1 (469 enodes) 62.631 * * [simplify]: Extracting #0: cost 1 inf + 0 62.631 * * [simplify]: Extracting #1: cost 24 inf + 0 62.631 * * [simplify]: Extracting #2: cost 110 inf + 1 62.632 * * [simplify]: Extracting #3: cost 192 inf + 178 62.633 * * [simplify]: Extracting #4: cost 178 inf + 1845 62.636 * * [simplify]: Extracting #5: cost 89 inf + 12477 62.643 * * [simplify]: Extracting #6: cost 41 inf + 28219 62.652 * * [simplify]: Extracting #7: cost 4 inf + 58625 62.669 * * [simplify]: Extracting #8: cost 0 inf + 62670 62.690 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 62.690 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)))) 62.690 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 62.690 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) 62.690 * * [simplify]: iters left: 6 (12 enodes) 62.700 * * [simplify]: iters left: 5 (52 enodes) 62.722 * * [simplify]: iters left: 4 (104 enodes) 62.765 * * [simplify]: iters left: 3 (223 enodes) 62.841 * * [simplify]: Extracting #0: cost 1 inf + 0 62.842 * * [simplify]: Extracting #1: cost 31 inf + 0 62.842 * * [simplify]: Extracting #2: cost 109 inf + 0 62.842 * * [simplify]: Extracting #3: cost 108 inf + 10 62.843 * * [simplify]: Extracting #4: cost 90 inf + 3894 62.845 * * [simplify]: Extracting #5: cost 40 inf + 27466 62.853 * * [simplify]: Extracting #6: cost 0 inf + 54412 62.863 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2)) 62.863 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2)))) 62.863 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))> 62.863 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 62.863 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 62.864 * [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))))) 62.864 * * [simplify]: iters left: 6 (37 enodes) 62.886 * * [simplify]: iters left: 5 (190 enodes) 62.937 * * [simplify]: Extracting #0: cost 1 inf + 0 62.937 * * [simplify]: Extracting #1: cost 22 inf + 0 62.938 * * [simplify]: Extracting #2: cost 108 inf + 1 62.939 * * [simplify]: Extracting #3: cost 171 inf + 46 62.940 * * [simplify]: Extracting #4: cost 189 inf + 427 62.944 * * [simplify]: Extracting #5: cost 128 inf + 16032 62.960 * * [simplify]: Extracting #6: cost 29 inf + 57153 62.989 * * [simplify]: Extracting #7: cost 4 inf + 75884 63.017 * * [simplify]: Extracting #8: cost 0 inf + 78767 63.044 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 63.044 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (pow k -1/2))) 63.048 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 63.048 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 63.048 * * [simplify]: iters left: 6 (15 enodes) 63.056 * * [simplify]: iters left: 5 (65 enodes) 63.067 * * [simplify]: iters left: 4 (123 enodes) 63.103 * * [simplify]: iters left: 3 (367 enodes) 63.269 * * [simplify]: Extracting #0: cost 1 inf + 0 63.269 * * [simplify]: Extracting #1: cost 37 inf + 0 63.270 * * [simplify]: Extracting #2: cost 216 inf + 72 63.271 * * [simplify]: Extracting #3: cost 356 inf + 1622 63.275 * * [simplify]: Extracting #4: cost 219 inf + 28945 63.289 * * [simplify]: Extracting #5: cost 21 inf + 83197 63.308 * * [simplify]: Extracting #6: cost 0 inf + 89881 63.326 * * [simplify]: Extracting #7: cost 0 inf + 89729 63.358 * * [simplify]: Extracting #8: cost 0 inf + 89726 63.389 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 63.389 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (pow k -1/2))) 63.389 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 63.390 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 63.390 * * [simplify]: iters left: 6 (16 enodes) 63.400 * * [simplify]: iters left: 5 (67 enodes) 63.428 * * [simplify]: iters left: 4 (134 enodes) 63.463 * * [simplify]: iters left: 3 (413 enodes) 63.694 * * [simplify]: Extracting #0: cost 1 inf + 0 63.694 * * [simplify]: Extracting #1: cost 39 inf + 0 63.695 * * [simplify]: Extracting #2: cost 241 inf + 72 63.696 * * [simplify]: Extracting #3: cost 450 inf + 903 63.703 * * [simplify]: Extracting #4: cost 376 inf + 10375 63.713 * * [simplify]: Extracting #5: cost 158 inf + 67083 63.734 * * [simplify]: Extracting #6: cost 12 inf + 118840 63.756 * * [simplify]: Extracting #7: cost 0 inf + 121984 63.796 * * [simplify]: Extracting #8: cost 0 inf + 121983 63.824 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 63.824 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (pow k -1/2))) 63.824 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 63.824 * [simplify]: Simplifying (* 2 (* n PI)) 63.824 * * [simplify]: iters left: 4 (5 enodes) 63.826 * * [simplify]: iters left: 3 (19 enodes) 63.829 * * [simplify]: iters left: 2 (27 enodes) 63.833 * * [simplify]: iters left: 1 (32 enodes) 63.837 * * [simplify]: Extracting #0: cost 1 inf + 0 63.837 * * [simplify]: Extracting #1: cost 8 inf + 0 63.837 * * [simplify]: Extracting #2: cost 7 inf + 45 63.837 * * [simplify]: Extracting #3: cost 0 inf + 421 63.837 * [simplify]: Simplified to (* (* PI n) 2) 63.837 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 63.837 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 63.837 * [simplify]: Simplifying (* 2 (* n PI)) 63.837 * * [simplify]: iters left: 4 (5 enodes) 63.839 * * [simplify]: iters left: 3 (19 enodes) 63.845 * * [simplify]: iters left: 2 (27 enodes) 63.853 * * [simplify]: iters left: 1 (32 enodes) 63.861 * * [simplify]: Extracting #0: cost 1 inf + 0 63.861 * * [simplify]: Extracting #1: cost 8 inf + 0 63.861 * * [simplify]: Extracting #2: cost 7 inf + 45 63.861 * * [simplify]: Extracting #3: cost 0 inf + 421 63.862 * [simplify]: Simplified to (* (* PI n) 2) 63.862 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 63.862 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 63.862 * [simplify]: Simplifying (* 2 (* n PI)) 63.862 * * [simplify]: iters left: 4 (5 enodes) 63.865 * * [simplify]: iters left: 3 (19 enodes) 63.871 * * [simplify]: iters left: 2 (27 enodes) 63.878 * * [simplify]: iters left: 1 (32 enodes) 63.886 * * [simplify]: Extracting #0: cost 1 inf + 0 63.886 * * [simplify]: Extracting #1: cost 8 inf + 0 63.887 * * [simplify]: Extracting #2: cost 7 inf + 45 63.887 * * [simplify]: Extracting #3: cost 0 inf + 421 63.887 * [simplify]: Simplified to (* (* PI n) 2) 63.887 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 63.887 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 63.888 * [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)))))))))))))))))))))) 63.888 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 63.888 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 63.889 * [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)))))))) 63.889 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 63.889 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 63.889 * [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))))))) 63.889 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 63.890 * * * [progress]: adding candidates to table 65.138 * * [progress]: iteration 4 / 4 65.138 * * * [progress]: picking best candidate 65.181 * * * * [pick]: Picked # 65.181 * * * [progress]: localizing error 65.206 * * * [progress]: generating rewritten candidates 65.206 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 65.225 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 65.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 65.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 65.271 * * * [progress]: generating series expansions 65.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 65.272 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 65.272 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 65.272 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 65.272 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 65.272 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 65.272 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 65.272 * [taylor]: Taking taylor expansion of 1/2 in k 65.272 * [backup-simplify]: Simplify 1/2 into 1/2 65.272 * [taylor]: Taking taylor expansion of (- 1 k) in k 65.272 * [taylor]: Taking taylor expansion of 1 in k 65.272 * [backup-simplify]: Simplify 1 into 1 65.272 * [taylor]: Taking taylor expansion of k in k 65.272 * [backup-simplify]: Simplify 0 into 0 65.272 * [backup-simplify]: Simplify 1 into 1 65.272 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 65.272 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 65.272 * [taylor]: Taking taylor expansion of 2 in k 65.272 * [backup-simplify]: Simplify 2 into 2 65.272 * [taylor]: Taking taylor expansion of (* n PI) in k 65.272 * [taylor]: Taking taylor expansion of n in k 65.272 * [backup-simplify]: Simplify n into n 65.272 * [taylor]: Taking taylor expansion of PI in k 65.272 * [backup-simplify]: Simplify PI into PI 65.272 * [backup-simplify]: Simplify (* n PI) into (* n PI) 65.272 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 65.272 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 65.272 * [backup-simplify]: Simplify (- 0) into 0 65.273 * [backup-simplify]: Simplify (+ 1 0) into 1 65.273 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.273 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 65.273 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 65.273 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 65.273 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 65.273 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 65.273 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 65.273 * [taylor]: Taking taylor expansion of 1/2 in n 65.273 * [backup-simplify]: Simplify 1/2 into 1/2 65.273 * [taylor]: Taking taylor expansion of (- 1 k) in n 65.273 * [taylor]: Taking taylor expansion of 1 in n 65.273 * [backup-simplify]: Simplify 1 into 1 65.273 * [taylor]: Taking taylor expansion of k in n 65.273 * [backup-simplify]: Simplify k into k 65.273 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.273 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.273 * [taylor]: Taking taylor expansion of 2 in n 65.273 * [backup-simplify]: Simplify 2 into 2 65.273 * [taylor]: Taking taylor expansion of (* n PI) in n 65.273 * [taylor]: Taking taylor expansion of n in n 65.273 * [backup-simplify]: Simplify 0 into 0 65.273 * [backup-simplify]: Simplify 1 into 1 65.273 * [taylor]: Taking taylor expansion of PI in n 65.273 * [backup-simplify]: Simplify PI into PI 65.274 * [backup-simplify]: Simplify (* 0 PI) into 0 65.274 * [backup-simplify]: Simplify (* 2 0) into 0 65.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.280 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.281 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.281 * [backup-simplify]: Simplify (- k) into (- k) 65.282 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 65.282 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 65.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.284 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 65.285 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 65.285 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 65.285 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 65.285 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 65.285 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 65.285 * [taylor]: Taking taylor expansion of 1/2 in n 65.285 * [backup-simplify]: Simplify 1/2 into 1/2 65.285 * [taylor]: Taking taylor expansion of (- 1 k) in n 65.285 * [taylor]: Taking taylor expansion of 1 in n 65.285 * [backup-simplify]: Simplify 1 into 1 65.285 * [taylor]: Taking taylor expansion of k in n 65.285 * [backup-simplify]: Simplify k into k 65.285 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.285 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.285 * [taylor]: Taking taylor expansion of 2 in n 65.285 * [backup-simplify]: Simplify 2 into 2 65.285 * [taylor]: Taking taylor expansion of (* n PI) in n 65.285 * [taylor]: Taking taylor expansion of n in n 65.285 * [backup-simplify]: Simplify 0 into 0 65.285 * [backup-simplify]: Simplify 1 into 1 65.285 * [taylor]: Taking taylor expansion of PI in n 65.285 * [backup-simplify]: Simplify PI into PI 65.286 * [backup-simplify]: Simplify (* 0 PI) into 0 65.286 * [backup-simplify]: Simplify (* 2 0) into 0 65.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.290 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.291 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.291 * [backup-simplify]: Simplify (- k) into (- k) 65.291 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 65.291 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 65.292 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.293 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 65.294 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 65.294 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 65.294 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 65.294 * [taylor]: Taking taylor expansion of 1/2 in k 65.294 * [backup-simplify]: Simplify 1/2 into 1/2 65.294 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 65.294 * [taylor]: Taking taylor expansion of (- 1 k) in k 65.295 * [taylor]: Taking taylor expansion of 1 in k 65.295 * [backup-simplify]: Simplify 1 into 1 65.295 * [taylor]: Taking taylor expansion of k in k 65.295 * [backup-simplify]: Simplify 0 into 0 65.295 * [backup-simplify]: Simplify 1 into 1 65.295 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 65.295 * [taylor]: Taking taylor expansion of (log n) in k 65.295 * [taylor]: Taking taylor expansion of n in k 65.295 * [backup-simplify]: Simplify n into n 65.295 * [backup-simplify]: Simplify (log n) into (log n) 65.295 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 65.295 * [taylor]: Taking taylor expansion of (* 2 PI) in k 65.295 * [taylor]: Taking taylor expansion of 2 in k 65.295 * [backup-simplify]: Simplify 2 into 2 65.295 * [taylor]: Taking taylor expansion of PI in k 65.295 * [backup-simplify]: Simplify PI into PI 65.295 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.296 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.297 * [backup-simplify]: Simplify (- 0) into 0 65.297 * [backup-simplify]: Simplify (+ 1 0) into 1 65.298 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.299 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 65.300 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 65.301 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 65.302 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 65.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 65.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 65.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 65.306 * [backup-simplify]: Simplify (- 0) into 0 65.306 * [backup-simplify]: Simplify (+ 0 0) into 0 65.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 65.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.309 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 65.311 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 65.311 * [taylor]: Taking taylor expansion of 0 in k 65.311 * [backup-simplify]: Simplify 0 into 0 65.311 * [backup-simplify]: Simplify 0 into 0 65.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 65.313 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 65.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 65.315 * [backup-simplify]: Simplify (+ 0 0) into 0 65.315 * [backup-simplify]: Simplify (- 1) into -1 65.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 65.317 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 65.319 * [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))))) 65.322 * [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))))))) 65.325 * [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))))))) 65.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 65.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 65.330 * [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 65.331 * [backup-simplify]: Simplify (- 0) into 0 65.331 * [backup-simplify]: Simplify (+ 0 0) into 0 65.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 65.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.334 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 65.337 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 65.337 * [taylor]: Taking taylor expansion of 0 in k 65.337 * [backup-simplify]: Simplify 0 into 0 65.337 * [backup-simplify]: Simplify 0 into 0 65.337 * [backup-simplify]: Simplify 0 into 0 65.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 65.339 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 65.342 * [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 65.343 * [backup-simplify]: Simplify (+ 0 0) into 0 65.343 * [backup-simplify]: Simplify (- 0) into 0 65.343 * [backup-simplify]: Simplify (+ 0 0) into 0 65.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 65.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 65.348 * [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))))) 65.351 * [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))))) 65.356 * [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))))) 65.357 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 65.357 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 65.357 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 65.357 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 65.357 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 65.357 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 65.357 * [taylor]: Taking taylor expansion of 1/2 in k 65.357 * [backup-simplify]: Simplify 1/2 into 1/2 65.357 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 65.357 * [taylor]: Taking taylor expansion of 1 in k 65.357 * [backup-simplify]: Simplify 1 into 1 65.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.357 * [taylor]: Taking taylor expansion of k in k 65.357 * [backup-simplify]: Simplify 0 into 0 65.357 * [backup-simplify]: Simplify 1 into 1 65.357 * [backup-simplify]: Simplify (/ 1 1) into 1 65.357 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 65.357 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 65.357 * [taylor]: Taking taylor expansion of 2 in k 65.357 * [backup-simplify]: Simplify 2 into 2 65.357 * [taylor]: Taking taylor expansion of (/ PI n) in k 65.357 * [taylor]: Taking taylor expansion of PI in k 65.357 * [backup-simplify]: Simplify PI into PI 65.357 * [taylor]: Taking taylor expansion of n in k 65.357 * [backup-simplify]: Simplify n into n 65.357 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 65.358 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 65.358 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 65.358 * [backup-simplify]: Simplify (- 1) into -1 65.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 65.358 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 65.358 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 65.359 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 65.359 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 65.359 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 65.359 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 65.359 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 65.359 * [taylor]: Taking taylor expansion of 1/2 in n 65.359 * [backup-simplify]: Simplify 1/2 into 1/2 65.359 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 65.359 * [taylor]: Taking taylor expansion of 1 in n 65.359 * [backup-simplify]: Simplify 1 into 1 65.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.359 * [taylor]: Taking taylor expansion of k in n 65.359 * [backup-simplify]: Simplify k into k 65.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.359 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 65.359 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.359 * [taylor]: Taking taylor expansion of 2 in n 65.359 * [backup-simplify]: Simplify 2 into 2 65.359 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.359 * [taylor]: Taking taylor expansion of PI in n 65.359 * [backup-simplify]: Simplify PI into PI 65.359 * [taylor]: Taking taylor expansion of n in n 65.359 * [backup-simplify]: Simplify 0 into 0 65.359 * [backup-simplify]: Simplify 1 into 1 65.359 * [backup-simplify]: Simplify (/ PI 1) into PI 65.360 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.360 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.360 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 65.360 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 65.360 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 65.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.362 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 65.363 * [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))))) 65.363 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 65.363 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 65.363 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 65.363 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 65.363 * [taylor]: Taking taylor expansion of 1/2 in n 65.363 * [backup-simplify]: Simplify 1/2 into 1/2 65.363 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 65.363 * [taylor]: Taking taylor expansion of 1 in n 65.363 * [backup-simplify]: Simplify 1 into 1 65.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.363 * [taylor]: Taking taylor expansion of k in n 65.363 * [backup-simplify]: Simplify k into k 65.363 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.363 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 65.363 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.363 * [taylor]: Taking taylor expansion of 2 in n 65.363 * [backup-simplify]: Simplify 2 into 2 65.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.363 * [taylor]: Taking taylor expansion of PI in n 65.363 * [backup-simplify]: Simplify PI into PI 65.363 * [taylor]: Taking taylor expansion of n in n 65.363 * [backup-simplify]: Simplify 0 into 0 65.363 * [backup-simplify]: Simplify 1 into 1 65.363 * [backup-simplify]: Simplify (/ PI 1) into PI 65.364 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.364 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.364 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 65.364 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 65.364 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 65.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.366 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 65.367 * [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))))) 65.367 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 65.367 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 65.367 * [taylor]: Taking taylor expansion of 1/2 in k 65.367 * [backup-simplify]: Simplify 1/2 into 1/2 65.367 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 65.367 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 65.367 * [taylor]: Taking taylor expansion of 1 in k 65.367 * [backup-simplify]: Simplify 1 into 1 65.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.367 * [taylor]: Taking taylor expansion of k in k 65.367 * [backup-simplify]: Simplify 0 into 0 65.367 * [backup-simplify]: Simplify 1 into 1 65.367 * [backup-simplify]: Simplify (/ 1 1) into 1 65.367 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 65.367 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 65.367 * [taylor]: Taking taylor expansion of (* 2 PI) in k 65.367 * [taylor]: Taking taylor expansion of 2 in k 65.367 * [backup-simplify]: Simplify 2 into 2 65.367 * [taylor]: Taking taylor expansion of PI in k 65.367 * [backup-simplify]: Simplify PI into PI 65.367 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.368 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.368 * [taylor]: Taking taylor expansion of (log n) in k 65.368 * [taylor]: Taking taylor expansion of n in k 65.368 * [backup-simplify]: Simplify n into n 65.368 * [backup-simplify]: Simplify (log n) into (log n) 65.368 * [backup-simplify]: Simplify (- 1) into -1 65.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 65.369 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 65.369 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 65.370 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 65.371 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 65.371 * [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))))) 65.372 * [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))))) 65.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 65.373 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 65.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 65.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 65.374 * [backup-simplify]: Simplify (- 0) into 0 65.374 * [backup-simplify]: Simplify (+ 0 0) into 0 65.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 65.376 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.377 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 65.378 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 65.378 * [taylor]: Taking taylor expansion of 0 in k 65.378 * [backup-simplify]: Simplify 0 into 0 65.378 * [backup-simplify]: Simplify 0 into 0 65.378 * [backup-simplify]: Simplify 0 into 0 65.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 65.381 * [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 65.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 65.382 * [backup-simplify]: Simplify (- 0) into 0 65.382 * [backup-simplify]: Simplify (+ 0 0) into 0 65.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 65.383 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.384 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 65.386 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 65.386 * [taylor]: Taking taylor expansion of 0 in k 65.386 * [backup-simplify]: Simplify 0 into 0 65.386 * [backup-simplify]: Simplify 0 into 0 65.386 * [backup-simplify]: Simplify 0 into 0 65.386 * [backup-simplify]: Simplify 0 into 0 65.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 65.398 * [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 65.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 65.399 * [backup-simplify]: Simplify (- 0) into 0 65.400 * [backup-simplify]: Simplify (+ 0 0) into 0 65.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 65.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.404 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 65.406 * [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 65.406 * [taylor]: Taking taylor expansion of 0 in k 65.406 * [backup-simplify]: Simplify 0 into 0 65.406 * [backup-simplify]: Simplify 0 into 0 65.408 * [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)))))) 65.408 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 65.408 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 65.408 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 65.408 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 65.408 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 65.408 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 65.408 * [taylor]: Taking taylor expansion of 1/2 in k 65.408 * [backup-simplify]: Simplify 1/2 into 1/2 65.409 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 65.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.409 * [taylor]: Taking taylor expansion of k in k 65.409 * [backup-simplify]: Simplify 0 into 0 65.409 * [backup-simplify]: Simplify 1 into 1 65.409 * [backup-simplify]: Simplify (/ 1 1) into 1 65.409 * [taylor]: Taking taylor expansion of 1 in k 65.409 * [backup-simplify]: Simplify 1 into 1 65.409 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 65.409 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 65.409 * [taylor]: Taking taylor expansion of -2 in k 65.409 * [backup-simplify]: Simplify -2 into -2 65.409 * [taylor]: Taking taylor expansion of (/ PI n) in k 65.409 * [taylor]: Taking taylor expansion of PI in k 65.409 * [backup-simplify]: Simplify PI into PI 65.409 * [taylor]: Taking taylor expansion of n in k 65.409 * [backup-simplify]: Simplify n into n 65.409 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 65.409 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 65.409 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 65.410 * [backup-simplify]: Simplify (+ 1 0) into 1 65.410 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.410 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 65.411 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 65.411 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 65.411 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 65.411 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 65.411 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 65.411 * [taylor]: Taking taylor expansion of 1/2 in n 65.411 * [backup-simplify]: Simplify 1/2 into 1/2 65.411 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 65.411 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.411 * [taylor]: Taking taylor expansion of k in n 65.411 * [backup-simplify]: Simplify k into k 65.411 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.411 * [taylor]: Taking taylor expansion of 1 in n 65.411 * [backup-simplify]: Simplify 1 into 1 65.411 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 65.411 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.411 * [taylor]: Taking taylor expansion of -2 in n 65.411 * [backup-simplify]: Simplify -2 into -2 65.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.411 * [taylor]: Taking taylor expansion of PI in n 65.411 * [backup-simplify]: Simplify PI into PI 65.411 * [taylor]: Taking taylor expansion of n in n 65.412 * [backup-simplify]: Simplify 0 into 0 65.412 * [backup-simplify]: Simplify 1 into 1 65.412 * [backup-simplify]: Simplify (/ PI 1) into PI 65.412 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.413 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 65.413 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 65.414 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 65.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.416 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 65.417 * [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))))) 65.417 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 65.417 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 65.417 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 65.417 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 65.417 * [taylor]: Taking taylor expansion of 1/2 in n 65.417 * [backup-simplify]: Simplify 1/2 into 1/2 65.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 65.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.417 * [taylor]: Taking taylor expansion of k in n 65.417 * [backup-simplify]: Simplify k into k 65.417 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.418 * [taylor]: Taking taylor expansion of 1 in n 65.418 * [backup-simplify]: Simplify 1 into 1 65.418 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 65.418 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.418 * [taylor]: Taking taylor expansion of -2 in n 65.418 * [backup-simplify]: Simplify -2 into -2 65.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.418 * [taylor]: Taking taylor expansion of PI in n 65.418 * [backup-simplify]: Simplify PI into PI 65.418 * [taylor]: Taking taylor expansion of n in n 65.418 * [backup-simplify]: Simplify 0 into 0 65.418 * [backup-simplify]: Simplify 1 into 1 65.418 * [backup-simplify]: Simplify (/ PI 1) into PI 65.419 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.420 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 65.420 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 65.420 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 65.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.422 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 65.423 * [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))))) 65.424 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 65.424 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 65.424 * [taylor]: Taking taylor expansion of 1/2 in k 65.424 * [backup-simplify]: Simplify 1/2 into 1/2 65.424 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 65.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 65.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.424 * [taylor]: Taking taylor expansion of k in k 65.424 * [backup-simplify]: Simplify 0 into 0 65.424 * [backup-simplify]: Simplify 1 into 1 65.424 * [backup-simplify]: Simplify (/ 1 1) into 1 65.424 * [taylor]: Taking taylor expansion of 1 in k 65.424 * [backup-simplify]: Simplify 1 into 1 65.424 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 65.424 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 65.424 * [taylor]: Taking taylor expansion of (* -2 PI) in k 65.424 * [taylor]: Taking taylor expansion of -2 in k 65.424 * [backup-simplify]: Simplify -2 into -2 65.424 * [taylor]: Taking taylor expansion of PI in k 65.424 * [backup-simplify]: Simplify PI into PI 65.425 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.426 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 65.426 * [taylor]: Taking taylor expansion of (log n) in k 65.426 * [taylor]: Taking taylor expansion of n in k 65.426 * [backup-simplify]: Simplify n into n 65.426 * [backup-simplify]: Simplify (log n) into (log n) 65.426 * [backup-simplify]: Simplify (+ 1 0) into 1 65.426 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 65.427 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 65.428 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 65.429 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 65.431 * [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))))) 65.432 * [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))))) 65.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 65.433 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 65.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 65.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 65.436 * [backup-simplify]: Simplify (+ 0 0) into 0 65.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 65.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.439 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 65.441 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 65.441 * [taylor]: Taking taylor expansion of 0 in k 65.441 * [backup-simplify]: Simplify 0 into 0 65.441 * [backup-simplify]: Simplify 0 into 0 65.441 * [backup-simplify]: Simplify 0 into 0 65.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.443 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 65.447 * [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 65.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 65.448 * [backup-simplify]: Simplify (+ 0 0) into 0 65.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 65.450 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.452 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 65.454 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 65.454 * [taylor]: Taking taylor expansion of 0 in k 65.454 * [backup-simplify]: Simplify 0 into 0 65.454 * [backup-simplify]: Simplify 0 into 0 65.454 * [backup-simplify]: Simplify 0 into 0 65.454 * [backup-simplify]: Simplify 0 into 0 65.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.457 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 65.464 * [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 65.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 65.464 * [backup-simplify]: Simplify (+ 0 0) into 0 65.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 65.467 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.469 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 65.472 * [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 65.472 * [taylor]: Taking taylor expansion of 0 in k 65.472 * [backup-simplify]: Simplify 0 into 0 65.472 * [backup-simplify]: Simplify 0 into 0 65.473 * [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)))))) 65.473 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 65.474 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 65.474 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 65.474 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.474 * [taylor]: Taking taylor expansion of 2 in n 65.474 * [backup-simplify]: Simplify 2 into 2 65.474 * [taylor]: Taking taylor expansion of (* n PI) in n 65.474 * [taylor]: Taking taylor expansion of n in n 65.474 * [backup-simplify]: Simplify 0 into 0 65.474 * [backup-simplify]: Simplify 1 into 1 65.474 * [taylor]: Taking taylor expansion of PI in n 65.474 * [backup-simplify]: Simplify PI into PI 65.474 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.474 * [taylor]: Taking taylor expansion of 2 in n 65.474 * [backup-simplify]: Simplify 2 into 2 65.474 * [taylor]: Taking taylor expansion of (* n PI) in n 65.474 * [taylor]: Taking taylor expansion of n in n 65.474 * [backup-simplify]: Simplify 0 into 0 65.474 * [backup-simplify]: Simplify 1 into 1 65.474 * [taylor]: Taking taylor expansion of PI in n 65.474 * [backup-simplify]: Simplify PI into PI 65.475 * [backup-simplify]: Simplify (* 0 PI) into 0 65.475 * [backup-simplify]: Simplify (* 2 0) into 0 65.475 * [backup-simplify]: Simplify 0 into 0 65.477 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.479 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.479 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 65.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 65.481 * [backup-simplify]: Simplify 0 into 0 65.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 65.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 65.483 * [backup-simplify]: Simplify 0 into 0 65.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 65.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 65.486 * [backup-simplify]: Simplify 0 into 0 65.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 65.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 65.489 * [backup-simplify]: Simplify 0 into 0 65.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 65.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 65.493 * [backup-simplify]: Simplify 0 into 0 65.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 65.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 65.497 * [backup-simplify]: Simplify 0 into 0 65.497 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 65.498 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 65.498 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 65.498 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.498 * [taylor]: Taking taylor expansion of 2 in n 65.498 * [backup-simplify]: Simplify 2 into 2 65.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.498 * [taylor]: Taking taylor expansion of PI in n 65.498 * [backup-simplify]: Simplify PI into PI 65.498 * [taylor]: Taking taylor expansion of n in n 65.498 * [backup-simplify]: Simplify 0 into 0 65.498 * [backup-simplify]: Simplify 1 into 1 65.499 * [backup-simplify]: Simplify (/ PI 1) into PI 65.499 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.499 * [taylor]: Taking taylor expansion of 2 in n 65.499 * [backup-simplify]: Simplify 2 into 2 65.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.499 * [taylor]: Taking taylor expansion of PI in n 65.499 * [backup-simplify]: Simplify PI into PI 65.499 * [taylor]: Taking taylor expansion of n in n 65.499 * [backup-simplify]: Simplify 0 into 0 65.499 * [backup-simplify]: Simplify 1 into 1 65.499 * [backup-simplify]: Simplify (/ PI 1) into PI 65.500 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.500 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 65.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 65.502 * [backup-simplify]: Simplify 0 into 0 65.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.504 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 65.504 * [backup-simplify]: Simplify 0 into 0 65.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 65.506 * [backup-simplify]: Simplify 0 into 0 65.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 65.508 * [backup-simplify]: Simplify 0 into 0 65.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 65.509 * [backup-simplify]: Simplify 0 into 0 65.510 * [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 65.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 65.511 * [backup-simplify]: Simplify 0 into 0 65.511 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 65.511 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 65.511 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 65.511 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.511 * [taylor]: Taking taylor expansion of -2 in n 65.511 * [backup-simplify]: Simplify -2 into -2 65.511 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.511 * [taylor]: Taking taylor expansion of PI in n 65.511 * [backup-simplify]: Simplify PI into PI 65.511 * [taylor]: Taking taylor expansion of n in n 65.511 * [backup-simplify]: Simplify 0 into 0 65.511 * [backup-simplify]: Simplify 1 into 1 65.512 * [backup-simplify]: Simplify (/ PI 1) into PI 65.512 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.512 * [taylor]: Taking taylor expansion of -2 in n 65.512 * [backup-simplify]: Simplify -2 into -2 65.512 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.512 * [taylor]: Taking taylor expansion of PI in n 65.512 * [backup-simplify]: Simplify PI into PI 65.512 * [taylor]: Taking taylor expansion of n in n 65.512 * [backup-simplify]: Simplify 0 into 0 65.512 * [backup-simplify]: Simplify 1 into 1 65.512 * [backup-simplify]: Simplify (/ PI 1) into PI 65.512 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.513 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 65.514 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 65.514 * [backup-simplify]: Simplify 0 into 0 65.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.515 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 65.515 * [backup-simplify]: Simplify 0 into 0 65.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.516 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 65.516 * [backup-simplify]: Simplify 0 into 0 65.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.517 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 65.517 * [backup-simplify]: Simplify 0 into 0 65.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.519 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 65.519 * [backup-simplify]: Simplify 0 into 0 65.519 * [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 65.520 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 65.520 * [backup-simplify]: Simplify 0 into 0 65.521 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 65.521 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 65.521 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 65.521 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 65.521 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 65.521 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 65.521 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 65.521 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 65.521 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 65.521 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 65.521 * [taylor]: Taking taylor expansion of 1/2 in n 65.521 * [backup-simplify]: Simplify 1/2 into 1/2 65.521 * [taylor]: Taking taylor expansion of (- 1 k) in n 65.521 * [taylor]: Taking taylor expansion of 1 in n 65.521 * [backup-simplify]: Simplify 1 into 1 65.521 * [taylor]: Taking taylor expansion of k in n 65.521 * [backup-simplify]: Simplify k into k 65.521 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.521 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.521 * [taylor]: Taking taylor expansion of 2 in n 65.521 * [backup-simplify]: Simplify 2 into 2 65.522 * [taylor]: Taking taylor expansion of (* n PI) in n 65.522 * [taylor]: Taking taylor expansion of n in n 65.522 * [backup-simplify]: Simplify 0 into 0 65.522 * [backup-simplify]: Simplify 1 into 1 65.522 * [taylor]: Taking taylor expansion of PI in n 65.522 * [backup-simplify]: Simplify PI into PI 65.522 * [backup-simplify]: Simplify (* 0 PI) into 0 65.522 * [backup-simplify]: Simplify (* 2 0) into 0 65.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.524 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.525 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.525 * [backup-simplify]: Simplify (- k) into (- k) 65.525 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 65.525 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 65.526 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.526 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 65.527 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 65.527 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) 65.528 * [taylor]: Taking taylor expansion of (sqrt k) in n 65.528 * [taylor]: Taking taylor expansion of k in n 65.528 * [backup-simplify]: Simplify k into k 65.528 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 65.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 65.528 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 65.528 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 65.528 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 65.528 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 65.528 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 65.528 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 65.528 * [taylor]: Taking taylor expansion of 1/2 in k 65.528 * [backup-simplify]: Simplify 1/2 into 1/2 65.528 * [taylor]: Taking taylor expansion of (- 1 k) in k 65.528 * [taylor]: Taking taylor expansion of 1 in k 65.528 * [backup-simplify]: Simplify 1 into 1 65.528 * [taylor]: Taking taylor expansion of k in k 65.528 * [backup-simplify]: Simplify 0 into 0 65.528 * [backup-simplify]: Simplify 1 into 1 65.528 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 65.528 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 65.528 * [taylor]: Taking taylor expansion of 2 in k 65.528 * [backup-simplify]: Simplify 2 into 2 65.528 * [taylor]: Taking taylor expansion of (* n PI) in k 65.528 * [taylor]: Taking taylor expansion of n in k 65.528 * [backup-simplify]: Simplify n into n 65.528 * [taylor]: Taking taylor expansion of PI in k 65.528 * [backup-simplify]: Simplify PI into PI 65.528 * [backup-simplify]: Simplify (* n PI) into (* n PI) 65.528 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 65.528 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 65.528 * [backup-simplify]: Simplify (- 0) into 0 65.529 * [backup-simplify]: Simplify (+ 1 0) into 1 65.533 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.533 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 65.533 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 65.533 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 65.533 * [taylor]: Taking taylor expansion of (sqrt k) in k 65.533 * [taylor]: Taking taylor expansion of k in k 65.533 * [backup-simplify]: Simplify 0 into 0 65.533 * [backup-simplify]: Simplify 1 into 1 65.534 * [backup-simplify]: Simplify (sqrt 0) into 0 65.536 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 65.536 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 65.536 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 65.536 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 65.536 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 65.536 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 65.536 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 65.536 * [taylor]: Taking taylor expansion of 1/2 in k 65.536 * [backup-simplify]: Simplify 1/2 into 1/2 65.536 * [taylor]: Taking taylor expansion of (- 1 k) in k 65.536 * [taylor]: Taking taylor expansion of 1 in k 65.536 * [backup-simplify]: Simplify 1 into 1 65.536 * [taylor]: Taking taylor expansion of k in k 65.536 * [backup-simplify]: Simplify 0 into 0 65.536 * [backup-simplify]: Simplify 1 into 1 65.536 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 65.536 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 65.536 * [taylor]: Taking taylor expansion of 2 in k 65.536 * [backup-simplify]: Simplify 2 into 2 65.536 * [taylor]: Taking taylor expansion of (* n PI) in k 65.536 * [taylor]: Taking taylor expansion of n in k 65.536 * [backup-simplify]: Simplify n into n 65.536 * [taylor]: Taking taylor expansion of PI in k 65.536 * [backup-simplify]: Simplify PI into PI 65.537 * [backup-simplify]: Simplify (* n PI) into (* n PI) 65.537 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 65.537 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 65.537 * [backup-simplify]: Simplify (- 0) into 0 65.538 * [backup-simplify]: Simplify (+ 1 0) into 1 65.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.538 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 65.538 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 65.538 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 65.539 * [taylor]: Taking taylor expansion of (sqrt k) in k 65.539 * [taylor]: Taking taylor expansion of k in k 65.539 * [backup-simplify]: Simplify 0 into 0 65.539 * [backup-simplify]: Simplify 1 into 1 65.539 * [backup-simplify]: Simplify (sqrt 0) into 0 65.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 65.541 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 65.541 * [taylor]: Taking taylor expansion of 0 in n 65.541 * [backup-simplify]: Simplify 0 into 0 65.541 * [backup-simplify]: Simplify 0 into 0 65.542 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 65.542 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 65.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 65.544 * [backup-simplify]: Simplify (- 1) into -1 65.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 65.545 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 65.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 65.546 * [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))))) 65.547 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 65.548 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 65.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 65.548 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 65.548 * [taylor]: Taking taylor expansion of +nan.0 in n 65.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.549 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 65.549 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 65.549 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 65.549 * [taylor]: Taking taylor expansion of (* n PI) in n 65.549 * [taylor]: Taking taylor expansion of n in n 65.549 * [backup-simplify]: Simplify 0 into 0 65.549 * [backup-simplify]: Simplify 1 into 1 65.549 * [taylor]: Taking taylor expansion of PI in n 65.549 * [backup-simplify]: Simplify PI into PI 65.549 * [backup-simplify]: Simplify (* 0 PI) into 0 65.550 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.551 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 65.551 * [backup-simplify]: Simplify (sqrt 0) into 0 65.552 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 65.552 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 65.552 * [taylor]: Taking taylor expansion of 1/2 in n 65.552 * [backup-simplify]: Simplify 1/2 into 1/2 65.553 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 65.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 65.555 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 65.555 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 65.558 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 65.560 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 65.562 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 65.562 * [backup-simplify]: Simplify 0 into 0 65.563 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 65.564 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 65.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 65.565 * [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 65.566 * [backup-simplify]: Simplify (- 0) into 0 65.566 * [backup-simplify]: Simplify (+ 0 0) into 0 65.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 65.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 65.568 * [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))) 65.569 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 65.574 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 65.574 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 65.574 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 65.574 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 65.574 * [taylor]: Taking taylor expansion of +nan.0 in n 65.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.574 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 65.574 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 65.574 * [taylor]: Taking taylor expansion of (sqrt 2) in n 65.574 * [taylor]: Taking taylor expansion of 2 in n 65.574 * [backup-simplify]: Simplify 2 into 2 65.574 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 65.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 65.575 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 65.575 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.575 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.575 * [taylor]: Taking taylor expansion of 2 in n 65.575 * [backup-simplify]: Simplify 2 into 2 65.575 * [taylor]: Taking taylor expansion of (* n PI) in n 65.575 * [taylor]: Taking taylor expansion of n in n 65.575 * [backup-simplify]: Simplify 0 into 0 65.575 * [backup-simplify]: Simplify 1 into 1 65.575 * [taylor]: Taking taylor expansion of PI in n 65.575 * [backup-simplify]: Simplify PI into PI 65.575 * [backup-simplify]: Simplify (* 0 PI) into 0 65.575 * [backup-simplify]: Simplify (* 2 0) into 0 65.576 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.577 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.578 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.578 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 65.578 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 65.578 * [taylor]: Taking taylor expansion of 1/2 in n 65.578 * [backup-simplify]: Simplify 1/2 into 1/2 65.578 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 65.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 65.578 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 65.578 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 65.578 * [taylor]: Taking taylor expansion of (* n PI) in n 65.579 * [taylor]: Taking taylor expansion of n in n 65.579 * [backup-simplify]: Simplify 0 into 0 65.579 * [backup-simplify]: Simplify 1 into 1 65.579 * [taylor]: Taking taylor expansion of PI in n 65.579 * [backup-simplify]: Simplify PI into PI 65.579 * [backup-simplify]: Simplify (* 0 PI) into 0 65.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.580 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 65.580 * [backup-simplify]: Simplify (sqrt 0) into 0 65.581 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 65.582 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 65.582 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 65.582 * [taylor]: Taking taylor expansion of +nan.0 in n 65.582 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.582 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 65.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 65.582 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 65.582 * [taylor]: Taking taylor expansion of (* n PI) in n 65.582 * [taylor]: Taking taylor expansion of n in n 65.582 * [backup-simplify]: Simplify 0 into 0 65.582 * [backup-simplify]: Simplify 1 into 1 65.582 * [taylor]: Taking taylor expansion of PI in n 65.582 * [backup-simplify]: Simplify PI into PI 65.582 * [backup-simplify]: Simplify (* 0 PI) into 0 65.583 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.583 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 65.583 * [backup-simplify]: Simplify (sqrt 0) into 0 65.585 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 65.585 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 65.585 * [taylor]: Taking taylor expansion of 1/2 in n 65.585 * [backup-simplify]: Simplify 1/2 into 1/2 65.585 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 65.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 65.586 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.587 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 65.588 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 65.590 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 65.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.591 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 65.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 65.592 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 65.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 65.594 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 65.596 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 65.597 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 65.599 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 65.606 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 65.608 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 65.608 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 65.612 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 65.615 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 65.629 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 65.655 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 65.677 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 65.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 65.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 65.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 65.685 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 65.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 65.701 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 65.706 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 65.709 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 65.735 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 65.736 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 65.736 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 65.736 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 65.736 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 65.736 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 65.736 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 65.736 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 65.736 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 65.736 * [taylor]: Taking taylor expansion of 1/2 in n 65.737 * [backup-simplify]: Simplify 1/2 into 1/2 65.737 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 65.737 * [taylor]: Taking taylor expansion of 1 in n 65.737 * [backup-simplify]: Simplify 1 into 1 65.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.737 * [taylor]: Taking taylor expansion of k in n 65.737 * [backup-simplify]: Simplify k into k 65.737 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.737 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 65.737 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.737 * [taylor]: Taking taylor expansion of 2 in n 65.737 * [backup-simplify]: Simplify 2 into 2 65.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.737 * [taylor]: Taking taylor expansion of PI in n 65.737 * [backup-simplify]: Simplify PI into PI 65.737 * [taylor]: Taking taylor expansion of n in n 65.737 * [backup-simplify]: Simplify 0 into 0 65.737 * [backup-simplify]: Simplify 1 into 1 65.737 * [backup-simplify]: Simplify (/ PI 1) into PI 65.738 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.739 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.739 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 65.739 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 65.739 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 65.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.742 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 65.743 * [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))))) 65.744 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 65.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 65.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.744 * [taylor]: Taking taylor expansion of k in n 65.744 * [backup-simplify]: Simplify k into k 65.744 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.744 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 65.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 65.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 65.745 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 65.745 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 65.745 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 65.745 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 65.745 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 65.745 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 65.745 * [taylor]: Taking taylor expansion of 1/2 in k 65.745 * [backup-simplify]: Simplify 1/2 into 1/2 65.745 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 65.745 * [taylor]: Taking taylor expansion of 1 in k 65.745 * [backup-simplify]: Simplify 1 into 1 65.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.745 * [taylor]: Taking taylor expansion of k in k 65.745 * [backup-simplify]: Simplify 0 into 0 65.745 * [backup-simplify]: Simplify 1 into 1 65.745 * [backup-simplify]: Simplify (/ 1 1) into 1 65.745 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 65.745 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 65.746 * [taylor]: Taking taylor expansion of 2 in k 65.746 * [backup-simplify]: Simplify 2 into 2 65.746 * [taylor]: Taking taylor expansion of (/ PI n) in k 65.746 * [taylor]: Taking taylor expansion of PI in k 65.746 * [backup-simplify]: Simplify PI into PI 65.746 * [taylor]: Taking taylor expansion of n in k 65.746 * [backup-simplify]: Simplify n into n 65.746 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 65.746 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 65.746 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 65.746 * [backup-simplify]: Simplify (- 1) into -1 65.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 65.747 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 65.747 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 65.747 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 65.747 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 65.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 65.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.747 * [taylor]: Taking taylor expansion of k in k 65.747 * [backup-simplify]: Simplify 0 into 0 65.747 * [backup-simplify]: Simplify 1 into 1 65.747 * [backup-simplify]: Simplify (/ 1 1) into 1 65.748 * [backup-simplify]: Simplify (sqrt 0) into 0 65.748 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 65.748 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 65.748 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 65.749 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 65.749 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 65.749 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 65.749 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 65.749 * [taylor]: Taking taylor expansion of 1/2 in k 65.749 * [backup-simplify]: Simplify 1/2 into 1/2 65.749 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 65.749 * [taylor]: Taking taylor expansion of 1 in k 65.749 * [backup-simplify]: Simplify 1 into 1 65.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.749 * [taylor]: Taking taylor expansion of k in k 65.749 * [backup-simplify]: Simplify 0 into 0 65.749 * [backup-simplify]: Simplify 1 into 1 65.749 * [backup-simplify]: Simplify (/ 1 1) into 1 65.749 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 65.749 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 65.749 * [taylor]: Taking taylor expansion of 2 in k 65.749 * [backup-simplify]: Simplify 2 into 2 65.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 65.749 * [taylor]: Taking taylor expansion of PI in k 65.749 * [backup-simplify]: Simplify PI into PI 65.749 * [taylor]: Taking taylor expansion of n in k 65.749 * [backup-simplify]: Simplify n into n 65.749 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 65.749 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 65.749 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 65.749 * [backup-simplify]: Simplify (- 1) into -1 65.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 65.750 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 65.750 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 65.750 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 65.750 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 65.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 65.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.750 * [taylor]: Taking taylor expansion of k in k 65.750 * [backup-simplify]: Simplify 0 into 0 65.750 * [backup-simplify]: Simplify 1 into 1 65.751 * [backup-simplify]: Simplify (/ 1 1) into 1 65.751 * [backup-simplify]: Simplify (sqrt 0) into 0 65.752 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 65.752 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 65.752 * [taylor]: Taking taylor expansion of 0 in n 65.752 * [backup-simplify]: Simplify 0 into 0 65.752 * [backup-simplify]: Simplify 0 into 0 65.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 65.752 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 65.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 65.753 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 65.753 * [taylor]: Taking taylor expansion of +nan.0 in n 65.753 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.753 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 65.753 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 65.753 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 65.753 * [taylor]: Taking taylor expansion of 1/2 in n 65.753 * [backup-simplify]: Simplify 1/2 into 1/2 65.753 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 65.753 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 65.753 * [taylor]: Taking taylor expansion of 1 in n 65.753 * [backup-simplify]: Simplify 1 into 1 65.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.753 * [taylor]: Taking taylor expansion of k in n 65.753 * [backup-simplify]: Simplify k into k 65.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.753 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 65.753 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.753 * [taylor]: Taking taylor expansion of 2 in n 65.753 * [backup-simplify]: Simplify 2 into 2 65.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.753 * [taylor]: Taking taylor expansion of PI in n 65.753 * [backup-simplify]: Simplify PI into PI 65.753 * [taylor]: Taking taylor expansion of n in n 65.753 * [backup-simplify]: Simplify 0 into 0 65.753 * [backup-simplify]: Simplify 1 into 1 65.753 * [backup-simplify]: Simplify (/ PI 1) into PI 65.754 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.754 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.754 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 65.754 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 65.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.756 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 65.757 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 65.757 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 65.758 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 65.759 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 65.759 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 65.760 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 65.760 * [backup-simplify]: Simplify 0 into 0 65.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 65.762 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 65.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 65.763 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 65.763 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 65.763 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 65.763 * [taylor]: Taking taylor expansion of +nan.0 in n 65.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.763 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 65.763 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 65.763 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 65.763 * [taylor]: Taking taylor expansion of 1/2 in n 65.763 * [backup-simplify]: Simplify 1/2 into 1/2 65.763 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 65.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 65.763 * [taylor]: Taking taylor expansion of 1 in n 65.763 * [backup-simplify]: Simplify 1 into 1 65.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.763 * [taylor]: Taking taylor expansion of k in n 65.763 * [backup-simplify]: Simplify k into k 65.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.764 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 65.764 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.764 * [taylor]: Taking taylor expansion of 2 in n 65.764 * [backup-simplify]: Simplify 2 into 2 65.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.764 * [taylor]: Taking taylor expansion of PI in n 65.764 * [backup-simplify]: Simplify PI into PI 65.764 * [taylor]: Taking taylor expansion of n in n 65.764 * [backup-simplify]: Simplify 0 into 0 65.764 * [backup-simplify]: Simplify 1 into 1 65.769 * [backup-simplify]: Simplify (/ PI 1) into PI 65.770 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.770 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.770 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 65.770 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 65.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.772 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 65.773 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 65.773 * [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))))) 65.774 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 65.775 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 65.776 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 65.778 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 65.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 65.779 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 65.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 65.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 65.781 * [backup-simplify]: Simplify (- 0) into 0 65.782 * [backup-simplify]: Simplify (+ 0 0) into 0 65.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.784 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 65.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 65.788 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 65.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 65.791 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 65.792 * [backup-simplify]: Simplify (- 0) into 0 65.792 * [backup-simplify]: Simplify 0 into 0 65.792 * [backup-simplify]: Simplify 0 into 0 65.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 65.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 65.799 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 65.799 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 65.799 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 65.799 * [taylor]: Taking taylor expansion of +nan.0 in n 65.799 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.799 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 65.799 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 65.799 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 65.799 * [taylor]: Taking taylor expansion of 1/2 in n 65.799 * [backup-simplify]: Simplify 1/2 into 1/2 65.799 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 65.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 65.799 * [taylor]: Taking taylor expansion of 1 in n 65.799 * [backup-simplify]: Simplify 1 into 1 65.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.799 * [taylor]: Taking taylor expansion of k in n 65.799 * [backup-simplify]: Simplify k into k 65.799 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.799 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 65.799 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 65.799 * [taylor]: Taking taylor expansion of 2 in n 65.799 * [backup-simplify]: Simplify 2 into 2 65.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.799 * [taylor]: Taking taylor expansion of PI in n 65.799 * [backup-simplify]: Simplify PI into PI 65.799 * [taylor]: Taking taylor expansion of n in n 65.799 * [backup-simplify]: Simplify 0 into 0 65.799 * [backup-simplify]: Simplify 1 into 1 65.800 * [backup-simplify]: Simplify (/ PI 1) into PI 65.800 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 65.801 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.801 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 65.801 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 65.803 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 65.804 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 65.805 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 65.806 * [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))))) 65.807 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 65.808 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 65.808 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 65.809 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 65.811 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 65.812 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 65.812 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 65.812 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 65.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 65.812 * [taylor]: Taking taylor expansion of (/ -1 k) in n 65.812 * [taylor]: Taking taylor expansion of -1 in n 65.812 * [backup-simplify]: Simplify -1 into -1 65.812 * [taylor]: Taking taylor expansion of k in n 65.812 * [backup-simplify]: Simplify k into k 65.812 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 65.812 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 65.812 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 65.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 65.812 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 65.812 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 65.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 65.812 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 65.812 * [taylor]: Taking taylor expansion of 1/2 in n 65.812 * [backup-simplify]: Simplify 1/2 into 1/2 65.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 65.812 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.812 * [taylor]: Taking taylor expansion of k in n 65.812 * [backup-simplify]: Simplify k into k 65.812 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.812 * [taylor]: Taking taylor expansion of 1 in n 65.812 * [backup-simplify]: Simplify 1 into 1 65.812 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 65.812 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.812 * [taylor]: Taking taylor expansion of -2 in n 65.812 * [backup-simplify]: Simplify -2 into -2 65.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.812 * [taylor]: Taking taylor expansion of PI in n 65.812 * [backup-simplify]: Simplify PI into PI 65.812 * [taylor]: Taking taylor expansion of n in n 65.812 * [backup-simplify]: Simplify 0 into 0 65.812 * [backup-simplify]: Simplify 1 into 1 65.813 * [backup-simplify]: Simplify (/ PI 1) into PI 65.813 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.814 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 65.814 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 65.814 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 65.815 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.815 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 65.816 * [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))))) 65.817 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 65.817 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 65.817 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 65.817 * [taylor]: Taking taylor expansion of (/ -1 k) in k 65.817 * [taylor]: Taking taylor expansion of -1 in k 65.817 * [backup-simplify]: Simplify -1 into -1 65.817 * [taylor]: Taking taylor expansion of k in k 65.817 * [backup-simplify]: Simplify 0 into 0 65.817 * [backup-simplify]: Simplify 1 into 1 65.817 * [backup-simplify]: Simplify (/ -1 1) into -1 65.817 * [backup-simplify]: Simplify (sqrt 0) into 0 65.818 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 65.818 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 65.818 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 65.818 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 65.818 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 65.818 * [taylor]: Taking taylor expansion of 1/2 in k 65.818 * [backup-simplify]: Simplify 1/2 into 1/2 65.818 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 65.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.818 * [taylor]: Taking taylor expansion of k in k 65.818 * [backup-simplify]: Simplify 0 into 0 65.818 * [backup-simplify]: Simplify 1 into 1 65.818 * [backup-simplify]: Simplify (/ 1 1) into 1 65.819 * [taylor]: Taking taylor expansion of 1 in k 65.819 * [backup-simplify]: Simplify 1 into 1 65.819 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 65.819 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 65.819 * [taylor]: Taking taylor expansion of -2 in k 65.819 * [backup-simplify]: Simplify -2 into -2 65.819 * [taylor]: Taking taylor expansion of (/ PI n) in k 65.819 * [taylor]: Taking taylor expansion of PI in k 65.819 * [backup-simplify]: Simplify PI into PI 65.819 * [taylor]: Taking taylor expansion of n in k 65.819 * [backup-simplify]: Simplify n into n 65.819 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 65.819 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 65.819 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 65.819 * [backup-simplify]: Simplify (+ 1 0) into 1 65.819 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.819 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 65.820 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 65.820 * [backup-simplify]: Simplify (/ +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))))) 65.820 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 65.820 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 65.820 * [taylor]: Taking taylor expansion of (/ -1 k) in k 65.820 * [taylor]: Taking taylor expansion of -1 in k 65.820 * [backup-simplify]: Simplify -1 into -1 65.820 * [taylor]: Taking taylor expansion of k in k 65.820 * [backup-simplify]: Simplify 0 into 0 65.820 * [backup-simplify]: Simplify 1 into 1 65.820 * [backup-simplify]: Simplify (/ -1 1) into -1 65.820 * [backup-simplify]: Simplify (sqrt 0) into 0 65.821 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 65.821 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 65.821 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 65.821 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 65.821 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 65.821 * [taylor]: Taking taylor expansion of 1/2 in k 65.821 * [backup-simplify]: Simplify 1/2 into 1/2 65.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 65.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.821 * [taylor]: Taking taylor expansion of k in k 65.821 * [backup-simplify]: Simplify 0 into 0 65.821 * [backup-simplify]: Simplify 1 into 1 65.822 * [backup-simplify]: Simplify (/ 1 1) into 1 65.822 * [taylor]: Taking taylor expansion of 1 in k 65.822 * [backup-simplify]: Simplify 1 into 1 65.822 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 65.822 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 65.822 * [taylor]: Taking taylor expansion of -2 in k 65.822 * [backup-simplify]: Simplify -2 into -2 65.822 * [taylor]: Taking taylor expansion of (/ PI n) in k 65.822 * [taylor]: Taking taylor expansion of PI in k 65.822 * [backup-simplify]: Simplify PI into PI 65.822 * [taylor]: Taking taylor expansion of n in k 65.822 * [backup-simplify]: Simplify n into n 65.822 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 65.822 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 65.822 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 65.822 * [backup-simplify]: Simplify (+ 1 0) into 1 65.822 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.823 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 65.823 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 65.823 * [backup-simplify]: Simplify (/ +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))))) 65.823 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 65.823 * [taylor]: Taking taylor expansion of +nan.0 in n 65.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.823 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 65.823 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 65.823 * [taylor]: Taking taylor expansion of 1/2 in n 65.823 * [backup-simplify]: Simplify 1/2 into 1/2 65.823 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 65.823 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 65.823 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.823 * [taylor]: Taking taylor expansion of -2 in n 65.823 * [backup-simplify]: Simplify -2 into -2 65.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.823 * [taylor]: Taking taylor expansion of PI in n 65.823 * [backup-simplify]: Simplify PI into PI 65.823 * [taylor]: Taking taylor expansion of n in n 65.823 * [backup-simplify]: Simplify 0 into 0 65.823 * [backup-simplify]: Simplify 1 into 1 65.824 * [backup-simplify]: Simplify (/ PI 1) into PI 65.824 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.824 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 65.824 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 65.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.824 * [taylor]: Taking taylor expansion of k in n 65.824 * [backup-simplify]: Simplify k into k 65.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.824 * [taylor]: Taking taylor expansion of 1 in n 65.825 * [backup-simplify]: Simplify 1 into 1 65.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.825 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 65.826 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 65.827 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 65.828 * [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))))) 65.828 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 65.829 * [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)))))) 65.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 65.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 65.832 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 65.832 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 65.832 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 65.832 * [taylor]: Taking taylor expansion of +nan.0 in n 65.832 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.832 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 65.832 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 65.832 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 65.832 * [taylor]: Taking taylor expansion of 1/2 in n 65.832 * [backup-simplify]: Simplify 1/2 into 1/2 65.832 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 65.832 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 65.832 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.832 * [taylor]: Taking taylor expansion of -2 in n 65.832 * [backup-simplify]: Simplify -2 into -2 65.832 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.832 * [taylor]: Taking taylor expansion of PI in n 65.832 * [backup-simplify]: Simplify PI into PI 65.832 * [taylor]: Taking taylor expansion of n in n 65.832 * [backup-simplify]: Simplify 0 into 0 65.832 * [backup-simplify]: Simplify 1 into 1 65.832 * [backup-simplify]: Simplify (/ PI 1) into PI 65.833 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.833 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 65.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 65.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.833 * [taylor]: Taking taylor expansion of k in n 65.833 * [backup-simplify]: Simplify k into k 65.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.833 * [taylor]: Taking taylor expansion of 1 in n 65.833 * [backup-simplify]: Simplify 1 into 1 65.834 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.834 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 65.835 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 65.837 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 65.838 * [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))))) 65.839 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 65.840 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 65.841 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 65.842 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 65.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 65.844 * [backup-simplify]: Simplify (+ 0 0) into 0 65.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 65.846 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 65.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 65.849 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 65.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 65.852 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 65.856 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 65.856 * [backup-simplify]: Simplify 0 into 0 65.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 65.862 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 65.862 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 65.862 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 65.862 * [taylor]: Taking taylor expansion of +nan.0 in n 65.862 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.862 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 65.862 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 65.862 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 65.863 * [taylor]: Taking taylor expansion of 1/2 in n 65.863 * [backup-simplify]: Simplify 1/2 into 1/2 65.863 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 65.863 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 65.863 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 65.863 * [taylor]: Taking taylor expansion of -2 in n 65.863 * [backup-simplify]: Simplify -2 into -2 65.863 * [taylor]: Taking taylor expansion of (/ PI n) in n 65.863 * [taylor]: Taking taylor expansion of PI in n 65.863 * [backup-simplify]: Simplify PI into PI 65.863 * [taylor]: Taking taylor expansion of n in n 65.863 * [backup-simplify]: Simplify 0 into 0 65.863 * [backup-simplify]: Simplify 1 into 1 65.863 * [backup-simplify]: Simplify (/ PI 1) into PI 65.864 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 65.865 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 65.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 65.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.865 * [taylor]: Taking taylor expansion of k in n 65.865 * [backup-simplify]: Simplify k into k 65.865 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.865 * [taylor]: Taking taylor expansion of 1 in n 65.865 * [backup-simplify]: Simplify 1 into 1 65.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 65.867 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 65.868 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 65.869 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 65.870 * [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))))) 65.871 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 65.872 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))) 65.873 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 65.874 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 65.878 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (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 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 65.879 * * * * [progress]: [ 4 / 4 ] generating series at (2) 65.879 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 65.879 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 65.879 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 65.879 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 65.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 65.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 65.879 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 65.879 * [taylor]: Taking taylor expansion of 1/2 in n 65.880 * [backup-simplify]: Simplify 1/2 into 1/2 65.880 * [taylor]: Taking taylor expansion of (- 1 k) in n 65.880 * [taylor]: Taking taylor expansion of 1 in n 65.880 * [backup-simplify]: Simplify 1 into 1 65.880 * [taylor]: Taking taylor expansion of k in n 65.880 * [backup-simplify]: Simplify k into k 65.880 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.880 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.880 * [taylor]: Taking taylor expansion of 2 in n 65.880 * [backup-simplify]: Simplify 2 into 2 65.880 * [taylor]: Taking taylor expansion of (* n PI) in n 65.880 * [taylor]: Taking taylor expansion of n in n 65.880 * [backup-simplify]: Simplify 0 into 0 65.880 * [backup-simplify]: Simplify 1 into 1 65.880 * [taylor]: Taking taylor expansion of PI in n 65.880 * [backup-simplify]: Simplify PI into PI 65.880 * [backup-simplify]: Simplify (* 0 PI) into 0 65.881 * [backup-simplify]: Simplify (* 2 0) into 0 65.882 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.884 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.885 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.885 * [backup-simplify]: Simplify (- k) into (- k) 65.885 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 65.885 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 65.892 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.894 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 65.895 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 65.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 65.895 * [taylor]: Taking taylor expansion of (/ 1 k) in n 65.895 * [taylor]: Taking taylor expansion of k in n 65.895 * [backup-simplify]: Simplify k into k 65.895 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 65.895 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 65.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 65.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 65.895 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 65.895 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 65.895 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 65.895 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 65.895 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 65.895 * [taylor]: Taking taylor expansion of 1/2 in k 65.895 * [backup-simplify]: Simplify 1/2 into 1/2 65.895 * [taylor]: Taking taylor expansion of (- 1 k) in k 65.895 * [taylor]: Taking taylor expansion of 1 in k 65.895 * [backup-simplify]: Simplify 1 into 1 65.896 * [taylor]: Taking taylor expansion of k in k 65.896 * [backup-simplify]: Simplify 0 into 0 65.896 * [backup-simplify]: Simplify 1 into 1 65.896 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 65.896 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 65.896 * [taylor]: Taking taylor expansion of 2 in k 65.896 * [backup-simplify]: Simplify 2 into 2 65.896 * [taylor]: Taking taylor expansion of (* n PI) in k 65.896 * [taylor]: Taking taylor expansion of n in k 65.896 * [backup-simplify]: Simplify n into n 65.896 * [taylor]: Taking taylor expansion of PI in k 65.896 * [backup-simplify]: Simplify PI into PI 65.896 * [backup-simplify]: Simplify (* n PI) into (* n PI) 65.896 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 65.896 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 65.896 * [backup-simplify]: Simplify (- 0) into 0 65.897 * [backup-simplify]: Simplify (+ 1 0) into 1 65.897 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.897 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 65.897 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 65.897 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 65.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.898 * [taylor]: Taking taylor expansion of k in k 65.898 * [backup-simplify]: Simplify 0 into 0 65.898 * [backup-simplify]: Simplify 1 into 1 65.898 * [backup-simplify]: Simplify (/ 1 1) into 1 65.898 * [backup-simplify]: Simplify (sqrt 0) into 0 65.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 65.900 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 65.900 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 65.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 65.900 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 65.900 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 65.900 * [taylor]: Taking taylor expansion of 1/2 in k 65.900 * [backup-simplify]: Simplify 1/2 into 1/2 65.900 * [taylor]: Taking taylor expansion of (- 1 k) in k 65.900 * [taylor]: Taking taylor expansion of 1 in k 65.900 * [backup-simplify]: Simplify 1 into 1 65.900 * [taylor]: Taking taylor expansion of k in k 65.900 * [backup-simplify]: Simplify 0 into 0 65.900 * [backup-simplify]: Simplify 1 into 1 65.900 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 65.900 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 65.900 * [taylor]: Taking taylor expansion of 2 in k 65.900 * [backup-simplify]: Simplify 2 into 2 65.900 * [taylor]: Taking taylor expansion of (* n PI) in k 65.900 * [taylor]: Taking taylor expansion of n in k 65.900 * [backup-simplify]: Simplify n into n 65.900 * [taylor]: Taking taylor expansion of PI in k 65.900 * [backup-simplify]: Simplify PI into PI 65.900 * [backup-simplify]: Simplify (* n PI) into (* n PI) 65.900 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 65.900 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 65.901 * [backup-simplify]: Simplify (- 0) into 0 65.902 * [backup-simplify]: Simplify (+ 1 0) into 1 65.902 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 65.902 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 65.902 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 65.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 65.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k 65.902 * [taylor]: Taking taylor expansion of k in k 65.902 * [backup-simplify]: Simplify 0 into 0 65.902 * [backup-simplify]: Simplify 1 into 1 65.903 * [backup-simplify]: Simplify (/ 1 1) into 1 65.903 * [backup-simplify]: Simplify (sqrt 0) into 0 65.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 65.905 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 65.905 * [taylor]: Taking taylor expansion of 0 in n 65.905 * [backup-simplify]: Simplify 0 into 0 65.905 * [backup-simplify]: Simplify 0 into 0 65.905 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 65.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 65.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 65.907 * [backup-simplify]: Simplify (- 1) into -1 65.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 65.908 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 65.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 65.909 * [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))))) 65.909 * [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))))) 65.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 65.909 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 65.910 * [taylor]: Taking taylor expansion of +nan.0 in n 65.910 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.910 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 65.910 * [taylor]: Taking taylor expansion of (sqrt 2) in n 65.910 * [taylor]: Taking taylor expansion of 2 in n 65.910 * [backup-simplify]: Simplify 2 into 2 65.910 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 65.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 65.911 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 65.911 * [taylor]: Taking taylor expansion of (* n PI) in n 65.911 * [taylor]: Taking taylor expansion of n in n 65.911 * [backup-simplify]: Simplify 0 into 0 65.911 * [backup-simplify]: Simplify 1 into 1 65.911 * [taylor]: Taking taylor expansion of PI in n 65.911 * [backup-simplify]: Simplify PI into PI 65.911 * [backup-simplify]: Simplify (* 0 PI) into 0 65.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.913 * [backup-simplify]: Simplify (sqrt 0) into 0 65.915 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 65.916 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 65.916 * [backup-simplify]: Simplify (* +nan.0 0) into 0 65.916 * [backup-simplify]: Simplify (- 0) into 0 65.917 * [backup-simplify]: Simplify 0 into 0 65.917 * [backup-simplify]: Simplify 0 into 0 65.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 65.920 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 65.921 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 65.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 65.923 * [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 65.924 * [backup-simplify]: Simplify (- 0) into 0 65.924 * [backup-simplify]: Simplify (+ 0 0) into 0 65.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 65.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 65.927 * [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))) 65.927 * [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))))))) 65.927 * [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 65.927 * [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 65.927 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 65.927 * [taylor]: Taking taylor expansion of +nan.0 in n 65.927 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.927 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 65.927 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 65.927 * [taylor]: Taking taylor expansion of (sqrt 2) in n 65.927 * [taylor]: Taking taylor expansion of 2 in n 65.927 * [backup-simplify]: Simplify 2 into 2 65.928 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 65.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 65.928 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.928 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.928 * [taylor]: Taking taylor expansion of 2 in n 65.928 * [backup-simplify]: Simplify 2 into 2 65.928 * [taylor]: Taking taylor expansion of (* n PI) in n 65.928 * [taylor]: Taking taylor expansion of n in n 65.928 * [backup-simplify]: Simplify 0 into 0 65.928 * [backup-simplify]: Simplify 1 into 1 65.928 * [taylor]: Taking taylor expansion of PI in n 65.928 * [backup-simplify]: Simplify PI into PI 65.928 * [backup-simplify]: Simplify (* 0 PI) into 0 65.929 * [backup-simplify]: Simplify (* 2 0) into 0 65.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.930 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.931 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.931 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 65.931 * [taylor]: Taking taylor expansion of (* n PI) in n 65.931 * [taylor]: Taking taylor expansion of n in n 65.931 * [backup-simplify]: Simplify 0 into 0 65.931 * [backup-simplify]: Simplify 1 into 1 65.931 * [taylor]: Taking taylor expansion of PI in n 65.931 * [backup-simplify]: Simplify PI into PI 65.931 * [backup-simplify]: Simplify (* 0 PI) into 0 65.932 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.933 * [backup-simplify]: Simplify (sqrt 0) into 0 65.933 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 65.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 65.933 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 65.933 * [taylor]: Taking taylor expansion of +nan.0 in n 65.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.933 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 65.933 * [taylor]: Taking taylor expansion of (sqrt 2) in n 65.933 * [taylor]: Taking taylor expansion of 2 in n 65.933 * [backup-simplify]: Simplify 2 into 2 65.934 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 65.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 65.934 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 65.934 * [taylor]: Taking taylor expansion of (* n PI) in n 65.934 * [taylor]: Taking taylor expansion of n in n 65.934 * [backup-simplify]: Simplify 0 into 0 65.934 * [backup-simplify]: Simplify 1 into 1 65.934 * [taylor]: Taking taylor expansion of PI in n 65.934 * [backup-simplify]: Simplify PI into PI 65.934 * [backup-simplify]: Simplify (* 0 PI) into 0 65.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.936 * [backup-simplify]: Simplify (sqrt 0) into 0 65.936 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 65.937 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.938 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 65.939 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 65.939 * [backup-simplify]: Simplify (* +nan.0 0) into 0 65.939 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 65.940 * [backup-simplify]: Simplify (* +nan.0 0) into 0 65.940 * [backup-simplify]: Simplify (- 0) into 0 65.940 * [backup-simplify]: Simplify (+ 0 0) into 0 65.940 * [backup-simplify]: Simplify (- 0) into 0 65.940 * [backup-simplify]: Simplify 0 into 0 65.942 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 65.945 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 65.947 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 65.948 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 65.948 * [backup-simplify]: Simplify 0 into 0 65.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 65.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 65.952 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 65.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 65.954 * [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 65.954 * [backup-simplify]: Simplify (- 0) into 0 65.955 * [backup-simplify]: Simplify (+ 0 0) into 0 65.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 65.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 65.959 * [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))) 65.960 * [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))))))))) 65.960 * [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 65.960 * [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 65.960 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 65.960 * [taylor]: Taking taylor expansion of +nan.0 in n 65.960 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.960 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 65.961 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 65.961 * [taylor]: Taking taylor expansion of (sqrt 2) in n 65.961 * [taylor]: Taking taylor expansion of 2 in n 65.961 * [backup-simplify]: Simplify 2 into 2 65.961 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 65.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 65.962 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.962 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.962 * [taylor]: Taking taylor expansion of 2 in n 65.962 * [backup-simplify]: Simplify 2 into 2 65.962 * [taylor]: Taking taylor expansion of (* n PI) in n 65.962 * [taylor]: Taking taylor expansion of n in n 65.962 * [backup-simplify]: Simplify 0 into 0 65.962 * [backup-simplify]: Simplify 1 into 1 65.962 * [taylor]: Taking taylor expansion of PI in n 65.962 * [backup-simplify]: Simplify PI into PI 65.962 * [backup-simplify]: Simplify (* 0 PI) into 0 65.963 * [backup-simplify]: Simplify (* 2 0) into 0 65.964 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.966 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.967 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.967 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 65.967 * [taylor]: Taking taylor expansion of (* n PI) in n 65.967 * [taylor]: Taking taylor expansion of n in n 65.967 * [backup-simplify]: Simplify 0 into 0 65.967 * [backup-simplify]: Simplify 1 into 1 65.967 * [taylor]: Taking taylor expansion of PI in n 65.967 * [backup-simplify]: Simplify PI into PI 65.968 * [backup-simplify]: Simplify (* 0 PI) into 0 65.969 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.970 * [backup-simplify]: Simplify (sqrt 0) into 0 65.971 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 65.971 * [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 65.971 * [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 65.971 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 65.971 * [taylor]: Taking taylor expansion of +nan.0 in n 65.971 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.971 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 65.971 * [taylor]: Taking taylor expansion of (sqrt 2) in n 65.971 * [taylor]: Taking taylor expansion of 2 in n 65.971 * [backup-simplify]: Simplify 2 into 2 65.972 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 65.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 65.972 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 65.972 * [taylor]: Taking taylor expansion of (* n PI) in n 65.972 * [taylor]: Taking taylor expansion of n in n 65.972 * [backup-simplify]: Simplify 0 into 0 65.972 * [backup-simplify]: Simplify 1 into 1 65.972 * [taylor]: Taking taylor expansion of PI in n 65.972 * [backup-simplify]: Simplify PI into PI 65.973 * [backup-simplify]: Simplify (* 0 PI) into 0 65.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.975 * [backup-simplify]: Simplify (sqrt 0) into 0 65.976 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 65.976 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 65.976 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 65.976 * [taylor]: Taking taylor expansion of +nan.0 in n 65.976 * [backup-simplify]: Simplify +nan.0 into +nan.0 65.976 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 65.976 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 65.976 * [taylor]: Taking taylor expansion of (sqrt 2) in n 65.976 * [taylor]: Taking taylor expansion of 2 in n 65.976 * [backup-simplify]: Simplify 2 into 2 65.977 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 65.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 65.977 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 65.977 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 65.977 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 65.977 * [taylor]: Taking taylor expansion of 2 in n 65.978 * [backup-simplify]: Simplify 2 into 2 65.978 * [taylor]: Taking taylor expansion of (* n PI) in n 65.978 * [taylor]: Taking taylor expansion of n in n 65.978 * [backup-simplify]: Simplify 0 into 0 65.978 * [backup-simplify]: Simplify 1 into 1 65.978 * [taylor]: Taking taylor expansion of PI in n 65.978 * [backup-simplify]: Simplify PI into PI 65.978 * [backup-simplify]: Simplify (* 0 PI) into 0 65.979 * [backup-simplify]: Simplify (* 2 0) into 0 65.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.981 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 65.982 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 65.983 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.983 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 65.983 * [taylor]: Taking taylor expansion of (* n PI) in n 65.983 * [taylor]: Taking taylor expansion of n in n 65.983 * [backup-simplify]: Simplify 0 into 0 65.983 * [backup-simplify]: Simplify 1 into 1 65.983 * [taylor]: Taking taylor expansion of PI in n 65.983 * [backup-simplify]: Simplify PI into PI 65.983 * [backup-simplify]: Simplify (* 0 PI) into 0 65.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 65.985 * [backup-simplify]: Simplify (sqrt 0) into 0 65.985 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 65.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.987 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 65.988 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 65.988 * [backup-simplify]: Simplify (* +nan.0 0) into 0 65.988 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 65.989 * [backup-simplify]: Simplify (* +nan.0 0) into 0 65.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.992 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 65.992 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 65.993 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 65.994 * [backup-simplify]: Simplify (* +nan.0 0) into 0 65.994 * [backup-simplify]: Simplify (- 0) into 0 65.994 * [backup-simplify]: Simplify (+ 0 0) into 0 65.994 * [backup-simplify]: Simplify (- 0) into 0 65.994 * [backup-simplify]: Simplify (+ 0 0) into 0 65.995 * [backup-simplify]: Simplify (- 0) into 0 65.995 * [backup-simplify]: Simplify 0 into 0 65.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 65.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 65.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 65.998 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 65.999 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 66.005 * [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)))))))) 66.009 * [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)))))))) 66.011 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 66.014 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 66.016 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 66.023 * [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)))))))))) 66.030 * [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))))))) 66.038 * [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))))))) 66.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.043 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 66.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 66.049 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 66.057 * [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)))) 66.061 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 66.064 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 66.078 * [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))))))))))))) 66.078 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 66.079 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 66.079 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 66.079 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 66.079 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 66.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 66.079 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 66.079 * [taylor]: Taking taylor expansion of 1/2 in n 66.079 * [backup-simplify]: Simplify 1/2 into 1/2 66.079 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.079 * [taylor]: Taking taylor expansion of 1 in n 66.079 * [backup-simplify]: Simplify 1 into 1 66.079 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.079 * [taylor]: Taking taylor expansion of k in n 66.079 * [backup-simplify]: Simplify k into k 66.079 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.079 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.079 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.079 * [taylor]: Taking taylor expansion of 2 in n 66.079 * [backup-simplify]: Simplify 2 into 2 66.079 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.079 * [taylor]: Taking taylor expansion of PI in n 66.079 * [backup-simplify]: Simplify PI into PI 66.079 * [taylor]: Taking taylor expansion of n in n 66.079 * [backup-simplify]: Simplify 0 into 0 66.079 * [backup-simplify]: Simplify 1 into 1 66.080 * [backup-simplify]: Simplify (/ PI 1) into PI 66.080 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.081 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.081 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.081 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.081 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 66.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.084 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.085 * [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))))) 66.085 * [taylor]: Taking taylor expansion of (sqrt k) in n 66.085 * [taylor]: Taking taylor expansion of k in n 66.085 * [backup-simplify]: Simplify k into k 66.085 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 66.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 66.085 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 66.085 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.085 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.085 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.085 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.085 * [taylor]: Taking taylor expansion of 1/2 in k 66.085 * [backup-simplify]: Simplify 1/2 into 1/2 66.085 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.085 * [taylor]: Taking taylor expansion of 1 in k 66.085 * [backup-simplify]: Simplify 1 into 1 66.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.085 * [taylor]: Taking taylor expansion of k in k 66.085 * [backup-simplify]: Simplify 0 into 0 66.085 * [backup-simplify]: Simplify 1 into 1 66.086 * [backup-simplify]: Simplify (/ 1 1) into 1 66.086 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.086 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.086 * [taylor]: Taking taylor expansion of 2 in k 66.086 * [backup-simplify]: Simplify 2 into 2 66.086 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.086 * [taylor]: Taking taylor expansion of PI in k 66.086 * [backup-simplify]: Simplify PI into PI 66.086 * [taylor]: Taking taylor expansion of n in k 66.086 * [backup-simplify]: Simplify n into n 66.086 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.086 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.086 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.087 * [backup-simplify]: Simplify (- 1) into -1 66.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.087 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.088 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.088 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.088 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.088 * [taylor]: Taking taylor expansion of k in k 66.088 * [backup-simplify]: Simplify 0 into 0 66.088 * [backup-simplify]: Simplify 1 into 1 66.088 * [backup-simplify]: Simplify (sqrt 0) into 0 66.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.090 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 66.090 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.090 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.090 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.090 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.090 * [taylor]: Taking taylor expansion of 1/2 in k 66.090 * [backup-simplify]: Simplify 1/2 into 1/2 66.090 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.090 * [taylor]: Taking taylor expansion of 1 in k 66.090 * [backup-simplify]: Simplify 1 into 1 66.090 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.090 * [taylor]: Taking taylor expansion of k in k 66.090 * [backup-simplify]: Simplify 0 into 0 66.090 * [backup-simplify]: Simplify 1 into 1 66.091 * [backup-simplify]: Simplify (/ 1 1) into 1 66.091 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.091 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.091 * [taylor]: Taking taylor expansion of 2 in k 66.091 * [backup-simplify]: Simplify 2 into 2 66.091 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.091 * [taylor]: Taking taylor expansion of PI in k 66.091 * [backup-simplify]: Simplify PI into PI 66.091 * [taylor]: Taking taylor expansion of n in k 66.091 * [backup-simplify]: Simplify n into n 66.091 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.091 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.091 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.092 * [backup-simplify]: Simplify (- 1) into -1 66.092 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.092 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.092 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.093 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.093 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.093 * [taylor]: Taking taylor expansion of k in k 66.093 * [backup-simplify]: Simplify 0 into 0 66.093 * [backup-simplify]: Simplify 1 into 1 66.093 * [backup-simplify]: Simplify (sqrt 0) into 0 66.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.095 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 66.095 * [taylor]: Taking taylor expansion of 0 in n 66.095 * [backup-simplify]: Simplify 0 into 0 66.095 * [backup-simplify]: Simplify 0 into 0 66.096 * [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)))))))) 66.096 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.096 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.096 * [taylor]: Taking taylor expansion of +nan.0 in n 66.096 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.096 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.096 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.096 * [taylor]: Taking taylor expansion of 1/2 in n 66.096 * [backup-simplify]: Simplify 1/2 into 1/2 66.096 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.096 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.096 * [taylor]: Taking taylor expansion of 1 in n 66.096 * [backup-simplify]: Simplify 1 into 1 66.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.096 * [taylor]: Taking taylor expansion of k in n 66.096 * [backup-simplify]: Simplify k into k 66.096 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.096 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.096 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.096 * [taylor]: Taking taylor expansion of 2 in n 66.096 * [backup-simplify]: Simplify 2 into 2 66.096 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.096 * [taylor]: Taking taylor expansion of PI in n 66.096 * [backup-simplify]: Simplify PI into PI 66.096 * [taylor]: Taking taylor expansion of n in n 66.096 * [backup-simplify]: Simplify 0 into 0 66.096 * [backup-simplify]: Simplify 1 into 1 66.097 * [backup-simplify]: Simplify (/ PI 1) into PI 66.097 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.098 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.098 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.098 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.100 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.101 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.102 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.103 * [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))))) 66.104 * [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)))))) 66.105 * [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))))))) 66.106 * [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))))))) 66.107 * [backup-simplify]: Simplify 0 into 0 66.109 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.110 * [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)))))))) 66.110 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.110 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.110 * [taylor]: Taking taylor expansion of +nan.0 in n 66.111 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.111 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.111 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.111 * [taylor]: Taking taylor expansion of 1/2 in n 66.111 * [backup-simplify]: Simplify 1/2 into 1/2 66.111 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.111 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.111 * [taylor]: Taking taylor expansion of 1 in n 66.111 * [backup-simplify]: Simplify 1 into 1 66.111 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.111 * [taylor]: Taking taylor expansion of k in n 66.111 * [backup-simplify]: Simplify k into k 66.111 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.111 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.111 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.111 * [taylor]: Taking taylor expansion of 2 in n 66.111 * [backup-simplify]: Simplify 2 into 2 66.111 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.111 * [taylor]: Taking taylor expansion of PI in n 66.111 * [backup-simplify]: Simplify PI into PI 66.111 * [taylor]: Taking taylor expansion of n in n 66.111 * [backup-simplify]: Simplify 0 into 0 66.111 * [backup-simplify]: Simplify 1 into 1 66.112 * [backup-simplify]: Simplify (/ PI 1) into PI 66.112 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.113 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.113 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.113 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.116 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.117 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.118 * [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))))) 66.119 * [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)))))) 66.120 * [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))))))) 66.122 * [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))))))) 66.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.123 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.126 * [backup-simplify]: Simplify (- 0) into 0 66.126 * [backup-simplify]: Simplify (+ 0 0) into 0 66.127 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.128 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 66.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 66.135 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.136 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 66.136 * [backup-simplify]: Simplify (- 0) into 0 66.136 * [backup-simplify]: Simplify 0 into 0 66.136 * [backup-simplify]: Simplify 0 into 0 66.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 66.139 * [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)))))))) 66.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.139 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.139 * [taylor]: Taking taylor expansion of +nan.0 in n 66.139 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.139 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.139 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.139 * [taylor]: Taking taylor expansion of 1/2 in n 66.139 * [backup-simplify]: Simplify 1/2 into 1/2 66.139 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.139 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.139 * [taylor]: Taking taylor expansion of 1 in n 66.139 * [backup-simplify]: Simplify 1 into 1 66.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.139 * [taylor]: Taking taylor expansion of k in n 66.139 * [backup-simplify]: Simplify k into k 66.139 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.139 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.139 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.139 * [taylor]: Taking taylor expansion of 2 in n 66.139 * [backup-simplify]: Simplify 2 into 2 66.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.139 * [taylor]: Taking taylor expansion of PI in n 66.139 * [backup-simplify]: Simplify PI into PI 66.139 * [taylor]: Taking taylor expansion of n in n 66.139 * [backup-simplify]: Simplify 0 into 0 66.139 * [backup-simplify]: Simplify 1 into 1 66.140 * [backup-simplify]: Simplify (/ PI 1) into PI 66.140 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.140 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.141 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.141 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.142 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.143 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.143 * [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))))) 66.144 * [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)))))) 66.145 * [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))))))) 66.145 * [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))))))) 66.148 * [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)))))))) 66.148 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 66.148 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 66.148 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 66.148 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 66.149 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 66.149 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 66.149 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 66.149 * [taylor]: Taking taylor expansion of 1/2 in n 66.149 * [backup-simplify]: Simplify 1/2 into 1/2 66.149 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.149 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.149 * [taylor]: Taking taylor expansion of k in n 66.149 * [backup-simplify]: Simplify k into k 66.149 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.149 * [taylor]: Taking taylor expansion of 1 in n 66.149 * [backup-simplify]: Simplify 1 into 1 66.149 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.149 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.149 * [taylor]: Taking taylor expansion of -2 in n 66.149 * [backup-simplify]: Simplify -2 into -2 66.149 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.149 * [taylor]: Taking taylor expansion of PI in n 66.149 * [backup-simplify]: Simplify PI into PI 66.149 * [taylor]: Taking taylor expansion of n in n 66.149 * [backup-simplify]: Simplify 0 into 0 66.149 * [backup-simplify]: Simplify 1 into 1 66.149 * [backup-simplify]: Simplify (/ PI 1) into PI 66.149 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.150 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.150 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.150 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 66.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.153 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.154 * [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))))) 66.154 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 66.154 * [taylor]: Taking taylor expansion of (/ -1 k) in n 66.154 * [taylor]: Taking taylor expansion of -1 in n 66.154 * [backup-simplify]: Simplify -1 into -1 66.154 * [taylor]: Taking taylor expansion of k in n 66.154 * [backup-simplify]: Simplify k into k 66.154 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 66.154 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 66.154 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 66.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 66.155 * [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))) 66.155 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 66.156 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 66.156 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 66.156 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 66.156 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 66.156 * [taylor]: Taking taylor expansion of 1/2 in k 66.156 * [backup-simplify]: Simplify 1/2 into 1/2 66.156 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.156 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.156 * [taylor]: Taking taylor expansion of k in k 66.156 * [backup-simplify]: Simplify 0 into 0 66.156 * [backup-simplify]: Simplify 1 into 1 66.156 * [backup-simplify]: Simplify (/ 1 1) into 1 66.156 * [taylor]: Taking taylor expansion of 1 in k 66.156 * [backup-simplify]: Simplify 1 into 1 66.156 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 66.156 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 66.156 * [taylor]: Taking taylor expansion of -2 in k 66.156 * [backup-simplify]: Simplify -2 into -2 66.156 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.156 * [taylor]: Taking taylor expansion of PI in k 66.156 * [backup-simplify]: Simplify PI into PI 66.156 * [taylor]: Taking taylor expansion of n in k 66.157 * [backup-simplify]: Simplify n into n 66.157 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.157 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 66.157 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 66.157 * [backup-simplify]: Simplify (+ 1 0) into 1 66.158 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.158 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 66.158 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 66.158 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 66.158 * [taylor]: Taking taylor expansion of (/ -1 k) in k 66.158 * [taylor]: Taking taylor expansion of -1 in k 66.158 * [backup-simplify]: Simplify -1 into -1 66.158 * [taylor]: Taking taylor expansion of k in k 66.158 * [backup-simplify]: Simplify 0 into 0 66.158 * [backup-simplify]: Simplify 1 into 1 66.159 * [backup-simplify]: Simplify (/ -1 1) into -1 66.159 * [backup-simplify]: Simplify (sqrt 0) into 0 66.160 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 66.160 * [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))))) 66.161 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 66.161 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 66.161 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 66.161 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 66.161 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 66.161 * [taylor]: Taking taylor expansion of 1/2 in k 66.161 * [backup-simplify]: Simplify 1/2 into 1/2 66.161 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.161 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.161 * [taylor]: Taking taylor expansion of k in k 66.161 * [backup-simplify]: Simplify 0 into 0 66.161 * [backup-simplify]: Simplify 1 into 1 66.161 * [backup-simplify]: Simplify (/ 1 1) into 1 66.161 * [taylor]: Taking taylor expansion of 1 in k 66.161 * [backup-simplify]: Simplify 1 into 1 66.161 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 66.161 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 66.161 * [taylor]: Taking taylor expansion of -2 in k 66.161 * [backup-simplify]: Simplify -2 into -2 66.161 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.161 * [taylor]: Taking taylor expansion of PI in k 66.161 * [backup-simplify]: Simplify PI into PI 66.161 * [taylor]: Taking taylor expansion of n in k 66.162 * [backup-simplify]: Simplify n into n 66.162 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.162 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 66.162 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 66.162 * [backup-simplify]: Simplify (+ 1 0) into 1 66.163 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.163 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 66.163 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 66.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 66.163 * [taylor]: Taking taylor expansion of (/ -1 k) in k 66.163 * [taylor]: Taking taylor expansion of -1 in k 66.163 * [backup-simplify]: Simplify -1 into -1 66.163 * [taylor]: Taking taylor expansion of k in k 66.163 * [backup-simplify]: Simplify 0 into 0 66.163 * [backup-simplify]: Simplify 1 into 1 66.164 * [backup-simplify]: Simplify (/ -1 1) into -1 66.164 * [backup-simplify]: Simplify (sqrt 0) into 0 66.165 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 66.165 * [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))))) 66.166 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 66.166 * [taylor]: Taking taylor expansion of +nan.0 in n 66.166 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.166 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 66.166 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 66.166 * [taylor]: Taking taylor expansion of 1/2 in n 66.166 * [backup-simplify]: Simplify 1/2 into 1/2 66.166 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 66.166 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.166 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.166 * [taylor]: Taking taylor expansion of -2 in n 66.166 * [backup-simplify]: Simplify -2 into -2 66.166 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.166 * [taylor]: Taking taylor expansion of PI in n 66.166 * [backup-simplify]: Simplify PI into PI 66.166 * [taylor]: Taking taylor expansion of n in n 66.166 * [backup-simplify]: Simplify 0 into 0 66.166 * [backup-simplify]: Simplify 1 into 1 66.166 * [backup-simplify]: Simplify (/ PI 1) into PI 66.167 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.168 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.168 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.168 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.168 * [taylor]: Taking taylor expansion of k in n 66.168 * [backup-simplify]: Simplify k into k 66.168 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.169 * [taylor]: Taking taylor expansion of 1 in n 66.169 * [backup-simplify]: Simplify 1 into 1 66.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.170 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.171 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 66.172 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.174 * [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))))) 66.175 * [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)))))) 66.176 * [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)))))) 66.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 66.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.181 * [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)))))) 66.181 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 66.181 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 66.181 * [taylor]: Taking taylor expansion of +nan.0 in n 66.181 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.181 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 66.181 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 66.181 * [taylor]: Taking taylor expansion of 1/2 in n 66.181 * [backup-simplify]: Simplify 1/2 into 1/2 66.181 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 66.181 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.181 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.181 * [taylor]: Taking taylor expansion of -2 in n 66.181 * [backup-simplify]: Simplify -2 into -2 66.181 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.181 * [taylor]: Taking taylor expansion of PI in n 66.181 * [backup-simplify]: Simplify PI into PI 66.181 * [taylor]: Taking taylor expansion of n in n 66.181 * [backup-simplify]: Simplify 0 into 0 66.181 * [backup-simplify]: Simplify 1 into 1 66.182 * [backup-simplify]: Simplify (/ PI 1) into PI 66.182 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.183 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.183 * [taylor]: Taking taylor expansion of k in n 66.183 * [backup-simplify]: Simplify k into k 66.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.183 * [taylor]: Taking taylor expansion of 1 in n 66.183 * [backup-simplify]: Simplify 1 into 1 66.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.185 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.186 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 66.187 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.188 * [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))))) 66.189 * [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)))))) 66.190 * [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))))))) 66.191 * [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))))))) 66.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.193 * [backup-simplify]: Simplify (+ 0 0) into 0 66.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.195 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 66.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 66.198 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 66.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 66.201 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.203 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 66.203 * [backup-simplify]: Simplify 0 into 0 66.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 66.210 * [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)))))) 66.210 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 66.210 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 66.210 * [taylor]: Taking taylor expansion of +nan.0 in n 66.210 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.210 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 66.210 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 66.210 * [taylor]: Taking taylor expansion of 1/2 in n 66.210 * [backup-simplify]: Simplify 1/2 into 1/2 66.210 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 66.210 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.210 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.210 * [taylor]: Taking taylor expansion of -2 in n 66.210 * [backup-simplify]: Simplify -2 into -2 66.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.210 * [taylor]: Taking taylor expansion of PI in n 66.210 * [backup-simplify]: Simplify PI into PI 66.210 * [taylor]: Taking taylor expansion of n in n 66.210 * [backup-simplify]: Simplify 0 into 0 66.210 * [backup-simplify]: Simplify 1 into 1 66.211 * [backup-simplify]: Simplify (/ PI 1) into PI 66.211 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.212 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.212 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.212 * [taylor]: Taking taylor expansion of k in n 66.212 * [backup-simplify]: Simplify k into k 66.212 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.212 * [taylor]: Taking taylor expansion of 1 in n 66.212 * [backup-simplify]: Simplify 1 into 1 66.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.214 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.215 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 66.216 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.217 * [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))))) 66.218 * [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)))))) 66.219 * [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))))))) 66.221 * [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))))))) 66.225 * [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)))))))))))) 66.225 * * * [progress]: simplifying candidates 66.225 * * * * [progress]: [ 1 / 315 ] simplifiying candidate # 66.225 * * * * [progress]: [ 2 / 315 ] simplifiying candidate # 66.225 * * * * [progress]: [ 3 / 315 ] simplifiying candidate # 66.225 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 66.225 * * [simplify]: iters left: 6 (13 enodes) 66.233 * * [simplify]: iters left: 5 (54 enodes) 66.252 * * [simplify]: iters left: 4 (97 enodes) 66.289 * * [simplify]: iters left: 3 (250 enodes) 66.404 * * [simplify]: Extracting #0: cost 1 inf + 0 66.404 * * [simplify]: Extracting #1: cost 34 inf + 0 66.404 * * [simplify]: Extracting #2: cost 100 inf + 73 66.405 * * [simplify]: Extracting #3: cost 126 inf + 1867 66.408 * * [simplify]: Extracting #4: cost 46 inf + 20363 66.419 * * [simplify]: Extracting #5: cost 5 inf + 31901 66.433 * * [simplify]: Extracting #6: cost 0 inf + 33789 66.441 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 66.441 * [simplify]: Simplified (2 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))))) 66.441 * * * * [progress]: [ 4 / 315 ] simplifiying candidate # 66.441 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 66.441 * * [simplify]: iters left: 6 (12 enodes) 66.445 * * [simplify]: iters left: 5 (52 enodes) 66.454 * * [simplify]: iters left: 4 (90 enodes) 66.474 * * [simplify]: iters left: 3 (207 enodes) 66.564 * * [simplify]: Extracting #0: cost 1 inf + 0 66.565 * * [simplify]: Extracting #1: cost 29 inf + 0 66.565 * * [simplify]: Extracting #2: cost 88 inf + 73 66.566 * * [simplify]: Extracting #3: cost 117 inf + 443 66.568 * * [simplify]: Extracting #4: cost 77 inf + 5789 66.580 * * [simplify]: Extracting #5: cost 28 inf + 17508 66.591 * * [simplify]: Extracting #6: cost 0 inf + 26056 66.598 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 66.598 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))) 66.598 * * * * [progress]: [ 5 / 315 ] simplifiying candidate # 66.598 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 66.598 * * [simplify]: iters left: 6 (11 enodes) 66.602 * * [simplify]: iters left: 5 (51 enodes) 66.612 * * [simplify]: iters left: 4 (97 enodes) 66.635 * * [simplify]: iters left: 3 (201 enodes) 66.736 * * [simplify]: Extracting #0: cost 1 inf + 0 66.736 * * [simplify]: Extracting #1: cost 31 inf + 0 66.737 * * [simplify]: Extracting #2: cost 94 inf + 2 66.738 * * [simplify]: Extracting #3: cost 127 inf + 355 66.740 * * [simplify]: Extracting #4: cost 75 inf + 7402 66.746 * * [simplify]: Extracting #5: cost 31 inf + 16283 66.756 * * [simplify]: Extracting #6: cost 3 inf + 23308 66.766 * * [simplify]: Extracting #7: cost 0 inf + 24140 66.777 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 66.777 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 66.777 * * * * [progress]: [ 6 / 315 ] simplifiying candidate # 66.777 * * * * [progress]: [ 7 / 315 ] simplifiying candidate # 66.778 * [simplify]: Simplifying (* n (* 2 PI)) 66.778 * * [simplify]: iters left: 4 (5 enodes) 66.781 * * [simplify]: iters left: 3 (19 enodes) 66.787 * * [simplify]: iters left: 2 (27 enodes) 66.795 * * [simplify]: iters left: 1 (32 enodes) 66.803 * * [simplify]: Extracting #0: cost 1 inf + 0 66.803 * * [simplify]: Extracting #1: cost 8 inf + 0 66.803 * * [simplify]: Extracting #2: cost 7 inf + 45 66.804 * * [simplify]: Extracting #3: cost 0 inf + 421 66.804 * [simplify]: Simplified to (* (* PI 2) n) 66.804 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 66.804 * * * * [progress]: [ 8 / 315 ] simplifiying candidate # 66.804 * [simplify]: Simplifying (* n (* 2 PI)) 66.804 * * [simplify]: iters left: 4 (5 enodes) 66.807 * * [simplify]: iters left: 3 (19 enodes) 66.813 * * [simplify]: iters left: 2 (27 enodes) 66.818 * * [simplify]: iters left: 1 (32 enodes) 66.825 * * [simplify]: Extracting #0: cost 1 inf + 0 66.825 * * [simplify]: Extracting #1: cost 8 inf + 0 66.825 * * [simplify]: Extracting #2: cost 7 inf + 45 66.826 * * [simplify]: Extracting #3: cost 0 inf + 421 66.826 * [simplify]: Simplified to (* (* PI 2) n) 66.826 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 66.826 * * * * [progress]: [ 9 / 315 ] simplifiying candidate # 66.826 * [simplify]: Simplifying (* n (* 2 PI)) 66.826 * * [simplify]: iters left: 4 (5 enodes) 66.828 * * [simplify]: iters left: 3 (19 enodes) 66.831 * * [simplify]: iters left: 2 (27 enodes) 66.835 * * [simplify]: iters left: 1 (32 enodes) 66.839 * * [simplify]: Extracting #0: cost 1 inf + 0 66.839 * * [simplify]: Extracting #1: cost 8 inf + 0 66.839 * * [simplify]: Extracting #2: cost 7 inf + 45 66.839 * * [simplify]: Extracting #3: cost 0 inf + 421 66.839 * [simplify]: Simplified to (* (* PI 2) n) 66.839 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 66.839 * * * * [progress]: [ 10 / 315 ] simplifiying candidate # 66.840 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 66.840 * * [simplify]: iters left: 5 (8 enodes) 66.842 * * [simplify]: iters left: 4 (31 enodes) 66.848 * * [simplify]: iters left: 3 (51 enodes) 66.865 * * [simplify]: iters left: 2 (85 enodes) 66.894 * * [simplify]: iters left: 1 (152 enodes) 66.939 * * [simplify]: Extracting #0: cost 1 inf + 0 66.939 * * [simplify]: Extracting #1: cost 13 inf + 0 66.939 * * [simplify]: Extracting #2: cost 59 inf + 1 66.940 * * [simplify]: Extracting #3: cost 76 inf + 9 66.940 * * [simplify]: Extracting #4: cost 41 inf + 3303 66.942 * * [simplify]: Extracting #5: cost 16 inf + 10676 66.945 * * [simplify]: Extracting #6: cost 0 inf + 21028 66.949 * * [simplify]: Extracting #7: cost 0 inf + 20456 66.954 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 66.954 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))) 66.954 * * * * [progress]: [ 11 / 315 ] simplifiying candidate # 66.955 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 66.955 * * [simplify]: iters left: 5 (6 enodes) 66.959 * * [simplify]: iters left: 4 (26 enodes) 66.965 * * [simplify]: iters left: 3 (35 enodes) 66.970 * * [simplify]: Extracting #0: cost 1 inf + 0 66.970 * * [simplify]: Extracting #1: cost 3 inf + 0 66.970 * * [simplify]: Extracting #2: cost 8 inf + 0 66.971 * * [simplify]: Extracting #3: cost 11 inf + 2 66.971 * * [simplify]: Extracting #4: cost 8 inf + 87 66.971 * * [simplify]: Extracting #5: cost 2 inf + 500 66.971 * * [simplify]: Extracting #6: cost 0 inf + 746 66.971 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 66.971 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 66.971 * * * * [progress]: [ 12 / 315 ] simplifiying candidate # 66.971 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 66.971 * * [simplify]: iters left: 5 (6 enodes) 66.974 * * [simplify]: iters left: 4 (26 enodes) 66.978 * * [simplify]: iters left: 3 (35 enodes) 66.983 * * [simplify]: Extracting #0: cost 1 inf + 0 66.983 * * [simplify]: Extracting #1: cost 3 inf + 0 66.983 * * [simplify]: Extracting #2: cost 8 inf + 0 66.984 * * [simplify]: Extracting #3: cost 11 inf + 2 66.984 * * [simplify]: Extracting #4: cost 8 inf + 87 66.984 * * [simplify]: Extracting #5: cost 2 inf + 460 66.984 * * [simplify]: Extracting #6: cost 0 inf + 666 66.984 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 66.984 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 66.984 * * * * [progress]: [ 13 / 315 ] simplifiying candidate # 66.984 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 66.984 * * [simplify]: iters left: 5 (7 enodes) 66.987 * * [simplify]: iters left: 4 (25 enodes) 66.991 * * [simplify]: iters left: 3 (30 enodes) 66.996 * * [simplify]: Extracting #0: cost 1 inf + 0 66.996 * * [simplify]: Extracting #1: cost 4 inf + 0 66.996 * * [simplify]: Extracting #2: cost 8 inf + 0 66.996 * * [simplify]: Extracting #3: cost 10 inf + 82 66.996 * * [simplify]: Extracting #4: cost 7 inf + 206 66.996 * * [simplify]: Extracting #5: cost 2 inf + 575 66.996 * * [simplify]: Extracting #6: cost 1 inf + 818 66.996 * * [simplify]: Extracting #7: cost 0 inf + 1061 66.997 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 66.997 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 66.997 * * * * [progress]: [ 14 / 315 ] simplifiying candidate # 66.997 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 66.997 * * [simplify]: iters left: 5 (7 enodes) 66.999 * * [simplify]: iters left: 4 (25 enodes) 67.003 * * [simplify]: iters left: 3 (30 enodes) 67.010 * * [simplify]: Extracting #0: cost 1 inf + 0 67.010 * * [simplify]: Extracting #1: cost 4 inf + 0 67.010 * * [simplify]: Extracting #2: cost 8 inf + 0 67.010 * * [simplify]: Extracting #3: cost 10 inf + 42 67.010 * * [simplify]: Extracting #4: cost 7 inf + 126 67.010 * * [simplify]: Extracting #5: cost 2 inf + 495 67.010 * * [simplify]: Extracting #6: cost 1 inf + 698 67.011 * * [simplify]: Extracting #7: cost 0 inf + 901 67.011 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 67.011 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 67.011 * * * * [progress]: [ 15 / 315 ] simplifiying candidate # 67.012 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 67.012 * * [simplify]: iters left: 5 (6 enodes) 67.016 * * [simplify]: iters left: 4 (22 enodes) 67.024 * * [simplify]: iters left: 3 (27 enodes) 67.031 * * [simplify]: Extracting #0: cost 1 inf + 0 67.031 * * [simplify]: Extracting #1: cost 4 inf + 0 67.031 * * [simplify]: Extracting #2: cost 5 inf + 1 67.031 * * [simplify]: Extracting #3: cost 9 inf + 1 67.032 * * [simplify]: Extracting #4: cost 8 inf + 3 67.032 * * [simplify]: Extracting #5: cost 4 inf + 169 67.032 * * [simplify]: Extracting #6: cost 1 inf + 576 67.032 * * [simplify]: Extracting #7: cost 0 inf + 739 67.032 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 67.032 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 67.032 * * * * [progress]: [ 16 / 315 ] simplifiying candidate # 67.032 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 67.032 * * [simplify]: iters left: 5 (7 enodes) 67.038 * * [simplify]: iters left: 4 (25 enodes) 67.042 * * [simplify]: iters left: 3 (30 enodes) 67.047 * * [simplify]: Extracting #0: cost 1 inf + 0 67.047 * * [simplify]: Extracting #1: cost 4 inf + 0 67.047 * * [simplify]: Extracting #2: cost 8 inf + 0 67.047 * * [simplify]: Extracting #3: cost 10 inf + 82 67.047 * * [simplify]: Extracting #4: cost 7 inf + 206 67.047 * * [simplify]: Extracting #5: cost 2 inf + 495 67.047 * * [simplify]: Extracting #6: cost 1 inf + 698 67.048 * * [simplify]: Extracting #7: cost 0 inf + 901 67.048 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 67.048 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 67.048 * * * * [progress]: [ 17 / 315 ] simplifiying candidate # 67.048 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 67.048 * * [simplify]: iters left: 5 (7 enodes) 67.050 * * [simplify]: iters left: 4 (25 enodes) 67.055 * * [simplify]: iters left: 3 (30 enodes) 67.059 * * [simplify]: Extracting #0: cost 1 inf + 0 67.060 * * [simplify]: Extracting #1: cost 4 inf + 0 67.060 * * [simplify]: Extracting #2: cost 8 inf + 0 67.060 * * [simplify]: Extracting #3: cost 10 inf + 42 67.060 * * [simplify]: Extracting #4: cost 7 inf + 126 67.060 * * [simplify]: Extracting #5: cost 2 inf + 415 67.060 * * [simplify]: Extracting #6: cost 1 inf + 578 67.060 * * [simplify]: Extracting #7: cost 0 inf + 741 67.060 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 67.060 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 67.060 * * * * [progress]: [ 18 / 315 ] simplifiying candidate # 67.061 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 67.061 * * [simplify]: iters left: 5 (6 enodes) 67.062 * * [simplify]: iters left: 4 (22 enodes) 67.066 * * [simplify]: iters left: 3 (27 enodes) 67.070 * * [simplify]: Extracting #0: cost 1 inf + 0 67.070 * * [simplify]: Extracting #1: cost 4 inf + 0 67.070 * * [simplify]: Extracting #2: cost 5 inf + 1 67.070 * * [simplify]: Extracting #3: cost 9 inf + 1 67.070 * * [simplify]: Extracting #4: cost 8 inf + 3 67.070 * * [simplify]: Extracting #5: cost 4 inf + 169 67.070 * * [simplify]: Extracting #6: cost 1 inf + 456 67.070 * * [simplify]: Extracting #7: cost 0 inf + 579 67.071 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 67.071 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 67.071 * * * * [progress]: [ 19 / 315 ] simplifiying candidate # 67.071 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 67.071 * * [simplify]: iters left: 4 (6 enodes) 67.073 * * [simplify]: iters left: 3 (25 enodes) 67.078 * * [simplify]: iters left: 2 (36 enodes) 67.083 * * [simplify]: iters left: 1 (40 enodes) 67.089 * * [simplify]: Extracting #0: cost 1 inf + 0 67.089 * * [simplify]: Extracting #1: cost 7 inf + 0 67.089 * * [simplify]: Extracting #2: cost 16 inf + 0 67.089 * * [simplify]: Extracting #3: cost 13 inf + 44 67.089 * * [simplify]: Extracting #4: cost 3 inf + 1103 67.090 * * [simplify]: Extracting #5: cost 0 inf + 1469 67.090 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 67.090 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 67.090 * * * * [progress]: [ 20 / 315 ] simplifiying candidate # 67.090 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 67.091 * * [simplify]: iters left: 4 (6 enodes) 67.095 * * [simplify]: iters left: 3 (25 enodes) 67.101 * * [simplify]: iters left: 2 (36 enodes) 67.107 * * [simplify]: iters left: 1 (40 enodes) 67.132 * * [simplify]: Extracting #0: cost 1 inf + 0 67.132 * * [simplify]: Extracting #1: cost 7 inf + 0 67.132 * * [simplify]: Extracting #2: cost 16 inf + 0 67.132 * * [simplify]: Extracting #3: cost 13 inf + 44 67.132 * * [simplify]: Extracting #4: cost 3 inf + 823 67.133 * * [simplify]: Extracting #5: cost 0 inf + 1069 67.133 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 67.133 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 67.133 * * * * [progress]: [ 21 / 315 ] simplifiying candidate # 67.133 * [simplify]: Simplifying (/ (- 1 k) 2) 67.133 * * [simplify]: iters left: 4 (5 enodes) 67.136 * * [simplify]: iters left: 3 (23 enodes) 67.142 * * [simplify]: iters left: 2 (32 enodes) 67.148 * * [simplify]: Extracting #0: cost 1 inf + 0 67.148 * * [simplify]: Extracting #1: cost 6 inf + 0 67.148 * * [simplify]: Extracting #2: cost 9 inf + 2 67.148 * * [simplify]: Extracting #3: cost 6 inf + 87 67.148 * * [simplify]: Extracting #4: cost 0 inf + 420 67.148 * [simplify]: Simplified to (/ (- 1 k) 2) 67.148 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 67.148 * * * * [progress]: [ 22 / 315 ] simplifiying candidate # 67.148 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 67.148 * * [simplify]: iters left: 5 (8 enodes) 67.151 * * [simplify]: iters left: 4 (31 enodes) 67.156 * * [simplify]: iters left: 3 (45 enodes) 67.163 * * [simplify]: iters left: 2 (51 enodes) 67.170 * * [simplify]: iters left: 1 (52 enodes) 67.178 * * [simplify]: Extracting #0: cost 1 inf + 0 67.178 * * [simplify]: Extracting #1: cost 8 inf + 0 67.178 * * [simplify]: Extracting #2: cost 18 inf + 0 67.178 * * [simplify]: Extracting #3: cost 19 inf + 2 67.178 * * [simplify]: Extracting #4: cost 9 inf + 977 67.178 * * [simplify]: Extracting #5: cost 2 inf + 1790 67.179 * * [simplify]: Extracting #6: cost 0 inf + 2195 67.180 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 67.180 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 67.180 * * * * [progress]: [ 23 / 315 ] simplifiying candidate # 67.180 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 67.180 * * [simplify]: iters left: 5 (8 enodes) 67.184 * * [simplify]: iters left: 4 (31 enodes) 67.189 * * [simplify]: iters left: 3 (45 enodes) 67.196 * * [simplify]: iters left: 2 (51 enodes) 67.204 * * [simplify]: iters left: 1 (52 enodes) 67.210 * * [simplify]: Extracting #0: cost 1 inf + 0 67.210 * * [simplify]: Extracting #1: cost 8 inf + 0 67.210 * * [simplify]: Extracting #2: cost 18 inf + 0 67.211 * * [simplify]: Extracting #3: cost 19 inf + 2 67.211 * * [simplify]: Extracting #4: cost 9 inf + 697 67.211 * * [simplify]: Extracting #5: cost 2 inf + 1390 67.211 * * [simplify]: Extracting #6: cost 0 inf + 1715 67.212 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 67.212 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 67.212 * * * * [progress]: [ 24 / 315 ] simplifiying candidate # 67.212 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 67.212 * * [simplify]: iters left: 5 (7 enodes) 67.215 * * [simplify]: iters left: 4 (29 enodes) 67.225 * * [simplify]: iters left: 3 (43 enodes) 67.239 * * [simplify]: iters left: 2 (47 enodes) 67.251 * * [simplify]: Extracting #0: cost 1 inf + 0 67.251 * * [simplify]: Extracting #1: cost 7 inf + 0 67.251 * * [simplify]: Extracting #2: cost 11 inf + 2 67.251 * * [simplify]: Extracting #3: cost 13 inf + 3 67.251 * * [simplify]: Extracting #4: cost 11 inf + 45 67.252 * * [simplify]: Extracting #5: cost 0 inf + 1066 67.252 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 67.252 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 67.252 * * * * [progress]: [ 25 / 315 ] simplifiying candidate # 67.253 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 67.253 * * [simplify]: iters left: 5 (7 enodes) 67.257 * * [simplify]: iters left: 4 (28 enodes) 67.266 * * [simplify]: iters left: 3 (39 enodes) 67.278 * * [simplify]: iters left: 2 (43 enodes) 67.290 * * [simplify]: Extracting #0: cost 1 inf + 0 67.290 * * [simplify]: Extracting #1: cost 7 inf + 0 67.291 * * [simplify]: Extracting #2: cost 16 inf + 0 67.291 * * [simplify]: Extracting #3: cost 15 inf + 164 67.291 * * [simplify]: Extracting #4: cost 13 inf + 287 67.291 * * [simplify]: Extracting #5: cost 5 inf + 1180 67.292 * * [simplify]: Extracting #6: cost 0 inf + 1951 67.292 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 67.292 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 67.292 * * * * [progress]: [ 26 / 315 ] simplifiying candidate # 67.293 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 67.293 * * [simplify]: iters left: 5 (7 enodes) 67.298 * * [simplify]: iters left: 4 (28 enodes) 67.308 * * [simplify]: iters left: 3 (39 enodes) 67.320 * * [simplify]: iters left: 2 (43 enodes) 67.333 * * [simplify]: Extracting #0: cost 1 inf + 0 67.333 * * [simplify]: Extracting #1: cost 7 inf + 0 67.333 * * [simplify]: Extracting #2: cost 16 inf + 0 67.333 * * [simplify]: Extracting #3: cost 15 inf + 84 67.334 * * [simplify]: Extracting #4: cost 13 inf + 167 67.334 * * [simplify]: Extracting #5: cost 5 inf + 900 67.334 * * [simplify]: Extracting #6: cost 0 inf + 1551 67.335 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 67.335 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 67.335 * * * * [progress]: [ 27 / 315 ] simplifiying candidate # 67.335 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 67.336 * * [simplify]: iters left: 5 (6 enodes) 67.340 * * [simplify]: iters left: 4 (26 enodes) 67.349 * * [simplify]: iters left: 3 (35 enodes) 67.359 * * [simplify]: Extracting #0: cost 1 inf + 0 67.359 * * [simplify]: Extracting #1: cost 6 inf + 0 67.359 * * [simplify]: Extracting #2: cost 9 inf + 2 67.359 * * [simplify]: Extracting #3: cost 11 inf + 3 67.360 * * [simplify]: Extracting #4: cost 10 inf + 4 67.360 * * [simplify]: Extracting #5: cost 3 inf + 535 67.360 * * [simplify]: Extracting #6: cost 0 inf + 822 67.360 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 67.360 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 67.361 * * * * [progress]: [ 28 / 315 ] simplifiying candidate # 67.361 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 67.361 * * [simplify]: iters left: 4 (6 enodes) 67.365 * * [simplify]: iters left: 3 (25 enodes) 67.374 * * [simplify]: iters left: 2 (36 enodes) 67.385 * * [simplify]: iters left: 1 (40 enodes) 67.401 * * [simplify]: Extracting #0: cost 1 inf + 0 67.401 * * [simplify]: Extracting #1: cost 7 inf + 0 67.401 * * [simplify]: Extracting #2: cost 16 inf + 0 67.401 * * [simplify]: Extracting #3: cost 13 inf + 44 67.402 * * [simplify]: Extracting #4: cost 3 inf + 1103 67.402 * * [simplify]: Extracting #5: cost 0 inf + 1469 67.403 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 67.403 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 67.403 * * * * [progress]: [ 29 / 315 ] simplifiying candidate # 67.403 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 67.403 * * [simplify]: iters left: 4 (6 enodes) 67.407 * * [simplify]: iters left: 3 (25 enodes) 67.416 * * [simplify]: iters left: 2 (36 enodes) 67.427 * * [simplify]: iters left: 1 (40 enodes) 67.438 * * [simplify]: Extracting #0: cost 1 inf + 0 67.438 * * [simplify]: Extracting #1: cost 7 inf + 0 67.438 * * [simplify]: Extracting #2: cost 16 inf + 0 67.438 * * [simplify]: Extracting #3: cost 13 inf + 44 67.438 * * [simplify]: Extracting #4: cost 3 inf + 823 67.439 * * [simplify]: Extracting #5: cost 0 inf + 1069 67.439 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 67.439 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 67.440 * * * * [progress]: [ 30 / 315 ] simplifiying candidate # 67.440 * [simplify]: Simplifying (/ (- 1 k) 2) 67.440 * * [simplify]: iters left: 4 (5 enodes) 67.444 * * [simplify]: iters left: 3 (23 enodes) 67.451 * * [simplify]: iters left: 2 (32 enodes) 67.460 * * [simplify]: Extracting #0: cost 1 inf + 0 67.460 * * [simplify]: Extracting #1: cost 6 inf + 0 67.460 * * [simplify]: Extracting #2: cost 9 inf + 2 67.460 * * [simplify]: Extracting #3: cost 6 inf + 87 67.460 * * [simplify]: Extracting #4: cost 0 inf + 420 67.460 * [simplify]: Simplified to (/ (- 1 k) 2) 67.460 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 67.461 * * * * [progress]: [ 31 / 315 ] simplifiying candidate # 67.461 * [simplify]: Simplifying (/ (- 1 k) 2) 67.461 * * [simplify]: iters left: 4 (5 enodes) 67.464 * * [simplify]: iters left: 3 (23 enodes) 67.472 * * [simplify]: iters left: 2 (32 enodes) 67.481 * * [simplify]: Extracting #0: cost 1 inf + 0 67.481 * * [simplify]: Extracting #1: cost 6 inf + 0 67.481 * * [simplify]: Extracting #2: cost 9 inf + 2 67.481 * * [simplify]: Extracting #3: cost 6 inf + 87 67.481 * * [simplify]: Extracting #4: cost 0 inf + 420 67.481 * [simplify]: Simplified to (/ (- 1 k) 2) 67.481 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))) 67.482 * * * * [progress]: [ 32 / 315 ] simplifiying candidate # 67.482 * [simplify]: Simplifying (/ 1 2) 67.482 * * [simplify]: iters left: 2 (3 enodes) 67.485 * * [simplify]: iters left: 1 (12 enodes) 67.489 * * [simplify]: Extracting #0: cost 1 inf + 0 67.489 * * [simplify]: Extracting #1: cost 0 inf + 1 67.489 * [simplify]: Simplified to 1/2 67.489 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)))) 67.489 * * * * [progress]: [ 33 / 315 ] simplifiying candidate # 67.489 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 67.489 * * [simplify]: iters left: 5 (7 enodes) 67.493 * * [simplify]: iters left: 4 (32 enodes) 67.505 * * [simplify]: iters left: 3 (57 enodes) 67.521 * * [simplify]: iters left: 2 (88 enodes) 67.557 * * [simplify]: iters left: 1 (156 enodes) 67.609 * * [simplify]: Extracting #0: cost 1 inf + 0 67.609 * * [simplify]: Extracting #1: cost 13 inf + 0 67.609 * * [simplify]: Extracting #2: cost 49 inf + 2 67.609 * * [simplify]: Extracting #3: cost 80 inf + 6 67.610 * * [simplify]: Extracting #4: cost 58 inf + 1840 67.612 * * [simplify]: Extracting #5: cost 22 inf + 9206 67.614 * * [simplify]: Extracting #6: cost 1 inf + 20886 67.617 * * [simplify]: Extracting #7: cost 0 inf + 21301 67.620 * * [simplify]: Extracting #8: cost 0 inf + 21130 67.623 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 67.624 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 67.624 * * * * [progress]: [ 34 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 35 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 36 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 37 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 38 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 39 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 40 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 41 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 42 / 315 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 67.624 * * * * [progress]: [ 43 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 44 / 315 ] simplifiying candidate # 67.624 * * * * [progress]: [ 45 / 315 ] simplifiying candidate # 67.624 * [simplify]: Simplifying (* n (* 2 PI)) 67.624 * * [simplify]: iters left: 4 (5 enodes) 67.626 * * [simplify]: iters left: 3 (19 enodes) 67.629 * * [simplify]: iters left: 2 (27 enodes) 67.633 * * [simplify]: iters left: 1 (32 enodes) 67.637 * * [simplify]: Extracting #0: cost 1 inf + 0 67.637 * * [simplify]: Extracting #1: cost 8 inf + 0 67.637 * * [simplify]: Extracting #2: cost 7 inf + 45 67.638 * * [simplify]: Extracting #3: cost 0 inf + 421 67.638 * [simplify]: Simplified to (* (* PI 2) n) 67.638 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 67.638 * * * * [progress]: [ 46 / 315 ] simplifiying candidate # 67.638 * [simplify]: Simplifying (* n (* 2 PI)) 67.638 * * [simplify]: iters left: 4 (5 enodes) 67.639 * * [simplify]: iters left: 3 (19 enodes) 67.642 * * [simplify]: iters left: 2 (27 enodes) 67.650 * * [simplify]: iters left: 1 (32 enodes) 67.654 * * [simplify]: Extracting #0: cost 1 inf + 0 67.654 * * [simplify]: Extracting #1: cost 8 inf + 0 67.654 * * [simplify]: Extracting #2: cost 7 inf + 45 67.654 * * [simplify]: Extracting #3: cost 0 inf + 421 67.654 * [simplify]: Simplified to (* (* PI 2) n) 67.654 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 67.655 * * * * [progress]: [ 47 / 315 ] simplifiying candidate # 67.655 * * * * [progress]: [ 48 / 315 ] simplifiying candidate # 67.655 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 67.655 * * [simplify]: iters left: 5 (8 enodes) 67.660 * * [simplify]: iters left: 4 (28 enodes) 67.668 * * [simplify]: iters left: 3 (36 enodes) 67.678 * * [simplify]: iters left: 2 (42 enodes) 67.687 * * [simplify]: Extracting #0: cost 1 inf + 0 67.687 * * [simplify]: Extracting #1: cost 8 inf + 0 67.687 * * [simplify]: Extracting #2: cost 17 inf + 0 67.687 * * [simplify]: Extracting #3: cost 12 inf + 145 67.687 * * [simplify]: Extracting #4: cost 5 inf + 1197 67.688 * * [simplify]: Extracting #5: cost 1 inf + 1925 67.688 * * [simplify]: Extracting #6: cost 0 inf + 2107 67.688 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 67.688 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))))) 67.688 * * * * [progress]: [ 49 / 315 ] simplifiying candidate # 67.689 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 67.689 * * [simplify]: iters left: 5 (7 enodes) 67.691 * * [simplify]: iters left: 4 (26 enodes) 67.695 * * [simplify]: iters left: 3 (35 enodes) 67.700 * * [simplify]: iters left: 2 (44 enodes) 67.706 * * [simplify]: Extracting #0: cost 1 inf + 0 67.706 * * [simplify]: Extracting #1: cost 8 inf + 0 67.706 * * [simplify]: Extracting #2: cost 18 inf + 0 67.706 * * [simplify]: Extracting #3: cost 15 inf + 74 67.706 * * [simplify]: Extracting #4: cost 8 inf + 554 67.707 * * [simplify]: Extracting #5: cost 0 inf + 1911 67.707 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 67.707 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 67.707 * * * * [progress]: [ 50 / 315 ] simplifiying candidate # 67.707 * * * * [progress]: [ 51 / 315 ] simplifiying candidate # 67.707 * * * * [progress]: [ 52 / 315 ] simplifiying candidate # 67.707 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 67.707 * * [simplify]: iters left: 6 (11 enodes) 67.712 * * [simplify]: iters left: 5 (48 enodes) 67.728 * * [simplify]: iters left: 4 (121 enodes) 67.779 * * [simplify]: iters left: 3 (348 enodes) 67.977 * * [simplify]: Extracting #0: cost 1 inf + 0 67.977 * * [simplify]: Extracting #1: cost 67 inf + 0 67.978 * * [simplify]: Extracting #2: cost 165 inf + 786 67.981 * * [simplify]: Extracting #3: cost 85 inf + 10177 67.992 * * [simplify]: Extracting #4: cost 9 inf + 26399 68.001 * * [simplify]: Extracting #5: cost 0 inf + 28546 68.008 * * [simplify]: Extracting #6: cost 0 inf + 28506 68.014 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 68.014 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2))))) 68.014 * * * * [progress]: [ 53 / 315 ] simplifiying candidate # 68.015 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 68.015 * * [simplify]: iters left: 6 (9 enodes) 68.018 * * [simplify]: iters left: 5 (45 enodes) 68.036 * * [simplify]: iters left: 4 (117 enodes) 68.103 * * [simplify]: iters left: 3 (374 enodes) 68.409 * * [simplify]: Extracting #0: cost 1 inf + 0 68.410 * * [simplify]: Extracting #1: cost 77 inf + 0 68.412 * * [simplify]: Extracting #2: cost 184 inf + 984 68.424 * * [simplify]: Extracting #3: cost 106 inf + 11690 68.442 * * [simplify]: Extracting #4: cost 6 inf + 30376 68.459 * * [simplify]: Extracting #5: cost 0 inf + 31644 68.477 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 68.477 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2))))) 68.477 * * * * [progress]: [ 54 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 55 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 56 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 57 / 315 ] simplifiying candidate # 68.478 * * * * [progress]: [ 58 / 315 ] simplifiying candidate # 68.478 * * * * [progress]: [ 59 / 315 ] simplifiying candidate # 68.478 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 68.478 * * [simplify]: iters left: 3 (3 enodes) 68.479 * * [simplify]: iters left: 2 (9 enodes) 68.480 * * [simplify]: Extracting #0: cost 1 inf + 0 68.480 * * [simplify]: Extracting #1: cost 3 inf + 0 68.480 * * [simplify]: Extracting #2: cost 5 inf + 0 68.480 * * [simplify]: Extracting #3: cost 4 inf + 1 68.480 * * [simplify]: Extracting #4: cost 0 inf + 405 68.480 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 68.480 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))) 68.480 * * * * [progress]: [ 60 / 315 ] simplifiying candidate # 68.480 * [simplify]: Simplifying (sqrt n) 68.480 * * [simplify]: iters left: 1 (2 enodes) 68.481 * * [simplify]: Extracting #0: cost 1 inf + 0 68.481 * * [simplify]: Extracting #1: cost 3 inf + 0 68.481 * * [simplify]: Extracting #2: cost 2 inf + 1 68.481 * * [simplify]: Extracting #3: cost 0 inf + 83 68.481 * [simplify]: Simplified to (sqrt n) 68.481 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 68.481 * * * * [progress]: [ 61 / 315 ] simplifiying candidate # 68.481 * * * * [progress]: [ 62 / 315 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 68.481 * * * * [progress]: [ 63 / 315 ] simplifiying candidate # 68.481 * * * * [progress]: [ 64 / 315 ] simplifiying candidate # 68.481 * * * * [progress]: [ 65 / 315 ] simplifiying candidate # 68.481 * * * * [progress]: [ 66 / 315 ] simplifiying candidate # 68.481 * * * * [progress]: [ 67 / 315 ] simplifiying candidate # 68.481 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 68.481 * * [simplify]: iters left: 6 (16 enodes) 68.486 * * [simplify]: iters left: 5 (65 enodes) 68.497 * * [simplify]: iters left: 4 (119 enodes) 68.537 * * [simplify]: iters left: 3 (367 enodes) 68.736 * * [simplify]: Extracting #0: cost 1 inf + 0 68.736 * * [simplify]: Extracting #1: cost 33 inf + 0 68.737 * * [simplify]: Extracting #2: cost 134 inf + 0 68.738 * * [simplify]: Extracting #3: cost 216 inf + 75 68.742 * * [simplify]: Extracting #4: cost 207 inf + 9446 68.759 * * [simplify]: Extracting #5: cost 46 inf + 51853 68.773 * * [simplify]: Extracting #6: cost 0 inf + 67072 68.790 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))) 68.790 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))))) 68.791 * * * * [progress]: [ 68 / 315 ] simplifiying candidate # 68.791 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 68.791 * * [simplify]: iters left: 6 (15 enodes) 68.800 * * [simplify]: iters left: 5 (63 enodes) 68.820 * * [simplify]: iters left: 4 (112 enodes) 68.864 * * [simplify]: iters left: 3 (297 enodes) 69.336 * * [simplify]: Extracting #0: cost 1 inf + 0 69.336 * * [simplify]: Extracting #1: cost 29 inf + 0 69.336 * * [simplify]: Extracting #2: cost 115 inf + 0 69.338 * * [simplify]: Extracting #3: cost 195 inf + 4 69.340 * * [simplify]: Extracting #4: cost 198 inf + 5541 69.353 * * [simplify]: Extracting #5: cost 53 inf + 37427 69.375 * * [simplify]: Extracting #6: cost 0 inf + 52902 69.397 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 69.397 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))) 69.397 * * * * [progress]: [ 69 / 315 ] simplifiying candidate # 69.397 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 69.397 * * [simplify]: iters left: 6 (14 enodes) 69.405 * * [simplify]: iters left: 5 (62 enodes) 69.426 * * [simplify]: iters left: 4 (119 enodes) 69.472 * * [simplify]: iters left: 3 (277 enodes) 69.577 * * [simplify]: Extracting #0: cost 1 inf + 0 69.577 * * [simplify]: Extracting #1: cost 19 inf + 0 69.577 * * [simplify]: Extracting #2: cost 104 inf + 0 69.578 * * [simplify]: Extracting #3: cost 181 inf + 4 69.581 * * [simplify]: Extracting #4: cost 178 inf + 4950 69.591 * * [simplify]: Extracting #5: cost 58 inf + 26743 69.606 * * [simplify]: Extracting #6: cost 3 inf + 41201 69.615 * * [simplify]: Extracting #7: cost 0 inf + 42173 69.624 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 69.624 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 69.625 * * * * [progress]: [ 70 / 315 ] simplifiying candidate # 69.625 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 69.625 * * [simplify]: iters left: 6 (14 enodes) 69.629 * * [simplify]: iters left: 5 (62 enodes) 69.650 * * [simplify]: iters left: 4 (119 enodes) 69.673 * * [simplify]: iters left: 3 (277 enodes) 69.799 * * [simplify]: Extracting #0: cost 1 inf + 0 69.800 * * [simplify]: Extracting #1: cost 19 inf + 0 69.800 * * [simplify]: Extracting #2: cost 104 inf + 0 69.801 * * [simplify]: Extracting #3: cost 181 inf + 4 69.802 * * [simplify]: Extracting #4: cost 178 inf + 4950 69.809 * * [simplify]: Extracting #5: cost 58 inf + 26743 69.827 * * [simplify]: Extracting #6: cost 3 inf + 41201 69.846 * * [simplify]: Extracting #7: cost 0 inf + 42173 69.868 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 69.868 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 69.868 * * * * [progress]: [ 71 / 315 ] simplifiying candidate # 69.869 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 69.869 * * [simplify]: iters left: 6 (14 enodes) 69.877 * * [simplify]: iters left: 5 (61 enodes) 69.897 * * [simplify]: iters left: 4 (111 enodes) 69.936 * * [simplify]: iters left: 3 (251 enodes) 70.035 * * [simplify]: Extracting #0: cost 1 inf + 0 70.035 * * [simplify]: Extracting #1: cost 23 inf + 0 70.035 * * [simplify]: Extracting #2: cost 133 inf + 0 70.037 * * [simplify]: Extracting #3: cost 208 inf + 185 70.039 * * [simplify]: Extracting #4: cost 218 inf + 3301 70.049 * * [simplify]: Extracting #5: cost 69 inf + 33539 70.067 * * [simplify]: Extracting #6: cost 2 inf + 51949 70.086 * * [simplify]: Extracting #7: cost 0 inf + 53204 70.110 * * [simplify]: Extracting #8: cost 0 inf + 52964 70.129 * * [simplify]: Extracting #9: cost 0 inf + 52884 70.148 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2)) 70.148 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2))))) 70.148 * * * * [progress]: [ 72 / 315 ] simplifiying candidate # 70.148 * * * * [progress]: [ 73 / 315 ] simplifiying candidate # 70.148 * * * * [progress]: [ 74 / 315 ] simplifiying candidate # 70.149 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 70.149 * * [simplify]: iters left: 6 (16 enodes) 70.158 * * [simplify]: iters left: 5 (72 enodes) 70.184 * * [simplify]: iters left: 4 (163 enodes) 70.265 * * [simplify]: iters left: 3 (439 enodes) 70.515 * * [simplify]: Extracting #0: cost 1 inf + 0 70.515 * * [simplify]: Extracting #1: cost 116 inf + 0 70.516 * * [simplify]: Extracting #2: cost 336 inf + 123 70.517 * * [simplify]: Extracting #3: cost 402 inf + 248 70.523 * * [simplify]: Extracting #4: cost 369 inf + 9396 70.538 * * [simplify]: Extracting #5: cost 192 inf + 115836 70.610 * * [simplify]: Extracting #6: cost 10 inf + 248697 70.692 * * [simplify]: Extracting #7: cost 0 inf + 254113 70.740 * * [simplify]: Extracting #8: cost 0 inf + 254073 70.795 * [simplify]: Simplified to (* (sqrt k) (/ (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 70.795 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (sqrt k) (/ (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 70.795 * * * * [progress]: [ 75 / 315 ] simplifiying candidate # 70.795 * * * * [progress]: [ 76 / 315 ] simplifiying candidate # 70.795 * * * * [progress]: [ 77 / 315 ] simplifiying candidate # 70.795 * * * * [progress]: [ 78 / 315 ] simplifiying candidate # 70.795 * * * * [progress]: [ 79 / 315 ] simplifiying candidate # 70.796 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 70.796 * * [simplify]: iters left: 6 (11 enodes) 70.799 * * [simplify]: iters left: 5 (46 enodes) 70.809 * * [simplify]: iters left: 4 (76 enodes) 70.835 * * [simplify]: iters left: 3 (136 enodes) 70.889 * * [simplify]: iters left: 2 (291 enodes) 70.993 * * [simplify]: Extracting #0: cost 1 inf + 0 70.993 * * [simplify]: Extracting #1: cost 43 inf + 0 70.994 * * [simplify]: Extracting #2: cost 140 inf + 0 70.995 * * [simplify]: Extracting #3: cost 198 inf + 3 70.997 * * [simplify]: Extracting #4: cost 178 inf + 3230 71.001 * * [simplify]: Extracting #5: cost 128 inf + 15281 71.014 * * [simplify]: Extracting #6: cost 58 inf + 56806 71.038 * * [simplify]: Extracting #7: cost 1 inf + 101840 71.066 * * [simplify]: Extracting #8: cost 0 inf + 101613 71.090 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 71.091 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 71.091 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 71.091 * * [simplify]: iters left: 6 (11 enodes) 71.096 * * [simplify]: iters left: 5 (45 enodes) 71.104 * * [simplify]: iters left: 4 (68 enodes) 71.116 * * [simplify]: iters left: 3 (108 enodes) 71.145 * * [simplify]: iters left: 2 (205 enodes) 71.201 * * [simplify]: iters left: 1 (386 enodes) 71.330 * * [simplify]: Extracting #0: cost 1 inf + 0 71.330 * * [simplify]: Extracting #1: cost 6 inf + 0 71.330 * * [simplify]: Extracting #2: cost 36 inf + 0 71.331 * * [simplify]: Extracting #3: cost 122 inf + 1 71.332 * * [simplify]: Extracting #4: cost 156 inf + 1084 71.338 * * [simplify]: Extracting #5: cost 92 inf + 19572 71.352 * * [simplify]: Extracting #6: cost 25 inf + 52933 71.363 * * [simplify]: Extracting #7: cost 0 inf + 71185 71.373 * * [simplify]: Extracting #8: cost 0 inf + 70923 71.393 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 71.393 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 71.394 * * * * [progress]: [ 80 / 315 ] simplifiying candidate # 71.394 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 71.394 * * [simplify]: iters left: 6 (16 enodes) 71.403 * * [simplify]: iters left: 5 (69 enodes) 71.427 * * [simplify]: iters left: 4 (113 enodes) 71.451 * * [simplify]: iters left: 3 (161 enodes) 71.493 * * [simplify]: iters left: 2 (255 enodes) 71.564 * * [simplify]: iters left: 1 (424 enodes) 71.728 * * [simplify]: Extracting #0: cost 1 inf + 0 71.728 * * [simplify]: Extracting #1: cost 11 inf + 0 71.728 * * [simplify]: Extracting #2: cost 22 inf + 0 71.728 * * [simplify]: Extracting #3: cost 46 inf + 0 71.729 * * [simplify]: Extracting #4: cost 120 inf + 43 71.730 * * [simplify]: Extracting #5: cost 164 inf + 660 71.732 * * [simplify]: Extracting #6: cost 127 inf + 4224 71.739 * * [simplify]: Extracting #7: cost 64 inf + 21188 71.756 * * [simplify]: Extracting #8: cost 11 inf + 59283 71.777 * * [simplify]: Extracting #9: cost 0 inf + 69467 71.800 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 71.800 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 71.800 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 71.800 * * [simplify]: iters left: 6 (14 enodes) 71.804 * * [simplify]: iters left: 5 (57 enodes) 71.814 * * [simplify]: iters left: 4 (90 enodes) 71.827 * * [simplify]: iters left: 3 (126 enodes) 71.861 * * [simplify]: iters left: 2 (194 enodes) 71.902 * * [simplify]: iters left: 1 (356 enodes) 72.068 * * [simplify]: Extracting #0: cost 1 inf + 0 72.068 * * [simplify]: Extracting #1: cost 4 inf + 0 72.068 * * [simplify]: Extracting #2: cost 8 inf + 0 72.068 * * [simplify]: Extracting #3: cost 34 inf + 0 72.068 * * [simplify]: Extracting #4: cost 118 inf + 43 72.069 * * [simplify]: Extracting #5: cost 153 inf + 422 72.070 * * [simplify]: Extracting #6: cost 108 inf + 6596 72.074 * * [simplify]: Extracting #7: cost 62 inf + 18565 72.085 * * [simplify]: Extracting #8: cost 23 inf + 48640 72.107 * * [simplify]: Extracting #9: cost 0 inf + 68118 72.127 * * [simplify]: Extracting #10: cost 0 inf + 67780 72.146 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 72.146 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 72.147 * * * * [progress]: [ 81 / 315 ] simplifiying candidate # 72.147 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 72.147 * * [simplify]: iters left: 6 (15 enodes) 72.153 * * [simplify]: iters left: 5 (62 enodes) 72.163 * * [simplify]: iters left: 4 (96 enodes) 72.182 * * [simplify]: iters left: 3 (140 enodes) 72.234 * * [simplify]: iters left: 2 (228 enodes) 72.290 * * [simplify]: iters left: 1 (385 enodes) 72.439 * * [simplify]: Extracting #0: cost 1 inf + 0 72.440 * * [simplify]: Extracting #1: cost 7 inf + 0 72.440 * * [simplify]: Extracting #2: cost 15 inf + 0 72.440 * * [simplify]: Extracting #3: cost 44 inf + 0 72.440 * * [simplify]: Extracting #4: cost 116 inf + 84 72.441 * * [simplify]: Extracting #5: cost 160 inf + 585 72.443 * * [simplify]: Extracting #6: cost 105 inf + 9265 72.449 * * [simplify]: Extracting #7: cost 19 inf + 47762 72.459 * * [simplify]: Extracting #8: cost 0 inf + 60811 72.469 * * [simplify]: Extracting #9: cost 0 inf + 59236 72.484 * * [simplify]: Extracting #10: cost 0 inf + 59073 72.498 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 72.498 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 72.499 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 72.499 * * [simplify]: iters left: 6 (14 enodes) 72.507 * * [simplify]: iters left: 5 (57 enodes) 72.525 * * [simplify]: iters left: 4 (91 enodes) 72.555 * * [simplify]: iters left: 3 (127 enodes) 72.595 * * [simplify]: iters left: 2 (195 enodes) 72.667 * * [simplify]: iters left: 1 (361 enodes) 72.817 * * [simplify]: Extracting #0: cost 1 inf + 0 72.817 * * [simplify]: Extracting #1: cost 4 inf + 0 72.817 * * [simplify]: Extracting #2: cost 9 inf + 0 72.817 * * [simplify]: Extracting #3: cost 37 inf + 0 72.817 * * [simplify]: Extracting #4: cost 126 inf + 43 72.818 * * [simplify]: Extracting #5: cost 159 inf + 465 72.820 * * [simplify]: Extracting #6: cost 108 inf + 7630 72.825 * * [simplify]: Extracting #7: cost 48 inf + 28780 72.835 * * [simplify]: Extracting #8: cost 5 inf + 65583 72.853 * * [simplify]: Extracting #9: cost 0 inf + 66579 72.875 * * [simplify]: Extracting #10: cost 0 inf + 65928 72.899 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 72.899 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 72.899 * * * * [progress]: [ 82 / 315 ] simplifiying candidate # 72.899 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 72.899 * * [simplify]: iters left: 6 (6 enodes) 72.901 * * [simplify]: iters left: 5 (20 enodes) 72.905 * * [simplify]: iters left: 4 (30 enodes) 72.909 * * [simplify]: iters left: 3 (31 enodes) 72.913 * * [simplify]: Extracting #0: cost 1 inf + 0 72.913 * * [simplify]: Extracting #1: cost 5 inf + 0 72.913 * * [simplify]: Extracting #2: cost 7 inf + 1 72.913 * * [simplify]: Extracting #3: cost 9 inf + 1 72.913 * * [simplify]: Extracting #4: cost 8 inf + 2 72.913 * * [simplify]: Extracting #5: cost 0 inf + 972 72.913 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 72.913 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 72.914 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 72.914 * * [simplify]: iters left: 6 (13 enodes) 72.917 * * [simplify]: iters left: 5 (54 enodes) 72.926 * * [simplify]: iters left: 4 (85 enodes) 72.939 * * [simplify]: iters left: 3 (127 enodes) 72.965 * * [simplify]: iters left: 2 (219 enodes) 73.019 * * [simplify]: iters left: 1 (391 enodes) 73.167 * * [simplify]: Extracting #0: cost 1 inf + 0 73.167 * * [simplify]: Extracting #1: cost 6 inf + 0 73.167 * * [simplify]: Extracting #2: cost 38 inf + 0 73.168 * * [simplify]: Extracting #3: cost 124 inf + 1 73.168 * * [simplify]: Extracting #4: cost 161 inf + 627 73.169 * * [simplify]: Extracting #5: cost 125 inf + 3411 73.174 * * [simplify]: Extracting #6: cost 63 inf + 27050 73.192 * * [simplify]: Extracting #7: cost 12 inf + 63415 73.213 * * [simplify]: Extracting #8: cost 0 inf + 72844 73.234 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 73.234 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 73.234 * * * * [progress]: [ 83 / 315 ] simplifiying candidate # 73.234 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 73.234 * * [simplify]: iters left: 6 (15 enodes) 73.243 * * [simplify]: iters left: 5 (65 enodes) 73.260 * * [simplify]: iters left: 4 (107 enodes) 73.277 * * [simplify]: iters left: 3 (179 enodes) 73.331 * * [simplify]: iters left: 2 (347 enodes) 73.486 * * [simplify]: Extracting #0: cost 1 inf + 0 73.486 * * [simplify]: Extracting #1: cost 45 inf + 0 73.487 * * [simplify]: Extracting #2: cost 139 inf + 0 73.488 * * [simplify]: Extracting #3: cost 207 inf + 2 73.491 * * [simplify]: Extracting #4: cost 181 inf + 6532 73.500 * * [simplify]: Extracting #5: cost 109 inf + 33173 73.528 * * [simplify]: Extracting #6: cost 9 inf + 107364 73.551 * * [simplify]: Extracting #7: cost 0 inf + 114103 73.568 * * [simplify]: Extracting #8: cost 0 inf + 113771 73.586 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) 73.586 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 73.587 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 73.587 * * [simplify]: iters left: 6 (14 enodes) 73.591 * * [simplify]: iters left: 5 (60 enodes) 73.601 * * [simplify]: iters left: 4 (98 enodes) 73.617 * * [simplify]: iters left: 3 (154 enodes) 73.649 * * [simplify]: iters left: 2 (277 enodes) 73.721 * * [simplify]: Extracting #0: cost 1 inf + 0 73.721 * * [simplify]: Extracting #1: cost 6 inf + 0 73.722 * * [simplify]: Extracting #2: cost 27 inf + 0 73.722 * * [simplify]: Extracting #3: cost 96 inf + 1 73.723 * * [simplify]: Extracting #4: cost 118 inf + 383 73.725 * * [simplify]: Extracting #5: cost 69 inf + 7980 73.731 * * [simplify]: Extracting #6: cost 30 inf + 15387 73.741 * * [simplify]: Extracting #7: cost 1 inf + 34479 73.748 * * [simplify]: Extracting #8: cost 0 inf + 35436 73.753 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 73.753 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 73.754 * * * * [progress]: [ 84 / 315 ] simplifiying candidate # 73.754 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 73.754 * * [simplify]: iters left: 6 (11 enodes) 73.757 * * [simplify]: iters left: 5 (45 enodes) 73.765 * * [simplify]: iters left: 4 (72 enodes) 73.776 * * [simplify]: iters left: 3 (111 enodes) 73.811 * * [simplify]: iters left: 2 (190 enodes) 73.851 * * [simplify]: iters left: 1 (359 enodes) 73.953 * * [simplify]: Extracting #0: cost 1 inf + 0 73.953 * * [simplify]: Extracting #1: cost 6 inf + 0 73.953 * * [simplify]: Extracting #2: cost 39 inf + 0 73.954 * * [simplify]: Extracting #3: cost 121 inf + 2 73.959 * * [simplify]: Extracting #4: cost 147 inf + 660 73.962 * * [simplify]: Extracting #5: cost 104 inf + 6662 73.967 * * [simplify]: Extracting #6: cost 41 inf + 34617 73.976 * * [simplify]: Extracting #7: cost 0 inf + 65549 73.986 * * [simplify]: Extracting #8: cost 0 inf + 63832 73.998 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 73.998 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 73.998 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 73.999 * * [simplify]: iters left: 6 (11 enodes) 74.005 * * [simplify]: iters left: 5 (45 enodes) 74.013 * * [simplify]: iters left: 4 (68 enodes) 74.024 * * [simplify]: iters left: 3 (108 enodes) 74.046 * * [simplify]: iters left: 2 (205 enodes) 74.086 * * [simplify]: iters left: 1 (386 enodes) 74.183 * * [simplify]: Extracting #0: cost 1 inf + 0 74.183 * * [simplify]: Extracting #1: cost 6 inf + 0 74.183 * * [simplify]: Extracting #2: cost 36 inf + 0 74.183 * * [simplify]: Extracting #3: cost 122 inf + 1 74.184 * * [simplify]: Extracting #4: cost 156 inf + 1164 74.187 * * [simplify]: Extracting #5: cost 92 inf + 19652 74.194 * * [simplify]: Extracting #6: cost 25 inf + 53013 74.204 * * [simplify]: Extracting #7: cost 0 inf + 71265 74.218 * * [simplify]: Extracting #8: cost 0 inf + 71003 74.230 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 74.231 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 74.231 * * * * [progress]: [ 85 / 315 ] simplifiying candidate # 74.231 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 74.231 * * [simplify]: iters left: 6 (16 enodes) 74.236 * * [simplify]: iters left: 5 (66 enodes) 74.246 * * [simplify]: iters left: 4 (97 enodes) 74.264 * * [simplify]: iters left: 3 (138 enodes) 74.288 * * [simplify]: iters left: 2 (229 enodes) 74.334 * * [simplify]: iters left: 1 (395 enodes) 74.475 * * [simplify]: Extracting #0: cost 1 inf + 0 74.475 * * [simplify]: Extracting #1: cost 6 inf + 0 74.475 * * [simplify]: Extracting #2: cost 13 inf + 0 74.475 * * [simplify]: Extracting #3: cost 38 inf + 0 74.475 * * [simplify]: Extracting #4: cost 114 inf + 83 74.476 * * [simplify]: Extracting #5: cost 162 inf + 581 74.477 * * [simplify]: Extracting #6: cost 137 inf + 3110 74.479 * * [simplify]: Extracting #7: cost 81 inf + 13704 74.484 * * [simplify]: Extracting #8: cost 45 inf + 30756 74.495 * * [simplify]: Extracting #9: cost 8 inf + 59897 74.515 * * [simplify]: Extracting #10: cost 0 inf + 66411 74.533 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 74.533 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 74.533 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 74.534 * * [simplify]: iters left: 6 (14 enodes) 74.538 * * [simplify]: iters left: 5 (57 enodes) 74.547 * * [simplify]: iters left: 4 (90 enodes) 74.561 * * [simplify]: iters left: 3 (126 enodes) 74.596 * * [simplify]: iters left: 2 (194 enodes) 74.671 * * [simplify]: iters left: 1 (356 enodes) 74.788 * * [simplify]: Extracting #0: cost 1 inf + 0 74.788 * * [simplify]: Extracting #1: cost 4 inf + 0 74.788 * * [simplify]: Extracting #2: cost 8 inf + 0 74.788 * * [simplify]: Extracting #3: cost 34 inf + 0 74.788 * * [simplify]: Extracting #4: cost 118 inf + 83 74.789 * * [simplify]: Extracting #5: cost 153 inf + 502 74.791 * * [simplify]: Extracting #6: cost 108 inf + 6676 74.794 * * [simplify]: Extracting #7: cost 62 inf + 18645 74.806 * * [simplify]: Extracting #8: cost 23 inf + 48720 74.828 * * [simplify]: Extracting #9: cost 0 inf + 68198 74.847 * * [simplify]: Extracting #10: cost 0 inf + 67860 74.866 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 74.866 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 74.866 * * * * [progress]: [ 86 / 315 ] simplifiying candidate # 74.867 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 74.867 * * [simplify]: iters left: 6 (15 enodes) 74.875 * * [simplify]: iters left: 5 (61 enodes) 74.893 * * [simplify]: iters left: 4 (91 enodes) 74.915 * * [simplify]: iters left: 3 (129 enodes) 74.961 * * [simplify]: iters left: 2 (215 enodes) 75.015 * * [simplify]: iters left: 1 (375 enodes) 75.162 * * [simplify]: Extracting #0: cost 1 inf + 0 75.163 * * [simplify]: Extracting #1: cost 4 inf + 0 75.163 * * [simplify]: Extracting #2: cost 10 inf + 0 75.163 * * [simplify]: Extracting #3: cost 38 inf + 0 75.164 * * [simplify]: Extracting #4: cost 113 inf + 83 75.165 * * [simplify]: Extracting #5: cost 135 inf + 706 75.167 * * [simplify]: Extracting #6: cost 118 inf + 2523 75.171 * * [simplify]: Extracting #7: cost 68 inf + 13262 75.186 * * [simplify]: Extracting #8: cost 11 inf + 46809 75.206 * * [simplify]: Extracting #9: cost 0 inf + 55563 75.226 * * [simplify]: Extracting #10: cost 0 inf + 55482 75.240 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 75.240 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 75.241 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 75.241 * * [simplify]: iters left: 6 (14 enodes) 75.245 * * [simplify]: iters left: 5 (57 enodes) 75.255 * * [simplify]: iters left: 4 (91 enodes) 75.272 * * [simplify]: iters left: 3 (127 enodes) 75.314 * * [simplify]: iters left: 2 (195 enodes) 75.358 * * [simplify]: iters left: 1 (361 enodes) 75.500 * * [simplify]: Extracting #0: cost 1 inf + 0 75.500 * * [simplify]: Extracting #1: cost 4 inf + 0 75.501 * * [simplify]: Extracting #2: cost 9 inf + 0 75.501 * * [simplify]: Extracting #3: cost 37 inf + 0 75.501 * * [simplify]: Extracting #4: cost 126 inf + 83 75.503 * * [simplify]: Extracting #5: cost 159 inf + 545 75.506 * * [simplify]: Extracting #6: cost 108 inf + 7710 75.516 * * [simplify]: Extracting #7: cost 48 inf + 28860 75.535 * * [simplify]: Extracting #8: cost 5 inf + 65663 75.546 * * [simplify]: Extracting #9: cost 0 inf + 66659 75.557 * * [simplify]: Extracting #10: cost 0 inf + 66008 75.571 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 75.571 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 75.571 * * * * [progress]: [ 87 / 315 ] simplifiying candidate # 75.572 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 75.572 * * [simplify]: iters left: 6 (6 enodes) 75.579 * * [simplify]: iters left: 5 (19 enodes) 75.584 * * [simplify]: iters left: 4 (23 enodes) 75.588 * * [simplify]: Extracting #0: cost 1 inf + 0 75.588 * * [simplify]: Extracting #1: cost 5 inf + 0 75.588 * * [simplify]: Extracting #2: cost 7 inf + 1 75.588 * * [simplify]: Extracting #3: cost 6 inf + 2 75.588 * * [simplify]: Extracting #4: cost 0 inf + 648 75.588 * [simplify]: Simplified to (fabs (cbrt k)) 75.588 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 75.588 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 75.589 * * [simplify]: iters left: 6 (13 enodes) 75.592 * * [simplify]: iters left: 5 (54 enodes) 75.602 * * [simplify]: iters left: 4 (85 enodes) 75.620 * * [simplify]: iters left: 3 (127 enodes) 75.664 * * [simplify]: iters left: 2 (219 enodes) 75.728 * * [simplify]: iters left: 1 (391 enodes) 75.866 * * [simplify]: Extracting #0: cost 1 inf + 0 75.866 * * [simplify]: Extracting #1: cost 6 inf + 0 75.866 * * [simplify]: Extracting #2: cost 38 inf + 0 75.866 * * [simplify]: Extracting #3: cost 124 inf + 1 75.867 * * [simplify]: Extracting #4: cost 161 inf + 707 75.868 * * [simplify]: Extracting #5: cost 125 inf + 3491 75.872 * * [simplify]: Extracting #6: cost 63 inf + 27130 75.886 * * [simplify]: Extracting #7: cost 12 inf + 63495 75.909 * * [simplify]: Extracting #8: cost 0 inf + 72924 75.931 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 75.931 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 75.931 * * * * [progress]: [ 88 / 315 ] simplifiying candidate # 75.932 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 75.932 * * [simplify]: iters left: 6 (15 enodes) 75.941 * * [simplify]: iters left: 5 (64 enodes) 75.957 * * [simplify]: iters left: 4 (102 enodes) 75.976 * * [simplify]: iters left: 3 (158 enodes) 76.020 * * [simplify]: iters left: 2 (277 enodes) 76.097 * * [simplify]: Extracting #0: cost 1 inf + 0 76.098 * * [simplify]: Extracting #1: cost 6 inf + 0 76.098 * * [simplify]: Extracting #2: cost 27 inf + 0 76.098 * * [simplify]: Extracting #3: cost 97 inf + 1 76.099 * * [simplify]: Extracting #4: cost 120 inf + 544 76.101 * * [simplify]: Extracting #5: cost 74 inf + 5556 76.110 * * [simplify]: Extracting #6: cost 30 inf + 15714 76.120 * * [simplify]: Extracting #7: cost 0 inf + 36390 76.126 * * [simplify]: Extracting #8: cost 0 inf + 35931 76.131 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))) 76.132 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 76.132 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 76.132 * * [simplify]: iters left: 6 (14 enodes) 76.136 * * [simplify]: iters left: 5 (60 enodes) 76.147 * * [simplify]: iters left: 4 (98 enodes) 76.172 * * [simplify]: iters left: 3 (154 enodes) 76.217 * * [simplify]: iters left: 2 (277 enodes) 76.285 * * [simplify]: Extracting #0: cost 1 inf + 0 76.285 * * [simplify]: Extracting #1: cost 6 inf + 0 76.285 * * [simplify]: Extracting #2: cost 27 inf + 0 76.286 * * [simplify]: Extracting #3: cost 96 inf + 1 76.286 * * [simplify]: Extracting #4: cost 118 inf + 423 76.288 * * [simplify]: Extracting #5: cost 69 inf + 8060 76.291 * * [simplify]: Extracting #6: cost 30 inf + 15467 76.295 * * [simplify]: Extracting #7: cost 1 inf + 34559 76.303 * * [simplify]: Extracting #8: cost 0 inf + 35516 76.308 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 76.308 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 76.308 * * * * [progress]: [ 89 / 315 ] simplifiying candidate # 76.308 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 76.308 * * [simplify]: iters left: 6 (10 enodes) 76.311 * * [simplify]: iters left: 5 (41 enodes) 76.319 * * [simplify]: iters left: 4 (64 enodes) 76.330 * * [simplify]: iters left: 3 (104 enodes) 76.357 * * [simplify]: iters left: 2 (198 enodes) 76.408 * * [simplify]: iters left: 1 (379 enodes) 76.521 * * [simplify]: Extracting #0: cost 1 inf + 0 76.521 * * [simplify]: Extracting #1: cost 6 inf + 0 76.521 * * [simplify]: Extracting #2: cost 38 inf + 0 76.522 * * [simplify]: Extracting #3: cost 124 inf + 2 76.522 * * [simplify]: Extracting #4: cost 179 inf + 461 76.524 * * [simplify]: Extracting #5: cost 142 inf + 6556 76.530 * * [simplify]: Extracting #6: cost 47 inf + 39006 76.539 * * [simplify]: Extracting #7: cost 3 inf + 66455 76.551 * * [simplify]: Extracting #8: cost 0 inf + 66818 76.561 * * [simplify]: Extracting #9: cost 0 inf + 66657 76.579 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 76.579 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 76.579 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 76.579 * * [simplify]: iters left: 6 (11 enodes) 76.586 * * [simplify]: iters left: 5 (45 enodes) 76.598 * * [simplify]: iters left: 4 (68 enodes) 76.611 * * [simplify]: iters left: 3 (108 enodes) 76.637 * * [simplify]: iters left: 2 (205 enodes) 76.689 * * [simplify]: iters left: 1 (386 enodes) 76.841 * * [simplify]: Extracting #0: cost 1 inf + 0 76.841 * * [simplify]: Extracting #1: cost 6 inf + 0 76.841 * * [simplify]: Extracting #2: cost 36 inf + 0 76.842 * * [simplify]: Extracting #3: cost 122 inf + 1 76.843 * * [simplify]: Extracting #4: cost 156 inf + 1004 76.845 * * [simplify]: Extracting #5: cost 92 inf + 19132 76.858 * * [simplify]: Extracting #6: cost 25 inf + 52173 76.876 * * [simplify]: Extracting #7: cost 0 inf + 70265 76.887 * * [simplify]: Extracting #8: cost 0 inf + 70003 76.901 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 76.901 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 76.901 * * * * [progress]: [ 90 / 315 ] simplifiying candidate # 76.902 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 76.902 * * [simplify]: iters left: 6 (15 enodes) 76.910 * * [simplify]: iters left: 5 (62 enodes) 76.930 * * [simplify]: iters left: 4 (93 enodes) 76.959 * * [simplify]: iters left: 3 (131 enodes) 76.995 * * [simplify]: iters left: 2 (217 enodes) 77.045 * * [simplify]: iters left: 1 (378 enodes) 77.182 * * [simplify]: Extracting #0: cost 1 inf + 0 77.182 * * [simplify]: Extracting #1: cost 6 inf + 0 77.183 * * [simplify]: Extracting #2: cost 12 inf + 0 77.183 * * [simplify]: Extracting #3: cost 39 inf + 0 77.183 * * [simplify]: Extracting #4: cost 105 inf + 84 77.183 * * [simplify]: Extracting #5: cost 160 inf + 340 77.184 * * [simplify]: Extracting #6: cost 136 inf + 2499 77.187 * * [simplify]: Extracting #7: cost 89 inf + 10439 77.193 * * [simplify]: Extracting #8: cost 27 inf + 39879 77.214 * * [simplify]: Extracting #9: cost 0 inf + 58654 77.233 * * [simplify]: Extracting #10: cost 0 inf + 57798 77.244 * * [simplify]: Extracting #11: cost 0 inf + 57132 77.255 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 77.255 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 77.256 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 77.256 * * [simplify]: iters left: 6 (14 enodes) 77.260 * * [simplify]: iters left: 5 (57 enodes) 77.281 * * [simplify]: iters left: 4 (90 enodes) 77.298 * * [simplify]: iters left: 3 (126 enodes) 77.324 * * [simplify]: iters left: 2 (194 enodes) 77.389 * * [simplify]: iters left: 1 (356 enodes) 77.564 * * [simplify]: Extracting #0: cost 1 inf + 0 77.564 * * [simplify]: Extracting #1: cost 4 inf + 0 77.564 * * [simplify]: Extracting #2: cost 8 inf + 0 77.564 * * [simplify]: Extracting #3: cost 34 inf + 0 77.565 * * [simplify]: Extracting #4: cost 118 inf + 43 77.566 * * [simplify]: Extracting #5: cost 153 inf + 382 77.569 * * [simplify]: Extracting #6: cost 108 inf + 6516 77.575 * * [simplify]: Extracting #7: cost 62 inf + 18405 77.588 * * [simplify]: Extracting #8: cost 23 inf + 48480 77.607 * * [simplify]: Extracting #9: cost 0 inf + 67958 77.630 * * [simplify]: Extracting #10: cost 0 inf + 67620 77.649 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 77.649 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 77.650 * * * * [progress]: [ 91 / 315 ] simplifiying candidate # 77.650 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 77.650 * * [simplify]: iters left: 6 (14 enodes) 77.658 * * [simplify]: iters left: 5 (57 enodes) 77.676 * * [simplify]: iters left: 4 (91 enodes) 77.704 * * [simplify]: iters left: 3 (127 enodes) 77.744 * * [simplify]: iters left: 2 (195 enodes) 77.791 * * [simplify]: iters left: 1 (361 enodes) 77.931 * * [simplify]: Extracting #0: cost 1 inf + 0 77.931 * * [simplify]: Extracting #1: cost 4 inf + 0 77.931 * * [simplify]: Extracting #2: cost 9 inf + 0 77.931 * * [simplify]: Extracting #3: cost 37 inf + 0 77.931 * * [simplify]: Extracting #4: cost 126 inf + 43 77.932 * * [simplify]: Extracting #5: cost 159 inf + 425 77.934 * * [simplify]: Extracting #6: cost 108 inf + 7550 77.944 * * [simplify]: Extracting #7: cost 48 inf + 28620 77.963 * * [simplify]: Extracting #8: cost 5 inf + 65423 77.975 * * [simplify]: Extracting #9: cost 0 inf + 66419 77.987 * * [simplify]: Extracting #10: cost 0 inf + 65768 77.998 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 77.998 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 77.999 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 77.999 * * [simplify]: iters left: 6 (14 enodes) 78.006 * * [simplify]: iters left: 5 (57 enodes) 78.025 * * [simplify]: iters left: 4 (91 enodes) 78.054 * * [simplify]: iters left: 3 (127 enodes) 78.094 * * [simplify]: iters left: 2 (195 enodes) 78.136 * * [simplify]: iters left: 1 (361 enodes) 78.298 * * [simplify]: Extracting #0: cost 1 inf + 0 78.298 * * [simplify]: Extracting #1: cost 4 inf + 0 78.298 * * [simplify]: Extracting #2: cost 9 inf + 0 78.298 * * [simplify]: Extracting #3: cost 37 inf + 0 78.299 * * [simplify]: Extracting #4: cost 126 inf + 43 78.299 * * [simplify]: Extracting #5: cost 159 inf + 425 78.301 * * [simplify]: Extracting #6: cost 108 inf + 7550 78.310 * * [simplify]: Extracting #7: cost 48 inf + 28620 78.324 * * [simplify]: Extracting #8: cost 5 inf + 65423 78.335 * * [simplify]: Extracting #9: cost 0 inf + 66419 78.347 * * [simplify]: Extracting #10: cost 0 inf + 65768 78.372 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 78.373 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 78.373 * * * * [progress]: [ 92 / 315 ] simplifiying candidate # 78.373 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 78.373 * * [simplify]: iters left: 4 (5 enodes) 78.376 * * [simplify]: iters left: 3 (15 enodes) 78.381 * * [simplify]: iters left: 2 (17 enodes) 78.386 * * [simplify]: Extracting #0: cost 1 inf + 0 78.386 * * [simplify]: Extracting #1: cost 4 inf + 0 78.386 * * [simplify]: Extracting #2: cost 5 inf + 1 78.386 * * [simplify]: Extracting #3: cost 4 inf + 2 78.387 * * [simplify]: Extracting #4: cost 1 inf + 165 78.387 * * [simplify]: Extracting #5: cost 0 inf + 246 78.387 * [simplify]: Simplified to (sqrt (sqrt k)) 78.387 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 78.387 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 78.387 * * [simplify]: iters left: 6 (13 enodes) 78.395 * * [simplify]: iters left: 5 (54 enodes) 78.412 * * [simplify]: iters left: 4 (85 enodes) 78.439 * * [simplify]: iters left: 3 (127 enodes) 78.483 * * [simplify]: iters left: 2 (219 enodes) 78.539 * * [simplify]: iters left: 1 (391 enodes) 78.666 * * [simplify]: Extracting #0: cost 1 inf + 0 78.666 * * [simplify]: Extracting #1: cost 6 inf + 0 78.666 * * [simplify]: Extracting #2: cost 38 inf + 0 78.667 * * [simplify]: Extracting #3: cost 124 inf + 1 78.668 * * [simplify]: Extracting #4: cost 161 inf + 547 78.670 * * [simplify]: Extracting #5: cost 125 inf + 3331 78.678 * * [simplify]: Extracting #6: cost 63 inf + 26730 78.700 * * [simplify]: Extracting #7: cost 12 inf + 62575 78.718 * * [simplify]: Extracting #8: cost 0 inf + 71924 78.729 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 78.729 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 78.729 * * * * [progress]: [ 93 / 315 ] simplifiying candidate # 78.729 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 78.729 * * [simplify]: iters left: 6 (14 enodes) 78.734 * * [simplify]: iters left: 5 (60 enodes) 78.744 * * [simplify]: iters left: 4 (98 enodes) 78.773 * * [simplify]: iters left: 3 (154 enodes) 78.810 * * [simplify]: iters left: 2 (277 enodes) 78.897 * * [simplify]: Extracting #0: cost 1 inf + 0 78.897 * * [simplify]: Extracting #1: cost 6 inf + 0 78.897 * * [simplify]: Extracting #2: cost 27 inf + 0 78.897 * * [simplify]: Extracting #3: cost 96 inf + 1 78.898 * * [simplify]: Extracting #4: cost 118 inf + 343 78.899 * * [simplify]: Extracting #5: cost 69 inf + 7820 78.904 * * [simplify]: Extracting #6: cost 30 inf + 15107 78.909 * * [simplify]: Extracting #7: cost 1 inf + 33879 78.914 * * [simplify]: Extracting #8: cost 0 inf + 34836 78.924 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 78.924 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 78.925 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 78.925 * * [simplify]: iters left: 6 (14 enodes) 78.932 * * [simplify]: iters left: 5 (60 enodes) 78.943 * * [simplify]: iters left: 4 (98 enodes) 78.959 * * [simplify]: iters left: 3 (154 enodes) 79.015 * * [simplify]: iters left: 2 (277 enodes) 79.103 * * [simplify]: Extracting #0: cost 1 inf + 0 79.103 * * [simplify]: Extracting #1: cost 6 inf + 0 79.103 * * [simplify]: Extracting #2: cost 27 inf + 0 79.103 * * [simplify]: Extracting #3: cost 96 inf + 1 79.104 * * [simplify]: Extracting #4: cost 118 inf + 343 79.107 * * [simplify]: Extracting #5: cost 69 inf + 7820 79.112 * * [simplify]: Extracting #6: cost 30 inf + 15107 79.121 * * [simplify]: Extracting #7: cost 1 inf + 33879 79.131 * * [simplify]: Extracting #8: cost 0 inf + 34836 79.144 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 79.145 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 79.145 * * * * [progress]: [ 94 / 315 ] simplifiying candidate # 79.145 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 79.145 * * [simplify]: iters left: 6 (9 enodes) 79.151 * * [simplify]: iters left: 5 (38 enodes) 79.164 * * [simplify]: iters left: 4 (61 enodes) 79.185 * * [simplify]: iters left: 3 (101 enodes) 79.223 * * [simplify]: iters left: 2 (195 enodes) 79.298 * * [simplify]: iters left: 1 (364 enodes) 79.422 * * [simplify]: Extracting #0: cost 1 inf + 0 79.422 * * [simplify]: Extracting #1: cost 6 inf + 0 79.422 * * [simplify]: Extracting #2: cost 35 inf + 1 79.423 * * [simplify]: Extracting #3: cost 114 inf + 3 79.424 * * [simplify]: Extracting #4: cost 172 inf + 10 79.426 * * [simplify]: Extracting #5: cost 170 inf + 101 79.428 * * [simplify]: Extracting #6: cost 133 inf + 3458 79.434 * * [simplify]: Extracting #7: cost 64 inf + 22490 79.448 * * [simplify]: Extracting #8: cost 10 inf + 52638 79.461 * * [simplify]: Extracting #9: cost 0 inf + 61831 79.470 * * [simplify]: Extracting #10: cost 0 inf + 60211 79.482 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 79.482 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 79.483 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 79.483 * * [simplify]: iters left: 6 (10 enodes) 79.486 * * [simplify]: iters left: 5 (42 enodes) 79.500 * * [simplify]: iters left: 4 (65 enodes) 79.522 * * [simplify]: iters left: 3 (102 enodes) 79.544 * * [simplify]: iters left: 2 (194 enodes) 79.603 * * [simplify]: iters left: 1 (369 enodes) 79.708 * * [simplify]: Extracting #0: cost 1 inf + 0 79.708 * * [simplify]: Extracting #1: cost 6 inf + 0 79.708 * * [simplify]: Extracting #2: cost 41 inf + 0 79.708 * * [simplify]: Extracting #3: cost 120 inf + 84 79.709 * * [simplify]: Extracting #4: cost 150 inf + 632 79.711 * * [simplify]: Extracting #5: cost 101 inf + 9941 79.719 * * [simplify]: Extracting #6: cost 31 inf + 43542 79.737 * * [simplify]: Extracting #7: cost 1 inf + 71261 79.747 * * [simplify]: Extracting #8: cost 0 inf + 68919 79.760 * * [simplify]: Extracting #9: cost 0 inf + 66507 79.771 * * [simplify]: Extracting #10: cost 0 inf + 65470 79.782 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 79.782 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 79.783 * * * * [progress]: [ 95 / 315 ] simplifiying candidate # 79.783 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 79.783 * * [simplify]: iters left: 6 (14 enodes) 79.791 * * [simplify]: iters left: 5 (59 enodes) 79.807 * * [simplify]: iters left: 4 (97 enodes) 79.823 * * [simplify]: iters left: 3 (136 enodes) 79.857 * * [simplify]: iters left: 2 (204 enodes) 79.900 * * [simplify]: iters left: 1 (365 enodes) 80.068 * * [simplify]: Extracting #0: cost 1 inf + 0 80.068 * * [simplify]: Extracting #1: cost 7 inf + 0 80.068 * * [simplify]: Extracting #2: cost 11 inf + 1 80.068 * * [simplify]: Extracting #3: cost 33 inf + 1 80.068 * * [simplify]: Extracting #4: cost 106 inf + 2 80.069 * * [simplify]: Extracting #5: cost 154 inf + 218 80.070 * * [simplify]: Extracting #6: cost 153 inf + 478 80.072 * * [simplify]: Extracting #7: cost 97 inf + 5937 80.080 * * [simplify]: Extracting #8: cost 51 inf + 20416 80.096 * * [simplify]: Extracting #9: cost 7 inf + 56930 80.115 * * [simplify]: Extracting #10: cost 0 inf + 61782 80.125 * * [simplify]: Extracting #11: cost 0 inf + 61639 80.135 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.135 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 80.135 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.136 * * [simplify]: iters left: 6 (13 enodes) 80.140 * * [simplify]: iters left: 5 (54 enodes) 80.151 * * [simplify]: iters left: 4 (87 enodes) 80.182 * * [simplify]: iters left: 3 (127 enodes) 80.222 * * [simplify]: iters left: 2 (196 enodes) 80.268 * * [simplify]: iters left: 1 (351 enodes) 80.413 * * [simplify]: Extracting #0: cost 1 inf + 0 80.413 * * [simplify]: Extracting #1: cost 4 inf + 0 80.413 * * [simplify]: Extracting #2: cost 8 inf + 0 80.413 * * [simplify]: Extracting #3: cost 32 inf + 1 80.413 * * [simplify]: Extracting #4: cost 115 inf + 43 80.414 * * [simplify]: Extracting #5: cost 148 inf + 301 80.415 * * [simplify]: Extracting #6: cost 97 inf + 9254 80.421 * * [simplify]: Extracting #7: cost 25 inf + 48526 80.432 * * [simplify]: Extracting #8: cost 0 inf + 66742 80.452 * * [simplify]: Extracting #9: cost 0 inf + 66320 80.471 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.471 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 80.472 * * * * [progress]: [ 96 / 315 ] simplifiying candidate # 80.472 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.472 * * [simplify]: iters left: 6 (13 enodes) 80.480 * * [simplify]: iters left: 5 (54 enodes) 80.493 * * [simplify]: iters left: 4 (88 enodes) 80.510 * * [simplify]: iters left: 3 (124 enodes) 80.531 * * [simplify]: iters left: 2 (192 enodes) 80.604 * * [simplify]: iters left: 1 (353 enodes) 80.728 * * [simplify]: Extracting #0: cost 1 inf + 0 80.728 * * [simplify]: Extracting #1: cost 4 inf + 0 80.728 * * [simplify]: Extracting #2: cost 6 inf + 1 80.729 * * [simplify]: Extracting #3: cost 31 inf + 1 80.729 * * [simplify]: Extracting #4: cost 117 inf + 2 80.729 * * [simplify]: Extracting #5: cost 149 inf + 177 80.730 * * [simplify]: Extracting #6: cost 141 inf + 724 80.732 * * [simplify]: Extracting #7: cost 89 inf + 9228 80.738 * * [simplify]: Extracting #8: cost 23 inf + 44405 80.755 * * [simplify]: Extracting #9: cost 0 inf + 63586 80.776 * * [simplify]: Extracting #10: cost 0 inf + 63254 80.797 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.797 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 80.798 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.798 * * [simplify]: iters left: 6 (13 enodes) 80.806 * * [simplify]: iters left: 5 (54 enodes) 80.819 * * [simplify]: iters left: 4 (88 enodes) 80.833 * * [simplify]: iters left: 3 (124 enodes) 80.870 * * [simplify]: iters left: 2 (192 enodes) 80.943 * * [simplify]: iters left: 1 (353 enodes) 81.092 * * [simplify]: Extracting #0: cost 1 inf + 0 81.092 * * [simplify]: Extracting #1: cost 4 inf + 0 81.092 * * [simplify]: Extracting #2: cost 9 inf + 0 81.092 * * [simplify]: Extracting #3: cost 33 inf + 1 81.093 * * [simplify]: Extracting #4: cost 119 inf + 43 81.094 * * [simplify]: Extracting #5: cost 143 inf + 633 81.098 * * [simplify]: Extracting #6: cost 96 inf + 8965 81.112 * * [simplify]: Extracting #7: cost 19 inf + 49656 81.133 * * [simplify]: Extracting #8: cost 0 inf + 65011 81.155 * * [simplify]: Extracting #9: cost 0 inf + 64202 81.171 * * [simplify]: Extracting #10: cost 0 inf + 61652 81.182 * * [simplify]: Extracting #11: cost 0 inf + 61028 81.194 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 81.194 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 81.194 * * * * [progress]: [ 97 / 315 ] simplifiying candidate # 81.194 * [simplify]: Simplifying (/ (sqrt 1) 1) 81.194 * * [simplify]: iters left: 3 (3 enodes) 81.197 * * [simplify]: iters left: 2 (9 enodes) 81.198 * * [simplify]: iters left: 1 (11 enodes) 81.201 * * [simplify]: Extracting #0: cost 1 inf + 0 81.201 * * [simplify]: Extracting #1: cost 0 inf + 1 81.201 * [simplify]: Simplified to 1 81.201 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 81.201 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 81.201 * * [simplify]: iters left: 6 (12 enodes) 81.208 * * [simplify]: iters left: 5 (51 enodes) 81.227 * * [simplify]: iters left: 4 (86 enodes) 81.255 * * [simplify]: iters left: 3 (131 enodes) 81.280 * * [simplify]: iters left: 2 (210 enodes) 81.338 * * [simplify]: iters left: 1 (376 enodes) 81.488 * * [simplify]: Extracting #0: cost 1 inf + 0 81.488 * * [simplify]: Extracting #1: cost 6 inf + 0 81.488 * * [simplify]: Extracting #2: cost 39 inf + 0 81.489 * * [simplify]: Extracting #3: cost 126 inf + 43 81.490 * * [simplify]: Extracting #4: cost 157 inf + 427 81.491 * * [simplify]: Extracting #5: cost 123 inf + 3535 81.493 * * [simplify]: Extracting #6: cost 80 inf + 12590 81.499 * * [simplify]: Extracting #7: cost 35 inf + 41559 81.508 * * [simplify]: Extracting #8: cost 0 inf + 71226 81.522 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 81.522 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 81.522 * * * * [progress]: [ 98 / 315 ] simplifiying candidate # 81.523 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.523 * * [simplify]: iters left: 6 (13 enodes) 81.532 * * [simplify]: iters left: 5 (57 enodes) 81.550 * * [simplify]: iters left: 4 (95 enodes) 81.581 * * [simplify]: iters left: 3 (148 enodes) 81.633 * * [simplify]: iters left: 2 (248 enodes) 81.689 * * [simplify]: iters left: 1 (441 enodes) 81.864 * * [simplify]: Extracting #0: cost 1 inf + 0 81.864 * * [simplify]: Extracting #1: cost 6 inf + 0 81.864 * * [simplify]: Extracting #2: cost 36 inf + 1 81.865 * * [simplify]: Extracting #3: cost 135 inf + 2 81.866 * * [simplify]: Extracting #4: cost 181 inf + 179 81.868 * * [simplify]: Extracting #5: cost 163 inf + 2507 81.871 * * [simplify]: Extracting #6: cost 81 inf + 15584 81.878 * * [simplify]: Extracting #7: cost 27 inf + 48700 81.892 * * [simplify]: Extracting #8: cost 0 inf + 70803 81.903 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 81.903 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 81.903 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.903 * * [simplify]: iters left: 6 (13 enodes) 81.907 * * [simplify]: iters left: 5 (57 enodes) 81.920 * * [simplify]: iters left: 4 (95 enodes) 81.952 * * [simplify]: iters left: 3 (148 enodes) 82.001 * * [simplify]: iters left: 2 (248 enodes) 82.056 * * [simplify]: iters left: 1 (441 enodes) 82.218 * * [simplify]: Extracting #0: cost 1 inf + 0 82.218 * * [simplify]: Extracting #1: cost 6 inf + 0 82.218 * * [simplify]: Extracting #2: cost 39 inf + 0 82.219 * * [simplify]: Extracting #3: cost 136 inf + 84 82.221 * * [simplify]: Extracting #4: cost 174 inf + 678 82.225 * * [simplify]: Extracting #5: cost 122 inf + 10036 82.238 * * [simplify]: Extracting #6: cost 42 inf + 40247 82.253 * * [simplify]: Extracting #7: cost 1 inf + 72437 82.265 * * [simplify]: Extracting #8: cost 0 inf + 71690 82.276 * * [simplify]: Extracting #9: cost 0 inf + 71650 82.290 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 82.290 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4)))))) 82.290 * * * * [progress]: [ 99 / 315 ] simplifiying candidate # 82.290 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 82.290 * * [simplify]: iters left: 6 (10 enodes) 82.294 * * [simplify]: iters left: 5 (41 enodes) 82.303 * * [simplify]: iters left: 4 (64 enodes) 82.325 * * [simplify]: iters left: 3 (104 enodes) 82.363 * * [simplify]: iters left: 2 (198 enodes) 82.415 * * [simplify]: iters left: 1 (379 enodes) 82.569 * * [simplify]: Extracting #0: cost 1 inf + 0 82.569 * * [simplify]: Extracting #1: cost 6 inf + 0 82.569 * * [simplify]: Extracting #2: cost 38 inf + 0 82.570 * * [simplify]: Extracting #3: cost 124 inf + 2 82.571 * * [simplify]: Extracting #4: cost 179 inf + 461 82.574 * * [simplify]: Extracting #5: cost 142 inf + 6556 82.580 * * [simplify]: Extracting #6: cost 47 inf + 39006 82.590 * * [simplify]: Extracting #7: cost 3 inf + 66455 82.606 * * [simplify]: Extracting #8: cost 0 inf + 66818 82.624 * * [simplify]: Extracting #9: cost 0 inf + 66657 82.642 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 82.642 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 82.643 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 82.643 * * [simplify]: iters left: 6 (11 enodes) 82.649 * * [simplify]: iters left: 5 (45 enodes) 82.664 * * [simplify]: iters left: 4 (68 enodes) 82.687 * * [simplify]: iters left: 3 (108 enodes) 82.728 * * [simplify]: iters left: 2 (205 enodes) 82.786 * * [simplify]: iters left: 1 (386 enodes) 82.928 * * [simplify]: Extracting #0: cost 1 inf + 0 82.928 * * [simplify]: Extracting #1: cost 6 inf + 0 82.928 * * [simplify]: Extracting #2: cost 36 inf + 0 82.929 * * [simplify]: Extracting #3: cost 122 inf + 1 82.930 * * [simplify]: Extracting #4: cost 156 inf + 1004 82.940 * * [simplify]: Extracting #5: cost 92 inf + 19132 82.952 * * [simplify]: Extracting #6: cost 25 inf + 52173 82.963 * * [simplify]: Extracting #7: cost 0 inf + 70265 82.973 * * [simplify]: Extracting #8: cost 0 inf + 70003 82.989 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 82.990 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 82.990 * * * * [progress]: [ 100 / 315 ] simplifiying candidate # 82.990 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 82.990 * * [simplify]: iters left: 6 (15 enodes) 82.997 * * [simplify]: iters left: 5 (62 enodes) 83.008 * * [simplify]: iters left: 4 (93 enodes) 83.023 * * [simplify]: iters left: 3 (131 enodes) 83.055 * * [simplify]: iters left: 2 (217 enodes) 83.116 * * [simplify]: iters left: 1 (378 enodes) 83.237 * * [simplify]: Extracting #0: cost 1 inf + 0 83.237 * * [simplify]: Extracting #1: cost 6 inf + 0 83.237 * * [simplify]: Extracting #2: cost 12 inf + 0 83.237 * * [simplify]: Extracting #3: cost 39 inf + 0 83.237 * * [simplify]: Extracting #4: cost 105 inf + 84 83.238 * * [simplify]: Extracting #5: cost 160 inf + 340 83.239 * * [simplify]: Extracting #6: cost 136 inf + 2499 83.241 * * [simplify]: Extracting #7: cost 89 inf + 10439 83.254 * * [simplify]: Extracting #8: cost 27 inf + 39879 83.275 * * [simplify]: Extracting #9: cost 0 inf + 58654 83.297 * * [simplify]: Extracting #10: cost 0 inf + 57798 83.313 * * [simplify]: Extracting #11: cost 0 inf + 57132 83.324 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 83.324 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 83.324 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.325 * * [simplify]: iters left: 6 (14 enodes) 83.329 * * [simplify]: iters left: 5 (57 enodes) 83.343 * * [simplify]: iters left: 4 (90 enodes) 83.372 * * [simplify]: iters left: 3 (126 enodes) 83.412 * * [simplify]: iters left: 2 (194 enodes) 83.487 * * [simplify]: iters left: 1 (356 enodes) 83.631 * * [simplify]: Extracting #0: cost 1 inf + 0 83.631 * * [simplify]: Extracting #1: cost 4 inf + 0 83.631 * * [simplify]: Extracting #2: cost 8 inf + 0 83.632 * * [simplify]: Extracting #3: cost 34 inf + 0 83.632 * * [simplify]: Extracting #4: cost 118 inf + 43 83.634 * * [simplify]: Extracting #5: cost 153 inf + 382 83.637 * * [simplify]: Extracting #6: cost 108 inf + 6516 83.643 * * [simplify]: Extracting #7: cost 62 inf + 18405 83.649 * * [simplify]: Extracting #8: cost 23 inf + 48480 83.659 * * [simplify]: Extracting #9: cost 0 inf + 67958 83.671 * * [simplify]: Extracting #10: cost 0 inf + 67620 83.684 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.684 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 83.685 * * * * [progress]: [ 101 / 315 ] simplifiying candidate # 83.685 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.685 * * [simplify]: iters left: 6 (14 enodes) 83.694 * * [simplify]: iters left: 5 (57 enodes) 83.713 * * [simplify]: iters left: 4 (91 enodes) 83.741 * * [simplify]: iters left: 3 (127 enodes) 83.763 * * [simplify]: iters left: 2 (195 enodes) 83.828 * * [simplify]: iters left: 1 (361 enodes) 84.000 * * [simplify]: Extracting #0: cost 1 inf + 0 84.000 * * [simplify]: Extracting #1: cost 4 inf + 0 84.000 * * [simplify]: Extracting #2: cost 9 inf + 0 84.000 * * [simplify]: Extracting #3: cost 37 inf + 0 84.001 * * [simplify]: Extracting #4: cost 126 inf + 43 84.004 * * [simplify]: Extracting #5: cost 159 inf + 425 84.006 * * [simplify]: Extracting #6: cost 108 inf + 7550 84.011 * * [simplify]: Extracting #7: cost 48 inf + 28620 84.021 * * [simplify]: Extracting #8: cost 5 inf + 65423 84.032 * * [simplify]: Extracting #9: cost 0 inf + 66419 84.043 * * [simplify]: Extracting #10: cost 0 inf + 65768 84.058 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 84.058 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 84.058 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 84.059 * * [simplify]: iters left: 6 (14 enodes) 84.063 * * [simplify]: iters left: 5 (57 enodes) 84.072 * * [simplify]: iters left: 4 (91 enodes) 84.086 * * [simplify]: iters left: 3 (127 enodes) 84.108 * * [simplify]: iters left: 2 (195 enodes) 84.174 * * [simplify]: iters left: 1 (361 enodes) 84.337 * * [simplify]: Extracting #0: cost 1 inf + 0 84.337 * * [simplify]: Extracting #1: cost 4 inf + 0 84.337 * * [simplify]: Extracting #2: cost 9 inf + 0 84.337 * * [simplify]: Extracting #3: cost 37 inf + 0 84.337 * * [simplify]: Extracting #4: cost 126 inf + 43 84.338 * * [simplify]: Extracting #5: cost 159 inf + 425 84.340 * * [simplify]: Extracting #6: cost 108 inf + 7550 84.345 * * [simplify]: Extracting #7: cost 48 inf + 28620 84.360 * * [simplify]: Extracting #8: cost 5 inf + 65423 84.382 * * [simplify]: Extracting #9: cost 0 inf + 66419 84.393 * * [simplify]: Extracting #10: cost 0 inf + 65768 84.407 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 84.407 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 84.408 * * * * [progress]: [ 102 / 315 ] simplifiying candidate # 84.408 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 84.408 * * [simplify]: iters left: 4 (5 enodes) 84.409 * * [simplify]: iters left: 3 (15 enodes) 84.414 * * [simplify]: iters left: 2 (17 enodes) 84.419 * * [simplify]: Extracting #0: cost 1 inf + 0 84.419 * * [simplify]: Extracting #1: cost 4 inf + 0 84.419 * * [simplify]: Extracting #2: cost 5 inf + 1 84.419 * * [simplify]: Extracting #3: cost 4 inf + 2 84.419 * * [simplify]: Extracting #4: cost 1 inf + 165 84.419 * * [simplify]: Extracting #5: cost 0 inf + 246 84.420 * [simplify]: Simplified to (sqrt (sqrt k)) 84.420 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 84.420 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 84.420 * * [simplify]: iters left: 6 (13 enodes) 84.427 * * [simplify]: iters left: 5 (54 enodes) 84.446 * * [simplify]: iters left: 4 (85 enodes) 84.473 * * [simplify]: iters left: 3 (127 enodes) 84.516 * * [simplify]: iters left: 2 (219 enodes) 84.598 * * [simplify]: iters left: 1 (391 enodes) 84.713 * * [simplify]: Extracting #0: cost 1 inf + 0 84.713 * * [simplify]: Extracting #1: cost 6 inf + 0 84.713 * * [simplify]: Extracting #2: cost 38 inf + 0 84.714 * * [simplify]: Extracting #3: cost 124 inf + 1 84.714 * * [simplify]: Extracting #4: cost 161 inf + 547 84.715 * * [simplify]: Extracting #5: cost 125 inf + 3331 84.722 * * [simplify]: Extracting #6: cost 63 inf + 26730 84.737 * * [simplify]: Extracting #7: cost 12 inf + 62575 84.759 * * [simplify]: Extracting #8: cost 0 inf + 71924 84.780 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 84.780 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 84.780 * * * * [progress]: [ 103 / 315 ] simplifiying candidate # 84.780 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.780 * * [simplify]: iters left: 6 (14 enodes) 84.789 * * [simplify]: iters left: 5 (60 enodes) 84.808 * * [simplify]: iters left: 4 (98 enodes) 84.840 * * [simplify]: iters left: 3 (154 enodes) 84.896 * * [simplify]: iters left: 2 (277 enodes) 84.999 * * [simplify]: Extracting #0: cost 1 inf + 0 84.999 * * [simplify]: Extracting #1: cost 6 inf + 0 85.000 * * [simplify]: Extracting #2: cost 27 inf + 0 85.000 * * [simplify]: Extracting #3: cost 96 inf + 1 85.003 * * [simplify]: Extracting #4: cost 118 inf + 343 85.006 * * [simplify]: Extracting #5: cost 69 inf + 7820 85.011 * * [simplify]: Extracting #6: cost 30 inf + 15107 85.020 * * [simplify]: Extracting #7: cost 1 inf + 33879 85.031 * * [simplify]: Extracting #8: cost 0 inf + 34836 85.041 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 85.041 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 85.041 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 85.041 * * [simplify]: iters left: 6 (14 enodes) 85.049 * * [simplify]: iters left: 5 (60 enodes) 85.070 * * [simplify]: iters left: 4 (98 enodes) 85.101 * * [simplify]: iters left: 3 (154 enodes) 85.159 * * [simplify]: iters left: 2 (277 enodes) 85.229 * * [simplify]: Extracting #0: cost 1 inf + 0 85.229 * * [simplify]: Extracting #1: cost 6 inf + 0 85.230 * * [simplify]: Extracting #2: cost 27 inf + 0 85.230 * * [simplify]: Extracting #3: cost 96 inf + 1 85.230 * * [simplify]: Extracting #4: cost 118 inf + 343 85.232 * * [simplify]: Extracting #5: cost 69 inf + 7820 85.235 * * [simplify]: Extracting #6: cost 30 inf + 15107 85.239 * * [simplify]: Extracting #7: cost 1 inf + 33879 85.247 * * [simplify]: Extracting #8: cost 0 inf + 34836 85.252 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 85.252 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 85.252 * * * * [progress]: [ 104 / 315 ] simplifiying candidate # 85.252 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 85.252 * * [simplify]: iters left: 6 (8 enodes) 85.255 * * [simplify]: iters left: 5 (35 enodes) 85.268 * * [simplify]: iters left: 4 (58 enodes) 85.288 * * [simplify]: iters left: 3 (95 enodes) 85.325 * * [simplify]: iters left: 2 (187 enodes) 85.398 * * [simplify]: iters left: 1 (360 enodes) 85.533 * * [simplify]: Extracting #0: cost 1 inf + 0 85.533 * * [simplify]: Extracting #1: cost 6 inf + 0 85.533 * * [simplify]: Extracting #2: cost 30 inf + 1 85.533 * * [simplify]: Extracting #3: cost 108 inf + 3 85.534 * * [simplify]: Extracting #4: cost 154 inf + 9 85.535 * * [simplify]: Extracting #5: cost 151 inf + 766 85.536 * * [simplify]: Extracting #6: cost 93 inf + 8506 85.542 * * [simplify]: Extracting #7: cost 31 inf + 35507 85.550 * * [simplify]: Extracting #8: cost 1 inf + 56067 85.561 * * [simplify]: Extracting #9: cost 0 inf + 56692 85.577 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 85.577 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 85.578 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 85.578 * * [simplify]: iters left: 6 (10 enodes) 85.584 * * [simplify]: iters left: 5 (42 enodes) 85.598 * * [simplify]: iters left: 4 (65 enodes) 85.619 * * [simplify]: iters left: 3 (102 enodes) 85.653 * * [simplify]: iters left: 2 (194 enodes) 85.694 * * [simplify]: iters left: 1 (369 enodes) 85.796 * * [simplify]: Extracting #0: cost 1 inf + 0 85.796 * * [simplify]: Extracting #1: cost 6 inf + 0 85.796 * * [simplify]: Extracting #2: cost 41 inf + 0 85.796 * * [simplify]: Extracting #3: cost 120 inf + 84 85.797 * * [simplify]: Extracting #4: cost 150 inf + 632 85.799 * * [simplify]: Extracting #5: cost 101 inf + 9941 85.808 * * [simplify]: Extracting #6: cost 31 inf + 43542 85.823 * * [simplify]: Extracting #7: cost 1 inf + 71261 85.836 * * [simplify]: Extracting #8: cost 0 inf + 68919 85.846 * * [simplify]: Extracting #9: cost 0 inf + 66507 85.858 * * [simplify]: Extracting #10: cost 0 inf + 65470 85.869 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 85.869 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 85.869 * * * * [progress]: [ 105 / 315 ] simplifiying candidate # 85.869 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 85.869 * * [simplify]: iters left: 6 (13 enodes) 85.873 * * [simplify]: iters left: 5 (56 enodes) 85.882 * * [simplify]: iters left: 4 (91 enodes) 85.901 * * [simplify]: iters left: 3 (127 enodes) 85.941 * * [simplify]: iters left: 2 (195 enodes) 85.993 * * [simplify]: iters left: 1 (360 enodes) 86.175 * * [simplify]: Extracting #0: cost 1 inf + 0 86.175 * * [simplify]: Extracting #1: cost 6 inf + 0 86.175 * * [simplify]: Extracting #2: cost 9 inf + 1 86.175 * * [simplify]: Extracting #3: cost 34 inf + 1 86.175 * * [simplify]: Extracting #4: cost 117 inf + 2 86.176 * * [simplify]: Extracting #5: cost 158 inf + 218 86.177 * * [simplify]: Extracting #6: cost 156 inf + 519 86.179 * * [simplify]: Extracting #7: cost 96 inf + 9283 86.189 * * [simplify]: Extracting #8: cost 21 inf + 53882 86.211 * * [simplify]: Extracting #9: cost 0 inf + 69982 86.232 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 86.233 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 86.233 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.233 * * [simplify]: iters left: 6 (13 enodes) 86.241 * * [simplify]: iters left: 5 (54 enodes) 86.259 * * [simplify]: iters left: 4 (87 enodes) 86.289 * * [simplify]: iters left: 3 (127 enodes) 86.332 * * [simplify]: iters left: 2 (196 enodes) 86.373 * * [simplify]: iters left: 1 (351 enodes) 86.501 * * [simplify]: Extracting #0: cost 1 inf + 0 86.501 * * [simplify]: Extracting #1: cost 4 inf + 0 86.501 * * [simplify]: Extracting #2: cost 8 inf + 0 86.501 * * [simplify]: Extracting #3: cost 32 inf + 1 86.502 * * [simplify]: Extracting #4: cost 115 inf + 43 86.503 * * [simplify]: Extracting #5: cost 148 inf + 301 86.506 * * [simplify]: Extracting #6: cost 97 inf + 9254 86.518 * * [simplify]: Extracting #7: cost 25 inf + 48526 86.538 * * [simplify]: Extracting #8: cost 0 inf + 66742 86.558 * * [simplify]: Extracting #9: cost 0 inf + 66320 86.578 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.578 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 86.578 * * * * [progress]: [ 106 / 315 ] simplifiying candidate # 86.578 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.578 * * [simplify]: iters left: 6 (12 enodes) 86.585 * * [simplify]: iters left: 5 (51 enodes) 86.603 * * [simplify]: iters left: 4 (85 enodes) 86.631 * * [simplify]: iters left: 3 (126 enodes) 86.675 * * [simplify]: iters left: 2 (199 enodes) 86.721 * * [simplify]: iters left: 1 (355 enodes) 86.887 * * [simplify]: Extracting #0: cost 1 inf + 0 86.887 * * [simplify]: Extracting #1: cost 4 inf + 0 86.887 * * [simplify]: Extracting #2: cost 6 inf + 1 86.887 * * [simplify]: Extracting #3: cost 31 inf + 1 86.887 * * [simplify]: Extracting #4: cost 106 inf + 2 86.888 * * [simplify]: Extracting #5: cost 132 inf + 177 86.888 * * [simplify]: Extracting #6: cost 123 inf + 1142 86.890 * * [simplify]: Extracting #7: cost 78 inf + 7017 86.894 * * [simplify]: Extracting #8: cost 36 inf + 24527 86.912 * * [simplify]: Extracting #9: cost 3 inf + 51060 86.933 * * [simplify]: Extracting #10: cost 0 inf + 52653 86.944 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 86.944 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.945 * * [simplify]: iters left: 6 (13 enodes) 86.949 * * [simplify]: iters left: 5 (54 enodes) 86.958 * * [simplify]: iters left: 4 (88 enodes) 86.981 * * [simplify]: iters left: 3 (124 enodes) 87.011 * * [simplify]: iters left: 2 (192 enodes) 87.065 * * [simplify]: iters left: 1 (353 enodes) 87.208 * * [simplify]: Extracting #0: cost 1 inf + 0 87.208 * * [simplify]: Extracting #1: cost 4 inf + 0 87.208 * * [simplify]: Extracting #2: cost 9 inf + 0 87.209 * * [simplify]: Extracting #3: cost 33 inf + 1 87.209 * * [simplify]: Extracting #4: cost 119 inf + 43 87.210 * * [simplify]: Extracting #5: cost 143 inf + 633 87.212 * * [simplify]: Extracting #6: cost 96 inf + 8965 87.218 * * [simplify]: Extracting #7: cost 19 inf + 49656 87.229 * * [simplify]: Extracting #8: cost 0 inf + 65011 87.240 * * [simplify]: Extracting #9: cost 0 inf + 64202 87.253 * * [simplify]: Extracting #10: cost 0 inf + 61652 87.267 * * [simplify]: Extracting #11: cost 0 inf + 61028 87.278 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.278 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 87.278 * * * * [progress]: [ 107 / 315 ] simplifiying candidate # 87.279 * [simplify]: Simplifying (/ 1 1) 87.279 * * [simplify]: iters left: 2 (2 enodes) 87.280 * * [simplify]: iters left: 1 (6 enodes) 87.283 * * [simplify]: Extracting #0: cost 1 inf + 0 87.283 * * [simplify]: Extracting #1: cost 0 inf + 1 87.283 * [simplify]: Simplified to 1 87.283 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.283 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.283 * * [simplify]: iters left: 6 (12 enodes) 87.290 * * [simplify]: iters left: 5 (51 enodes) 87.307 * * [simplify]: iters left: 4 (86 enodes) 87.335 * * [simplify]: iters left: 3 (131 enodes) 87.378 * * [simplify]: iters left: 2 (210 enodes) 87.456 * * [simplify]: iters left: 1 (376 enodes) 87.612 * * [simplify]: Extracting #0: cost 1 inf + 0 87.612 * * [simplify]: Extracting #1: cost 6 inf + 0 87.613 * * [simplify]: Extracting #2: cost 39 inf + 0 87.613 * * [simplify]: Extracting #3: cost 126 inf + 43 87.614 * * [simplify]: Extracting #4: cost 157 inf + 427 87.615 * * [simplify]: Extracting #5: cost 123 inf + 3535 87.617 * * [simplify]: Extracting #6: cost 80 inf + 12590 87.623 * * [simplify]: Extracting #7: cost 35 inf + 41559 87.632 * * [simplify]: Extracting #8: cost 0 inf + 71226 87.642 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.642 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.642 * * * * [progress]: [ 108 / 315 ] simplifiying candidate # 87.642 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 87.642 * * [simplify]: iters left: 6 (12 enodes) 87.646 * * [simplify]: iters left: 5 (54 enodes) 87.656 * * [simplify]: iters left: 4 (92 enodes) 87.671 * * [simplify]: iters left: 3 (151 enodes) 87.705 * * [simplify]: iters left: 2 (276 enodes) 87.799 * * [simplify]: Extracting #0: cost 1 inf + 0 87.799 * * [simplify]: Extracting #1: cost 6 inf + 0 87.799 * * [simplify]: Extracting #2: cost 24 inf + 1 87.801 * * [simplify]: Extracting #3: cost 96 inf + 2 87.802 * * [simplify]: Extracting #4: cost 123 inf + 220 87.802 * * [simplify]: Extracting #5: cost 119 inf + 724 87.804 * * [simplify]: Extracting #6: cost 67 inf + 6949 87.808 * * [simplify]: Extracting #7: cost 9 inf + 31486 87.813 * * [simplify]: Extracting #8: cost 0 inf + 36804 87.819 * * [simplify]: Extracting #9: cost 0 inf + 36673 87.828 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 87.828 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 87.828 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 87.828 * * [simplify]: iters left: 6 (13 enodes) 87.832 * * [simplify]: iters left: 5 (57 enodes) 87.841 * * [simplify]: iters left: 4 (95 enodes) 87.857 * * [simplify]: iters left: 3 (148 enodes) 87.898 * * [simplify]: iters left: 2 (248 enodes) 87.980 * * [simplify]: iters left: 1 (441 enodes) 88.149 * * [simplify]: Extracting #0: cost 1 inf + 0 88.149 * * [simplify]: Extracting #1: cost 6 inf + 0 88.149 * * [simplify]: Extracting #2: cost 39 inf + 0 88.150 * * [simplify]: Extracting #3: cost 136 inf + 84 88.152 * * [simplify]: Extracting #4: cost 174 inf + 678 88.156 * * [simplify]: Extracting #5: cost 122 inf + 10036 88.170 * * [simplify]: Extracting #6: cost 42 inf + 40247 88.189 * * [simplify]: Extracting #7: cost 1 inf + 72437 88.201 * * [simplify]: Extracting #8: cost 0 inf + 71690 88.215 * * [simplify]: Extracting #9: cost 0 inf + 71650 88.226 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 88.226 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4)))))) 88.227 * * * * [progress]: [ 109 / 315 ] simplifiying candidate # 88.227 * * * * [progress]: [ 110 / 315 ] simplifiying candidate # 88.227 * * * * [progress]: [ 111 / 315 ] simplifiying candidate # 88.227 * * * * [progress]: [ 112 / 315 ] simplifiying candidate # 88.227 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 88.227 * * [simplify]: iters left: 5 (8 enodes) 88.230 * * [simplify]: iters left: 4 (36 enodes) 88.236 * * [simplify]: iters left: 3 (57 enodes) 88.247 * * [simplify]: iters left: 2 (90 enodes) 88.267 * * [simplify]: iters left: 1 (176 enodes) 88.309 * * [simplify]: Extracting #0: cost 1 inf + 0 88.309 * * [simplify]: Extracting #1: cost 13 inf + 0 88.310 * * [simplify]: Extracting #2: cost 55 inf + 1 88.310 * * [simplify]: Extracting #3: cost 86 inf + 6 88.311 * * [simplify]: Extracting #4: cost 73 inf + 1511 88.314 * * [simplify]: Extracting #5: cost 26 inf + 9176 88.320 * * [simplify]: Extracting #6: cost 2 inf + 22574 88.326 * * [simplify]: Extracting #7: cost 0 inf + 23644 88.333 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 88.333 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 88.333 * * * * [progress]: [ 113 / 315 ] simplifiying candidate # 88.334 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 88.334 * * [simplify]: iters left: 6 (11 enodes) 88.340 * * [simplify]: iters left: 5 (48 enodes) 88.356 * * [simplify]: iters left: 4 (77 enodes) 88.369 * * [simplify]: iters left: 3 (118 enodes) 88.393 * * [simplify]: iters left: 2 (206 enodes) 88.444 * * [simplify]: iters left: 1 (371 enodes) 88.614 * * [simplify]: Extracting #0: cost 1 inf + 0 88.614 * * [simplify]: Extracting #1: cost 3 inf + 0 88.614 * * [simplify]: Extracting #2: cost 27 inf + 0 88.615 * * [simplify]: Extracting #3: cost 104 inf + 1 88.616 * * [simplify]: Extracting #4: cost 163 inf + 176 88.617 * * [simplify]: Extracting #5: cost 155 inf + 644 88.622 * * [simplify]: Extracting #6: cost 108 inf + 12272 88.637 * * [simplify]: Extracting #7: cost 33 inf + 38791 88.657 * * [simplify]: Extracting #8: cost 2 inf + 57668 88.677 * * [simplify]: Extracting #9: cost 0 inf + 58395 88.698 * * [simplify]: Extracting #10: cost 0 inf + 58313 88.718 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 88.718 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 88.719 * * * * [progress]: [ 114 / 315 ] simplifiying candidate # 88.719 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 88.719 * * [simplify]: iters left: 6 (11 enodes) 88.725 * * [simplify]: iters left: 5 (48 enodes) 88.742 * * [simplify]: iters left: 4 (78 enodes) 88.758 * * [simplify]: iters left: 3 (120 enodes) 88.788 * * [simplify]: iters left: 2 (211 enodes) 88.830 * * [simplify]: iters left: 1 (380 enodes) 88.975 * * [simplify]: Extracting #0: cost 1 inf + 0 88.975 * * [simplify]: Extracting #1: cost 4 inf + 0 88.976 * * [simplify]: Extracting #2: cost 29 inf + 0 88.976 * * [simplify]: Extracting #3: cost 113 inf + 1 88.977 * * [simplify]: Extracting #4: cost 155 inf + 220 88.977 * * [simplify]: Extracting #5: cost 153 inf + 561 88.979 * * [simplify]: Extracting #6: cost 121 inf + 2833 88.981 * * [simplify]: Extracting #7: cost 68 inf + 14038 88.989 * * [simplify]: Extracting #8: cost 15 inf + 50044 89.001 * * [simplify]: Extracting #9: cost 0 inf + 59395 89.018 * * [simplify]: Extracting #10: cost 0 inf + 59194 89.031 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 89.031 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 89.031 * * * * [progress]: [ 115 / 315 ] simplifiying candidate # 89.032 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 89.032 * * [simplify]: iters left: 5 (10 enodes) 89.036 * * [simplify]: iters left: 4 (45 enodes) 89.052 * * [simplify]: iters left: 3 (78 enodes) 89.078 * * [simplify]: iters left: 2 (118 enodes) 89.117 * * [simplify]: iters left: 1 (191 enodes) 89.163 * * [simplify]: Extracting #0: cost 1 inf + 0 89.163 * * [simplify]: Extracting #1: cost 13 inf + 0 89.163 * * [simplify]: Extracting #2: cost 60 inf + 1 89.164 * * [simplify]: Extracting #3: cost 92 inf + 7 89.164 * * [simplify]: Extracting #4: cost 83 inf + 930 89.165 * * [simplify]: Extracting #5: cost 41 inf + 6729 89.168 * * [simplify]: Extracting #6: cost 13 inf + 16801 89.171 * * [simplify]: Extracting #7: cost 0 inf + 25197 89.175 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 89.175 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 89.175 * * * * [progress]: [ 116 / 315 ] simplifiying candidate # 89.175 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 89.175 * * [simplify]: iters left: 6 (11 enodes) 89.179 * * [simplify]: iters left: 5 (51 enodes) 89.189 * * [simplify]: iters left: 4 (87 enodes) 89.218 * * [simplify]: iters left: 3 (143 enodes) 89.271 * * [simplify]: iters left: 2 (259 enodes) 89.346 * * [simplify]: iters left: 1 (469 enodes) 89.595 * * [simplify]: Extracting #0: cost 1 inf + 0 89.595 * * [simplify]: Extracting #1: cost 24 inf + 0 89.596 * * [simplify]: Extracting #2: cost 110 inf + 1 89.597 * * [simplify]: Extracting #3: cost 192 inf + 178 89.599 * * [simplify]: Extracting #4: cost 178 inf + 1845 89.606 * * [simplify]: Extracting #5: cost 89 inf + 12477 89.617 * * [simplify]: Extracting #6: cost 41 inf + 28219 89.637 * * [simplify]: Extracting #7: cost 4 inf + 58625 89.657 * * [simplify]: Extracting #8: cost 0 inf + 62670 89.677 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 89.677 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))))) 89.677 * * * * [progress]: [ 117 / 315 ] simplifiying candidate # 89.678 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 89.678 * * [simplify]: iters left: 4 (4 enodes) 89.679 * * [simplify]: iters left: 3 (12 enodes) 89.683 * * [simplify]: Extracting #0: cost 1 inf + 0 89.683 * * [simplify]: Extracting #1: cost 3 inf + 0 89.683 * * [simplify]: Extracting #2: cost 5 inf + 0 89.683 * * [simplify]: Extracting #3: cost 7 inf + 0 89.683 * * [simplify]: Extracting #4: cost 6 inf + 1 89.683 * * [simplify]: Extracting #5: cost 0 inf + 647 89.683 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 89.683 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 89.684 * * * * [progress]: [ 118 / 315 ] simplifiying candidate # 89.684 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 89.684 * * [simplify]: iters left: 4 (4 enodes) 89.686 * * [simplify]: iters left: 3 (13 enodes) 89.689 * * [simplify]: Extracting #0: cost 1 inf + 0 89.689 * * [simplify]: Extracting #1: cost 4 inf + 0 89.689 * * [simplify]: Extracting #2: cost 7 inf + 0 89.689 * * [simplify]: Extracting #3: cost 6 inf + 1 89.689 * * [simplify]: Extracting #4: cost 0 inf + 647 89.689 * [simplify]: Simplified to (fabs (cbrt k)) 89.690 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 89.690 * * * * [progress]: [ 119 / 315 ] simplifiying candidate # 89.690 * [simplify]: Simplifying (sqrt (sqrt k)) 89.690 * * [simplify]: iters left: 2 (3 enodes) 89.691 * * [simplify]: iters left: 1 (9 enodes) 89.692 * * [simplify]: Extracting #0: cost 1 inf + 0 89.692 * * [simplify]: Extracting #1: cost 3 inf + 0 89.692 * * [simplify]: Extracting #2: cost 5 inf + 0 89.692 * * [simplify]: Extracting #3: cost 4 inf + 1 89.692 * * [simplify]: Extracting #4: cost 0 inf + 245 89.692 * [simplify]: Simplified to (sqrt (sqrt k)) 89.692 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 89.692 * * * * [progress]: [ 120 / 315 ] simplifiying candidate # 89.692 * [simplify]: Simplifying (sqrt 1) 89.692 * * [simplify]: iters left: 1 (2 enodes) 89.694 * * [simplify]: Extracting #0: cost 1 inf + 0 89.694 * * [simplify]: Extracting #1: cost 0 inf + 1 89.694 * [simplify]: Simplified to 1 89.694 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 89.694 * * * * [progress]: [ 121 / 315 ] simplifiying candidate # 89.694 * [simplify]: Simplifying (sqrt (sqrt k)) 89.694 * * [simplify]: iters left: 2 (3 enodes) 89.695 * * [simplify]: iters left: 1 (9 enodes) 89.696 * * [simplify]: Extracting #0: cost 1 inf + 0 89.696 * * [simplify]: Extracting #1: cost 3 inf + 0 89.696 * * [simplify]: Extracting #2: cost 5 inf + 0 89.696 * * [simplify]: Extracting #3: cost 4 inf + 1 89.696 * * [simplify]: Extracting #4: cost 0 inf + 245 89.696 * [simplify]: Simplified to (sqrt (sqrt k)) 89.696 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 89.696 * * * * [progress]: [ 122 / 315 ] simplifiying candidate # 89.696 * * * * [progress]: [ 123 / 315 ] simplifiying candidate # 89.697 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 89.697 * * [simplify]: iters left: 5 (8 enodes) 89.699 * * [simplify]: iters left: 4 (31 enodes) 89.704 * * [simplify]: iters left: 3 (51 enodes) 89.714 * * [simplify]: iters left: 2 (85 enodes) 89.729 * * [simplify]: iters left: 1 (152 enodes) 89.757 * * [simplify]: Extracting #0: cost 1 inf + 0 89.758 * * [simplify]: Extracting #1: cost 13 inf + 0 89.758 * * [simplify]: Extracting #2: cost 59 inf + 1 89.758 * * [simplify]: Extracting #3: cost 76 inf + 9 89.758 * * [simplify]: Extracting #4: cost 41 inf + 3303 89.760 * * [simplify]: Extracting #5: cost 16 inf + 10676 89.763 * * [simplify]: Extracting #6: cost 0 inf + 21028 89.765 * * [simplify]: Extracting #7: cost 0 inf + 20456 89.768 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 89.768 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))) 89.768 * * * * [progress]: [ 124 / 315 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 89.768 * * * * [progress]: [ 125 / 315 ] simplifiying candidate # 89.768 * * * * [progress]: [ 126 / 315 ] simplifiying candidate # 89.768 * * * * [progress]: [ 127 / 315 ] simplifiying candidate # 89.768 * * * * [progress]: [ 128 / 315 ] simplifiying candidate # 89.769 * [simplify]: Simplifying (- 1) 89.769 * * [simplify]: iters left: 2 (2 enodes) 89.770 * * [simplify]: iters left: 1 (9 enodes) 89.773 * * [simplify]: Extracting #0: cost 1 inf + 0 89.773 * * [simplify]: Extracting #1: cost 0 inf + 1 89.773 * [simplify]: Simplified to -1 89.773 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 89.773 * * * * [progress]: [ 129 / 315 ] simplifiying candidate # 89.773 * * * * [progress]: [ 130 / 315 ] simplifiying candidate # 89.773 * * * * [progress]: [ 131 / 315 ] simplifiying candidate # 89.774 * * * * [progress]: [ 132 / 315 ] simplifiying candidate # 89.774 * * * * [progress]: [ 133 / 315 ] simplifiying candidate # 89.774 * * * * [progress]: [ 134 / 315 ] simplifiying candidate # 89.774 * * * * [progress]: [ 135 / 315 ] simplifiying candidate # 89.774 * * * * [progress]: [ 136 / 315 ] simplifiying candidate # 89.774 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 89.774 * * [simplify]: iters left: 6 (18 enodes) 89.779 * * [simplify]: iters left: 5 (74 enodes) 89.794 * * [simplify]: iters left: 4 (139 enodes) 89.840 * * [simplify]: iters left: 3 (434 enodes) 90.092 * * [simplify]: Extracting #0: cost 1 inf + 0 90.092 * * [simplify]: Extracting #1: cost 61 inf + 0 90.092 * * [simplify]: Extracting #2: cost 227 inf + 1 90.094 * * [simplify]: Extracting #3: cost 292 inf + 2471 90.098 * * [simplify]: Extracting #4: cost 223 inf + 26602 90.105 * * [simplify]: Extracting #5: cost 156 inf + 44396 90.125 * * [simplify]: Extracting #6: cost 19 inf + 92109 90.154 * * [simplify]: Extracting #7: cost 0 inf + 99178 90.188 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 90.188 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 90.188 * * * * [progress]: [ 137 / 315 ] simplifiying candidate # 90.188 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 90.188 * * [simplify]: iters left: 6 (17 enodes) 90.193 * * [simplify]: iters left: 5 (72 enodes) 90.206 * * [simplify]: iters left: 4 (132 enodes) 90.256 * * [simplify]: iters left: 3 (361 enodes) 90.495 * * [simplify]: Extracting #0: cost 1 inf + 0 90.495 * * [simplify]: Extracting #1: cost 52 inf + 0 90.497 * * [simplify]: Extracting #2: cost 200 inf + 1 90.499 * * [simplify]: Extracting #3: cost 263 inf + 1752 90.506 * * [simplify]: Extracting #4: cost 207 inf + 18926 90.525 * * [simplify]: Extracting #5: cost 62 inf + 61899 90.561 * * [simplify]: Extracting #6: cost 2 inf + 80215 90.593 * * [simplify]: Extracting #7: cost 0 inf + 80538 90.610 * * [simplify]: Extracting #8: cost 0 inf + 80535 90.632 * [simplify]: Simplified to (- (* (/ (+ (log n) (log (* PI 2))) 2) (- 1 k)) (log (sqrt k))) 90.632 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (+ (log n) (log (* PI 2))) 2) (- 1 k)) (log (sqrt k))))) 90.632 * * * * [progress]: [ 138 / 315 ] simplifiying candidate # 90.633 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 90.633 * * [simplify]: iters left: 6 (16 enodes) 90.640 * * [simplify]: iters left: 5 (71 enodes) 90.652 * * [simplify]: iters left: 4 (139 enodes) 90.688 * * [simplify]: iters left: 3 (332 enodes) 90.821 * * [simplify]: Extracting #0: cost 1 inf + 0 90.821 * * [simplify]: Extracting #1: cost 40 inf + 0 90.822 * * [simplify]: Extracting #2: cost 167 inf + 1 90.823 * * [simplify]: Extracting #3: cost 234 inf + 545 90.825 * * [simplify]: Extracting #4: cost 226 inf + 5441 90.836 * * [simplify]: Extracting #5: cost 53 inf + 44372 90.861 * * [simplify]: Extracting #6: cost 2 inf + 59693 90.888 * * [simplify]: Extracting #7: cost 0 inf + 60440 90.908 * * [simplify]: Extracting #8: cost 0 inf + 60438 90.925 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 90.925 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 90.925 * * * * [progress]: [ 139 / 315 ] simplifiying candidate # 90.925 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 90.925 * * [simplify]: iters left: 6 (16 enodes) 90.930 * * [simplify]: iters left: 5 (71 enodes) 90.946 * * [simplify]: iters left: 4 (139 enodes) 90.984 * * [simplify]: iters left: 3 (332 enodes) 91.159 * * [simplify]: Extracting #0: cost 1 inf + 0 91.160 * * [simplify]: Extracting #1: cost 40 inf + 0 91.161 * * [simplify]: Extracting #2: cost 167 inf + 1 91.163 * * [simplify]: Extracting #3: cost 234 inf + 545 91.166 * * [simplify]: Extracting #4: cost 226 inf + 5441 91.182 * * [simplify]: Extracting #5: cost 53 inf + 44372 91.207 * * [simplify]: Extracting #6: cost 2 inf + 59693 91.234 * * [simplify]: Extracting #7: cost 0 inf + 60440 91.265 * * [simplify]: Extracting #8: cost 0 inf + 60438 91.289 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 91.289 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 91.289 * * * * [progress]: [ 140 / 315 ] simplifiying candidate # 91.289 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 91.289 * * [simplify]: iters left: 6 (16 enodes) 91.294 * * [simplify]: iters left: 5 (70 enodes) 91.307 * * [simplify]: iters left: 4 (131 enodes) 91.348 * * [simplify]: iters left: 3 (297 enodes) 91.511 * * [simplify]: Extracting #0: cost 1 inf + 0 91.512 * * [simplify]: Extracting #1: cost 49 inf + 0 91.513 * * [simplify]: Extracting #2: cost 218 inf + 1 91.515 * * [simplify]: Extracting #3: cost 310 inf + 76 91.519 * * [simplify]: Extracting #4: cost 262 inf + 7642 91.535 * * [simplify]: Extracting #5: cost 78 inf + 50599 91.562 * * [simplify]: Extracting #6: cost 5 inf + 74157 91.594 * * [simplify]: Extracting #7: cost 0 inf + 76578 91.610 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 91.611 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 91.611 * * * * [progress]: [ 141 / 315 ] simplifiying candidate # 91.611 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 91.611 * * [simplify]: iters left: 6 (15 enodes) 91.615 * * [simplify]: iters left: 5 (64 enodes) 91.626 * * [simplify]: iters left: 4 (109 enodes) 91.644 * * [simplify]: iters left: 3 (203 enodes) 91.707 * * [simplify]: Extracting #0: cost 1 inf + 0 91.707 * * [simplify]: Extracting #1: cost 13 inf + 0 91.707 * * [simplify]: Extracting #2: cost 106 inf + 1 91.708 * * [simplify]: Extracting #3: cost 177 inf + 3 91.709 * * [simplify]: Extracting #4: cost 198 inf + 204 91.712 * * [simplify]: Extracting #5: cost 151 inf + 8478 91.724 * * [simplify]: Extracting #6: cost 24 inf + 40292 91.740 * * [simplify]: Extracting #7: cost 0 inf + 51008 91.755 * * [simplify]: Extracting #8: cost 0 inf + 49521 91.772 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 91.772 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))) 91.772 * * * * [progress]: [ 142 / 315 ] simplifiying candidate # 91.772 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 91.772 * * [simplify]: iters left: 6 (18 enodes) 91.782 * * [simplify]: iters left: 5 (75 enodes) 91.806 * * [simplify]: iters left: 4 (135 enodes) 91.839 * * [simplify]: iters left: 3 (430 enodes) 92.129 * * [simplify]: Extracting #0: cost 1 inf + 0 92.129 * * [simplify]: Extracting #1: cost 58 inf + 0 92.130 * * [simplify]: Extracting #2: cost 212 inf + 1 92.132 * * [simplify]: Extracting #3: cost 277 inf + 1881 92.139 * * [simplify]: Extracting #4: cost 225 inf + 19973 92.150 * * [simplify]: Extracting #5: cost 140 inf + 44174 92.165 * * [simplify]: Extracting #6: cost 16 inf + 87594 92.194 * * [simplify]: Extracting #7: cost 0 inf + 93898 92.231 * [simplify]: Simplified to (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))) 92.231 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))))) 92.232 * * * * [progress]: [ 143 / 315 ] simplifiying candidate # 92.232 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 92.232 * * [simplify]: iters left: 6 (17 enodes) 92.242 * * [simplify]: iters left: 5 (73 enodes) 92.265 * * [simplify]: iters left: 4 (128 enodes) 92.298 * * [simplify]: iters left: 3 (355 enodes) 92.486 * * [simplify]: Extracting #0: cost 1 inf + 0 92.486 * * [simplify]: Extracting #1: cost 47 inf + 0 92.487 * * [simplify]: Extracting #2: cost 184 inf + 1 92.488 * * [simplify]: Extracting #3: cost 244 inf + 2664 92.492 * * [simplify]: Extracting #4: cost 195 inf + 19789 92.504 * * [simplify]: Extracting #5: cost 74 inf + 53480 92.522 * * [simplify]: Extracting #6: cost 2 inf + 74312 92.551 * * [simplify]: Extracting #7: cost 0 inf + 74608 92.567 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 92.567 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 92.567 * * * * [progress]: [ 144 / 315 ] simplifiying candidate # 92.567 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 92.567 * * [simplify]: iters left: 6 (16 enodes) 92.572 * * [simplify]: iters left: 5 (72 enodes) 92.590 * * [simplify]: iters left: 4 (135 enodes) 92.644 * * [simplify]: iters left: 3 (326 enodes) 92.836 * * [simplify]: Extracting #0: cost 1 inf + 0 92.836 * * [simplify]: Extracting #1: cost 36 inf + 0 92.837 * * [simplify]: Extracting #2: cost 158 inf + 1 92.838 * * [simplify]: Extracting #3: cost 225 inf + 534 92.844 * * [simplify]: Extracting #4: cost 211 inf + 6945 92.852 * * [simplify]: Extracting #5: cost 36 inf + 46280 92.865 * * [simplify]: Extracting #6: cost 0 inf + 57596 92.884 * * [simplify]: Extracting #7: cost 0 inf + 57595 92.909 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 92.909 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 92.909 * * * * [progress]: [ 145 / 315 ] simplifiying candidate # 92.910 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 92.910 * * [simplify]: iters left: 6 (16 enodes) 92.919 * * [simplify]: iters left: 5 (72 enodes) 92.942 * * [simplify]: iters left: 4 (135 enodes) 92.974 * * [simplify]: iters left: 3 (326 enodes) 93.098 * * [simplify]: Extracting #0: cost 1 inf + 0 93.098 * * [simplify]: Extracting #1: cost 36 inf + 0 93.099 * * [simplify]: Extracting #2: cost 158 inf + 1 93.099 * * [simplify]: Extracting #3: cost 225 inf + 534 93.102 * * [simplify]: Extracting #4: cost 211 inf + 6945 93.113 * * [simplify]: Extracting #5: cost 36 inf + 46280 93.125 * * [simplify]: Extracting #6: cost 0 inf + 57596 93.138 * * [simplify]: Extracting #7: cost 0 inf + 57595 93.153 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 93.153 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 93.153 * * * * [progress]: [ 146 / 315 ] simplifiying candidate # 93.153 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.153 * * [simplify]: iters left: 6 (16 enodes) 93.158 * * [simplify]: iters left: 5 (71 enodes) 93.170 * * [simplify]: iters left: 4 (127 enodes) 93.203 * * [simplify]: iters left: 3 (292 enodes) 93.298 * * [simplify]: Extracting #0: cost 1 inf + 0 93.298 * * [simplify]: Extracting #1: cost 40 inf + 0 93.299 * * [simplify]: Extracting #2: cost 203 inf + 1 93.300 * * [simplify]: Extracting #3: cost 295 inf + 76 93.302 * * [simplify]: Extracting #4: cost 257 inf + 5237 93.309 * * [simplify]: Extracting #5: cost 76 inf + 46933 93.334 * * [simplify]: Extracting #6: cost 2 inf + 70643 93.364 * * [simplify]: Extracting #7: cost 0 inf + 71251 93.389 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 93.389 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 93.389 * * * * [progress]: [ 147 / 315 ] simplifiying candidate # 93.390 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.390 * * [simplify]: iters left: 6 (15 enodes) 93.398 * * [simplify]: iters left: 5 (65 enodes) 93.409 * * [simplify]: iters left: 4 (104 enodes) 93.427 * * [simplify]: iters left: 3 (191 enodes) 93.479 * * [simplify]: Extracting #0: cost 1 inf + 0 93.479 * * [simplify]: Extracting #1: cost 7 inf + 0 93.479 * * [simplify]: Extracting #2: cost 80 inf + 1 93.480 * * [simplify]: Extracting #3: cost 157 inf + 3 93.481 * * [simplify]: Extracting #4: cost 191 inf + 314 93.484 * * [simplify]: Extracting #5: cost 127 inf + 11917 93.494 * * [simplify]: Extracting #6: cost 30 inf + 35082 93.506 * * [simplify]: Extracting #7: cost 0 inf + 47065 93.513 * * [simplify]: Extracting #8: cost 0 inf + 46545 93.520 * [simplify]: Simplified to (- (- (log (sqrt k)) (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2))) 93.520 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2))))) 93.521 * * * * [progress]: [ 148 / 315 ] simplifiying candidate # 93.521 * * * * [progress]: [ 149 / 315 ] simplifiying candidate # 93.521 * * * * [progress]: [ 150 / 315 ] simplifiying candidate # 93.521 * [simplify]: Simplifying (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.521 * * [simplify]: iters left: 6 (19 enodes) 93.526 * * [simplify]: iters left: 5 (79 enodes) 93.546 * * [simplify]: iters left: 4 (195 enodes) 93.634 * * [simplify]: Extracting #0: cost 1 inf + 0 93.634 * * [simplify]: Extracting #1: cost 50 inf + 0 93.635 * * [simplify]: Extracting #2: cost 125 inf + 124 93.635 * * [simplify]: Extracting #3: cost 159 inf + 617 93.636 * * [simplify]: Extracting #4: cost 159 inf + 955 93.640 * * [simplify]: Extracting #5: cost 87 inf + 28563 93.656 * * [simplify]: Extracting #6: cost 14 inf + 69758 93.681 * * [simplify]: Extracting #7: cost 0 inf + 79678 93.693 * [simplify]: Simplified to (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* k (sqrt k))) 93.693 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* k (sqrt k))))) 93.693 * * * * [progress]: [ 151 / 315 ] simplifiying candidate # 93.693 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.693 * * [simplify]: iters left: 6 (17 enodes) 93.698 * * [simplify]: iters left: 5 (74 enodes) 93.712 * * [simplify]: iters left: 4 (166 enodes) 93.780 * * [simplify]: iters left: 3 (448 enodes) 94.215 * * [simplify]: Extracting #0: cost 1 inf + 0 94.215 * * [simplify]: Extracting #1: cost 70 inf + 0 94.217 * * [simplify]: Extracting #2: cost 345 inf + 1 94.221 * * [simplify]: Extracting #3: cost 425 inf + 331 94.233 * * [simplify]: Extracting #4: cost 343 inf + 37653 94.279 * * [simplify]: Extracting #5: cost 156 inf + 150291 94.364 * * [simplify]: Extracting #6: cost 15 inf + 270876 94.460 * * [simplify]: Extracting #7: cost 0 inf + 280387 94.558 * * [simplify]: Extracting #8: cost 0 inf + 278795 94.644 * * [simplify]: Extracting #9: cost 0 inf + 278282 94.707 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 94.707 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))) 94.707 * * * * [progress]: [ 152 / 315 ] simplifiying candidate # 94.707 * * * * [progress]: [ 153 / 315 ] simplifiying candidate # 94.707 * * * * [progress]: [ 154 / 315 ] simplifiying candidate # 94.707 * * * * [progress]: [ 155 / 315 ] simplifiying candidate # 94.707 * * * * [progress]: [ 156 / 315 ] simplifiying candidate # 94.708 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 94.708 * * [simplify]: iters left: 6 (17 enodes) 94.714 * * [simplify]: iters left: 5 (72 enodes) 94.732 * * [simplify]: iters left: 4 (117 enodes) 94.763 * * [simplify]: iters left: 3 (190 enodes) 94.796 * * [simplify]: iters left: 2 (287 enodes) 94.850 * * [simplify]: iters left: 1 (452 enodes) 94.982 * * [simplify]: Extracting #0: cost 1 inf + 0 94.982 * * [simplify]: Extracting #1: cost 6 inf + 0 94.982 * * [simplify]: Extracting #2: cost 9 inf + 1 94.982 * * [simplify]: Extracting #3: cost 14 inf + 1 94.982 * * [simplify]: Extracting #4: cost 44 inf + 1 94.983 * * [simplify]: Extracting #5: cost 127 inf + 44 94.984 * * [simplify]: Extracting #6: cost 173 inf + 925 94.988 * * [simplify]: Extracting #7: cost 94 inf + 19256 95.004 * * [simplify]: Extracting #8: cost 19 inf + 59502 95.027 * * [simplify]: Extracting #9: cost 1 inf + 72528 95.050 * * [simplify]: Extracting #10: cost 0 inf + 73131 95.072 * * [simplify]: Extracting #11: cost 0 inf + 72720 95.089 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) 95.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 95.089 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 95.089 * * [simplify]: iters left: 6 (15 enodes) 95.094 * * [simplify]: iters left: 5 (60 enodes) 95.104 * * [simplify]: iters left: 4 (91 enodes) 95.125 * * [simplify]: iters left: 3 (133 enodes) 95.160 * * [simplify]: iters left: 2 (225 enodes) 95.231 * * [simplify]: iters left: 1 (398 enodes) 95.389 * * [simplify]: Extracting #0: cost 1 inf + 0 95.389 * * [simplify]: Extracting #1: cost 4 inf + 0 95.389 * * [simplify]: Extracting #2: cost 5 inf + 1 95.389 * * [simplify]: Extracting #3: cost 10 inf + 1 95.389 * * [simplify]: Extracting #4: cost 43 inf + 1 95.390 * * [simplify]: Extracting #5: cost 128 inf + 85 95.391 * * [simplify]: Extracting #6: cost 175 inf + 757 95.397 * * [simplify]: Extracting #7: cost 109 inf + 16812 95.737 * * [simplify]: Extracting #8: cost 14 inf + 63749 95.755 * * [simplify]: Extracting #9: cost 0 inf + 72534 95.769 * * [simplify]: Extracting #10: cost 0 inf + 71970 95.790 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 95.790 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 95.790 * * * * [progress]: [ 157 / 315 ] simplifiying candidate # 95.791 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 95.791 * * [simplify]: iters left: 6 (16 enodes) 95.800 * * [simplify]: iters left: 5 (65 enodes) 95.821 * * [simplify]: iters left: 4 (96 enodes) 95.849 * * [simplify]: iters left: 3 (138 enodes) 95.898 * * [simplify]: iters left: 2 (230 enodes) 95.942 * * [simplify]: iters left: 1 (403 enodes) 96.053 * * [simplify]: Extracting #0: cost 1 inf + 0 96.053 * * [simplify]: Extracting #1: cost 4 inf + 0 96.053 * * [simplify]: Extracting #2: cost 5 inf + 1 96.053 * * [simplify]: Extracting #3: cost 10 inf + 1 96.054 * * [simplify]: Extracting #4: cost 42 inf + 1 96.054 * * [simplify]: Extracting #5: cost 125 inf + 85 96.055 * * [simplify]: Extracting #6: cost 161 inf + 716 96.060 * * [simplify]: Extracting #7: cost 96 inf + 15242 96.070 * * [simplify]: Extracting #8: cost 46 inf + 40496 96.089 * * [simplify]: Extracting #9: cost 7 inf + 70905 96.101 * * [simplify]: Extracting #10: cost 0 inf + 75775 96.112 * * [simplify]: Extracting #11: cost 0 inf + 74802 96.126 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 96.126 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 96.126 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 96.126 * * [simplify]: iters left: 6 (15 enodes) 96.131 * * [simplify]: iters left: 5 (60 enodes) 96.141 * * [simplify]: iters left: 4 (91 enodes) 96.158 * * [simplify]: iters left: 3 (133 enodes) 96.192 * * [simplify]: iters left: 2 (225 enodes) 96.242 * * [simplify]: iters left: 1 (398 enodes) 96.390 * * [simplify]: Extracting #0: cost 1 inf + 0 96.390 * * [simplify]: Extracting #1: cost 4 inf + 0 96.390 * * [simplify]: Extracting #2: cost 5 inf + 1 96.390 * * [simplify]: Extracting #3: cost 10 inf + 1 96.390 * * [simplify]: Extracting #4: cost 43 inf + 1 96.391 * * [simplify]: Extracting #5: cost 128 inf + 85 96.392 * * [simplify]: Extracting #6: cost 175 inf + 757 96.397 * * [simplify]: Extracting #7: cost 109 inf + 16812 96.417 * * [simplify]: Extracting #8: cost 14 inf + 63629 96.430 * * [simplify]: Extracting #9: cost 0 inf + 72374 96.445 * * [simplify]: Extracting #10: cost 0 inf + 71810 96.471 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 96.472 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 96.472 * * * * [progress]: [ 158 / 315 ] simplifiying candidate # 96.472 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 96.472 * * [simplify]: iters left: 6 (14 enodes) 96.477 * * [simplify]: iters left: 5 (59 enodes) 96.488 * * [simplify]: iters left: 4 (105 enodes) 96.509 * * [simplify]: iters left: 3 (212 enodes) 96.604 * * [simplify]: Extracting #0: cost 1 inf + 0 96.604 * * [simplify]: Extracting #1: cost 42 inf + 0 96.604 * * [simplify]: Extracting #2: cost 117 inf + 1 96.605 * * [simplify]: Extracting #3: cost 145 inf + 3 96.605 * * [simplify]: Extracting #4: cost 137 inf + 739 96.607 * * [simplify]: Extracting #5: cost 79 inf + 14616 96.614 * * [simplify]: Extracting #6: cost 18 inf + 44395 96.629 * * [simplify]: Extracting #7: cost 0 inf + 57179 96.644 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 96.645 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 96.645 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 96.645 * * [simplify]: iters left: 6 (13 enodes) 96.653 * * [simplify]: iters left: 5 (53 enodes) 96.670 * * [simplify]: iters left: 4 (89 enodes) 96.689 * * [simplify]: iters left: 3 (146 enodes) 96.721 * * [simplify]: iters left: 2 (298 enodes) 96.829 * * [simplify]: Extracting #0: cost 1 inf + 0 96.829 * * [simplify]: Extracting #1: cost 45 inf + 0 96.830 * * [simplify]: Extracting #2: cost 125 inf + 1 96.831 * * [simplify]: Extracting #3: cost 170 inf + 3 96.832 * * [simplify]: Extracting #4: cost 162 inf + 836 96.836 * * [simplify]: Extracting #5: cost 119 inf + 7078 96.846 * * [simplify]: Extracting #6: cost 55 inf + 42982 96.862 * * [simplify]: Extracting #7: cost 2 inf + 84384 96.874 * * [simplify]: Extracting #8: cost 0 inf + 84317 96.885 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 96.885 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 96.886 * * * * [progress]: [ 159 / 315 ] simplifiying candidate # 96.886 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 96.886 * * [simplify]: iters left: 6 (19 enodes) 96.901 * * [simplify]: iters left: 5 (82 enodes) 96.930 * * [simplify]: iters left: 4 (145 enodes) 96.969 * * [simplify]: iters left: 3 (243 enodes) 97.053 * * [simplify]: iters left: 2 (423 enodes) 97.222 * * [simplify]: Extracting #0: cost 1 inf + 0 97.222 * * [simplify]: Extracting #1: cost 18 inf + 0 97.223 * * [simplify]: Extracting #2: cost 33 inf + 1 97.223 * * [simplify]: Extracting #3: cost 47 inf + 1 97.224 * * [simplify]: Extracting #4: cost 88 inf + 286 97.225 * * [simplify]: Extracting #5: cost 107 inf + 2157 97.230 * * [simplify]: Extracting #6: cost 55 inf + 16550 97.242 * * [simplify]: Extracting #7: cost 3 inf + 39495 97.255 * * [simplify]: Extracting #8: cost 0 inf + 40137 97.262 * * [simplify]: Extracting #9: cost 0 inf + 39955 97.269 * [simplify]: Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 97.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 97.269 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.269 * * [simplify]: iters left: 6 (16 enodes) 97.274 * * [simplify]: iters left: 5 (65 enodes) 97.285 * * [simplify]: iters left: 4 (101 enodes) 97.310 * * [simplify]: iters left: 3 (145 enodes) 97.336 * * [simplify]: iters left: 2 (246 enodes) 97.400 * * [simplify]: iters left: 1 (410 enodes) 97.559 * * [simplify]: Extracting #0: cost 1 inf + 0 97.559 * * [simplify]: Extracting #1: cost 7 inf + 0 97.559 * * [simplify]: Extracting #2: cost 12 inf + 1 97.560 * * [simplify]: Extracting #3: cost 37 inf + 1 97.560 * * [simplify]: Extracting #4: cost 101 inf + 327 97.562 * * [simplify]: Extracting #5: cost 141 inf + 1238 97.567 * * [simplify]: Extracting #6: cost 75 inf + 18710 97.585 * * [simplify]: Extracting #7: cost 4 inf + 55862 97.604 * * [simplify]: Extracting #8: cost 0 inf + 57604 97.623 * * [simplify]: Extracting #9: cost 0 inf + 57484 97.646 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 97.646 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 97.646 * * * * [progress]: [ 160 / 315 ] simplifiying candidate # 97.646 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.647 * * [simplify]: iters left: 6 (18 enodes) 97.657 * * [simplify]: iters left: 5 (75 enodes) 97.682 * * [simplify]: iters left: 4 (119 enodes) 97.720 * * [simplify]: iters left: 3 (198 enodes) 97.779 * * [simplify]: iters left: 2 (353 enodes) 97.888 * * [simplify]: Extracting #0: cost 1 inf + 0 97.888 * * [simplify]: Extracting #1: cost 15 inf + 0 97.888 * * [simplify]: Extracting #2: cost 26 inf + 1 97.889 * * [simplify]: Extracting #3: cost 45 inf + 1 97.889 * * [simplify]: Extracting #4: cost 93 inf + 811 97.891 * * [simplify]: Extracting #5: cost 104 inf + 2081 97.895 * * [simplify]: Extracting #6: cost 51 inf + 11492 97.903 * * [simplify]: Extracting #7: cost 9 inf + 27770 97.914 * * [simplify]: Extracting #8: cost 0 inf + 34926 97.925 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 97.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 97.926 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.926 * * [simplify]: iters left: 6 (16 enodes) 97.935 * * [simplify]: iters left: 5 (65 enodes) 97.949 * * [simplify]: iters left: 4 (102 enodes) 97.965 * * [simplify]: iters left: 3 (146 enodes) 97.993 * * [simplify]: iters left: 2 (248 enodes) 98.036 * * [simplify]: iters left: 1 (406 enodes) 98.127 * * [simplify]: Extracting #0: cost 1 inf + 0 98.127 * * [simplify]: Extracting #1: cost 7 inf + 0 98.127 * * [simplify]: Extracting #2: cost 13 inf + 1 98.127 * * [simplify]: Extracting #3: cost 45 inf + 1 98.128 * * [simplify]: Extracting #4: cost 120 inf + 327 98.129 * * [simplify]: Extracting #5: cost 138 inf + 1611 98.130 * * [simplify]: Extracting #6: cost 95 inf + 7081 98.135 * * [simplify]: Extracting #7: cost 31 inf + 37776 98.144 * * [simplify]: Extracting #8: cost 0 inf + 64330 98.154 * * [simplify]: Extracting #9: cost 0 inf + 63753 98.164 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) 98.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 98.164 * * * * [progress]: [ 161 / 315 ] simplifiying candidate # 98.164 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 98.164 * * [simplify]: iters left: 6 (9 enodes) 98.167 * * [simplify]: iters left: 5 (33 enodes) 98.173 * * [simplify]: iters left: 4 (60 enodes) 98.182 * * [simplify]: iters left: 3 (102 enodes) 98.203 * * [simplify]: iters left: 2 (105 enodes) 98.210 * * [simplify]: Extracting #0: cost 1 inf + 0 98.210 * * [simplify]: Extracting #1: cost 6 inf + 0 98.210 * * [simplify]: Extracting #2: cost 9 inf + 1 98.210 * * [simplify]: Extracting #3: cost 11 inf + 1 98.210 * * [simplify]: Extracting #4: cost 2 inf + 1053 98.211 * * [simplify]: Extracting #5: cost 0 inf + 1376 98.211 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 98.211 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 98.211 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 98.211 * * [simplify]: iters left: 6 (15 enodes) 98.216 * * [simplify]: iters left: 5 (62 enodes) 98.227 * * [simplify]: iters left: 4 (102 enodes) 98.258 * * [simplify]: iters left: 3 (166 enodes) 98.298 * * [simplify]: iters left: 2 (338 enodes) 98.410 * * [simplify]: Extracting #0: cost 1 inf + 0 98.411 * * [simplify]: Extracting #1: cost 57 inf + 0 98.411 * * [simplify]: Extracting #2: cost 141 inf + 1 98.413 * * [simplify]: Extracting #3: cost 188 inf + 3 98.415 * * [simplify]: Extracting #4: cost 168 inf + 3856 98.420 * * [simplify]: Extracting #5: cost 119 inf + 16285 98.440 * * [simplify]: Extracting #6: cost 18 inf + 82990 98.470 * * [simplify]: Extracting #7: cost 1 inf + 96593 98.497 * * [simplify]: Extracting #8: cost 0 inf + 96998 98.515 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 98.515 * [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))))) 98.515 * * * * [progress]: [ 162 / 315 ] simplifiying candidate # 98.515 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 98.515 * * [simplify]: iters left: 6 (18 enodes) 98.522 * * [simplify]: iters left: 5 (78 enodes) 98.548 * * [simplify]: iters left: 4 (135 enodes) 98.598 * * [simplify]: iters left: 3 (266 enodes) 98.723 * * [simplify]: Extracting #0: cost 1 inf + 0 98.723 * * [simplify]: Extracting #1: cost 43 inf + 0 98.724 * * [simplify]: Extracting #2: cost 117 inf + 1 98.724 * * [simplify]: Extracting #3: cost 161 inf + 2 98.726 * * [simplify]: Extracting #4: cost 163 inf + 539 98.728 * * [simplify]: Extracting #5: cost 119 inf + 4966 98.734 * * [simplify]: Extracting #6: cost 71 inf + 18367 98.748 * * [simplify]: Extracting #7: cost 16 inf + 53120 98.767 * * [simplify]: Extracting #8: cost 0 inf + 65353 98.787 * [simplify]: Simplified to (/ (pow (* 2 (* PI n)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 98.787 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* PI n)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 98.787 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 98.787 * * [simplify]: iters left: 6 (16 enodes) 98.797 * * [simplify]: iters left: 5 (68 enodes) 98.820 * * [simplify]: iters left: 4 (115 enodes) 98.864 * * [simplify]: iters left: 3 (196 enodes) 98.910 * * [simplify]: iters left: 2 (402 enodes) 99.074 * * [simplify]: Extracting #0: cost 1 inf + 0 99.074 * * [simplify]: Extracting #1: cost 47 inf + 0 99.075 * * [simplify]: Extracting #2: cost 129 inf + 1 99.075 * * [simplify]: Extracting #3: cost 189 inf + 3 99.076 * * [simplify]: Extracting #4: cost 186 inf + 1047 99.079 * * [simplify]: Extracting #5: cost 123 inf + 18077 99.091 * * [simplify]: Extracting #6: cost 26 inf + 74485 99.118 * * [simplify]: Extracting #7: cost 0 inf + 93010 99.145 * * [simplify]: Extracting #8: cost 0 inf + 92628 99.166 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 99.166 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 99.166 * * * * [progress]: [ 163 / 315 ] simplifiying candidate # 99.166 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 99.166 * * [simplify]: iters left: 6 (14 enodes) 99.171 * * [simplify]: iters left: 5 (58 enodes) 99.181 * * [simplify]: iters left: 4 (90 enodes) 99.211 * * [simplify]: iters left: 3 (150 enodes) 99.248 * * [simplify]: iters left: 2 (312 enodes) 99.367 * * [simplify]: Extracting #0: cost 1 inf + 0 99.367 * * [simplify]: Extracting #1: cost 47 inf + 0 99.368 * * [simplify]: Extracting #2: cost 129 inf + 1 99.369 * * [simplify]: Extracting #3: cost 178 inf + 4 99.370 * * [simplify]: Extracting #4: cost 176 inf + 581 99.373 * * [simplify]: Extracting #5: cost 124 inf + 11804 99.386 * * [simplify]: Extracting #6: cost 43 inf + 54509 99.407 * * [simplify]: Extracting #7: cost 0 inf + 86943 99.428 * * [simplify]: Extracting #8: cost 0 inf + 85633 99.449 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 99.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 99.450 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 99.450 * * [simplify]: iters left: 6 (13 enodes) 99.458 * * [simplify]: iters left: 5 (53 enodes) 99.476 * * [simplify]: iters left: 4 (89 enodes) 99.507 * * [simplify]: iters left: 3 (146 enodes) 99.554 * * [simplify]: iters left: 2 (298 enodes) 99.659 * * [simplify]: Extracting #0: cost 1 inf + 0 99.659 * * [simplify]: Extracting #1: cost 45 inf + 0 99.660 * * [simplify]: Extracting #2: cost 125 inf + 1 99.661 * * [simplify]: Extracting #3: cost 170 inf + 3 99.663 * * [simplify]: Extracting #4: cost 162 inf + 876 99.666 * * [simplify]: Extracting #5: cost 119 inf + 7158 99.677 * * [simplify]: Extracting #6: cost 55 inf + 43062 99.693 * * [simplify]: Extracting #7: cost 2 inf + 84464 99.705 * * [simplify]: Extracting #8: cost 0 inf + 84397 99.722 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 99.722 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 99.723 * * * * [progress]: [ 164 / 315 ] simplifiying candidate # 99.723 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 99.723 * * [simplify]: iters left: 6 (19 enodes) 99.734 * * [simplify]: iters left: 5 (79 enodes) 99.750 * * [simplify]: iters left: 4 (117 enodes) 99.770 * * [simplify]: iters left: 3 (174 enodes) 99.816 * * [simplify]: iters left: 2 (280 enodes) 99.898 * * [simplify]: iters left: 1 (446 enodes) 100.060 * * [simplify]: Extracting #0: cost 1 inf + 0 100.060 * * [simplify]: Extracting #1: cost 10 inf + 0 100.060 * * [simplify]: Extracting #2: cost 19 inf + 1 100.060 * * [simplify]: Extracting #3: cost 47 inf + 1 100.061 * * [simplify]: Extracting #4: cost 112 inf + 973 100.063 * * [simplify]: Extracting #5: cost 168 inf + 1394 100.067 * * [simplify]: Extracting #6: cost 106 inf + 8943 100.078 * * [simplify]: Extracting #7: cost 39 inf + 35770 100.098 * * [simplify]: Extracting #8: cost 3 inf + 68060 100.122 * * [simplify]: Extracting #9: cost 0 inf + 69967 100.132 * * [simplify]: Extracting #10: cost 0 inf + 69757 100.142 * * [simplify]: Extracting #11: cost 0 inf + 69547 100.153 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) 100.153 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 100.153 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.153 * * [simplify]: iters left: 6 (16 enodes) 100.162 * * [simplify]: iters left: 5 (65 enodes) 100.174 * * [simplify]: iters left: 4 (101 enodes) 100.189 * * [simplify]: iters left: 3 (145 enodes) 100.242 * * [simplify]: iters left: 2 (246 enodes) 100.330 * * [simplify]: iters left: 1 (410 enodes) 100.468 * * [simplify]: Extracting #0: cost 1 inf + 0 100.468 * * [simplify]: Extracting #1: cost 7 inf + 0 100.468 * * [simplify]: Extracting #2: cost 12 inf + 1 100.468 * * [simplify]: Extracting #3: cost 37 inf + 1 100.469 * * [simplify]: Extracting #4: cost 101 inf + 407 100.470 * * [simplify]: Extracting #5: cost 141 inf + 1318 100.476 * * [simplify]: Extracting #6: cost 75 inf + 18790 100.493 * * [simplify]: Extracting #7: cost 4 inf + 55942 100.513 * * [simplify]: Extracting #8: cost 0 inf + 57684 100.531 * * [simplify]: Extracting #9: cost 0 inf + 57564 100.550 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 100.550 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 100.550 * * * * [progress]: [ 165 / 315 ] simplifiying candidate # 100.551 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.551 * * [simplify]: iters left: 6 (18 enodes) 100.562 * * [simplify]: iters left: 5 (74 enodes) 100.591 * * [simplify]: iters left: 4 (111 enodes) 100.625 * * [simplify]: iters left: 3 (160 enodes) 100.679 * * [simplify]: iters left: 2 (258 enodes) 100.750 * * [simplify]: iters left: 1 (428 enodes) 100.905 * * [simplify]: Extracting #0: cost 1 inf + 0 100.905 * * [simplify]: Extracting #1: cost 7 inf + 0 100.905 * * [simplify]: Extracting #2: cost 14 inf + 1 100.905 * * [simplify]: Extracting #3: cost 42 inf + 1 100.910 * * [simplify]: Extracting #4: cost 124 inf + 286 100.912 * * [simplify]: Extracting #5: cost 162 inf + 703 100.915 * * [simplify]: Extracting #6: cost 104 inf + 6577 100.925 * * [simplify]: Extracting #7: cost 42 inf + 31979 100.942 * * [simplify]: Extracting #8: cost 5 inf + 60359 100.961 * * [simplify]: Extracting #9: cost 0 inf + 62343 100.974 * * [simplify]: Extracting #10: cost 0 inf + 61757 100.985 * [simplify]: Simplified to (/ (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4)))) (fabs (cbrt k))) 100.985 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4)))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 100.985 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.985 * * [simplify]: iters left: 6 (16 enodes) 100.990 * * [simplify]: iters left: 5 (65 enodes) 101.000 * * [simplify]: iters left: 4 (102 enodes) 101.017 * * [simplify]: iters left: 3 (146 enodes) 101.043 * * [simplify]: iters left: 2 (248 enodes) 101.102 * * [simplify]: iters left: 1 (406 enodes) 101.266 * * [simplify]: Extracting #0: cost 1 inf + 0 101.267 * * [simplify]: Extracting #1: cost 7 inf + 0 101.267 * * [simplify]: Extracting #2: cost 13 inf + 1 101.267 * * [simplify]: Extracting #3: cost 45 inf + 1 101.267 * * [simplify]: Extracting #4: cost 120 inf + 407 101.268 * * [simplify]: Extracting #5: cost 138 inf + 1691 101.270 * * [simplify]: Extracting #6: cost 95 inf + 7161 101.275 * * [simplify]: Extracting #7: cost 31 inf + 37856 101.284 * * [simplify]: Extracting #8: cost 0 inf + 64410 101.299 * * [simplify]: Extracting #9: cost 0 inf + 63833 101.309 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))) 101.309 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 101.309 * * * * [progress]: [ 166 / 315 ] simplifiying candidate # 101.309 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 101.309 * * [simplify]: iters left: 6 (9 enodes) 101.312 * * [simplify]: iters left: 5 (31 enodes) 101.317 * * [simplify]: iters left: 4 (34 enodes) 101.322 * * [simplify]: Extracting #0: cost 1 inf + 0 101.322 * * [simplify]: Extracting #1: cost 4 inf + 0 101.322 * * [simplify]: Extracting #2: cost 6 inf + 1 101.322 * * [simplify]: Extracting #3: cost 9 inf + 1 101.322 * * [simplify]: Extracting #4: cost 0 inf + 972 101.322 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 101.323 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 101.325 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 101.326 * * [simplify]: iters left: 6 (15 enodes) 101.330 * * [simplify]: iters left: 5 (62 enodes) 101.341 * * [simplify]: iters left: 4 (102 enodes) 101.358 * * [simplify]: iters left: 3 (166 enodes) 101.427 * * [simplify]: iters left: 2 (338 enodes) 101.560 * * [simplify]: Extracting #0: cost 1 inf + 0 101.560 * * [simplify]: Extracting #1: cost 57 inf + 0 101.561 * * [simplify]: Extracting #2: cost 141 inf + 1 101.562 * * [simplify]: Extracting #3: cost 188 inf + 3 101.563 * * [simplify]: Extracting #4: cost 168 inf + 3936 101.566 * * [simplify]: Extracting #5: cost 119 inf + 16365 101.580 * * [simplify]: Extracting #6: cost 18 inf + 83070 101.602 * * [simplify]: Extracting #7: cost 1 inf + 96673 101.628 * * [simplify]: Extracting #8: cost 0 inf + 97078 101.644 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 101.644 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 101.644 * * * * [progress]: [ 167 / 315 ] simplifiying candidate # 101.644 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 101.644 * * [simplify]: iters left: 6 (18 enodes) 101.650 * * [simplify]: iters left: 5 (77 enodes) 101.664 * * [simplify]: iters left: 4 (121 enodes) 101.683 * * [simplify]: iters left: 3 (197 enodes) 101.761 * * [simplify]: iters left: 2 (377 enodes) 101.880 * * [simplify]: Extracting #0: cost 1 inf + 0 101.880 * * [simplify]: Extracting #1: cost 48 inf + 0 101.881 * * [simplify]: Extracting #2: cost 132 inf + 1 101.881 * * [simplify]: Extracting #3: cost 196 inf + 3 101.882 * * [simplify]: Extracting #4: cost 185 inf + 3235 101.886 * * [simplify]: Extracting #5: cost 108 inf + 25362 101.897 * * [simplify]: Extracting #6: cost 21 inf + 83233 101.920 * * [simplify]: Extracting #7: cost 0 inf + 100146 101.935 * * [simplify]: Extracting #8: cost 0 inf + 99462 101.950 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) 101.950 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 101.950 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 101.950 * * [simplify]: iters left: 6 (16 enodes) 101.959 * * [simplify]: iters left: 5 (68 enodes) 101.981 * * [simplify]: iters left: 4 (115 enodes) 102.019 * * [simplify]: iters left: 3 (196 enodes) 102.069 * * [simplify]: iters left: 2 (402 enodes) 102.204 * * [simplify]: Extracting #0: cost 1 inf + 0 102.204 * * [simplify]: Extracting #1: cost 47 inf + 0 102.204 * * [simplify]: Extracting #2: cost 129 inf + 1 102.205 * * [simplify]: Extracting #3: cost 189 inf + 3 102.206 * * [simplify]: Extracting #4: cost 186 inf + 1127 102.208 * * [simplify]: Extracting #5: cost 123 inf + 18157 102.218 * * [simplify]: Extracting #6: cost 26 inf + 74565 102.231 * * [simplify]: Extracting #7: cost 0 inf + 93090 102.245 * * [simplify]: Extracting #8: cost 0 inf + 92708 102.263 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 102.263 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 102.263 * * * * [progress]: [ 168 / 315 ] simplifiying candidate # 102.263 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 102.264 * * [simplify]: iters left: 6 (13 enodes) 102.271 * * [simplify]: iters left: 5 (54 enodes) 102.293 * * [simplify]: iters left: 4 (90 enodes) 102.323 * * [simplify]: iters left: 3 (152 enodes) 102.381 * * [simplify]: iters left: 2 (297 enodes) 102.522 * * [simplify]: Extracting #0: cost 1 inf + 0 102.522 * * [simplify]: Extracting #1: cost 46 inf + 0 102.523 * * [simplify]: Extracting #2: cost 127 inf + 1 102.524 * * [simplify]: Extracting #3: cost 168 inf + 4 102.525 * * [simplify]: Extracting #4: cost 167 inf + 379 102.528 * * [simplify]: Extracting #5: cost 130 inf + 5609 102.535 * * [simplify]: Extracting #6: cost 70 inf + 28183 102.555 * * [simplify]: Extracting #7: cost 6 inf + 71892 102.574 * * [simplify]: Extracting #8: cost 0 inf + 76311 102.594 * * [simplify]: Extracting #9: cost 0 inf + 75889 102.615 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 102.615 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 102.615 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 102.616 * * [simplify]: iters left: 6 (13 enodes) 102.624 * * [simplify]: iters left: 5 (53 enodes) 102.640 * * [simplify]: iters left: 4 (89 enodes) 102.656 * * [simplify]: iters left: 3 (146 enodes) 102.706 * * [simplify]: iters left: 2 (298 enodes) 102.838 * * [simplify]: Extracting #0: cost 1 inf + 0 102.838 * * [simplify]: Extracting #1: cost 45 inf + 0 102.839 * * [simplify]: Extracting #2: cost 125 inf + 1 102.839 * * [simplify]: Extracting #3: cost 170 inf + 3 102.840 * * [simplify]: Extracting #4: cost 162 inf + 756 102.841 * * [simplify]: Extracting #5: cost 119 inf + 6798 102.846 * * [simplify]: Extracting #6: cost 55 inf + 41462 102.857 * * [simplify]: Extracting #7: cost 2 inf + 81304 102.879 * * [simplify]: Extracting #8: cost 0 inf + 81157 102.894 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 102.894 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 102.894 * * * * [progress]: [ 169 / 315 ] simplifiying candidate # 102.894 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 102.894 * * [simplify]: iters left: 6 (18 enodes) 102.900 * * [simplify]: iters left: 5 (75 enodes) 102.913 * * [simplify]: iters left: 4 (113 enodes) 102.948 * * [simplify]: iters left: 3 (170 enodes) 102.999 * * [simplify]: iters left: 2 (279 enodes) 103.089 * * [simplify]: iters left: 1 (453 enodes) 103.234 * * [simplify]: Extracting #0: cost 1 inf + 0 103.234 * * [simplify]: Extracting #1: cost 10 inf + 0 103.235 * * [simplify]: Extracting #2: cost 18 inf + 1 103.235 * * [simplify]: Extracting #3: cost 44 inf + 1 103.236 * * [simplify]: Extracting #4: cost 108 inf + 328 103.237 * * [simplify]: Extracting #5: cost 153 inf + 1162 103.240 * * [simplify]: Extracting #6: cost 89 inf + 12166 103.246 * * [simplify]: Extracting #7: cost 26 inf + 41321 103.256 * * [simplify]: Extracting #8: cost 1 inf + 63695 103.266 * * [simplify]: Extracting #9: cost 0 inf + 64745 103.286 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 103.286 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 103.287 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.287 * * [simplify]: iters left: 6 (16 enodes) 103.300 * * [simplify]: iters left: 5 (65 enodes) 103.321 * * [simplify]: iters left: 4 (101 enodes) 103.338 * * [simplify]: iters left: 3 (145 enodes) 103.372 * * [simplify]: iters left: 2 (246 enodes) 103.426 * * [simplify]: iters left: 1 (410 enodes) 103.553 * * [simplify]: Extracting #0: cost 1 inf + 0 103.553 * * [simplify]: Extracting #1: cost 7 inf + 0 103.553 * * [simplify]: Extracting #2: cost 12 inf + 1 103.553 * * [simplify]: Extracting #3: cost 37 inf + 1 103.554 * * [simplify]: Extracting #4: cost 101 inf + 247 103.554 * * [simplify]: Extracting #5: cost 141 inf + 1078 103.557 * * [simplify]: Extracting #6: cost 75 inf + 18550 103.566 * * [simplify]: Extracting #7: cost 4 inf + 55542 103.579 * * [simplify]: Extracting #8: cost 0 inf + 57284 103.591 * * [simplify]: Extracting #9: cost 0 inf + 57164 103.610 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 103.610 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 103.610 * * * * [progress]: [ 170 / 315 ] simplifiying candidate # 103.610 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.610 * * [simplify]: iters left: 6 (17 enodes) 103.621 * * [simplify]: iters left: 5 (70 enodes) 103.634 * * [simplify]: iters left: 4 (107 enodes) 103.651 * * [simplify]: iters left: 3 (156 enodes) 103.691 * * [simplify]: iters left: 2 (251 enodes) 103.743 * * [simplify]: iters left: 1 (410 enodes) 103.869 * * [simplify]: Extracting #0: cost 1 inf + 0 103.869 * * [simplify]: Extracting #1: cost 7 inf + 0 103.869 * * [simplify]: Extracting #2: cost 13 inf + 1 103.869 * * [simplify]: Extracting #3: cost 42 inf + 1 103.869 * * [simplify]: Extracting #4: cost 120 inf + 125 103.870 * * [simplify]: Extracting #5: cost 152 inf + 749 103.874 * * [simplify]: Extracting #6: cost 109 inf + 5095 103.879 * * [simplify]: Extracting #7: cost 66 inf + 13060 103.884 * * [simplify]: Extracting #8: cost 31 inf + 36513 103.895 * * [simplify]: Extracting #9: cost 1 inf + 62641 103.906 * * [simplify]: Extracting #10: cost 0 inf + 62101 103.927 * * [simplify]: Extracting #11: cost 0 inf + 61850 103.949 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 103.949 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 103.949 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.950 * * [simplify]: iters left: 6 (16 enodes) 103.963 * * [simplify]: iters left: 5 (65 enodes) 103.984 * * [simplify]: iters left: 4 (102 enodes) 104.004 * * [simplify]: iters left: 3 (146 enodes) 104.039 * * [simplify]: iters left: 2 (248 enodes) 104.099 * * [simplify]: iters left: 1 (406 enodes) 104.207 * * [simplify]: Extracting #0: cost 1 inf + 0 104.207 * * [simplify]: Extracting #1: cost 7 inf + 0 104.207 * * [simplify]: Extracting #2: cost 13 inf + 1 104.207 * * [simplify]: Extracting #3: cost 45 inf + 1 104.208 * * [simplify]: Extracting #4: cost 120 inf + 247 104.208 * * [simplify]: Extracting #5: cost 138 inf + 1451 104.210 * * [simplify]: Extracting #6: cost 95 inf + 6921 104.215 * * [simplify]: Extracting #7: cost 31 inf + 37456 104.230 * * [simplify]: Extracting #8: cost 0 inf + 64010 104.252 * * [simplify]: Extracting #9: cost 0 inf + 63433 104.263 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 104.263 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 104.263 * * * * [progress]: [ 171 / 315 ] simplifiying candidate # 104.263 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 104.263 * * [simplify]: iters left: 6 (8 enodes) 104.266 * * [simplify]: iters left: 5 (28 enodes) 104.270 * * [simplify]: iters left: 4 (30 enodes) 104.274 * * [simplify]: Extracting #0: cost 1 inf + 0 104.274 * * [simplify]: Extracting #1: cost 4 inf + 0 104.274 * * [simplify]: Extracting #2: cost 5 inf + 1 104.274 * * [simplify]: Extracting #3: cost 7 inf + 1 104.275 * * [simplify]: Extracting #4: cost 3 inf + 165 104.275 * * [simplify]: Extracting #5: cost 0 inf + 490 104.275 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 104.275 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 104.275 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 104.275 * * [simplify]: iters left: 6 (15 enodes) 104.280 * * [simplify]: iters left: 5 (62 enodes) 104.298 * * [simplify]: iters left: 4 (102 enodes) 104.315 * * [simplify]: iters left: 3 (166 enodes) 104.377 * * [simplify]: iters left: 2 (338 enodes) 104.507 * * [simplify]: Extracting #0: cost 1 inf + 0 104.507 * * [simplify]: Extracting #1: cost 57 inf + 0 104.508 * * [simplify]: Extracting #2: cost 141 inf + 1 104.508 * * [simplify]: Extracting #3: cost 188 inf + 3 104.510 * * [simplify]: Extracting #4: cost 168 inf + 3656 104.512 * * [simplify]: Extracting #5: cost 119 inf + 15725 104.522 * * [simplify]: Extracting #6: cost 18 inf + 80230 104.539 * * [simplify]: Extracting #7: cost 1 inf + 93193 104.563 * * [simplify]: Extracting #8: cost 0 inf + 93558 104.589 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 104.589 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 104.590 * * * * [progress]: [ 172 / 315 ] simplifiying candidate # 104.590 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 104.590 * * [simplify]: iters left: 6 (17 enodes) 104.601 * * [simplify]: iters left: 5 (73 enodes) 104.619 * * [simplify]: iters left: 4 (117 enodes) 104.639 * * [simplify]: iters left: 3 (193 enodes) 104.688 * * [simplify]: iters left: 2 (370 enodes) 104.802 * * [simplify]: Extracting #0: cost 1 inf + 0 104.803 * * [simplify]: Extracting #1: cost 50 inf + 0 104.803 * * [simplify]: Extracting #2: cost 139 inf + 1 104.805 * * [simplify]: Extracting #3: cost 199 inf + 3 104.807 * * [simplify]: Extracting #4: cost 188 inf + 3945 104.814 * * [simplify]: Extracting #5: cost 121 inf + 20967 104.831 * * [simplify]: Extracting #6: cost 25 inf + 83209 104.852 * * [simplify]: Extracting #7: cost 0 inf + 102013 104.877 * * [simplify]: Extracting #8: cost 0 inf + 101519 104.893 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 104.893 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 104.893 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 104.893 * * [simplify]: iters left: 6 (16 enodes) 104.899 * * [simplify]: iters left: 5 (68 enodes) 104.922 * * [simplify]: iters left: 4 (115 enodes) 104.952 * * [simplify]: iters left: 3 (196 enodes) 105.010 * * [simplify]: iters left: 2 (402 enodes) 105.178 * * [simplify]: Extracting #0: cost 1 inf + 0 105.178 * * [simplify]: Extracting #1: cost 47 inf + 0 105.178 * * [simplify]: Extracting #2: cost 129 inf + 1 105.179 * * [simplify]: Extracting #3: cost 189 inf + 3 105.180 * * [simplify]: Extracting #4: cost 186 inf + 1007 105.182 * * [simplify]: Extracting #5: cost 123 inf + 17637 105.192 * * [simplify]: Extracting #6: cost 26 inf + 72325 105.214 * * [simplify]: Extracting #7: cost 0 inf + 89930 105.228 * * [simplify]: Extracting #8: cost 0 inf + 89548 105.255 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 105.256 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 105.256 * * * * [progress]: [ 173 / 315 ] simplifiying candidate # 105.256 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 105.256 * * [simplify]: iters left: 6 (12 enodes) 105.261 * * [simplify]: iters left: 5 (51 enodes) 105.271 * * [simplify]: iters left: 4 (82 enodes) 105.286 * * [simplify]: iters left: 3 (126 enodes) 105.331 * * [simplify]: iters left: 2 (229 enodes) 105.415 * * [simplify]: iters left: 1 (458 enodes) 105.692 * * [simplify]: Extracting #0: cost 1 inf + 0 105.693 * * [simplify]: Extracting #1: cost 36 inf + 0 105.694 * * [simplify]: Extracting #2: cost 144 inf + 3 105.695 * * [simplify]: Extracting #3: cost 196 inf + 8 105.697 * * [simplify]: Extracting #4: cost 175 inf + 2248 105.701 * * [simplify]: Extracting #5: cost 109 inf + 19868 105.711 * * [simplify]: Extracting #6: cost 15 inf + 82551 105.728 * * [simplify]: Extracting #7: cost 0 inf + 92018 105.756 * * [simplify]: Extracting #8: cost 0 inf + 90581 105.773 * * [simplify]: Extracting #9: cost 0 inf + 89947 105.788 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 105.788 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 105.788 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 105.788 * * [simplify]: iters left: 6 (12 enodes) 105.795 * * [simplify]: iters left: 5 (50 enodes) 105.812 * * [simplify]: iters left: 4 (86 enodes) 105.831 * * [simplify]: iters left: 3 (147 enodes) 105.872 * * [simplify]: iters left: 2 (300 enodes) 105.994 * * [simplify]: Extracting #0: cost 1 inf + 0 105.994 * * [simplify]: Extracting #1: cost 41 inf + 0 105.994 * * [simplify]: Extracting #2: cost 125 inf + 1 105.996 * * [simplify]: Extracting #3: cost 163 inf + 127 105.997 * * [simplify]: Extracting #4: cost 162 inf + 425 105.999 * * [simplify]: Extracting #5: cost 132 inf + 3989 106.007 * * [simplify]: Extracting #6: cost 68 inf + 31169 106.019 * * [simplify]: Extracting #7: cost 6 inf + 73091 106.030 * * [simplify]: Extracting #8: cost 0 inf + 74351 106.040 * * [simplify]: Extracting #9: cost 0 inf + 74220 106.050 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 106.050 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 106.050 * * * * [progress]: [ 174 / 315 ] simplifiying candidate # 106.050 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 106.050 * * [simplify]: iters left: 6 (17 enodes) 106.057 * * [simplify]: iters left: 5 (72 enodes) 106.069 * * [simplify]: iters left: 4 (112 enodes) 106.086 * * [simplify]: iters left: 3 (159 enodes) 106.114 * * [simplify]: iters left: 2 (250 enodes) 106.198 * * [simplify]: iters left: 1 (418 enodes) 106.351 * * [simplify]: Extracting #0: cost 1 inf + 0 106.351 * * [simplify]: Extracting #1: cost 7 inf + 0 106.351 * * [simplify]: Extracting #2: cost 10 inf + 1 106.352 * * [simplify]: Extracting #3: cost 33 inf + 1 106.352 * * [simplify]: Extracting #4: cost 101 inf + 2 106.352 * * [simplify]: Extracting #5: cost 159 inf + 176 106.353 * * [simplify]: Extracting #6: cost 147 inf + 934 106.357 * * [simplify]: Extracting #7: cost 78 inf + 10187 106.368 * * [simplify]: Extracting #8: cost 24 inf + 39478 106.387 * * [simplify]: Extracting #9: cost 0 inf + 59020 106.397 * * [simplify]: Extracting #10: cost 0 inf + 58156 106.408 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 106.408 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 106.408 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 106.408 * * [simplify]: iters left: 6 (15 enodes) 106.413 * * [simplify]: iters left: 5 (62 enodes) 106.436 * * [simplify]: iters left: 4 (98 enodes) 106.466 * * [simplify]: iters left: 3 (142 enodes) 106.491 * * [simplify]: iters left: 2 (243 enodes) 106.558 * * [simplify]: iters left: 1 (399 enodes) 106.683 * * [simplify]: Extracting #0: cost 1 inf + 0 106.683 * * [simplify]: Extracting #1: cost 7 inf + 0 106.683 * * [simplify]: Extracting #2: cost 12 inf + 1 106.683 * * [simplify]: Extracting #3: cost 32 inf + 166 106.684 * * [simplify]: Extracting #4: cost 99 inf + 249 106.684 * * [simplify]: Extracting #5: cost 133 inf + 1088 106.687 * * [simplify]: Extracting #6: cost 85 inf + 10118 106.692 * * [simplify]: Extracting #7: cost 23 inf + 41326 106.702 * * [simplify]: Extracting #8: cost 0 inf + 60801 106.711 * * [simplify]: Extracting #9: cost 0 inf + 60276 106.723 * * [simplify]: Extracting #10: cost 0 inf + 60066 106.732 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 106.732 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 106.733 * * * * [progress]: [ 175 / 315 ] simplifiying candidate # 106.733 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 106.733 * * [simplify]: iters left: 6 (16 enodes) 106.739 * * [simplify]: iters left: 5 (67 enodes) 106.762 * * [simplify]: iters left: 4 (99 enodes) 106.792 * * [simplify]: iters left: 3 (137 enodes) 106.830 * * [simplify]: iters left: 2 (226 enodes) 106.877 * * [simplify]: iters left: 1 (385 enodes) 107.023 * * [simplify]: Extracting #0: cost 1 inf + 0 107.023 * * [simplify]: Extracting #1: cost 6 inf + 0 107.023 * * [simplify]: Extracting #2: cost 37 inf + 1 107.024 * * [simplify]: Extracting #3: cost 112 inf + 2 107.024 * * [simplify]: Extracting #4: cost 146 inf + 177 107.025 * * [simplify]: Extracting #5: cost 131 inf + 1389 107.028 * * [simplify]: Extracting #6: cost 55 inf + 19281 107.038 * * [simplify]: Extracting #7: cost 12 inf + 49786 107.049 * * [simplify]: Extracting #8: cost 0 inf + 59192 107.058 * * [simplify]: Extracting #9: cost 0 inf + 58768 107.068 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 107.068 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 107.069 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 107.069 * * [simplify]: iters left: 6 (15 enodes) 107.074 * * [simplify]: iters left: 5 (62 enodes) 107.084 * * [simplify]: iters left: 4 (99 enodes) 107.100 * * [simplify]: iters left: 3 (146 enodes) 107.129 * * [simplify]: iters left: 2 (253 enodes) 107.209 * * [simplify]: iters left: 1 (409 enodes) 107.334 * * [simplify]: Extracting #0: cost 1 inf + 0 107.334 * * [simplify]: Extracting #1: cost 7 inf + 0 107.334 * * [simplify]: Extracting #2: cost 13 inf + 1 107.334 * * [simplify]: Extracting #3: cost 35 inf + 84 107.335 * * [simplify]: Extracting #4: cost 111 inf + 167 107.335 * * [simplify]: Extracting #5: cost 136 inf + 1459 107.338 * * [simplify]: Extracting #6: cost 83 inf + 11017 107.343 * * [simplify]: Extracting #7: cost 31 inf + 30439 107.351 * * [simplify]: Extracting #8: cost 0 inf + 55952 107.361 * * [simplify]: Extracting #9: cost 0 inf + 55390 107.370 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 107.370 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 107.370 * * * * [progress]: [ 176 / 315 ] simplifiying candidate # 107.370 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 107.371 * * [simplify]: iters left: 5 (6 enodes) 107.374 * * [simplify]: iters left: 4 (22 enodes) 107.379 * * [simplify]: iters left: 3 (24 enodes) 107.381 * * [simplify]: Extracting #0: cost 1 inf + 0 107.381 * * [simplify]: Extracting #1: cost 0 inf + 1 107.381 * [simplify]: Simplified to 1 107.381 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 107.381 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 107.381 * * [simplify]: iters left: 6 (14 enodes) 107.386 * * [simplify]: iters left: 5 (59 enodes) 107.395 * * [simplify]: iters left: 4 (103 enodes) 107.415 * * [simplify]: iters left: 3 (165 enodes) 107.447 * * [simplify]: iters left: 2 (314 enodes) 107.552 * * [simplify]: Extracting #0: cost 1 inf + 0 107.552 * * [simplify]: Extracting #1: cost 56 inf + 0 107.553 * * [simplify]: Extracting #2: cost 152 inf + 1 107.554 * * [simplify]: Extracting #3: cost 195 inf + 86 107.554 * * [simplify]: Extracting #4: cost 187 inf + 1215 107.556 * * [simplify]: Extracting #5: cost 137 inf + 11621 107.564 * * [simplify]: Extracting #6: cost 48 inf + 64325 107.577 * * [simplify]: Extracting #7: cost 1 inf + 98423 107.596 * * [simplify]: Extracting #8: cost 0 inf + 98696 107.619 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 107.619 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 107.619 * * * * [progress]: [ 177 / 315 ] simplifiying candidate # 107.619 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 107.619 * * [simplify]: iters left: 6 (16 enodes) 107.626 * * [simplify]: iters left: 5 (70 enodes) 107.640 * * [simplify]: iters left: 4 (112 enodes) 107.664 * * [simplify]: iters left: 3 (177 enodes) 107.708 * * [simplify]: iters left: 2 (332 enodes) 107.814 * * [simplify]: Extracting #0: cost 1 inf + 0 107.814 * * [simplify]: Extracting #1: cost 18 inf + 0 107.814 * * [simplify]: Extracting #2: cost 90 inf + 2 107.815 * * [simplify]: Extracting #3: cost 140 inf + 177 107.816 * * [simplify]: Extracting #4: cost 140 inf + 433 107.818 * * [simplify]: Extracting #5: cost 95 inf + 4783 107.825 * * [simplify]: Extracting #6: cost 42 inf + 21700 107.834 * * [simplify]: Extracting #7: cost 5 inf + 46527 107.845 * * [simplify]: Extracting #8: cost 0 inf + 49690 107.852 * * [simplify]: Extracting #9: cost 0 inf + 49650 107.860 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 107.860 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 107.860 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 107.860 * * [simplify]: iters left: 6 (15 enodes) 107.865 * * [simplify]: iters left: 5 (65 enodes) 107.876 * * [simplify]: iters left: 4 (109 enodes) 107.902 * * [simplify]: iters left: 3 (183 enodes) 107.942 * * [simplify]: iters left: 2 (370 enodes) 108.093 * * [simplify]: Extracting #0: cost 1 inf + 0 108.093 * * [simplify]: Extracting #1: cost 42 inf + 0 108.093 * * [simplify]: Extracting #2: cost 132 inf + 1 108.094 * * [simplify]: Extracting #3: cost 186 inf + 127 108.095 * * [simplify]: Extracting #4: cost 179 inf + 2752 108.097 * * [simplify]: Extracting #5: cost 124 inf + 11902 108.109 * * [simplify]: Extracting #6: cost 25 inf + 73950 108.121 * * [simplify]: Extracting #7: cost 1 inf + 90027 108.135 * * [simplify]: Extracting #8: cost 0 inf + 90039 108.148 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 108.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 108.148 * * * * [progress]: [ 178 / 315 ] simplifiying candidate # 108.148 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 108.149 * * [simplify]: iters left: 6 (13 enodes) 108.153 * * [simplify]: iters left: 5 (54 enodes) 108.162 * * [simplify]: iters left: 4 (90 enodes) 108.179 * * [simplify]: iters left: 3 (152 enodes) 108.215 * * [simplify]: iters left: 2 (297 enodes) 108.331 * * [simplify]: Extracting #0: cost 1 inf + 0 108.331 * * [simplify]: Extracting #1: cost 46 inf + 0 108.331 * * [simplify]: Extracting #2: cost 127 inf + 1 108.332 * * [simplify]: Extracting #3: cost 168 inf + 4 108.332 * * [simplify]: Extracting #4: cost 167 inf + 379 108.333 * * [simplify]: Extracting #5: cost 130 inf + 5609 108.337 * * [simplify]: Extracting #6: cost 70 inf + 28183 108.346 * * [simplify]: Extracting #7: cost 6 inf + 71892 108.361 * * [simplify]: Extracting #8: cost 0 inf + 76311 108.381 * * [simplify]: Extracting #9: cost 0 inf + 75889 108.404 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 108.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 108.405 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 108.405 * * [simplify]: iters left: 6 (13 enodes) 108.413 * * [simplify]: iters left: 5 (53 enodes) 108.431 * * [simplify]: iters left: 4 (89 enodes) 108.445 * * [simplify]: iters left: 3 (146 enodes) 108.496 * * [simplify]: iters left: 2 (298 enodes) 108.618 * * [simplify]: Extracting #0: cost 1 inf + 0 108.618 * * [simplify]: Extracting #1: cost 45 inf + 0 108.618 * * [simplify]: Extracting #2: cost 125 inf + 1 108.619 * * [simplify]: Extracting #3: cost 170 inf + 3 108.620 * * [simplify]: Extracting #4: cost 162 inf + 756 108.621 * * [simplify]: Extracting #5: cost 119 inf + 6798 108.626 * * [simplify]: Extracting #6: cost 55 inf + 41462 108.639 * * [simplify]: Extracting #7: cost 2 inf + 81304 108.661 * * [simplify]: Extracting #8: cost 0 inf + 81157 108.684 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 108.685 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 108.685 * * * * [progress]: [ 179 / 315 ] simplifiying candidate # 108.685 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 108.685 * * [simplify]: iters left: 6 (18 enodes) 108.695 * * [simplify]: iters left: 5 (75 enodes) 108.723 * * [simplify]: iters left: 4 (113 enodes) 108.740 * * [simplify]: iters left: 3 (170 enodes) 108.779 * * [simplify]: iters left: 2 (279 enodes) 108.850 * * [simplify]: iters left: 1 (453 enodes) 109.030 * * [simplify]: Extracting #0: cost 1 inf + 0 109.030 * * [simplify]: Extracting #1: cost 10 inf + 0 109.030 * * [simplify]: Extracting #2: cost 18 inf + 1 109.030 * * [simplify]: Extracting #3: cost 44 inf + 1 109.033 * * [simplify]: Extracting #4: cost 108 inf + 328 109.034 * * [simplify]: Extracting #5: cost 153 inf + 1162 109.037 * * [simplify]: Extracting #6: cost 89 inf + 12166 109.043 * * [simplify]: Extracting #7: cost 26 inf + 41321 109.052 * * [simplify]: Extracting #8: cost 1 inf + 63695 109.062 * * [simplify]: Extracting #9: cost 0 inf + 64745 109.072 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 109.072 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 109.073 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 109.073 * * [simplify]: iters left: 6 (16 enodes) 109.077 * * [simplify]: iters left: 5 (65 enodes) 109.088 * * [simplify]: iters left: 4 (101 enodes) 109.103 * * [simplify]: iters left: 3 (145 enodes) 109.130 * * [simplify]: iters left: 2 (246 enodes) 109.174 * * [simplify]: iters left: 1 (410 enodes) 109.318 * * [simplify]: Extracting #0: cost 1 inf + 0 109.318 * * [simplify]: Extracting #1: cost 7 inf + 0 109.318 * * [simplify]: Extracting #2: cost 12 inf + 1 109.319 * * [simplify]: Extracting #3: cost 37 inf + 1 109.319 * * [simplify]: Extracting #4: cost 101 inf + 247 109.320 * * [simplify]: Extracting #5: cost 141 inf + 1078 109.323 * * [simplify]: Extracting #6: cost 75 inf + 18550 109.336 * * [simplify]: Extracting #7: cost 4 inf + 55542 109.352 * * [simplify]: Extracting #8: cost 0 inf + 57284 109.368 * * [simplify]: Extracting #9: cost 0 inf + 57164 109.380 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 109.380 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 109.380 * * * * [progress]: [ 180 / 315 ] simplifiying candidate # 109.380 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 109.380 * * [simplify]: iters left: 6 (17 enodes) 109.385 * * [simplify]: iters left: 5 (70 enodes) 109.400 * * [simplify]: iters left: 4 (107 enodes) 109.417 * * [simplify]: iters left: 3 (156 enodes) 109.467 * * [simplify]: iters left: 2 (251 enodes) 109.517 * * [simplify]: iters left: 1 (410 enodes) 109.680 * * [simplify]: Extracting #0: cost 1 inf + 0 109.680 * * [simplify]: Extracting #1: cost 7 inf + 0 109.680 * * [simplify]: Extracting #2: cost 13 inf + 1 109.680 * * [simplify]: Extracting #3: cost 42 inf + 1 109.680 * * [simplify]: Extracting #4: cost 120 inf + 125 109.681 * * [simplify]: Extracting #5: cost 152 inf + 749 109.683 * * [simplify]: Extracting #6: cost 109 inf + 5095 109.686 * * [simplify]: Extracting #7: cost 66 inf + 13060 109.694 * * [simplify]: Extracting #8: cost 31 inf + 36513 109.710 * * [simplify]: Extracting #9: cost 1 inf + 62641 109.731 * * [simplify]: Extracting #10: cost 0 inf + 62101 109.753 * * [simplify]: Extracting #11: cost 0 inf + 61850 109.773 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 109.773 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 109.774 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 109.774 * * [simplify]: iters left: 6 (16 enodes) 109.783 * * [simplify]: iters left: 5 (65 enodes) 109.804 * * [simplify]: iters left: 4 (102 enodes) 109.835 * * [simplify]: iters left: 3 (146 enodes) 109.875 * * [simplify]: iters left: 2 (248 enodes) 109.961 * * [simplify]: iters left: 1 (406 enodes) 110.113 * * [simplify]: Extracting #0: cost 1 inf + 0 110.113 * * [simplify]: Extracting #1: cost 7 inf + 0 110.113 * * [simplify]: Extracting #2: cost 13 inf + 1 110.113 * * [simplify]: Extracting #3: cost 45 inf + 1 110.114 * * [simplify]: Extracting #4: cost 120 inf + 247 110.115 * * [simplify]: Extracting #5: cost 138 inf + 1451 110.119 * * [simplify]: Extracting #6: cost 95 inf + 6921 110.129 * * [simplify]: Extracting #7: cost 31 inf + 37456 110.141 * * [simplify]: Extracting #8: cost 0 inf + 64010 110.150 * * [simplify]: Extracting #9: cost 0 inf + 63433 110.159 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 110.160 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 110.160 * * * * [progress]: [ 181 / 315 ] simplifiying candidate # 110.160 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 110.160 * * [simplify]: iters left: 6 (8 enodes) 110.163 * * [simplify]: iters left: 5 (28 enodes) 110.169 * * [simplify]: iters left: 4 (30 enodes) 110.176 * * [simplify]: Extracting #0: cost 1 inf + 0 110.176 * * [simplify]: Extracting #1: cost 4 inf + 0 110.176 * * [simplify]: Extracting #2: cost 5 inf + 1 110.176 * * [simplify]: Extracting #3: cost 7 inf + 1 110.176 * * [simplify]: Extracting #4: cost 3 inf + 165 110.177 * * [simplify]: Extracting #5: cost 0 inf + 490 110.177 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 110.177 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 110.177 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 110.177 * * [simplify]: iters left: 6 (15 enodes) 110.188 * * [simplify]: iters left: 5 (62 enodes) 110.204 * * [simplify]: iters left: 4 (102 enodes) 110.221 * * [simplify]: iters left: 3 (166 enodes) 110.272 * * [simplify]: iters left: 2 (338 enodes) 110.415 * * [simplify]: Extracting #0: cost 1 inf + 0 110.415 * * [simplify]: Extracting #1: cost 57 inf + 0 110.416 * * [simplify]: Extracting #2: cost 141 inf + 1 110.417 * * [simplify]: Extracting #3: cost 188 inf + 3 110.420 * * [simplify]: Extracting #4: cost 168 inf + 3656 110.425 * * [simplify]: Extracting #5: cost 119 inf + 15725 110.445 * * [simplify]: Extracting #6: cost 18 inf + 80230 110.469 * * [simplify]: Extracting #7: cost 1 inf + 93193 110.483 * * [simplify]: Extracting #8: cost 0 inf + 93558 110.505 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 110.505 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 110.506 * * * * [progress]: [ 182 / 315 ] simplifiying candidate # 110.506 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 110.506 * * [simplify]: iters left: 6 (17 enodes) 110.517 * * [simplify]: iters left: 5 (73 enodes) 110.542 * * [simplify]: iters left: 4 (117 enodes) 110.566 * * [simplify]: iters left: 3 (193 enodes) 110.621 * * [simplify]: iters left: 2 (370 enodes) 110.735 * * [simplify]: Extracting #0: cost 1 inf + 0 110.735 * * [simplify]: Extracting #1: cost 50 inf + 0 110.735 * * [simplify]: Extracting #2: cost 139 inf + 1 110.736 * * [simplify]: Extracting #3: cost 199 inf + 3 110.737 * * [simplify]: Extracting #4: cost 188 inf + 3945 110.741 * * [simplify]: Extracting #5: cost 121 inf + 20967 110.759 * * [simplify]: Extracting #6: cost 25 inf + 83209 110.790 * * [simplify]: Extracting #7: cost 0 inf + 102013 110.827 * * [simplify]: Extracting #8: cost 0 inf + 101519 110.858 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 110.858 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 110.859 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 110.859 * * [simplify]: iters left: 6 (16 enodes) 110.868 * * [simplify]: iters left: 5 (68 enodes) 110.880 * * [simplify]: iters left: 4 (115 enodes) 110.902 * * [simplify]: iters left: 3 (196 enodes) 110.958 * * [simplify]: iters left: 2 (402 enodes) 111.106 * * [simplify]: Extracting #0: cost 1 inf + 0 111.109 * * [simplify]: Extracting #1: cost 47 inf + 0 111.110 * * [simplify]: Extracting #2: cost 129 inf + 1 111.110 * * [simplify]: Extracting #3: cost 189 inf + 3 111.111 * * [simplify]: Extracting #4: cost 186 inf + 1007 111.114 * * [simplify]: Extracting #5: cost 123 inf + 17637 111.124 * * [simplify]: Extracting #6: cost 26 inf + 72325 111.149 * * [simplify]: Extracting #7: cost 0 inf + 89930 111.176 * * [simplify]: Extracting #8: cost 0 inf + 89548 111.203 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 111.203 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 111.203 * * * * [progress]: [ 183 / 315 ] simplifiying candidate # 111.204 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 111.204 * * [simplify]: iters left: 6 (11 enodes) 111.212 * * [simplify]: iters left: 5 (48 enodes) 111.229 * * [simplify]: iters left: 4 (75 enodes) 111.244 * * [simplify]: iters left: 3 (120 enodes) 111.273 * * [simplify]: iters left: 2 (238 enodes) 111.373 * * [simplify]: iters left: 1 (478 enodes) 111.649 * * [simplify]: Extracting #0: cost 1 inf + 0 111.649 * * [simplify]: Extracting #1: cost 38 inf + 0 111.650 * * [simplify]: Extracting #2: cost 154 inf + 3 111.651 * * [simplify]: Extracting #3: cost 218 inf + 8 111.653 * * [simplify]: Extracting #4: cost 205 inf + 1726 111.662 * * [simplify]: Extracting #5: cost 109 inf + 35735 111.688 * * [simplify]: Extracting #6: cost 25 inf + 87923 111.719 * * [simplify]: Extracting #7: cost 0 inf + 106658 111.754 * * [simplify]: Extracting #8: cost 0 inf + 106389 111.786 * * [simplify]: Extracting #9: cost 0 inf + 106387 111.803 * [simplify]: Simplified to (pow n (* 1/2 (- 1 k))) 111.803 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 111.803 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 111.803 * * [simplify]: iters left: 6 (12 enodes) 111.808 * * [simplify]: iters left: 5 (50 enodes) 111.816 * * [simplify]: iters left: 4 (86 enodes) 111.839 * * [simplify]: iters left: 3 (147 enodes) 111.895 * * [simplify]: iters left: 2 (300 enodes) 112.039 * * [simplify]: Extracting #0: cost 1 inf + 0 112.039 * * [simplify]: Extracting #1: cost 41 inf + 0 112.039 * * [simplify]: Extracting #2: cost 125 inf + 1 112.041 * * [simplify]: Extracting #3: cost 163 inf + 127 112.042 * * [simplify]: Extracting #4: cost 162 inf + 425 112.044 * * [simplify]: Extracting #5: cost 132 inf + 3989 112.052 * * [simplify]: Extracting #6: cost 68 inf + 31169 112.069 * * [simplify]: Extracting #7: cost 6 inf + 73091 112.092 * * [simplify]: Extracting #8: cost 0 inf + 74351 112.112 * * [simplify]: Extracting #9: cost 0 inf + 74220 112.132 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 112.132 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 112.132 * * * * [progress]: [ 184 / 315 ] simplifiying candidate # 112.133 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 112.133 * * [simplify]: iters left: 6 (16 enodes) 112.143 * * [simplify]: iters left: 5 (69 enodes) 112.166 * * [simplify]: iters left: 4 (102 enodes) 112.197 * * [simplify]: iters left: 3 (141 enodes) 112.247 * * [simplify]: iters left: 2 (232 enodes) 112.318 * * [simplify]: iters left: 1 (397 enodes) 112.423 * * [simplify]: Extracting #0: cost 1 inf + 0 112.423 * * [simplify]: Extracting #1: cost 7 inf + 0 112.423 * * [simplify]: Extracting #2: cost 10 inf + 1 112.423 * * [simplify]: Extracting #3: cost 32 inf + 1 112.423 * * [simplify]: Extracting #4: cost 102 inf + 2 112.424 * * [simplify]: Extracting #5: cost 147 inf + 176 112.424 * * [simplify]: Extracting #6: cost 145 inf + 435 112.426 * * [simplify]: Extracting #7: cost 90 inf + 10375 112.432 * * [simplify]: Extracting #8: cost 30 inf + 34466 112.443 * * [simplify]: Extracting #9: cost 1 inf + 56052 112.462 * * [simplify]: Extracting #10: cost 0 inf + 56466 112.483 * * [simplify]: Extracting #11: cost 0 inf + 56425 112.504 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 112.504 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 112.504 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 112.505 * * [simplify]: iters left: 6 (15 enodes) 112.514 * * [simplify]: iters left: 5 (62 enodes) 112.533 * * [simplify]: iters left: 4 (98 enodes) 112.553 * * [simplify]: iters left: 3 (142 enodes) 112.584 * * [simplify]: iters left: 2 (243 enodes) 112.672 * * [simplify]: iters left: 1 (399 enodes) 112.839 * * [simplify]: Extracting #0: cost 1 inf + 0 112.839 * * [simplify]: Extracting #1: cost 7 inf + 0 112.839 * * [simplify]: Extracting #2: cost 12 inf + 1 112.839 * * [simplify]: Extracting #3: cost 32 inf + 166 112.840 * * [simplify]: Extracting #4: cost 99 inf + 249 112.842 * * [simplify]: Extracting #5: cost 133 inf + 1088 112.846 * * [simplify]: Extracting #6: cost 85 inf + 10118 112.852 * * [simplify]: Extracting #7: cost 23 inf + 41326 112.862 * * [simplify]: Extracting #8: cost 0 inf + 60801 112.871 * * [simplify]: Extracting #9: cost 0 inf + 60276 112.880 * * [simplify]: Extracting #10: cost 0 inf + 60066 112.891 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 112.891 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 112.891 * * * * [progress]: [ 185 / 315 ] simplifiying candidate # 112.892 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 112.892 * * [simplify]: iters left: 6 (15 enodes) 112.896 * * [simplify]: iters left: 5 (64 enodes) 112.908 * * [simplify]: iters left: 4 (96 enodes) 112.933 * * [simplify]: iters left: 3 (137 enodes) 112.978 * * [simplify]: iters left: 2 (231 enodes) 113.033 * * [simplify]: iters left: 1 (398 enodes) 113.199 * * [simplify]: Extracting #0: cost 1 inf + 0 113.199 * * [simplify]: Extracting #1: cost 6 inf + 0 113.199 * * [simplify]: Extracting #2: cost 29 inf + 1 113.199 * * [simplify]: Extracting #3: cost 113 inf + 2 113.200 * * [simplify]: Extracting #4: cost 153 inf + 178 113.201 * * [simplify]: Extracting #5: cost 151 inf + 435 113.202 * * [simplify]: Extracting #6: cost 124 inf + 2554 113.207 * * [simplify]: Extracting #7: cost 69 inf + 13539 113.223 * * [simplify]: Extracting #8: cost 25 inf + 39197 113.242 * * [simplify]: Extracting #9: cost 0 inf + 60258 113.254 * * [simplify]: Extracting #10: cost 0 inf + 59198 113.264 * [simplify]: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 113.264 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 113.265 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 113.265 * * [simplify]: iters left: 6 (15 enodes) 113.270 * * [simplify]: iters left: 5 (62 enodes) 113.286 * * [simplify]: iters left: 4 (99 enodes) 113.304 * * [simplify]: iters left: 3 (146 enodes) 113.338 * * [simplify]: iters left: 2 (253 enodes) 113.391 * * [simplify]: iters left: 1 (409 enodes) 113.529 * * [simplify]: Extracting #0: cost 1 inf + 0 113.529 * * [simplify]: Extracting #1: cost 7 inf + 0 113.529 * * [simplify]: Extracting #2: cost 13 inf + 1 113.529 * * [simplify]: Extracting #3: cost 35 inf + 84 113.530 * * [simplify]: Extracting #4: cost 111 inf + 167 113.531 * * [simplify]: Extracting #5: cost 136 inf + 1459 113.536 * * [simplify]: Extracting #6: cost 83 inf + 11017 113.542 * * [simplify]: Extracting #7: cost 31 inf + 30439 113.550 * * [simplify]: Extracting #8: cost 0 inf + 55952 113.560 * * [simplify]: Extracting #9: cost 0 inf + 55390 113.569 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 113.569 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 113.569 * * * * [progress]: [ 186 / 315 ] simplifiying candidate # 113.569 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 113.569 * * [simplify]: iters left: 5 (5 enodes) 113.573 * * [simplify]: iters left: 4 (17 enodes) 113.576 * * [simplify]: iters left: 3 (19 enodes) 113.578 * * [simplify]: Extracting #0: cost 1 inf + 0 113.578 * * [simplify]: Extracting #1: cost 0 inf + 1 113.578 * [simplify]: Simplified to 1 113.578 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 113.579 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 113.579 * * [simplify]: iters left: 6 (14 enodes) 113.587 * * [simplify]: iters left: 5 (59 enodes) 113.606 * * [simplify]: iters left: 4 (103 enodes) 113.643 * * [simplify]: iters left: 3 (165 enodes) 113.684 * * [simplify]: iters left: 2 (314 enodes) 113.810 * * [simplify]: Extracting #0: cost 1 inf + 0 113.811 * * [simplify]: Extracting #1: cost 56 inf + 0 113.815 * * [simplify]: Extracting #2: cost 152 inf + 1 113.816 * * [simplify]: Extracting #3: cost 195 inf + 86 113.818 * * [simplify]: Extracting #4: cost 187 inf + 1215 113.823 * * [simplify]: Extracting #5: cost 137 inf + 11621 113.839 * * [simplify]: Extracting #6: cost 48 inf + 64325 113.858 * * [simplify]: Extracting #7: cost 1 inf + 98423 113.872 * * [simplify]: Extracting #8: cost 0 inf + 98696 113.893 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 113.893 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 113.893 * * * * [progress]: [ 187 / 315 ] simplifiying candidate # 113.893 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 113.894 * * [simplify]: iters left: 6 (15 enodes) 113.905 * * [simplify]: iters left: 5 (67 enodes) 113.927 * * [simplify]: iters left: 4 (104 enodes) 113.964 * * [simplify]: iters left: 3 (160 enodes) 114.018 * * [simplify]: iters left: 2 (289 enodes) 114.108 * * [simplify]: Extracting #0: cost 1 inf + 0 114.108 * * [simplify]: Extracting #1: cost 21 inf + 0 114.108 * * [simplify]: Extracting #2: cost 94 inf + 2 114.109 * * [simplify]: Extracting #3: cost 142 inf + 259 114.110 * * [simplify]: Extracting #4: cost 142 inf + 475 114.113 * * [simplify]: Extracting #5: cost 91 inf + 7023 114.118 * * [simplify]: Extracting #6: cost 32 inf + 30224 114.126 * * [simplify]: Extracting #7: cost 0 inf + 51260 114.133 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 114.133 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 114.134 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 114.134 * * [simplify]: iters left: 6 (15 enodes) 114.139 * * [simplify]: iters left: 5 (65 enodes) 114.158 * * [simplify]: iters left: 4 (109 enodes) 114.180 * * [simplify]: iters left: 3 (183 enodes) 114.243 * * [simplify]: iters left: 2 (370 enodes) 114.362 * * [simplify]: Extracting #0: cost 1 inf + 0 114.362 * * [simplify]: Extracting #1: cost 42 inf + 0 114.363 * * [simplify]: Extracting #2: cost 132 inf + 1 114.364 * * [simplify]: Extracting #3: cost 186 inf + 127 114.366 * * [simplify]: Extracting #4: cost 179 inf + 2752 114.371 * * [simplify]: Extracting #5: cost 124 inf + 11902 114.389 * * [simplify]: Extracting #6: cost 25 inf + 73950 114.413 * * [simplify]: Extracting #7: cost 1 inf + 90027 114.438 * * [simplify]: Extracting #8: cost 0 inf + 90039 114.459 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 114.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 114.459 * * * * [progress]: [ 188 / 315 ] simplifiying candidate # 114.460 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 114.460 * * [simplify]: iters left: 5 (4 enodes) 114.464 * * [simplify]: iters left: 4 (14 enodes) 114.470 * * [simplify]: iters left: 3 (16 enodes) 114.472 * * [simplify]: Extracting #0: cost 1 inf + 0 114.472 * * [simplify]: Extracting #1: cost 0 inf + 1 114.472 * [simplify]: Simplified to 1 114.472 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 114.472 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 114.472 * * [simplify]: iters left: 6 (14 enodes) 114.477 * * [simplify]: iters left: 5 (59 enodes) 114.487 * * [simplify]: iters left: 4 (103 enodes) 114.518 * * [simplify]: iters left: 3 (165 enodes) 114.555 * * [simplify]: iters left: 2 (314 enodes) 114.661 * * [simplify]: Extracting #0: cost 1 inf + 0 114.662 * * [simplify]: Extracting #1: cost 56 inf + 0 114.662 * * [simplify]: Extracting #2: cost 152 inf + 1 114.664 * * [simplify]: Extracting #3: cost 195 inf + 86 114.666 * * [simplify]: Extracting #4: cost 187 inf + 1215 114.670 * * [simplify]: Extracting #5: cost 137 inf + 11621 114.684 * * [simplify]: Extracting #6: cost 48 inf + 64325 114.697 * * [simplify]: Extracting #7: cost 1 inf + 98423 114.712 * * [simplify]: Extracting #8: cost 0 inf + 98696 114.739 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 114.739 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 114.740 * * * * [progress]: [ 189 / 315 ] simplifiying candidate # 114.740 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 114.740 * * [simplify]: iters left: 5 (6 enodes) 114.748 * * [simplify]: iters left: 4 (22 enodes) 114.755 * * [simplify]: iters left: 3 (24 enodes) 114.761 * * [simplify]: Extracting #0: cost 1 inf + 0 114.761 * * [simplify]: Extracting #1: cost 4 inf + 0 114.761 * * [simplify]: Extracting #2: cost 5 inf + 1 114.761 * * [simplify]: Extracting #3: cost 2 inf + 125 114.762 * * [simplify]: Extracting #4: cost 0 inf + 248 114.762 * [simplify]: Simplified to (/ 1 (sqrt k)) 114.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 114.762 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 114.762 * * [simplify]: iters left: 6 (13 enodes) 114.770 * * [simplify]: iters left: 5 (56 enodes) 114.789 * * [simplify]: iters left: 4 (91 enodes) 114.806 * * [simplify]: iters left: 3 (132 enodes) 114.827 * * [simplify]: iters left: 2 (220 enodes) 114.890 * * [simplify]: iters left: 1 (428 enodes) 115.136 * * [simplify]: Extracting #0: cost 1 inf + 0 115.136 * * [simplify]: Extracting #1: cost 48 inf + 0 115.137 * * [simplify]: Extracting #2: cost 182 inf + 2 115.138 * * [simplify]: Extracting #3: cost 238 inf + 176 115.139 * * [simplify]: Extracting #4: cost 229 inf + 768 115.142 * * [simplify]: Extracting #5: cost 156 inf + 18147 115.155 * * [simplify]: Extracting #6: cost 50 inf + 85831 115.191 * * [simplify]: Extracting #7: cost 0 inf + 125386 115.216 * * [simplify]: Extracting #8: cost 0 inf + 124349 115.254 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 115.254 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 115.254 * * * * [progress]: [ 190 / 315 ] simplifiying candidate # 115.254 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 115.254 * * [simplify]: iters left: 6 (14 enodes) 115.259 * * [simplify]: iters left: 5 (57 enodes) 115.270 * * [simplify]: iters left: 4 (96 enodes) 115.295 * * [simplify]: iters left: 3 (168 enodes) 115.353 * * [simplify]: iters left: 2 (303 enodes) 115.442 * * [simplify]: Extracting #0: cost 1 inf + 0 115.442 * * [simplify]: Extracting #1: cost 36 inf + 0 115.442 * * [simplify]: Extracting #2: cost 105 inf + 1 115.443 * * [simplify]: Extracting #3: cost 112 inf + 132 115.443 * * [simplify]: Extracting #4: cost 106 inf + 385 115.445 * * [simplify]: Extracting #5: cost 55 inf + 21697 115.452 * * [simplify]: Extracting #6: cost 4 inf + 53549 115.460 * * [simplify]: Extracting #7: cost 0 inf + 55851 115.473 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 115.473 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 115.474 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 115.474 * * [simplify]: iters left: 6 (11 enodes) 115.480 * * [simplify]: iters left: 5 (42 enodes) 115.494 * * [simplify]: iters left: 4 (66 enodes) 115.515 * * [simplify]: iters left: 3 (101 enodes) 115.552 * * [simplify]: iters left: 2 (171 enodes) 115.586 * * [simplify]: iters left: 1 (319 enodes) 115.736 * * [simplify]: Extracting #0: cost 1 inf + 0 115.736 * * [simplify]: Extracting #1: cost 6 inf + 0 115.736 * * [simplify]: Extracting #2: cost 38 inf + 1 115.737 * * [simplify]: Extracting #3: cost 127 inf + 2 115.738 * * [simplify]: Extracting #4: cost 156 inf + 177 115.743 * * [simplify]: Extracting #5: cost 89 inf + 15817 115.761 * * [simplify]: Extracting #6: cost 12 inf + 49508 115.779 * * [simplify]: Extracting #7: cost 0 inf + 56041 115.793 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 115.793 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 115.793 * * * * [progress]: [ 191 / 315 ] simplifiying candidate # 115.794 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 115.794 * * [simplify]: iters left: 6 (16 enodes) 115.799 * * [simplify]: iters left: 5 (65 enodes) 115.811 * * [simplify]: iters left: 4 (101 enodes) 115.840 * * [simplify]: iters left: 3 (145 enodes) 115.893 * * [simplify]: iters left: 2 (237 enodes) 115.967 * * [simplify]: iters left: 1 (407 enodes) 116.091 * * [simplify]: Extracting #0: cost 1 inf + 0 116.091 * * [simplify]: Extracting #1: cost 7 inf + 0 116.091 * * [simplify]: Extracting #2: cost 11 inf + 1 116.091 * * [simplify]: Extracting #3: cost 16 inf + 1 116.091 * * [simplify]: Extracting #4: cost 45 inf + 1 116.092 * * [simplify]: Extracting #5: cost 127 inf + 85 116.092 * * [simplify]: Extracting #6: cost 160 inf + 1214 116.095 * * [simplify]: Extracting #7: cost 115 inf + 8566 116.102 * * [simplify]: Extracting #8: cost 48 inf + 36571 116.123 * * [simplify]: Extracting #9: cost 4 inf + 73462 116.144 * * [simplify]: Extracting #10: cost 0 inf + 73415 116.157 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))) 116.157 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 116.157 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 116.157 * * [simplify]: iters left: 6 (15 enodes) 116.162 * * [simplify]: iters left: 5 (60 enodes) 116.176 * * [simplify]: iters left: 4 (91 enodes) 116.203 * * [simplify]: iters left: 3 (133 enodes) 116.226 * * [simplify]: iters left: 2 (225 enodes) 116.290 * * [simplify]: iters left: 1 (398 enodes) 116.404 * * [simplify]: Extracting #0: cost 1 inf + 0 116.404 * * [simplify]: Extracting #1: cost 4 inf + 0 116.404 * * [simplify]: Extracting #2: cost 5 inf + 1 116.404 * * [simplify]: Extracting #3: cost 10 inf + 1 116.404 * * [simplify]: Extracting #4: cost 43 inf + 1 116.404 * * [simplify]: Extracting #5: cost 128 inf + 85 116.405 * * [simplify]: Extracting #6: cost 175 inf + 757 116.408 * * [simplify]: Extracting #7: cost 109 inf + 16812 116.418 * * [simplify]: Extracting #8: cost 14 inf + 63749 116.432 * * [simplify]: Extracting #9: cost 0 inf + 72534 116.454 * * [simplify]: Extracting #10: cost 0 inf + 71970 116.479 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 116.479 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 116.479 * * * * [progress]: [ 192 / 315 ] simplifiying candidate # 116.479 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 116.480 * * [simplify]: iters left: 6 (15 enodes) 116.484 * * [simplify]: iters left: 5 (60 enodes) 116.494 * * [simplify]: iters left: 4 (91 enodes) 116.509 * * [simplify]: iters left: 3 (133 enodes) 116.548 * * [simplify]: iters left: 2 (225 enodes) 116.609 * * [simplify]: iters left: 1 (398 enodes) 116.746 * * [simplify]: Extracting #0: cost 1 inf + 0 116.746 * * [simplify]: Extracting #1: cost 4 inf + 0 116.746 * * [simplify]: Extracting #2: cost 5 inf + 1 116.746 * * [simplify]: Extracting #3: cost 10 inf + 1 116.747 * * [simplify]: Extracting #4: cost 43 inf + 1 116.747 * * [simplify]: Extracting #5: cost 128 inf + 85 116.749 * * [simplify]: Extracting #6: cost 175 inf + 757 116.754 * * [simplify]: Extracting #7: cost 109 inf + 16812 116.774 * * [simplify]: Extracting #8: cost 14 inf + 63629 116.800 * * [simplify]: Extracting #9: cost 0 inf + 72374 116.827 * * [simplify]: Extracting #10: cost 0 inf + 71810 116.842 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 116.842 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 116.842 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 116.842 * * [simplify]: iters left: 6 (15 enodes) 116.851 * * [simplify]: iters left: 5 (60 enodes) 116.870 * * [simplify]: iters left: 4 (91 enodes) 116.901 * * [simplify]: iters left: 3 (133 enodes) 116.927 * * [simplify]: iters left: 2 (225 enodes) 116.999 * * [simplify]: iters left: 1 (398 enodes) 117.165 * * [simplify]: Extracting #0: cost 1 inf + 0 117.166 * * [simplify]: Extracting #1: cost 4 inf + 0 117.166 * * [simplify]: Extracting #2: cost 5 inf + 1 117.166 * * [simplify]: Extracting #3: cost 10 inf + 1 117.166 * * [simplify]: Extracting #4: cost 43 inf + 1 117.166 * * [simplify]: Extracting #5: cost 128 inf + 85 117.167 * * [simplify]: Extracting #6: cost 175 inf + 757 117.169 * * [simplify]: Extracting #7: cost 109 inf + 16812 117.180 * * [simplify]: Extracting #8: cost 14 inf + 63629 117.197 * * [simplify]: Extracting #9: cost 0 inf + 72374 117.229 * * [simplify]: Extracting #10: cost 0 inf + 71810 117.249 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 117.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 117.249 * * * * [progress]: [ 193 / 315 ] simplifiying candidate # 117.249 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 117.249 * * [simplify]: iters left: 6 (13 enodes) 117.253 * * [simplify]: iters left: 5 (54 enodes) 117.263 * * [simplify]: iters left: 4 (101 enodes) 117.281 * * [simplify]: iters left: 3 (199 enodes) 117.358 * * [simplify]: iters left: 2 (484 enodes) 117.702 * * [simplify]: Extracting #0: cost 1 inf + 0 117.702 * * [simplify]: Extracting #1: cost 105 inf + 0 117.704 * * [simplify]: Extracting #2: cost 298 inf + 1 117.706 * * [simplify]: Extracting #3: cost 354 inf + 4 117.710 * * [simplify]: Extracting #4: cost 345 inf + 1593 117.715 * * [simplify]: Extracting #5: cost 302 inf + 8880 117.723 * * [simplify]: Extracting #6: cost 210 inf + 51407 117.742 * * [simplify]: Extracting #7: cost 39 inf + 171477 117.792 * * [simplify]: Extracting #8: cost 0 inf + 200528 117.844 * * [simplify]: Extracting #9: cost 0 inf + 200357 117.889 * [simplify]: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 117.889 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 117.890 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 117.890 * * [simplify]: iters left: 6 (13 enodes) 117.898 * * [simplify]: iters left: 5 (53 enodes) 117.918 * * [simplify]: iters left: 4 (89 enodes) 117.933 * * [simplify]: iters left: 3 (146 enodes) 117.966 * * [simplify]: iters left: 2 (298 enodes) 118.096 * * [simplify]: Extracting #0: cost 1 inf + 0 118.096 * * [simplify]: Extracting #1: cost 45 inf + 0 118.096 * * [simplify]: Extracting #2: cost 125 inf + 1 118.097 * * [simplify]: Extracting #3: cost 170 inf + 3 118.098 * * [simplify]: Extracting #4: cost 162 inf + 836 118.099 * * [simplify]: Extracting #5: cost 119 inf + 7078 118.104 * * [simplify]: Extracting #6: cost 55 inf + 42982 118.115 * * [simplify]: Extracting #7: cost 2 inf + 84384 118.131 * * [simplify]: Extracting #8: cost 0 inf + 84317 118.155 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 118.155 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 118.155 * * * * [progress]: [ 194 / 315 ] simplifiying candidate # 118.155 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 118.156 * * [simplify]: iters left: 6 (18 enodes) 118.166 * * [simplify]: iters left: 5 (77 enodes) 118.191 * * [simplify]: iters left: 4 (138 enodes) 118.218 * * [simplify]: iters left: 3 (226 enodes) 118.284 * * [simplify]: iters left: 2 (400 enodes) 118.385 * * [simplify]: Extracting #0: cost 1 inf + 0 118.385 * * [simplify]: Extracting #1: cost 22 inf + 0 118.386 * * [simplify]: Extracting #2: cost 39 inf + 1 118.386 * * [simplify]: Extracting #3: cost 54 inf + 1 118.386 * * [simplify]: Extracting #4: cost 87 inf + 1417 118.387 * * [simplify]: Extracting #5: cost 105 inf + 3780 118.390 * * [simplify]: Extracting #6: cost 50 inf + 18090 118.396 * * [simplify]: Extracting #7: cost 10 inf + 34032 118.405 * * [simplify]: Extracting #8: cost 0 inf + 40549 118.419 * * [simplify]: Extracting #9: cost 0 inf + 40177 118.434 * * [simplify]: Extracting #10: cost 0 inf + 39738 118.449 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 118.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 118.449 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 118.449 * * [simplify]: iters left: 6 (16 enodes) 118.461 * * [simplify]: iters left: 5 (65 enodes) 118.482 * * [simplify]: iters left: 4 (101 enodes) 118.513 * * [simplify]: iters left: 3 (145 enodes) 118.550 * * [simplify]: iters left: 2 (246 enodes) 118.629 * * [simplify]: iters left: 1 (410 enodes) 118.764 * * [simplify]: Extracting #0: cost 1 inf + 0 118.764 * * [simplify]: Extracting #1: cost 7 inf + 0 118.764 * * [simplify]: Extracting #2: cost 12 inf + 1 118.764 * * [simplify]: Extracting #3: cost 37 inf + 1 118.765 * * [simplify]: Extracting #4: cost 101 inf + 327 118.766 * * [simplify]: Extracting #5: cost 141 inf + 1238 118.772 * * [simplify]: Extracting #6: cost 75 inf + 18710 118.794 * * [simplify]: Extracting #7: cost 4 inf + 55862 118.813 * * [simplify]: Extracting #8: cost 0 inf + 57604 118.825 * * [simplify]: Extracting #9: cost 0 inf + 57484 118.834 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 118.834 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 118.835 * * * * [progress]: [ 195 / 315 ] simplifiying candidate # 118.835 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 118.835 * * [simplify]: iters left: 6 (17 enodes) 118.840 * * [simplify]: iters left: 5 (70 enodes) 118.852 * * [simplify]: iters left: 4 (115 enodes) 118.888 * * [simplify]: iters left: 3 (181 enodes) 118.949 * * [simplify]: iters left: 2 (314 enodes) 119.028 * * [simplify]: Extracting #0: cost 1 inf + 0 119.028 * * [simplify]: Extracting #1: cost 17 inf + 0 119.028 * * [simplify]: Extracting #2: cost 28 inf + 1 119.028 * * [simplify]: Extracting #3: cost 46 inf + 1 119.029 * * [simplify]: Extracting #4: cost 87 inf + 1741 119.029 * * [simplify]: Extracting #5: cost 95 inf + 3507 119.034 * * [simplify]: Extracting #6: cost 44 inf + 12888 119.042 * * [simplify]: Extracting #7: cost 6 inf + 28476 119.052 * * [simplify]: Extracting #8: cost 1 inf + 31920 119.061 * * [simplify]: Extracting #9: cost 0 inf + 32747 119.066 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 119.066 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 119.067 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 119.067 * * [simplify]: iters left: 6 (16 enodes) 119.071 * * [simplify]: iters left: 5 (65 enodes) 119.082 * * [simplify]: iters left: 4 (102 enodes) 119.103 * * [simplify]: iters left: 3 (146 enodes) 119.154 * * [simplify]: iters left: 2 (248 enodes) 119.208 * * [simplify]: iters left: 1 (406 enodes) 119.321 * * [simplify]: Extracting #0: cost 1 inf + 0 119.321 * * [simplify]: Extracting #1: cost 7 inf + 0 119.321 * * [simplify]: Extracting #2: cost 13 inf + 1 119.321 * * [simplify]: Extracting #3: cost 45 inf + 1 119.322 * * [simplify]: Extracting #4: cost 120 inf + 327 119.324 * * [simplify]: Extracting #5: cost 138 inf + 1611 119.328 * * [simplify]: Extracting #6: cost 95 inf + 7081 119.338 * * [simplify]: Extracting #7: cost 31 inf + 37776 119.356 * * [simplify]: Extracting #8: cost 0 inf + 64330 119.375 * * [simplify]: Extracting #9: cost 0 inf + 63753 119.394 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) 119.394 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 119.395 * * * * [progress]: [ 196 / 315 ] simplifiying candidate # 119.395 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 119.395 * * [simplify]: iters left: 6 (8 enodes) 119.400 * * [simplify]: iters left: 5 (28 enodes) 119.410 * * [simplify]: iters left: 4 (52 enodes) 119.430 * * [simplify]: iters left: 3 (74 enodes) 119.453 * * [simplify]: iters left: 2 (77 enodes) 119.465 * * [simplify]: Extracting #0: cost 1 inf + 0 119.465 * * [simplify]: Extracting #1: cost 6 inf + 0 119.465 * * [simplify]: Extracting #2: cost 9 inf + 1 119.465 * * [simplify]: Extracting #3: cost 11 inf + 1 119.465 * * [simplify]: Extracting #4: cost 1 inf + 1214 119.466 * * [simplify]: Extracting #5: cost 0 inf + 1376 119.466 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 119.466 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 119.466 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 119.467 * * [simplify]: iters left: 6 (15 enodes) 119.472 * * [simplify]: iters left: 5 (62 enodes) 119.482 * * [simplify]: iters left: 4 (102 enodes) 119.501 * * [simplify]: iters left: 3 (166 enodes) 119.573 * * [simplify]: iters left: 2 (338 enodes) 119.696 * * [simplify]: Extracting #0: cost 1 inf + 0 119.696 * * [simplify]: Extracting #1: cost 57 inf + 0 119.696 * * [simplify]: Extracting #2: cost 141 inf + 1 119.697 * * [simplify]: Extracting #3: cost 188 inf + 3 119.699 * * [simplify]: Extracting #4: cost 168 inf + 3856 119.701 * * [simplify]: Extracting #5: cost 119 inf + 16285 119.717 * * [simplify]: Extracting #6: cost 18 inf + 82990 119.744 * * [simplify]: Extracting #7: cost 1 inf + 96593 119.758 * * [simplify]: Extracting #8: cost 0 inf + 96998 119.771 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 119.771 * [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))))) 119.771 * * * * [progress]: [ 197 / 315 ] simplifiying candidate # 119.771 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 119.772 * * [simplify]: iters left: 6 (17 enodes) 119.778 * * [simplify]: iters left: 5 (73 enodes) 119.796 * * [simplify]: iters left: 4 (128 enodes) 119.819 * * [simplify]: iters left: 3 (244 enodes) 119.879 * * [simplify]: Extracting #0: cost 1 inf + 0 119.879 * * [simplify]: Extracting #1: cost 42 inf + 0 119.879 * * [simplify]: Extracting #2: cost 115 inf + 1 119.880 * * [simplify]: Extracting #3: cost 155 inf + 2 119.880 * * [simplify]: Extracting #4: cost 151 inf + 1268 119.882 * * [simplify]: Extracting #5: cost 91 inf + 14403 119.897 * * [simplify]: Extracting #6: cost 34 inf + 40731 119.915 * * [simplify]: Extracting #7: cost 1 inf + 64975 119.935 * * [simplify]: Extracting #8: cost 0 inf + 66095 119.953 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 119.953 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 119.954 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 119.954 * * [simplify]: iters left: 6 (16 enodes) 119.963 * * [simplify]: iters left: 5 (68 enodes) 119.978 * * [simplify]: iters left: 4 (115 enodes) 119.997 * * [simplify]: iters left: 3 (196 enodes) 120.046 * * [simplify]: iters left: 2 (402 enodes) 120.199 * * [simplify]: Extracting #0: cost 1 inf + 0 120.200 * * [simplify]: Extracting #1: cost 47 inf + 0 120.200 * * [simplify]: Extracting #2: cost 129 inf + 1 120.202 * * [simplify]: Extracting #3: cost 189 inf + 3 120.203 * * [simplify]: Extracting #4: cost 186 inf + 1047 120.209 * * [simplify]: Extracting #5: cost 123 inf + 18077 120.227 * * [simplify]: Extracting #6: cost 26 inf + 74485 120.254 * * [simplify]: Extracting #7: cost 0 inf + 93010 120.281 * * [simplify]: Extracting #8: cost 0 inf + 92628 120.305 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 120.305 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 120.305 * * * * [progress]: [ 198 / 315 ] simplifiying candidate # 120.305 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 120.305 * * [simplify]: iters left: 6 (13 enodes) 120.310 * * [simplify]: iters left: 5 (53 enodes) 120.322 * * [simplify]: iters left: 4 (89 enodes) 120.338 * * [simplify]: iters left: 3 (146 enodes) 120.399 * * [simplify]: iters left: 2 (298 enodes) 120.509 * * [simplify]: Extracting #0: cost 1 inf + 0 120.509 * * [simplify]: Extracting #1: cost 45 inf + 0 120.510 * * [simplify]: Extracting #2: cost 128 inf + 1 120.511 * * [simplify]: Extracting #3: cost 173 inf + 4 120.512 * * [simplify]: Extracting #4: cost 166 inf + 1034 120.515 * * [simplify]: Extracting #5: cost 120 inf + 8370 120.526 * * [simplify]: Extracting #6: cost 41 inf + 53729 120.545 * * [simplify]: Extracting #7: cost 0 inf + 82109 120.566 * * [simplify]: Extracting #8: cost 0 inf + 80336 120.586 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 120.587 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 120.587 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 120.587 * * [simplify]: iters left: 6 (13 enodes) 120.595 * * [simplify]: iters left: 5 (53 enodes) 120.612 * * [simplify]: iters left: 4 (89 enodes) 120.641 * * [simplify]: iters left: 3 (146 enodes) 120.680 * * [simplify]: iters left: 2 (298 enodes) 120.794 * * [simplify]: Extracting #0: cost 1 inf + 0 120.794 * * [simplify]: Extracting #1: cost 45 inf + 0 120.794 * * [simplify]: Extracting #2: cost 125 inf + 1 120.795 * * [simplify]: Extracting #3: cost 170 inf + 3 120.796 * * [simplify]: Extracting #4: cost 162 inf + 876 120.797 * * [simplify]: Extracting #5: cost 119 inf + 7158 120.802 * * [simplify]: Extracting #6: cost 55 inf + 43062 120.822 * * [simplify]: Extracting #7: cost 2 inf + 84464 120.836 * * [simplify]: Extracting #8: cost 0 inf + 84397 120.849 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 120.849 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 120.849 * * * * [progress]: [ 199 / 315 ] simplifiying candidate # 120.849 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 120.849 * * [simplify]: iters left: 6 (18 enodes) 120.860 * * [simplify]: iters left: 5 (74 enodes) 120.884 * * [simplify]: iters left: 4 (116 enodes) 120.922 * * [simplify]: iters left: 3 (175 enodes) 120.969 * * [simplify]: iters left: 2 (285 enodes) 121.041 * * [simplify]: iters left: 1 (474 enodes) 121.182 * * [simplify]: Extracting #0: cost 1 inf + 0 121.182 * * [simplify]: Extracting #1: cost 10 inf + 0 121.182 * * [simplify]: Extracting #2: cost 19 inf + 1 121.183 * * [simplify]: Extracting #3: cost 47 inf + 1 121.183 * * [simplify]: Extracting #4: cost 118 inf + 528 121.185 * * [simplify]: Extracting #5: cost 158 inf + 1521 121.190 * * [simplify]: Extracting #6: cost 93 inf + 12479 121.204 * * [simplify]: Extracting #7: cost 20 inf + 48133 121.229 * * [simplify]: Extracting #8: cost 0 inf + 64623 121.242 * * [simplify]: Extracting #9: cost 0 inf + 64542 121.252 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) 121.252 * [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))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 121.253 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.253 * * [simplify]: iters left: 6 (16 enodes) 121.258 * * [simplify]: iters left: 5 (65 enodes) 121.274 * * [simplify]: iters left: 4 (101 enodes) 121.295 * * [simplify]: iters left: 3 (145 enodes) 121.324 * * [simplify]: iters left: 2 (246 enodes) 121.385 * * [simplify]: iters left: 1 (410 enodes) 121.519 * * [simplify]: Extracting #0: cost 1 inf + 0 121.519 * * [simplify]: Extracting #1: cost 7 inf + 0 121.519 * * [simplify]: Extracting #2: cost 12 inf + 1 121.519 * * [simplify]: Extracting #3: cost 37 inf + 1 121.520 * * [simplify]: Extracting #4: cost 101 inf + 407 121.521 * * [simplify]: Extracting #5: cost 141 inf + 1318 121.527 * * [simplify]: Extracting #6: cost 75 inf + 18790 121.543 * * [simplify]: Extracting #7: cost 4 inf + 55942 121.563 * * [simplify]: Extracting #8: cost 0 inf + 57684 121.581 * * [simplify]: Extracting #9: cost 0 inf + 57564 121.599 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 121.599 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 121.599 * * * * [progress]: [ 200 / 315 ] simplifiying candidate # 121.599 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.599 * * [simplify]: iters left: 6 (17 enodes) 121.604 * * [simplify]: iters left: 5 (69 enodes) 121.615 * * [simplify]: iters left: 4 (106 enodes) 121.634 * * [simplify]: iters left: 3 (154 enodes) 121.661 * * [simplify]: iters left: 2 (258 enodes) 121.708 * * [simplify]: iters left: 1 (419 enodes) 121.885 * * [simplify]: Extracting #0: cost 1 inf + 0 121.885 * * [simplify]: Extracting #1: cost 7 inf + 0 121.885 * * [simplify]: Extracting #2: cost 14 inf + 1 121.885 * * [simplify]: Extracting #3: cost 42 inf + 1 121.886 * * [simplify]: Extracting #4: cost 111 inf + 407 121.887 * * [simplify]: Extracting #5: cost 157 inf + 1480 121.891 * * [simplify]: Extracting #6: cost 97 inf + 8568 121.903 * * [simplify]: Extracting #7: cost 22 inf + 44733 121.913 * * [simplify]: Extracting #8: cost 0 inf + 59069 121.926 * * [simplify]: Extracting #9: cost 0 inf + 57542 121.936 * * [simplify]: Extracting #10: cost 0 inf + 57117 121.947 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 121.947 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 121.947 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.947 * * [simplify]: iters left: 6 (16 enodes) 121.955 * * [simplify]: iters left: 5 (65 enodes) 121.976 * * [simplify]: iters left: 4 (102 enodes) 122.002 * * [simplify]: iters left: 3 (146 enodes) 122.043 * * [simplify]: iters left: 2 (248 enodes) 122.110 * * [simplify]: iters left: 1 (406 enodes) 122.588 * * [simplify]: Extracting #0: cost 1 inf + 0 122.588 * * [simplify]: Extracting #1: cost 7 inf + 0 122.588 * * [simplify]: Extracting #2: cost 13 inf + 1 122.588 * * [simplify]: Extracting #3: cost 45 inf + 1 122.589 * * [simplify]: Extracting #4: cost 120 inf + 407 122.589 * * [simplify]: Extracting #5: cost 138 inf + 1691 122.591 * * [simplify]: Extracting #6: cost 95 inf + 7161 122.598 * * [simplify]: Extracting #7: cost 31 inf + 37856 122.613 * * [simplify]: Extracting #8: cost 0 inf + 64410 122.622 * * [simplify]: Extracting #9: cost 0 inf + 63833 122.633 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))) 122.633 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 122.633 * * * * [progress]: [ 201 / 315 ] simplifiying candidate # 122.633 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 122.633 * * [simplify]: iters left: 6 (8 enodes) 122.636 * * [simplify]: iters left: 5 (26 enodes) 122.640 * * [simplify]: iters left: 4 (32 enodes) 122.647 * * [simplify]: Extracting #0: cost 1 inf + 0 122.647 * * [simplify]: Extracting #1: cost 4 inf + 0 122.647 * * [simplify]: Extracting #2: cost 6 inf + 1 122.647 * * [simplify]: Extracting #3: cost 9 inf + 1 122.647 * * [simplify]: Extracting #4: cost 4 inf + 487 122.647 * * [simplify]: Extracting #5: cost 0 inf + 972 122.648 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 122.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 122.648 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 122.648 * * [simplify]: iters left: 6 (15 enodes) 122.658 * * [simplify]: iters left: 5 (62 enodes) 122.675 * * [simplify]: iters left: 4 (102 enodes) 122.696 * * [simplify]: iters left: 3 (166 enodes) 122.747 * * [simplify]: iters left: 2 (338 enodes) 122.869 * * [simplify]: Extracting #0: cost 1 inf + 0 122.869 * * [simplify]: Extracting #1: cost 57 inf + 0 122.869 * * [simplify]: Extracting #2: cost 141 inf + 1 122.870 * * [simplify]: Extracting #3: cost 188 inf + 3 122.871 * * [simplify]: Extracting #4: cost 168 inf + 3936 122.874 * * [simplify]: Extracting #5: cost 119 inf + 16365 122.885 * * [simplify]: Extracting #6: cost 18 inf + 83070 122.911 * * [simplify]: Extracting #7: cost 1 inf + 96673 122.926 * * [simplify]: Extracting #8: cost 0 inf + 97078 122.939 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 122.939 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 122.939 * * * * [progress]: [ 202 / 315 ] simplifiying candidate # 122.939 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 122.939 * * [simplify]: iters left: 6 (17 enodes) 122.945 * * [simplify]: iters left: 5 (72 enodes) 122.959 * * [simplify]: iters left: 4 (116 enodes) 122.988 * * [simplify]: iters left: 3 (191 enodes) 123.063 * * [simplify]: iters left: 2 (380 enodes) 123.246 * * [simplify]: Extracting #0: cost 1 inf + 0 123.246 * * [simplify]: Extracting #1: cost 43 inf + 0 123.246 * * [simplify]: Extracting #2: cost 127 inf + 1 123.247 * * [simplify]: Extracting #3: cost 190 inf + 3 123.248 * * [simplify]: Extracting #4: cost 178 inf + 2475 123.250 * * [simplify]: Extracting #5: cost 125 inf + 11606 123.258 * * [simplify]: Extracting #6: cost 52 inf + 53264 123.279 * * [simplify]: Extracting #7: cost 5 inf + 88513 123.295 * * [simplify]: Extracting #8: cost 0 inf + 92871 123.311 * [simplify]: Simplified to (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) 123.311 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 123.312 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 123.312 * * [simplify]: iters left: 6 (16 enodes) 123.322 * * [simplify]: iters left: 5 (68 enodes) 123.344 * * [simplify]: iters left: 4 (115 enodes) 123.376 * * [simplify]: iters left: 3 (196 enodes) 123.435 * * [simplify]: iters left: 2 (402 enodes) 123.570 * * [simplify]: Extracting #0: cost 1 inf + 0 123.571 * * [simplify]: Extracting #1: cost 47 inf + 0 123.571 * * [simplify]: Extracting #2: cost 129 inf + 1 123.572 * * [simplify]: Extracting #3: cost 189 inf + 3 123.573 * * [simplify]: Extracting #4: cost 186 inf + 1127 123.579 * * [simplify]: Extracting #5: cost 123 inf + 18157 123.598 * * [simplify]: Extracting #6: cost 26 inf + 74565 123.624 * * [simplify]: Extracting #7: cost 0 inf + 93090 123.652 * * [simplify]: Extracting #8: cost 0 inf + 92708 123.670 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 123.671 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 123.671 * * * * [progress]: [ 203 / 315 ] simplifiying candidate # 123.671 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 123.671 * * [simplify]: iters left: 6 (12 enodes) 123.675 * * [simplify]: iters left: 5 (49 enodes) 123.684 * * [simplify]: iters left: 4 (85 enodes) 123.705 * * [simplify]: iters left: 3 (146 enodes) 123.768 * * [simplify]: iters left: 2 (306 enodes) 123.914 * * [simplify]: Extracting #0: cost 1 inf + 0 123.914 * * [simplify]: Extracting #1: cost 45 inf + 0 123.914 * * [simplify]: Extracting #2: cost 138 inf + 1 123.915 * * [simplify]: Extracting #3: cost 181 inf + 4 123.916 * * [simplify]: Extracting #4: cost 166 inf + 3294 123.919 * * [simplify]: Extracting #5: cost 98 inf + 22839 123.930 * * [simplify]: Extracting #6: cost 15 inf + 72079 123.941 * * [simplify]: Extracting #7: cost 0 inf + 81271 123.961 * * [simplify]: Extracting #8: cost 0 inf + 81007 123.976 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 123.976 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 123.976 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 123.976 * * [simplify]: iters left: 6 (13 enodes) 123.981 * * [simplify]: iters left: 5 (53 enodes) 123.990 * * [simplify]: iters left: 4 (89 enodes) 124.004 * * [simplify]: iters left: 3 (146 enodes) 124.048 * * [simplify]: iters left: 2 (298 enodes) 124.153 * * [simplify]: Extracting #0: cost 1 inf + 0 124.153 * * [simplify]: Extracting #1: cost 45 inf + 0 124.154 * * [simplify]: Extracting #2: cost 125 inf + 1 124.155 * * [simplify]: Extracting #3: cost 170 inf + 3 124.157 * * [simplify]: Extracting #4: cost 162 inf + 756 124.160 * * [simplify]: Extracting #5: cost 119 inf + 6798 124.170 * * [simplify]: Extracting #6: cost 55 inf + 41462 124.190 * * [simplify]: Extracting #7: cost 2 inf + 81304 124.216 * * [simplify]: Extracting #8: cost 0 inf + 81157 124.233 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 124.233 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 124.233 * * * * [progress]: [ 204 / 315 ] simplifiying candidate # 124.233 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 124.234 * * [simplify]: iters left: 6 (17 enodes) 124.239 * * [simplify]: iters left: 5 (70 enodes) 124.250 * * [simplify]: iters left: 4 (112 enodes) 124.269 * * [simplify]: iters left: 3 (170 enodes) 124.321 * * [simplify]: iters left: 2 (280 enodes) 124.396 * * [simplify]: iters left: 1 (458 enodes) 124.554 * * [simplify]: Extracting #0: cost 1 inf + 0 124.554 * * [simplify]: Extracting #1: cost 10 inf + 0 124.554 * * [simplify]: Extracting #2: cost 18 inf + 1 124.554 * * [simplify]: Extracting #3: cost 44 inf + 1 124.555 * * [simplify]: Extracting #4: cost 112 inf + 369 124.555 * * [simplify]: Extracting #5: cost 162 inf + 873 124.559 * * [simplify]: Extracting #6: cost 105 inf + 10420 124.572 * * [simplify]: Extracting #7: cost 33 inf + 38914 124.588 * * [simplify]: Extracting #8: cost 0 inf + 68170 124.599 * * [simplify]: Extracting #9: cost 0 inf + 66888 124.622 * * [simplify]: Extracting #10: cost 0 inf + 65228 124.647 * * [simplify]: Extracting #11: cost 0 inf + 64864 124.671 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 124.671 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 124.671 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 124.671 * * [simplify]: iters left: 6 (16 enodes) 124.680 * * [simplify]: iters left: 5 (65 enodes) 124.701 * * [simplify]: iters left: 4 (101 enodes) 124.732 * * [simplify]: iters left: 3 (145 enodes) 124.786 * * [simplify]: iters left: 2 (246 enodes) 124.871 * * [simplify]: iters left: 1 (410 enodes) 124.993 * * [simplify]: Extracting #0: cost 1 inf + 0 124.993 * * [simplify]: Extracting #1: cost 7 inf + 0 124.993 * * [simplify]: Extracting #2: cost 12 inf + 1 124.994 * * [simplify]: Extracting #3: cost 37 inf + 1 124.994 * * [simplify]: Extracting #4: cost 101 inf + 247 124.996 * * [simplify]: Extracting #5: cost 141 inf + 1078 125.001 * * [simplify]: Extracting #6: cost 75 inf + 18550 125.014 * * [simplify]: Extracting #7: cost 4 inf + 55542 125.024 * * [simplify]: Extracting #8: cost 0 inf + 57284 125.033 * * [simplify]: Extracting #9: cost 0 inf + 57164 125.043 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 125.043 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 125.043 * * * * [progress]: [ 205 / 315 ] simplifiying candidate # 125.044 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 125.044 * * [simplify]: iters left: 6 (16 enodes) 125.049 * * [simplify]: iters left: 5 (65 enodes) 125.069 * * [simplify]: iters left: 4 (102 enodes) 125.105 * * [simplify]: iters left: 3 (146 enodes) 125.145 * * [simplify]: iters left: 2 (248 enodes) 125.221 * * [simplify]: iters left: 1 (406 enodes) 125.343 * * [simplify]: Extracting #0: cost 1 inf + 0 125.343 * * [simplify]: Extracting #1: cost 7 inf + 0 125.343 * * [simplify]: Extracting #2: cost 13 inf + 1 125.343 * * [simplify]: Extracting #3: cost 45 inf + 1 125.343 * * [simplify]: Extracting #4: cost 120 inf + 247 125.344 * * [simplify]: Extracting #5: cost 138 inf + 1451 125.346 * * [simplify]: Extracting #6: cost 95 inf + 6921 125.351 * * [simplify]: Extracting #7: cost 31 inf + 37456 125.360 * * [simplify]: Extracting #8: cost 0 inf + 64010 125.369 * * [simplify]: Extracting #9: cost 0 inf + 63433 125.388 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 125.388 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 125.389 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 125.389 * * [simplify]: iters left: 6 (16 enodes) 125.402 * * [simplify]: iters left: 5 (65 enodes) 125.424 * * [simplify]: iters left: 4 (102 enodes) 125.443 * * [simplify]: iters left: 3 (146 enodes) 125.478 * * [simplify]: iters left: 2 (248 enodes) 125.567 * * [simplify]: iters left: 1 (406 enodes) 125.688 * * [simplify]: Extracting #0: cost 1 inf + 0 125.688 * * [simplify]: Extracting #1: cost 7 inf + 0 125.688 * * [simplify]: Extracting #2: cost 13 inf + 1 125.688 * * [simplify]: Extracting #3: cost 45 inf + 1 125.689 * * [simplify]: Extracting #4: cost 120 inf + 247 125.690 * * [simplify]: Extracting #5: cost 138 inf + 1451 125.694 * * [simplify]: Extracting #6: cost 95 inf + 6921 125.704 * * [simplify]: Extracting #7: cost 31 inf + 37456 125.722 * * [simplify]: Extracting #8: cost 0 inf + 64010 125.744 * * [simplify]: Extracting #9: cost 0 inf + 63433 125.763 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 125.764 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 125.764 * * * * [progress]: [ 206 / 315 ] simplifiying candidate # 125.764 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 125.764 * * [simplify]: iters left: 6 (7 enodes) 125.770 * * [simplify]: iters left: 5 (23 enodes) 125.777 * * [simplify]: iters left: 4 (27 enodes) 125.784 * * [simplify]: Extracting #0: cost 1 inf + 0 125.784 * * [simplify]: Extracting #1: cost 4 inf + 0 125.784 * * [simplify]: Extracting #2: cost 5 inf + 1 125.784 * * [simplify]: Extracting #3: cost 7 inf + 1 125.785 * * [simplify]: Extracting #4: cost 2 inf + 287 125.785 * * [simplify]: Extracting #5: cost 0 inf + 490 125.785 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 125.785 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 125.786 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 125.786 * * [simplify]: iters left: 6 (15 enodes) 125.793 * * [simplify]: iters left: 5 (62 enodes) 125.803 * * [simplify]: iters left: 4 (102 enodes) 125.829 * * [simplify]: iters left: 3 (166 enodes) 125.870 * * [simplify]: iters left: 2 (338 enodes) 126.030 * * [simplify]: Extracting #0: cost 1 inf + 0 126.030 * * [simplify]: Extracting #1: cost 57 inf + 0 126.031 * * [simplify]: Extracting #2: cost 141 inf + 1 126.031 * * [simplify]: Extracting #3: cost 188 inf + 3 126.032 * * [simplify]: Extracting #4: cost 168 inf + 3656 126.035 * * [simplify]: Extracting #5: cost 119 inf + 15725 126.048 * * [simplify]: Extracting #6: cost 18 inf + 80230 126.074 * * [simplify]: Extracting #7: cost 1 inf + 93193 126.100 * * [simplify]: Extracting #8: cost 0 inf + 93558 126.124 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 126.124 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 126.124 * * * * [progress]: [ 207 / 315 ] simplifiying candidate # 126.125 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 126.125 * * [simplify]: iters left: 6 (16 enodes) 126.129 * * [simplify]: iters left: 5 (68 enodes) 126.141 * * [simplify]: iters left: 4 (115 enodes) 126.160 * * [simplify]: iters left: 3 (196 enodes) 126.204 * * [simplify]: iters left: 2 (402 enodes) 126.351 * * [simplify]: Extracting #0: cost 1 inf + 0 126.351 * * [simplify]: Extracting #1: cost 47 inf + 0 126.351 * * [simplify]: Extracting #2: cost 129 inf + 1 126.352 * * [simplify]: Extracting #3: cost 189 inf + 3 126.353 * * [simplify]: Extracting #4: cost 186 inf + 1007 126.355 * * [simplify]: Extracting #5: cost 123 inf + 17637 126.365 * * [simplify]: Extracting #6: cost 26 inf + 72325 126.379 * * [simplify]: Extracting #7: cost 0 inf + 89930 126.403 * * [simplify]: Extracting #8: cost 0 inf + 89548 126.422 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 126.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 126.422 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 126.422 * * [simplify]: iters left: 6 (16 enodes) 126.430 * * [simplify]: iters left: 5 (68 enodes) 126.441 * * [simplify]: iters left: 4 (115 enodes) 126.480 * * [simplify]: iters left: 3 (196 enodes) 126.539 * * [simplify]: iters left: 2 (402 enodes) 126.711 * * [simplify]: Extracting #0: cost 1 inf + 0 126.711 * * [simplify]: Extracting #1: cost 47 inf + 0 126.712 * * [simplify]: Extracting #2: cost 129 inf + 1 126.713 * * [simplify]: Extracting #3: cost 189 inf + 3 126.715 * * [simplify]: Extracting #4: cost 186 inf + 1007 126.720 * * [simplify]: Extracting #5: cost 123 inf + 17637 126.731 * * [simplify]: Extracting #6: cost 26 inf + 72325 126.748 * * [simplify]: Extracting #7: cost 0 inf + 89930 126.769 * * [simplify]: Extracting #8: cost 0 inf + 89548 126.791 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 126.791 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 126.791 * * * * [progress]: [ 208 / 315 ] simplifiying candidate # 126.792 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 126.792 * * [simplify]: iters left: 6 (10 enodes) 126.796 * * [simplify]: iters left: 5 (43 enodes) 126.803 * * [simplify]: iters left: 4 (66 enodes) 126.815 * * [simplify]: iters left: 3 (104 enodes) 126.843 * * [simplify]: iters left: 2 (210 enodes) 126.906 * * [simplify]: iters left: 1 (428 enodes) 127.151 * * [simplify]: Extracting #0: cost 1 inf + 0 127.151 * * [simplify]: Extracting #1: cost 49 inf + 0 127.151 * * [simplify]: Extracting #2: cost 176 inf + 3 127.152 * * [simplify]: Extracting #3: cost 227 inf + 8 127.154 * * [simplify]: Extracting #4: cost 204 inf + 5591 127.163 * * [simplify]: Extracting #5: cost 79 inf + 56002 127.199 * * [simplify]: Extracting #6: cost 1 inf + 107838 127.234 * * [simplify]: Extracting #7: cost 0 inf + 105864 127.264 * * [simplify]: Extracting #8: cost 0 inf + 105669 127.305 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 127.306 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 127.306 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 127.306 * * [simplify]: iters left: 6 (12 enodes) 127.314 * * [simplify]: iters left: 5 (50 enodes) 127.331 * * [simplify]: iters left: 4 (86 enodes) 127.360 * * [simplify]: iters left: 3 (147 enodes) 127.402 * * [simplify]: iters left: 2 (300 enodes) 127.525 * * [simplify]: Extracting #0: cost 1 inf + 0 127.525 * * [simplify]: Extracting #1: cost 41 inf + 0 127.526 * * [simplify]: Extracting #2: cost 125 inf + 1 127.527 * * [simplify]: Extracting #3: cost 163 inf + 127 127.528 * * [simplify]: Extracting #4: cost 162 inf + 425 127.531 * * [simplify]: Extracting #5: cost 132 inf + 3989 127.538 * * [simplify]: Extracting #6: cost 68 inf + 31169 127.560 * * [simplify]: Extracting #7: cost 6 inf + 73091 127.580 * * [simplify]: Extracting #8: cost 0 inf + 74351 127.599 * * [simplify]: Extracting #9: cost 0 inf + 74220 127.619 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 127.619 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 127.619 * * * * [progress]: [ 209 / 315 ] simplifiying candidate # 127.619 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 127.620 * * [simplify]: iters left: 6 (15 enodes) 127.628 * * [simplify]: iters left: 5 (64 enodes) 127.640 * * [simplify]: iters left: 4 (102 enodes) 127.656 * * [simplify]: iters left: 3 (143 enodes) 127.695 * * [simplify]: iters left: 2 (223 enodes) 127.777 * * [simplify]: iters left: 1 (382 enodes) 127.894 * * [simplify]: Extracting #0: cost 1 inf + 0 127.894 * * [simplify]: Extracting #1: cost 6 inf + 0 127.894 * * [simplify]: Extracting #2: cost 9 inf + 1 127.894 * * [simplify]: Extracting #3: cost 30 inf + 1 127.894 * * [simplify]: Extracting #4: cost 95 inf + 2 127.895 * * [simplify]: Extracting #5: cost 140 inf + 176 127.895 * * [simplify]: Extracting #6: cost 134 inf + 726 127.898 * * [simplify]: Extracting #7: cost 69 inf + 14273 127.904 * * [simplify]: Extracting #8: cost 16 inf + 42552 127.913 * * [simplify]: Extracting #9: cost 0 inf + 57179 127.930 * * [simplify]: Extracting #10: cost 0 inf + 57019 127.948 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 127.948 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 127.948 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.948 * * [simplify]: iters left: 6 (15 enodes) 127.959 * * [simplify]: iters left: 5 (62 enodes) 127.979 * * [simplify]: iters left: 4 (98 enodes) 128.006 * * [simplify]: iters left: 3 (142 enodes) 128.039 * * [simplify]: iters left: 2 (243 enodes) 128.098 * * [simplify]: iters left: 1 (399 enodes) 128.220 * * [simplify]: Extracting #0: cost 1 inf + 0 128.220 * * [simplify]: Extracting #1: cost 7 inf + 0 128.221 * * [simplify]: Extracting #2: cost 12 inf + 1 128.221 * * [simplify]: Extracting #3: cost 32 inf + 166 128.221 * * [simplify]: Extracting #4: cost 99 inf + 249 128.222 * * [simplify]: Extracting #5: cost 133 inf + 1088 128.224 * * [simplify]: Extracting #6: cost 85 inf + 10118 128.230 * * [simplify]: Extracting #7: cost 23 inf + 41326 128.248 * * [simplify]: Extracting #8: cost 0 inf + 60801 128.267 * * [simplify]: Extracting #9: cost 0 inf + 60276 128.285 * * [simplify]: Extracting #10: cost 0 inf + 60066 128.303 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 128.303 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 128.303 * * * * [progress]: [ 210 / 315 ] simplifiying candidate # 128.304 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 128.304 * * [simplify]: iters left: 6 (14 enodes) 128.314 * * [simplify]: iters left: 5 (59 enodes) 128.324 * * [simplify]: iters left: 4 (93 enodes) 128.338 * * [simplify]: iters left: 3 (133 enodes) 128.361 * * [simplify]: iters left: 2 (204 enodes) 128.422 * * [simplify]: iters left: 1 (365 enodes) 128.585 * * [simplify]: Extracting #0: cost 1 inf + 0 128.585 * * [simplify]: Extracting #1: cost 6 inf + 0 128.586 * * [simplify]: Extracting #2: cost 33 inf + 1 128.586 * * [simplify]: Extracting #3: cost 116 inf + 2 128.587 * * [simplify]: Extracting #4: cost 153 inf + 177 128.589 * * [simplify]: Extracting #5: cost 148 inf + 519 128.592 * * [simplify]: Extracting #6: cost 91 inf + 6817 128.602 * * [simplify]: Extracting #7: cost 28 inf + 38560 128.620 * * [simplify]: Extracting #8: cost 2 inf + 58672 128.639 * * [simplify]: Extracting #9: cost 0 inf + 59571 128.662 * * [simplify]: Extracting #10: cost 0 inf + 59531 128.672 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 128.672 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 128.673 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 128.673 * * [simplify]: iters left: 6 (15 enodes) 128.678 * * [simplify]: iters left: 5 (62 enodes) 128.688 * * [simplify]: iters left: 4 (99 enodes) 128.703 * * [simplify]: iters left: 3 (146 enodes) 128.731 * * [simplify]: iters left: 2 (253 enodes) 128.790 * * [simplify]: iters left: 1 (409 enodes) 128.889 * * [simplify]: Extracting #0: cost 1 inf + 0 128.889 * * [simplify]: Extracting #1: cost 7 inf + 0 128.889 * * [simplify]: Extracting #2: cost 13 inf + 1 128.889 * * [simplify]: Extracting #3: cost 35 inf + 84 128.890 * * [simplify]: Extracting #4: cost 111 inf + 167 128.891 * * [simplify]: Extracting #5: cost 136 inf + 1459 128.896 * * [simplify]: Extracting #6: cost 83 inf + 11017 128.908 * * [simplify]: Extracting #7: cost 31 inf + 30439 128.916 * * [simplify]: Extracting #8: cost 0 inf + 55952 128.925 * * [simplify]: Extracting #9: cost 0 inf + 55390 128.936 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 128.936 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 128.936 * * * * [progress]: [ 211 / 315 ] simplifiying candidate # 128.936 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 128.936 * * [simplify]: iters left: 5 (4 enodes) 128.943 * * [simplify]: iters left: 4 (14 enodes) 128.946 * * [simplify]: iters left: 3 (16 enodes) 128.948 * * [simplify]: Extracting #0: cost 1 inf + 0 128.948 * * [simplify]: Extracting #1: cost 0 inf + 1 128.948 * [simplify]: Simplified to 1 128.948 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 128.948 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 128.948 * * [simplify]: iters left: 6 (14 enodes) 128.952 * * [simplify]: iters left: 5 (59 enodes) 128.962 * * [simplify]: iters left: 4 (103 enodes) 128.978 * * [simplify]: iters left: 3 (165 enodes) 129.012 * * [simplify]: iters left: 2 (314 enodes) 129.096 * * [simplify]: Extracting #0: cost 1 inf + 0 129.096 * * [simplify]: Extracting #1: cost 56 inf + 0 129.097 * * [simplify]: Extracting #2: cost 152 inf + 1 129.097 * * [simplify]: Extracting #3: cost 195 inf + 86 129.098 * * [simplify]: Extracting #4: cost 187 inf + 1215 129.100 * * [simplify]: Extracting #5: cost 137 inf + 11621 129.108 * * [simplify]: Extracting #6: cost 48 inf + 64325 129.133 * * [simplify]: Extracting #7: cost 1 inf + 98423 129.152 * * [simplify]: Extracting #8: cost 0 inf + 98696 129.165 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 129.165 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 129.165 * * * * [progress]: [ 212 / 315 ] simplifiying candidate # 129.165 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 129.165 * * [simplify]: iters left: 6 (14 enodes) 129.171 * * [simplify]: iters left: 5 (62 enodes) 129.187 * * [simplify]: iters left: 4 (103 enodes) 129.212 * * [simplify]: iters left: 3 (161 enodes) 129.246 * * [simplify]: iters left: 2 (285 enodes) 129.357 * * [simplify]: Extracting #0: cost 1 inf + 0 129.357 * * [simplify]: Extracting #1: cost 21 inf + 0 129.357 * * [simplify]: Extracting #2: cost 81 inf + 2 129.358 * * [simplify]: Extracting #3: cost 124 inf + 301 129.360 * * [simplify]: Extracting #4: cost 119 inf + 641 129.362 * * [simplify]: Extracting #5: cost 78 inf + 4948 129.369 * * [simplify]: Extracting #6: cost 30 inf + 21967 129.381 * * [simplify]: Extracting #7: cost 0 inf + 44180 129.393 * * [simplify]: Extracting #8: cost 0 inf + 44139 129.406 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 129.406 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 129.406 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 129.407 * * [simplify]: iters left: 6 (15 enodes) 129.416 * * [simplify]: iters left: 5 (65 enodes) 129.436 * * [simplify]: iters left: 4 (109 enodes) 129.470 * * [simplify]: iters left: 3 (183 enodes) 129.521 * * [simplify]: iters left: 2 (370 enodes) 129.647 * * [simplify]: Extracting #0: cost 1 inf + 0 129.647 * * [simplify]: Extracting #1: cost 42 inf + 0 129.647 * * [simplify]: Extracting #2: cost 132 inf + 1 129.653 * * [simplify]: Extracting #3: cost 186 inf + 127 129.655 * * [simplify]: Extracting #4: cost 179 inf + 2752 129.659 * * [simplify]: Extracting #5: cost 124 inf + 11902 129.676 * * [simplify]: Extracting #6: cost 25 inf + 73950 129.696 * * [simplify]: Extracting #7: cost 1 inf + 90027 129.709 * * [simplify]: Extracting #8: cost 0 inf + 90039 129.722 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 129.722 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 129.722 * * * * [progress]: [ 213 / 315 ] simplifiying candidate # 129.722 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 129.722 * * [simplify]: iters left: 6 (12 enodes) 129.726 * * [simplify]: iters left: 5 (49 enodes) 129.743 * * [simplify]: iters left: 4 (85 enodes) 129.765 * * [simplify]: iters left: 3 (146 enodes) 129.809 * * [simplify]: iters left: 2 (306 enodes) 129.943 * * [simplify]: Extracting #0: cost 1 inf + 0 129.944 * * [simplify]: Extracting #1: cost 45 inf + 0 129.944 * * [simplify]: Extracting #2: cost 138 inf + 1 129.945 * * [simplify]: Extracting #3: cost 181 inf + 4 129.947 * * [simplify]: Extracting #4: cost 166 inf + 3294 129.953 * * [simplify]: Extracting #5: cost 98 inf + 22839 129.973 * * [simplify]: Extracting #6: cost 15 inf + 72079 129.993 * * [simplify]: Extracting #7: cost 0 inf + 81271 130.014 * * [simplify]: Extracting #8: cost 0 inf + 81007 130.035 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 130.035 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 130.035 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 130.036 * * [simplify]: iters left: 6 (13 enodes) 130.043 * * [simplify]: iters left: 5 (53 enodes) 130.061 * * [simplify]: iters left: 4 (89 enodes) 130.082 * * [simplify]: iters left: 3 (146 enodes) 130.114 * * [simplify]: iters left: 2 (298 enodes) 130.207 * * [simplify]: Extracting #0: cost 1 inf + 0 130.208 * * [simplify]: Extracting #1: cost 45 inf + 0 130.208 * * [simplify]: Extracting #2: cost 125 inf + 1 130.209 * * [simplify]: Extracting #3: cost 170 inf + 3 130.211 * * [simplify]: Extracting #4: cost 162 inf + 756 130.214 * * [simplify]: Extracting #5: cost 119 inf + 6798 130.224 * * [simplify]: Extracting #6: cost 55 inf + 41462 130.244 * * [simplify]: Extracting #7: cost 2 inf + 81304 130.259 * * [simplify]: Extracting #8: cost 0 inf + 81157 130.270 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 130.270 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 130.270 * * * * [progress]: [ 214 / 315 ] simplifiying candidate # 130.271 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 130.271 * * [simplify]: iters left: 6 (17 enodes) 130.276 * * [simplify]: iters left: 5 (70 enodes) 130.296 * * [simplify]: iters left: 4 (112 enodes) 130.331 * * [simplify]: iters left: 3 (170 enodes) 130.395 * * [simplify]: iters left: 2 (280 enodes) 130.478 * * [simplify]: iters left: 1 (458 enodes) 130.650 * * [simplify]: Extracting #0: cost 1 inf + 0 130.650 * * [simplify]: Extracting #1: cost 10 inf + 0 130.650 * * [simplify]: Extracting #2: cost 18 inf + 1 130.650 * * [simplify]: Extracting #3: cost 44 inf + 1 130.651 * * [simplify]: Extracting #4: cost 112 inf + 369 130.653 * * [simplify]: Extracting #5: cost 162 inf + 873 130.657 * * [simplify]: Extracting #6: cost 105 inf + 10420 130.670 * * [simplify]: Extracting #7: cost 33 inf + 38914 130.691 * * [simplify]: Extracting #8: cost 0 inf + 68170 130.714 * * [simplify]: Extracting #9: cost 0 inf + 66888 130.740 * * [simplify]: Extracting #10: cost 0 inf + 65228 130.764 * * [simplify]: Extracting #11: cost 0 inf + 64864 130.787 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 130.787 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 130.788 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.788 * * [simplify]: iters left: 6 (16 enodes) 130.797 * * [simplify]: iters left: 5 (65 enodes) 130.814 * * [simplify]: iters left: 4 (101 enodes) 130.830 * * [simplify]: iters left: 3 (145 enodes) 130.857 * * [simplify]: iters left: 2 (246 enodes) 130.902 * * [simplify]: iters left: 1 (410 enodes) 131.050 * * [simplify]: Extracting #0: cost 1 inf + 0 131.050 * * [simplify]: Extracting #1: cost 7 inf + 0 131.050 * * [simplify]: Extracting #2: cost 12 inf + 1 131.050 * * [simplify]: Extracting #3: cost 37 inf + 1 131.051 * * [simplify]: Extracting #4: cost 101 inf + 247 131.051 * * [simplify]: Extracting #5: cost 141 inf + 1078 131.054 * * [simplify]: Extracting #6: cost 75 inf + 18550 131.063 * * [simplify]: Extracting #7: cost 4 inf + 55542 131.072 * * [simplify]: Extracting #8: cost 0 inf + 57284 131.082 * * [simplify]: Extracting #9: cost 0 inf + 57164 131.091 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 131.091 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 131.091 * * * * [progress]: [ 215 / 315 ] simplifiying candidate # 131.092 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 131.092 * * [simplify]: iters left: 6 (16 enodes) 131.096 * * [simplify]: iters left: 5 (65 enodes) 131.107 * * [simplify]: iters left: 4 (102 enodes) 131.125 * * [simplify]: iters left: 3 (146 enodes) 131.169 * * [simplify]: iters left: 2 (248 enodes) 131.252 * * [simplify]: iters left: 1 (406 enodes) 131.386 * * [simplify]: Extracting #0: cost 1 inf + 0 131.386 * * [simplify]: Extracting #1: cost 7 inf + 0 131.386 * * [simplify]: Extracting #2: cost 13 inf + 1 131.386 * * [simplify]: Extracting #3: cost 45 inf + 1 131.387 * * [simplify]: Extracting #4: cost 120 inf + 247 131.388 * * [simplify]: Extracting #5: cost 138 inf + 1451 131.392 * * [simplify]: Extracting #6: cost 95 inf + 6921 131.402 * * [simplify]: Extracting #7: cost 31 inf + 37456 131.419 * * [simplify]: Extracting #8: cost 0 inf + 64010 131.438 * * [simplify]: Extracting #9: cost 0 inf + 63433 131.460 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 131.460 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 131.460 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 131.460 * * [simplify]: iters left: 6 (16 enodes) 131.469 * * [simplify]: iters left: 5 (65 enodes) 131.490 * * [simplify]: iters left: 4 (102 enodes) 131.521 * * [simplify]: iters left: 3 (146 enodes) 131.570 * * [simplify]: iters left: 2 (248 enodes) 131.630 * * [simplify]: iters left: 1 (406 enodes) 131.735 * * [simplify]: Extracting #0: cost 1 inf + 0 131.736 * * [simplify]: Extracting #1: cost 7 inf + 0 131.736 * * [simplify]: Extracting #2: cost 13 inf + 1 131.736 * * [simplify]: Extracting #3: cost 45 inf + 1 131.737 * * [simplify]: Extracting #4: cost 120 inf + 247 131.738 * * [simplify]: Extracting #5: cost 138 inf + 1451 131.742 * * [simplify]: Extracting #6: cost 95 inf + 6921 131.752 * * [simplify]: Extracting #7: cost 31 inf + 37456 131.770 * * [simplify]: Extracting #8: cost 0 inf + 64010 131.793 * * [simplify]: Extracting #9: cost 0 inf + 63433 131.812 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 131.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 131.813 * * * * [progress]: [ 216 / 315 ] simplifiying candidate # 131.813 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 131.813 * * [simplify]: iters left: 6 (7 enodes) 131.818 * * [simplify]: iters left: 5 (23 enodes) 131.826 * * [simplify]: iters left: 4 (27 enodes) 131.833 * * [simplify]: Extracting #0: cost 1 inf + 0 131.833 * * [simplify]: Extracting #1: cost 4 inf + 0 131.834 * * [simplify]: Extracting #2: cost 5 inf + 1 131.834 * * [simplify]: Extracting #3: cost 7 inf + 1 131.834 * * [simplify]: Extracting #4: cost 2 inf + 287 131.834 * * [simplify]: Extracting #5: cost 0 inf + 490 131.834 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 131.834 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 131.835 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 131.835 * * [simplify]: iters left: 6 (15 enodes) 131.844 * * [simplify]: iters left: 5 (62 enodes) 131.865 * * [simplify]: iters left: 4 (102 enodes) 131.895 * * [simplify]: iters left: 3 (166 enodes) 131.947 * * [simplify]: iters left: 2 (338 enodes) 132.065 * * [simplify]: Extracting #0: cost 1 inf + 0 132.066 * * [simplify]: Extracting #1: cost 57 inf + 0 132.067 * * [simplify]: Extracting #2: cost 141 inf + 1 132.068 * * [simplify]: Extracting #3: cost 188 inf + 3 132.071 * * [simplify]: Extracting #4: cost 168 inf + 3656 132.077 * * [simplify]: Extracting #5: cost 119 inf + 15725 132.100 * * [simplify]: Extracting #6: cost 18 inf + 80230 132.127 * * [simplify]: Extracting #7: cost 1 inf + 93193 132.143 * * [simplify]: Extracting #8: cost 0 inf + 93558 132.157 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 132.157 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 132.157 * * * * [progress]: [ 217 / 315 ] simplifiying candidate # 132.157 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 132.157 * * [simplify]: iters left: 6 (16 enodes) 132.162 * * [simplify]: iters left: 5 (68 enodes) 132.186 * * [simplify]: iters left: 4 (115 enodes) 132.219 * * [simplify]: iters left: 3 (196 enodes) 132.262 * * [simplify]: iters left: 2 (402 enodes) 132.404 * * [simplify]: Extracting #0: cost 1 inf + 0 132.404 * * [simplify]: Extracting #1: cost 47 inf + 0 132.405 * * [simplify]: Extracting #2: cost 129 inf + 1 132.406 * * [simplify]: Extracting #3: cost 189 inf + 3 132.408 * * [simplify]: Extracting #4: cost 186 inf + 1007 132.413 * * [simplify]: Extracting #5: cost 123 inf + 17637 132.432 * * [simplify]: Extracting #6: cost 26 inf + 72325 132.459 * * [simplify]: Extracting #7: cost 0 inf + 89930 132.487 * * [simplify]: Extracting #8: cost 0 inf + 89548 132.502 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 132.502 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 132.503 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 132.505 * * [simplify]: iters left: 6 (16 enodes) 132.511 * * [simplify]: iters left: 5 (68 enodes) 132.523 * * [simplify]: iters left: 4 (115 enodes) 132.563 * * [simplify]: iters left: 3 (196 enodes) 132.620 * * [simplify]: iters left: 2 (402 enodes) 132.746 * * [simplify]: Extracting #0: cost 1 inf + 0 132.746 * * [simplify]: Extracting #1: cost 47 inf + 0 132.747 * * [simplify]: Extracting #2: cost 129 inf + 1 132.747 * * [simplify]: Extracting #3: cost 189 inf + 3 132.748 * * [simplify]: Extracting #4: cost 186 inf + 1007 132.750 * * [simplify]: Extracting #5: cost 123 inf + 17637 132.760 * * [simplify]: Extracting #6: cost 26 inf + 72325 132.789 * * [simplify]: Extracting #7: cost 0 inf + 89930 132.814 * * [simplify]: Extracting #8: cost 0 inf + 89548 132.828 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 132.828 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 132.828 * * * * [progress]: [ 218 / 315 ] simplifiying candidate # 132.828 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 132.828 * * [simplify]: iters left: 6 (10 enodes) 132.832 * * [simplify]: iters left: 5 (43 enodes) 132.839 * * [simplify]: iters left: 4 (66 enodes) 132.850 * * [simplify]: iters left: 3 (104 enodes) 132.871 * * [simplify]: iters left: 2 (210 enodes) 132.928 * * [simplify]: iters left: 1 (428 enodes) 133.216 * * [simplify]: Extracting #0: cost 1 inf + 0 133.217 * * [simplify]: Extracting #1: cost 49 inf + 0 133.218 * * [simplify]: Extracting #2: cost 176 inf + 3 133.220 * * [simplify]: Extracting #3: cost 227 inf + 8 133.222 * * [simplify]: Extracting #4: cost 204 inf + 5591 133.231 * * [simplify]: Extracting #5: cost 79 inf + 56002 133.258 * * [simplify]: Extracting #6: cost 1 inf + 107838 133.299 * * [simplify]: Extracting #7: cost 0 inf + 105864 133.341 * * [simplify]: Extracting #8: cost 0 inf + 105669 133.381 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 133.382 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 133.382 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 133.382 * * [simplify]: iters left: 6 (12 enodes) 133.390 * * [simplify]: iters left: 5 (50 enodes) 133.406 * * [simplify]: iters left: 4 (86 enodes) 133.422 * * [simplify]: iters left: 3 (147 enodes) 133.461 * * [simplify]: iters left: 2 (300 enodes) 133.624 * * [simplify]: Extracting #0: cost 1 inf + 0 133.625 * * [simplify]: Extracting #1: cost 41 inf + 0 133.625 * * [simplify]: Extracting #2: cost 125 inf + 1 133.626 * * [simplify]: Extracting #3: cost 163 inf + 127 133.628 * * [simplify]: Extracting #4: cost 162 inf + 425 133.630 * * [simplify]: Extracting #5: cost 132 inf + 3989 133.637 * * [simplify]: Extracting #6: cost 68 inf + 31169 133.658 * * [simplify]: Extracting #7: cost 6 inf + 73091 133.672 * * [simplify]: Extracting #8: cost 0 inf + 74351 133.682 * * [simplify]: Extracting #9: cost 0 inf + 74220 133.692 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 133.693 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 133.693 * * * * [progress]: [ 219 / 315 ] simplifiying candidate # 133.693 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 133.693 * * [simplify]: iters left: 6 (15 enodes) 133.698 * * [simplify]: iters left: 5 (64 enodes) 133.709 * * [simplify]: iters left: 4 (99 enodes) 133.738 * * [simplify]: iters left: 3 (138 enodes) 133.777 * * [simplify]: iters left: 2 (214 enodes) 133.837 * * [simplify]: iters left: 1 (383 enodes) 133.979 * * [simplify]: Extracting #0: cost 1 inf + 0 133.979 * * [simplify]: Extracting #1: cost 6 inf + 0 133.979 * * [simplify]: Extracting #2: cost 9 inf + 1 133.979 * * [simplify]: Extracting #3: cost 32 inf + 1 133.979 * * [simplify]: Extracting #4: cost 107 inf + 2 133.980 * * [simplify]: Extracting #5: cost 154 inf + 176 133.981 * * [simplify]: Extracting #6: cost 152 inf + 478 133.982 * * [simplify]: Extracting #7: cost 102 inf + 5687 133.986 * * [simplify]: Extracting #8: cost 48 inf + 23469 133.993 * * [simplify]: Extracting #9: cost 8 inf + 56054 134.011 * * [simplify]: Extracting #10: cost 0 inf + 62389 134.030 * * [simplify]: Extracting #11: cost 0 inf + 62098 134.043 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 134.043 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 134.044 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 134.044 * * [simplify]: iters left: 6 (15 enodes) 134.049 * * [simplify]: iters left: 5 (62 enodes) 134.067 * * [simplify]: iters left: 4 (98 enodes) 134.091 * * [simplify]: iters left: 3 (142 enodes) 134.121 * * [simplify]: iters left: 2 (243 enodes) 134.185 * * [simplify]: iters left: 1 (399 enodes) 134.298 * * [simplify]: Extracting #0: cost 1 inf + 0 134.298 * * [simplify]: Extracting #1: cost 7 inf + 0 134.298 * * [simplify]: Extracting #2: cost 12 inf + 1 134.298 * * [simplify]: Extracting #3: cost 32 inf + 166 134.299 * * [simplify]: Extracting #4: cost 99 inf + 249 134.300 * * [simplify]: Extracting #5: cost 133 inf + 1088 134.305 * * [simplify]: Extracting #6: cost 85 inf + 10118 134.317 * * [simplify]: Extracting #7: cost 23 inf + 41326 134.335 * * [simplify]: Extracting #8: cost 0 inf + 60801 134.352 * * [simplify]: Extracting #9: cost 0 inf + 60276 134.373 * * [simplify]: Extracting #10: cost 0 inf + 60066 134.391 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 134.391 * [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 (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 134.391 * * * * [progress]: [ 220 / 315 ] simplifiying candidate # 134.391 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 134.391 * * [simplify]: iters left: 6 (14 enodes) 134.396 * * [simplify]: iters left: 5 (59 enodes) 134.405 * * [simplify]: iters left: 4 (93 enodes) 134.420 * * [simplify]: iters left: 3 (133 enodes) 134.458 * * [simplify]: iters left: 2 (204 enodes) 134.533 * * [simplify]: iters left: 1 (365 enodes) 134.690 * * [simplify]: Extracting #0: cost 1 inf + 0 134.690 * * [simplify]: Extracting #1: cost 6 inf + 0 134.690 * * [simplify]: Extracting #2: cost 33 inf + 1 134.691 * * [simplify]: Extracting #3: cost 116 inf + 2 134.692 * * [simplify]: Extracting #4: cost 153 inf + 177 134.694 * * [simplify]: Extracting #5: cost 148 inf + 519 134.697 * * [simplify]: Extracting #6: cost 91 inf + 6817 134.708 * * [simplify]: Extracting #7: cost 28 inf + 38560 134.726 * * [simplify]: Extracting #8: cost 2 inf + 58672 134.736 * * [simplify]: Extracting #9: cost 0 inf + 59571 134.746 * * [simplify]: Extracting #10: cost 0 inf + 59531 134.761 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 134.761 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 134.761 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 134.762 * * [simplify]: iters left: 6 (15 enodes) 134.772 * * [simplify]: iters left: 5 (62 enodes) 134.792 * * [simplify]: iters left: 4 (99 enodes) 134.822 * * [simplify]: iters left: 3 (146 enodes) 134.873 * * [simplify]: iters left: 2 (253 enodes) 134.934 * * [simplify]: iters left: 1 (409 enodes) 135.056 * * [simplify]: Extracting #0: cost 1 inf + 0 135.056 * * [simplify]: Extracting #1: cost 7 inf + 0 135.057 * * [simplify]: Extracting #2: cost 13 inf + 1 135.057 * * [simplify]: Extracting #3: cost 35 inf + 84 135.057 * * [simplify]: Extracting #4: cost 111 inf + 167 135.059 * * [simplify]: Extracting #5: cost 136 inf + 1459 135.064 * * [simplify]: Extracting #6: cost 83 inf + 11017 135.074 * * [simplify]: Extracting #7: cost 31 inf + 30439 135.091 * * [simplify]: Extracting #8: cost 0 inf + 55952 135.109 * * [simplify]: Extracting #9: cost 0 inf + 55390 135.127 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 135.128 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 135.128 * * * * [progress]: [ 221 / 315 ] simplifiying candidate # 135.128 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 135.128 * * [simplify]: iters left: 4 (4 enodes) 135.134 * * [simplify]: iters left: 3 (12 enodes) 135.137 * * [simplify]: iters left: 2 (14 enodes) 135.141 * * [simplify]: Extracting #0: cost 1 inf + 0 135.141 * * [simplify]: Extracting #1: cost 0 inf + 1 135.141 * [simplify]: Simplified to 1 135.141 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 135.141 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 135.142 * * [simplify]: iters left: 6 (14 enodes) 135.146 * * [simplify]: iters left: 5 (59 enodes) 135.156 * * [simplify]: iters left: 4 (103 enodes) 135.175 * * [simplify]: iters left: 3 (165 enodes) 135.235 * * [simplify]: iters left: 2 (314 enodes) 135.404 * * [simplify]: Extracting #0: cost 1 inf + 0 135.404 * * [simplify]: Extracting #1: cost 56 inf + 0 135.405 * * [simplify]: Extracting #2: cost 152 inf + 1 135.406 * * [simplify]: Extracting #3: cost 195 inf + 86 135.408 * * [simplify]: Extracting #4: cost 187 inf + 1215 135.412 * * [simplify]: Extracting #5: cost 137 inf + 11621 135.425 * * [simplify]: Extracting #6: cost 48 inf + 64325 135.438 * * [simplify]: Extracting #7: cost 1 inf + 98423 135.451 * * [simplify]: Extracting #8: cost 0 inf + 98696 135.476 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 135.476 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 135.476 * * * * [progress]: [ 222 / 315 ] simplifiying candidate # 135.476 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 135.477 * * [simplify]: iters left: 6 (14 enodes) 135.485 * * [simplify]: iters left: 5 (62 enodes) 135.506 * * [simplify]: iters left: 4 (103 enodes) 135.542 * * [simplify]: iters left: 3 (161 enodes) 135.579 * * [simplify]: iters left: 2 (285 enodes) 135.655 * * [simplify]: Extracting #0: cost 1 inf + 0 135.655 * * [simplify]: Extracting #1: cost 21 inf + 0 135.656 * * [simplify]: Extracting #2: cost 81 inf + 2 135.657 * * [simplify]: Extracting #3: cost 124 inf + 301 135.658 * * [simplify]: Extracting #4: cost 119 inf + 641 135.660 * * [simplify]: Extracting #5: cost 78 inf + 4948 135.667 * * [simplify]: Extracting #6: cost 30 inf + 21967 135.679 * * [simplify]: Extracting #7: cost 0 inf + 44180 135.692 * * [simplify]: Extracting #8: cost 0 inf + 44139 135.705 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 135.705 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 135.705 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 135.705 * * [simplify]: iters left: 6 (15 enodes) 135.714 * * [simplify]: iters left: 5 (65 enodes) 135.731 * * [simplify]: iters left: 4 (109 enodes) 135.753 * * [simplify]: iters left: 3 (183 enodes) 135.819 * * [simplify]: iters left: 2 (370 enodes) 135.946 * * [simplify]: Extracting #0: cost 1 inf + 0 135.947 * * [simplify]: Extracting #1: cost 42 inf + 0 135.947 * * [simplify]: Extracting #2: cost 132 inf + 1 135.948 * * [simplify]: Extracting #3: cost 186 inf + 127 135.949 * * [simplify]: Extracting #4: cost 179 inf + 2752 135.952 * * [simplify]: Extracting #5: cost 124 inf + 11902 135.969 * * [simplify]: Extracting #6: cost 25 inf + 73950 135.994 * * [simplify]: Extracting #7: cost 1 inf + 90027 136.019 * * [simplify]: Extracting #8: cost 0 inf + 90039 136.045 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 136.045 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 136.045 * * * * [progress]: [ 223 / 315 ] simplifiying candidate # 136.046 * [simplify]: Simplifying (/ (sqrt 1) 1) 136.046 * * [simplify]: iters left: 3 (3 enodes) 136.049 * * [simplify]: iters left: 2 (9 enodes) 136.052 * * [simplify]: iters left: 1 (11 enodes) 136.054 * * [simplify]: Extracting #0: cost 1 inf + 0 136.054 * * [simplify]: Extracting #1: cost 0 inf + 1 136.054 * [simplify]: Simplified to 1 136.054 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 136.055 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 136.058 * * [simplify]: iters left: 6 (14 enodes) 136.066 * * [simplify]: iters left: 5 (59 enodes) 136.086 * * [simplify]: iters left: 4 (103 enodes) 136.118 * * [simplify]: iters left: 3 (165 enodes) 136.174 * * [simplify]: iters left: 2 (314 enodes) 136.302 * * [simplify]: Extracting #0: cost 1 inf + 0 136.302 * * [simplify]: Extracting #1: cost 56 inf + 0 136.302 * * [simplify]: Extracting #2: cost 152 inf + 1 136.303 * * [simplify]: Extracting #3: cost 195 inf + 86 136.304 * * [simplify]: Extracting #4: cost 187 inf + 1215 136.306 * * [simplify]: Extracting #5: cost 137 inf + 11621 136.322 * * [simplify]: Extracting #6: cost 48 inf + 64325 136.341 * * [simplify]: Extracting #7: cost 1 inf + 98423 136.355 * * [simplify]: Extracting #8: cost 0 inf + 98696 136.376 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 136.376 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 136.376 * * * * [progress]: [ 224 / 315 ] simplifiying candidate # 136.376 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 136.376 * * [simplify]: iters left: 3 (5 enodes) 136.381 * * [simplify]: iters left: 2 (17 enodes) 136.390 * * [simplify]: iters left: 1 (19 enodes) 136.397 * * [simplify]: Extracting #0: cost 1 inf + 0 136.397 * * [simplify]: Extracting #1: cost 4 inf + 0 136.397 * * [simplify]: Extracting #2: cost 5 inf + 1 136.397 * * [simplify]: Extracting #3: cost 0 inf + 248 136.397 * [simplify]: Simplified to (/ 1 (sqrt k)) 136.397 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 136.397 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 136.398 * * [simplify]: iters left: 6 (13 enodes) 136.406 * * [simplify]: iters left: 5 (56 enodes) 136.416 * * [simplify]: iters left: 4 (91 enodes) 136.431 * * [simplify]: iters left: 3 (132 enodes) 136.470 * * [simplify]: iters left: 2 (220 enodes) 136.534 * * [simplify]: iters left: 1 (428 enodes) 136.761 * * [simplify]: Extracting #0: cost 1 inf + 0 136.761 * * [simplify]: Extracting #1: cost 48 inf + 0 136.762 * * [simplify]: Extracting #2: cost 182 inf + 2 136.763 * * [simplify]: Extracting #3: cost 238 inf + 176 136.764 * * [simplify]: Extracting #4: cost 229 inf + 768 136.768 * * [simplify]: Extracting #5: cost 156 inf + 18147 136.794 * * [simplify]: Extracting #6: cost 50 inf + 85831 136.837 * * [simplify]: Extracting #7: cost 0 inf + 125386 136.865 * * [simplify]: Extracting #8: cost 0 inf + 124349 136.895 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 136.896 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 136.896 * * * * [progress]: [ 225 / 315 ] simplifiying candidate # 136.896 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 136.896 * * [simplify]: iters left: 6 (13 enodes) 136.900 * * [simplify]: iters left: 5 (51 enodes) 136.910 * * [simplify]: iters left: 4 (88 enodes) 136.933 * * [simplify]: iters left: 3 (155 enodes) 136.986 * * [simplify]: iters left: 2 (306 enodes) 137.128 * * [simplify]: Extracting #0: cost 1 inf + 0 137.128 * * [simplify]: Extracting #1: cost 40 inf + 0 137.129 * * [simplify]: Extracting #2: cost 108 inf + 1 137.130 * * [simplify]: Extracting #3: cost 107 inf + 255 137.131 * * [simplify]: Extracting #4: cost 102 inf + 679 137.135 * * [simplify]: Extracting #5: cost 51 inf + 23537 137.147 * * [simplify]: Extracting #6: cost 0 inf + 53661 137.163 * [simplify]: Simplified to (/ (sqrt (* (* 2 PI) n)) (sqrt k)) 137.163 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 137.164 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 137.164 * * [simplify]: iters left: 6 (11 enodes) 137.167 * * [simplify]: iters left: 5 (42 enodes) 137.174 * * [simplify]: iters left: 4 (66 enodes) 137.184 * * [simplify]: iters left: 3 (101 enodes) 137.202 * * [simplify]: iters left: 2 (171 enodes) 137.252 * * [simplify]: iters left: 1 (319 enodes) 137.361 * * [simplify]: Extracting #0: cost 1 inf + 0 137.361 * * [simplify]: Extracting #1: cost 6 inf + 0 137.361 * * [simplify]: Extracting #2: cost 38 inf + 1 137.362 * * [simplify]: Extracting #3: cost 127 inf + 2 137.362 * * [simplify]: Extracting #4: cost 156 inf + 177 137.367 * * [simplify]: Extracting #5: cost 89 inf + 15817 137.386 * * [simplify]: Extracting #6: cost 12 inf + 49508 137.401 * * [simplify]: Extracting #7: cost 0 inf + 56041 137.415 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 137.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 137.415 * * * * [progress]: [ 226 / 315 ] simplifiying candidate # 137.415 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 137.415 * * [simplify]: iters left: 6 (15 enodes) 137.420 * * [simplify]: iters left: 5 (62 enodes) 137.434 * * [simplify]: iters left: 4 (99 enodes) 137.455 * * [simplify]: iters left: 3 (143 enodes) 137.489 * * [simplify]: iters left: 2 (222 enodes) 137.539 * * [simplify]: iters left: 1 (384 enodes) 137.675 * * [simplify]: Extracting #0: cost 1 inf + 0 137.675 * * [simplify]: Extracting #1: cost 6 inf + 0 137.675 * * [simplify]: Extracting #2: cost 9 inf + 1 137.675 * * [simplify]: Extracting #3: cost 14 inf + 1 137.675 * * [simplify]: Extracting #4: cost 43 inf + 1 137.676 * * [simplify]: Extracting #5: cost 128 inf + 3 137.677 * * [simplify]: Extracting #6: cost 156 inf + 510 137.679 * * [simplify]: Extracting #7: cost 103 inf + 14284 137.686 * * [simplify]: Extracting #8: cost 29 inf + 51488 137.706 * * [simplify]: Extracting #9: cost 0 inf + 74378 137.721 * * [simplify]: Extracting #10: cost 0 inf + 72843 137.734 * * [simplify]: Extracting #11: cost 0 inf + 72346 137.754 * * [simplify]: Extracting #12: cost 0 inf + 71767 137.767 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 137.767 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 137.767 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 137.767 * * [simplify]: iters left: 6 (14 enodes) 137.771 * * [simplify]: iters left: 5 (57 enodes) 137.781 * * [simplify]: iters left: 4 (92 enodes) 137.808 * * [simplify]: iters left: 3 (132 enodes) 137.832 * * [simplify]: iters left: 2 (206 enodes) 137.905 * * [simplify]: iters left: 1 (376 enodes) 138.041 * * [simplify]: Extracting #0: cost 1 inf + 0 138.041 * * [simplify]: Extracting #1: cost 4 inf + 0 138.041 * * [simplify]: Extracting #2: cost 5 inf + 1 138.041 * * [simplify]: Extracting #3: cost 10 inf + 1 138.041 * * [simplify]: Extracting #4: cost 40 inf + 1 138.042 * * [simplify]: Extracting #5: cost 131 inf + 3 138.043 * * [simplify]: Extracting #6: cost 161 inf + 386 138.046 * * [simplify]: Extracting #7: cost 116 inf + 7183 138.055 * * [simplify]: Extracting #8: cost 55 inf + 30166 138.074 * * [simplify]: Extracting #9: cost 12 inf + 63669 138.095 * * [simplify]: Extracting #10: cost 0 inf + 73569 138.115 * * [simplify]: Extracting #11: cost 0 inf + 73115 138.135 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 138.135 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 138.136 * * * * [progress]: [ 227 / 315 ] simplifiying candidate # 138.136 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 138.136 * * [simplify]: iters left: 6 (14 enodes) 138.147 * * [simplify]: iters left: 5 (57 enodes) 138.166 * * [simplify]: iters left: 4 (92 enodes) 138.195 * * [simplify]: iters left: 3 (132 enodes) 138.237 * * [simplify]: iters left: 2 (206 enodes) 138.314 * * [simplify]: iters left: 1 (376 enodes) 138.489 * * [simplify]: Extracting #0: cost 1 inf + 0 138.489 * * [simplify]: Extracting #1: cost 4 inf + 0 138.489 * * [simplify]: Extracting #2: cost 5 inf + 1 138.489 * * [simplify]: Extracting #3: cost 10 inf + 1 138.489 * * [simplify]: Extracting #4: cost 40 inf + 1 138.489 * * [simplify]: Extracting #5: cost 131 inf + 3 138.490 * * [simplify]: Extracting #6: cost 161 inf + 386 138.492 * * [simplify]: Extracting #7: cost 116 inf + 7183 138.496 * * [simplify]: Extracting #8: cost 55 inf + 30046 138.505 * * [simplify]: Extracting #9: cost 12 inf + 63509 138.525 * * [simplify]: Extracting #10: cost 0 inf + 73409 138.545 * * [simplify]: Extracting #11: cost 0 inf + 72955 138.562 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 138.562 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 138.563 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 138.563 * * [simplify]: iters left: 6 (14 enodes) 138.567 * * [simplify]: iters left: 5 (57 enodes) 138.577 * * [simplify]: iters left: 4 (92 enodes) 138.604 * * [simplify]: iters left: 3 (132 enodes) 138.626 * * [simplify]: iters left: 2 (206 enodes) 138.679 * * [simplify]: iters left: 1 (376 enodes) 138.810 * * [simplify]: Extracting #0: cost 1 inf + 0 138.810 * * [simplify]: Extracting #1: cost 4 inf + 0 138.810 * * [simplify]: Extracting #2: cost 5 inf + 1 138.810 * * [simplify]: Extracting #3: cost 10 inf + 1 138.810 * * [simplify]: Extracting #4: cost 40 inf + 1 138.811 * * [simplify]: Extracting #5: cost 131 inf + 3 138.811 * * [simplify]: Extracting #6: cost 161 inf + 386 138.816 * * [simplify]: Extracting #7: cost 116 inf + 7183 138.820 * * [simplify]: Extracting #8: cost 55 inf + 30046 138.830 * * [simplify]: Extracting #9: cost 12 inf + 63509 138.840 * * [simplify]: Extracting #10: cost 0 inf + 73409 138.856 * * [simplify]: Extracting #11: cost 0 inf + 72955 138.876 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 138.877 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 138.877 * * * * [progress]: [ 228 / 315 ] simplifiying candidate # 138.877 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 138.877 * * [simplify]: iters left: 6 (12 enodes) 138.884 * * [simplify]: iters left: 5 (51 enodes) 138.902 * * [simplify]: iters left: 4 (95 enodes) 138.929 * * [simplify]: iters left: 3 (184 enodes) 138.972 * * [simplify]: iters left: 2 (433 enodes) 139.204 * * [simplify]: Extracting #0: cost 1 inf + 0 139.204 * * [simplify]: Extracting #1: cost 92 inf + 0 139.206 * * [simplify]: Extracting #2: cost 257 inf + 1 139.208 * * [simplify]: Extracting #3: cost 310 inf + 4 139.213 * * [simplify]: Extracting #4: cost 273 inf + 10674 139.228 * * [simplify]: Extracting #5: cost 150 inf + 67997 139.272 * * [simplify]: Extracting #6: cost 29 inf + 156372 139.319 * * [simplify]: Extracting #7: cost 0 inf + 176537 139.368 * * [simplify]: Extracting #8: cost 0 inf + 176275 139.415 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 139.415 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 139.415 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 139.416 * * [simplify]: iters left: 6 (12 enodes) 139.419 * * [simplify]: iters left: 5 (50 enodes) 139.430 * * [simplify]: iters left: 4 (84 enodes) 139.454 * * [simplify]: iters left: 3 (138 enodes) 139.484 * * [simplify]: iters left: 2 (280 enodes) 139.608 * * [simplify]: Extracting #0: cost 1 inf + 0 139.608 * * [simplify]: Extracting #1: cost 49 inf + 0 139.609 * * [simplify]: Extracting #2: cost 133 inf + 1 139.609 * * [simplify]: Extracting #3: cost 177 inf + 3 139.610 * * [simplify]: Extracting #4: cost 172 inf + 962 139.611 * * [simplify]: Extracting #5: cost 132 inf + 7689 139.615 * * [simplify]: Extracting #6: cost 79 inf + 29560 139.624 * * [simplify]: Extracting #7: cost 14 inf + 75836 139.641 * * [simplify]: Extracting #8: cost 0 inf + 84622 139.663 * * [simplify]: Extracting #9: cost 0 inf + 84371 139.685 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 139.685 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 139.685 * * * * [progress]: [ 229 / 315 ] simplifiying candidate # 139.685 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 139.685 * * [simplify]: iters left: 6 (17 enodes) 139.691 * * [simplify]: iters left: 5 (74 enodes) 139.703 * * [simplify]: iters left: 4 (132 enodes) 139.731 * * [simplify]: iters left: 3 (206 enodes) 139.794 * * [simplify]: iters left: 2 (343 enodes) 139.894 * * [simplify]: Extracting #0: cost 1 inf + 0 139.894 * * [simplify]: Extracting #1: cost 17 inf + 0 139.894 * * [simplify]: Extracting #2: cost 31 inf + 1 139.894 * * [simplify]: Extracting #3: cost 46 inf + 1 139.895 * * [simplify]: Extracting #4: cost 91 inf + 3 139.895 * * [simplify]: Extracting #5: cost 109 inf + 1434 139.897 * * [simplify]: Extracting #6: cost 52 inf + 14939 139.903 * * [simplify]: Extracting #7: cost 7 inf + 35173 139.910 * * [simplify]: Extracting #8: cost 0 inf + 39741 139.923 * * [simplify]: Extracting #9: cost 0 inf + 39610 139.936 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 139.936 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 139.936 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 139.936 * * [simplify]: iters left: 6 (15 enodes) 139.944 * * [simplify]: iters left: 5 (62 enodes) 139.963 * * [simplify]: iters left: 4 (96 enodes) 139.988 * * [simplify]: iters left: 3 (136 enodes) 140.018 * * [simplify]: iters left: 2 (234 enodes) 140.102 * * [simplify]: iters left: 1 (391 enodes) 140.232 * * [simplify]: Extracting #0: cost 1 inf + 0 140.232 * * [simplify]: Extracting #1: cost 7 inf + 0 140.232 * * [simplify]: Extracting #2: cost 12 inf + 1 140.232 * * [simplify]: Extracting #3: cost 37 inf + 1 140.233 * * [simplify]: Extracting #4: cost 108 inf + 3 140.233 * * [simplify]: Extracting #5: cost 156 inf + 751 140.236 * * [simplify]: Extracting #6: cost 93 inf + 12561 140.240 * * [simplify]: Extracting #7: cost 36 inf + 33680 140.249 * * [simplify]: Extracting #8: cost 2 inf + 61519 140.258 * * [simplify]: Extracting #9: cost 0 inf + 62762 140.279 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 140.279 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))))) 140.280 * * * * [progress]: [ 230 / 315 ] simplifiying candidate # 140.280 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.280 * * [simplify]: iters left: 6 (16 enodes) 140.290 * * [simplify]: iters left: 5 (67 enodes) 140.313 * * [simplify]: iters left: 4 (109 enodes) 140.331 * * [simplify]: iters left: 3 (165 enodes) 140.370 * * [simplify]: iters left: 2 (279 enodes) 140.468 * * [simplify]: iters left: 1 (444 enodes) 140.607 * * [simplify]: Extracting #0: cost 1 inf + 0 140.607 * * [simplify]: Extracting #1: cost 11 inf + 0 140.608 * * [simplify]: Extracting #2: cost 21 inf + 1 140.608 * * [simplify]: Extracting #3: cost 45 inf + 1 140.609 * * [simplify]: Extracting #4: cost 126 inf + 3 140.610 * * [simplify]: Extracting #5: cost 150 inf + 1200 140.615 * * [simplify]: Extracting #6: cost 95 inf + 11892 140.623 * * [simplify]: Extracting #7: cost 51 inf + 21758 140.639 * * [simplify]: Extracting #8: cost 8 inf + 55349 140.657 * * [simplify]: Extracting #9: cost 0 inf + 61406 140.676 * * [simplify]: Extracting #10: cost 0 inf + 61275 140.694 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 140.694 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 140.695 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.695 * * [simplify]: iters left: 6 (15 enodes) 140.703 * * [simplify]: iters left: 5 (62 enodes) 140.724 * * [simplify]: iters left: 4 (97 enodes) 140.747 * * [simplify]: iters left: 3 (140 enodes) 140.777 * * [simplify]: iters left: 2 (244 enodes) 140.866 * * [simplify]: iters left: 1 (413 enodes) 141.019 * * [simplify]: Extracting #0: cost 1 inf + 0 141.019 * * [simplify]: Extracting #1: cost 7 inf + 0 141.019 * * [simplify]: Extracting #2: cost 13 inf + 1 141.019 * * [simplify]: Extracting #3: cost 40 inf + 1 141.020 * * [simplify]: Extracting #4: cost 126 inf + 3 141.021 * * [simplify]: Extracting #5: cost 165 inf + 840 141.026 * * [simplify]: Extracting #6: cost 104 inf + 11066 141.034 * * [simplify]: Extracting #7: cost 53 inf + 25210 141.042 * * [simplify]: Extracting #8: cost 15 inf + 54570 141.056 * * [simplify]: Extracting #9: cost 0 inf + 66084 141.067 * * [simplify]: Extracting #10: cost 0 inf + 65872 141.087 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 141.087 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 141.087 * * * * [progress]: [ 231 / 315 ] simplifiying candidate # 141.087 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 141.088 * * [simplify]: iters left: 6 (7 enodes) 141.091 * * [simplify]: iters left: 5 (25 enodes) 141.100 * * [simplify]: iters left: 4 (38 enodes) 141.111 * * [simplify]: iters left: 3 (41 enodes) 141.121 * * [simplify]: iters left: 2 (42 enodes) 141.131 * * [simplify]: Extracting #0: cost 1 inf + 0 141.131 * * [simplify]: Extracting #1: cost 6 inf + 0 141.131 * * [simplify]: Extracting #2: cost 9 inf + 1 141.131 * * [simplify]: Extracting #3: cost 11 inf + 1 141.131 * * [simplify]: Extracting #4: cost 10 inf + 2 141.132 * * [simplify]: Extracting #5: cost 2 inf + 1093 141.132 * * [simplify]: Extracting #6: cost 0 inf + 1376 141.132 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 141.133 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 141.133 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 141.133 * * [simplify]: iters left: 6 (14 enodes) 141.141 * * [simplify]: iters left: 5 (59 enodes) 141.160 * * [simplify]: iters left: 4 (101 enodes) 141.196 * * [simplify]: iters left: 3 (156 enodes) 141.256 * * [simplify]: iters left: 2 (296 enodes) 141.365 * * [simplify]: Extracting #0: cost 1 inf + 0 141.366 * * [simplify]: Extracting #1: cost 50 inf + 0 141.366 * * [simplify]: Extracting #2: cost 127 inf + 1 141.367 * * [simplify]: Extracting #3: cost 176 inf + 3 141.369 * * [simplify]: Extracting #4: cost 172 inf + 755 141.371 * * [simplify]: Extracting #5: cost 125 inf + 10920 141.377 * * [simplify]: Extracting #6: cost 59 inf + 40958 141.388 * * [simplify]: Extracting #7: cost 2 inf + 88007 141.408 * * [simplify]: Extracting #8: cost 0 inf + 90112 141.432 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 141.432 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 141.433 * * * * [progress]: [ 232 / 315 ] simplifiying candidate # 141.433 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 141.433 * * [simplify]: iters left: 6 (16 enodes) 141.439 * * [simplify]: iters left: 5 (70 enodes) 141.451 * * [simplify]: iters left: 4 (125 enodes) 141.483 * * [simplify]: iters left: 3 (234 enodes) 141.555 * * [simplify]: Extracting #0: cost 1 inf + 0 141.555 * * [simplify]: Extracting #1: cost 32 inf + 0 141.555 * * [simplify]: Extracting #2: cost 100 inf + 1 141.556 * * [simplify]: Extracting #3: cost 144 inf + 2 141.556 * * [simplify]: Extracting #4: cost 141 inf + 951 141.558 * * [simplify]: Extracting #5: cost 87 inf + 11520 141.565 * * [simplify]: Extracting #6: cost 17 inf + 44406 141.580 * * [simplify]: Extracting #7: cost 1 inf + 55954 141.597 * * [simplify]: Extracting #8: cost 0 inf + 56781 141.617 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 141.617 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 141.618 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 141.618 * * [simplify]: iters left: 6 (15 enodes) 141.626 * * [simplify]: iters left: 5 (65 enodes) 141.647 * * [simplify]: iters left: 4 (107 enodes) 141.682 * * [simplify]: iters left: 3 (174 enodes) 141.744 * * [simplify]: iters left: 2 (348 enodes) 141.829 * * [simplify]: Extracting #0: cost 1 inf + 0 141.830 * * [simplify]: Extracting #1: cost 41 inf + 0 141.830 * * [simplify]: Extracting #2: cost 116 inf + 1 141.831 * * [simplify]: Extracting #3: cost 175 inf + 3 141.832 * * [simplify]: Extracting #4: cost 182 inf + 590 141.836 * * [simplify]: Extracting #5: cost 123 inf + 14009 141.848 * * [simplify]: Extracting #6: cost 61 inf + 38689 141.869 * * [simplify]: Extracting #7: cost 15 inf + 74561 141.892 * * [simplify]: Extracting #8: cost 0 inf + 87106 141.905 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 141.905 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 141.905 * * * * [progress]: [ 233 / 315 ] simplifiying candidate # 141.906 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 141.906 * * [simplify]: iters left: 6 (12 enodes) 141.909 * * [simplify]: iters left: 5 (50 enodes) 141.917 * * [simplify]: iters left: 4 (84 enodes) 141.943 * * [simplify]: iters left: 3 (134 enodes) 141.975 * * [simplify]: iters left: 2 (271 enodes) 142.079 * * [simplify]: Extracting #0: cost 1 inf + 0 142.079 * * [simplify]: Extracting #1: cost 46 inf + 0 142.080 * * [simplify]: Extracting #2: cost 131 inf + 1 142.081 * * [simplify]: Extracting #3: cost 174 inf + 4 142.082 * * [simplify]: Extracting #4: cost 168 inf + 1205 142.085 * * [simplify]: Extracting #5: cost 128 inf + 7233 142.097 * * [simplify]: Extracting #6: cost 39 inf + 55303 142.116 * * [simplify]: Extracting #7: cost 1 inf + 81600 142.136 * * [simplify]: Extracting #8: cost 0 inf + 81249 142.161 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 142.161 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 142.161 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 142.162 * * [simplify]: iters left: 6 (12 enodes) 142.165 * * [simplify]: iters left: 5 (50 enodes) 142.174 * * [simplify]: iters left: 4 (84 enodes) 142.188 * * [simplify]: iters left: 3 (138 enodes) 142.233 * * [simplify]: iters left: 2 (280 enodes) 142.333 * * [simplify]: Extracting #0: cost 1 inf + 0 142.334 * * [simplify]: Extracting #1: cost 49 inf + 0 142.334 * * [simplify]: Extracting #2: cost 133 inf + 1 142.335 * * [simplify]: Extracting #3: cost 177 inf + 3 142.337 * * [simplify]: Extracting #4: cost 172 inf + 1002 142.339 * * [simplify]: Extracting #5: cost 132 inf + 7769 142.350 * * [simplify]: Extracting #6: cost 79 inf + 29640 142.361 * * [simplify]: Extracting #7: cost 14 inf + 75916 142.372 * * [simplify]: Extracting #8: cost 0 inf + 84702 142.383 * * [simplify]: Extracting #9: cost 0 inf + 84451 142.400 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 142.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 142.400 * * * * [progress]: [ 234 / 315 ] simplifiying candidate # 142.400 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 142.401 * * [simplify]: iters left: 6 (17 enodes) 142.405 * * [simplify]: iters left: 5 (71 enodes) 142.417 * * [simplify]: iters left: 4 (111 enodes) 142.435 * * [simplify]: iters left: 3 (162 enodes) 142.493 * * [simplify]: iters left: 2 (268 enodes) 142.557 * * [simplify]: iters left: 1 (436 enodes) 142.714 * * [simplify]: Extracting #0: cost 1 inf + 0 142.714 * * [simplify]: Extracting #1: cost 10 inf + 0 142.714 * * [simplify]: Extracting #2: cost 19 inf + 1 142.714 * * [simplify]: Extracting #3: cost 45 inf + 1 142.715 * * [simplify]: Extracting #4: cost 115 inf + 3 142.715 * * [simplify]: Extracting #5: cost 159 inf + 1487 142.717 * * [simplify]: Extracting #6: cost 98 inf + 9442 142.724 * * [simplify]: Extracting #7: cost 29 inf + 42405 142.738 * * [simplify]: Extracting #8: cost 0 inf + 64482 142.752 * * [simplify]: Extracting #9: cost 0 inf + 63280 142.766 * * [simplify]: Extracting #10: cost 0 inf + 63228 142.786 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 142.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 142.787 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 142.787 * * [simplify]: iters left: 6 (15 enodes) 142.791 * * [simplify]: iters left: 5 (62 enodes) 142.801 * * [simplify]: iters left: 4 (96 enodes) 142.827 * * [simplify]: iters left: 3 (136 enodes) 142.852 * * [simplify]: iters left: 2 (234 enodes) 142.922 * * [simplify]: iters left: 1 (391 enodes) 143.099 * * [simplify]: Extracting #0: cost 1 inf + 0 143.099 * * [simplify]: Extracting #1: cost 7 inf + 0 143.099 * * [simplify]: Extracting #2: cost 12 inf + 1 143.100 * * [simplify]: Extracting #3: cost 37 inf + 1 143.100 * * [simplify]: Extracting #4: cost 108 inf + 3 143.101 * * [simplify]: Extracting #5: cost 156 inf + 791 143.106 * * [simplify]: Extracting #6: cost 93 inf + 12641 143.116 * * [simplify]: Extracting #7: cost 36 inf + 33760 143.132 * * [simplify]: Extracting #8: cost 2 inf + 61599 143.148 * * [simplify]: Extracting #9: cost 0 inf + 62842 143.157 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 143.157 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))))) 143.157 * * * * [progress]: [ 235 / 315 ] simplifiying candidate # 143.158 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 143.158 * * [simplify]: iters left: 6 (16 enodes) 143.162 * * [simplify]: iters left: 5 (66 enodes) 143.173 * * [simplify]: iters left: 4 (101 enodes) 143.195 * * [simplify]: iters left: 3 (144 enodes) 143.229 * * [simplify]: iters left: 2 (245 enodes) 143.274 * * [simplify]: iters left: 1 (399 enodes) 143.389 * * [simplify]: Extracting #0: cost 1 inf + 0 143.389 * * [simplify]: Extracting #1: cost 7 inf + 0 143.389 * * [simplify]: Extracting #2: cost 14 inf + 1 143.389 * * [simplify]: Extracting #3: cost 45 inf + 1 143.390 * * [simplify]: Extracting #4: cost 121 inf + 3 143.391 * * [simplify]: Extracting #5: cost 161 inf + 1703 143.393 * * [simplify]: Extracting #6: cost 91 inf + 12567 143.402 * * [simplify]: Extracting #7: cost 23 inf + 41692 143.421 * * [simplify]: Extracting #8: cost 0 inf + 59379 143.432 * * [simplify]: Extracting #9: cost 0 inf + 58846 143.443 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 143.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 143.444 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 143.444 * * [simplify]: iters left: 6 (15 enodes) 143.448 * * [simplify]: iters left: 5 (62 enodes) 143.470 * * [simplify]: iters left: 4 (97 enodes) 143.500 * * [simplify]: iters left: 3 (140 enodes) 143.541 * * [simplify]: iters left: 2 (244 enodes) 143.591 * * [simplify]: iters left: 1 (413 enodes) 143.748 * * [simplify]: Extracting #0: cost 1 inf + 0 143.748 * * [simplify]: Extracting #1: cost 7 inf + 0 143.748 * * [simplify]: Extracting #2: cost 13 inf + 1 143.748 * * [simplify]: Extracting #3: cost 40 inf + 1 143.749 * * [simplify]: Extracting #4: cost 126 inf + 3 143.750 * * [simplify]: Extracting #5: cost 165 inf + 880 143.752 * * [simplify]: Extracting #6: cost 104 inf + 11146 143.757 * * [simplify]: Extracting #7: cost 53 inf + 25290 143.768 * * [simplify]: Extracting #8: cost 15 inf + 54650 143.787 * * [simplify]: Extracting #9: cost 0 inf + 66164 143.797 * * [simplify]: Extracting #10: cost 0 inf + 65952 143.808 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 143.808 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 143.808 * * * * [progress]: [ 236 / 315 ] simplifiying candidate # 143.808 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 143.808 * * [simplify]: iters left: 6 (7 enodes) 143.811 * * [simplify]: iters left: 5 (23 enodes) 143.815 * * [simplify]: iters left: 4 (29 enodes) 143.819 * * [simplify]: Extracting #0: cost 1 inf + 0 143.819 * * [simplify]: Extracting #1: cost 4 inf + 0 143.819 * * [simplify]: Extracting #2: cost 6 inf + 1 143.819 * * [simplify]: Extracting #3: cost 9 inf + 1 143.819 * * [simplify]: Extracting #4: cost 8 inf + 2 143.820 * * [simplify]: Extracting #5: cost 2 inf + 689 143.820 * * [simplify]: Extracting #6: cost 0 inf + 972 143.820 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 143.820 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 143.821 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 143.821 * * [simplify]: iters left: 6 (14 enodes) 143.829 * * [simplify]: iters left: 5 (59 enodes) 143.842 * * [simplify]: iters left: 4 (101 enodes) 143.859 * * [simplify]: iters left: 3 (156 enodes) 143.917 * * [simplify]: iters left: 2 (296 enodes) 144.055 * * [simplify]: Extracting #0: cost 1 inf + 0 144.055 * * [simplify]: Extracting #1: cost 50 inf + 0 144.056 * * [simplify]: Extracting #2: cost 127 inf + 1 144.057 * * [simplify]: Extracting #3: cost 176 inf + 3 144.058 * * [simplify]: Extracting #4: cost 172 inf + 795 144.061 * * [simplify]: Extracting #5: cost 125 inf + 11000 144.072 * * [simplify]: Extracting #6: cost 59 inf + 41038 144.095 * * [simplify]: Extracting #7: cost 2 inf + 88087 144.120 * * [simplify]: Extracting #8: cost 0 inf + 90192 144.143 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 144.143 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 144.143 * * * * [progress]: [ 237 / 315 ] simplifiying candidate # 144.143 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 144.144 * * [simplify]: iters left: 6 (16 enodes) 144.149 * * [simplify]: iters left: 5 (69 enodes) 144.160 * * [simplify]: iters left: 4 (111 enodes) 144.190 * * [simplify]: iters left: 3 (178 enodes) 144.261 * * [simplify]: iters left: 2 (351 enodes) 144.396 * * [simplify]: Extracting #0: cost 1 inf + 0 144.396 * * [simplify]: Extracting #1: cost 38 inf + 0 144.396 * * [simplify]: Extracting #2: cost 117 inf + 1 144.397 * * [simplify]: Extracting #3: cost 174 inf + 3 144.398 * * [simplify]: Extracting #4: cost 172 inf + 960 144.399 * * [simplify]: Extracting #5: cost 119 inf + 11373 144.414 * * [simplify]: Extracting #6: cost 39 inf + 51012 144.442 * * [simplify]: Extracting #7: cost 1 inf + 79527 144.459 * * [simplify]: Extracting #8: cost 0 inf + 79052 144.475 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) 144.475 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 144.475 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 144.475 * * [simplify]: iters left: 6 (15 enodes) 144.486 * * [simplify]: iters left: 5 (65 enodes) 144.499 * * [simplify]: iters left: 4 (107 enodes) 144.518 * * [simplify]: iters left: 3 (174 enodes) 144.564 * * [simplify]: iters left: 2 (348 enodes) 144.663 * * [simplify]: Extracting #0: cost 1 inf + 0 144.663 * * [simplify]: Extracting #1: cost 41 inf + 0 144.664 * * [simplify]: Extracting #2: cost 116 inf + 1 144.665 * * [simplify]: Extracting #3: cost 175 inf + 3 144.666 * * [simplify]: Extracting #4: cost 182 inf + 630 144.669 * * [simplify]: Extracting #5: cost 123 inf + 14089 144.675 * * [simplify]: Extracting #6: cost 61 inf + 38769 144.686 * * [simplify]: Extracting #7: cost 15 inf + 74641 144.698 * * [simplify]: Extracting #8: cost 0 inf + 87186 144.719 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 144.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 144.719 * * * * [progress]: [ 238 / 315 ] simplifiying candidate # 144.720 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 144.720 * * [simplify]: iters left: 6 (11 enodes) 144.723 * * [simplify]: iters left: 5 (46 enodes) 144.730 * * [simplify]: iters left: 4 (76 enodes) 144.745 * * [simplify]: iters left: 3 (131 enodes) 144.794 * * [simplify]: iters left: 2 (288 enodes) 144.933 * * [simplify]: Extracting #0: cost 1 inf + 0 144.934 * * [simplify]: Extracting #1: cost 48 inf + 0 144.934 * * [simplify]: Extracting #2: cost 125 inf + 1 144.935 * * [simplify]: Extracting #3: cost 169 inf + 4 144.937 * * [simplify]: Extracting #4: cost 164 inf + 1175 144.940 * * [simplify]: Extracting #5: cost 107 inf + 15397 144.954 * * [simplify]: Extracting #6: cost 13 inf + 64219 144.973 * * [simplify]: Extracting #7: cost 0 inf + 73684 144.993 * * [simplify]: Extracting #8: cost 0 inf + 73553 145.009 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 145.009 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 145.009 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 145.009 * * [simplify]: iters left: 6 (12 enodes) 145.013 * * [simplify]: iters left: 5 (50 enodes) 145.021 * * [simplify]: iters left: 4 (84 enodes) 145.035 * * [simplify]: iters left: 3 (138 enodes) 145.062 * * [simplify]: iters left: 2 (280 enodes) 145.158 * * [simplify]: Extracting #0: cost 1 inf + 0 145.158 * * [simplify]: Extracting #1: cost 49 inf + 0 145.159 * * [simplify]: Extracting #2: cost 133 inf + 1 145.160 * * [simplify]: Extracting #3: cost 177 inf + 3 145.161 * * [simplify]: Extracting #4: cost 172 inf + 882 145.164 * * [simplify]: Extracting #5: cost 132 inf + 7329 145.174 * * [simplify]: Extracting #6: cost 79 inf + 28320 145.191 * * [simplify]: Extracting #7: cost 14 inf + 73196 145.214 * * [simplify]: Extracting #8: cost 0 inf + 81582 145.225 * * [simplify]: Extracting #9: cost 0 inf + 81331 145.235 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 145.236 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 145.236 * * * * [progress]: [ 239 / 315 ] simplifiying candidate # 145.236 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 145.236 * * [simplify]: iters left: 6 (16 enodes) 145.240 * * [simplify]: iters left: 5 (67 enodes) 145.255 * * [simplify]: iters left: 4 (107 enodes) 145.289 * * [simplify]: iters left: 3 (155 enodes) 145.345 * * [simplify]: iters left: 2 (256 enodes) 145.433 * * [simplify]: iters left: 1 (415 enodes) 145.612 * * [simplify]: Extracting #0: cost 1 inf + 0 145.613 * * [simplify]: Extracting #1: cost 10 inf + 0 145.613 * * [simplify]: Extracting #2: cost 18 inf + 1 145.613 * * [simplify]: Extracting #3: cost 41 inf + 1 145.614 * * [simplify]: Extracting #4: cost 108 inf + 3 145.615 * * [simplify]: Extracting #5: cost 148 inf + 1085 145.620 * * [simplify]: Extracting #6: cost 76 inf + 16045 145.633 * * [simplify]: Extracting #7: cost 17 inf + 43834 145.650 * * [simplify]: Extracting #8: cost 0 inf + 57873 145.667 * * [simplify]: Extracting #9: cost 0 inf + 57675 145.684 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 145.684 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 145.685 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 145.685 * * [simplify]: iters left: 6 (15 enodes) 145.697 * * [simplify]: iters left: 5 (62 enodes) 145.707 * * [simplify]: iters left: 4 (96 enodes) 145.722 * * [simplify]: iters left: 3 (136 enodes) 145.764 * * [simplify]: iters left: 2 (234 enodes) 145.827 * * [simplify]: iters left: 1 (391 enodes) 145.955 * * [simplify]: Extracting #0: cost 1 inf + 0 145.955 * * [simplify]: Extracting #1: cost 7 inf + 0 145.955 * * [simplify]: Extracting #2: cost 12 inf + 1 145.955 * * [simplify]: Extracting #3: cost 37 inf + 1 145.955 * * [simplify]: Extracting #4: cost 108 inf + 3 145.956 * * [simplify]: Extracting #5: cost 156 inf + 671 145.958 * * [simplify]: Extracting #6: cost 93 inf + 12281 145.963 * * [simplify]: Extracting #7: cost 36 inf + 33360 145.975 * * [simplify]: Extracting #8: cost 2 inf + 61199 145.986 * * [simplify]: Extracting #9: cost 0 inf + 62442 145.999 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 146.000 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 146.000 * * * * [progress]: [ 240 / 315 ] simplifiying candidate # 146.000 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.000 * * [simplify]: iters left: 6 (15 enodes) 146.004 * * [simplify]: iters left: 5 (62 enodes) 146.015 * * [simplify]: iters left: 4 (97 enodes) 146.034 * * [simplify]: iters left: 3 (140 enodes) 146.086 * * [simplify]: iters left: 2 (244 enodes) 146.162 * * [simplify]: iters left: 1 (413 enodes) 146.338 * * [simplify]: Extracting #0: cost 1 inf + 0 146.339 * * [simplify]: Extracting #1: cost 7 inf + 0 146.339 * * [simplify]: Extracting #2: cost 13 inf + 1 146.339 * * [simplify]: Extracting #3: cost 40 inf + 1 146.339 * * [simplify]: Extracting #4: cost 126 inf + 3 146.341 * * [simplify]: Extracting #5: cost 165 inf + 800 146.345 * * [simplify]: Extracting #6: cost 104 inf + 10786 146.354 * * [simplify]: Extracting #7: cost 53 inf + 24890 146.370 * * [simplify]: Extracting #8: cost 15 inf + 54250 146.391 * * [simplify]: Extracting #9: cost 0 inf + 65764 146.412 * * [simplify]: Extracting #10: cost 0 inf + 65552 146.432 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 146.433 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 146.433 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.433 * * [simplify]: iters left: 6 (15 enodes) 146.441 * * [simplify]: iters left: 5 (62 enodes) 146.465 * * [simplify]: iters left: 4 (97 enodes) 146.481 * * [simplify]: iters left: 3 (140 enodes) 146.506 * * [simplify]: iters left: 2 (244 enodes) 146.595 * * [simplify]: iters left: 1 (413 enodes) 146.730 * * [simplify]: Extracting #0: cost 1 inf + 0 146.731 * * [simplify]: Extracting #1: cost 7 inf + 0 146.731 * * [simplify]: Extracting #2: cost 13 inf + 1 146.731 * * [simplify]: Extracting #3: cost 40 inf + 1 146.732 * * [simplify]: Extracting #4: cost 126 inf + 3 146.733 * * [simplify]: Extracting #5: cost 165 inf + 800 146.737 * * [simplify]: Extracting #6: cost 104 inf + 10786 146.747 * * [simplify]: Extracting #7: cost 53 inf + 24890 146.763 * * [simplify]: Extracting #8: cost 15 inf + 54250 146.783 * * [simplify]: Extracting #9: cost 0 inf + 65764 146.794 * * [simplify]: Extracting #10: cost 0 inf + 65552 146.804 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 146.804 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 146.804 * * * * [progress]: [ 241 / 315 ] simplifiying candidate # 146.805 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 146.805 * * [simplify]: iters left: 6 (6 enodes) 146.807 * * [simplify]: iters left: 5 (20 enodes) 146.814 * * [simplify]: iters left: 4 (24 enodes) 146.820 * * [simplify]: Extracting #0: cost 1 inf + 0 146.820 * * [simplify]: Extracting #1: cost 4 inf + 0 146.820 * * [simplify]: Extracting #2: cost 5 inf + 1 146.820 * * [simplify]: Extracting #3: cost 7 inf + 1 146.821 * * [simplify]: Extracting #4: cost 6 inf + 2 146.821 * * [simplify]: Extracting #5: cost 0 inf + 490 146.821 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 146.821 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 146.821 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 146.821 * * [simplify]: iters left: 6 (14 enodes) 146.829 * * [simplify]: iters left: 5 (59 enodes) 146.848 * * [simplify]: iters left: 4 (101 enodes) 146.880 * * [simplify]: iters left: 3 (156 enodes) 146.917 * * [simplify]: iters left: 2 (296 enodes) 147.016 * * [simplify]: Extracting #0: cost 1 inf + 0 147.017 * * [simplify]: Extracting #1: cost 50 inf + 0 147.017 * * [simplify]: Extracting #2: cost 127 inf + 1 147.017 * * [simplify]: Extracting #3: cost 176 inf + 3 147.018 * * [simplify]: Extracting #4: cost 172 inf + 675 147.020 * * [simplify]: Extracting #5: cost 125 inf + 10440 147.025 * * [simplify]: Extracting #6: cost 59 inf + 39438 147.037 * * [simplify]: Extracting #7: cost 2 inf + 84967 147.050 * * [simplify]: Extracting #8: cost 0 inf + 86992 147.065 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 147.065 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 147.065 * * * * [progress]: [ 242 / 315 ] simplifiying candidate # 147.065 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 147.065 * * [simplify]: iters left: 6 (15 enodes) 147.072 * * [simplify]: iters left: 5 (65 enodes) 147.093 * * [simplify]: iters left: 4 (107 enodes) 147.130 * * [simplify]: iters left: 3 (174 enodes) 147.172 * * [simplify]: iters left: 2 (348 enodes) 147.279 * * [simplify]: Extracting #0: cost 1 inf + 0 147.279 * * [simplify]: Extracting #1: cost 41 inf + 0 147.280 * * [simplify]: Extracting #2: cost 116 inf + 1 147.281 * * [simplify]: Extracting #3: cost 175 inf + 3 147.283 * * [simplify]: Extracting #4: cost 182 inf + 510 147.287 * * [simplify]: Extracting #5: cost 123 inf + 13449 147.299 * * [simplify]: Extracting #6: cost 61 inf + 37289 147.321 * * [simplify]: Extracting #7: cost 15 inf + 72081 147.347 * * [simplify]: Extracting #8: cost 0 inf + 84226 147.372 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 147.372 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 147.373 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 147.373 * * [simplify]: iters left: 6 (15 enodes) 147.378 * * [simplify]: iters left: 5 (65 enodes) 147.389 * * [simplify]: iters left: 4 (107 enodes) 147.411 * * [simplify]: iters left: 3 (174 enodes) 147.479 * * [simplify]: iters left: 2 (348 enodes) 147.604 * * [simplify]: Extracting #0: cost 1 inf + 0 147.605 * * [simplify]: Extracting #1: cost 41 inf + 0 147.605 * * [simplify]: Extracting #2: cost 116 inf + 1 147.606 * * [simplify]: Extracting #3: cost 175 inf + 3 147.612 * * [simplify]: Extracting #4: cost 182 inf + 510 147.616 * * [simplify]: Extracting #5: cost 123 inf + 13449 147.627 * * [simplify]: Extracting #6: cost 61 inf + 37289 147.649 * * [simplify]: Extracting #7: cost 15 inf + 72081 147.674 * * [simplify]: Extracting #8: cost 0 inf + 84226 147.700 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 147.700 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 147.700 * * * * [progress]: [ 243 / 315 ] simplifiying candidate # 147.701 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 147.701 * * [simplify]: iters left: 6 (10 enodes) 147.707 * * [simplify]: iters left: 5 (43 enodes) 147.721 * * [simplify]: iters left: 4 (68 enodes) 147.731 * * [simplify]: iters left: 3 (111 enodes) 147.763 * * [simplify]: iters left: 2 (222 enodes) 147.821 * * [simplify]: iters left: 1 (461 enodes) 148.151 * * [simplify]: Extracting #0: cost 1 inf + 0 148.151 * * [simplify]: Extracting #1: cost 43 inf + 0 148.152 * * [simplify]: Extracting #2: cost 183 inf + 3 148.154 * * [simplify]: Extracting #3: cost 230 inf + 8 148.157 * * [simplify]: Extracting #4: cost 223 inf + 1179 148.166 * * [simplify]: Extracting #5: cost 130 inf + 29905 148.190 * * [simplify]: Extracting #6: cost 15 inf + 109342 148.217 * * [simplify]: Extracting #7: cost 0 inf + 116106 148.256 * * [simplify]: Extracting #8: cost 0 inf + 110756 148.297 * * [simplify]: Extracting #9: cost 0 inf + 109772 148.339 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 148.339 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 148.340 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 148.340 * * [simplify]: iters left: 6 (11 enodes) 148.347 * * [simplify]: iters left: 5 (47 enodes) 148.357 * * [simplify]: iters left: 4 (77 enodes) 148.372 * * [simplify]: iters left: 3 (132 enodes) 148.419 * * [simplify]: iters left: 2 (289 enodes) 148.514 * * [simplify]: Extracting #0: cost 1 inf + 0 148.514 * * [simplify]: Extracting #1: cost 41 inf + 0 148.514 * * [simplify]: Extracting #2: cost 121 inf + 1 148.515 * * [simplify]: Extracting #3: cost 164 inf + 168 148.516 * * [simplify]: Extracting #4: cost 158 inf + 1132 148.517 * * [simplify]: Extracting #5: cost 116 inf + 8728 148.522 * * [simplify]: Extracting #6: cost 47 inf + 46373 148.538 * * [simplify]: Extracting #7: cost 1 inf + 78071 148.551 * * [simplify]: Extracting #8: cost 0 inf + 77063 148.564 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 148.564 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 148.565 * * * * [progress]: [ 244 / 315 ] simplifiying candidate # 148.565 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 148.565 * * [simplify]: iters left: 6 (15 enodes) 148.570 * * [simplify]: iters left: 5 (64 enodes) 148.588 * * [simplify]: iters left: 4 (106 enodes) 148.615 * * [simplify]: iters left: 3 (153 enodes) 148.645 * * [simplify]: iters left: 2 (231 enodes) 148.698 * * [simplify]: iters left: 1 (399 enodes) 148.857 * * [simplify]: Extracting #0: cost 1 inf + 0 148.857 * * [simplify]: Extracting #1: cost 6 inf + 0 148.857 * * [simplify]: Extracting #2: cost 9 inf + 1 148.857 * * [simplify]: Extracting #3: cost 33 inf + 1 148.858 * * [simplify]: Extracting #4: cost 105 inf + 2 148.859 * * [simplify]: Extracting #5: cost 154 inf + 176 148.861 * * [simplify]: Extracting #6: cost 153 inf + 436 148.863 * * [simplify]: Extracting #7: cost 119 inf + 6829 148.878 * * [simplify]: Extracting #8: cost 31 inf + 47776 148.907 * * [simplify]: Extracting #9: cost 2 inf + 61163 148.934 * * [simplify]: Extracting #10: cost 0 inf + 61979 148.948 * * [simplify]: Extracting #11: cost 0 inf + 61937 148.966 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 148.967 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 148.967 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.967 * * [simplify]: iters left: 6 (14 enodes) 148.975 * * [simplify]: iters left: 5 (59 enodes) 148.995 * * [simplify]: iters left: 4 (97 enodes) 149.030 * * [simplify]: iters left: 3 (135 enodes) 149.067 * * [simplify]: iters left: 2 (215 enodes) 149.122 * * [simplify]: iters left: 1 (375 enodes) 149.241 * * [simplify]: Extracting #0: cost 1 inf + 0 149.242 * * [simplify]: Extracting #1: cost 7 inf + 0 149.242 * * [simplify]: Extracting #2: cost 12 inf + 1 149.242 * * [simplify]: Extracting #3: cost 35 inf + 2 149.242 * * [simplify]: Extracting #4: cost 110 inf + 167 149.244 * * [simplify]: Extracting #5: cost 154 inf + 465 149.247 * * [simplify]: Extracting #6: cost 105 inf + 7477 149.257 * * [simplify]: Extracting #7: cost 36 inf + 31362 149.268 * * [simplify]: Extracting #8: cost 2 inf + 59264 149.277 * * [simplify]: Extracting #9: cost 0 inf + 61311 149.286 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 149.286 * [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 (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 149.286 * * * * [progress]: [ 245 / 315 ] simplifiying candidate # 149.286 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 149.287 * * [simplify]: iters left: 6 (14 enodes) 149.297 * * [simplify]: iters left: 5 (59 enodes) 149.312 * * [simplify]: iters left: 4 (95 enodes) 149.328 * * [simplify]: iters left: 3 (135 enodes) 149.364 * * [simplify]: iters left: 2 (206 enodes) 149.415 * * [simplify]: iters left: 1 (372 enodes) 149.554 * * [simplify]: Extracting #0: cost 1 inf + 0 149.554 * * [simplify]: Extracting #1: cost 6 inf + 0 149.554 * * [simplify]: Extracting #2: cost 32 inf + 1 149.554 * * [simplify]: Extracting #3: cost 127 inf + 2 149.555 * * [simplify]: Extracting #4: cost 166 inf + 177 149.556 * * [simplify]: Extracting #5: cost 165 inf + 394 149.557 * * [simplify]: Extracting #6: cost 132 inf + 3381 149.560 * * [simplify]: Extracting #7: cost 74 inf + 13327 149.567 * * [simplify]: Extracting #8: cost 16 inf + 53953 149.584 * * [simplify]: Extracting #9: cost 0 inf + 67743 149.603 * * [simplify]: Extracting #10: cost 0 inf + 67198 149.613 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 149.613 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 149.613 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 149.613 * * [simplify]: iters left: 6 (14 enodes) 149.618 * * [simplify]: iters left: 5 (59 enodes) 149.628 * * [simplify]: iters left: 4 (98 enodes) 149.657 * * [simplify]: iters left: 3 (136 enodes) 149.704 * * [simplify]: iters left: 2 (217 enodes) 149.750 * * [simplify]: iters left: 1 (385 enodes) 149.912 * * [simplify]: Extracting #0: cost 1 inf + 0 149.912 * * [simplify]: Extracting #1: cost 7 inf + 0 149.912 * * [simplify]: Extracting #2: cost 13 inf + 1 149.912 * * [simplify]: Extracting #3: cost 38 inf + 2 149.913 * * [simplify]: Extracting #4: cost 120 inf + 167 149.914 * * [simplify]: Extracting #5: cost 155 inf + 590 149.919 * * [simplify]: Extracting #6: cost 88 inf + 17426 149.932 * * [simplify]: Extracting #7: cost 7 inf + 57346 149.942 * * [simplify]: Extracting #8: cost 0 inf + 63036 149.953 * * [simplify]: Extracting #9: cost 0 inf + 62694 149.974 * * [simplify]: Extracting #10: cost 0 inf + 62574 149.985 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 149.985 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 149.986 * * * * [progress]: [ 246 / 315 ] simplifiying candidate # 149.986 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 149.986 * * [simplify]: iters left: 5 (4 enodes) 149.990 * * [simplify]: iters left: 4 (14 enodes) 149.995 * * [simplify]: iters left: 3 (16 enodes) 149.997 * * [simplify]: Extracting #0: cost 1 inf + 0 149.997 * * [simplify]: Extracting #1: cost 0 inf + 1 149.997 * [simplify]: Simplified to 1 149.997 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 149.997 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 149.997 * * [simplify]: iters left: 6 (13 enodes) 150.001 * * [simplify]: iters left: 5 (56 enodes) 150.019 * * [simplify]: iters left: 4 (98 enodes) 150.052 * * [simplify]: iters left: 3 (153 enodes) 150.103 * * [simplify]: iters left: 2 (293 enodes) 150.198 * * [simplify]: Extracting #0: cost 1 inf + 0 150.199 * * [simplify]: Extracting #1: cost 50 inf + 0 150.199 * * [simplify]: Extracting #2: cost 126 inf + 1 150.201 * * [simplify]: Extracting #3: cost 168 inf + 127 150.202 * * [simplify]: Extracting #4: cost 164 inf + 1004 150.210 * * [simplify]: Extracting #5: cost 108 inf + 17323 150.227 * * [simplify]: Extracting #6: cost 24 inf + 65407 150.239 * * [simplify]: Extracting #7: cost 0 inf + 83227 150.251 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 150.251 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 150.251 * * * * [progress]: [ 247 / 315 ] simplifiying candidate # 150.251 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 150.251 * * [simplify]: iters left: 6 (14 enodes) 150.256 * * [simplify]: iters left: 5 (62 enodes) 150.270 * * [simplify]: iters left: 4 (105 enodes) 150.296 * * [simplify]: iters left: 3 (168 enodes) 150.328 * * [simplify]: iters left: 2 (298 enodes) 150.430 * * [simplify]: Extracting #0: cost 1 inf + 0 150.430 * * [simplify]: Extracting #1: cost 21 inf + 0 150.431 * * [simplify]: Extracting #2: cost 94 inf + 2 150.431 * * [simplify]: Extracting #3: cost 140 inf + 176 150.432 * * [simplify]: Extracting #4: cost 140 inf + 391 150.433 * * [simplify]: Extracting #5: cost 117 inf + 1925 150.434 * * [simplify]: Extracting #6: cost 72 inf + 8834 150.439 * * [simplify]: Extracting #7: cost 16 inf + 38166 150.447 * * [simplify]: Extracting #8: cost 0 inf + 49326 150.454 * * [simplify]: Extracting #9: cost 0 inf + 49246 150.462 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 150.462 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 150.462 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 150.462 * * [simplify]: iters left: 6 (14 enodes) 150.466 * * [simplify]: iters left: 5 (62 enodes) 150.477 * * [simplify]: iters left: 4 (110 enodes) 150.500 * * [simplify]: iters left: 3 (185 enodes) 150.544 * * [simplify]: iters left: 2 (366 enodes) 150.651 * * [simplify]: Extracting #0: cost 1 inf + 0 150.651 * * [simplify]: Extracting #1: cost 51 inf + 0 150.651 * * [simplify]: Extracting #2: cost 132 inf + 1 150.652 * * [simplify]: Extracting #3: cost 187 inf + 127 150.653 * * [simplify]: Extracting #4: cost 176 inf + 1426 150.658 * * [simplify]: Extracting #5: cost 130 inf + 8691 150.665 * * [simplify]: Extracting #6: cost 53 inf + 49151 150.689 * * [simplify]: Extracting #7: cost 4 inf + 86082 150.715 * * [simplify]: Extracting #8: cost 0 inf + 87327 150.741 * * [simplify]: Extracting #9: cost 0 inf + 87195 150.767 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 150.767 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 150.767 * * * * [progress]: [ 248 / 315 ] simplifiying candidate # 150.767 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 150.767 * * [simplify]: iters left: 6 (11 enodes) 150.773 * * [simplify]: iters left: 5 (46 enodes) 150.784 * * [simplify]: iters left: 4 (76 enodes) 151.224 * * [simplify]: iters left: 3 (131 enodes) 151.279 * * [simplify]: iters left: 2 (288 enodes) 151.361 * * [simplify]: Extracting #0: cost 1 inf + 0 151.361 * * [simplify]: Extracting #1: cost 48 inf + 0 151.362 * * [simplify]: Extracting #2: cost 125 inf + 1 151.363 * * [simplify]: Extracting #3: cost 169 inf + 4 151.364 * * [simplify]: Extracting #4: cost 164 inf + 1175 151.368 * * [simplify]: Extracting #5: cost 107 inf + 15397 151.382 * * [simplify]: Extracting #6: cost 13 inf + 64219 151.398 * * [simplify]: Extracting #7: cost 0 inf + 73684 151.422 * * [simplify]: Extracting #8: cost 0 inf + 73553 151.433 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 151.434 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 151.434 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 151.434 * * [simplify]: iters left: 6 (12 enodes) 151.438 * * [simplify]: iters left: 5 (50 enodes) 151.447 * * [simplify]: iters left: 4 (84 enodes) 151.461 * * [simplify]: iters left: 3 (138 enodes) 151.506 * * [simplify]: iters left: 2 (280 enodes) 151.636 * * [simplify]: Extracting #0: cost 1 inf + 0 151.636 * * [simplify]: Extracting #1: cost 49 inf + 0 151.636 * * [simplify]: Extracting #2: cost 133 inf + 1 151.637 * * [simplify]: Extracting #3: cost 177 inf + 3 151.638 * * [simplify]: Extracting #4: cost 172 inf + 882 151.639 * * [simplify]: Extracting #5: cost 132 inf + 7329 151.645 * * [simplify]: Extracting #6: cost 79 inf + 28320 151.654 * * [simplify]: Extracting #7: cost 14 inf + 73196 151.669 * * [simplify]: Extracting #8: cost 0 inf + 81582 151.690 * * [simplify]: Extracting #9: cost 0 inf + 81331 151.712 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 151.712 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 151.712 * * * * [progress]: [ 249 / 315 ] simplifiying candidate # 151.712 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 151.713 * * [simplify]: iters left: 6 (16 enodes) 151.721 * * [simplify]: iters left: 5 (67 enodes) 151.744 * * [simplify]: iters left: 4 (107 enodes) 151.781 * * [simplify]: iters left: 3 (155 enodes) 151.817 * * [simplify]: iters left: 2 (256 enodes) 151.886 * * [simplify]: iters left: 1 (415 enodes) 152.022 * * [simplify]: Extracting #0: cost 1 inf + 0 152.022 * * [simplify]: Extracting #1: cost 10 inf + 0 152.022 * * [simplify]: Extracting #2: cost 18 inf + 1 152.023 * * [simplify]: Extracting #3: cost 41 inf + 1 152.023 * * [simplify]: Extracting #4: cost 108 inf + 3 152.025 * * [simplify]: Extracting #5: cost 148 inf + 1085 152.030 * * [simplify]: Extracting #6: cost 76 inf + 16045 152.043 * * [simplify]: Extracting #7: cost 17 inf + 43834 152.057 * * [simplify]: Extracting #8: cost 0 inf + 57873 152.066 * * [simplify]: Extracting #9: cost 0 inf + 57675 152.075 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 152.075 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 152.076 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.076 * * [simplify]: iters left: 6 (15 enodes) 152.083 * * [simplify]: iters left: 5 (62 enodes) 152.097 * * [simplify]: iters left: 4 (96 enodes) 152.113 * * [simplify]: iters left: 3 (136 enodes) 152.137 * * [simplify]: iters left: 2 (234 enodes) 152.185 * * [simplify]: iters left: 1 (391 enodes) 152.323 * * [simplify]: Extracting #0: cost 1 inf + 0 152.323 * * [simplify]: Extracting #1: cost 7 inf + 0 152.323 * * [simplify]: Extracting #2: cost 12 inf + 1 152.323 * * [simplify]: Extracting #3: cost 37 inf + 1 152.324 * * [simplify]: Extracting #4: cost 108 inf + 3 152.325 * * [simplify]: Extracting #5: cost 156 inf + 671 152.329 * * [simplify]: Extracting #6: cost 93 inf + 12281 152.339 * * [simplify]: Extracting #7: cost 36 inf + 33360 152.360 * * [simplify]: Extracting #8: cost 2 inf + 61199 152.378 * * [simplify]: Extracting #9: cost 0 inf + 62442 152.396 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 152.396 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 152.396 * * * * [progress]: [ 250 / 315 ] simplifiying candidate # 152.396 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.396 * * [simplify]: iters left: 6 (15 enodes) 152.404 * * [simplify]: iters left: 5 (62 enodes) 152.413 * * [simplify]: iters left: 4 (97 enodes) 152.436 * * [simplify]: iters left: 3 (140 enodes) 152.476 * * [simplify]: iters left: 2 (244 enodes) 152.527 * * [simplify]: iters left: 1 (413 enodes) 152.691 * * [simplify]: Extracting #0: cost 1 inf + 0 152.691 * * [simplify]: Extracting #1: cost 7 inf + 0 152.691 * * [simplify]: Extracting #2: cost 13 inf + 1 152.691 * * [simplify]: Extracting #3: cost 40 inf + 1 152.692 * * [simplify]: Extracting #4: cost 126 inf + 3 152.693 * * [simplify]: Extracting #5: cost 165 inf + 800 152.698 * * [simplify]: Extracting #6: cost 104 inf + 10786 152.707 * * [simplify]: Extracting #7: cost 53 inf + 24890 152.723 * * [simplify]: Extracting #8: cost 15 inf + 54250 152.743 * * [simplify]: Extracting #9: cost 0 inf + 65764 152.765 * * [simplify]: Extracting #10: cost 0 inf + 65552 152.786 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 152.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 152.787 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.787 * * [simplify]: iters left: 6 (15 enodes) 152.795 * * [simplify]: iters left: 5 (62 enodes) 152.810 * * [simplify]: iters left: 4 (97 enodes) 152.826 * * [simplify]: iters left: 3 (140 enodes) 152.877 * * [simplify]: iters left: 2 (244 enodes) 152.936 * * [simplify]: iters left: 1 (413 enodes) 153.092 * * [simplify]: Extracting #0: cost 1 inf + 0 153.092 * * [simplify]: Extracting #1: cost 7 inf + 0 153.092 * * [simplify]: Extracting #2: cost 13 inf + 1 153.092 * * [simplify]: Extracting #3: cost 40 inf + 1 153.093 * * [simplify]: Extracting #4: cost 126 inf + 3 153.093 * * [simplify]: Extracting #5: cost 165 inf + 800 153.096 * * [simplify]: Extracting #6: cost 104 inf + 10786 153.101 * * [simplify]: Extracting #7: cost 53 inf + 24890 153.116 * * [simplify]: Extracting #8: cost 15 inf + 54250 153.136 * * [simplify]: Extracting #9: cost 0 inf + 65764 153.158 * * [simplify]: Extracting #10: cost 0 inf + 65552 153.178 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 153.178 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 153.179 * * * * [progress]: [ 251 / 315 ] simplifiying candidate # 153.179 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 153.179 * * [simplify]: iters left: 6 (6 enodes) 153.182 * * [simplify]: iters left: 5 (20 enodes) 153.189 * * [simplify]: iters left: 4 (24 enodes) 153.195 * * [simplify]: Extracting #0: cost 1 inf + 0 153.195 * * [simplify]: Extracting #1: cost 4 inf + 0 153.195 * * [simplify]: Extracting #2: cost 5 inf + 1 153.195 * * [simplify]: Extracting #3: cost 7 inf + 1 153.195 * * [simplify]: Extracting #4: cost 6 inf + 2 153.195 * * [simplify]: Extracting #5: cost 0 inf + 490 153.196 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.196 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 153.196 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.196 * * [simplify]: iters left: 6 (14 enodes) 153.204 * * [simplify]: iters left: 5 (59 enodes) 153.224 * * [simplify]: iters left: 4 (101 enodes) 153.256 * * [simplify]: iters left: 3 (156 enodes) 153.313 * * [simplify]: iters left: 2 (296 enodes) 153.431 * * [simplify]: Extracting #0: cost 1 inf + 0 153.431 * * [simplify]: Extracting #1: cost 50 inf + 0 153.432 * * [simplify]: Extracting #2: cost 127 inf + 1 153.432 * * [simplify]: Extracting #3: cost 176 inf + 3 153.433 * * [simplify]: Extracting #4: cost 172 inf + 675 153.435 * * [simplify]: Extracting #5: cost 125 inf + 10440 153.440 * * [simplify]: Extracting #6: cost 59 inf + 39438 153.452 * * [simplify]: Extracting #7: cost 2 inf + 84967 153.474 * * [simplify]: Extracting #8: cost 0 inf + 86992 153.501 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 153.501 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 153.501 * * * * [progress]: [ 252 / 315 ] simplifiying candidate # 153.501 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 153.502 * * [simplify]: iters left: 6 (15 enodes) 153.510 * * [simplify]: iters left: 5 (65 enodes) 153.533 * * [simplify]: iters left: 4 (107 enodes) 153.565 * * [simplify]: iters left: 3 (174 enodes) 153.602 * * [simplify]: iters left: 2 (348 enodes) 153.710 * * [simplify]: Extracting #0: cost 1 inf + 0 153.711 * * [simplify]: Extracting #1: cost 41 inf + 0 153.711 * * [simplify]: Extracting #2: cost 116 inf + 1 153.711 * * [simplify]: Extracting #3: cost 175 inf + 3 153.712 * * [simplify]: Extracting #4: cost 182 inf + 510 153.714 * * [simplify]: Extracting #5: cost 123 inf + 13449 153.720 * * [simplify]: Extracting #6: cost 61 inf + 37289 153.731 * * [simplify]: Extracting #7: cost 15 inf + 72081 153.744 * * [simplify]: Extracting #8: cost 0 inf + 84226 153.760 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 153.760 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 153.761 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 153.761 * * [simplify]: iters left: 6 (15 enodes) 153.769 * * [simplify]: iters left: 5 (65 enodes) 153.794 * * [simplify]: iters left: 4 (107 enodes) 153.830 * * [simplify]: iters left: 3 (174 enodes) 153.897 * * [simplify]: iters left: 2 (348 enodes) 154.040 * * [simplify]: Extracting #0: cost 1 inf + 0 154.042 * * [simplify]: Extracting #1: cost 41 inf + 0 154.043 * * [simplify]: Extracting #2: cost 116 inf + 1 154.043 * * [simplify]: Extracting #3: cost 175 inf + 3 154.044 * * [simplify]: Extracting #4: cost 182 inf + 510 154.046 * * [simplify]: Extracting #5: cost 123 inf + 13449 154.052 * * [simplify]: Extracting #6: cost 61 inf + 37289 154.063 * * [simplify]: Extracting #7: cost 15 inf + 72081 154.076 * * [simplify]: Extracting #8: cost 0 inf + 84226 154.089 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 154.089 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 154.089 * * * * [progress]: [ 253 / 315 ] simplifiying candidate # 154.089 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 154.089 * * [simplify]: iters left: 6 (9 enodes) 154.092 * * [simplify]: iters left: 5 (38 enodes) 154.104 * * [simplify]: iters left: 4 (66 enodes) 154.126 * * [simplify]: iters left: 3 (111 enodes) 154.168 * * [simplify]: iters left: 2 (214 enodes) 154.227 * * [simplify]: iters left: 1 (483 enodes) 154.691 * * [simplify]: Extracting #0: cost 1 inf + 0 154.691 * * [simplify]: Extracting #1: cost 65 inf + 0 154.693 * * [simplify]: Extracting #2: cost 259 inf + 3 154.695 * * [simplify]: Extracting #3: cost 326 inf + 7 154.699 * * [simplify]: Extracting #4: cost 295 inf + 4594 154.711 * * [simplify]: Extracting #5: cost 198 inf + 38568 154.752 * * [simplify]: Extracting #6: cost 48 inf + 139744 154.792 * * [simplify]: Extracting #7: cost 0 inf + 174632 154.827 * * [simplify]: Extracting #8: cost 0 inf + 174167 154.859 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 154.859 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 154.859 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 154.859 * * [simplify]: iters left: 6 (11 enodes) 154.864 * * [simplify]: iters left: 5 (47 enodes) 154.871 * * [simplify]: iters left: 4 (77 enodes) 154.887 * * [simplify]: iters left: 3 (132 enodes) 154.942 * * [simplify]: iters left: 2 (289 enodes) 155.074 * * [simplify]: Extracting #0: cost 1 inf + 0 155.074 * * [simplify]: Extracting #1: cost 41 inf + 0 155.075 * * [simplify]: Extracting #2: cost 121 inf + 1 155.076 * * [simplify]: Extracting #3: cost 164 inf + 168 155.077 * * [simplify]: Extracting #4: cost 158 inf + 1132 155.079 * * [simplify]: Extracting #5: cost 116 inf + 8728 155.084 * * [simplify]: Extracting #6: cost 47 inf + 46373 155.096 * * [simplify]: Extracting #7: cost 1 inf + 78071 155.107 * * [simplify]: Extracting #8: cost 0 inf + 77063 155.127 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 155.128 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 155.128 * * * * [progress]: [ 254 / 315 ] simplifiying candidate # 155.128 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 155.128 * * [simplify]: iters left: 6 (14 enodes) 155.137 * * [simplify]: iters left: 5 (59 enodes) 155.157 * * [simplify]: iters left: 4 (97 enodes) 155.174 * * [simplify]: iters left: 3 (146 enodes) 155.210 * * [simplify]: iters left: 2 (228 enodes) 155.281 * * [simplify]: iters left: 1 (390 enodes) 155.451 * * [simplify]: Extracting #0: cost 1 inf + 0 155.451 * * [simplify]: Extracting #1: cost 6 inf + 0 155.451 * * [simplify]: Extracting #2: cost 9 inf + 1 155.452 * * [simplify]: Extracting #3: cost 33 inf + 1 155.452 * * [simplify]: Extracting #4: cost 105 inf + 2 155.453 * * [simplify]: Extracting #5: cost 151 inf + 218 155.455 * * [simplify]: Extracting #6: cost 150 inf + 478 155.459 * * [simplify]: Extracting #7: cost 74 inf + 15324 155.472 * * [simplify]: Extracting #8: cost 15 inf + 49940 155.490 * * [simplify]: Extracting #9: cost 1 inf + 61712 155.509 * * [simplify]: Extracting #10: cost 0 inf + 62247 155.527 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 155.527 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 155.528 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 155.528 * * [simplify]: iters left: 6 (14 enodes) 155.535 * * [simplify]: iters left: 5 (59 enodes) 155.555 * * [simplify]: iters left: 4 (97 enodes) 155.588 * * [simplify]: iters left: 3 (135 enodes) 155.631 * * [simplify]: iters left: 2 (215 enodes) 155.685 * * [simplify]: iters left: 1 (375 enodes) 155.788 * * [simplify]: Extracting #0: cost 1 inf + 0 155.788 * * [simplify]: Extracting #1: cost 7 inf + 0 155.788 * * [simplify]: Extracting #2: cost 12 inf + 1 155.788 * * [simplify]: Extracting #3: cost 35 inf + 2 155.789 * * [simplify]: Extracting #4: cost 110 inf + 167 155.789 * * [simplify]: Extracting #5: cost 154 inf + 465 155.791 * * [simplify]: Extracting #6: cost 105 inf + 7477 155.796 * * [simplify]: Extracting #7: cost 36 inf + 31362 155.804 * * [simplify]: Extracting #8: cost 2 inf + 59264 155.813 * * [simplify]: Extracting #9: cost 0 inf + 61311 155.822 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 155.822 * [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 (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 155.822 * * * * [progress]: [ 255 / 315 ] simplifiying candidate # 155.823 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 155.823 * * [simplify]: iters left: 6 (13 enodes) 155.827 * * [simplify]: iters left: 5 (54 enodes) 155.849 * * [simplify]: iters left: 4 (89 enodes) 155.878 * * [simplify]: iters left: 3 (129 enodes) 155.919 * * [simplify]: iters left: 2 (197 enodes) 155.993 * * [simplify]: iters left: 1 (362 enodes) 156.136 * * [simplify]: Extracting #0: cost 1 inf + 0 156.136 * * [simplify]: Extracting #1: cost 6 inf + 0 156.136 * * [simplify]: Extracting #2: cost 30 inf + 1 156.137 * * [simplify]: Extracting #3: cost 111 inf + 2 156.138 * * [simplify]: Extracting #4: cost 149 inf + 177 156.140 * * [simplify]: Extracting #5: cost 141 inf + 850 156.144 * * [simplify]: Extracting #6: cost 75 inf + 10100 156.157 * * [simplify]: Extracting #7: cost 16 inf + 44074 156.175 * * [simplify]: Extracting #8: cost 0 inf + 56275 156.194 * * [simplify]: Extracting #9: cost 0 inf + 54347 156.218 * [simplify]: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 156.218 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 156.219 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 156.219 * * [simplify]: iters left: 6 (14 enodes) 156.225 * * [simplify]: iters left: 5 (59 enodes) 156.235 * * [simplify]: iters left: 4 (98 enodes) 156.251 * * [simplify]: iters left: 3 (136 enodes) 156.294 * * [simplify]: iters left: 2 (217 enodes) 156.360 * * [simplify]: iters left: 1 (385 enodes) 156.512 * * [simplify]: Extracting #0: cost 1 inf + 0 156.512 * * [simplify]: Extracting #1: cost 7 inf + 0 156.512 * * [simplify]: Extracting #2: cost 13 inf + 1 156.513 * * [simplify]: Extracting #3: cost 38 inf + 2 156.513 * * [simplify]: Extracting #4: cost 120 inf + 167 156.515 * * [simplify]: Extracting #5: cost 155 inf + 590 156.524 * * [simplify]: Extracting #6: cost 88 inf + 17426 156.538 * * [simplify]: Extracting #7: cost 7 inf + 57346 156.549 * * [simplify]: Extracting #8: cost 0 inf + 63036 156.560 * * [simplify]: Extracting #9: cost 0 inf + 62694 156.579 * * [simplify]: Extracting #10: cost 0 inf + 62574 156.593 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 156.594 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 156.594 * * * * [progress]: [ 256 / 315 ] simplifiying candidate # 156.594 * [simplify]: Simplifying (/ 1 (/ 1 1)) 156.594 * * [simplify]: iters left: 4 (3 enodes) 156.596 * * [simplify]: iters left: 3 (7 enodes) 156.597 * * [simplify]: iters left: 2 (9 enodes) 156.599 * * [simplify]: Extracting #0: cost 1 inf + 0 156.599 * * [simplify]: Extracting #1: cost 0 inf + 1 156.599 * [simplify]: Simplified to 1 156.599 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 156.599 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.599 * * [simplify]: iters left: 6 (13 enodes) 156.603 * * [simplify]: iters left: 5 (56 enodes) 156.613 * * [simplify]: iters left: 4 (98 enodes) 156.642 * * [simplify]: iters left: 3 (153 enodes) 156.678 * * [simplify]: iters left: 2 (293 enodes) 156.786 * * [simplify]: Extracting #0: cost 1 inf + 0 156.786 * * [simplify]: Extracting #1: cost 50 inf + 0 156.787 * * [simplify]: Extracting #2: cost 126 inf + 1 156.787 * * [simplify]: Extracting #3: cost 168 inf + 127 156.788 * * [simplify]: Extracting #4: cost 164 inf + 1004 156.790 * * [simplify]: Extracting #5: cost 108 inf + 17323 156.799 * * [simplify]: Extracting #6: cost 24 inf + 65407 156.811 * * [simplify]: Extracting #7: cost 0 inf + 83227 156.834 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 156.834 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 156.834 * * * * [progress]: [ 257 / 315 ] simplifiying candidate # 156.834 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 156.834 * * [simplify]: iters left: 6 (13 enodes) 156.839 * * [simplify]: iters left: 5 (57 enodes) 156.848 * * [simplify]: iters left: 4 (96 enodes) 156.865 * * [simplify]: iters left: 3 (158 enodes) 156.903 * * [simplify]: iters left: 2 (309 enodes) 156.970 * * [simplify]: Extracting #0: cost 1 inf + 0 156.970 * * [simplify]: Extracting #1: cost 29 inf + 0 156.971 * * [simplify]: Extracting #2: cost 98 inf + 2 156.971 * * [simplify]: Extracting #3: cost 147 inf + 301 156.972 * * [simplify]: Extracting #4: cost 145 inf + 807 156.974 * * [simplify]: Extracting #5: cost 81 inf + 14519 156.983 * * [simplify]: Extracting #6: cost 8 inf + 55706 156.991 * * [simplify]: Extracting #7: cost 0 inf + 61436 157.000 * * [simplify]: Extracting #8: cost 0 inf + 61356 157.009 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 157.009 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 157.009 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 157.009 * * [simplify]: iters left: 6 (14 enodes) 157.013 * * [simplify]: iters left: 5 (62 enodes) 157.029 * * [simplify]: iters left: 4 (110 enodes) 157.065 * * [simplify]: iters left: 3 (185 enodes) 157.141 * * [simplify]: iters left: 2 (366 enodes) 157.300 * * [simplify]: Extracting #0: cost 1 inf + 0 157.300 * * [simplify]: Extracting #1: cost 51 inf + 0 157.301 * * [simplify]: Extracting #2: cost 132 inf + 1 157.301 * * [simplify]: Extracting #3: cost 187 inf + 127 157.302 * * [simplify]: Extracting #4: cost 176 inf + 1426 157.305 * * [simplify]: Extracting #5: cost 130 inf + 8691 157.313 * * [simplify]: Extracting #6: cost 53 inf + 49151 157.335 * * [simplify]: Extracting #7: cost 4 inf + 86082 157.348 * * [simplify]: Extracting #8: cost 0 inf + 87327 157.363 * * [simplify]: Extracting #9: cost 0 inf + 87195 157.384 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 157.384 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 157.384 * * * * [progress]: [ 258 / 315 ] simplifiying candidate # 157.384 * [simplify]: Simplifying (/ 1 1) 157.384 * * [simplify]: iters left: 2 (2 enodes) 157.386 * * [simplify]: iters left: 1 (6 enodes) 157.387 * * [simplify]: Extracting #0: cost 1 inf + 0 157.387 * * [simplify]: Extracting #1: cost 0 inf + 1 157.387 * [simplify]: Simplified to 1 157.387 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 157.387 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 157.387 * * [simplify]: iters left: 6 (13 enodes) 157.391 * * [simplify]: iters left: 5 (56 enodes) 157.401 * * [simplify]: iters left: 4 (98 enodes) 157.421 * * [simplify]: iters left: 3 (153 enodes) 157.460 * * [simplify]: iters left: 2 (293 enodes) 157.599 * * [simplify]: Extracting #0: cost 1 inf + 0 157.600 * * [simplify]: Extracting #1: cost 50 inf + 0 157.600 * * [simplify]: Extracting #2: cost 126 inf + 1 157.601 * * [simplify]: Extracting #3: cost 168 inf + 127 157.601 * * [simplify]: Extracting #4: cost 164 inf + 1004 157.604 * * [simplify]: Extracting #5: cost 108 inf + 17323 157.613 * * [simplify]: Extracting #6: cost 24 inf + 65407 157.626 * * [simplify]: Extracting #7: cost 0 inf + 83227 157.649 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 157.649 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 157.649 * * * * [progress]: [ 259 / 315 ] simplifiying candidate # 157.650 * [simplify]: Simplifying (/ 1 (sqrt k)) 157.650 * * [simplify]: iters left: 3 (4 enodes) 157.652 * * [simplify]: iters left: 2 (14 enodes) 157.657 * * [simplify]: iters left: 1 (16 enodes) 157.663 * * [simplify]: Extracting #0: cost 1 inf + 0 157.663 * * [simplify]: Extracting #1: cost 4 inf + 0 157.663 * * [simplify]: Extracting #2: cost 5 inf + 1 157.663 * * [simplify]: Extracting #3: cost 3 inf + 43 157.663 * * [simplify]: Extracting #4: cost 1 inf + 166 157.663 * * [simplify]: Extracting #5: cost 0 inf + 248 157.663 * [simplify]: Simplified to (/ 1 (sqrt k)) 157.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 157.663 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 157.663 * * [simplify]: iters left: 6 (12 enodes) 157.667 * * [simplify]: iters left: 5 (51 enodes) 157.676 * * [simplify]: iters left: 4 (87 enodes) 157.694 * * [simplify]: iters left: 3 (138 enodes) 157.720 * * [simplify]: iters left: 2 (241 enodes) 157.807 * * [simplify]: Extracting #0: cost 1 inf + 0 157.807 * * [simplify]: Extracting #1: cost 30 inf + 0 157.807 * * [simplify]: Extracting #2: cost 91 inf + 2 157.808 * * [simplify]: Extracting #3: cost 132 inf + 174 157.808 * * [simplify]: Extracting #4: cost 123 inf + 597 157.810 * * [simplify]: Extracting #5: cost 88 inf + 4440 157.812 * * [simplify]: Extracting #6: cost 61 inf + 13805 157.818 * * [simplify]: Extracting #7: cost 11 inf + 48911 157.834 * * [simplify]: Extracting #8: cost 0 inf + 57402 157.850 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 157.850 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 157.851 * * * * [progress]: [ 260 / 315 ] simplifiying candidate # 157.851 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 157.851 * * [simplify]: iters left: 6 (12 enodes) 157.858 * * [simplify]: iters left: 5 (48 enodes) 157.879 * * [simplify]: iters left: 4 (83 enodes) 157.897 * * [simplify]: iters left: 3 (143 enodes) 157.932 * * [simplify]: iters left: 2 (290 enodes) 158.042 * * [simplify]: Extracting #0: cost 1 inf + 0 158.042 * * [simplify]: Extracting #1: cost 38 inf + 0 158.042 * * [simplify]: Extracting #2: cost 104 inf + 1 158.043 * * [simplify]: Extracting #3: cost 103 inf + 255 158.043 * * [simplify]: Extracting #4: cost 97 inf + 591 158.044 * * [simplify]: Extracting #5: cost 71 inf + 9040 158.049 * * [simplify]: Extracting #6: cost 6 inf + 46887 158.055 * * [simplify]: Extracting #7: cost 0 inf + 51156 158.061 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 158.061 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 158.061 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 158.061 * * [simplify]: iters left: 6 (10 enodes) 158.064 * * [simplify]: iters left: 5 (39 enodes) 158.071 * * [simplify]: iters left: 4 (63 enodes) 158.081 * * [simplify]: iters left: 3 (98 enodes) 158.097 * * [simplify]: iters left: 2 (168 enodes) 158.159 * * [simplify]: iters left: 1 (314 enodes) 158.280 * * [simplify]: Extracting #0: cost 1 inf + 0 158.280 * * [simplify]: Extracting #1: cost 6 inf + 0 158.280 * * [simplify]: Extracting #2: cost 36 inf + 1 158.280 * * [simplify]: Extracting #3: cost 123 inf + 2 158.281 * * [simplify]: Extracting #4: cost 145 inf + 218 158.282 * * [simplify]: Extracting #5: cost 110 inf + 2802 158.284 * * [simplify]: Extracting #6: cost 71 inf + 13410 158.290 * * [simplify]: Extracting #7: cost 13 inf + 54153 158.305 * * [simplify]: Extracting #8: cost 0 inf + 62461 158.328 * * [simplify]: Extracting #9: cost 0 inf + 61778 158.347 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 158.347 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 158.347 * * * * [progress]: [ 261 / 315 ] simplifiying candidate # 158.347 * * * * [progress]: [ 262 / 315 ] simplifiying candidate # 158.347 * * * * [progress]: [ 263 / 315 ] simplifiying candidate # 158.348 * * * * [progress]: [ 264 / 315 ] simplifiying candidate # 158.348 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.348 * * [simplify]: iters left: 6 (13 enodes) 158.355 * * [simplify]: iters left: 5 (54 enodes) 158.373 * * [simplify]: iters left: 4 (89 enodes) 158.401 * * [simplify]: iters left: 3 (133 enodes) 158.444 * * [simplify]: iters left: 2 (208 enodes) 158.522 * * [simplify]: iters left: 1 (374 enodes) 158.662 * * [simplify]: Extracting #0: cost 1 inf + 0 158.662 * * [simplify]: Extracting #1: cost 3 inf + 0 158.662 * * [simplify]: Extracting #2: cost 8 inf + 0 158.662 * * [simplify]: Extracting #3: cost 39 inf + 0 158.663 * * [simplify]: Extracting #4: cost 123 inf + 43 158.663 * * [simplify]: Extracting #5: cost 156 inf + 344 158.665 * * [simplify]: Extracting #6: cost 105 inf + 7718 158.678 * * [simplify]: Extracting #7: cost 41 inf + 34647 158.689 * * [simplify]: Extracting #8: cost 0 inf + 70554 158.700 * * [simplify]: Extracting #9: cost 0 inf + 69960 158.711 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.711 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 158.711 * * * * [progress]: [ 265 / 315 ] simplifiying candidate # 158.711 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.712 * * [simplify]: iters left: 6 (13 enodes) 158.719 * * [simplify]: iters left: 5 (54 enodes) 158.737 * * [simplify]: iters left: 4 (89 enodes) 158.765 * * [simplify]: iters left: 3 (133 enodes) 158.813 * * [simplify]: iters left: 2 (208 enodes) 158.889 * * [simplify]: iters left: 1 (374 enodes) 159.030 * * [simplify]: Extracting #0: cost 1 inf + 0 159.030 * * [simplify]: Extracting #1: cost 3 inf + 0 159.030 * * [simplify]: Extracting #2: cost 8 inf + 0 159.030 * * [simplify]: Extracting #3: cost 39 inf + 0 159.030 * * [simplify]: Extracting #4: cost 123 inf + 43 159.031 * * [simplify]: Extracting #5: cost 156 inf + 344 159.033 * * [simplify]: Extracting #6: cost 105 inf + 7718 159.038 * * [simplify]: Extracting #7: cost 41 inf + 34567 159.048 * * [simplify]: Extracting #8: cost 0 inf + 70474 159.061 * * [simplify]: Extracting #9: cost 0 inf + 69880 159.081 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.082 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 159.082 * * * * [progress]: [ 266 / 315 ] simplifiying candidate # 159.082 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 159.082 * * [simplify]: iters left: 6 (11 enodes) 159.089 * * [simplify]: iters left: 5 (45 enodes) 159.104 * * [simplify]: iters left: 4 (68 enodes) 159.127 * * [simplify]: iters left: 3 (108 enodes) 159.160 * * [simplify]: iters left: 2 (205 enodes) 159.209 * * [simplify]: iters left: 1 (386 enodes) 159.352 * * [simplify]: Extracting #0: cost 1 inf + 0 159.352 * * [simplify]: Extracting #1: cost 6 inf + 0 159.352 * * [simplify]: Extracting #2: cost 36 inf + 0 159.352 * * [simplify]: Extracting #3: cost 122 inf + 1 159.353 * * [simplify]: Extracting #4: cost 156 inf + 1084 159.358 * * [simplify]: Extracting #5: cost 92 inf + 19572 159.373 * * [simplify]: Extracting #6: cost 25 inf + 52933 159.388 * * [simplify]: Extracting #7: cost 0 inf + 71185 159.398 * * [simplify]: Extracting #8: cost 0 inf + 70923 159.409 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 159.409 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 159.409 * * * * [progress]: [ 267 / 315 ] simplifiying candidate # 159.409 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.409 * * [simplify]: iters left: 6 (14 enodes) 159.416 * * [simplify]: iters left: 5 (57 enodes) 159.440 * * [simplify]: iters left: 4 (90 enodes) 159.468 * * [simplify]: iters left: 3 (126 enodes) 159.509 * * [simplify]: iters left: 2 (194 enodes) 159.556 * * [simplify]: iters left: 1 (356 enodes) 159.693 * * [simplify]: Extracting #0: cost 1 inf + 0 159.693 * * [simplify]: Extracting #1: cost 4 inf + 0 159.693 * * [simplify]: Extracting #2: cost 8 inf + 0 159.693 * * [simplify]: Extracting #3: cost 34 inf + 0 159.693 * * [simplify]: Extracting #4: cost 118 inf + 43 159.694 * * [simplify]: Extracting #5: cost 153 inf + 422 159.695 * * [simplify]: Extracting #6: cost 108 inf + 6596 159.699 * * [simplify]: Extracting #7: cost 62 inf + 18565 159.705 * * [simplify]: Extracting #8: cost 23 inf + 48640 159.716 * * [simplify]: Extracting #9: cost 0 inf + 68118 159.735 * * [simplify]: Extracting #10: cost 0 inf + 67780 159.750 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 159.750 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 159.750 * * * * [progress]: [ 268 / 315 ] simplifiying candidate # 159.751 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.751 * * [simplify]: iters left: 6 (14 enodes) 159.754 * * [simplify]: iters left: 5 (57 enodes) 159.764 * * [simplify]: iters left: 4 (91 enodes) 159.780 * * [simplify]: iters left: 3 (127 enodes) 159.814 * * [simplify]: iters left: 2 (195 enodes) 159.858 * * [simplify]: iters left: 1 (361 enodes) 159.983 * * [simplify]: Extracting #0: cost 1 inf + 0 159.983 * * [simplify]: Extracting #1: cost 4 inf + 0 159.983 * * [simplify]: Extracting #2: cost 9 inf + 0 159.983 * * [simplify]: Extracting #3: cost 37 inf + 0 159.983 * * [simplify]: Extracting #4: cost 126 inf + 43 159.984 * * [simplify]: Extracting #5: cost 159 inf + 465 159.986 * * [simplify]: Extracting #6: cost 108 inf + 7630 159.994 * * [simplify]: Extracting #7: cost 48 inf + 28780 160.006 * * [simplify]: Extracting #8: cost 5 inf + 65583 160.023 * * [simplify]: Extracting #9: cost 0 inf + 66579 160.034 * * [simplify]: Extracting #10: cost 0 inf + 65928 160.045 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 160.045 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 160.045 * * * * [progress]: [ 269 / 315 ] simplifiying candidate # 160.045 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 160.046 * * [simplify]: iters left: 6 (13 enodes) 160.053 * * [simplify]: iters left: 5 (54 enodes) 160.071 * * [simplify]: iters left: 4 (85 enodes) 160.091 * * [simplify]: iters left: 3 (127 enodes) 160.120 * * [simplify]: iters left: 2 (219 enodes) 160.171 * * [simplify]: iters left: 1 (391 enodes) 160.323 * * [simplify]: Extracting #0: cost 1 inf + 0 160.324 * * [simplify]: Extracting #1: cost 6 inf + 0 160.324 * * [simplify]: Extracting #2: cost 38 inf + 0 160.324 * * [simplify]: Extracting #3: cost 124 inf + 1 160.325 * * [simplify]: Extracting #4: cost 161 inf + 627 160.326 * * [simplify]: Extracting #5: cost 125 inf + 3411 160.334 * * [simplify]: Extracting #6: cost 63 inf + 27050 160.352 * * [simplify]: Extracting #7: cost 12 inf + 63415 160.374 * * [simplify]: Extracting #8: cost 0 inf + 72844 160.395 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 160.396 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 160.396 * * * * [progress]: [ 270 / 315 ] simplifiying candidate # 160.396 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 160.396 * * [simplify]: iters left: 6 (14 enodes) 160.404 * * [simplify]: iters left: 5 (60 enodes) 160.425 * * [simplify]: iters left: 4 (98 enodes) 160.453 * * [simplify]: iters left: 3 (154 enodes) 160.490 * * [simplify]: iters left: 2 (277 enodes) 160.568 * * [simplify]: Extracting #0: cost 1 inf + 0 160.568 * * [simplify]: Extracting #1: cost 6 inf + 0 160.569 * * [simplify]: Extracting #2: cost 27 inf + 0 160.569 * * [simplify]: Extracting #3: cost 96 inf + 1 160.569 * * [simplify]: Extracting #4: cost 118 inf + 383 160.571 * * [simplify]: Extracting #5: cost 69 inf + 7980 160.573 * * [simplify]: Extracting #6: cost 30 inf + 15387 160.578 * * [simplify]: Extracting #7: cost 1 inf + 34479 160.584 * * [simplify]: Extracting #8: cost 0 inf + 35436 160.589 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 160.589 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 160.589 * * * * [progress]: [ 271 / 315 ] simplifiying candidate # 160.590 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 160.590 * * [simplify]: iters left: 6 (11 enodes) 160.593 * * [simplify]: iters left: 5 (45 enodes) 160.607 * * [simplify]: iters left: 4 (68 enodes) 160.630 * * [simplify]: iters left: 3 (108 enodes) 160.676 * * [simplify]: iters left: 2 (205 enodes) 160.753 * * [simplify]: iters left: 1 (386 enodes) 160.896 * * [simplify]: Extracting #0: cost 1 inf + 0 160.896 * * [simplify]: Extracting #1: cost 6 inf + 0 160.896 * * [simplify]: Extracting #2: cost 36 inf + 0 160.897 * * [simplify]: Extracting #3: cost 122 inf + 1 160.897 * * [simplify]: Extracting #4: cost 156 inf + 1164 160.902 * * [simplify]: Extracting #5: cost 92 inf + 19652 160.917 * * [simplify]: Extracting #6: cost 25 inf + 53013 160.928 * * [simplify]: Extracting #7: cost 0 inf + 71265 160.939 * * [simplify]: Extracting #8: cost 0 inf + 71003 160.952 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 160.953 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 160.953 * * * * [progress]: [ 272 / 315 ] simplifiying candidate # 160.953 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.953 * * [simplify]: iters left: 6 (14 enodes) 160.961 * * [simplify]: iters left: 5 (57 enodes) 160.975 * * [simplify]: iters left: 4 (90 enodes) 160.989 * * [simplify]: iters left: 3 (126 enodes) 161.030 * * [simplify]: iters left: 2 (194 enodes) 161.080 * * [simplify]: iters left: 1 (356 enodes) 161.238 * * [simplify]: Extracting #0: cost 1 inf + 0 161.238 * * [simplify]: Extracting #1: cost 4 inf + 0 161.238 * * [simplify]: Extracting #2: cost 8 inf + 0 161.238 * * [simplify]: Extracting #3: cost 34 inf + 0 161.239 * * [simplify]: Extracting #4: cost 118 inf + 83 161.239 * * [simplify]: Extracting #5: cost 153 inf + 502 161.241 * * [simplify]: Extracting #6: cost 108 inf + 6676 161.244 * * [simplify]: Extracting #7: cost 62 inf + 18645 161.250 * * [simplify]: Extracting #8: cost 23 inf + 48720 161.260 * * [simplify]: Extracting #9: cost 0 inf + 68198 161.274 * * [simplify]: Extracting #10: cost 0 inf + 67860 161.286 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 161.286 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 161.286 * * * * [progress]: [ 273 / 315 ] simplifiying candidate # 161.287 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.287 * * [simplify]: iters left: 6 (14 enodes) 161.291 * * [simplify]: iters left: 5 (57 enodes) 161.301 * * [simplify]: iters left: 4 (91 enodes) 161.323 * * [simplify]: iters left: 3 (127 enodes) 161.359 * * [simplify]: iters left: 2 (195 enodes) 161.435 * * [simplify]: iters left: 1 (361 enodes) 161.607 * * [simplify]: Extracting #0: cost 1 inf + 0 161.607 * * [simplify]: Extracting #1: cost 4 inf + 0 161.607 * * [simplify]: Extracting #2: cost 9 inf + 0 161.608 * * [simplify]: Extracting #3: cost 37 inf + 0 161.608 * * [simplify]: Extracting #4: cost 126 inf + 83 161.609 * * [simplify]: Extracting #5: cost 159 inf + 545 161.611 * * [simplify]: Extracting #6: cost 108 inf + 7710 161.619 * * [simplify]: Extracting #7: cost 48 inf + 28860 161.629 * * [simplify]: Extracting #8: cost 5 inf + 65663 161.642 * * [simplify]: Extracting #9: cost 0 inf + 66659 161.653 * * [simplify]: Extracting #10: cost 0 inf + 66008 161.664 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 161.664 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 161.665 * * * * [progress]: [ 274 / 315 ] simplifiying candidate # 161.665 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 161.665 * * [simplify]: iters left: 6 (13 enodes) 161.669 * * [simplify]: iters left: 5 (54 enodes) 161.680 * * [simplify]: iters left: 4 (85 enodes) 161.706 * * [simplify]: iters left: 3 (127 enodes) 161.752 * * [simplify]: iters left: 2 (219 enodes) 161.826 * * [simplify]: iters left: 1 (391 enodes) 161.969 * * [simplify]: Extracting #0: cost 1 inf + 0 161.969 * * [simplify]: Extracting #1: cost 6 inf + 0 161.969 * * [simplify]: Extracting #2: cost 38 inf + 0 161.969 * * [simplify]: Extracting #3: cost 124 inf + 1 161.970 * * [simplify]: Extracting #4: cost 161 inf + 707 161.971 * * [simplify]: Extracting #5: cost 125 inf + 3491 161.976 * * [simplify]: Extracting #6: cost 63 inf + 27130 161.986 * * [simplify]: Extracting #7: cost 12 inf + 63495 162.004 * * [simplify]: Extracting #8: cost 0 inf + 72924 162.026 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 162.026 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 162.027 * * * * [progress]: [ 275 / 315 ] simplifiying candidate # 162.027 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 162.027 * * [simplify]: iters left: 6 (14 enodes) 162.035 * * [simplify]: iters left: 5 (60 enodes) 162.060 * * [simplify]: iters left: 4 (98 enodes) 162.081 * * [simplify]: iters left: 3 (154 enodes) 162.109 * * [simplify]: iters left: 2 (277 enodes) 162.192 * * [simplify]: Extracting #0: cost 1 inf + 0 162.192 * * [simplify]: Extracting #1: cost 6 inf + 0 162.192 * * [simplify]: Extracting #2: cost 27 inf + 0 162.192 * * [simplify]: Extracting #3: cost 96 inf + 1 162.193 * * [simplify]: Extracting #4: cost 118 inf + 423 162.194 * * [simplify]: Extracting #5: cost 69 inf + 8060 162.197 * * [simplify]: Extracting #6: cost 30 inf + 15467 162.206 * * [simplify]: Extracting #7: cost 1 inf + 34559 162.213 * * [simplify]: Extracting #8: cost 0 inf + 35516 162.218 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 162.218 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 162.218 * * * * [progress]: [ 276 / 315 ] simplifiying candidate # 162.218 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 162.218 * * [simplify]: iters left: 6 (11 enodes) 162.222 * * [simplify]: iters left: 5 (45 enodes) 162.229 * * [simplify]: iters left: 4 (68 enodes) 162.240 * * [simplify]: iters left: 3 (108 enodes) 162.273 * * [simplify]: iters left: 2 (205 enodes) 162.322 * * [simplify]: iters left: 1 (386 enodes) 162.477 * * [simplify]: Extracting #0: cost 1 inf + 0 162.477 * * [simplify]: Extracting #1: cost 6 inf + 0 162.477 * * [simplify]: Extracting #2: cost 36 inf + 0 162.478 * * [simplify]: Extracting #3: cost 122 inf + 1 162.479 * * [simplify]: Extracting #4: cost 156 inf + 1004 162.485 * * [simplify]: Extracting #5: cost 92 inf + 19132 162.499 * * [simplify]: Extracting #6: cost 25 inf + 52173 162.519 * * [simplify]: Extracting #7: cost 0 inf + 70265 162.540 * * [simplify]: Extracting #8: cost 0 inf + 70003 162.561 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 162.562 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 162.562 * * * * [progress]: [ 277 / 315 ] simplifiying candidate # 162.562 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 162.562 * * [simplify]: iters left: 6 (14 enodes) 162.570 * * [simplify]: iters left: 5 (57 enodes) 162.592 * * [simplify]: iters left: 4 (90 enodes) 162.620 * * [simplify]: iters left: 3 (126 enodes) 162.660 * * [simplify]: iters left: 2 (194 enodes) 162.732 * * [simplify]: iters left: 1 (356 enodes) 162.861 * * [simplify]: Extracting #0: cost 1 inf + 0 162.861 * * [simplify]: Extracting #1: cost 4 inf + 0 162.861 * * [simplify]: Extracting #2: cost 8 inf + 0 162.861 * * [simplify]: Extracting #3: cost 34 inf + 0 162.862 * * [simplify]: Extracting #4: cost 118 inf + 43 162.863 * * [simplify]: Extracting #5: cost 153 inf + 382 162.866 * * [simplify]: Extracting #6: cost 108 inf + 6516 162.872 * * [simplify]: Extracting #7: cost 62 inf + 18405 162.884 * * [simplify]: Extracting #8: cost 23 inf + 48480 162.903 * * [simplify]: Extracting #9: cost 0 inf + 67958 162.926 * * [simplify]: Extracting #10: cost 0 inf + 67620 162.946 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 162.946 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 162.946 * * * * [progress]: [ 278 / 315 ] simplifiying candidate # 162.946 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 162.946 * * [simplify]: iters left: 6 (14 enodes) 162.954 * * [simplify]: iters left: 5 (57 enodes) 162.963 * * [simplify]: iters left: 4 (91 enodes) 162.977 * * [simplify]: iters left: 3 (127 enodes) 163.003 * * [simplify]: iters left: 2 (195 enodes) 163.076 * * [simplify]: iters left: 1 (361 enodes) 163.236 * * [simplify]: Extracting #0: cost 1 inf + 0 163.236 * * [simplify]: Extracting #1: cost 4 inf + 0 163.236 * * [simplify]: Extracting #2: cost 9 inf + 0 163.236 * * [simplify]: Extracting #3: cost 37 inf + 0 163.237 * * [simplify]: Extracting #4: cost 126 inf + 43 163.238 * * [simplify]: Extracting #5: cost 159 inf + 425 163.242 * * [simplify]: Extracting #6: cost 108 inf + 7550 163.256 * * [simplify]: Extracting #7: cost 48 inf + 28620 163.275 * * [simplify]: Extracting #8: cost 5 inf + 65423 163.295 * * [simplify]: Extracting #9: cost 0 inf + 66419 163.317 * * [simplify]: Extracting #10: cost 0 inf + 65768 163.339 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 163.339 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 163.339 * * * * [progress]: [ 279 / 315 ] simplifiying candidate # 163.339 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 163.340 * * [simplify]: iters left: 6 (13 enodes) 163.347 * * [simplify]: iters left: 5 (54 enodes) 163.364 * * [simplify]: iters left: 4 (85 enodes) 163.391 * * [simplify]: iters left: 3 (127 enodes) 163.436 * * [simplify]: iters left: 2 (219 enodes) 163.482 * * [simplify]: iters left: 1 (391 enodes) 163.608 * * [simplify]: Extracting #0: cost 1 inf + 0 163.608 * * [simplify]: Extracting #1: cost 6 inf + 0 163.608 * * [simplify]: Extracting #2: cost 38 inf + 0 163.608 * * [simplify]: Extracting #3: cost 124 inf + 1 163.609 * * [simplify]: Extracting #4: cost 161 inf + 547 163.611 * * [simplify]: Extracting #5: cost 125 inf + 3331 163.619 * * [simplify]: Extracting #6: cost 63 inf + 26730 163.638 * * [simplify]: Extracting #7: cost 12 inf + 62575 163.660 * * [simplify]: Extracting #8: cost 0 inf + 71924 163.680 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 163.680 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 163.680 * * * * [progress]: [ 280 / 315 ] simplifiying candidate # 163.680 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 163.680 * * [simplify]: iters left: 6 (14 enodes) 163.684 * * [simplify]: iters left: 5 (60 enodes) 163.698 * * [simplify]: iters left: 4 (98 enodes) 163.722 * * [simplify]: iters left: 3 (154 enodes) 163.776 * * [simplify]: iters left: 2 (277 enodes) 163.862 * * [simplify]: Extracting #0: cost 1 inf + 0 163.862 * * [simplify]: Extracting #1: cost 6 inf + 0 163.862 * * [simplify]: Extracting #2: cost 27 inf + 0 163.862 * * [simplify]: Extracting #3: cost 96 inf + 1 163.863 * * [simplify]: Extracting #4: cost 118 inf + 343 163.864 * * [simplify]: Extracting #5: cost 69 inf + 7820 163.867 * * [simplify]: Extracting #6: cost 30 inf + 15107 163.871 * * [simplify]: Extracting #7: cost 1 inf + 33879 163.876 * * [simplify]: Extracting #8: cost 0 inf + 34836 163.881 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 163.882 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 163.882 * * * * [progress]: [ 281 / 315 ] simplifiying candidate # 163.882 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 163.882 * * [simplify]: iters left: 6 (10 enodes) 163.888 * * [simplify]: iters left: 5 (42 enodes) 163.902 * * [simplify]: iters left: 4 (65 enodes) 163.923 * * [simplify]: iters left: 3 (102 enodes) 163.964 * * [simplify]: iters left: 2 (194 enodes) 164.001 * * [simplify]: iters left: 1 (369 enodes) 164.127 * * [simplify]: Extracting #0: cost 1 inf + 0 164.127 * * [simplify]: Extracting #1: cost 6 inf + 0 164.128 * * [simplify]: Extracting #2: cost 41 inf + 0 164.128 * * [simplify]: Extracting #3: cost 120 inf + 84 164.129 * * [simplify]: Extracting #4: cost 150 inf + 632 164.131 * * [simplify]: Extracting #5: cost 101 inf + 9941 164.142 * * [simplify]: Extracting #6: cost 31 inf + 43542 164.158 * * [simplify]: Extracting #7: cost 1 inf + 71261 164.168 * * [simplify]: Extracting #8: cost 0 inf + 68919 164.179 * * [simplify]: Extracting #9: cost 0 inf + 66507 164.190 * * [simplify]: Extracting #10: cost 0 inf + 65470 164.201 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 164.201 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 164.201 * * * * [progress]: [ 282 / 315 ] simplifiying candidate # 164.201 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.201 * * [simplify]: iters left: 6 (13 enodes) 164.205 * * [simplify]: iters left: 5 (54 enodes) 164.217 * * [simplify]: iters left: 4 (87 enodes) 164.245 * * [simplify]: iters left: 3 (127 enodes) 164.285 * * [simplify]: iters left: 2 (196 enodes) 164.341 * * [simplify]: iters left: 1 (351 enodes) 164.463 * * [simplify]: Extracting #0: cost 1 inf + 0 164.463 * * [simplify]: Extracting #1: cost 4 inf + 0 164.463 * * [simplify]: Extracting #2: cost 8 inf + 0 164.464 * * [simplify]: Extracting #3: cost 32 inf + 1 164.464 * * [simplify]: Extracting #4: cost 115 inf + 43 164.465 * * [simplify]: Extracting #5: cost 148 inf + 301 164.467 * * [simplify]: Extracting #6: cost 97 inf + 9254 164.473 * * [simplify]: Extracting #7: cost 25 inf + 48526 164.483 * * [simplify]: Extracting #8: cost 0 inf + 66742 164.493 * * [simplify]: Extracting #9: cost 0 inf + 66320 164.515 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.516 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 164.516 * * * * [progress]: [ 283 / 315 ] simplifiying candidate # 164.516 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.516 * * [simplify]: iters left: 6 (13 enodes) 164.524 * * [simplify]: iters left: 5 (54 enodes) 164.542 * * [simplify]: iters left: 4 (88 enodes) 164.562 * * [simplify]: iters left: 3 (124 enodes) 164.584 * * [simplify]: iters left: 2 (192 enodes) 164.630 * * [simplify]: iters left: 1 (353 enodes) 164.756 * * [simplify]: Extracting #0: cost 1 inf + 0 164.757 * * [simplify]: Extracting #1: cost 4 inf + 0 164.757 * * [simplify]: Extracting #2: cost 9 inf + 0 164.757 * * [simplify]: Extracting #3: cost 33 inf + 1 164.757 * * [simplify]: Extracting #4: cost 119 inf + 43 164.758 * * [simplify]: Extracting #5: cost 143 inf + 633 164.759 * * [simplify]: Extracting #6: cost 96 inf + 8965 164.766 * * [simplify]: Extracting #7: cost 19 inf + 49656 164.777 * * [simplify]: Extracting #8: cost 0 inf + 65011 164.790 * * [simplify]: Extracting #9: cost 0 inf + 64202 164.812 * * [simplify]: Extracting #10: cost 0 inf + 61652 164.834 * * [simplify]: Extracting #11: cost 0 inf + 61028 164.855 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.855 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 164.856 * * * * [progress]: [ 284 / 315 ] simplifiying candidate # 164.856 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 164.856 * * [simplify]: iters left: 6 (12 enodes) 164.863 * * [simplify]: iters left: 5 (51 enodes) 164.873 * * [simplify]: iters left: 4 (86 enodes) 164.887 * * [simplify]: iters left: 3 (131 enodes) 164.910 * * [simplify]: iters left: 2 (210 enodes) 164.970 * * [simplify]: iters left: 1 (376 enodes) 165.127 * * [simplify]: Extracting #0: cost 1 inf + 0 165.127 * * [simplify]: Extracting #1: cost 6 inf + 0 165.127 * * [simplify]: Extracting #2: cost 39 inf + 0 165.128 * * [simplify]: Extracting #3: cost 126 inf + 43 165.129 * * [simplify]: Extracting #4: cost 157 inf + 427 165.132 * * [simplify]: Extracting #5: cost 123 inf + 3535 165.137 * * [simplify]: Extracting #6: cost 80 inf + 12590 165.148 * * [simplify]: Extracting #7: cost 35 inf + 41559 165.159 * * [simplify]: Extracting #8: cost 0 inf + 71226 165.168 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 165.169 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 165.169 * * * * [progress]: [ 285 / 315 ] simplifiying candidate # 165.169 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 165.169 * * [simplify]: iters left: 6 (13 enodes) 165.173 * * [simplify]: iters left: 5 (57 enodes) 165.192 * * [simplify]: iters left: 4 (95 enodes) 165.226 * * [simplify]: iters left: 3 (148 enodes) 165.275 * * [simplify]: iters left: 2 (248 enodes) 165.357 * * [simplify]: iters left: 1 (441 enodes) 165.495 * * [simplify]: Extracting #0: cost 1 inf + 0 165.495 * * [simplify]: Extracting #1: cost 6 inf + 0 165.495 * * [simplify]: Extracting #2: cost 39 inf + 0 165.496 * * [simplify]: Extracting #3: cost 136 inf + 84 165.497 * * [simplify]: Extracting #4: cost 174 inf + 678 165.502 * * [simplify]: Extracting #5: cost 122 inf + 10036 165.514 * * [simplify]: Extracting #6: cost 42 inf + 40247 165.537 * * [simplify]: Extracting #7: cost 1 inf + 72437 165.549 * * [simplify]: Extracting #8: cost 0 inf + 71690 165.565 * * [simplify]: Extracting #9: cost 0 inf + 71650 165.587 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 165.587 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 165.588 * * * * [progress]: [ 286 / 315 ] simplifiying candidate # 165.588 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 165.588 * * [simplify]: iters left: 6 (11 enodes) 165.594 * * [simplify]: iters left: 5 (45 enodes) 165.609 * * [simplify]: iters left: 4 (68 enodes) 165.631 * * [simplify]: iters left: 3 (108 enodes) 165.660 * * [simplify]: iters left: 2 (205 enodes) 165.711 * * [simplify]: iters left: 1 (386 enodes) 165.824 * * [simplify]: Extracting #0: cost 1 inf + 0 165.824 * * [simplify]: Extracting #1: cost 6 inf + 0 165.824 * * [simplify]: Extracting #2: cost 36 inf + 0 165.824 * * [simplify]: Extracting #3: cost 122 inf + 1 165.825 * * [simplify]: Extracting #4: cost 156 inf + 1004 165.828 * * [simplify]: Extracting #5: cost 92 inf + 19132 165.836 * * [simplify]: Extracting #6: cost 25 inf + 52173 165.856 * * [simplify]: Extracting #7: cost 0 inf + 70265 165.872 * * [simplify]: Extracting #8: cost 0 inf + 70003 165.882 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 165.882 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 165.882 * * * * [progress]: [ 287 / 315 ] simplifiying candidate # 165.882 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.883 * * [simplify]: iters left: 6 (14 enodes) 165.886 * * [simplify]: iters left: 5 (57 enodes) 165.897 * * [simplify]: iters left: 4 (90 enodes) 165.914 * * [simplify]: iters left: 3 (126 enodes) 165.940 * * [simplify]: iters left: 2 (194 enodes) 166.002 * * [simplify]: iters left: 1 (356 enodes) 166.164 * * [simplify]: Extracting #0: cost 1 inf + 0 166.164 * * [simplify]: Extracting #1: cost 4 inf + 0 166.164 * * [simplify]: Extracting #2: cost 8 inf + 0 166.164 * * [simplify]: Extracting #3: cost 34 inf + 0 166.164 * * [simplify]: Extracting #4: cost 118 inf + 43 166.165 * * [simplify]: Extracting #5: cost 153 inf + 382 166.166 * * [simplify]: Extracting #6: cost 108 inf + 6516 166.169 * * [simplify]: Extracting #7: cost 62 inf + 18405 166.176 * * [simplify]: Extracting #8: cost 23 inf + 48480 166.186 * * [simplify]: Extracting #9: cost 0 inf + 67958 166.200 * * [simplify]: Extracting #10: cost 0 inf + 67620 166.219 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 166.219 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 166.219 * * * * [progress]: [ 288 / 315 ] simplifiying candidate # 166.219 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.219 * * [simplify]: iters left: 6 (14 enodes) 166.226 * * [simplify]: iters left: 5 (57 enodes) 166.236 * * [simplify]: iters left: 4 (91 enodes) 166.252 * * [simplify]: iters left: 3 (127 enodes) 166.282 * * [simplify]: iters left: 2 (195 enodes) 166.324 * * [simplify]: iters left: 1 (361 enodes) 166.472 * * [simplify]: Extracting #0: cost 1 inf + 0 166.472 * * [simplify]: Extracting #1: cost 4 inf + 0 166.472 * * [simplify]: Extracting #2: cost 9 inf + 0 166.472 * * [simplify]: Extracting #3: cost 37 inf + 0 166.472 * * [simplify]: Extracting #4: cost 126 inf + 43 166.473 * * [simplify]: Extracting #5: cost 159 inf + 425 166.475 * * [simplify]: Extracting #6: cost 108 inf + 7550 166.480 * * [simplify]: Extracting #7: cost 48 inf + 28620 166.492 * * [simplify]: Extracting #8: cost 5 inf + 65423 166.503 * * [simplify]: Extracting #9: cost 0 inf + 66419 166.514 * * [simplify]: Extracting #10: cost 0 inf + 65768 166.532 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 166.532 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 166.532 * * * * [progress]: [ 289 / 315 ] simplifiying candidate # 166.533 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 166.533 * * [simplify]: iters left: 6 (13 enodes) 166.541 * * [simplify]: iters left: 5 (54 enodes) 166.559 * * [simplify]: iters left: 4 (85 enodes) 166.574 * * [simplify]: iters left: 3 (127 enodes) 166.601 * * [simplify]: iters left: 2 (219 enodes) 166.659 * * [simplify]: iters left: 1 (391 enodes) 166.810 * * [simplify]: Extracting #0: cost 1 inf + 0 166.810 * * [simplify]: Extracting #1: cost 6 inf + 0 166.810 * * [simplify]: Extracting #2: cost 38 inf + 0 166.811 * * [simplify]: Extracting #3: cost 124 inf + 1 166.812 * * [simplify]: Extracting #4: cost 161 inf + 547 166.815 * * [simplify]: Extracting #5: cost 125 inf + 3331 166.823 * * [simplify]: Extracting #6: cost 63 inf + 26730 166.842 * * [simplify]: Extracting #7: cost 12 inf + 62575 166.853 * * [simplify]: Extracting #8: cost 0 inf + 71924 166.866 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 166.866 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 166.866 * * * * [progress]: [ 290 / 315 ] simplifiying candidate # 166.866 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 166.866 * * [simplify]: iters left: 6 (14 enodes) 166.875 * * [simplify]: iters left: 5 (60 enodes) 166.895 * * [simplify]: iters left: 4 (98 enodes) 166.914 * * [simplify]: iters left: 3 (154 enodes) 166.951 * * [simplify]: iters left: 2 (277 enodes) 167.041 * * [simplify]: Extracting #0: cost 1 inf + 0 167.041 * * [simplify]: Extracting #1: cost 6 inf + 0 167.041 * * [simplify]: Extracting #2: cost 27 inf + 0 167.042 * * [simplify]: Extracting #3: cost 96 inf + 1 167.043 * * [simplify]: Extracting #4: cost 118 inf + 343 167.045 * * [simplify]: Extracting #5: cost 69 inf + 7820 167.051 * * [simplify]: Extracting #6: cost 30 inf + 15107 167.060 * * [simplify]: Extracting #7: cost 1 inf + 33879 167.070 * * [simplify]: Extracting #8: cost 0 inf + 34836 167.080 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 167.080 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 167.080 * * * * [progress]: [ 291 / 315 ] simplifiying candidate # 167.081 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 167.081 * * [simplify]: iters left: 6 (10 enodes) 167.087 * * [simplify]: iters left: 5 (42 enodes) 167.101 * * [simplify]: iters left: 4 (65 enodes) 167.123 * * [simplify]: iters left: 3 (102 enodes) 167.146 * * [simplify]: iters left: 2 (194 enodes) 167.201 * * [simplify]: iters left: 1 (369 enodes) 167.316 * * [simplify]: Extracting #0: cost 1 inf + 0 167.316 * * [simplify]: Extracting #1: cost 6 inf + 0 167.316 * * [simplify]: Extracting #2: cost 41 inf + 0 167.317 * * [simplify]: Extracting #3: cost 120 inf + 84 167.317 * * [simplify]: Extracting #4: cost 150 inf + 632 167.319 * * [simplify]: Extracting #5: cost 101 inf + 9941 167.325 * * [simplify]: Extracting #6: cost 31 inf + 43542 167.339 * * [simplify]: Extracting #7: cost 1 inf + 71261 167.351 * * [simplify]: Extracting #8: cost 0 inf + 68919 167.362 * * [simplify]: Extracting #9: cost 0 inf + 66507 167.375 * * [simplify]: Extracting #10: cost 0 inf + 65470 167.397 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 167.397 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 167.397 * * * * [progress]: [ 292 / 315 ] simplifiying candidate # 167.398 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.398 * * [simplify]: iters left: 6 (13 enodes) 167.405 * * [simplify]: iters left: 5 (54 enodes) 167.415 * * [simplify]: iters left: 4 (87 enodes) 167.432 * * [simplify]: iters left: 3 (127 enodes) 167.471 * * [simplify]: iters left: 2 (196 enodes) 167.523 * * [simplify]: iters left: 1 (351 enodes) 167.649 * * [simplify]: Extracting #0: cost 1 inf + 0 167.649 * * [simplify]: Extracting #1: cost 4 inf + 0 167.649 * * [simplify]: Extracting #2: cost 8 inf + 0 167.649 * * [simplify]: Extracting #3: cost 32 inf + 1 167.649 * * [simplify]: Extracting #4: cost 115 inf + 43 167.650 * * [simplify]: Extracting #5: cost 148 inf + 301 167.651 * * [simplify]: Extracting #6: cost 97 inf + 9254 167.657 * * [simplify]: Extracting #7: cost 25 inf + 48526 167.667 * * [simplify]: Extracting #8: cost 0 inf + 66742 167.679 * * [simplify]: Extracting #9: cost 0 inf + 66320 167.695 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.695 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 167.695 * * * * [progress]: [ 293 / 315 ] simplifiying candidate # 167.695 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.695 * * [simplify]: iters left: 6 (13 enodes) 167.699 * * [simplify]: iters left: 5 (54 enodes) 167.711 * * [simplify]: iters left: 4 (88 enodes) 167.731 * * [simplify]: iters left: 3 (124 enodes) 167.753 * * [simplify]: iters left: 2 (192 enodes) 167.803 * * [simplify]: iters left: 1 (353 enodes) 167.946 * * [simplify]: Extracting #0: cost 1 inf + 0 167.946 * * [simplify]: Extracting #1: cost 4 inf + 0 167.946 * * [simplify]: Extracting #2: cost 9 inf + 0 167.946 * * [simplify]: Extracting #3: cost 33 inf + 1 167.947 * * [simplify]: Extracting #4: cost 119 inf + 43 167.947 * * [simplify]: Extracting #5: cost 143 inf + 633 167.949 * * [simplify]: Extracting #6: cost 96 inf + 8965 167.956 * * [simplify]: Extracting #7: cost 19 inf + 49656 167.966 * * [simplify]: Extracting #8: cost 0 inf + 65011 167.984 * * [simplify]: Extracting #9: cost 0 inf + 64202 168.010 * * [simplify]: Extracting #10: cost 0 inf + 61652 168.033 * * [simplify]: Extracting #11: cost 0 inf + 61028 168.051 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.051 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 168.051 * * * * [progress]: [ 294 / 315 ] simplifiying candidate # 168.051 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 168.051 * * [simplify]: iters left: 6 (12 enodes) 168.055 * * [simplify]: iters left: 5 (51 enodes) 168.064 * * [simplify]: iters left: 4 (86 enodes) 168.078 * * [simplify]: iters left: 3 (131 enodes) 168.114 * * [simplify]: iters left: 2 (210 enodes) 168.160 * * [simplify]: iters left: 1 (376 enodes) 168.318 * * [simplify]: Extracting #0: cost 1 inf + 0 168.318 * * [simplify]: Extracting #1: cost 6 inf + 0 168.318 * * [simplify]: Extracting #2: cost 39 inf + 0 168.319 * * [simplify]: Extracting #3: cost 126 inf + 43 168.319 * * [simplify]: Extracting #4: cost 157 inf + 427 168.321 * * [simplify]: Extracting #5: cost 123 inf + 3535 168.323 * * [simplify]: Extracting #6: cost 80 inf + 12590 168.329 * * [simplify]: Extracting #7: cost 35 inf + 41559 168.338 * * [simplify]: Extracting #8: cost 0 inf + 71226 168.348 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 168.348 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 168.348 * * * * [progress]: [ 295 / 315 ] simplifiying candidate # 168.348 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 168.348 * * [simplify]: iters left: 6 (13 enodes) 168.352 * * [simplify]: iters left: 5 (57 enodes) 168.362 * * [simplify]: iters left: 4 (95 enodes) 168.378 * * [simplify]: iters left: 3 (148 enodes) 168.412 * * [simplify]: iters left: 2 (248 enodes) 168.461 * * [simplify]: iters left: 1 (441 enodes) 168.614 * * [simplify]: Extracting #0: cost 1 inf + 0 168.614 * * [simplify]: Extracting #1: cost 6 inf + 0 168.615 * * [simplify]: Extracting #2: cost 39 inf + 0 168.616 * * [simplify]: Extracting #3: cost 136 inf + 84 168.617 * * [simplify]: Extracting #4: cost 174 inf + 678 168.622 * * [simplify]: Extracting #5: cost 122 inf + 10036 168.635 * * [simplify]: Extracting #6: cost 42 inf + 40247 168.656 * * [simplify]: Extracting #7: cost 1 inf + 72437 168.682 * * [simplify]: Extracting #8: cost 0 inf + 71690 168.704 * * [simplify]: Extracting #9: cost 0 inf + 71650 168.726 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 168.726 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 168.726 * * * * [progress]: [ 296 / 315 ] simplifiying candidate # 168.726 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 168.727 * * [simplify]: iters left: 6 (12 enodes) 168.733 * * [simplify]: iters left: 5 (51 enodes) 168.751 * * [simplify]: iters left: 4 (86 enodes) 168.778 * * [simplify]: iters left: 3 (131 enodes) 168.822 * * [simplify]: iters left: 2 (210 enodes) 168.867 * * [simplify]: iters left: 1 (376 enodes) 169.001 * * [simplify]: Extracting #0: cost 1 inf + 0 169.001 * * [simplify]: Extracting #1: cost 6 inf + 0 169.001 * * [simplify]: Extracting #2: cost 39 inf + 0 169.002 * * [simplify]: Extracting #3: cost 126 inf + 43 169.002 * * [simplify]: Extracting #4: cost 157 inf + 427 169.004 * * [simplify]: Extracting #5: cost 123 inf + 3535 169.006 * * [simplify]: Extracting #6: cost 80 inf + 12590 169.014 * * [simplify]: Extracting #7: cost 35 inf + 41559 169.032 * * [simplify]: Extracting #8: cost 0 inf + 71226 169.051 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 169.051 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 169.052 * * * * [progress]: [ 297 / 315 ] simplifiying candidate # 169.052 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 169.052 * * [simplify]: iters left: 6 (11 enodes) 169.058 * * [simplify]: iters left: 5 (48 enodes) 169.068 * * [simplify]: iters left: 4 (79 enodes) 169.081 * * [simplify]: iters left: 3 (124 enodes) 169.106 * * [simplify]: iters left: 2 (221 enodes) 169.168 * * [simplify]: iters left: 1 (402 enodes) 169.365 * * [simplify]: Extracting #0: cost 1 inf + 0 169.365 * * [simplify]: Extracting #1: cost 6 inf + 0 169.366 * * [simplify]: Extracting #2: cost 37 inf + 1 169.366 * * [simplify]: Extracting #3: cost 125 inf + 2 169.368 * * [simplify]: Extracting #4: cost 185 inf + 220 169.369 * * [simplify]: Extracting #5: cost 170 inf + 1641 169.379 * * [simplify]: Extracting #6: cost 64 inf + 31511 169.401 * * [simplify]: Extracting #7: cost 9 inf + 62185 169.427 * * [simplify]: Extracting #8: cost 0 inf + 67148 169.454 * * [simplify]: Extracting #9: cost 0 inf + 65772 169.480 * * [simplify]: Extracting #10: cost 0 inf + 65690 169.493 * * [simplify]: Extracting #11: cost 0 inf + 65357 169.506 * [simplify]: Simplified to (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 169.506 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) 169.506 * * * * [progress]: [ 298 / 315 ] simplifiying candidate # 169.506 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 169.506 * * [simplify]: iters left: 5 (8 enodes) 169.509 * * [simplify]: iters left: 4 (31 enodes) 169.514 * * [simplify]: iters left: 3 (51 enodes) 169.530 * * [simplify]: iters left: 2 (85 enodes) 169.544 * * [simplify]: iters left: 1 (152 enodes) 169.584 * * [simplify]: Extracting #0: cost 1 inf + 0 169.584 * * [simplify]: Extracting #1: cost 13 inf + 0 169.584 * * [simplify]: Extracting #2: cost 59 inf + 1 169.585 * * [simplify]: Extracting #3: cost 76 inf + 9 169.586 * * [simplify]: Extracting #4: cost 41 inf + 3303 169.589 * * [simplify]: Extracting #5: cost 16 inf + 10676 169.594 * * [simplify]: Extracting #6: cost 0 inf + 21028 169.599 * * [simplify]: Extracting #7: cost 0 inf + 20456 169.602 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 169.602 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2)))) 169.602 * * * * [progress]: [ 299 / 315 ] simplifiying candidate # 169.602 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 169.602 * * [simplify]: iters left: 3 (3 enodes) 169.605 * * [simplify]: iters left: 2 (11 enodes) 169.607 * * [simplify]: iters left: 1 (13 enodes) 169.609 * * [simplify]: Extracting #0: cost 1 inf + 0 169.609 * * [simplify]: Extracting #1: cost 0 inf + 1 169.609 * [simplify]: Simplified to 1 169.609 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)))) 169.609 * * * * [progress]: [ 300 / 315 ] simplifiying candidate # 169.609 * [simplify]: Simplifying (sqrt 1) 169.609 * * [simplify]: iters left: 1 (2 enodes) 169.611 * * [simplify]: Extracting #0: cost 1 inf + 0 169.611 * * [simplify]: Extracting #1: cost 0 inf + 1 169.611 * [simplify]: Simplified to 1 169.611 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)))) 169.611 * * * * [progress]: [ 301 / 315 ] simplifiying candidate # 169.611 * * * * [progress]: [ 302 / 315 ] simplifiying candidate # 169.611 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 169.611 * * [simplify]: iters left: 5 (10 enodes) 169.614 * * [simplify]: iters left: 4 (45 enodes) 169.622 * * [simplify]: iters left: 3 (78 enodes) 169.635 * * [simplify]: iters left: 2 (118 enodes) 169.662 * * [simplify]: iters left: 1 (191 enodes) 169.698 * * [simplify]: Extracting #0: cost 1 inf + 0 169.698 * * [simplify]: Extracting #1: cost 13 inf + 0 169.698 * * [simplify]: Extracting #2: cost 60 inf + 1 169.699 * * [simplify]: Extracting #3: cost 92 inf + 7 169.699 * * [simplify]: Extracting #4: cost 83 inf + 930 169.702 * * [simplify]: Extracting #5: cost 41 inf + 6729 169.706 * * [simplify]: Extracting #6: cost 13 inf + 16801 169.714 * * [simplify]: Extracting #7: cost 0 inf + 25197 169.721 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 169.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 169.721 * * * * [progress]: [ 303 / 315 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 169.721 * * * * [progress]: [ 304 / 315 ] simplifiying candidate # 169.722 * [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))))) 169.722 * * [simplify]: iters left: 6 (37 enodes) 169.744 * * [simplify]: iters left: 5 (190 enodes) 169.821 * * [simplify]: Extracting #0: cost 1 inf + 0 169.821 * * [simplify]: Extracting #1: cost 22 inf + 0 169.821 * * [simplify]: Extracting #2: cost 108 inf + 1 169.822 * * [simplify]: Extracting #3: cost 171 inf + 46 169.822 * * [simplify]: Extracting #4: cost 189 inf + 427 169.825 * * [simplify]: Extracting #5: cost 128 inf + 16032 169.833 * * [simplify]: Extracting #6: cost 29 inf + 57153 169.859 * * [simplify]: Extracting #7: cost 4 inf + 75884 169.876 * * [simplify]: Extracting #8: cost 0 inf + 78767 169.901 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 169.901 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))))) 169.902 * * * * [progress]: [ 305 / 315 ] simplifiying candidate # 169.902 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 169.902 * * [simplify]: iters left: 6 (15 enodes) 169.912 * * [simplify]: iters left: 5 (65 enodes) 169.935 * * [simplify]: iters left: 4 (123 enodes) 169.971 * * [simplify]: iters left: 3 (367 enodes) 170.118 * * [simplify]: Extracting #0: cost 1 inf + 0 170.118 * * [simplify]: Extracting #1: cost 37 inf + 0 170.119 * * [simplify]: Extracting #2: cost 216 inf + 72 170.121 * * [simplify]: Extracting #3: cost 356 inf + 1622 170.130 * * [simplify]: Extracting #4: cost 219 inf + 28945 170.156 * * [simplify]: Extracting #5: cost 21 inf + 83197 170.193 * * [simplify]: Extracting #6: cost 0 inf + 89881 170.224 * * [simplify]: Extracting #7: cost 0 inf + 89729 170.256 * * [simplify]: Extracting #8: cost 0 inf + 89726 170.277 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 170.277 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))))) 170.277 * * * * [progress]: [ 306 / 315 ] simplifiying candidate # 170.277 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 170.277 * * [simplify]: iters left: 6 (16 enodes) 170.282 * * [simplify]: iters left: 5 (67 enodes) 170.296 * * [simplify]: iters left: 4 (134 enodes) 170.355 * * [simplify]: iters left: 3 (413 enodes) 170.553 * * [simplify]: Extracting #0: cost 1 inf + 0 170.553 * * [simplify]: Extracting #1: cost 39 inf + 0 170.554 * * [simplify]: Extracting #2: cost 241 inf + 72 170.563 * * [simplify]: Extracting #3: cost 450 inf + 903 170.568 * * [simplify]: Extracting #4: cost 376 inf + 10375 170.587 * * [simplify]: Extracting #5: cost 158 inf + 67083 170.628 * * [simplify]: Extracting #6: cost 12 inf + 118840 170.674 * * [simplify]: Extracting #7: cost 0 inf + 121984 170.704 * * [simplify]: Extracting #8: cost 0 inf + 121983 170.735 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 170.735 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))))) 170.735 * * * * [progress]: [ 307 / 315 ] simplifiying candidate # 170.736 * [simplify]: Simplifying (* 2 (* n PI)) 170.736 * * [simplify]: iters left: 4 (5 enodes) 170.738 * * [simplify]: iters left: 3 (19 enodes) 170.741 * * [simplify]: iters left: 2 (27 enodes) 170.745 * * [simplify]: iters left: 1 (32 enodes) 170.749 * * [simplify]: Extracting #0: cost 1 inf + 0 170.749 * * [simplify]: Extracting #1: cost 8 inf + 0 170.749 * * [simplify]: Extracting #2: cost 7 inf + 45 170.750 * * [simplify]: Extracting #3: cost 0 inf + 421 170.750 * [simplify]: Simplified to (* (* PI n) 2) 170.750 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 170.750 * * * * [progress]: [ 308 / 315 ] simplifiying candidate # 170.750 * [simplify]: Simplifying (* 2 (* n PI)) 170.750 * * [simplify]: iters left: 4 (5 enodes) 170.752 * * [simplify]: iters left: 3 (19 enodes) 170.755 * * [simplify]: iters left: 2 (27 enodes) 170.760 * * [simplify]: iters left: 1 (32 enodes) 170.768 * * [simplify]: Extracting #0: cost 1 inf + 0 170.768 * * [simplify]: Extracting #1: cost 8 inf + 0 170.768 * * [simplify]: Extracting #2: cost 7 inf + 45 170.768 * * [simplify]: Extracting #3: cost 0 inf + 421 170.769 * [simplify]: Simplified to (* (* PI n) 2) 170.769 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 170.769 * * * * [progress]: [ 309 / 315 ] simplifiying candidate # 170.769 * [simplify]: Simplifying (* 2 (* n PI)) 170.769 * * [simplify]: iters left: 4 (5 enodes) 170.772 * * [simplify]: iters left: 3 (19 enodes) 170.778 * * [simplify]: iters left: 2 (27 enodes) 170.786 * * [simplify]: iters left: 1 (32 enodes) 170.794 * * [simplify]: Extracting #0: cost 1 inf + 0 170.794 * * [simplify]: Extracting #1: cost 8 inf + 0 170.794 * * [simplify]: Extracting #2: cost 7 inf + 45 170.794 * * [simplify]: Extracting #3: cost 0 inf + 421 170.795 * [simplify]: Simplified to (* (* PI n) 2) 170.795 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 170.795 * * * * [progress]: [ 310 / 315 ] simplifiying candidate # 170.795 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 170.795 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 170.796 * * * * [progress]: [ 311 / 315 ] simplifiying candidate # 170.796 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 170.796 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 170.796 * * * * [progress]: [ 312 / 315 ] simplifiying candidate # 170.797 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 170.797 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 170.797 * * * * [progress]: [ 313 / 315 ] simplifiying candidate # 170.797 * [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))))))))))))) 170.797 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 170.798 * * * * [progress]: [ 314 / 315 ] simplifiying candidate # 170.798 * [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)))))))) 170.799 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 170.799 * * * * [progress]: [ 315 / 315 ] simplifiying candidate # 170.800 * [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)))))))))))) 170.800 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 170.801 * * * [progress]: adding candidates to table 174.666 * [progress]: [Phase 3 of 3] Extracting. 174.666 * * [regime]: Finding splitpoints for: (# # # # # # # #) 174.668 * * * [regime-changes]: Trying 2 branch expressions: (n k) 174.668 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 174.725 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 174.786 * * * [regime]: Found split indices: #